10.210 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.093 * [simplify]: Sending expressions to egg_math: (* (/ h0 (sqrt h1)) (pow (* (* h2 h3) h4) (/ (- h0 h1) h2))) 0.096 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.097 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.099 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.101 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.107 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.130 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.165 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.189 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.232 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 0.232 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.232 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.232 * [taylor]: Taking taylor expansion of 0.5 in k 0.232 * [backup-simplify]: Simplify 0.5 into 0.5 0.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.232 * [taylor]: Taking taylor expansion of 1.0 in k 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [taylor]: Taking taylor expansion of k in k 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.232 * [taylor]: Taking taylor expansion of 2.0 in k 0.232 * [backup-simplify]: Simplify 2.0 into 2.0 0.232 * [taylor]: Taking taylor expansion of (* n PI) in k 0.232 * [taylor]: Taking taylor expansion of n in k 0.232 * [backup-simplify]: Simplify n into n 0.232 * [taylor]: Taking taylor expansion of PI in k 0.233 * [backup-simplify]: Simplify PI into PI 0.233 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.233 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.233 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.233 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.234 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.234 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.234 * [taylor]: Taking taylor expansion of 0.5 in n 0.234 * [backup-simplify]: Simplify 0.5 into 0.5 0.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.234 * [taylor]: Taking taylor expansion of 1.0 in n 0.234 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [taylor]: Taking taylor expansion of k in n 0.234 * [backup-simplify]: Simplify k into k 0.234 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.234 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.234 * [taylor]: Taking taylor expansion of 2.0 in n 0.234 * [backup-simplify]: Simplify 2.0 into 2.0 0.234 * [taylor]: Taking taylor expansion of (* n PI) in n 0.234 * [taylor]: Taking taylor expansion of n in n 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of PI in n 0.234 * [backup-simplify]: Simplify PI into PI 0.234 * [backup-simplify]: Simplify (* 0 PI) into 0 0.235 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.236 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.237 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.237 * [backup-simplify]: Simplify (- k) into (- k) 0.237 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.237 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.239 * [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)))) 0.239 * [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))))) 0.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.240 * [taylor]: Taking taylor expansion of 0.5 in n 0.240 * [backup-simplify]: Simplify 0.5 into 0.5 0.240 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.240 * [taylor]: Taking taylor expansion of 1.0 in n 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [taylor]: Taking taylor expansion of k in n 0.240 * [backup-simplify]: Simplify k into k 0.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.240 * [taylor]: Taking taylor expansion of 2.0 in n 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [taylor]: Taking taylor expansion of (* n PI) in n 0.240 * [taylor]: Taking taylor expansion of n in n 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of PI in n 0.240 * [backup-simplify]: Simplify PI into PI 0.240 * [backup-simplify]: Simplify (* 0 PI) into 0 0.241 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.246 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.246 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.246 * [backup-simplify]: Simplify (- k) into (- k) 0.246 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.247 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.247 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.248 * [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)))) 0.249 * [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))))) 0.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.249 * [taylor]: Taking taylor expansion of 0.5 in k 0.249 * [backup-simplify]: Simplify 0.5 into 0.5 0.249 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.249 * [taylor]: Taking taylor expansion of 1.0 in k 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [taylor]: Taking taylor expansion of k in k 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.249 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.249 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.249 * [taylor]: Taking taylor expansion of 2.0 in k 0.249 * [backup-simplify]: Simplify 2.0 into 2.0 0.249 * [taylor]: Taking taylor expansion of PI in k 0.249 * [backup-simplify]: Simplify PI into PI 0.249 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.250 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.250 * [taylor]: Taking taylor expansion of (log n) in k 0.250 * [taylor]: Taking taylor expansion of n in k 0.250 * [backup-simplify]: Simplify n into n 0.250 * [backup-simplify]: Simplify (log n) into (log n) 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.251 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 0.252 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 0.252 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 0.253 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.254 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 0.257 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.258 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 0.259 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.259 * [taylor]: Taking taylor expansion of 0 in k 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 0.264 * [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)))) 0.266 * [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)))))) 0.268 * [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)))))) 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.273 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.275 * [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 0.275 * [taylor]: Taking taylor expansion of 0 in k 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.277 * [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 0.278 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 0.284 * [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)))))) 0.287 * [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)))))) 0.293 * [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)))))) 0.293 * [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)))) 0.293 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.293 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.293 * [taylor]: Taking taylor expansion of 0.5 in k 0.293 * [backup-simplify]: Simplify 0.5 into 0.5 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.294 * [taylor]: Taking taylor expansion of 2.0 in k 0.294 * [backup-simplify]: Simplify 2.0 into 2.0 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.294 * [taylor]: Taking taylor expansion of PI in k 0.294 * [backup-simplify]: Simplify PI into PI 0.294 * [taylor]: Taking taylor expansion of n in k 0.294 * [backup-simplify]: Simplify n into n 0.294 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.294 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.294 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.294 * [backup-simplify]: Simplify (- 1) into -1 0.294 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.295 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.295 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.295 * [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))))) 0.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.295 * [taylor]: Taking taylor expansion of 0.5 in n 0.295 * [backup-simplify]: Simplify 0.5 into 0.5 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [backup-simplify]: Simplify k into k 0.295 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.295 * [taylor]: Taking taylor expansion of 2.0 in n 0.295 * [backup-simplify]: Simplify 2.0 into 2.0 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.295 * [backup-simplify]: Simplify PI into PI 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ PI 1) into PI 0.296 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.297 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.297 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.297 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.297 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.298 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.299 * [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))))) 0.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [backup-simplify]: Simplify 0.5 into 0.5 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [backup-simplify]: Simplify k into k 0.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [backup-simplify]: Simplify 2.0 into 2.0 0.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [backup-simplify]: Simplify PI into PI 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ PI 1) into PI 0.300 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.301 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.301 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.301 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.301 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.302 * [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)))) 0.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.303 * [taylor]: Taking taylor expansion of 0.5 in k 0.303 * [backup-simplify]: Simplify 0.5 into 0.5 0.303 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.303 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.303 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.303 * [taylor]: Taking taylor expansion of 2.0 in k 0.303 * [backup-simplify]: Simplify 2.0 into 2.0 0.303 * [taylor]: Taking taylor expansion of PI in k 0.303 * [backup-simplify]: Simplify PI into PI 0.304 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.304 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.304 * [taylor]: Taking taylor expansion of (log n) in k 0.305 * [taylor]: Taking taylor expansion of n in k 0.305 * [backup-simplify]: Simplify n into n 0.305 * [backup-simplify]: Simplify (log n) into (log n) 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [backup-simplify]: Simplify 1.0 into 1.0 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.307 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 0.307 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.308 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 0.308 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 0.309 * [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))))) 0.310 * [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))))) 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.312 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.314 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 0.315 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in k 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.318 * [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 0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 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)) 0.321 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 0.322 * [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 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.326 * [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 0.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.330 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 0.331 * [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 0.331 * [taylor]: Taking taylor expansion of 0 in k 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [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)))) 0.332 * [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))) 0.332 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.333 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.333 * [taylor]: Taking taylor expansion of 0.5 in k 0.333 * [backup-simplify]: Simplify 0.5 into 0.5 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [backup-simplify]: Simplify 1.0 into 1.0 0.333 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.333 * [taylor]: Taking taylor expansion of -2.0 in k 0.333 * [backup-simplify]: Simplify -2.0 into -2.0 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.333 * [backup-simplify]: Simplify PI into PI 0.333 * [taylor]: Taking taylor expansion of n in k 0.333 * [backup-simplify]: Simplify n into n 0.333 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.333 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.333 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.334 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.334 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.334 * [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)))))) 0.334 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.334 * [taylor]: Taking taylor expansion of 0.5 in n 0.334 * [backup-simplify]: Simplify 0.5 into 0.5 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.334 * [taylor]: Taking taylor expansion of k in n 0.334 * [backup-simplify]: Simplify k into k 0.334 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.334 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.334 * [taylor]: Taking taylor expansion of -2.0 in n 0.334 * [backup-simplify]: Simplify -2.0 into -2.0 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.334 * [backup-simplify]: Simplify PI into PI 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ PI 1) into PI 0.335 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.341 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.341 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.341 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.343 * [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)))) 0.344 * [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))))) 0.344 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.344 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [backup-simplify]: Simplify 0.5 into 0.5 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.344 * [taylor]: Taking taylor expansion of k in n 0.344 * [backup-simplify]: Simplify k into k 0.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.344 * [taylor]: Taking taylor expansion of -2.0 in n 0.344 * [backup-simplify]: Simplify -2.0 into -2.0 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.344 * [backup-simplify]: Simplify PI into PI 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ PI 1) into PI 0.345 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.345 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.345 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.345 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.347 * [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)))) 0.348 * [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))))) 0.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.348 * [taylor]: Taking taylor expansion of 0.5 in k 0.348 * [backup-simplify]: Simplify 0.5 into 0.5 0.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [taylor]: Taking taylor expansion of 1.0 in k 0.348 * [backup-simplify]: Simplify 1.0 into 1.0 0.348 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.348 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.348 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.348 * [taylor]: Taking taylor expansion of -2.0 in k 0.348 * [backup-simplify]: Simplify -2.0 into -2.0 0.348 * [taylor]: Taking taylor expansion of PI in k 0.348 * [backup-simplify]: Simplify PI into PI 0.349 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.349 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.349 * [taylor]: Taking taylor expansion of (log n) in k 0.349 * [taylor]: Taking taylor expansion of n in k 0.349 * [backup-simplify]: Simplify n into n 0.349 * [backup-simplify]: Simplify (log n) into (log n) 0.350 * [backup-simplify]: Simplify (+ 1 0) into 1 0.350 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.350 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 0.351 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 0.352 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 0.352 * [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 * [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))))) 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 0.356 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.357 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.358 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.358 * [taylor]: Taking taylor expansion of 0 in k 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.361 * [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 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 0.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.364 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of 0 in k 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.369 * [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 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 0.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.372 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of 0 in k 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 0 into 0 0.375 * [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)))))) 0.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.375 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 0.375 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.375 * [taylor]: Taking taylor expansion of 1.0 in k 0.375 * [backup-simplify]: Simplify 1.0 into 1.0 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.375 * [taylor]: Taking taylor expansion of k in k 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (sqrt 0) into 0 0.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [backup-simplify]: Simplify 1.0 into 1.0 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (sqrt 0) into 0 0.378 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.378 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.379 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.382 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.382 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.386 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.387 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 0.387 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 0.387 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [backup-simplify]: Simplify 1.0 into 1.0 0.387 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.387 * [taylor]: Taking taylor expansion of k in k 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 1 into 1 0.388 * [backup-simplify]: Simplify (sqrt 0) into 0 0.388 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.388 * [taylor]: Taking taylor expansion of 1.0 in k 0.389 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.389 * [taylor]: Taking taylor expansion of k in k 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.390 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.394 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.394 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.397 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.398 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.399 * [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)))))))) 0.399 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 0.399 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.399 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.399 * [taylor]: Taking taylor expansion of 1.0 in k 0.399 * [backup-simplify]: Simplify 1.0 into 1.0 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.399 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.399 * [taylor]: Taking taylor expansion of -1 in k 0.399 * [backup-simplify]: Simplify -1 into -1 0.399 * [taylor]: Taking taylor expansion of k in k 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (/ -1 1) into -1 0.399 * [backup-simplify]: Simplify (sqrt 0) into 0 0.400 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.400 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.400 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.400 * [taylor]: Taking taylor expansion of 1.0 in k 0.400 * [backup-simplify]: Simplify 1.0 into 1.0 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.400 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.400 * [taylor]: Taking taylor expansion of -1 in k 0.400 * [backup-simplify]: Simplify -1 into -1 0.400 * [taylor]: Taking taylor expansion of k in k 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ -1 1) into -1 0.401 * [backup-simplify]: Simplify (sqrt 0) into 0 0.402 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.402 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.405 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.411 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.411 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.411 * [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))))) 0.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.412 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.412 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.412 * [taylor]: Taking taylor expansion of 2.0 in n 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [taylor]: Taking taylor expansion of (* n PI) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [backup-simplify]: Simplify PI into PI 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.412 * [taylor]: Taking taylor expansion of 2.0 in n 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [taylor]: Taking taylor expansion of (* n PI) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 1 into 1 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [backup-simplify]: Simplify PI into PI 0.413 * [backup-simplify]: Simplify (* 0 PI) into 0 0.413 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.415 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.415 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.420 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.422 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.422 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.425 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 0.425 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.425 * [taylor]: Taking taylor expansion of 2.0 in n 0.425 * [backup-simplify]: Simplify 2.0 into 2.0 0.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.425 * [backup-simplify]: Simplify PI into PI 0.425 * [taylor]: Taking taylor expansion of n in n 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ PI 1) into PI 0.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.425 * [taylor]: Taking taylor expansion of 2.0 in n 0.425 * [backup-simplify]: Simplify 2.0 into 2.0 0.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.425 * [backup-simplify]: Simplify PI into PI 0.425 * [taylor]: Taking taylor expansion of n in n 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ PI 1) into PI 0.426 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.426 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.434 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 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 (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 0.440 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 0.440 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.440 * [taylor]: Taking taylor expansion of -2.0 in n 0.440 * [backup-simplify]: Simplify -2.0 into -2.0 0.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.441 * [backup-simplify]: Simplify PI into PI 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ PI 1) into PI 0.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.441 * [taylor]: Taking taylor expansion of -2.0 in n 0.441 * [backup-simplify]: Simplify -2.0 into -2.0 0.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.441 * [backup-simplify]: Simplify PI into PI 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ PI 1) into PI 0.442 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.442 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.445 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 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 (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 0.451 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.451 * [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))))) 0.451 * [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 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [backup-simplify]: Simplify 1.0 into 1.0 0.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.451 * [taylor]: Taking taylor expansion of k in n 0.451 * [backup-simplify]: Simplify k into k 0.451 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.451 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.452 * [taylor]: Taking taylor expansion of 0.5 in n 0.452 * [backup-simplify]: Simplify 0.5 into 0.5 0.452 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [taylor]: Taking taylor expansion of k in n 0.452 * [backup-simplify]: Simplify k into k 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [backup-simplify]: Simplify 2.0 into 2.0 0.452 * [taylor]: Taking taylor expansion of (* n PI) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of PI in n 0.452 * [backup-simplify]: Simplify PI into PI 0.452 * [backup-simplify]: Simplify (* 0 PI) into 0 0.453 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.454 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.455 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.455 * [backup-simplify]: Simplify (- k) into (- k) 0.455 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.455 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.456 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.457 * [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)))) 0.457 * [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))))) 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.457 * [taylor]: Taking taylor expansion of 1.0 in k 0.457 * [backup-simplify]: Simplify 1.0 into 1.0 0.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.457 * [taylor]: Taking taylor expansion of k in k 0.457 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.458 * [backup-simplify]: Simplify (sqrt 0) into 0 0.459 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.459 * [taylor]: Taking taylor expansion of 0.5 in k 0.459 * [backup-simplify]: Simplify 0.5 into 0.5 0.459 * [taylor]: Taking taylor expansion of (- 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 0.459 * [taylor]: Taking taylor expansion of k in k 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.459 * [taylor]: Taking taylor expansion of 2.0 in k 0.459 * [backup-simplify]: Simplify 2.0 into 2.0 0.459 * [taylor]: Taking taylor expansion of (* n PI) in k 0.459 * [taylor]: Taking taylor expansion of n in k 0.459 * [backup-simplify]: Simplify n into n 0.459 * [taylor]: Taking taylor expansion of PI in k 0.459 * [backup-simplify]: Simplify PI into PI 0.459 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.459 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.459 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.460 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.460 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.460 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [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 0.461 * [backup-simplify]: Simplify (/ 1 1) into 1 0.461 * [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 0.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.462 * [taylor]: Taking taylor expansion of 0.5 in k 0.462 * [backup-simplify]: Simplify 0.5 into 0.5 0.462 * [taylor]: Taking taylor expansion of (- 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 k in k 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.462 * [taylor]: Taking taylor expansion of 2.0 in k 0.462 * [backup-simplify]: Simplify 2.0 into 2.0 0.462 * [taylor]: Taking taylor expansion of (* n PI) in k 0.462 * [taylor]: Taking taylor expansion of n in k 0.462 * [backup-simplify]: Simplify n into n 0.462 * [taylor]: Taking taylor expansion of PI in k 0.462 * [backup-simplify]: Simplify PI into PI 0.462 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.462 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.462 * [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 0.463 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.463 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.463 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.463 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 0.463 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in n 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.464 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 0.464 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 0.465 * [backup-simplify]: Simplify (- 1) into -1 0.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.466 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 0.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 0.467 * [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))) 0.468 * [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))) 0.469 * [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))) 0.469 * [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 0.469 * [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 0.469 * [taylor]: Taking taylor expansion of +nan.0 in n 0.469 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.469 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.469 * [taylor]: Taking taylor expansion of 0.5 in n 0.469 * [backup-simplify]: Simplify 0.5 into 0.5 0.469 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.469 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.469 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [backup-simplify]: Simplify 1.0 into 1.0 0.469 * [taylor]: Taking taylor expansion of (log PI) in n 0.469 * [taylor]: Taking taylor expansion of PI in n 0.469 * [backup-simplify]: Simplify PI into PI 0.469 * [backup-simplify]: Simplify (log PI) into (log PI) 0.470 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.471 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.471 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 n) in n 0.471 * [taylor]: Taking taylor expansion of n in n 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (log 1) into 0 0.471 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.471 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.471 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [backup-simplify]: Simplify 1.0 into 1.0 0.472 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.472 * [taylor]: Taking taylor expansion of 2.0 in n 0.472 * [backup-simplify]: Simplify 2.0 into 2.0 0.472 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.472 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.473 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.474 * [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) 0.474 * [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) 0.475 * [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)) 0.476 * [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))) 0.477 * [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) 0.478 * [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)) 0.478 * [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))) 0.479 * [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))) 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.480 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.481 * [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 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 0.483 * [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))) 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.487 * [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)))))))) 0.490 * [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)))))))) 0.490 * [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 0.490 * [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 0.490 * [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 0.491 * [taylor]: Taking taylor expansion of +nan.0 in n 0.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.491 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.491 * [taylor]: Taking taylor expansion of 0.5 in n 0.491 * [backup-simplify]: Simplify 0.5 into 0.5 0.491 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.491 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.491 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [backup-simplify]: Simplify 1.0 into 1.0 0.491 * [taylor]: Taking taylor expansion of (log PI) in n 0.491 * [taylor]: Taking taylor expansion of PI in n 0.491 * [backup-simplify]: Simplify PI into PI 0.491 * [backup-simplify]: Simplify (log PI) into (log PI) 0.492 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.493 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.493 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.493 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [backup-simplify]: Simplify 1.0 into 1.0 0.493 * [taylor]: Taking taylor expansion of (log n) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (log 1) into 0 0.493 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.493 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.493 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) 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 2.0) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.494 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.495 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.496 * [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) 0.497 * [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) 0.497 * [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)) 0.498 * [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))) 0.499 * [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) 0.499 * [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 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of +nan.0 in n 0.499 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.499 * [taylor]: Taking taylor expansion of 0.5 in n 0.499 * [backup-simplify]: Simplify 0.5 into 0.5 0.499 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.499 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.499 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.499 * [taylor]: Taking taylor expansion of 1.0 in n 0.499 * [backup-simplify]: Simplify 1.0 into 1.0 0.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.499 * [taylor]: Taking taylor expansion of 2.0 in n 0.499 * [backup-simplify]: Simplify 2.0 into 2.0 0.500 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.500 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.501 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (log PI) in n 0.501 * [taylor]: Taking taylor expansion of PI in n 0.501 * [backup-simplify]: Simplify PI into PI 0.501 * [backup-simplify]: Simplify (log PI) into (log PI) 0.502 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.503 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [taylor]: Taking taylor expansion of (log n) in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (log 1) into 0 0.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.503 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.504 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.504 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.505 * [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) 0.505 * [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)) 0.506 * [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))) 0.507 * [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) 0.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [backup-simplify]: Simplify 2.0 into 2.0 0.507 * [taylor]: Taking taylor expansion of (* n PI) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of PI in n 0.507 * [backup-simplify]: Simplify PI into PI 0.507 * [backup-simplify]: Simplify (* 0 PI) into 0 0.508 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.509 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.510 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.511 * [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)) 0.512 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.513 * [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)) 0.515 * [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))) 0.516 * [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)))))) 0.520 * [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)))))))) 0.523 * [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)))))))) 0.526 * [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 (* (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)))))))) 0.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 0.534 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 0.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.535 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.535 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 0.536 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 0.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 0.538 * [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 0.539 * [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 0.543 * [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 0.544 * [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 0.545 * [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 0.547 * [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 0.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 0.550 * [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 0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.556 * [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)))))))) 0.562 * [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)))))))) 0.562 * [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)) 0.564 * [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)) 0.565 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) 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 PI) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.565 * [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 0.571 * [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 0.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.575 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.575 * [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) 0.576 * [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) 0.577 * [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)) 0.578 * [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) 0.579 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.579 * [backup-simplify]: Simplify 2.0 into 2.0 0.579 * [taylor]: Taking taylor expansion of (* n PI) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [taylor]: Taking taylor expansion of PI in n 0.579 * [backup-simplify]: Simplify PI into PI 0.579 * [backup-simplify]: Simplify (* 0 PI) into 0 0.579 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.580 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.581 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.582 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.582 * [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 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of +nan.0 in n 0.582 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.582 * [taylor]: Taking taylor expansion of 0.5 in n 0.582 * [backup-simplify]: Simplify 0.5 into 0.5 0.582 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.582 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.582 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [backup-simplify]: Simplify 1.0 into 1.0 0.582 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.582 * [backup-simplify]: Simplify 2.0 into 2.0 0.582 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.583 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.584 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.584 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [backup-simplify]: Simplify 1.0 into 1.0 0.584 * [taylor]: Taking taylor expansion of (log PI) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [backup-simplify]: Simplify PI into PI 0.584 * [backup-simplify]: Simplify (log PI) into (log PI) 0.585 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.586 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.586 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [backup-simplify]: Simplify 1.0 into 1.0 0.586 * [taylor]: Taking taylor expansion of (log n) in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (log 1) into 0 0.586 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.586 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.586 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.587 * [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) 0.588 * [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)) 0.589 * [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))) 0.590 * [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) 0.590 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.590 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.590 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.590 * [backup-simplify]: Simplify 2.0 into 2.0 0.590 * [taylor]: Taking taylor expansion of (* n PI) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [taylor]: Taking taylor expansion of PI in n 0.590 * [backup-simplify]: Simplify PI into PI 0.590 * [backup-simplify]: Simplify (* 0 PI) into 0 0.591 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.593 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.593 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.595 * [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)) 0.596 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.597 * [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))) 0.599 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.601 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 0.603 * [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)) 0.604 * [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))) 0.606 * [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)))))))) 0.612 * [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)))))))))))) 0.621 * [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)))))))))))) 0.636 * [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)))))))))))))) 0.646 * [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)))))))))))))) 0.654 * [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)))))))))))))) 0.669 * [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)))))))))))))))))))))) 0.669 * [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)))))) 0.669 * [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 0.669 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.669 * [taylor]: Taking taylor expansion of 1.0 in n 0.669 * [backup-simplify]: Simplify 1.0 into 1.0 0.669 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.669 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.670 * [taylor]: Taking taylor expansion of k in n 0.670 * [backup-simplify]: Simplify k into k 0.670 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.670 * [taylor]: Taking taylor expansion of 0.5 in n 0.670 * [backup-simplify]: Simplify 0.5 into 0.5 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.670 * [taylor]: Taking taylor expansion of 1.0 in n 0.670 * [backup-simplify]: Simplify 1.0 into 1.0 0.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.670 * [taylor]: Taking taylor expansion of k in n 0.670 * [backup-simplify]: Simplify k into k 0.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.670 * [taylor]: Taking taylor expansion of 2.0 in n 0.670 * [backup-simplify]: Simplify 2.0 into 2.0 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.670 * [backup-simplify]: Simplify PI into PI 0.670 * [taylor]: Taking taylor expansion of n in n 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (/ PI 1) into PI 0.671 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.671 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.671 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.671 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.671 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.672 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.673 * [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)))) 0.674 * [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))))) 0.674 * [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 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.675 * [taylor]: Taking taylor expansion of 2.0 in k 0.675 * [backup-simplify]: Simplify 2.0 into 2.0 0.675 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.675 * [taylor]: Taking taylor expansion of PI in k 0.675 * [backup-simplify]: Simplify PI into PI 0.675 * [taylor]: Taking taylor expansion of n in k 0.675 * [backup-simplify]: Simplify n into n 0.675 * [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 0.676 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.676 * [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 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.677 * [taylor]: Taking taylor expansion of 1.0 in k 0.677 * [backup-simplify]: Simplify 1.0 into 1.0 0.677 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.677 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.677 * [taylor]: Taking taylor expansion of k in k 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (sqrt 0) into 0 0.678 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.678 * [taylor]: Taking taylor expansion of 0.5 in k 0.678 * [backup-simplify]: Simplify 0.5 into 0.5 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.678 * [taylor]: Taking taylor expansion of 1.0 in k 0.678 * [backup-simplify]: Simplify 1.0 into 1.0 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.678 * [taylor]: Taking taylor expansion of k in k 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.678 * [taylor]: Taking taylor expansion of 2.0 in k 0.678 * [backup-simplify]: Simplify 2.0 into 2.0 0.678 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.678 * [taylor]: Taking taylor expansion of PI in k 0.678 * [backup-simplify]: Simplify PI into PI 0.678 * [taylor]: Taking taylor expansion of n in k 0.678 * [backup-simplify]: Simplify n into n 0.678 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.678 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.678 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.679 * [backup-simplify]: Simplify (- 1) into -1 0.679 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.679 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.679 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.679 * [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))))) 0.680 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 0.680 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.680 * [taylor]: Taking taylor expansion of 0 in n 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [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))))))) 0.681 * [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))))))) 0.681 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.681 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.681 * [taylor]: Taking taylor expansion of +nan.0 in n 0.681 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.681 * [taylor]: Taking taylor expansion of 0.5 in n 0.681 * [backup-simplify]: Simplify 0.5 into 0.5 0.681 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.681 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.681 * [taylor]: Taking taylor expansion of 2.0 in n 0.681 * [backup-simplify]: Simplify 2.0 into 2.0 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.681 * [taylor]: Taking taylor expansion of PI in n 0.681 * [backup-simplify]: Simplify PI into PI 0.681 * [taylor]: Taking taylor expansion of n in n 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (/ PI 1) into PI 0.682 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.682 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.682 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [backup-simplify]: Simplify 1.0 into 1.0 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.682 * [taylor]: Taking taylor expansion of k in n 0.682 * [backup-simplify]: Simplify k into k 0.682 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.683 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.683 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.684 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.685 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.685 * [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))))) 0.686 * [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)))))) 0.687 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.688 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.688 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.690 * [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))))))) 0.691 * [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))))))) 0.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.691 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.691 * [taylor]: Taking taylor expansion of +nan.0 in n 0.691 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [backup-simplify]: Simplify 0.5 into 0.5 0.691 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.691 * [taylor]: Taking taylor expansion of 2.0 in n 0.691 * [backup-simplify]: Simplify 2.0 into 2.0 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [backup-simplify]: Simplify PI into PI 0.691 * [taylor]: Taking taylor expansion of n in n 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (/ PI 1) into PI 0.692 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.692 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.692 * [taylor]: Taking taylor expansion of 1.0 in n 0.692 * [backup-simplify]: Simplify 1.0 into 1.0 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.692 * [taylor]: Taking taylor expansion of k in n 0.692 * [backup-simplify]: Simplify k into k 0.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.693 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.693 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.694 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.695 * [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)))) 0.696 * [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))))) 0.696 * [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)))))) 0.697 * [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))))))) 0.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.699 * [backup-simplify]: Simplify (- 0) into 0 0.699 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.701 * [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 0.705 * [backup-simplify]: Simplify (- 0) into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.708 * [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))))))) 0.709 * [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))))))) 0.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.709 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.709 * [taylor]: Taking taylor expansion of +nan.0 in n 0.709 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.709 * [taylor]: Taking taylor expansion of 0.5 in n 0.709 * [backup-simplify]: Simplify 0.5 into 0.5 0.709 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.709 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [backup-simplify]: Simplify 2.0 into 2.0 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.709 * [backup-simplify]: Simplify PI into PI 0.709 * [taylor]: Taking taylor expansion of n in n 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ PI 1) into PI 0.709 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.710 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [backup-simplify]: Simplify 1.0 into 1.0 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.710 * [taylor]: Taking taylor expansion of k in n 0.710 * [backup-simplify]: Simplify k into k 0.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.711 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.711 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.712 * [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)))) 0.713 * [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))))) 0.714 * [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)))))) 0.715 * [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))))))) 0.715 * [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))))))) 0.724 * [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)))))))) 0.725 * [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)))) 0.725 * [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 0.725 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.725 * [taylor]: Taking taylor expansion of 1.0 in n 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 n 0.725 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.725 * [taylor]: Taking taylor expansion of 0.5 in n 0.725 * [backup-simplify]: Simplify 0.5 into 0.5 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.725 * [backup-simplify]: Simplify k into k 0.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.725 * [taylor]: Taking taylor expansion of 1.0 in n 0.725 * [backup-simplify]: Simplify 1.0 into 1.0 0.725 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.725 * [taylor]: Taking taylor expansion of -2.0 in n 0.725 * [backup-simplify]: Simplify -2.0 into -2.0 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.725 * [backup-simplify]: Simplify PI into PI 0.725 * [taylor]: Taking taylor expansion of n in n 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ PI 1) into PI 0.726 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.726 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.726 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.726 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.727 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.728 * [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)))) 0.729 * [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))))) 0.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.729 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.729 * [taylor]: Taking taylor expansion of -1 in n 0.729 * [backup-simplify]: Simplify -1 into -1 0.729 * [taylor]: Taking taylor expansion of k in n 0.729 * [backup-simplify]: Simplify k into k 0.729 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 0.729 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 0.729 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 0.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 0.730 * [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))) 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.730 * [taylor]: Taking taylor expansion of 1.0 in k 0.730 * [backup-simplify]: Simplify 1.0 into 1.0 0.730 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.730 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.730 * [taylor]: Taking taylor expansion of 0.5 in k 0.730 * [backup-simplify]: Simplify 0.5 into 0.5 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 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 * [taylor]: Taking taylor expansion of 1.0 in k 0.730 * [backup-simplify]: Simplify 1.0 into 1.0 0.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.730 * [taylor]: Taking taylor expansion of -2.0 in k 0.730 * [backup-simplify]: Simplify -2.0 into -2.0 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.730 * [taylor]: Taking taylor expansion of PI in k 0.730 * [backup-simplify]: Simplify PI into PI 0.730 * [taylor]: Taking taylor expansion of n in k 0.730 * [backup-simplify]: Simplify n into n 0.730 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.731 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.731 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.731 * [backup-simplify]: Simplify (+ 1 0) into 1 0.731 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.731 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.731 * [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)))))) 0.731 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.731 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.731 * [taylor]: Taking taylor expansion of -1 in k 0.731 * [backup-simplify]: Simplify -1 into -1 0.731 * [taylor]: Taking taylor expansion of k in k 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ -1 1) into -1 0.732 * [backup-simplify]: Simplify (sqrt 0) into 0 0.733 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.733 * [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))))))) 0.733 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.733 * [taylor]: Taking taylor expansion of 1.0 in k 0.733 * [backup-simplify]: Simplify 1.0 into 1.0 0.733 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.733 * [taylor]: Taking taylor expansion of 0.5 in k 0.733 * [backup-simplify]: Simplify 0.5 into 0.5 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.733 * [taylor]: Taking taylor expansion of k in k 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [taylor]: Taking taylor expansion of 1.0 in k 0.733 * [backup-simplify]: Simplify 1.0 into 1.0 0.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.733 * [taylor]: Taking taylor expansion of -2.0 in k 0.733 * [backup-simplify]: Simplify -2.0 into -2.0 0.733 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.733 * [taylor]: Taking taylor expansion of PI in k 0.733 * [backup-simplify]: Simplify PI into PI 0.734 * [taylor]: Taking taylor expansion of n in k 0.734 * [backup-simplify]: Simplify n into n 0.734 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.734 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.734 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.734 * [backup-simplify]: Simplify (+ 1 0) into 1 0.734 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.734 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.734 * [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)))))) 0.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.734 * [taylor]: Taking taylor expansion of -1 in k 0.734 * [backup-simplify]: Simplify -1 into -1 0.734 * [taylor]: Taking taylor expansion of k in k 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ -1 1) into -1 0.735 * [backup-simplify]: Simplify (sqrt 0) into 0 0.736 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.736 * [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))))))) 0.736 * [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))))))) 0.736 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.736 * [taylor]: Taking taylor expansion of +nan.0 in n 0.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.736 * [taylor]: Taking taylor expansion of 0.5 in n 0.736 * [backup-simplify]: Simplify 0.5 into 0.5 0.736 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.736 * [backup-simplify]: Simplify k into k 0.736 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.736 * [taylor]: Taking taylor expansion of 1.0 in n 0.736 * [backup-simplify]: Simplify 1.0 into 1.0 0.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.736 * [taylor]: Taking taylor expansion of -2.0 in n 0.737 * [backup-simplify]: Simplify -2.0 into -2.0 0.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.737 * [taylor]: Taking taylor expansion of PI in n 0.737 * [backup-simplify]: Simplify PI into PI 0.737 * [taylor]: Taking taylor expansion of n in n 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ PI 1) into PI 0.737 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.738 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.738 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.739 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.740 * [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)))) 0.741 * [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))))) 0.742 * [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)))))) 0.743 * [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)))))) 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.746 * [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)))))))) 0.746 * [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)))))))) 0.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.746 * [taylor]: Taking taylor expansion of +nan.0 in n 0.746 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.746 * [taylor]: Taking taylor expansion of 0.5 in n 0.746 * [backup-simplify]: Simplify 0.5 into 0.5 0.746 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.747 * [taylor]: Taking taylor expansion of k in n 0.747 * [backup-simplify]: Simplify k into k 0.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.747 * [taylor]: Taking taylor expansion of 1.0 in n 0.747 * [backup-simplify]: Simplify 1.0 into 1.0 0.747 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.747 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.747 * [taylor]: Taking taylor expansion of -2.0 in n 0.747 * [backup-simplify]: Simplify -2.0 into -2.0 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.747 * [taylor]: Taking taylor expansion of PI in n 0.747 * [backup-simplify]: Simplify PI into PI 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (/ PI 1) into PI 0.747 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.748 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.748 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.749 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.750 * [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)))) 0.751 * [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))))) 0.752 * [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)))))) 0.752 * [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))))))) 0.753 * [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))))))) 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.757 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 0.759 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.764 * [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)))))))) 0.764 * [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)))))))) 0.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.764 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.764 * [taylor]: Taking taylor expansion of +nan.0 in n 0.764 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.764 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.764 * [taylor]: Taking taylor expansion of 0.5 in n 0.764 * [backup-simplify]: Simplify 0.5 into 0.5 0.764 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.764 * [taylor]: Taking taylor expansion of k in n 0.764 * [backup-simplify]: Simplify k into k 0.764 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.764 * [taylor]: Taking taylor expansion of 1.0 in n 0.764 * [backup-simplify]: Simplify 1.0 into 1.0 0.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.765 * [taylor]: Taking taylor expansion of -2.0 in n 0.765 * [backup-simplify]: Simplify -2.0 into -2.0 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.765 * [backup-simplify]: Simplify PI into PI 0.765 * [taylor]: Taking taylor expansion of n in n 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ PI 1) into PI 0.765 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.766 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.766 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.767 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.768 * [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)))) 0.769 * [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))))) 0.769 * [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)))))) 0.770 * [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))))))) 0.771 * [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))))))) 0.774 * [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)))))))))))) 0.774 * * * [progress]: simplifying candidates 0.776 * [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) 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(- (+ (* +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)))))))))))) 0.777 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0)) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0)) (* (log (* (* 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(cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (+ (- (log h3) (log (sqrt h4))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (+ (log (/ h3 (sqrt h4))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (log (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (exp (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))))) (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (* (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (sqrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (sqrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* h3 (pow (* (* h0 h1) h2) (/ h3 h0))) (* (sqrt h4) (pow (* (* h0 h1) h2) (/ h4 h0))) (* (sqrt (/ h3 (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (sqrt (/ h3 (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ h3 (sqrt h4)) (pow (* h0 h1) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))))) (* (/ h3 (sqrt h4)) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ h3 (sqrt h4)) 1) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ 1 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ h3 h0))) (* h3 (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (- (+ (* h9 (* (* (pow h4 2) (pow (log (* h0 h1)) 2)) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log (* h0 h1))) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (* (log (* h0 h1)) (log h2))) (pow (* (pow h1 h3) (* (pow h0 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log (* h0 h1))) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (pow (log h2) 2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)) (- (+ (* h9 (* (pow h4 2) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (* h9 (* h4 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 3))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) h4)) (- (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 2)))))))) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) h4)) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (pow h4 2))) (- (* h9 (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))))))))) 0.786 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.802 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.864 * * [simplify]: iteration 2 : 5002 enodes (cost 1344 ) 0.870 * * * [progress]: adding candidates to table 1.483 * * [progress]: iteration 2 / 4 1.483 * * * [progress]: picking best candidate 1.511 * * * * [pick]: Picked # 1.511 * * * [progress]: localizing error 1.526 * * * [progress]: generating rewritten candidates 1.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.550 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.576 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.582 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.637 * * * [progress]: generating series expansions 1.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.638 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 1.638 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.638 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.638 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.638 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.638 * [taylor]: Taking taylor expansion of 0.25 in k 1.638 * [backup-simplify]: Simplify 0.25 into 0.25 1.638 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.638 * [taylor]: Taking taylor expansion of 1.0 in k 1.638 * [backup-simplify]: Simplify 1.0 into 1.0 1.638 * [taylor]: Taking taylor expansion of k in k 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.638 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.638 * [taylor]: Taking taylor expansion of 2.0 in k 1.638 * [backup-simplify]: Simplify 2.0 into 2.0 1.638 * [taylor]: Taking taylor expansion of (* n PI) in k 1.638 * [taylor]: Taking taylor expansion of n in k 1.638 * [backup-simplify]: Simplify n into n 1.638 * [taylor]: Taking taylor expansion of PI in k 1.638 * [backup-simplify]: Simplify PI into PI 1.638 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.639 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.639 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.639 * [backup-simplify]: Simplify (- 0) into 0 1.639 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.639 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.640 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.640 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.640 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.640 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.640 * [taylor]: Taking taylor expansion of 0.25 in n 1.640 * [backup-simplify]: Simplify 0.25 into 0.25 1.640 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.640 * [taylor]: Taking taylor expansion of 1.0 in n 1.640 * [backup-simplify]: Simplify 1.0 into 1.0 1.640 * [taylor]: Taking taylor expansion of k in n 1.640 * [backup-simplify]: Simplify k into k 1.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [backup-simplify]: Simplify 2.0 into 2.0 1.640 * [taylor]: Taking taylor expansion of (* n PI) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [taylor]: Taking taylor expansion of PI in n 1.640 * [backup-simplify]: Simplify PI into PI 1.640 * [backup-simplify]: Simplify (* 0 PI) into 0 1.641 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.641 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.642 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.643 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.643 * [backup-simplify]: Simplify (- k) into (- k) 1.643 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.643 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.645 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.645 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.645 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.645 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.645 * [taylor]: Taking taylor expansion of 0.25 in n 1.645 * [backup-simplify]: Simplify 0.25 into 0.25 1.645 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [backup-simplify]: Simplify 1.0 into 1.0 1.645 * [taylor]: Taking taylor expansion of k in n 1.646 * [backup-simplify]: Simplify k into k 1.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.646 * [taylor]: Taking taylor expansion of 2.0 in n 1.646 * [backup-simplify]: Simplify 2.0 into 2.0 1.646 * [taylor]: Taking taylor expansion of (* n PI) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of PI in n 1.646 * [backup-simplify]: Simplify PI into PI 1.646 * [backup-simplify]: Simplify (* 0 PI) into 0 1.646 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.648 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.648 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.649 * [backup-simplify]: Simplify (- k) into (- k) 1.649 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.649 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.650 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.651 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.651 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.651 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.651 * [taylor]: Taking taylor expansion of 0.25 in k 1.651 * [backup-simplify]: Simplify 0.25 into 0.25 1.651 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.651 * [taylor]: Taking taylor expansion of 1.0 in k 1.651 * [backup-simplify]: Simplify 1.0 into 1.0 1.651 * [taylor]: Taking taylor expansion of k in k 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.651 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.651 * [taylor]: Taking taylor expansion of 2.0 in k 1.651 * [backup-simplify]: Simplify 2.0 into 2.0 1.651 * [taylor]: Taking taylor expansion of PI in k 1.651 * [backup-simplify]: Simplify PI into PI 1.651 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.652 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.652 * [taylor]: Taking taylor expansion of (log n) in k 1.652 * [taylor]: Taking taylor expansion of n in k 1.652 * [backup-simplify]: Simplify n into n 1.652 * [backup-simplify]: Simplify (log n) into (log n) 1.652 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.653 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.654 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.655 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.655 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.656 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.656 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.658 * [backup-simplify]: Simplify (- 0) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.659 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.660 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.661 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.661 * [taylor]: Taking taylor expansion of 0 in k 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (- 1) into -1 1.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.666 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.668 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.670 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.673 * [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 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.675 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.677 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in k 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.679 * [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 1.680 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [backup-simplify]: Simplify (- 0) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.683 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.686 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.689 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.694 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.695 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 1.695 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.695 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.695 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.695 * [taylor]: Taking taylor expansion of 0.25 in k 1.695 * [backup-simplify]: Simplify 0.25 into 0.25 1.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.695 * [taylor]: Taking taylor expansion of 1.0 in k 1.695 * [backup-simplify]: Simplify 1.0 into 1.0 1.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.695 * [taylor]: Taking taylor expansion of 2.0 in k 1.695 * [backup-simplify]: Simplify 2.0 into 2.0 1.695 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.695 * [taylor]: Taking taylor expansion of PI in k 1.695 * [backup-simplify]: Simplify PI into PI 1.695 * [taylor]: Taking taylor expansion of n in k 1.695 * [backup-simplify]: Simplify n into n 1.696 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.696 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.696 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.696 * [backup-simplify]: Simplify (- 1) into -1 1.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.696 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.696 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.697 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.697 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.697 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.697 * [taylor]: Taking taylor expansion of 0.25 in n 1.697 * [backup-simplify]: Simplify 0.25 into 0.25 1.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.697 * [taylor]: Taking taylor expansion of 1.0 in n 1.697 * [backup-simplify]: Simplify 1.0 into 1.0 1.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.697 * [taylor]: Taking taylor expansion of k in n 1.697 * [backup-simplify]: Simplify k into k 1.697 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.697 * [taylor]: Taking taylor expansion of 2.0 in n 1.697 * [backup-simplify]: Simplify 2.0 into 2.0 1.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.697 * [taylor]: Taking taylor expansion of PI in n 1.697 * [backup-simplify]: Simplify PI into PI 1.697 * [taylor]: Taking taylor expansion of n in n 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (/ PI 1) into PI 1.698 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.703 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.703 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.703 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.703 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.705 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.706 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.706 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.706 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.706 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.706 * [taylor]: Taking taylor expansion of 0.25 in n 1.706 * [backup-simplify]: Simplify 0.25 into 0.25 1.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.706 * [taylor]: Taking taylor expansion of 1.0 in n 1.706 * [backup-simplify]: Simplify 1.0 into 1.0 1.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.706 * [taylor]: Taking taylor expansion of k in n 1.706 * [backup-simplify]: Simplify k into k 1.706 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.706 * [taylor]: Taking taylor expansion of 2.0 in n 1.706 * [backup-simplify]: Simplify 2.0 into 2.0 1.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [backup-simplify]: Simplify PI into PI 1.706 * [taylor]: Taking taylor expansion of n in n 1.706 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (/ PI 1) into PI 1.707 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.708 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.708 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.708 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.708 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.709 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.710 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.710 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.710 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.710 * [taylor]: Taking taylor expansion of 0.25 in k 1.710 * [backup-simplify]: Simplify 0.25 into 0.25 1.710 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.710 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.710 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.710 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.710 * [taylor]: Taking taylor expansion of 2.0 in k 1.710 * [backup-simplify]: Simplify 2.0 into 2.0 1.710 * [taylor]: Taking taylor expansion of PI in k 1.710 * [backup-simplify]: Simplify PI into PI 1.711 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.711 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.711 * [taylor]: Taking taylor expansion of (log n) in k 1.711 * [taylor]: Taking taylor expansion of n in k 1.711 * [backup-simplify]: Simplify n into n 1.711 * [backup-simplify]: Simplify (log n) into (log n) 1.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.711 * [taylor]: Taking taylor expansion of 1.0 in k 1.711 * [backup-simplify]: Simplify 1.0 into 1.0 1.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.712 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.713 * [backup-simplify]: Simplify (- 1) into -1 1.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.713 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.714 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.715 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.716 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.720 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.721 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.721 * [taylor]: Taking taylor expansion of 0 in k 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.724 * [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 1.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.724 * [backup-simplify]: Simplify (- 0) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.726 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.727 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.728 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in k 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.732 * [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 1.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.736 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.737 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.737 * [taylor]: Taking taylor expansion of 0 in k 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.738 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 1.739 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.739 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.739 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.739 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.739 * [taylor]: Taking taylor expansion of 0.25 in k 1.739 * [backup-simplify]: Simplify 0.25 into 0.25 1.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [taylor]: Taking taylor expansion of 1.0 in k 1.739 * [backup-simplify]: Simplify 1.0 into 1.0 1.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.739 * [taylor]: Taking taylor expansion of -2.0 in k 1.739 * [backup-simplify]: Simplify -2.0 into -2.0 1.739 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.739 * [taylor]: Taking taylor expansion of PI in k 1.739 * [backup-simplify]: Simplify PI into PI 1.739 * [taylor]: Taking taylor expansion of n in k 1.739 * [backup-simplify]: Simplify n into n 1.739 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.739 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.739 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.740 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.740 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.740 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.740 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.740 * [taylor]: Taking taylor expansion of 0.25 in n 1.740 * [backup-simplify]: Simplify 0.25 into 0.25 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.740 * [taylor]: Taking taylor expansion of k in n 1.740 * [backup-simplify]: Simplify k into k 1.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.740 * [taylor]: Taking taylor expansion of 1.0 in n 1.740 * [backup-simplify]: Simplify 1.0 into 1.0 1.740 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.740 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.740 * [taylor]: Taking taylor expansion of -2.0 in n 1.740 * [backup-simplify]: Simplify -2.0 into -2.0 1.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.740 * [backup-simplify]: Simplify PI into PI 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (/ PI 1) into PI 1.741 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.742 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.742 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.742 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.744 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.744 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.744 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.744 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.744 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.744 * [taylor]: Taking taylor expansion of 0.25 in n 1.744 * [backup-simplify]: Simplify 0.25 into 0.25 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.745 * [taylor]: Taking taylor expansion of k in n 1.745 * [backup-simplify]: Simplify k into k 1.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.745 * [taylor]: Taking taylor expansion of 1.0 in n 1.745 * [backup-simplify]: Simplify 1.0 into 1.0 1.745 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.745 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.745 * [taylor]: Taking taylor expansion of -2.0 in n 1.745 * [backup-simplify]: Simplify -2.0 into -2.0 1.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.745 * [taylor]: Taking taylor expansion of PI in n 1.745 * [backup-simplify]: Simplify PI into PI 1.745 * [taylor]: Taking taylor expansion of n in n 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.745 * [backup-simplify]: Simplify (/ PI 1) into PI 1.745 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.746 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.746 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.746 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.748 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.748 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.748 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.748 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.748 * [taylor]: Taking taylor expansion of 0.25 in k 1.748 * [backup-simplify]: Simplify 0.25 into 0.25 1.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.749 * [taylor]: Taking taylor expansion of k in k 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [taylor]: Taking taylor expansion of 1.0 in k 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.749 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.749 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.749 * [taylor]: Taking taylor expansion of -2.0 in k 1.749 * [backup-simplify]: Simplify -2.0 into -2.0 1.749 * [taylor]: Taking taylor expansion of PI in k 1.749 * [backup-simplify]: Simplify PI into PI 1.749 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.750 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.750 * [taylor]: Taking taylor expansion of (log n) in k 1.750 * [taylor]: Taking taylor expansion of n in k 1.750 * [backup-simplify]: Simplify n into n 1.750 * [backup-simplify]: Simplify (log n) into (log n) 1.750 * [backup-simplify]: Simplify (+ 1 0) into 1 1.750 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.751 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.751 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.752 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.753 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.753 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.757 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.759 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.759 * [taylor]: Taking taylor expansion of 0 in k 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.760 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.761 * [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 1.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.764 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.765 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.765 * [taylor]: Taking taylor expansion of 0 in k 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.769 * [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 1.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.772 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.774 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in k 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.775 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.775 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 1.775 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.775 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.775 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.775 * [taylor]: Taking taylor expansion of 0.25 in k 1.776 * [backup-simplify]: Simplify 0.25 into 0.25 1.776 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.776 * [taylor]: Taking taylor expansion of 1.0 in k 1.776 * [backup-simplify]: Simplify 1.0 into 1.0 1.776 * [taylor]: Taking taylor expansion of k in k 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.776 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.776 * [taylor]: Taking taylor expansion of 2.0 in k 1.776 * [backup-simplify]: Simplify 2.0 into 2.0 1.776 * [taylor]: Taking taylor expansion of (* n PI) in k 1.776 * [taylor]: Taking taylor expansion of n in k 1.776 * [backup-simplify]: Simplify n into n 1.776 * [taylor]: Taking taylor expansion of PI in k 1.776 * [backup-simplify]: Simplify PI into PI 1.776 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.776 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.776 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.776 * [backup-simplify]: Simplify (- 0) into 0 1.776 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.777 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.777 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.777 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.777 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.777 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.777 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.777 * [taylor]: Taking taylor expansion of 0.25 in n 1.777 * [backup-simplify]: Simplify 0.25 into 0.25 1.777 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.777 * [taylor]: Taking taylor expansion of 1.0 in n 1.777 * [backup-simplify]: Simplify 1.0 into 1.0 1.777 * [taylor]: Taking taylor expansion of k in n 1.777 * [backup-simplify]: Simplify k into k 1.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.777 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.777 * [taylor]: Taking taylor expansion of 2.0 in n 1.777 * [backup-simplify]: Simplify 2.0 into 2.0 1.777 * [taylor]: Taking taylor expansion of (* n PI) in n 1.777 * [taylor]: Taking taylor expansion of n in n 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [taylor]: Taking taylor expansion of PI in n 1.777 * [backup-simplify]: Simplify PI into PI 1.777 * [backup-simplify]: Simplify (* 0 PI) into 0 1.778 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.779 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.780 * [backup-simplify]: Simplify (- k) into (- k) 1.780 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.780 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.781 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.782 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.782 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.782 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.782 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.782 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.782 * [taylor]: Taking taylor expansion of 0.25 in n 1.782 * [backup-simplify]: Simplify 0.25 into 0.25 1.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.783 * [taylor]: Taking taylor expansion of 1.0 in n 1.783 * [backup-simplify]: Simplify 1.0 into 1.0 1.783 * [taylor]: Taking taylor expansion of k in n 1.783 * [backup-simplify]: Simplify k into k 1.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.783 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.783 * [taylor]: Taking taylor expansion of 2.0 in n 1.783 * [backup-simplify]: Simplify 2.0 into 2.0 1.783 * [taylor]: Taking taylor expansion of (* n PI) in n 1.783 * [taylor]: Taking taylor expansion of n in n 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [taylor]: Taking taylor expansion of PI in n 1.783 * [backup-simplify]: Simplify PI into PI 1.783 * [backup-simplify]: Simplify (* 0 PI) into 0 1.783 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.784 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.785 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.786 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.786 * [backup-simplify]: Simplify (- k) into (- k) 1.786 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.786 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.787 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.787 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.788 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.788 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.788 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.788 * [taylor]: Taking taylor expansion of 0.25 in k 1.788 * [backup-simplify]: Simplify 0.25 into 0.25 1.788 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.788 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.788 * [taylor]: Taking taylor expansion of 1.0 in k 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [taylor]: Taking taylor expansion of k in k 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.788 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.788 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.788 * [taylor]: Taking taylor expansion of 2.0 in k 1.788 * [backup-simplify]: Simplify 2.0 into 2.0 1.788 * [taylor]: Taking taylor expansion of PI in k 1.788 * [backup-simplify]: Simplify PI into PI 1.789 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.789 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.789 * [taylor]: Taking taylor expansion of (log n) in k 1.789 * [taylor]: Taking taylor expansion of n in k 1.789 * [backup-simplify]: Simplify n into n 1.789 * [backup-simplify]: Simplify (log n) into (log n) 1.789 * [backup-simplify]: Simplify (- 0) into 0 1.790 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.790 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.791 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.792 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.792 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.793 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.797 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.797 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.798 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.799 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.801 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.802 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.802 * [taylor]: Taking taylor expansion of 0 in k 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.804 * [backup-simplify]: Simplify (+ 0 0) into 0 1.804 * [backup-simplify]: Simplify (- 1) into -1 1.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.806 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.807 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.809 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.810 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.813 * [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 1.814 * [backup-simplify]: Simplify (- 0) into 0 1.814 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.816 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.817 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.817 * [taylor]: Taking taylor expansion of 0 in k 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.819 * [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 1.820 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (- 0) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.824 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.826 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.829 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 1.835 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 1.835 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 1.835 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.835 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.835 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.835 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.835 * [taylor]: Taking taylor expansion of 0.25 in k 1.835 * [backup-simplify]: Simplify 0.25 into 0.25 1.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.835 * [taylor]: Taking taylor expansion of 1.0 in k 1.835 * [backup-simplify]: Simplify 1.0 into 1.0 1.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.835 * [taylor]: Taking taylor expansion of k in k 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.836 * [taylor]: Taking taylor expansion of 2.0 in k 1.836 * [backup-simplify]: Simplify 2.0 into 2.0 1.836 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.836 * [taylor]: Taking taylor expansion of PI in k 1.836 * [backup-simplify]: Simplify PI into PI 1.836 * [taylor]: Taking taylor expansion of n in k 1.836 * [backup-simplify]: Simplify n into n 1.836 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.836 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.836 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.836 * [backup-simplify]: Simplify (- 1) into -1 1.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.837 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 1.837 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 1.837 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 1.837 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.837 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.837 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.837 * [taylor]: Taking taylor expansion of 0.25 in n 1.837 * [backup-simplify]: Simplify 0.25 into 0.25 1.837 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.837 * [taylor]: Taking taylor expansion of 1.0 in n 1.837 * [backup-simplify]: Simplify 1.0 into 1.0 1.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.837 * [taylor]: Taking taylor expansion of k in n 1.837 * [backup-simplify]: Simplify k into k 1.837 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.837 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.837 * [taylor]: Taking taylor expansion of 2.0 in n 1.837 * [backup-simplify]: Simplify 2.0 into 2.0 1.837 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.837 * [taylor]: Taking taylor expansion of PI in n 1.837 * [backup-simplify]: Simplify PI into PI 1.837 * [taylor]: Taking taylor expansion of n in n 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (/ PI 1) into PI 1.838 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.838 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.839 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.839 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.839 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.840 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.841 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.841 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.841 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.841 * [taylor]: Taking taylor expansion of 0.25 in n 1.841 * [backup-simplify]: Simplify 0.25 into 0.25 1.841 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.841 * [taylor]: Taking taylor expansion of 1.0 in n 1.841 * [backup-simplify]: Simplify 1.0 into 1.0 1.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.841 * [taylor]: Taking taylor expansion of k in n 1.841 * [backup-simplify]: Simplify k into k 1.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.841 * [taylor]: Taking taylor expansion of 2.0 in n 1.841 * [backup-simplify]: Simplify 2.0 into 2.0 1.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.841 * [backup-simplify]: Simplify PI into PI 1.841 * [taylor]: Taking taylor expansion of n in n 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ PI 1) into PI 1.842 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.842 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.842 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.843 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.843 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 1.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.844 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 1.845 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.845 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.845 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.845 * [taylor]: Taking taylor expansion of 0.25 in k 1.845 * [backup-simplify]: Simplify 0.25 into 0.25 1.845 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.845 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.845 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.845 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.845 * [taylor]: Taking taylor expansion of 2.0 in k 1.845 * [backup-simplify]: Simplify 2.0 into 2.0 1.845 * [taylor]: Taking taylor expansion of PI in k 1.845 * [backup-simplify]: Simplify PI into PI 1.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.846 * [taylor]: Taking taylor expansion of (log n) in k 1.846 * [taylor]: Taking taylor expansion of n in k 1.846 * [backup-simplify]: Simplify n into n 1.846 * [backup-simplify]: Simplify (log n) into (log n) 1.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [backup-simplify]: Simplify 1.0 into 1.0 1.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.846 * [taylor]: Taking taylor expansion of k in k 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (/ 1 1) into 1 1.846 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.847 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.847 * [backup-simplify]: Simplify (- 1) into -1 1.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.848 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.849 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 1.849 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.850 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 1.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.852 * [backup-simplify]: Simplify (- 0) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.854 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.856 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.856 * [taylor]: Taking taylor expansion of 0 in k 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.858 * [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 1.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.859 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify (+ 0 0) into 0 1.859 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.861 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.862 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.862 * [taylor]: Taking taylor expansion of 0 in k 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.867 * [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 1.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.867 * [backup-simplify]: Simplify (- 0) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.870 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.871 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.871 * [taylor]: Taking taylor expansion of 0 in k 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 1.873 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 1.873 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.873 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.873 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.873 * [taylor]: Taking taylor expansion of 0.25 in k 1.873 * [backup-simplify]: Simplify 0.25 into 0.25 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [taylor]: Taking taylor expansion of 1.0 in k 1.873 * [backup-simplify]: Simplify 1.0 into 1.0 1.873 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.873 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.873 * [taylor]: Taking taylor expansion of -2.0 in k 1.873 * [backup-simplify]: Simplify -2.0 into -2.0 1.873 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.873 * [taylor]: Taking taylor expansion of PI in k 1.873 * [backup-simplify]: Simplify PI into PI 1.873 * [taylor]: Taking taylor expansion of n in k 1.873 * [backup-simplify]: Simplify n into n 1.873 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.873 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.873 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.874 * [backup-simplify]: Simplify (+ 1 0) into 1 1.874 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.874 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 1.874 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 1.874 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.874 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.874 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.874 * [taylor]: Taking taylor expansion of 0.25 in n 1.874 * [backup-simplify]: Simplify 0.25 into 0.25 1.874 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.874 * [taylor]: Taking taylor expansion of k in n 1.874 * [backup-simplify]: Simplify k into k 1.874 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.874 * [taylor]: Taking taylor expansion of 1.0 in n 1.874 * [backup-simplify]: Simplify 1.0 into 1.0 1.874 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.874 * [taylor]: Taking taylor expansion of -2.0 in n 1.874 * [backup-simplify]: Simplify -2.0 into -2.0 1.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [backup-simplify]: Simplify PI into PI 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ PI 1) into PI 1.875 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.876 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.876 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.876 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.877 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.877 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.878 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.878 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.878 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.878 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.878 * [taylor]: Taking taylor expansion of 0.25 in n 1.878 * [backup-simplify]: Simplify 0.25 into 0.25 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.878 * [taylor]: Taking taylor expansion of k in n 1.878 * [backup-simplify]: Simplify k into k 1.878 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [backup-simplify]: Simplify 1.0 into 1.0 1.878 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of -2.0 in n 1.878 * [backup-simplify]: Simplify -2.0 into -2.0 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.878 * [backup-simplify]: Simplify PI into PI 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ PI 1) into PI 1.879 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.880 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.880 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.880 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 1.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.881 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 1.882 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.882 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.882 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.882 * [taylor]: Taking taylor expansion of 0.25 in k 1.882 * [backup-simplify]: Simplify 0.25 into 0.25 1.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.882 * [taylor]: Taking taylor expansion of k in k 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of 1.0 in k 1.883 * [backup-simplify]: Simplify 1.0 into 1.0 1.883 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.883 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.883 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.883 * [taylor]: Taking taylor expansion of -2.0 in k 1.883 * [backup-simplify]: Simplify -2.0 into -2.0 1.883 * [taylor]: Taking taylor expansion of PI in k 1.883 * [backup-simplify]: Simplify PI into PI 1.883 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.884 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.884 * [taylor]: Taking taylor expansion of (log n) in k 1.884 * [taylor]: Taking taylor expansion of n in k 1.884 * [backup-simplify]: Simplify n into n 1.884 * [backup-simplify]: Simplify (log n) into (log n) 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.888 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.889 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 1.889 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 1.890 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.891 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 1.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.893 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.895 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.896 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.896 * [taylor]: Taking taylor expansion of 0 in k 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.899 * [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 1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.902 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.903 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.903 * [taylor]: Taking taylor expansion of 0 in k 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.907 * [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 1.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.910 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.912 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.912 * [taylor]: Taking taylor expansion of 0 in k 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.912 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.913 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.913 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.913 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.913 * [taylor]: Taking taylor expansion of 1.0 in k 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.913 * [taylor]: Taking taylor expansion of k in k 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [backup-simplify]: Simplify (sqrt 0) into 0 1.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.914 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.914 * [taylor]: Taking taylor expansion of 1.0 in k 1.914 * [backup-simplify]: Simplify 1.0 into 1.0 1.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.914 * [taylor]: Taking taylor expansion of k in k 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.915 * [backup-simplify]: Simplify (sqrt 0) into 0 1.915 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.916 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.917 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.920 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.920 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.924 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.924 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.925 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.925 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.925 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.925 * [taylor]: Taking taylor expansion of 1.0 in k 1.925 * [backup-simplify]: Simplify 1.0 into 1.0 1.925 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.925 * [taylor]: Taking taylor expansion of k in k 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (sqrt 0) into 0 1.926 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.926 * [taylor]: Taking taylor expansion of 1.0 in k 1.926 * [backup-simplify]: Simplify 1.0 into 1.0 1.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.926 * [taylor]: Taking taylor expansion of k in k 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (sqrt 0) into 0 1.927 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.927 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.928 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.930 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.931 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.932 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.935 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.936 * [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)))))))) 1.936 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.936 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.936 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.936 * [taylor]: Taking taylor expansion of 1.0 in k 1.936 * [backup-simplify]: Simplify 1.0 into 1.0 1.936 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.936 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.936 * [taylor]: Taking taylor expansion of -1 in k 1.936 * [backup-simplify]: Simplify -1 into -1 1.936 * [taylor]: Taking taylor expansion of k in k 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (/ -1 1) into -1 1.937 * [backup-simplify]: Simplify (sqrt 0) into 0 1.937 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.938 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.938 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.938 * [taylor]: Taking taylor expansion of 1.0 in k 1.938 * [backup-simplify]: Simplify 1.0 into 1.0 1.938 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.938 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.938 * [taylor]: Taking taylor expansion of -1 in k 1.938 * [backup-simplify]: Simplify -1 into -1 1.938 * [taylor]: Taking taylor expansion of k in k 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ -1 1) into -1 1.938 * [backup-simplify]: Simplify (sqrt 0) into 0 1.939 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.939 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.939 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.943 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.943 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.948 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.948 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.949 * [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))))) 1.949 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.950 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) into (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) 1.950 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.950 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.950 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.950 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.950 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.950 * [taylor]: Taking taylor expansion of 0.25 in k 1.950 * [backup-simplify]: Simplify 0.25 into 0.25 1.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.950 * [taylor]: Taking taylor expansion of 1.0 in k 1.950 * [backup-simplify]: Simplify 1.0 into 1.0 1.950 * [taylor]: Taking taylor expansion of k in k 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.950 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.950 * [taylor]: Taking taylor expansion of 2.0 in k 1.950 * [backup-simplify]: Simplify 2.0 into 2.0 1.950 * [taylor]: Taking taylor expansion of (* n PI) in k 1.950 * [taylor]: Taking taylor expansion of n in k 1.950 * [backup-simplify]: Simplify n into n 1.950 * [taylor]: Taking taylor expansion of PI in k 1.950 * [backup-simplify]: Simplify PI into PI 1.950 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.950 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.950 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.951 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 1.951 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 1.951 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 1.951 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.951 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.951 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.951 * [taylor]: Taking taylor expansion of 0.25 in n 1.951 * [backup-simplify]: Simplify 0.25 into 0.25 1.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.951 * [taylor]: Taking taylor expansion of 1.0 in n 1.951 * [backup-simplify]: Simplify 1.0 into 1.0 1.951 * [taylor]: Taking taylor expansion of k in n 1.951 * [backup-simplify]: Simplify k into k 1.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.951 * [taylor]: Taking taylor expansion of 2.0 in n 1.951 * [backup-simplify]: Simplify 2.0 into 2.0 1.951 * [taylor]: Taking taylor expansion of (* n PI) in n 1.951 * [taylor]: Taking taylor expansion of n in n 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of PI in n 1.951 * [backup-simplify]: Simplify PI into PI 1.952 * [backup-simplify]: Simplify (* 0 PI) into 0 1.952 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.954 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.954 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.954 * [backup-simplify]: Simplify (- k) into (- k) 1.954 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.954 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.955 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.956 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.956 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.956 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.956 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.957 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.957 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.957 * [taylor]: Taking taylor expansion of 0.25 in n 1.957 * [backup-simplify]: Simplify 0.25 into 0.25 1.957 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.957 * [taylor]: Taking taylor expansion of 1.0 in n 1.957 * [backup-simplify]: Simplify 1.0 into 1.0 1.957 * [taylor]: Taking taylor expansion of k in n 1.957 * [backup-simplify]: Simplify k into k 1.957 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.957 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.957 * [taylor]: Taking taylor expansion of 2.0 in n 1.957 * [backup-simplify]: Simplify 2.0 into 2.0 1.957 * [taylor]: Taking taylor expansion of (* n PI) in n 1.957 * [taylor]: Taking taylor expansion of n in n 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of PI in n 1.957 * [backup-simplify]: Simplify PI into PI 1.957 * [backup-simplify]: Simplify (* 0 PI) into 0 1.957 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.959 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.960 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.960 * [backup-simplify]: Simplify (- k) into (- k) 1.960 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.960 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 1.961 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.961 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.962 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.963 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) 1.963 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.963 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.963 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.963 * [taylor]: Taking taylor expansion of 0.25 in k 1.963 * [backup-simplify]: Simplify 0.25 into 0.25 1.963 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.963 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.963 * [taylor]: Taking taylor expansion of 1.0 in k 1.963 * [backup-simplify]: Simplify 1.0 into 1.0 1.963 * [taylor]: Taking taylor expansion of k in k 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.964 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.964 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.964 * [taylor]: Taking taylor expansion of 2.0 in k 1.964 * [backup-simplify]: Simplify 2.0 into 2.0 1.964 * [taylor]: Taking taylor expansion of PI in k 1.964 * [backup-simplify]: Simplify PI into PI 1.964 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.965 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.965 * [taylor]: Taking taylor expansion of (log n) in k 1.965 * [taylor]: Taking taylor expansion of n in k 1.965 * [backup-simplify]: Simplify n into n 1.965 * [backup-simplify]: Simplify (log n) into (log n) 1.965 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.966 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.966 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.967 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 1.968 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 1.969 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) 1.970 * [backup-simplify]: Simplify (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) into (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) 1.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 1.973 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.974 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.979 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) into 0 1.980 * [taylor]: Taking taylor expansion of 0 in k 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.982 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (- 1) into -1 1.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.984 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.985 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1.987 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) 1.992 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) 1.995 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) into (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) 1.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.998 * [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 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.000 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.002 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))) into 0 2.003 * [taylor]: Taking taylor expansion of 0 in k 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.005 * [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 2.006 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (- 0) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.012 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 2.023 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (+ (* (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* -1 (* (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* (* (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.03125 (pow (log n) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) 2.027 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) 2.035 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (* 0.125 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 0.5 (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))) (* 0.5 (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))))) (* k 1)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) into (- (+ (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.5 (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) 2.036 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) 2.036 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 2.036 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 2.036 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.036 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.036 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.036 * [taylor]: Taking taylor expansion of 0.25 in k 2.036 * [backup-simplify]: Simplify 0.25 into 0.25 2.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.036 * [taylor]: Taking taylor expansion of 1.0 in k 2.036 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.036 * [taylor]: Taking taylor expansion of k in k 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.036 * [taylor]: Taking taylor expansion of 2.0 in k 2.036 * [backup-simplify]: Simplify 2.0 into 2.0 2.036 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.036 * [taylor]: Taking taylor expansion of PI in k 2.036 * [backup-simplify]: Simplify PI into PI 2.036 * [taylor]: Taking taylor expansion of n in k 2.036 * [backup-simplify]: Simplify n into n 2.036 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.037 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.037 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.037 * [backup-simplify]: Simplify (- 1) into -1 2.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.037 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 2.037 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 2.037 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 2.038 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 2.038 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.038 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.038 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.038 * [taylor]: Taking taylor expansion of 0.25 in n 2.038 * [backup-simplify]: Simplify 0.25 into 0.25 2.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.038 * [taylor]: Taking taylor expansion of 1.0 in n 2.038 * [backup-simplify]: Simplify 1.0 into 1.0 2.038 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.038 * [taylor]: Taking taylor expansion of k in n 2.038 * [backup-simplify]: Simplify k into k 2.038 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.038 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.038 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.038 * [taylor]: Taking taylor expansion of 2.0 in n 2.038 * [backup-simplify]: Simplify 2.0 into 2.0 2.038 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.038 * [taylor]: Taking taylor expansion of PI in n 2.038 * [backup-simplify]: Simplify PI into PI 2.038 * [taylor]: Taking taylor expansion of n in n 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (/ PI 1) into PI 2.038 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.039 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.039 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.039 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.039 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 2.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.041 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.041 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.042 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 2.042 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.042 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.042 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.042 * [taylor]: Taking taylor expansion of 0.25 in n 2.042 * [backup-simplify]: Simplify 0.25 into 0.25 2.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.042 * [taylor]: Taking taylor expansion of 1.0 in n 2.042 * [backup-simplify]: Simplify 1.0 into 1.0 2.042 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.042 * [taylor]: Taking taylor expansion of k in n 2.042 * [backup-simplify]: Simplify k into k 2.042 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.042 * [taylor]: Taking taylor expansion of 2.0 in n 2.042 * [backup-simplify]: Simplify 2.0 into 2.0 2.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.042 * [taylor]: Taking taylor expansion of PI in n 2.042 * [backup-simplify]: Simplify PI into PI 2.042 * [taylor]: Taking taylor expansion of n in n 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ PI 1) into PI 2.042 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.043 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.043 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.043 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.043 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 2.044 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.045 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 2.046 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.047 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 2.047 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 2.047 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.047 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.047 * [taylor]: Taking taylor expansion of 0.25 in k 2.047 * [backup-simplify]: Simplify 0.25 into 0.25 2.047 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.047 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.047 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.047 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.047 * [taylor]: Taking taylor expansion of 2.0 in k 2.047 * [backup-simplify]: Simplify 2.0 into 2.0 2.047 * [taylor]: Taking taylor expansion of PI in k 2.047 * [backup-simplify]: Simplify PI into PI 2.048 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.048 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.048 * [taylor]: Taking taylor expansion of (log n) in k 2.048 * [taylor]: Taking taylor expansion of n in k 2.048 * [backup-simplify]: Simplify n into n 2.048 * [backup-simplify]: Simplify (log n) into (log n) 2.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.048 * [taylor]: Taking taylor expansion of 1.0 in k 2.048 * [backup-simplify]: Simplify 1.0 into 1.0 2.048 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.048 * [taylor]: Taking taylor expansion of k in k 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.049 * [backup-simplify]: Simplify (/ 1 1) into 1 2.049 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.049 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.050 * [backup-simplify]: Simplify (- 1) into -1 2.050 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.050 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.051 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 2.052 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2.053 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 2.054 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.058 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.059 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.061 * [taylor]: Taking taylor expansion of 0 in k 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.065 * [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 2.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.065 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.071 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.072 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 2.074 * [taylor]: Taking taylor expansion of 0 in k 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.080 * [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 2.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.080 * [backup-simplify]: Simplify (- 0) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.083 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.085 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 2.087 * [taylor]: Taking taylor expansion of 0 in k 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) 2) into (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) 2.088 * [backup-simplify]: Simplify (* (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) 2.088 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 2.088 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 2.088 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.089 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.089 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.089 * [taylor]: Taking taylor expansion of 0.25 in k 2.089 * [backup-simplify]: Simplify 0.25 into 0.25 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.089 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.089 * [taylor]: Taking taylor expansion of k in k 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of 1.0 in k 2.089 * [backup-simplify]: Simplify 1.0 into 1.0 2.089 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.089 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.089 * [taylor]: Taking taylor expansion of -2.0 in k 2.089 * [backup-simplify]: Simplify -2.0 into -2.0 2.089 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.089 * [taylor]: Taking taylor expansion of PI in k 2.089 * [backup-simplify]: Simplify PI into PI 2.089 * [taylor]: Taking taylor expansion of n in k 2.089 * [backup-simplify]: Simplify n into n 2.089 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.089 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.089 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.090 * [backup-simplify]: Simplify (+ 1 0) into 1 2.090 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 2.090 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 2.090 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 2.090 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 2.090 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.090 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.090 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.090 * [taylor]: Taking taylor expansion of 0.25 in n 2.090 * [backup-simplify]: Simplify 0.25 into 0.25 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.090 * [taylor]: Taking taylor expansion of k in n 2.090 * [backup-simplify]: Simplify k into k 2.090 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.090 * [taylor]: Taking taylor expansion of 1.0 in n 2.090 * [backup-simplify]: Simplify 1.0 into 1.0 2.090 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.090 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.090 * [taylor]: Taking taylor expansion of -2.0 in n 2.090 * [backup-simplify]: Simplify -2.0 into -2.0 2.090 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.090 * [taylor]: Taking taylor expansion of PI in n 2.090 * [backup-simplify]: Simplify PI into PI 2.090 * [taylor]: Taking taylor expansion of n in n 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (/ PI 1) into PI 2.091 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.092 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.092 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.092 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 2.093 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.093 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.094 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.094 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 2.094 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.094 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.094 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.094 * [taylor]: Taking taylor expansion of 0.25 in n 2.094 * [backup-simplify]: Simplify 0.25 into 0.25 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.094 * [taylor]: Taking taylor expansion of k in n 2.094 * [backup-simplify]: Simplify k into k 2.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.094 * [taylor]: Taking taylor expansion of 1.0 in n 2.095 * [backup-simplify]: Simplify 1.0 into 1.0 2.095 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.095 * [taylor]: Taking taylor expansion of -2.0 in n 2.095 * [backup-simplify]: Simplify -2.0 into -2.0 2.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.095 * [taylor]: Taking taylor expansion of PI in n 2.095 * [backup-simplify]: Simplify PI into PI 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (/ PI 1) into PI 2.095 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.096 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.096 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.096 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 2.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.097 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 2.098 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.100 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 2.100 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 2.100 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.100 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.100 * [taylor]: Taking taylor expansion of 0.25 in k 2.100 * [backup-simplify]: Simplify 0.25 into 0.25 2.100 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.100 * [taylor]: Taking taylor expansion of k in k 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (/ 1 1) into 1 2.100 * [taylor]: Taking taylor expansion of 1.0 in k 2.100 * [backup-simplify]: Simplify 1.0 into 1.0 2.100 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.100 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.100 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.100 * [taylor]: Taking taylor expansion of -2.0 in k 2.100 * [backup-simplify]: Simplify -2.0 into -2.0 2.100 * [taylor]: Taking taylor expansion of PI in k 2.100 * [backup-simplify]: Simplify PI into PI 2.100 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.101 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.101 * [taylor]: Taking taylor expansion of (log n) in k 2.101 * [taylor]: Taking taylor expansion of n in k 2.101 * [backup-simplify]: Simplify n into n 2.101 * [backup-simplify]: Simplify (log n) into (log n) 2.101 * [backup-simplify]: Simplify (+ 1 0) into 1 2.101 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.102 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.103 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 2.103 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 2.104 * [backup-simplify]: Simplify (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2.105 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 2.106 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) into (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) 2.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.110 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.112 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.113 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.113 * [taylor]: Taking taylor expansion of 0 in k 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.117 * [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 2.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.120 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.121 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into 0 2.123 * [taylor]: Taking taylor expansion of 0 in k 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into 0 2.124 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.128 * [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 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.132 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.133 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into 0 2.135 * [taylor]: Taking taylor expansion of 0 in k 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) 2.136 * * * [progress]: simplifying candidates 2.140 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) 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(sqrt (sqrt h4))) (/ (sqrt h3) 1) (/ (sqrt h3) (sqrt h4)) (/ 1 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (cbrt (sqrt h4))) (/ 1 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (cbrt h4))) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt 1)) (/ h3 (sqrt h4)) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 1) (/ h3 (sqrt h4)) (/ 1 (sqrt h4)) (/ (sqrt h4) h3) (/ h3 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (sqrt h4))) (/ h3 (sqrt 1)) (/ h3 (sqrt (sqrt h4))) (/ h3 1) (/ (sqrt h4) (cbrt h3)) (/ (sqrt h4) (sqrt h3)) (/ (sqrt h4) h3) (+ (/ (/ (- h3 h4) h0) 2) (/ (/ (- h3 h4) h0) 2)) (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (log (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (exp (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (cbrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (cbrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))))) (cbrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (sqrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (sqrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ h4 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h4 h0) 2))) (* (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2)) (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2))) (* (pow h2 (/ (/ (- h3 h4) h0) 2)) (pow h2 (/ (/ (- h3 h4) h0) 2))) (* (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* 1 1) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* 2 (/ (/ (- h3 h4) h0) 2)) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) 1) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow h2 (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (- (+ (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (+ (* h6 (* (pow h4 2) (* (log (* h0 h1)) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2))))) (+ (* h10 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h10 (* (pow h4 2) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (pow (log h2) 2))))))) (+ (* h11 (* h4 (* (log (* h0 h1)) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h11 (* h4 (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2)))))) (pow (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) 2) (pow (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) 2) 2.154 * * [simplify]: iteration 0 : 971 enodes (cost 2554 ) 2.169 * * [simplify]: iteration 1 : 3864 enodes (cost 2347 ) 2.227 * * [simplify]: iteration 2 : 5001 enodes (cost 2312 ) 2.242 * * * [progress]: adding candidates to table 3.011 * * [progress]: iteration 3 / 4 3.011 * * * [progress]: picking best candidate 3.034 * * * * [pick]: Picked # 3.034 * * * [progress]: localizing error 3.049 * * * [progress]: generating rewritten candidates 3.049 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.109 * * * [progress]: generating series expansions 3.109 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.109 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 3.109 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 3.109 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.109 * [taylor]: Taking taylor expansion of 0.5 in k 3.109 * [backup-simplify]: Simplify 0.5 into 0.5 3.109 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.109 * [taylor]: Taking taylor expansion of 1.0 in k 3.109 * [backup-simplify]: Simplify 1.0 into 1.0 3.110 * [taylor]: Taking taylor expansion of k in k 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 1 into 1 3.110 * [taylor]: Taking taylor expansion of (log n) in k 3.110 * [taylor]: Taking taylor expansion of n in k 3.110 * [backup-simplify]: Simplify n into n 3.110 * [backup-simplify]: Simplify (log n) into (log n) 3.110 * [backup-simplify]: Simplify (- 0) into 0 3.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.111 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.111 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 3.111 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 3.111 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.111 * [taylor]: Taking taylor expansion of 0.5 in n 3.111 * [backup-simplify]: Simplify 0.5 into 0.5 3.111 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.111 * [taylor]: Taking taylor expansion of 1.0 in n 3.111 * [backup-simplify]: Simplify 1.0 into 1.0 3.111 * [taylor]: Taking taylor expansion of k in n 3.111 * [backup-simplify]: Simplify k into k 3.111 * [taylor]: Taking taylor expansion of (log n) in n 3.111 * [taylor]: Taking taylor expansion of n in n 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (log 1) into 0 3.111 * [backup-simplify]: Simplify (- k) into (- k) 3.111 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.111 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.112 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.112 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 3.112 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 3.112 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.112 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.112 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.112 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.112 * [taylor]: Taking taylor expansion of 0.5 in n 3.112 * [backup-simplify]: Simplify 0.5 into 0.5 3.112 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.112 * [taylor]: Taking taylor expansion of 1.0 in n 3.112 * [backup-simplify]: Simplify 1.0 into 1.0 3.112 * [taylor]: Taking taylor expansion of k in n 3.112 * [backup-simplify]: Simplify k into k 3.112 * [taylor]: Taking taylor expansion of (log n) in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (log 1) into 0 3.112 * [backup-simplify]: Simplify (- k) into (- k) 3.112 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.112 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.113 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.113 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 3.113 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 3.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 3.113 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 3.113 * [taylor]: Taking taylor expansion of 0.5 in k 3.113 * [backup-simplify]: Simplify 0.5 into 0.5 3.113 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.113 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.113 * [taylor]: Taking taylor expansion of 1.0 in k 3.113 * [backup-simplify]: Simplify 1.0 into 1.0 3.113 * [taylor]: Taking taylor expansion of k in k 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [taylor]: Taking taylor expansion of (log n) in k 3.113 * [taylor]: Taking taylor expansion of n in k 3.113 * [backup-simplify]: Simplify n into n 3.113 * [backup-simplify]: Simplify (log n) into (log n) 3.113 * [backup-simplify]: Simplify (- 0) into 0 3.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.114 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.114 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 3.114 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 3.114 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 3.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.115 * [backup-simplify]: Simplify (- 0) into 0 3.115 * [backup-simplify]: Simplify (+ 0 0) into 0 3.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.116 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.116 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 3.116 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.116 * [taylor]: Taking taylor expansion of 0 in k 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.117 * [backup-simplify]: Simplify (- 1) into -1 3.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.118 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 3.118 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 3.118 * [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))) 3.118 * [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))) 3.120 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.120 * [backup-simplify]: Simplify (- 0) into 0 3.120 * [backup-simplify]: Simplify (+ 0 0) into 0 3.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.121 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.121 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 3.122 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.122 * [taylor]: Taking taylor expansion of 0 in k 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 0 into 0 3.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.123 * [backup-simplify]: Simplify (- 0) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 3.125 * [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))) 3.125 * [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))) 3.126 * [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)))) 3.126 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 3.126 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.126 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.126 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.126 * [taylor]: Taking taylor expansion of 0.5 in k 3.126 * [backup-simplify]: Simplify 0.5 into 0.5 3.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.126 * [taylor]: Taking taylor expansion of 1.0 in k 3.126 * [backup-simplify]: Simplify 1.0 into 1.0 3.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.126 * [taylor]: Taking taylor expansion of k in k 3.126 * [backup-simplify]: Simplify 0 into 0 3.126 * [backup-simplify]: Simplify 1 into 1 3.126 * [backup-simplify]: Simplify (/ 1 1) into 1 3.126 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.126 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.126 * [taylor]: Taking taylor expansion of n in k 3.126 * [backup-simplify]: Simplify n into n 3.127 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 3.127 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 3.127 * [backup-simplify]: Simplify (- 1) into -1 3.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.127 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.127 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 3.127 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 3.127 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.128 * [taylor]: Taking taylor expansion of 0.5 in n 3.128 * [backup-simplify]: Simplify 0.5 into 0.5 3.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.128 * [taylor]: Taking taylor expansion of 1.0 in n 3.128 * [backup-simplify]: Simplify 1.0 into 1.0 3.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.128 * [taylor]: Taking taylor expansion of k in n 3.128 * [backup-simplify]: Simplify k into k 3.128 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.128 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.128 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 1 into 1 3.128 * [backup-simplify]: Simplify (/ 1 1) into 1 3.128 * [backup-simplify]: Simplify (log 1) into 0 3.128 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.128 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.128 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.129 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.129 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 3.129 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.129 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.129 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.129 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.129 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.129 * [taylor]: Taking taylor expansion of 0.5 in n 3.129 * [backup-simplify]: Simplify 0.5 into 0.5 3.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.129 * [taylor]: Taking taylor expansion of 1.0 in n 3.129 * [backup-simplify]: Simplify 1.0 into 1.0 3.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.129 * [taylor]: Taking taylor expansion of k in n 3.129 * [backup-simplify]: Simplify k into k 3.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.129 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.129 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.129 * [taylor]: Taking taylor expansion of n in n 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 1 into 1 3.129 * [backup-simplify]: Simplify (/ 1 1) into 1 3.130 * [backup-simplify]: Simplify (log 1) into 0 3.130 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.130 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.130 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.130 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 3.130 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.130 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 3.130 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 3.130 * [taylor]: Taking taylor expansion of -0.5 in k 3.130 * [backup-simplify]: Simplify -0.5 into -0.5 3.130 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.130 * [taylor]: Taking taylor expansion of (log n) in k 3.130 * [taylor]: Taking taylor expansion of n in k 3.131 * [backup-simplify]: Simplify n into n 3.131 * [backup-simplify]: Simplify (log n) into (log n) 3.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.131 * [taylor]: Taking taylor expansion of 1.0 in k 3.131 * [backup-simplify]: Simplify 1.0 into 1.0 3.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.131 * [taylor]: Taking taylor expansion of k in k 3.131 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify 1 into 1 3.131 * [backup-simplify]: Simplify (/ 1 1) into 1 3.131 * [backup-simplify]: Simplify (- 1) into -1 3.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.131 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 3.131 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 3.132 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.132 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.133 * [backup-simplify]: Simplify (- 0) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.134 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 3.135 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.135 * [taylor]: Taking taylor expansion of 0 in k 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify (+ 0 0) into 0 3.138 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.138 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 3.139 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.139 * [taylor]: Taking taylor expansion of 0 in k 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.142 * [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 3.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.147 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 3.147 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 3.148 * [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 3.148 * [taylor]: Taking taylor expansion of 0 in k 3.148 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 3.149 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 3.149 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.149 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.149 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.149 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.149 * [taylor]: Taking taylor expansion of 0.5 in k 3.149 * [backup-simplify]: Simplify 0.5 into 0.5 3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.149 * [taylor]: Taking taylor expansion of k in k 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (/ 1 1) into 1 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [backup-simplify]: Simplify 1.0 into 1.0 3.149 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.149 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.149 * [taylor]: Taking taylor expansion of -1 in k 3.149 * [backup-simplify]: Simplify -1 into -1 3.149 * [taylor]: Taking taylor expansion of n in k 3.149 * [backup-simplify]: Simplify n into n 3.149 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 3.150 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 3.150 * [backup-simplify]: Simplify (+ 1 0) into 1 3.150 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.150 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 3.150 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 3.150 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.150 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.150 * [taylor]: Taking taylor expansion of 0.5 in n 3.150 * [backup-simplify]: Simplify 0.5 into 0.5 3.150 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.150 * [taylor]: Taking taylor expansion of k in n 3.150 * [backup-simplify]: Simplify k into k 3.150 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.150 * [taylor]: Taking taylor expansion of 1.0 in n 3.150 * [backup-simplify]: Simplify 1.0 into 1.0 3.151 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.151 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.151 * [taylor]: Taking taylor expansion of -1 in n 3.151 * [backup-simplify]: Simplify -1 into -1 3.151 * [taylor]: Taking taylor expansion of n in n 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 1 into 1 3.151 * [backup-simplify]: Simplify (/ -1 1) into -1 3.151 * [backup-simplify]: Simplify (log -1) into (log -1) 3.151 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.151 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.152 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 3.153 * [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)))) 3.153 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.153 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.153 * [taylor]: Taking taylor expansion of 0.5 in n 3.153 * [backup-simplify]: Simplify 0.5 into 0.5 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.153 * [taylor]: Taking taylor expansion of k in n 3.153 * [backup-simplify]: Simplify k into k 3.153 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.153 * [taylor]: Taking taylor expansion of 1.0 in n 3.153 * [backup-simplify]: Simplify 1.0 into 1.0 3.153 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.153 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.153 * [taylor]: Taking taylor expansion of -1 in n 3.153 * [backup-simplify]: Simplify -1 into -1 3.153 * [taylor]: Taking taylor expansion of n in n 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (/ -1 1) into -1 3.153 * [backup-simplify]: Simplify (log -1) into (log -1) 3.154 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.154 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.154 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.154 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 3.155 * [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)))) 3.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.155 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.155 * [taylor]: Taking taylor expansion of 0.5 in k 3.155 * [backup-simplify]: Simplify 0.5 into 0.5 3.155 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.155 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.155 * [taylor]: Taking taylor expansion of (log -1) in k 3.155 * [taylor]: Taking taylor expansion of -1 in k 3.155 * [backup-simplify]: Simplify -1 into -1 3.155 * [backup-simplify]: Simplify (log -1) into (log -1) 3.155 * [taylor]: Taking taylor expansion of (log n) in k 3.155 * [taylor]: Taking taylor expansion of n in k 3.155 * [backup-simplify]: Simplify n into n 3.155 * [backup-simplify]: Simplify (log n) into (log n) 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.155 * [taylor]: Taking taylor expansion of k in k 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (/ 1 1) into 1 3.156 * [taylor]: Taking taylor expansion of 1.0 in k 3.156 * [backup-simplify]: Simplify 1.0 into 1.0 3.156 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.156 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.157 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 3.157 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 3.157 * [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)))) 3.157 * [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)))) 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 3.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.159 * [backup-simplify]: Simplify (+ 0 0) into 0 3.159 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.160 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.160 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 3.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.161 * [taylor]: Taking taylor expansion of 0 in k 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.164 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.164 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.165 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 3.166 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.166 * [taylor]: Taking taylor expansion of 0 in k 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.169 * [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 3.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.169 * [backup-simplify]: Simplify (+ 0 0) into 0 3.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.170 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 3.171 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 3.172 * [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 3.172 * [taylor]: Taking taylor expansion of 0 in k 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.173 * [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)))))) 3.173 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.173 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 3.173 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.173 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.173 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.173 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.173 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.173 * [taylor]: Taking taylor expansion of 0.5 in k 3.173 * [backup-simplify]: Simplify 0.5 into 0.5 3.173 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.173 * [taylor]: Taking taylor expansion of 1.0 in k 3.173 * [backup-simplify]: Simplify 1.0 into 1.0 3.173 * [taylor]: Taking taylor expansion of k in k 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.174 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.174 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.174 * [taylor]: Taking taylor expansion of 2.0 in k 3.174 * [backup-simplify]: Simplify 2.0 into 2.0 3.174 * [taylor]: Taking taylor expansion of PI in k 3.174 * [backup-simplify]: Simplify PI into PI 3.174 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.174 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.175 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.176 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.178 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.178 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.178 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.178 * [taylor]: Taking taylor expansion of 0.5 in k 3.178 * [backup-simplify]: Simplify 0.5 into 0.5 3.178 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.178 * [taylor]: Taking taylor expansion of 1.0 in k 3.178 * [backup-simplify]: Simplify 1.0 into 1.0 3.178 * [taylor]: Taking taylor expansion of k in k 3.178 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify 1 into 1 3.178 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.178 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.178 * [taylor]: Taking taylor expansion of 2.0 in k 3.178 * [backup-simplify]: Simplify 2.0 into 2.0 3.178 * [taylor]: Taking taylor expansion of PI in k 3.178 * [backup-simplify]: Simplify PI into PI 3.178 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.179 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.179 * [backup-simplify]: Simplify (- 0) into 0 3.179 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.179 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.180 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.182 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.182 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 3.183 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.184 * [backup-simplify]: Simplify (- 1) into -1 3.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.185 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 3.194 * [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))) 3.198 * [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))) 3.198 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.200 * [backup-simplify]: Simplify (- 0) into 0 3.201 * [backup-simplify]: Simplify (+ 0 0) into 0 3.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 3.210 * [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))) 3.214 * [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))) 3.223 * [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)))) 3.224 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 3.224 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.224 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.224 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.224 * [taylor]: Taking taylor expansion of 0.5 in k 3.224 * [backup-simplify]: Simplify 0.5 into 0.5 3.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.224 * [taylor]: Taking taylor expansion of 1.0 in k 3.224 * [backup-simplify]: Simplify 1.0 into 1.0 3.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.224 * [taylor]: Taking taylor expansion of k in k 3.224 * [backup-simplify]: Simplify 0 into 0 3.224 * [backup-simplify]: Simplify 1 into 1 3.224 * [backup-simplify]: Simplify (/ 1 1) into 1 3.224 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.224 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.224 * [taylor]: Taking taylor expansion of 2.0 in k 3.224 * [backup-simplify]: Simplify 2.0 into 2.0 3.224 * [taylor]: Taking taylor expansion of PI in k 3.224 * [backup-simplify]: Simplify PI into PI 3.225 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.225 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.225 * [backup-simplify]: Simplify (- 1) into -1 3.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.226 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.227 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 3.227 * [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))))) 3.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.228 * [taylor]: Taking taylor expansion of 0.5 in k 3.228 * [backup-simplify]: Simplify 0.5 into 0.5 3.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.228 * [taylor]: Taking taylor expansion of 1.0 in k 3.228 * [backup-simplify]: Simplify 1.0 into 1.0 3.228 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.228 * [taylor]: Taking taylor expansion of k in k 3.228 * [backup-simplify]: Simplify 0 into 0 3.228 * [backup-simplify]: Simplify 1 into 1 3.228 * [backup-simplify]: Simplify (/ 1 1) into 1 3.228 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.228 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.228 * [taylor]: Taking taylor expansion of 2.0 in k 3.228 * [backup-simplify]: Simplify 2.0 into 2.0 3.228 * [taylor]: Taking taylor expansion of PI in k 3.228 * [backup-simplify]: Simplify PI into PI 3.228 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.229 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.229 * [backup-simplify]: Simplify (- 1) into -1 3.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.230 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.231 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 3.234 * [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))))) 3.235 * [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))))) 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.236 * [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))))) 3.236 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 3.236 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.236 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.236 * [taylor]: Taking taylor expansion of 0.5 in k 3.237 * [backup-simplify]: Simplify 0.5 into 0.5 3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.237 * [taylor]: Taking taylor expansion of k in k 3.237 * [backup-simplify]: Simplify 0 into 0 3.237 * [backup-simplify]: Simplify 1 into 1 3.237 * [backup-simplify]: Simplify (/ 1 1) into 1 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [backup-simplify]: Simplify 1.0 into 1.0 3.237 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.237 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.237 * [taylor]: Taking taylor expansion of 2.0 in k 3.237 * [backup-simplify]: Simplify 2.0 into 2.0 3.237 * [taylor]: Taking taylor expansion of PI in k 3.237 * [backup-simplify]: Simplify PI into PI 3.237 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.238 * [backup-simplify]: Simplify (+ 1 0) into 1 3.238 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.239 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.240 * [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)))) 3.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.240 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.240 * [taylor]: Taking taylor expansion of 0.5 in k 3.240 * [backup-simplify]: Simplify 0.5 into 0.5 3.240 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.240 * [taylor]: Taking taylor expansion of k in k 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (/ 1 1) into 1 3.240 * [taylor]: Taking taylor expansion of 1.0 in k 3.240 * [backup-simplify]: Simplify 1.0 into 1.0 3.240 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.240 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.240 * [taylor]: Taking taylor expansion of 2.0 in k 3.240 * [backup-simplify]: Simplify 2.0 into 2.0 3.240 * [taylor]: Taking taylor expansion of PI in k 3.240 * [backup-simplify]: Simplify PI into PI 3.241 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.241 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.242 * [backup-simplify]: Simplify (+ 1 0) into 1 3.242 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.243 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.243 * [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)))) 3.244 * [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)))) 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify 0 into 0 3.245 * [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))))) 3.245 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.245 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 3.245 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.245 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.245 * [taylor]: Taking taylor expansion of 1.0 in k 3.245 * [backup-simplify]: Simplify 1.0 into 1.0 3.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.245 * [taylor]: Taking taylor expansion of k in k 3.245 * [backup-simplify]: Simplify 0 into 0 3.245 * [backup-simplify]: Simplify 1 into 1 3.246 * [backup-simplify]: Simplify (/ 1 1) into 1 3.246 * [backup-simplify]: Simplify (sqrt 0) into 0 3.247 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.247 * [taylor]: Taking taylor expansion of 1.0 in k 3.247 * [backup-simplify]: Simplify 1.0 into 1.0 3.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.247 * [taylor]: Taking taylor expansion of k in k 3.247 * [backup-simplify]: Simplify 0 into 0 3.247 * [backup-simplify]: Simplify 1 into 1 3.247 * [backup-simplify]: Simplify (/ 1 1) into 1 3.247 * [backup-simplify]: Simplify (sqrt 0) into 0 3.248 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.249 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.249 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.250 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.252 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.253 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.253 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.257 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.257 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.258 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 3.258 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 3.258 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.258 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.258 * [taylor]: Taking taylor expansion of 1.0 in k 3.258 * [backup-simplify]: Simplify 1.0 into 1.0 3.258 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.258 * [taylor]: Taking taylor expansion of k in k 3.258 * [backup-simplify]: Simplify 0 into 0 3.258 * [backup-simplify]: Simplify 1 into 1 3.258 * [backup-simplify]: Simplify (sqrt 0) into 0 3.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.259 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.259 * [taylor]: Taking taylor expansion of 1.0 in k 3.259 * [backup-simplify]: Simplify 1.0 into 1.0 3.259 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.259 * [taylor]: Taking taylor expansion of k in k 3.259 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify 1 into 1 3.259 * [backup-simplify]: Simplify (sqrt 0) into 0 3.260 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.260 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.261 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.264 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.264 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.267 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.268 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.269 * [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)))))))) 3.269 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 3.269 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.269 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.269 * [taylor]: Taking taylor expansion of 1.0 in k 3.269 * [backup-simplify]: Simplify 1.0 into 1.0 3.269 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.269 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.269 * [taylor]: Taking taylor expansion of -1 in k 3.269 * [backup-simplify]: Simplify -1 into -1 3.269 * [taylor]: Taking taylor expansion of k in k 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 1 into 1 3.269 * [backup-simplify]: Simplify (/ -1 1) into -1 3.269 * [backup-simplify]: Simplify (sqrt 0) into 0 3.270 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.270 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.270 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.270 * [taylor]: Taking taylor expansion of 1.0 in k 3.270 * [backup-simplify]: Simplify 1.0 into 1.0 3.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.270 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.271 * [taylor]: Taking taylor expansion of -1 in k 3.271 * [backup-simplify]: Simplify -1 into -1 3.271 * [taylor]: Taking taylor expansion of k in k 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ -1 1) into -1 3.271 * [backup-simplify]: Simplify (sqrt 0) into 0 3.272 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.272 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.275 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.276 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.280 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.281 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.281 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.281 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.282 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 3.282 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 3.282 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.282 * [taylor]: Taking taylor expansion of 1.0 in k 3.282 * [backup-simplify]: Simplify 1.0 into 1.0 3.282 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.282 * [taylor]: Taking taylor expansion of k in k 3.282 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (/ 1 1) into 1 3.282 * [backup-simplify]: Simplify (sqrt 0) into 0 3.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.283 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.283 * [taylor]: Taking taylor expansion of 0.5 in k 3.283 * [backup-simplify]: Simplify 0.5 into 0.5 3.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.283 * [taylor]: Taking taylor expansion of 1.0 in k 3.283 * [backup-simplify]: Simplify 1.0 into 1.0 3.283 * [taylor]: Taking taylor expansion of k in k 3.283 * [backup-simplify]: Simplify 0 into 0 3.283 * [backup-simplify]: Simplify 1 into 1 3.283 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.283 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.283 * [taylor]: Taking taylor expansion of 2.0 in k 3.283 * [backup-simplify]: Simplify 2.0 into 2.0 3.283 * [taylor]: Taking taylor expansion of PI in k 3.283 * [backup-simplify]: Simplify PI into PI 3.284 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.284 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.285 * [backup-simplify]: Simplify (- 0) into 0 3.285 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.285 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.286 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.287 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.287 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.287 * [taylor]: Taking taylor expansion of 1.0 in k 3.287 * [backup-simplify]: Simplify 1.0 into 1.0 3.288 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.288 * [taylor]: Taking taylor expansion of k in k 3.288 * [backup-simplify]: Simplify 0 into 0 3.288 * [backup-simplify]: Simplify 1 into 1 3.288 * [backup-simplify]: Simplify (/ 1 1) into 1 3.288 * [backup-simplify]: Simplify (sqrt 0) into 0 3.289 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.289 * [taylor]: Taking taylor expansion of 0.5 in k 3.289 * [backup-simplify]: Simplify 0.5 into 0.5 3.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.289 * [taylor]: Taking taylor expansion of 1.0 in k 3.289 * [backup-simplify]: Simplify 1.0 into 1.0 3.289 * [taylor]: Taking taylor expansion of k in k 3.289 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify 1 into 1 3.289 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.289 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.289 * [taylor]: Taking taylor expansion of 2.0 in k 3.289 * [backup-simplify]: Simplify 2.0 into 2.0 3.289 * [taylor]: Taking taylor expansion of PI in k 3.289 * [backup-simplify]: Simplify PI into PI 3.289 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.290 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.290 * [backup-simplify]: Simplify (- 0) into 0 3.290 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.291 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.292 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.293 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 3.293 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 3.294 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.295 * [backup-simplify]: Simplify (- 1) into -1 3.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.296 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 3.306 * [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))) 3.309 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 3.314 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 3.317 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 3.317 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.322 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.323 * [backup-simplify]: Simplify (- 0) into 0 3.323 * [backup-simplify]: Simplify (+ 0 0) into 0 3.323 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 3.332 * [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))) 3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.334 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.345 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 3.359 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 3.368 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 3.369 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.372 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 3.384 * [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))) 3.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.414 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 3.441 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 3.459 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 3.498 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 3.499 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 3.499 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 3.499 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.499 * [taylor]: Taking taylor expansion of 1.0 in k 3.499 * [backup-simplify]: Simplify 1.0 into 1.0 3.499 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.499 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.499 * [taylor]: Taking taylor expansion of k in k 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (sqrt 0) into 0 3.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.500 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.500 * [taylor]: Taking taylor expansion of 0.5 in k 3.500 * [backup-simplify]: Simplify 0.5 into 0.5 3.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.500 * [taylor]: Taking taylor expansion of 1.0 in k 3.500 * [backup-simplify]: Simplify 1.0 into 1.0 3.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.500 * [taylor]: Taking taylor expansion of k in k 3.500 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.501 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.501 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.501 * [taylor]: Taking taylor expansion of 2.0 in k 3.501 * [backup-simplify]: Simplify 2.0 into 2.0 3.501 * [taylor]: Taking taylor expansion of PI in k 3.501 * [backup-simplify]: Simplify PI into PI 3.501 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.502 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.502 * [backup-simplify]: Simplify (- 1) into -1 3.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.502 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.503 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 3.504 * [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))))) 3.504 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.504 * [taylor]: Taking taylor expansion of 1.0 in k 3.504 * [backup-simplify]: Simplify 1.0 into 1.0 3.504 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.504 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.504 * [taylor]: Taking taylor expansion of k in k 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (sqrt 0) into 0 3.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.505 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.505 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.505 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.505 * [taylor]: Taking taylor expansion of 0.5 in k 3.505 * [backup-simplify]: Simplify 0.5 into 0.5 3.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.505 * [taylor]: Taking taylor expansion of 1.0 in k 3.505 * [backup-simplify]: Simplify 1.0 into 1.0 3.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.505 * [taylor]: Taking taylor expansion of k in k 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.506 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.506 * [taylor]: Taking taylor expansion of 2.0 in k 3.506 * [backup-simplify]: Simplify 2.0 into 2.0 3.506 * [taylor]: Taking taylor expansion of PI in k 3.506 * [backup-simplify]: Simplify PI into PI 3.506 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.507 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.507 * [backup-simplify]: Simplify (- 1) into -1 3.507 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.507 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.508 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 3.509 * [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))))) 3.510 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 3.510 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.512 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.513 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.514 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.517 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.518 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.524 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.524 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 3.527 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 3.527 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 3.527 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 3.527 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.527 * [taylor]: Taking taylor expansion of 1.0 in k 3.527 * [backup-simplify]: Simplify 1.0 into 1.0 3.527 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.527 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.527 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.528 * [taylor]: Taking taylor expansion of 0.5 in k 3.528 * [backup-simplify]: Simplify 0.5 into 0.5 3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.528 * [taylor]: Taking taylor expansion of k in k 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [taylor]: Taking taylor expansion of 1.0 in k 3.528 * [backup-simplify]: Simplify 1.0 into 1.0 3.528 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.528 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.528 * [taylor]: Taking taylor expansion of 2.0 in k 3.528 * [backup-simplify]: Simplify 2.0 into 2.0 3.528 * [taylor]: Taking taylor expansion of PI in k 3.528 * [backup-simplify]: Simplify PI into PI 3.528 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.529 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.529 * [backup-simplify]: Simplify (+ 1 0) into 1 3.529 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.530 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.531 * [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)))) 3.531 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.531 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.531 * [taylor]: Taking taylor expansion of -1 in k 3.531 * [backup-simplify]: Simplify -1 into -1 3.531 * [taylor]: Taking taylor expansion of k in k 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.531 * [backup-simplify]: Simplify (/ -1 1) into -1 3.532 * [backup-simplify]: Simplify (sqrt 0) into 0 3.532 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.533 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 3.533 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.533 * [taylor]: Taking taylor expansion of 1.0 in k 3.533 * [backup-simplify]: Simplify 1.0 into 1.0 3.533 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.533 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.533 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.533 * [taylor]: Taking taylor expansion of 0.5 in k 3.533 * [backup-simplify]: Simplify 0.5 into 0.5 3.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.533 * [taylor]: Taking taylor expansion of k in k 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [taylor]: Taking taylor expansion of 1.0 in k 3.534 * [backup-simplify]: Simplify 1.0 into 1.0 3.534 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.534 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.534 * [taylor]: Taking taylor expansion of 2.0 in k 3.534 * [backup-simplify]: Simplify 2.0 into 2.0 3.534 * [taylor]: Taking taylor expansion of PI in k 3.534 * [backup-simplify]: Simplify PI into PI 3.534 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.534 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.535 * [backup-simplify]: Simplify (+ 1 0) into 1 3.535 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.536 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 3.537 * [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)))) 3.537 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.537 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.537 * [taylor]: Taking taylor expansion of -1 in k 3.537 * [backup-simplify]: Simplify -1 into -1 3.537 * [taylor]: Taking taylor expansion of k in k 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (/ -1 1) into -1 3.537 * [backup-simplify]: Simplify (sqrt 0) into 0 3.538 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.539 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 3.539 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 3.540 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 3.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.542 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.543 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 3.545 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 3.545 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 3.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.550 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 3.552 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 3.553 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 3.555 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 3.555 * * * [progress]: simplifying candidates 3.558 * [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)) (- (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 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 3.559 * [simplify]: Sending expressions to egg_math: (* (log h0) (/ (- h1 h2) h3)) (* (log h0) (/ (- h1 h2) h3)) (* 1 (/ (- h1 h2) h3)) (pow h0 (/ h1 h3)) (pow h0 (/ h2 h3)) (pow h0 (* (cbrt (/ (- h1 h2) h3)) (cbrt (/ (- h1 h2) h3)))) (pow h0 (sqrt (/ (- h1 h2) h3))) (pow h0 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt h3) (cbrt h3)))) (pow h0 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt h3))) (pow h0 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1)) (pow h0 (/ (sqrt (- h1 h2)) (* (cbrt h3) (cbrt h3)))) (pow h0 (/ (sqrt (- h1 h2)) (sqrt h3))) (pow h0 (/ (sqrt (- h1 h2)) 1)) (pow h0 (/ 1 (* (cbrt h3) (cbrt h3)))) (pow h0 (/ 1 (sqrt h3))) (pow h0 (/ 1 1)) (pow h0 (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt h3) (cbrt h3)))) (pow h0 (/ (+ (sqrt h1) (sqrt h2)) (sqrt h3))) (pow h0 (/ (+ (sqrt h1) (sqrt h2)) 1)) (pow h0 (/ 1 (* (cbrt h3) (cbrt h3)))) (pow h0 (/ 1 (sqrt h3))) (pow h0 (/ 1 1)) (pow h0 1) (pow h0 (- h1 h2)) (pow (* (cbrt h0) (cbrt h0)) (/ (- h1 h2) h3)) (pow (cbrt h0) (/ (- h1 h2) h3)) (pow (sqrt h0) (/ (- h1 h2) h3)) (pow (sqrt h0) (/ (- h1 h2) h3)) (pow 1 (/ (- h1 h2) h3)) (pow h0 (/ (- h1 h2) h3)) (log (pow h0 (/ (- h1 h2) h3))) (exp (pow h0 (/ (- h1 h2) h3))) (* (cbrt (pow h0 (/ (- h1 h2) h3))) (cbrt (pow h0 (/ (- h1 h2) h3)))) (cbrt (pow h0 (/ (- h1 h2) h3))) (* (* (pow h0 (/ (- h1 h2) h3)) (pow h0 (/ (- h1 h2) h3))) (pow h0 (/ (- h1 h2) h3))) (sqrt (pow h0 (/ (- h1 h2) h3))) (sqrt (pow h0 (/ (- h1 h2) h3))) (pow h0 (/ (/ (- h1 h2) h3) 2)) (pow h0 (/ (/ (- h1 h2) h3) 2)) (* (+ (log h3) (log h4)) (/ (- h1 h2) h3)) (* (log (* h3 h4)) (/ (- h1 h2) h3)) (* (log (* h3 h4)) (/ (- h1 h2) h3)) (* 1 (/ (- h1 h2) h3)) (* 1 (/ (- h1 h2) h3)) (pow (* h3 h4) (/ h1 h3)) (pow (* h3 h4) (/ h2 h3)) (pow (* h3 h4) (* (cbrt (/ (- h1 h2) h3)) (cbrt (/ (- h1 h2) h3)))) (pow (* h3 h4) (sqrt (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt h3) (cbrt h3)))) (pow (* h3 h4) (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt h3))) (pow (* h3 h4) (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1)) (pow (* h3 h4) (/ (sqrt (- h1 h2)) (* (cbrt h3) (cbrt h3)))) (pow (* h3 h4) (/ (sqrt (- h1 h2)) (sqrt h3))) (pow (* h3 h4) (/ (sqrt (- h1 h2)) 1)) (pow (* h3 h4) (/ 1 (* (cbrt h3) (cbrt h3)))) (pow (* h3 h4) (/ 1 (sqrt h3))) (pow (* h3 h4) (/ 1 1)) (pow (* h3 h4) (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt h3) (cbrt h3)))) (pow (* h3 h4) (/ (+ (sqrt h1) (sqrt h2)) (sqrt h3))) (pow (* h3 h4) (/ (+ (sqrt h1) (sqrt h2)) 1)) (pow (* h3 h4) (/ 1 (* (cbrt h3) (cbrt h3)))) (pow (* h3 h4) (/ 1 (sqrt h3))) (pow (* h3 h4) (/ 1 1)) (pow (* h3 h4) 1) (pow (* h3 h4) (- h1 h2)) (pow h3 (/ (- h1 h2) h3)) (pow h4 (/ (- h1 h2) h3)) (log (pow (* h3 h4) (/ (- h1 h2) h3))) (exp (pow (* h3 h4) (/ (- h1 h2) h3))) (* (cbrt (pow (* h3 h4) (/ (- h1 h2) h3))) (cbrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (cbrt (pow (* h3 h4) (/ (- h1 h2) h3))) (* (* (pow (* h3 h4) (/ (- h1 h2) h3)) (pow (* h3 h4) (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (- h1 h2) h3))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2)) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2)) (- (log h1) (log (sqrt h2))) (log (/ h1 (sqrt h2))) (exp (/ h1 (sqrt h2))) (/ (* (* h1 h1) h1) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (cbrt (/ h1 (sqrt h2))) (cbrt (/ h1 (sqrt h2)))) (cbrt (/ h1 (sqrt h2))) (* (* (/ h1 (sqrt h2)) (/ h1 (sqrt h2))) (/ h1 (sqrt h2))) (sqrt (/ h1 (sqrt h2))) (sqrt (/ h1 (sqrt h2))) (- h1) (- (sqrt h2)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (sqrt h2)) (cbrt (sqrt h2)))) (/ (cbrt h1) (cbrt (sqrt h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (* (cbrt h2) (cbrt h2)))) (/ (cbrt h1) (sqrt (cbrt h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (sqrt h2))) (/ (cbrt h1) (sqrt (sqrt h2))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (sqrt h2)) (/ (* (cbrt h1) (cbrt h1)) (sqrt (sqrt h2))) (/ (cbrt h1) (sqrt (sqrt h2))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (sqrt h2)) (/ (sqrt h1) (* (cbrt (sqrt h2)) (cbrt (sqrt h2)))) (/ (sqrt h1) (cbrt (sqrt h2))) (/ (sqrt h1) (sqrt (* (cbrt h2) (cbrt h2)))) (/ (sqrt h1) (sqrt (cbrt h2))) (/ (sqrt h1) (sqrt (sqrt h2))) (/ (sqrt h1) (sqrt (sqrt h2))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (sqrt h2)) (/ (sqrt h1) (sqrt (sqrt h2))) (/ (sqrt h1) (sqrt (sqrt h2))) (/ (sqrt h1) 1) (/ (sqrt h1) (sqrt h2)) (/ 1 (* (cbrt (sqrt h2)) (cbrt (sqrt h2)))) (/ h1 (cbrt (sqrt h2))) (/ 1 (sqrt (* (cbrt h2) (cbrt h2)))) (/ h1 (sqrt (cbrt h2))) (/ 1 (sqrt (sqrt h2))) (/ h1 (sqrt (sqrt h2))) (/ 1 (sqrt 1)) (/ h1 (sqrt h2)) (/ 1 (sqrt (sqrt h2))) (/ h1 (sqrt (sqrt h2))) (/ 1 1) (/ h1 (sqrt h2)) (/ 1 (sqrt h2)) (/ (sqrt h2) h1) (/ h1 (* (cbrt (sqrt h2)) (cbrt (sqrt h2)))) (/ h1 (sqrt (* (cbrt h2) (cbrt h2)))) (/ h1 (sqrt (sqrt h2))) (/ h1 (sqrt 1)) (/ h1 (sqrt (sqrt h2))) (/ h1 1) (/ (sqrt h2) (cbrt h1)) (/ (sqrt h2) (sqrt h1)) (/ (sqrt h2) h1) (+ (- (log h1) (log (sqrt h2))) (* (+ (log h3) (log h4)) (/ (- h1 h2) h3))) (+ (- (log h1) (log (sqrt h2))) (* (log (* h3 h4)) (/ (- h1 h2) h3))) (+ (- (log h1) (log (sqrt h2))) (* (log (* h3 h4)) (/ (- h1 h2) h3))) (+ (- (log h1) (log (sqrt h2))) (log (pow (* h3 h4) (/ (- h1 h2) h3)))) (+ (log (/ h1 (sqrt h2))) (* (+ (log h3) (log h4)) (/ (- h1 h2) h3))) (+ (log (/ h1 (sqrt h2))) (* (log (* h3 h4)) (/ (- h1 h2) h3))) (+ (log (/ h1 (sqrt h2))) (* (log (* h3 h4)) (/ (- h1 h2) h3))) (+ (log (/ h1 (sqrt h2))) (log (pow (* h3 h4) (/ (- h1 h2) h3)))) (log (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (exp (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ (* (* h1 h1) h1) (* (* (sqrt h2) (sqrt h2)) (sqrt h2))) (* (* (pow (* h3 h4) (/ (- h1 h2) h3)) (pow (* h3 h4) (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (* (* (/ h1 (sqrt h2)) (/ h1 (sqrt h2))) (/ h1 (sqrt h2))) (* (* (pow (* h3 h4) (/ (- h1 h2) h3)) (pow (* h3 h4) (/ (- h1 h2) h3))) (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (cbrt (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (cbrt (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))))) (cbrt (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (* (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (sqrt (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (sqrt (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3)))) (* h1 (pow (* h3 h4) (/ h1 h3))) (* (sqrt h2) (pow (* h3 h4) (/ h2 h3))) (* (sqrt (/ h1 (sqrt h2))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (sqrt (/ h1 (sqrt h2))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (sqrt (/ h1 (sqrt h2))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (sqrt (/ h1 (sqrt h2))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (/ h1 (sqrt h2)) (pow h3 (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (* (cbrt (pow (* h3 h4) (/ (- h1 h2) h3))) (cbrt (pow (* h3 h4) (/ (- h1 h2) h3))))) (* (/ h1 (sqrt h2)) (sqrt (pow (* h3 h4) (/ (- h1 h2) h3)))) (* (/ h1 (sqrt h2)) 1) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (/ (- h1 h2) h3) 2))) (* (cbrt (/ h1 (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (sqrt (/ h1 (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (cbrt h1) (cbrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (cbrt h1) (sqrt (cbrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (cbrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (cbrt h1) (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (cbrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (cbrt h1) (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (cbrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt (cbrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ (sqrt h1) (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (cbrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt (cbrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt (sqrt h2))) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ 1 (sqrt h2)) (pow (* h3 h4) (/ (- h1 h2) h3))) (* (/ h1 (sqrt h2)) (pow (* h3 h4) (/ h1 h3))) (* h1 (pow (* h3 h4) (/ (- h1 h2) h3))) (- (+ (* h5 (* (* (pow h2 2) (pow (log h0) 2)) (pow (pow h0 h1) h6))) (pow h0 h6)) (* h6 (* (* h2 (log h0)) (pow (pow h0 h1) h6)))) (exp (* h7 (* (- h1 h2) (log (/ 1 h0))))) (exp (* h6 (* (- h1 h2) (- (log -1) (log (/ -1 h0)))))) (- (+ (* h5 (* (* (pow h2 2) (pow (log (* h3 h4)) 2)) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (pow (* h3 h4) h6)) (* h6 (* (* h2 (log (* h3 h4))) (pow (* (pow h3 h1) (pow h4 h1)) h6)))) (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (- (+ (* h8 h2) (- (+ (* h8 (pow h2 2)) (- h8))))) (- (+ (* h8 (/ 1 (pow h2 2))) (- (+ (* h8 (/ 1 h2)) (- (* h8 (/ 1 (pow h2 3)))))))) (- (+ (* h8 (/ 1 (pow h2 2))) (- (+ (* h8 (/ 1 h2)) (- h8))))) (- (+ (* h8 (* (pow h2 2) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (- (+ (* h8 (* (* (pow h2 2) (log (* h3 h4))) (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (+ (* h8 (* h2 (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (+ (* h8 (* (* h2 (log (* h3 h4))) (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (+ (* h8 (* (* (pow h2 2) (pow (log (* h3 h4)) 2)) (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (* h8 (pow (* (pow h4 h1) (pow h3 h1)) h6))))))))))))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (pow h2 2))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) h2)) (- (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (pow h2 3)))))))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) (pow h2 2))) (- (+ (* h8 (/ (exp (* h6 (* (- h1 h2) (log (* h3 h4))))) h2)) (- (* h8 (exp (* h6 (* (- h1 h2) (log (* h3 h4))))))))))) 3.567 * * [simplify]: iteration 0 : 819 enodes (cost 1327 ) 3.580 * * [simplify]: iteration 1 : 3182 enodes (cost 1246 ) 3.627 * * [simplify]: iteration 2 : 5002 enodes (cost 1236 ) 3.632 * * * [progress]: adding candidates to table 4.129 * * [progress]: iteration 4 / 4 4.129 * * * [progress]: picking best candidate 4.154 * * * * [pick]: Picked # 4.154 * * * [progress]: localizing error 4.175 * * * [progress]: generating rewritten candidates 4.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.183 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 4.190 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.256 * * * [progress]: generating series expansions 4.256 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.257 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 4.257 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.257 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.257 * [taylor]: Taking taylor expansion of 0.5 in k 4.257 * [backup-simplify]: Simplify 0.5 into 0.5 4.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.257 * [taylor]: Taking taylor expansion of 1.0 in k 4.257 * [backup-simplify]: Simplify 1.0 into 1.0 4.257 * [taylor]: Taking taylor expansion of k in k 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [taylor]: Taking taylor expansion of (log n) in k 4.257 * [taylor]: Taking taylor expansion of n in k 4.257 * [backup-simplify]: Simplify n into n 4.257 * [backup-simplify]: Simplify (log n) into (log n) 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.258 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.258 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.258 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.258 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.258 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.258 * [taylor]: Taking taylor expansion of 0.5 in n 4.258 * [backup-simplify]: Simplify 0.5 into 0.5 4.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.258 * [taylor]: Taking taylor expansion of 1.0 in n 4.258 * [backup-simplify]: Simplify 1.0 into 1.0 4.258 * [taylor]: Taking taylor expansion of k in n 4.258 * [backup-simplify]: Simplify k into k 4.258 * [taylor]: Taking taylor expansion of (log n) in n 4.258 * [taylor]: Taking taylor expansion of n in n 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (log 1) into 0 4.259 * [backup-simplify]: Simplify (- k) into (- k) 4.259 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.259 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.259 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.259 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.259 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.259 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.259 * [taylor]: Taking taylor expansion of 0.5 in n 4.259 * [backup-simplify]: Simplify 0.5 into 0.5 4.259 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.259 * [taylor]: Taking taylor expansion of 1.0 in n 4.259 * [backup-simplify]: Simplify 1.0 into 1.0 4.259 * [taylor]: Taking taylor expansion of k in n 4.259 * [backup-simplify]: Simplify k into k 4.259 * [taylor]: Taking taylor expansion of (log n) in n 4.259 * [taylor]: Taking taylor expansion of n in n 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (log 1) into 0 4.260 * [backup-simplify]: Simplify (- k) into (- k) 4.260 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.260 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.260 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.260 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.260 * [taylor]: Taking taylor expansion of 0.5 in k 4.260 * [backup-simplify]: Simplify 0.5 into 0.5 4.260 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.260 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.260 * [taylor]: Taking taylor expansion of 1.0 in k 4.260 * [backup-simplify]: Simplify 1.0 into 1.0 4.260 * [taylor]: Taking taylor expansion of k in k 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [taylor]: Taking taylor expansion of (log n) in k 4.260 * [taylor]: Taking taylor expansion of n in k 4.260 * [backup-simplify]: Simplify n into n 4.261 * [backup-simplify]: Simplify (log n) into (log n) 4.261 * [backup-simplify]: Simplify (- 0) into 0 4.261 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.261 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.261 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 4.261 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.261 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 4.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.262 * [backup-simplify]: Simplify (- 0) into 0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.263 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 4.264 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.264 * [taylor]: Taking taylor expansion of 0 in k 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.265 * [backup-simplify]: Simplify (- 1) into -1 4.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.265 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 4.266 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 4.266 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.266 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.268 * [backup-simplify]: Simplify (- 0) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.269 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.269 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 4.270 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.270 * [taylor]: Taking taylor expansion of 0 in k 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.271 * [backup-simplify]: Simplify (- 0) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.272 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 4.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 4.273 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.273 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.274 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 4.274 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 4.274 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.274 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.274 * [taylor]: Taking taylor expansion of 0.5 in k 4.274 * [backup-simplify]: Simplify 0.5 into 0.5 4.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.274 * [taylor]: Taking taylor expansion of 1.0 in k 4.274 * [backup-simplify]: Simplify 1.0 into 1.0 4.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.274 * [taylor]: Taking taylor expansion of k in k 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [backup-simplify]: Simplify (/ 1 1) into 1 4.274 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.274 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.274 * [taylor]: Taking taylor expansion of n in k 4.274 * [backup-simplify]: Simplify n into n 4.275 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.275 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.275 * [backup-simplify]: Simplify (- 1) into -1 4.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.275 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.275 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.275 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.276 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.276 * [taylor]: Taking taylor expansion of 0.5 in n 4.276 * [backup-simplify]: Simplify 0.5 into 0.5 4.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.276 * [taylor]: Taking taylor expansion of 1.0 in n 4.276 * [backup-simplify]: Simplify 1.0 into 1.0 4.276 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.276 * [taylor]: Taking taylor expansion of k in n 4.276 * [backup-simplify]: Simplify k into k 4.276 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.276 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.276 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (/ 1 1) into 1 4.276 * [backup-simplify]: Simplify (log 1) into 0 4.276 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.276 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.276 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.277 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.277 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.277 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.277 * [taylor]: Taking taylor expansion of 0.5 in n 4.277 * [backup-simplify]: Simplify 0.5 into 0.5 4.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.277 * [taylor]: Taking taylor expansion of 1.0 in n 4.277 * [backup-simplify]: Simplify 1.0 into 1.0 4.277 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.277 * [taylor]: Taking taylor expansion of k in n 4.277 * [backup-simplify]: Simplify k into k 4.277 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.277 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.277 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.277 * [taylor]: Taking taylor expansion of n in n 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (/ 1 1) into 1 4.278 * [backup-simplify]: Simplify (log 1) into 0 4.278 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.278 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.278 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.278 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.278 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.278 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.278 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.279 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.279 * [taylor]: Taking taylor expansion of -0.5 in k 4.279 * [backup-simplify]: Simplify -0.5 into -0.5 4.279 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.279 * [taylor]: Taking taylor expansion of (log n) in k 4.279 * [taylor]: Taking taylor expansion of n in k 4.279 * [backup-simplify]: Simplify n into n 4.279 * [backup-simplify]: Simplify (log n) into (log n) 4.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.279 * [taylor]: Taking taylor expansion of 1.0 in k 4.279 * [backup-simplify]: Simplify 1.0 into 1.0 4.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.279 * [taylor]: Taking taylor expansion of k in k 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify (/ 1 1) into 1 4.279 * [backup-simplify]: Simplify (- 1) into -1 4.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.280 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 4.280 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 4.280 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.280 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.282 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.282 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.282 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 4.283 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.283 * [taylor]: Taking taylor expansion of 0 in k 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.285 * [backup-simplify]: Simplify (- 0) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.286 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 4.287 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.287 * [taylor]: Taking taylor expansion of 0 in k 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.291 * [backup-simplify]: Simplify (- 0) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.292 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.293 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 4.294 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.294 * [taylor]: Taking taylor expansion of 0 in k 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 4.294 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 4.294 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.294 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.295 * [taylor]: Taking taylor expansion of 0.5 in k 4.295 * [backup-simplify]: Simplify 0.5 into 0.5 4.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.295 * [taylor]: Taking taylor expansion of k in k 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (/ 1 1) into 1 4.295 * [taylor]: Taking taylor expansion of 1.0 in k 4.295 * [backup-simplify]: Simplify 1.0 into 1.0 4.295 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.295 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.295 * [taylor]: Taking taylor expansion of -1 in k 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of n in k 4.295 * [backup-simplify]: Simplify n into n 4.295 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.295 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.295 * [backup-simplify]: Simplify (+ 1 0) into 1 4.296 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.296 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.296 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.296 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.296 * [taylor]: Taking taylor expansion of 0.5 in n 4.296 * [backup-simplify]: Simplify 0.5 into 0.5 4.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.296 * [taylor]: Taking taylor expansion of k in n 4.296 * [backup-simplify]: Simplify k into k 4.296 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.296 * [taylor]: Taking taylor expansion of 1.0 in n 4.296 * [backup-simplify]: Simplify 1.0 into 1.0 4.296 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.296 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.296 * [taylor]: Taking taylor expansion of -1 in n 4.296 * [backup-simplify]: Simplify -1 into -1 4.297 * [taylor]: Taking taylor expansion of n in n 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ -1 1) into -1 4.297 * [backup-simplify]: Simplify (log -1) into (log -1) 4.297 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.297 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.298 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.298 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.298 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.298 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.298 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.298 * [taylor]: Taking taylor expansion of 0.5 in n 4.299 * [backup-simplify]: Simplify 0.5 into 0.5 4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.299 * [taylor]: Taking taylor expansion of k in n 4.299 * [backup-simplify]: Simplify k into k 4.299 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.299 * [taylor]: Taking taylor expansion of 1.0 in n 4.299 * [backup-simplify]: Simplify 1.0 into 1.0 4.299 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.299 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.299 * [taylor]: Taking taylor expansion of -1 in n 4.299 * [backup-simplify]: Simplify -1 into -1 4.299 * [taylor]: Taking taylor expansion of n in n 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ -1 1) into -1 4.299 * [backup-simplify]: Simplify (log -1) into (log -1) 4.299 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.299 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.300 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.300 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.301 * [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)))) 4.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.301 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.301 * [taylor]: Taking taylor expansion of 0.5 in k 4.301 * [backup-simplify]: Simplify 0.5 into 0.5 4.301 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.301 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.301 * [taylor]: Taking taylor expansion of (log -1) in k 4.301 * [taylor]: Taking taylor expansion of -1 in k 4.301 * [backup-simplify]: Simplify -1 into -1 4.301 * [backup-simplify]: Simplify (log -1) into (log -1) 4.301 * [taylor]: Taking taylor expansion of (log n) in k 4.301 * [taylor]: Taking taylor expansion of n in k 4.301 * [backup-simplify]: Simplify n into n 4.301 * [backup-simplify]: Simplify (log n) into (log n) 4.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.301 * [taylor]: Taking taylor expansion of k in k 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [backup-simplify]: Simplify (/ 1 1) into 1 4.301 * [taylor]: Taking taylor expansion of 1.0 in k 4.301 * [backup-simplify]: Simplify 1.0 into 1.0 4.301 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.302 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 4.302 * [backup-simplify]: Simplify (+ 1 0) into 1 4.302 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 4.303 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 4.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.303 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.305 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.306 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.306 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 4.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.307 * [taylor]: Taking taylor expansion of 0 in k 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.315 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.316 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.317 * [taylor]: Taking taylor expansion of 0 in k 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.322 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 4.323 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.323 * [taylor]: Taking taylor expansion of 0 in k 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 4.324 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 4.324 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 4.324 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 4.324 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.324 * [taylor]: Taking taylor expansion of 0.5 in k 4.324 * [backup-simplify]: Simplify 0.5 into 0.5 4.324 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.324 * [taylor]: Taking taylor expansion of 1.0 in k 4.324 * [backup-simplify]: Simplify 1.0 into 1.0 4.324 * [taylor]: Taking taylor expansion of k in k 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify 1 into 1 4.324 * [taylor]: Taking taylor expansion of (log PI) in k 4.324 * [taylor]: Taking taylor expansion of PI in k 4.324 * [backup-simplify]: Simplify PI into PI 4.324 * [backup-simplify]: Simplify (log PI) into (log PI) 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.325 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.326 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.327 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.327 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.327 * [taylor]: Taking taylor expansion of 0.5 in k 4.327 * [backup-simplify]: Simplify 0.5 into 0.5 4.327 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.327 * [taylor]: Taking taylor expansion of 1.0 in k 4.327 * [backup-simplify]: Simplify 1.0 into 1.0 4.327 * [taylor]: Taking taylor expansion of k in k 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of (log PI) in k 4.327 * [taylor]: Taking taylor expansion of PI in k 4.327 * [backup-simplify]: Simplify PI into PI 4.327 * [backup-simplify]: Simplify (log PI) into (log PI) 4.327 * [backup-simplify]: Simplify (- 0) into 0 4.328 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.328 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.328 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.329 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.330 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 4.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.331 * [backup-simplify]: Simplify (- 1) into -1 4.331 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.332 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 4.338 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 4.340 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 4.342 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 4.342 * [backup-simplify]: Simplify (- 0) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 4.350 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 4.353 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 4.358 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 4.358 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 4.358 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.358 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.358 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.358 * [taylor]: Taking taylor expansion of 0.5 in k 4.358 * [backup-simplify]: Simplify 0.5 into 0.5 4.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.358 * [taylor]: Taking taylor expansion of 1.0 in k 4.358 * [backup-simplify]: Simplify 1.0 into 1.0 4.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.358 * [taylor]: Taking taylor expansion of k in k 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ 1 1) into 1 4.358 * [taylor]: Taking taylor expansion of (log PI) in k 4.358 * [taylor]: Taking taylor expansion of PI in k 4.358 * [backup-simplify]: Simplify PI into PI 4.358 * [backup-simplify]: Simplify (log PI) into (log PI) 4.359 * [backup-simplify]: Simplify (- 1) into -1 4.359 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.359 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.360 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 4.360 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.360 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.360 * [taylor]: Taking taylor expansion of 0.5 in k 4.360 * [backup-simplify]: Simplify 0.5 into 0.5 4.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.360 * [taylor]: Taking taylor expansion of 1.0 in k 4.360 * [backup-simplify]: Simplify 1.0 into 1.0 4.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.360 * [taylor]: Taking taylor expansion of k in k 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (/ 1 1) into 1 4.361 * [taylor]: Taking taylor expansion of (log PI) in k 4.361 * [taylor]: Taking taylor expansion of PI in k 4.361 * [backup-simplify]: Simplify PI into PI 4.361 * [backup-simplify]: Simplify (log PI) into (log PI) 4.361 * [backup-simplify]: Simplify (- 1) into -1 4.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.362 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.362 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 4.362 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.363 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 4.364 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 4.364 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.364 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.364 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.364 * [taylor]: Taking taylor expansion of 0.5 in k 4.364 * [backup-simplify]: Simplify 0.5 into 0.5 4.364 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.364 * [taylor]: Taking taylor expansion of k in k 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [backup-simplify]: Simplify (/ 1 1) into 1 4.364 * [taylor]: Taking taylor expansion of 1.0 in k 4.364 * [backup-simplify]: Simplify 1.0 into 1.0 4.364 * [taylor]: Taking taylor expansion of (log PI) in k 4.364 * [taylor]: Taking taylor expansion of PI in k 4.364 * [backup-simplify]: Simplify PI into PI 4.364 * [backup-simplify]: Simplify (log PI) into (log PI) 4.365 * [backup-simplify]: Simplify (+ 1 0) into 1 4.365 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.365 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.366 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.366 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.366 * [taylor]: Taking taylor expansion of 0.5 in k 4.366 * [backup-simplify]: Simplify 0.5 into 0.5 4.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.366 * [taylor]: Taking taylor expansion of k in k 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.366 * [backup-simplify]: Simplify (/ 1 1) into 1 4.366 * [taylor]: Taking taylor expansion of 1.0 in k 4.366 * [backup-simplify]: Simplify 1.0 into 1.0 4.366 * [taylor]: Taking taylor expansion of (log PI) in k 4.366 * [taylor]: Taking taylor expansion of PI in k 4.366 * [backup-simplify]: Simplify PI into PI 4.366 * [backup-simplify]: Simplify (log PI) into (log PI) 4.367 * [backup-simplify]: Simplify (+ 1 0) into 1 4.367 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.368 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.368 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.368 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 4.369 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.369 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.369 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.369 * [taylor]: Taking taylor expansion of 1.0 in k 4.369 * [backup-simplify]: Simplify 1.0 into 1.0 4.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.369 * [taylor]: Taking taylor expansion of k in k 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 1 into 1 4.369 * [backup-simplify]: Simplify (/ 1 1) into 1 4.369 * [backup-simplify]: Simplify (sqrt 0) into 0 4.370 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.370 * [taylor]: Taking taylor expansion of 1.0 in k 4.370 * [backup-simplify]: Simplify 1.0 into 1.0 4.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.370 * [taylor]: Taking taylor expansion of k in k 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [backup-simplify]: Simplify (sqrt 0) into 0 4.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.372 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.372 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.376 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.376 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.380 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.380 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.381 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.381 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.381 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.381 * [taylor]: Taking taylor expansion of 1.0 in k 4.381 * [backup-simplify]: Simplify 1.0 into 1.0 4.381 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.381 * [taylor]: Taking taylor expansion of k in k 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (sqrt 0) into 0 4.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.382 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.382 * [taylor]: Taking taylor expansion of 1.0 in k 4.382 * [backup-simplify]: Simplify 1.0 into 1.0 4.382 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.382 * [taylor]: Taking taylor expansion of k in k 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [backup-simplify]: Simplify (sqrt 0) into 0 4.383 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.383 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.384 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.386 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.387 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.391 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.392 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 4.392 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.392 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.392 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.392 * [taylor]: Taking taylor expansion of 1.0 in k 4.392 * [backup-simplify]: Simplify 1.0 into 1.0 4.392 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.392 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.392 * [taylor]: Taking taylor expansion of -1 in k 4.392 * [backup-simplify]: Simplify -1 into -1 4.392 * [taylor]: Taking taylor expansion of k in k 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (/ -1 1) into -1 4.393 * [backup-simplify]: Simplify (sqrt 0) into 0 4.394 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.394 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.394 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.394 * [taylor]: Taking taylor expansion of 1.0 in k 4.394 * [backup-simplify]: Simplify 1.0 into 1.0 4.394 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.394 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.394 * [taylor]: Taking taylor expansion of -1 in k 4.394 * [backup-simplify]: Simplify -1 into -1 4.394 * [taylor]: Taking taylor expansion of k in k 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (/ -1 1) into -1 4.395 * [backup-simplify]: Simplify (sqrt 0) into 0 4.395 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.396 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.398 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.399 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.400 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.411 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.411 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.412 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.412 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 4.412 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 4.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 4.412 * [taylor]: Taking taylor expansion of 1.0 in k 4.412 * [backup-simplify]: Simplify 1.0 into 1.0 4.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 4.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.412 * [taylor]: Taking taylor expansion of k in k 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 1 into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.413 * [backup-simplify]: Simplify (sqrt 0) into 0 4.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.413 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 4.413 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.413 * [taylor]: Taking taylor expansion of 0.5 in k 4.413 * [backup-simplify]: Simplify 0.5 into 0.5 4.413 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.413 * [taylor]: Taking taylor expansion of 1.0 in k 4.413 * [backup-simplify]: Simplify 1.0 into 1.0 4.413 * [taylor]: Taking taylor expansion of k in k 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 1 into 1 4.414 * [taylor]: Taking taylor expansion of (log PI) in k 4.414 * [taylor]: Taking taylor expansion of PI in k 4.414 * [backup-simplify]: Simplify PI into PI 4.414 * [backup-simplify]: Simplify (log PI) into (log PI) 4.414 * [backup-simplify]: Simplify (- 0) into 0 4.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.415 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.415 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.416 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.416 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.416 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.416 * [taylor]: Taking taylor expansion of 0.5 in k 4.416 * [backup-simplify]: Simplify 0.5 into 0.5 4.416 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.416 * [taylor]: Taking taylor expansion of 1.0 in k 4.416 * [backup-simplify]: Simplify 1.0 into 1.0 4.416 * [taylor]: Taking taylor expansion of k in k 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.416 * [taylor]: Taking taylor expansion of 2.0 in k 4.416 * [backup-simplify]: Simplify 2.0 into 2.0 4.416 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.417 * [backup-simplify]: Simplify (- 0) into 0 4.417 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.417 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.418 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 4.419 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 4.419 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 4.419 * [taylor]: Taking taylor expansion of 1.0 in k 4.419 * [backup-simplify]: Simplify 1.0 into 1.0 4.419 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 4.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.419 * [taylor]: Taking taylor expansion of k in k 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (/ 1 1) into 1 4.419 * [backup-simplify]: Simplify (sqrt 0) into 0 4.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.420 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 4.420 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.420 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.420 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.420 * [taylor]: Taking taylor expansion of 0.5 in k 4.420 * [backup-simplify]: Simplify 0.5 into 0.5 4.420 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.420 * [taylor]: Taking taylor expansion of 1.0 in k 4.420 * [backup-simplify]: Simplify 1.0 into 1.0 4.420 * [taylor]: Taking taylor expansion of k in k 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [taylor]: Taking taylor expansion of (log PI) in k 4.420 * [taylor]: Taking taylor expansion of PI in k 4.420 * [backup-simplify]: Simplify PI into PI 4.420 * [backup-simplify]: Simplify (log PI) into (log PI) 4.421 * [backup-simplify]: Simplify (- 0) into 0 4.421 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.421 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.422 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.423 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.423 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.423 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.423 * [taylor]: Taking taylor expansion of 0.5 in k 4.423 * [backup-simplify]: Simplify 0.5 into 0.5 4.423 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.423 * [taylor]: Taking taylor expansion of 1.0 in k 4.423 * [backup-simplify]: Simplify 1.0 into 1.0 4.423 * [taylor]: Taking taylor expansion of k in k 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.423 * [taylor]: Taking taylor expansion of 2.0 in k 4.423 * [backup-simplify]: Simplify 2.0 into 2.0 4.423 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.423 * [backup-simplify]: Simplify (- 0) into 0 4.424 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.424 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.424 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 4.425 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 4.426 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 4.427 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 4.427 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.428 * [backup-simplify]: Simplify (- 1) into -1 4.428 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.429 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 4.435 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 4.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.436 * [backup-simplify]: Simplify (- 1) into -1 4.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.438 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 4.444 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 4.452 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 4.457 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.462 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.464 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 4.466 * [backup-simplify]: Simplify (- 0) into 0 4.466 * [backup-simplify]: Simplify (+ 0 0) into 0 4.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 4.473 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 4.475 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 4.475 * [backup-simplify]: Simplify (- 0) into 0 4.475 * [backup-simplify]: Simplify (+ 0 0) into 0 4.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 4.483 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 4.507 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.510 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.530 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 4.551 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 4.567 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 4.569 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 4.570 * [backup-simplify]: Simplify (- 0) into 0 4.570 * [backup-simplify]: Simplify (+ 0 0) into 0 4.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 4.586 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 4.589 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 4.589 * [backup-simplify]: Simplify (- 0) into 0 4.589 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 4.599 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 4.628 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 4.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.685 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 4.758 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 4.810 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 4.886 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 4.887 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 4.887 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 4.887 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.887 * [taylor]: Taking taylor expansion of 1.0 in k 4.887 * [backup-simplify]: Simplify 1.0 into 1.0 4.887 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.887 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.887 * [taylor]: Taking taylor expansion of k in k 4.887 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (sqrt 0) into 0 4.888 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.888 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.888 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.889 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.889 * [taylor]: Taking taylor expansion of 0.5 in k 4.889 * [backup-simplify]: Simplify 0.5 into 0.5 4.889 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.889 * [taylor]: Taking taylor expansion of 1.0 in k 4.889 * [backup-simplify]: Simplify 1.0 into 1.0 4.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.889 * [taylor]: Taking taylor expansion of k in k 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.889 * [backup-simplify]: Simplify (/ 1 1) into 1 4.889 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.889 * [taylor]: Taking taylor expansion of 2.0 in k 4.889 * [backup-simplify]: Simplify 2.0 into 2.0 4.889 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.889 * [backup-simplify]: Simplify (- 1) into -1 4.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.890 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.891 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 4.891 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 4.891 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.891 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.891 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.891 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.891 * [taylor]: Taking taylor expansion of 0.5 in k 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.891 * [taylor]: Taking taylor expansion of 1.0 in k 4.891 * [backup-simplify]: Simplify 1.0 into 1.0 4.891 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.891 * [taylor]: Taking taylor expansion of k in k 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [taylor]: Taking taylor expansion of (log PI) in k 4.891 * [taylor]: Taking taylor expansion of PI in k 4.891 * [backup-simplify]: Simplify PI into PI 4.892 * [backup-simplify]: Simplify (log PI) into (log PI) 4.892 * [backup-simplify]: Simplify (- 1) into -1 4.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.892 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.893 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 4.893 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.893 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.893 * [taylor]: Taking taylor expansion of 1.0 in k 4.893 * [backup-simplify]: Simplify 1.0 into 1.0 4.893 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.893 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.893 * [taylor]: Taking taylor expansion of k in k 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (sqrt 0) into 0 4.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.894 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.894 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.894 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.894 * [taylor]: Taking taylor expansion of 0.5 in k 4.894 * [backup-simplify]: Simplify 0.5 into 0.5 4.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.895 * [taylor]: Taking taylor expansion of 1.0 in k 4.895 * [backup-simplify]: Simplify 1.0 into 1.0 4.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.895 * [taylor]: Taking taylor expansion of k in k 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [backup-simplify]: Simplify (/ 1 1) into 1 4.895 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.895 * [taylor]: Taking taylor expansion of 2.0 in k 4.895 * [backup-simplify]: Simplify 2.0 into 2.0 4.895 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.895 * [backup-simplify]: Simplify (- 1) into -1 4.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.896 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.896 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 4.897 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 4.897 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.897 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.897 * [taylor]: Taking taylor expansion of 0.5 in k 4.897 * [backup-simplify]: Simplify 0.5 into 0.5 4.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.897 * [taylor]: Taking taylor expansion of 1.0 in k 4.897 * [backup-simplify]: Simplify 1.0 into 1.0 4.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.897 * [taylor]: Taking taylor expansion of k in k 4.897 * [backup-simplify]: Simplify 0 into 0 4.897 * [backup-simplify]: Simplify 1 into 1 4.897 * [backup-simplify]: Simplify (/ 1 1) into 1 4.897 * [taylor]: Taking taylor expansion of (log PI) in k 4.897 * [taylor]: Taking taylor expansion of PI in k 4.897 * [backup-simplify]: Simplify PI into PI 4.904 * [backup-simplify]: Simplify (log PI) into (log PI) 4.904 * [backup-simplify]: Simplify (- 1) into -1 4.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.905 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.905 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 4.906 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.907 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 4.907 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 4.907 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 4.909 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.910 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.911 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.912 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 4.913 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.916 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.917 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.918 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 4.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.924 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.925 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 4.927 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 4.928 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 4.928 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 4.928 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 4.928 * [taylor]: Taking taylor expansion of 1.0 in k 4.928 * [backup-simplify]: Simplify 1.0 into 1.0 4.928 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.928 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.928 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.928 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.928 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.928 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.928 * [taylor]: Taking taylor expansion of 0.5 in k 4.928 * [backup-simplify]: Simplify 0.5 into 0.5 4.928 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.928 * [taylor]: Taking taylor expansion of k in k 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 1 into 1 4.928 * [backup-simplify]: Simplify (/ 1 1) into 1 4.928 * [taylor]: Taking taylor expansion of 1.0 in k 4.928 * [backup-simplify]: Simplify 1.0 into 1.0 4.928 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.928 * [taylor]: Taking taylor expansion of 2.0 in k 4.928 * [backup-simplify]: Simplify 2.0 into 2.0 4.929 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.929 * [backup-simplify]: Simplify (+ 1 0) into 1 4.929 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.930 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 4.930 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 4.930 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.930 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.930 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.930 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.930 * [taylor]: Taking taylor expansion of 0.5 in k 4.930 * [backup-simplify]: Simplify 0.5 into 0.5 4.930 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.930 * [taylor]: Taking taylor expansion of k in k 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [taylor]: Taking taylor expansion of 1.0 in k 4.930 * [backup-simplify]: Simplify 1.0 into 1.0 4.930 * [taylor]: Taking taylor expansion of (log PI) in k 4.930 * [taylor]: Taking taylor expansion of PI in k 4.930 * [backup-simplify]: Simplify PI into PI 4.931 * [backup-simplify]: Simplify (log PI) into (log PI) 4.931 * [backup-simplify]: Simplify (+ 1 0) into 1 4.931 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.932 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.932 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.932 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.932 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.932 * [taylor]: Taking taylor expansion of -1 in k 4.932 * [backup-simplify]: Simplify -1 into -1 4.932 * [taylor]: Taking taylor expansion of k in k 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 1 into 1 4.932 * [backup-simplify]: Simplify (/ -1 1) into -1 4.933 * [backup-simplify]: Simplify (sqrt 0) into 0 4.933 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.934 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 4.935 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 4.935 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 4.935 * [taylor]: Taking taylor expansion of 1.0 in k 4.935 * [backup-simplify]: Simplify 1.0 into 1.0 4.935 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.935 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.935 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.935 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.935 * [taylor]: Taking taylor expansion of 0.5 in k 4.935 * [backup-simplify]: Simplify 0.5 into 0.5 4.935 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.935 * [taylor]: Taking taylor expansion of k in k 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [backup-simplify]: Simplify (/ 1 1) into 1 4.935 * [taylor]: Taking taylor expansion of 1.0 in k 4.935 * [backup-simplify]: Simplify 1.0 into 1.0 4.935 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.935 * [taylor]: Taking taylor expansion of 2.0 in k 4.935 * [backup-simplify]: Simplify 2.0 into 2.0 4.936 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.936 * [backup-simplify]: Simplify (+ 1 0) into 1 4.936 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.937 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 4.937 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 4.937 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.937 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.937 * [taylor]: Taking taylor expansion of 0.5 in k 4.937 * [backup-simplify]: Simplify 0.5 into 0.5 4.937 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.937 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.937 * [taylor]: Taking taylor expansion of k in k 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of 1.0 in k 4.937 * [backup-simplify]: Simplify 1.0 into 1.0 4.937 * [taylor]: Taking taylor expansion of (log PI) in k 4.937 * [taylor]: Taking taylor expansion of PI in k 4.937 * [backup-simplify]: Simplify PI into PI 4.938 * [backup-simplify]: Simplify (log PI) into (log PI) 4.938 * [backup-simplify]: Simplify (+ 1 0) into 1 4.938 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.939 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.939 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.939 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.939 * [taylor]: Taking taylor expansion of -1 in k 4.939 * [backup-simplify]: Simplify -1 into -1 4.939 * [taylor]: Taking taylor expansion of k in k 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify (/ -1 1) into -1 4.940 * [backup-simplify]: Simplify (sqrt 0) into 0 4.940 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.941 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 4.942 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 4.942 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 4.943 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 4.944 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 4.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.946 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.947 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 4.949 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 4.949 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 4.950 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 4.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.955 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 4.957 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 4.957 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 4.960 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 4.960 * * * [progress]: simplifying candidates 4.963 * [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 PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ 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(- (+ (* h8 (* (pow h2 2) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (- (+ (* h8 (* (* h2 (log h4)) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (- (+ (* h8 (* (* (pow h2 2) (log h3)) (pow (* (pow h3 h1) (pow h4 h1)) h6))) (- (+ (* h8 (pow (* (pow h3 h1) (pow h4 h1)) h6)) (- (+ (* h8 (* h2 (pow (* (pow h4 h1) (pow h3 h1)) h6))) (- (* h8 (* (* h2 (log h3)) (pow (* (pow h3 h1) (pow h4 h1)) h6)))))))))))))))))))))) (- (+ (* h8 (/ (* (exp (* h6 (* (log h3) (- h1 h2)))) (exp (* h6 (* (- h1 h2) (log h4))))) (pow h2 2))) (- (+ (* h8 (/ (* (exp (* h6 (* (log h3) (- h1 h2)))) (exp (* h6 (* (- h1 h2) (log h4))))) h2)) (- (* h8 (/ (* (exp (* h6 (* (log h3) (- h1 h2)))) (exp (* h6 (* (- h1 h2) (log h4))))) (pow h2 3)))))))) (- (+ (* h8 (* (exp (* h6 (* (log h3) (- h1 h2)))) (exp (* h6 (* (- h1 h2) (log h4)))))) (- (+ (* h8 (/ (* (exp (* h6 (* (log h3) (- h1 h2)))) (exp (* h6 (* (- h1 h2) (log h4))))) h2)) (- (* h8 (/ (* (exp (* h6 (* (log h3) (- h1 h2)))) (exp (* h6 (* (- h1 h2) (log h4))))) (pow h2 2)))))))) 4.973 * * [simplify]: iteration 0 : 1026 enodes (cost 1582 ) 4.991 * * [simplify]: iteration 1 : 4112 enodes (cost 1443 ) 5.055 * * [simplify]: iteration 2 : 5002 enodes (cost 1434 ) 5.061 * * * [progress]: adding candidates to table 5.607 * [progress]: [Phase 3 of 3] Extracting. 5.607 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.609 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.609 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.648 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.685 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.723 * * * [regime]: Found split indices: #