49.266 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.152 * * * [progress]: [2/2] Setting up program. 0.155 * [progress]: [Phase 2 of 3] Improving. 0.155 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.156 * * [simplify]: Extracting # 0 : cost 0 0.156 * * [simplify]: Extracting # 1 : cost 0 0.156 * * [simplify]: Extracting # 2 : cost 0 0.156 * * [simplify]: Extracting # 3 : cost 0 0.156 * * [simplify]: Extracting # 4 : cost 0 0.156 * * [simplify]: Extracting # 5 : cost 0 0.156 * * [simplify]: Extracting # 6 : cost 0 0.156 * * [simplify]: Extracting # 7 : cost 0 0.156 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.159 * * [simplify]: Extracting # 0 : cost 0 0.159 * * [simplify]: Extracting # 1 : cost 0 0.159 * * [simplify]: Extracting # 2 : cost 0 0.159 * * [simplify]: Extracting # 3 : cost 0 0.159 * * [simplify]: Extracting # 4 : cost 0 0.159 * * [simplify]: Extracting # 5 : cost 0 0.159 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.205 * * [simplify]: Extracting # 0 : cost 0 0.206 * * [simplify]: Extracting # 1 : cost 0 0.206 * * [simplify]: Extracting # 2 : cost 0 0.206 * * [simplify]: Extracting # 3 : cost 0 0.206 * * [simplify]: Extracting # 4 : cost 0 0.206 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.234 * * [simplify]: Extracting # 0 : cost 0 0.235 * * [simplify]: Extracting # 1 : cost 0 0.235 * * [simplify]: Extracting # 2 : cost 0 0.235 * * [simplify]: Extracting # 3 : cost 0 0.235 * * [simplify]: Extracting # 4 : cost 0 0.236 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.297 * * [simplify]: Extracting # 0 : cost 0 0.297 * * [simplify]: Extracting # 1 : cost 0 0.298 * * [simplify]: Extracting # 2 : cost 0 0.299 * * [simplify]: Extracting # 3 : cost 0 0.299 * * [simplify]: Extracting # 4 : cost 0 0.300 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.512 * * [simplify]: Extracting # 0 : cost 0 0.513 * * [simplify]: Extracting # 1 : cost 0 0.515 * * [simplify]: Extracting # 2 : cost 0 0.516 * * [simplify]: Extracting # 3 : cost 0 0.516 * * [simplify]: Extracting # 4 : cost 0 0.517 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.168 * * [simplify]: Extracting # 0 : cost 0 2.172 * * [simplify]: Extracting # 1 : cost 0 2.175 * * [simplify]: Extracting # 2 : cost 0 2.178 * * [simplify]: Extracting # 3 : cost 0 2.182 * * [simplify]: Extracting # 4 : cost 0 2.188 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.872 * * [simplify]: Extracting # 0 : cost 0 3.881 * * [simplify]: Extracting # 1 : cost 0 3.886 * * [simplify]: Extracting # 2 : cost 0 3.891 * * [simplify]: Extracting # 3 : cost 0 3.901 * * [simplify]: Extracting # 4 : cost 0 3.910 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.910 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.911 * * [progress]: iteration 1 / 4 3.911 * * * [progress]: picking best candidate 3.916 * * * * [pick]: Picked # 3.916 * * * [progress]: localizing error 3.947 * * * [progress]: generating rewritten candidates 3.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.993 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.000 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.025 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.102 * * * [progress]: generating series expansions 4.102 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.103 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.103 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.103 * [taylor]: Taking taylor expansion of 0.5 in k 4.103 * [backup-simplify]: Simplify 0.5 into 0.5 4.104 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.104 * [taylor]: Taking taylor expansion of 1.0 in k 4.104 * [backup-simplify]: Simplify 1.0 into 1.0 4.104 * [taylor]: Taking taylor expansion of k in k 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.104 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.104 * [taylor]: Taking taylor expansion of 2.0 in k 4.104 * [backup-simplify]: Simplify 2.0 into 2.0 4.104 * [taylor]: Taking taylor expansion of (* n PI) in k 4.104 * [taylor]: Taking taylor expansion of n in k 4.104 * [backup-simplify]: Simplify n into n 4.104 * [taylor]: Taking taylor expansion of PI in k 4.104 * [backup-simplify]: Simplify PI into PI 4.104 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.104 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.104 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.105 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.105 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.105 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.105 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.105 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.105 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.105 * [taylor]: Taking taylor expansion of 0.5 in n 4.105 * [backup-simplify]: Simplify 0.5 into 0.5 4.105 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.105 * [taylor]: Taking taylor expansion of 1.0 in n 4.105 * [backup-simplify]: Simplify 1.0 into 1.0 4.105 * [taylor]: Taking taylor expansion of k in n 4.105 * [backup-simplify]: Simplify k into k 4.105 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.105 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.105 * [taylor]: Taking taylor expansion of 2.0 in n 4.105 * [backup-simplify]: Simplify 2.0 into 2.0 4.105 * [taylor]: Taking taylor expansion of (* n PI) in n 4.105 * [taylor]: Taking taylor expansion of n in n 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.105 * [taylor]: Taking taylor expansion of PI in n 4.105 * [backup-simplify]: Simplify PI into PI 4.106 * [backup-simplify]: Simplify (* 0 PI) into 0 4.106 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.108 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.109 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.109 * [backup-simplify]: Simplify (- k) into (- k) 4.109 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.109 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.110 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.111 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.111 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.112 * [taylor]: Taking taylor expansion of 0.5 in n 4.112 * [backup-simplify]: Simplify 0.5 into 0.5 4.112 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.112 * [taylor]: Taking taylor expansion of 1.0 in n 4.112 * [backup-simplify]: Simplify 1.0 into 1.0 4.112 * [taylor]: Taking taylor expansion of k in n 4.112 * [backup-simplify]: Simplify k into k 4.112 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.112 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.112 * [taylor]: Taking taylor expansion of 2.0 in n 4.112 * [backup-simplify]: Simplify 2.0 into 2.0 4.112 * [taylor]: Taking taylor expansion of (* n PI) in n 4.112 * [taylor]: Taking taylor expansion of n in n 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [taylor]: Taking taylor expansion of PI in n 4.112 * [backup-simplify]: Simplify PI into PI 4.112 * [backup-simplify]: Simplify (* 0 PI) into 0 4.112 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.114 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.115 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.115 * [backup-simplify]: Simplify (- k) into (- k) 4.115 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.115 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.116 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.117 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.118 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.118 * [taylor]: Taking taylor expansion of 0.5 in k 4.118 * [backup-simplify]: Simplify 0.5 into 0.5 4.118 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.118 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.118 * [taylor]: Taking taylor expansion of 1.0 in k 4.118 * [backup-simplify]: Simplify 1.0 into 1.0 4.118 * [taylor]: Taking taylor expansion of k in k 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.118 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.118 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.118 * [taylor]: Taking taylor expansion of 2.0 in k 4.118 * [backup-simplify]: Simplify 2.0 into 2.0 4.118 * [taylor]: Taking taylor expansion of PI in k 4.118 * [backup-simplify]: Simplify PI into PI 4.118 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.119 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.119 * [taylor]: Taking taylor expansion of (log n) in k 4.119 * [taylor]: Taking taylor expansion of n in k 4.119 * [backup-simplify]: Simplify n into n 4.119 * [backup-simplify]: Simplify (log n) into (log n) 4.119 * [backup-simplify]: Simplify (- 0) into 0 4.120 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.120 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.121 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.122 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.123 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.124 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.125 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.126 * [backup-simplify]: Simplify (- 0) into 0 4.127 * [backup-simplify]: Simplify (+ 0 0) into 0 4.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.128 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.129 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.131 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.131 * [taylor]: Taking taylor expansion of 0 in k 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.133 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (- 1) into -1 4.134 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.135 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.136 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 4.138 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.140 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.144 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.144 * [backup-simplify]: Simplify (- 0) into 0 4.144 * [backup-simplify]: Simplify (+ 0 0) into 0 4.145 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.147 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.148 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.148 * [taylor]: Taking taylor expansion of 0 in k 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.153 * [backup-simplify]: Simplify (- 0) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.168 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.178 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.178 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 4.178 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.178 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.178 * [taylor]: Taking taylor expansion of 0.5 in k 4.178 * [backup-simplify]: Simplify 0.5 into 0.5 4.178 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.179 * [taylor]: Taking taylor expansion of 1.0 in k 4.179 * [backup-simplify]: Simplify 1.0 into 1.0 4.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.179 * [taylor]: Taking taylor expansion of k in k 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [backup-simplify]: Simplify (/ 1 1) into 1 4.179 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.179 * [taylor]: Taking taylor expansion of 2.0 in k 4.179 * [backup-simplify]: Simplify 2.0 into 2.0 4.179 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.179 * [taylor]: Taking taylor expansion of PI in k 4.179 * [backup-simplify]: Simplify PI into PI 4.179 * [taylor]: Taking taylor expansion of n in k 4.179 * [backup-simplify]: Simplify n into n 4.179 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.179 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.179 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.180 * [backup-simplify]: Simplify (- 1) into -1 4.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.180 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.180 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.180 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.180 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.180 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.180 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.181 * [taylor]: Taking taylor expansion of 0.5 in n 4.181 * [backup-simplify]: Simplify 0.5 into 0.5 4.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.181 * [taylor]: Taking taylor expansion of 1.0 in n 4.181 * [backup-simplify]: Simplify 1.0 into 1.0 4.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.181 * [taylor]: Taking taylor expansion of k in n 4.181 * [backup-simplify]: Simplify k into k 4.181 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.181 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.181 * [taylor]: Taking taylor expansion of 2.0 in n 4.181 * [backup-simplify]: Simplify 2.0 into 2.0 4.181 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.181 * [taylor]: Taking taylor expansion of PI in n 4.181 * [backup-simplify]: Simplify PI into PI 4.181 * [taylor]: Taking taylor expansion of n in n 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (/ PI 1) into PI 4.182 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.187 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.187 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.187 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.187 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.188 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.189 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.190 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.190 * [taylor]: Taking taylor expansion of 0.5 in n 4.190 * [backup-simplify]: Simplify 0.5 into 0.5 4.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.190 * [taylor]: Taking taylor expansion of 1.0 in n 4.190 * [backup-simplify]: Simplify 1.0 into 1.0 4.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.190 * [taylor]: Taking taylor expansion of k in n 4.190 * [backup-simplify]: Simplify k into k 4.190 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.190 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.190 * [taylor]: Taking taylor expansion of 2.0 in n 4.190 * [backup-simplify]: Simplify 2.0 into 2.0 4.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.190 * [taylor]: Taking taylor expansion of PI in n 4.190 * [backup-simplify]: Simplify PI into PI 4.190 * [taylor]: Taking taylor expansion of n in n 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (/ PI 1) into PI 4.191 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.192 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.192 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.192 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.192 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.193 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.194 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.195 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.195 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.195 * [taylor]: Taking taylor expansion of 0.5 in k 4.195 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.195 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.195 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.195 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.195 * [taylor]: Taking taylor expansion of 2.0 in k 4.195 * [backup-simplify]: Simplify 2.0 into 2.0 4.195 * [taylor]: Taking taylor expansion of PI in k 4.195 * [backup-simplify]: Simplify PI into PI 4.195 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.196 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.196 * [taylor]: Taking taylor expansion of (log n) in k 4.196 * [taylor]: Taking taylor expansion of n in k 4.196 * [backup-simplify]: Simplify n into n 4.196 * [backup-simplify]: Simplify (log n) into (log n) 4.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.196 * [taylor]: Taking taylor expansion of 1.0 in k 4.196 * [backup-simplify]: Simplify 1.0 into 1.0 4.196 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.196 * [taylor]: Taking taylor expansion of k in k 4.196 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.196 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.197 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.197 * [backup-simplify]: Simplify (- 1) into -1 4.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.198 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.199 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.200 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.201 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.204 * [backup-simplify]: Simplify (- 0) into 0 4.204 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.208 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.210 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.210 * [taylor]: Taking taylor expansion of 0 in k 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.216 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.217 * [backup-simplify]: Simplify (- 0) into 0 4.217 * [backup-simplify]: Simplify (+ 0 0) into 0 4.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.219 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.221 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.223 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.223 * [taylor]: Taking taylor expansion of 0 in k 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.232 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.233 * [backup-simplify]: Simplify (- 0) into 0 4.234 * [backup-simplify]: Simplify (+ 0 0) into 0 4.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.239 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.242 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.243 * [taylor]: Taking taylor expansion of 0 in k 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 4.245 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 4.245 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.245 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.245 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.245 * [taylor]: Taking taylor expansion of 0.5 in k 4.245 * [backup-simplify]: Simplify 0.5 into 0.5 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.245 * [taylor]: Taking taylor expansion of k in k 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [taylor]: Taking taylor expansion of 1.0 in k 4.246 * [backup-simplify]: Simplify 1.0 into 1.0 4.246 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.246 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.246 * [taylor]: Taking taylor expansion of -2.0 in k 4.246 * [backup-simplify]: Simplify -2.0 into -2.0 4.246 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.246 * [taylor]: Taking taylor expansion of PI in k 4.246 * [backup-simplify]: Simplify PI into PI 4.246 * [taylor]: Taking taylor expansion of n in k 4.246 * [backup-simplify]: Simplify n into n 4.246 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.246 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.247 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.247 * [backup-simplify]: Simplify (+ 1 0) into 1 4.248 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.248 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.248 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.248 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.248 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.248 * [taylor]: Taking taylor expansion of 0.5 in n 4.248 * [backup-simplify]: Simplify 0.5 into 0.5 4.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.248 * [taylor]: Taking taylor expansion of k in n 4.248 * [backup-simplify]: Simplify k into k 4.248 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.248 * [taylor]: Taking taylor expansion of 1.0 in n 4.249 * [backup-simplify]: Simplify 1.0 into 1.0 4.249 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.249 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.249 * [taylor]: Taking taylor expansion of -2.0 in n 4.249 * [backup-simplify]: Simplify -2.0 into -2.0 4.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.249 * [taylor]: Taking taylor expansion of PI in n 4.249 * [backup-simplify]: Simplify PI into PI 4.249 * [taylor]: Taking taylor expansion of n in n 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ PI 1) into PI 4.250 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.251 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.251 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.251 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.254 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.256 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.256 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.256 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.256 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.256 * [taylor]: Taking taylor expansion of 0.5 in n 4.256 * [backup-simplify]: Simplify 0.5 into 0.5 4.256 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.256 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.256 * [taylor]: Taking taylor expansion of k in n 4.256 * [backup-simplify]: Simplify k into k 4.256 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.256 * [taylor]: Taking taylor expansion of 1.0 in n 4.256 * [backup-simplify]: Simplify 1.0 into 1.0 4.256 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.256 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.256 * [taylor]: Taking taylor expansion of -2.0 in n 4.256 * [backup-simplify]: Simplify -2.0 into -2.0 4.256 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.256 * [taylor]: Taking taylor expansion of PI in n 4.256 * [backup-simplify]: Simplify PI into PI 4.256 * [taylor]: Taking taylor expansion of n in n 4.256 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (/ PI 1) into PI 4.257 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.259 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.259 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.259 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.262 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.263 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.264 * [taylor]: Taking taylor expansion of 0.5 in k 4.264 * [backup-simplify]: Simplify 0.5 into 0.5 4.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.264 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.264 * [taylor]: Taking taylor expansion of k in k 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [taylor]: Taking taylor expansion of 1.0 in k 4.265 * [backup-simplify]: Simplify 1.0 into 1.0 4.265 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.265 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.265 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.265 * [taylor]: Taking taylor expansion of -2.0 in k 4.265 * [backup-simplify]: Simplify -2.0 into -2.0 4.265 * [taylor]: Taking taylor expansion of PI in k 4.265 * [backup-simplify]: Simplify PI into PI 4.265 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.266 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.266 * [taylor]: Taking taylor expansion of (log n) in k 4.267 * [taylor]: Taking taylor expansion of n in k 4.267 * [backup-simplify]: Simplify n into n 4.267 * [backup-simplify]: Simplify (log n) into (log n) 4.267 * [backup-simplify]: Simplify (+ 1 0) into 1 4.267 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.268 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.270 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.271 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.272 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.273 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.278 * [backup-simplify]: Simplify (+ 0 0) into 0 4.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.280 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.281 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.284 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.284 * [taylor]: Taking taylor expansion of 0 in k 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.293 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.295 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.298 * [taylor]: Taking taylor expansion of 0 in k 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.307 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.311 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.313 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.316 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.316 * [taylor]: Taking taylor expansion of 0 in k 4.316 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.318 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.318 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.318 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.318 * [taylor]: Taking taylor expansion of 1.0 in k 4.318 * [backup-simplify]: Simplify 1.0 into 1.0 4.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.318 * [taylor]: Taking taylor expansion of k in k 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [backup-simplify]: Simplify (sqrt 0) into 0 4.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.321 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.321 * [taylor]: Taking taylor expansion of 1.0 in k 4.321 * [backup-simplify]: Simplify 1.0 into 1.0 4.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.321 * [taylor]: Taking taylor expansion of k in k 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.322 * [backup-simplify]: Simplify (sqrt 0) into 0 4.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.324 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.324 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.326 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.332 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.332 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.345 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.345 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.347 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.347 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.347 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.347 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.347 * [taylor]: Taking taylor expansion of 1.0 in k 4.347 * [backup-simplify]: Simplify 1.0 into 1.0 4.347 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.347 * [taylor]: Taking taylor expansion of k in k 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (sqrt 0) into 0 4.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.349 * [taylor]: Taking taylor expansion of 1.0 in k 4.349 * [backup-simplify]: Simplify 1.0 into 1.0 4.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.349 * [taylor]: Taking taylor expansion of k in k 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (sqrt 0) into 0 4.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.352 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.354 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.357 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.359 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.359 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.363 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.363 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.365 * [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)))))))) 4.365 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.365 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.365 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.365 * [taylor]: Taking taylor expansion of 1.0 in k 4.365 * [backup-simplify]: Simplify 1.0 into 1.0 4.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.365 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.365 * [taylor]: Taking taylor expansion of -1 in k 4.365 * [backup-simplify]: Simplify -1 into -1 4.365 * [taylor]: Taking taylor expansion of k in k 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (/ -1 1) into -1 4.365 * [backup-simplify]: Simplify (sqrt 0) into 0 4.366 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.367 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.367 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.367 * [taylor]: Taking taylor expansion of 1.0 in k 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.367 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.367 * [taylor]: Taking taylor expansion of -1 in k 4.367 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of k in k 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ -1 1) into -1 4.367 * [backup-simplify]: Simplify (sqrt 0) into 0 4.368 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.368 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.368 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.372 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.378 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.379 * [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))))) 4.379 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.379 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.379 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.380 * [taylor]: Taking taylor expansion of 2.0 in n 4.380 * [backup-simplify]: Simplify 2.0 into 2.0 4.380 * [taylor]: Taking taylor expansion of (* n PI) in n 4.380 * [taylor]: Taking taylor expansion of n in n 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [taylor]: Taking taylor expansion of PI in n 4.380 * [backup-simplify]: Simplify PI into PI 4.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.380 * [taylor]: Taking taylor expansion of 2.0 in n 4.380 * [backup-simplify]: Simplify 2.0 into 2.0 4.380 * [taylor]: Taking taylor expansion of (* n PI) in n 4.380 * [taylor]: Taking taylor expansion of n in n 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [taylor]: Taking taylor expansion of PI in n 4.380 * [backup-simplify]: Simplify PI into PI 4.380 * [backup-simplify]: Simplify (* 0 PI) into 0 4.380 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.380 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.382 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.383 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.384 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.384 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.396 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.401 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.401 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.401 * [taylor]: Taking taylor expansion of 2.0 in n 4.401 * [backup-simplify]: Simplify 2.0 into 2.0 4.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.401 * [taylor]: Taking taylor expansion of PI in n 4.401 * [backup-simplify]: Simplify PI into PI 4.401 * [taylor]: Taking taylor expansion of n in n 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.402 * [backup-simplify]: Simplify (/ PI 1) into PI 4.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.402 * [taylor]: Taking taylor expansion of 2.0 in n 4.402 * [backup-simplify]: Simplify 2.0 into 2.0 4.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.402 * [taylor]: Taking taylor expansion of PI in n 4.402 * [backup-simplify]: Simplify PI into PI 4.402 * [taylor]: Taking taylor expansion of n in n 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (/ PI 1) into PI 4.403 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.404 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.406 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.406 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.411 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.413 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.421 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.421 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.421 * [taylor]: Taking taylor expansion of -2.0 in n 4.421 * [backup-simplify]: Simplify -2.0 into -2.0 4.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.421 * [taylor]: Taking taylor expansion of PI in n 4.421 * [backup-simplify]: Simplify PI into PI 4.421 * [taylor]: Taking taylor expansion of n in n 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [backup-simplify]: Simplify (/ PI 1) into PI 4.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.421 * [taylor]: Taking taylor expansion of -2.0 in n 4.421 * [backup-simplify]: Simplify -2.0 into -2.0 4.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.422 * [taylor]: Taking taylor expansion of PI in n 4.422 * [backup-simplify]: Simplify PI into PI 4.422 * [taylor]: Taking taylor expansion of n in n 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [backup-simplify]: Simplify (/ PI 1) into PI 4.423 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.423 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.425 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.427 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.433 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.437 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.438 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.438 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 4.438 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.438 * [taylor]: Taking taylor expansion of 1.0 in n 4.438 * [backup-simplify]: Simplify 1.0 into 1.0 4.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.438 * [taylor]: Taking taylor expansion of k in n 4.438 * [backup-simplify]: Simplify k into k 4.438 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.438 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.439 * [taylor]: Taking taylor expansion of 0.5 in n 4.439 * [backup-simplify]: Simplify 0.5 into 0.5 4.439 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.439 * [taylor]: Taking taylor expansion of 1.0 in n 4.439 * [backup-simplify]: Simplify 1.0 into 1.0 4.439 * [taylor]: Taking taylor expansion of k in n 4.439 * [backup-simplify]: Simplify k into k 4.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.439 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.439 * [taylor]: Taking taylor expansion of 2.0 in n 4.439 * [backup-simplify]: Simplify 2.0 into 2.0 4.439 * [taylor]: Taking taylor expansion of (* n PI) in n 4.439 * [taylor]: Taking taylor expansion of n in n 4.439 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify 1 into 1 4.439 * [taylor]: Taking taylor expansion of PI in n 4.439 * [backup-simplify]: Simplify PI into PI 4.439 * [backup-simplify]: Simplify (* 0 PI) into 0 4.440 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.441 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.442 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.442 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.442 * [backup-simplify]: Simplify (- k) into (- k) 4.442 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.442 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.443 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.444 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.445 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.445 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.445 * [taylor]: Taking taylor expansion of 1.0 in k 4.445 * [backup-simplify]: Simplify 1.0 into 1.0 4.445 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.445 * [taylor]: Taking taylor expansion of k in k 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (/ 1 1) into 1 4.445 * [backup-simplify]: Simplify (sqrt 0) into 0 4.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.446 * [taylor]: Taking taylor expansion of 0.5 in k 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.446 * [taylor]: Taking taylor expansion of 1.0 in k 4.446 * [backup-simplify]: Simplify 1.0 into 1.0 4.446 * [taylor]: Taking taylor expansion of k in k 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.447 * [taylor]: Taking taylor expansion of 2.0 in k 4.447 * [backup-simplify]: Simplify 2.0 into 2.0 4.447 * [taylor]: Taking taylor expansion of (* n PI) in k 4.447 * [taylor]: Taking taylor expansion of n in k 4.447 * [backup-simplify]: Simplify n into n 4.447 * [taylor]: Taking taylor expansion of PI in k 4.447 * [backup-simplify]: Simplify PI into PI 4.447 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.447 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.447 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.447 * [backup-simplify]: Simplify (- 0) into 0 4.447 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.448 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.448 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.448 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.448 * [taylor]: Taking taylor expansion of 1.0 in k 4.448 * [backup-simplify]: Simplify 1.0 into 1.0 4.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.448 * [taylor]: Taking taylor expansion of k in k 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [backup-simplify]: Simplify (sqrt 0) into 0 4.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.449 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.449 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.449 * [taylor]: Taking taylor expansion of 0.5 in k 4.449 * [backup-simplify]: Simplify 0.5 into 0.5 4.449 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.449 * [taylor]: Taking taylor expansion of 1.0 in k 4.449 * [backup-simplify]: Simplify 1.0 into 1.0 4.450 * [taylor]: Taking taylor expansion of k in k 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 1 into 1 4.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.450 * [taylor]: Taking taylor expansion of 2.0 in k 4.450 * [backup-simplify]: Simplify 2.0 into 2.0 4.450 * [taylor]: Taking taylor expansion of (* n PI) in k 4.450 * [taylor]: Taking taylor expansion of n in k 4.450 * [backup-simplify]: Simplify n into n 4.450 * [taylor]: Taking taylor expansion of PI in k 4.450 * [backup-simplify]: Simplify PI into PI 4.450 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.450 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.450 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.450 * [backup-simplify]: Simplify (- 0) into 0 4.450 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.451 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.451 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.451 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.451 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.451 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.451 * [taylor]: Taking taylor expansion of 0 in n 4.451 * [backup-simplify]: Simplify 0 into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.452 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.453 * [backup-simplify]: Simplify (- 1) into -1 4.453 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.454 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.455 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.456 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.457 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.457 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.457 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.457 * [taylor]: Taking taylor expansion of +nan.0 in n 4.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.458 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.458 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.458 * [taylor]: Taking taylor expansion of 0.5 in n 4.458 * [backup-simplify]: Simplify 0.5 into 0.5 4.458 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.458 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.458 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.458 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.458 * [taylor]: Taking taylor expansion of 1.0 in n 4.458 * [backup-simplify]: Simplify 1.0 into 1.0 4.458 * [taylor]: Taking taylor expansion of (log PI) in n 4.458 * [taylor]: Taking taylor expansion of PI in n 4.458 * [backup-simplify]: Simplify PI into PI 4.458 * [backup-simplify]: Simplify (log PI) into (log PI) 4.459 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.460 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.460 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.460 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.460 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.460 * [taylor]: Taking taylor expansion of 1.0 in n 4.460 * [backup-simplify]: Simplify 1.0 into 1.0 4.460 * [taylor]: Taking taylor expansion of (log n) in n 4.460 * [taylor]: Taking taylor expansion of n in n 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (log 1) into 0 4.461 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.461 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.461 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.461 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.461 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.461 * [taylor]: Taking taylor expansion of 1.0 in n 4.461 * [backup-simplify]: Simplify 1.0 into 1.0 4.461 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.461 * [taylor]: Taking taylor expansion of 2.0 in n 4.461 * [backup-simplify]: Simplify 2.0 into 2.0 4.465 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.465 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.466 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.467 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.468 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.470 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.471 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.473 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.475 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.476 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.477 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.479 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.481 * [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 4.482 * [backup-simplify]: Simplify (- 0) into 0 4.482 * [backup-simplify]: Simplify (+ 0 0) into 0 4.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.486 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.493 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.498 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.499 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.499 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.499 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.499 * [taylor]: Taking taylor expansion of +nan.0 in n 4.499 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.499 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.499 * [taylor]: Taking taylor expansion of 0.5 in n 4.499 * [backup-simplify]: Simplify 0.5 into 0.5 4.499 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.499 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.499 * [taylor]: Taking taylor expansion of 1.0 in n 4.499 * [backup-simplify]: Simplify 1.0 into 1.0 4.499 * [taylor]: Taking taylor expansion of (log PI) in n 4.499 * [taylor]: Taking taylor expansion of PI in n 4.499 * [backup-simplify]: Simplify PI into PI 4.500 * [backup-simplify]: Simplify (log PI) into (log PI) 4.501 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.503 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.503 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.503 * [taylor]: Taking taylor expansion of 1.0 in n 4.503 * [backup-simplify]: Simplify 1.0 into 1.0 4.503 * [taylor]: Taking taylor expansion of (log n) in n 4.503 * [taylor]: Taking taylor expansion of n in n 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (log 1) into 0 4.504 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.504 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.504 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.504 * [taylor]: Taking taylor expansion of 1.0 in n 4.504 * [backup-simplify]: Simplify 1.0 into 1.0 4.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.504 * [taylor]: Taking taylor expansion of 2.0 in n 4.504 * [backup-simplify]: Simplify 2.0 into 2.0 4.505 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.506 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.507 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.508 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.510 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.512 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.513 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.515 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.515 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.515 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.515 * [taylor]: Taking taylor expansion of +nan.0 in n 4.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.515 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.516 * [taylor]: Taking taylor expansion of 0.5 in n 4.516 * [backup-simplify]: Simplify 0.5 into 0.5 4.516 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.516 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.516 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.516 * [taylor]: Taking taylor expansion of 1.0 in n 4.516 * [backup-simplify]: Simplify 1.0 into 1.0 4.516 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.516 * [taylor]: Taking taylor expansion of 2.0 in n 4.516 * [backup-simplify]: Simplify 2.0 into 2.0 4.516 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.518 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.519 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.519 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.519 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.519 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.520 * [taylor]: Taking taylor expansion of 1.0 in n 4.520 * [backup-simplify]: Simplify 1.0 into 1.0 4.520 * [taylor]: Taking taylor expansion of (log PI) in n 4.520 * [taylor]: Taking taylor expansion of PI in n 4.520 * [backup-simplify]: Simplify PI into PI 4.520 * [backup-simplify]: Simplify (log PI) into (log PI) 4.521 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.523 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.523 * [taylor]: Taking taylor expansion of 1.0 in n 4.523 * [backup-simplify]: Simplify 1.0 into 1.0 4.523 * [taylor]: Taking taylor expansion of (log n) in n 4.523 * [taylor]: Taking taylor expansion of n in n 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 1 into 1 4.524 * [backup-simplify]: Simplify (log 1) into 0 4.524 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.524 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.524 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.525 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.526 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.528 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.529 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.530 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.530 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.531 * [taylor]: Taking taylor expansion of 2.0 in n 4.531 * [backup-simplify]: Simplify 2.0 into 2.0 4.531 * [taylor]: Taking taylor expansion of (* n PI) in n 4.531 * [taylor]: Taking taylor expansion of n in n 4.531 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify 1 into 1 4.531 * [taylor]: Taking taylor expansion of PI in n 4.531 * [backup-simplify]: Simplify PI into PI 4.531 * [backup-simplify]: Simplify (* 0 PI) into 0 4.532 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.535 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.536 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.538 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.540 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.542 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.545 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.548 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 4.553 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.561 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.566 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.569 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.571 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.573 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.575 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.576 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.577 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.579 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.580 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.581 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 4.582 * [backup-simplify]: Simplify (- 0) into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.582 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.585 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 4.585 * [backup-simplify]: Simplify (- 0) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.586 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.588 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.594 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.606 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.606 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.606 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.606 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.606 * [taylor]: Taking taylor expansion of +nan.0 in n 4.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.606 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.606 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.606 * [taylor]: Taking taylor expansion of 0.5 in n 4.606 * [backup-simplify]: Simplify 0.5 into 0.5 4.606 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.606 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.606 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.607 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.607 * [taylor]: Taking taylor expansion of 1.0 in n 4.607 * [backup-simplify]: Simplify 1.0 into 1.0 4.607 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.607 * [taylor]: Taking taylor expansion of 2.0 in n 4.607 * [backup-simplify]: Simplify 2.0 into 2.0 4.607 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.608 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.610 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.610 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.610 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.610 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.610 * [taylor]: Taking taylor expansion of 1.0 in n 4.610 * [backup-simplify]: Simplify 1.0 into 1.0 4.610 * [taylor]: Taking taylor expansion of (log n) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (log 1) into 0 4.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.611 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.611 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.611 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.611 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.611 * [taylor]: Taking taylor expansion of 1.0 in n 4.611 * [backup-simplify]: Simplify 1.0 into 1.0 4.611 * [taylor]: Taking taylor expansion of (log PI) in n 4.611 * [taylor]: Taking taylor expansion of PI in n 4.611 * [backup-simplify]: Simplify PI into PI 4.612 * [backup-simplify]: Simplify (log PI) into (log PI) 4.613 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.614 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.615 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.616 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.617 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.619 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.620 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.620 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.620 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.620 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.620 * [taylor]: Taking taylor expansion of +nan.0 in n 4.620 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.620 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.620 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.620 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.620 * [taylor]: Taking taylor expansion of 0.5 in n 4.620 * [backup-simplify]: Simplify 0.5 into 0.5 4.620 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.620 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.620 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.620 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.620 * [taylor]: Taking taylor expansion of 1.0 in n 4.620 * [backup-simplify]: Simplify 1.0 into 1.0 4.620 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.620 * [taylor]: Taking taylor expansion of 2.0 in n 4.620 * [backup-simplify]: Simplify 2.0 into 2.0 4.620 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.621 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.622 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.622 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.622 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.622 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.622 * [taylor]: Taking taylor expansion of 1.0 in n 4.622 * [backup-simplify]: Simplify 1.0 into 1.0 4.622 * [taylor]: Taking taylor expansion of (log PI) in n 4.622 * [taylor]: Taking taylor expansion of PI in n 4.622 * [backup-simplify]: Simplify PI into PI 4.623 * [backup-simplify]: Simplify (log PI) into (log PI) 4.623 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.624 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.624 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.624 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.624 * [taylor]: Taking taylor expansion of 1.0 in n 4.624 * [backup-simplify]: Simplify 1.0 into 1.0 4.624 * [taylor]: Taking taylor expansion of (log n) in n 4.624 * [taylor]: Taking taylor expansion of n in n 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (log 1) into 0 4.625 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.625 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.625 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.625 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.626 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.627 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.628 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.629 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.629 * [taylor]: Taking taylor expansion of 2.0 in n 4.629 * [backup-simplify]: Simplify 2.0 into 2.0 4.629 * [taylor]: Taking taylor expansion of (* n PI) in n 4.629 * [taylor]: Taking taylor expansion of n in n 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [taylor]: Taking taylor expansion of PI in n 4.629 * [backup-simplify]: Simplify PI into PI 4.629 * [backup-simplify]: Simplify (* 0 PI) into 0 4.629 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.631 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.632 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.632 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 4.632 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.632 * [taylor]: Taking taylor expansion of +nan.0 in n 4.632 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.632 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.632 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.632 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.632 * [taylor]: Taking taylor expansion of 0.5 in n 4.632 * [backup-simplify]: Simplify 0.5 into 0.5 4.632 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.632 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.632 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.633 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.633 * [taylor]: Taking taylor expansion of 1.0 in n 4.633 * [backup-simplify]: Simplify 1.0 into 1.0 4.633 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.633 * [taylor]: Taking taylor expansion of 2.0 in n 4.633 * [backup-simplify]: Simplify 2.0 into 2.0 4.633 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.633 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.634 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.634 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.634 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.635 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.635 * [taylor]: Taking taylor expansion of 1.0 in n 4.635 * [backup-simplify]: Simplify 1.0 into 1.0 4.635 * [taylor]: Taking taylor expansion of (log PI) in n 4.635 * [taylor]: Taking taylor expansion of PI in n 4.635 * [backup-simplify]: Simplify PI into PI 4.635 * [backup-simplify]: Simplify (log PI) into (log PI) 4.636 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.637 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.637 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.637 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.637 * [taylor]: Taking taylor expansion of 1.0 in n 4.637 * [backup-simplify]: Simplify 1.0 into 1.0 4.637 * [taylor]: Taking taylor expansion of (log n) in n 4.637 * [taylor]: Taking taylor expansion of n in n 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (log 1) into 0 4.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.637 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.637 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.638 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.639 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.640 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.641 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.642 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.642 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.642 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.642 * [taylor]: Taking taylor expansion of 2.0 in n 4.642 * [backup-simplify]: Simplify 2.0 into 2.0 4.642 * [taylor]: Taking taylor expansion of (* n PI) in n 4.642 * [taylor]: Taking taylor expansion of n in n 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [taylor]: Taking taylor expansion of PI in n 4.642 * [backup-simplify]: Simplify PI into PI 4.642 * [backup-simplify]: Simplify (* 0 PI) into 0 4.643 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.643 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.644 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.645 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.647 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.651 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.654 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.655 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.657 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.659 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.662 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.664 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.667 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.679 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 4.688 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 4.697 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.710 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.723 * [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)))))))))))))) 4.741 * [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)))))))))))))))))))))) 4.742 * [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)))))) 4.742 * [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 4.742 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [backup-simplify]: Simplify 1.0 into 1.0 4.742 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.742 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.742 * [taylor]: Taking taylor expansion of k in n 4.742 * [backup-simplify]: Simplify k into k 4.742 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.742 * [taylor]: Taking taylor expansion of 0.5 in n 4.742 * [backup-simplify]: Simplify 0.5 into 0.5 4.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [backup-simplify]: Simplify 1.0 into 1.0 4.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.742 * [taylor]: Taking taylor expansion of k in n 4.742 * [backup-simplify]: Simplify k into k 4.743 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.743 * [taylor]: Taking taylor expansion of 2.0 in n 4.743 * [backup-simplify]: Simplify 2.0 into 2.0 4.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.743 * [taylor]: Taking taylor expansion of PI in n 4.743 * [backup-simplify]: Simplify PI into PI 4.743 * [taylor]: Taking taylor expansion of n in n 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify (/ PI 1) into PI 4.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.744 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.744 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.744 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.744 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.746 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.746 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.747 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.747 * [taylor]: Taking taylor expansion of 1.0 in k 4.747 * [backup-simplify]: Simplify 1.0 into 1.0 4.747 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.747 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.747 * [taylor]: Taking taylor expansion of k in k 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (sqrt 0) into 0 4.748 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.749 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.749 * [taylor]: Taking taylor expansion of 0.5 in k 4.749 * [backup-simplify]: Simplify 0.5 into 0.5 4.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.749 * [taylor]: Taking taylor expansion of 1.0 in k 4.749 * [backup-simplify]: Simplify 1.0 into 1.0 4.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.749 * [taylor]: Taking taylor expansion of k in k 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 1 into 1 4.749 * [backup-simplify]: Simplify (/ 1 1) into 1 4.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.749 * [taylor]: Taking taylor expansion of 2.0 in k 4.749 * [backup-simplify]: Simplify 2.0 into 2.0 4.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.749 * [taylor]: Taking taylor expansion of PI in k 4.749 * [backup-simplify]: Simplify PI into PI 4.749 * [taylor]: Taking taylor expansion of n in k 4.749 * [backup-simplify]: Simplify n into n 4.750 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.750 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.750 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.750 * [backup-simplify]: Simplify (- 1) into -1 4.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.751 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.751 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.751 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.751 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.751 * [taylor]: Taking taylor expansion of 1.0 in k 4.751 * [backup-simplify]: Simplify 1.0 into 1.0 4.751 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.751 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.752 * [taylor]: Taking taylor expansion of k in k 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (sqrt 0) into 0 4.753 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.753 * [taylor]: Taking taylor expansion of 0.5 in k 4.753 * [backup-simplify]: Simplify 0.5 into 0.5 4.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.753 * [taylor]: Taking taylor expansion of 1.0 in k 4.754 * [backup-simplify]: Simplify 1.0 into 1.0 4.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.754 * [taylor]: Taking taylor expansion of k in k 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ 1 1) into 1 4.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.754 * [taylor]: Taking taylor expansion of 2.0 in k 4.754 * [backup-simplify]: Simplify 2.0 into 2.0 4.754 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.754 * [taylor]: Taking taylor expansion of PI in k 4.754 * [backup-simplify]: Simplify PI into PI 4.754 * [taylor]: Taking taylor expansion of n in k 4.754 * [backup-simplify]: Simplify n into n 4.754 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.754 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.755 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.755 * [backup-simplify]: Simplify (- 1) into -1 4.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.756 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.756 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.756 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.757 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.757 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.757 * [taylor]: Taking taylor expansion of 0 in n 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 0 into 0 4.758 * [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))))))) 4.759 * [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))))))) 4.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.759 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.759 * [taylor]: Taking taylor expansion of +nan.0 in n 4.759 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.759 * [taylor]: Taking taylor expansion of 0.5 in n 4.759 * [backup-simplify]: Simplify 0.5 into 0.5 4.759 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.759 * [taylor]: Taking taylor expansion of 2.0 in n 4.759 * [backup-simplify]: Simplify 2.0 into 2.0 4.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.759 * [taylor]: Taking taylor expansion of PI in n 4.759 * [backup-simplify]: Simplify PI into PI 4.759 * [taylor]: Taking taylor expansion of n in n 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.760 * [backup-simplify]: Simplify (/ PI 1) into PI 4.760 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.761 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.761 * [taylor]: Taking taylor expansion of 1.0 in n 4.761 * [backup-simplify]: Simplify 1.0 into 1.0 4.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.761 * [taylor]: Taking taylor expansion of k in n 4.761 * [backup-simplify]: Simplify k into k 4.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.763 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.763 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.764 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.766 * [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)))) 4.767 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.768 * [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)))))) 4.770 * [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))))))) 4.771 * [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))))))) 4.771 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.775 * [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))))))) 4.776 * [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))))))) 4.776 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.776 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.776 * [taylor]: Taking taylor expansion of +nan.0 in n 4.776 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.777 * [taylor]: Taking taylor expansion of 0.5 in n 4.777 * [backup-simplify]: Simplify 0.5 into 0.5 4.777 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.777 * [taylor]: Taking taylor expansion of 2.0 in n 4.777 * [backup-simplify]: Simplify 2.0 into 2.0 4.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.777 * [taylor]: Taking taylor expansion of PI in n 4.777 * [backup-simplify]: Simplify PI into PI 4.777 * [taylor]: Taking taylor expansion of n in n 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (/ PI 1) into PI 4.778 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.779 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.779 * [taylor]: Taking taylor expansion of 1.0 in n 4.779 * [backup-simplify]: Simplify 1.0 into 1.0 4.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.779 * [taylor]: Taking taylor expansion of k in n 4.779 * [backup-simplify]: Simplify k into k 4.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.781 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.781 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.782 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.783 * [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)))) 4.784 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.785 * [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)))))) 4.786 * [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))))))) 4.786 * [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))))))) 4.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.788 * [backup-simplify]: Simplify (- 0) into 0 4.788 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.790 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.793 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.794 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.794 * [backup-simplify]: Simplify (- 0) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.797 * [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))))))) 4.798 * [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))))))) 4.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.798 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.798 * [taylor]: Taking taylor expansion of +nan.0 in n 4.798 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.798 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.798 * [taylor]: Taking taylor expansion of 0.5 in n 4.798 * [backup-simplify]: Simplify 0.5 into 0.5 4.798 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.798 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.798 * [taylor]: Taking taylor expansion of 2.0 in n 4.798 * [backup-simplify]: Simplify 2.0 into 2.0 4.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.798 * [taylor]: Taking taylor expansion of PI in n 4.798 * [backup-simplify]: Simplify PI into PI 4.798 * [taylor]: Taking taylor expansion of n in n 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.799 * [backup-simplify]: Simplify (/ PI 1) into PI 4.799 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.800 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.800 * [backup-simplify]: Simplify 1.0 into 1.0 4.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.800 * [taylor]: Taking taylor expansion of k in n 4.800 * [backup-simplify]: Simplify k into k 4.800 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.801 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.801 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.801 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.802 * [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)))) 4.803 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.804 * [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)))))) 4.804 * [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))))))) 4.805 * [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))))))) 4.808 * [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)))))))) 4.809 * [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)))) 4.809 * [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 4.809 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.809 * [taylor]: Taking taylor expansion of 1.0 in n 4.809 * [backup-simplify]: Simplify 1.0 into 1.0 4.809 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.809 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.809 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.809 * [taylor]: Taking taylor expansion of 0.5 in n 4.809 * [backup-simplify]: Simplify 0.5 into 0.5 4.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.809 * [taylor]: Taking taylor expansion of k in n 4.809 * [backup-simplify]: Simplify k into k 4.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.809 * [taylor]: Taking taylor expansion of 1.0 in n 4.809 * [backup-simplify]: Simplify 1.0 into 1.0 4.809 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.809 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.809 * [taylor]: Taking taylor expansion of -2.0 in n 4.809 * [backup-simplify]: Simplify -2.0 into -2.0 4.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.809 * [taylor]: Taking taylor expansion of PI in n 4.809 * [backup-simplify]: Simplify PI into PI 4.809 * [taylor]: Taking taylor expansion of n in n 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (/ PI 1) into PI 4.810 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.810 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.810 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.811 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.813 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.814 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.815 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.815 * [taylor]: Taking taylor expansion of -1 in n 4.815 * [backup-simplify]: Simplify -1 into -1 4.815 * [taylor]: Taking taylor expansion of k in n 4.815 * [backup-simplify]: Simplify k into k 4.815 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.815 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.815 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.816 * [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))) 4.816 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.817 * [taylor]: Taking taylor expansion of 1.0 in k 4.817 * [backup-simplify]: Simplify 1.0 into 1.0 4.817 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.817 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.817 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.817 * [taylor]: Taking taylor expansion of 0.5 in k 4.817 * [backup-simplify]: Simplify 0.5 into 0.5 4.817 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.817 * [taylor]: Taking taylor expansion of k in k 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.817 * [taylor]: Taking taylor expansion of 1.0 in k 4.817 * [backup-simplify]: Simplify 1.0 into 1.0 4.817 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.817 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.817 * [taylor]: Taking taylor expansion of -2.0 in k 4.818 * [backup-simplify]: Simplify -2.0 into -2.0 4.818 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.818 * [taylor]: Taking taylor expansion of PI in k 4.818 * [backup-simplify]: Simplify PI into PI 4.818 * [taylor]: Taking taylor expansion of n in k 4.818 * [backup-simplify]: Simplify n into n 4.818 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.818 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.818 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.818 * [backup-simplify]: Simplify (+ 1 0) into 1 4.819 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.819 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.819 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.819 * [taylor]: Taking taylor expansion of -1 in k 4.819 * [backup-simplify]: Simplify -1 into -1 4.819 * [taylor]: Taking taylor expansion of k in k 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (/ -1 1) into -1 4.820 * [backup-simplify]: Simplify (sqrt 0) into 0 4.822 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.822 * [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))))))) 4.822 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.822 * [taylor]: Taking taylor expansion of 1.0 in k 4.822 * [backup-simplify]: Simplify 1.0 into 1.0 4.822 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.822 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.822 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.822 * [taylor]: Taking taylor expansion of 0.5 in k 4.822 * [backup-simplify]: Simplify 0.5 into 0.5 4.822 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.822 * [taylor]: Taking taylor expansion of k in k 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.823 * [backup-simplify]: Simplify (/ 1 1) into 1 4.823 * [taylor]: Taking taylor expansion of 1.0 in k 4.823 * [backup-simplify]: Simplify 1.0 into 1.0 4.823 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.823 * [taylor]: Taking taylor expansion of -2.0 in k 4.823 * [backup-simplify]: Simplify -2.0 into -2.0 4.823 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.823 * [taylor]: Taking taylor expansion of PI in k 4.823 * [backup-simplify]: Simplify PI into PI 4.823 * [taylor]: Taking taylor expansion of n in k 4.823 * [backup-simplify]: Simplify n into n 4.823 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.823 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.823 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.824 * [backup-simplify]: Simplify (+ 1 0) into 1 4.824 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.824 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.825 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.825 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.825 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.825 * [taylor]: Taking taylor expansion of -1 in k 4.825 * [backup-simplify]: Simplify -1 into -1 4.825 * [taylor]: Taking taylor expansion of k in k 4.825 * [backup-simplify]: Simplify 0 into 0 4.825 * [backup-simplify]: Simplify 1 into 1 4.825 * [backup-simplify]: Simplify (/ -1 1) into -1 4.826 * [backup-simplify]: Simplify (sqrt 0) into 0 4.827 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.827 * [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))))))) 4.828 * [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))))))) 4.828 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.828 * [taylor]: Taking taylor expansion of +nan.0 in n 4.828 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.828 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.828 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.828 * [taylor]: Taking taylor expansion of 0.5 in n 4.828 * [backup-simplify]: Simplify 0.5 into 0.5 4.828 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.828 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.828 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.828 * [taylor]: Taking taylor expansion of k in n 4.828 * [backup-simplify]: Simplify k into k 4.828 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.828 * [taylor]: Taking taylor expansion of 1.0 in n 4.828 * [backup-simplify]: Simplify 1.0 into 1.0 4.828 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.828 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.828 * [taylor]: Taking taylor expansion of -2.0 in n 4.828 * [backup-simplify]: Simplify -2.0 into -2.0 4.828 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.828 * [taylor]: Taking taylor expansion of PI in n 4.828 * [backup-simplify]: Simplify PI into PI 4.829 * [taylor]: Taking taylor expansion of n in n 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (/ PI 1) into PI 4.830 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.831 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.831 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.834 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.835 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.836 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.838 * [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)))))) 4.839 * [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)))))) 4.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.841 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.842 * [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)))))))) 4.843 * [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)))))))) 4.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.843 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.843 * [taylor]: Taking taylor expansion of +nan.0 in n 4.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.843 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.843 * [taylor]: Taking taylor expansion of 0.5 in n 4.843 * [backup-simplify]: Simplify 0.5 into 0.5 4.843 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.843 * [taylor]: Taking taylor expansion of k in n 4.843 * [backup-simplify]: Simplify k into k 4.843 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.843 * [taylor]: Taking taylor expansion of 1.0 in n 4.843 * [backup-simplify]: Simplify 1.0 into 1.0 4.843 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.843 * [taylor]: Taking taylor expansion of -2.0 in n 4.843 * [backup-simplify]: Simplify -2.0 into -2.0 4.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.843 * [taylor]: Taking taylor expansion of PI in n 4.843 * [backup-simplify]: Simplify PI into PI 4.843 * [taylor]: Taking taylor expansion of n in n 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ PI 1) into PI 4.848 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.849 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.851 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.851 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.852 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.853 * [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)))))) 4.854 * [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))))))) 4.855 * [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))))))) 4.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.856 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.857 * [backup-simplify]: Simplify (+ 0 0) into 0 4.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.859 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.861 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.862 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.866 * [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)))))))) 4.866 * [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)))))))) 4.866 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.866 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.866 * [taylor]: Taking taylor expansion of +nan.0 in n 4.866 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.867 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.867 * [taylor]: Taking taylor expansion of 0.5 in n 4.867 * [backup-simplify]: Simplify 0.5 into 0.5 4.867 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.867 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.867 * [taylor]: Taking taylor expansion of k in n 4.867 * [backup-simplify]: Simplify k into k 4.867 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.867 * [taylor]: Taking taylor expansion of 1.0 in n 4.867 * [backup-simplify]: Simplify 1.0 into 1.0 4.867 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.867 * [taylor]: Taking taylor expansion of -2.0 in n 4.867 * [backup-simplify]: Simplify -2.0 into -2.0 4.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.867 * [taylor]: Taking taylor expansion of PI in n 4.867 * [backup-simplify]: Simplify PI into PI 4.867 * [taylor]: Taking taylor expansion of n in n 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.867 * [backup-simplify]: Simplify (/ PI 1) into PI 4.868 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.868 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.868 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.870 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.871 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.871 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.872 * [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)))))) 4.873 * [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))))))) 4.874 * [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))))))) 4.878 * [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)))))))))))) 4.878 * * * [progress]: simplifying candidates 4.884 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.894 * * [simplify]: Extracting # 0 : cost 0 4.894 * * [simplify]: Extracting # 1 : cost 0 4.895 * * [simplify]: Extracting # 2 : cost 0 4.896 * * [simplify]: Extracting # 3 : cost 0 4.897 * * [simplify]: Extracting # 4 : cost 0 4.897 * * [simplify]: Extracting # 5 : cost 0 4.898 * * [simplify]: Extracting # 6 : cost 0 4.899 * * [simplify]: Extracting # 7 : cost 0 4.900 * * [simplify]: Extracting # 8 : cost 0 4.901 * * [simplify]: Extracting # 9 : cost 0 4.902 * * [simplify]: Extracting # 10 : cost 0 4.903 * * [simplify]: Extracting # 11 : cost 0 4.904 * * [simplify]: Extracting # 12 : cost 0 4.905 * * [simplify]: Extracting # 13 : cost 0 4.907 * * [simplify]: Extracting # 14 : cost 0 4.908 * * [simplify]: Extracting # 15 : cost 0 4.909 * * [simplify]: Extracting # 16 : cost 0 4.910 * * [simplify]: Extracting # 17 : cost 0 4.911 * * [simplify]: Extracting # 18 : cost 0 4.912 * * [simplify]: Extracting # 19 : cost 0 4.913 * * [simplify]: Extracting # 20 : cost 0 4.914 * * [simplify]: Extracting # 21 : cost 0 4.916 * * [simplify]: Extracting # 22 : cost 0 4.917 * * [simplify]: Extracting # 23 : cost 0 4.918 * * [simplify]: Extracting # 24 : cost 0 4.919 * * [simplify]: Extracting # 25 : cost 0 4.920 * * [simplify]: Extracting # 26 : cost 0 4.921 * * [simplify]: Extracting # 27 : cost 0 4.922 * * [simplify]: Extracting # 28 : cost 0 4.923 * * [simplify]: Extracting # 29 : cost 0 4.925 * * [simplify]: Extracting # 30 : cost 0 4.926 * * [simplify]: Extracting # 31 : cost 0 4.927 * * [simplify]: Extracting # 32 : cost 0 4.928 * * [simplify]: Extracting # 33 : cost 0 4.929 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.092 * * [simplify]: Extracting # 0 : cost 0 5.093 * * [simplify]: Extracting # 1 : cost 0 5.095 * * [simplify]: Extracting # 2 : cost 0 5.096 * * [simplify]: Extracting # 3 : cost 0 5.097 * * [simplify]: Extracting # 4 : cost 0 5.099 * * [simplify]: Extracting # 5 : cost 0 5.100 * * [simplify]: Extracting # 6 : cost 0 5.101 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.654 * * [simplify]: Extracting # 0 : cost 0 5.661 * * [simplify]: Extracting # 1 : cost 0 5.675 * * [simplify]: Extracting # 2 : cost 0 5.682 * * [simplify]: Extracting # 3 : cost 0 5.690 * * [simplify]: Extracting # 4 : cost 0 5.698 * * [simplify]: Extracting # 5 : cost 0 5.706 * * [simplify]: iteration 2 : 3051 enodes (cost 2471 ) 6.995 * * [simplify]: Extracting # 0 : cost 0 7.008 * * [simplify]: Extracting # 1 : cost 0 7.020 * * [simplify]: Extracting # 2 : cost 0 7.026 * * [simplify]: Extracting # 3 : cost 0 7.032 * * [simplify]: Extracting # 4 : cost 0 7.039 * * [simplify]: iteration done: 5001 enodes (cost 2471 ) 7.040 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI (* 2.0 n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (/ (pow 1.0 3) k) (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) +nan.0)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (- +nan.0) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 7.041 * * * [progress]: adding candidates to table 7.715 * * [progress]: iteration 2 / 4 7.715 * * * [progress]: picking best candidate 7.764 * * * * [pick]: Picked # 7.765 * * * [progress]: localizing error 7.786 * * * [progress]: generating rewritten candidates 7.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.798 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 7.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.871 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.886 * * * [progress]: generating series expansions 7.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 7.887 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 7.887 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 7.887 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.887 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.888 * [taylor]: Taking taylor expansion of 0.5 in k 7.888 * [backup-simplify]: Simplify 0.5 into 0.5 7.888 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.888 * [taylor]: Taking taylor expansion of 1.0 in k 7.888 * [backup-simplify]: Simplify 1.0 into 1.0 7.888 * [taylor]: Taking taylor expansion of k in k 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 1 into 1 7.888 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.888 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.888 * [taylor]: Taking taylor expansion of 2.0 in k 7.888 * [backup-simplify]: Simplify 2.0 into 2.0 7.888 * [taylor]: Taking taylor expansion of PI in k 7.888 * [backup-simplify]: Simplify PI into PI 7.888 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.890 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.890 * [backup-simplify]: Simplify (- 0) into 0 7.890 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.891 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.893 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.896 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.896 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.896 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.896 * [taylor]: Taking taylor expansion of 0.5 in k 7.896 * [backup-simplify]: Simplify 0.5 into 0.5 7.896 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.896 * [taylor]: Taking taylor expansion of 1.0 in k 7.896 * [backup-simplify]: Simplify 1.0 into 1.0 7.896 * [taylor]: Taking taylor expansion of k in k 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.896 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.896 * [taylor]: Taking taylor expansion of 2.0 in k 7.896 * [backup-simplify]: Simplify 2.0 into 2.0 7.896 * [taylor]: Taking taylor expansion of PI in k 7.896 * [backup-simplify]: Simplify PI into PI 7.897 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.898 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.898 * [backup-simplify]: Simplify (- 0) into 0 7.899 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.899 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.901 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.904 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.905 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 7.906 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.908 * [backup-simplify]: Simplify (- 1) into -1 7.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.911 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.935 * [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))) 7.943 * [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))) 7.944 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.948 * [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 7.948 * [backup-simplify]: Simplify (- 0) into 0 7.949 * [backup-simplify]: Simplify (+ 0 0) into 0 7.950 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.952 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.962 * [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))) 7.967 * [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))) 7.978 * [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)))) 7.979 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 7.979 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 7.979 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.979 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.979 * [taylor]: Taking taylor expansion of 0.5 in k 7.979 * [backup-simplify]: Simplify 0.5 into 0.5 7.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.979 * [taylor]: Taking taylor expansion of 1.0 in k 7.979 * [backup-simplify]: Simplify 1.0 into 1.0 7.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.979 * [taylor]: Taking taylor expansion of k in k 7.979 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (/ 1 1) into 1 7.979 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.979 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.979 * [taylor]: Taking taylor expansion of 2.0 in k 7.979 * [backup-simplify]: Simplify 2.0 into 2.0 7.979 * [taylor]: Taking taylor expansion of PI in k 7.979 * [backup-simplify]: Simplify PI into PI 7.979 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.980 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.980 * [backup-simplify]: Simplify (- 1) into -1 7.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.981 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.982 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.983 * [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))))) 7.983 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.983 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.983 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.983 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.983 * [taylor]: Taking taylor expansion of 0.5 in k 7.983 * [backup-simplify]: Simplify 0.5 into 0.5 7.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.983 * [taylor]: Taking taylor expansion of 1.0 in k 7.983 * [backup-simplify]: Simplify 1.0 into 1.0 7.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.983 * [taylor]: Taking taylor expansion of k in k 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.983 * [backup-simplify]: Simplify (/ 1 1) into 1 7.983 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.983 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.983 * [taylor]: Taking taylor expansion of 2.0 in k 7.983 * [backup-simplify]: Simplify 2.0 into 2.0 7.983 * [taylor]: Taking taylor expansion of PI in k 7.983 * [backup-simplify]: Simplify PI into PI 7.984 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.984 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.985 * [backup-simplify]: Simplify (- 1) into -1 7.985 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.985 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.986 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.987 * [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))))) 7.988 * [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))))) 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.990 * [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))))) 7.991 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 7.991 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 7.991 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.991 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.991 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.991 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.991 * [taylor]: Taking taylor expansion of 0.5 in k 7.991 * [backup-simplify]: Simplify 0.5 into 0.5 7.991 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.991 * [taylor]: Taking taylor expansion of k in k 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 1 into 1 7.991 * [backup-simplify]: Simplify (/ 1 1) into 1 7.991 * [taylor]: Taking taylor expansion of 1.0 in k 7.992 * [backup-simplify]: Simplify 1.0 into 1.0 7.992 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.992 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.992 * [taylor]: Taking taylor expansion of 2.0 in k 7.992 * [backup-simplify]: Simplify 2.0 into 2.0 7.992 * [taylor]: Taking taylor expansion of PI in k 7.992 * [backup-simplify]: Simplify PI into PI 7.992 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.993 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.994 * [backup-simplify]: Simplify (+ 1 0) into 1 7.994 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.996 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.998 * [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)))) 7.998 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.998 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.998 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.998 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.998 * [taylor]: Taking taylor expansion of 0.5 in k 7.998 * [backup-simplify]: Simplify 0.5 into 0.5 7.998 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.998 * [taylor]: Taking taylor expansion of k in k 7.998 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify 1 into 1 7.998 * [backup-simplify]: Simplify (/ 1 1) into 1 7.998 * [taylor]: Taking taylor expansion of 1.0 in k 7.999 * [backup-simplify]: Simplify 1.0 into 1.0 7.999 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.999 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.999 * [taylor]: Taking taylor expansion of 2.0 in k 7.999 * [backup-simplify]: Simplify 2.0 into 2.0 7.999 * [taylor]: Taking taylor expansion of PI in k 7.999 * [backup-simplify]: Simplify PI into PI 7.999 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.000 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.001 * [backup-simplify]: Simplify (+ 1 0) into 1 8.001 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.003 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.004 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.006 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 0 into 0 8.007 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.007 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.007 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.007 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.007 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.008 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.008 * [taylor]: Taking taylor expansion of 0.5 in k 8.008 * [backup-simplify]: Simplify 0.5 into 0.5 8.008 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.008 * [taylor]: Taking taylor expansion of 1.0 in k 8.008 * [backup-simplify]: Simplify 1.0 into 1.0 8.008 * [taylor]: Taking taylor expansion of k in k 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.008 * [taylor]: Taking taylor expansion of (log n) in k 8.008 * [taylor]: Taking taylor expansion of n in k 8.008 * [backup-simplify]: Simplify n into n 8.008 * [backup-simplify]: Simplify (log n) into (log n) 8.008 * [backup-simplify]: Simplify (- 0) into 0 8.009 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.009 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.009 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.010 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.010 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.010 * [taylor]: Taking taylor expansion of 0.5 in n 8.010 * [backup-simplify]: Simplify 0.5 into 0.5 8.010 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.010 * [taylor]: Taking taylor expansion of 1.0 in n 8.010 * [backup-simplify]: Simplify 1.0 into 1.0 8.010 * [taylor]: Taking taylor expansion of k in n 8.010 * [backup-simplify]: Simplify k into k 8.010 * [taylor]: Taking taylor expansion of (log n) in n 8.010 * [taylor]: Taking taylor expansion of n in n 8.010 * [backup-simplify]: Simplify 0 into 0 8.010 * [backup-simplify]: Simplify 1 into 1 8.010 * [backup-simplify]: Simplify (log 1) into 0 8.011 * [backup-simplify]: Simplify (- k) into (- k) 8.011 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.011 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.011 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.011 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.011 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.011 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.012 * [taylor]: Taking taylor expansion of 0.5 in n 8.012 * [backup-simplify]: Simplify 0.5 into 0.5 8.012 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.012 * [taylor]: Taking taylor expansion of 1.0 in n 8.012 * [backup-simplify]: Simplify 1.0 into 1.0 8.012 * [taylor]: Taking taylor expansion of k in n 8.012 * [backup-simplify]: Simplify k into k 8.012 * [taylor]: Taking taylor expansion of (log n) in n 8.012 * [taylor]: Taking taylor expansion of n in n 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (log 1) into 0 8.012 * [backup-simplify]: Simplify (- k) into (- k) 8.012 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.013 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.013 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.013 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.013 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.013 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.013 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.014 * [taylor]: Taking taylor expansion of 0.5 in k 8.014 * [backup-simplify]: Simplify 0.5 into 0.5 8.014 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.014 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.014 * [taylor]: Taking taylor expansion of 1.0 in k 8.014 * [backup-simplify]: Simplify 1.0 into 1.0 8.014 * [taylor]: Taking taylor expansion of k in k 8.014 * [backup-simplify]: Simplify 0 into 0 8.014 * [backup-simplify]: Simplify 1 into 1 8.014 * [taylor]: Taking taylor expansion of (log n) in k 8.014 * [taylor]: Taking taylor expansion of n in k 8.014 * [backup-simplify]: Simplify n into n 8.014 * [backup-simplify]: Simplify (log n) into (log n) 8.014 * [backup-simplify]: Simplify (- 0) into 0 8.015 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.015 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.015 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.015 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.015 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.017 * [backup-simplify]: Simplify (- 0) into 0 8.017 * [backup-simplify]: Simplify (+ 0 0) into 0 8.018 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.018 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.019 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.020 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.020 * [taylor]: Taking taylor expansion of 0 in k 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.021 * [backup-simplify]: Simplify (- 1) into -1 8.021 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.022 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.022 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.023 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.023 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.026 * [backup-simplify]: Simplify (- 0) into 0 8.027 * [backup-simplify]: Simplify (+ 0 0) into 0 8.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.028 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.029 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.030 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.030 * [taylor]: Taking taylor expansion of 0 in k 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.033 * [backup-simplify]: Simplify (- 0) into 0 8.033 * [backup-simplify]: Simplify (+ 0 0) into 0 8.034 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.036 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.037 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.038 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 8.038 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.038 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.038 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.038 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.038 * [taylor]: Taking taylor expansion of 0.5 in k 8.038 * [backup-simplify]: Simplify 0.5 into 0.5 8.038 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.038 * [taylor]: Taking taylor expansion of 1.0 in k 8.038 * [backup-simplify]: Simplify 1.0 into 1.0 8.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.039 * [taylor]: Taking taylor expansion of k in k 8.039 * [backup-simplify]: Simplify 0 into 0 8.039 * [backup-simplify]: Simplify 1 into 1 8.039 * [backup-simplify]: Simplify (/ 1 1) into 1 8.039 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.039 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.039 * [taylor]: Taking taylor expansion of n in k 8.039 * [backup-simplify]: Simplify n into n 8.039 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.039 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.040 * [backup-simplify]: Simplify (- 1) into -1 8.040 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.041 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.041 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.041 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.041 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.041 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.041 * [taylor]: Taking taylor expansion of 0.5 in n 8.041 * [backup-simplify]: Simplify 0.5 into 0.5 8.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.041 * [taylor]: Taking taylor expansion of 1.0 in n 8.041 * [backup-simplify]: Simplify 1.0 into 1.0 8.041 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.041 * [taylor]: Taking taylor expansion of k in n 8.041 * [backup-simplify]: Simplify k into k 8.042 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.042 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.042 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.042 * [taylor]: Taking taylor expansion of n in n 8.042 * [backup-simplify]: Simplify 0 into 0 8.042 * [backup-simplify]: Simplify 1 into 1 8.042 * [backup-simplify]: Simplify (/ 1 1) into 1 8.043 * [backup-simplify]: Simplify (log 1) into 0 8.043 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.043 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.043 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.043 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.044 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.044 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.044 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.044 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.044 * [taylor]: Taking taylor expansion of 0.5 in n 8.044 * [backup-simplify]: Simplify 0.5 into 0.5 8.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.044 * [taylor]: Taking taylor expansion of 1.0 in n 8.044 * [backup-simplify]: Simplify 1.0 into 1.0 8.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.044 * [taylor]: Taking taylor expansion of k in n 8.044 * [backup-simplify]: Simplify k into k 8.044 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.044 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.044 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.044 * [taylor]: Taking taylor expansion of n in n 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.045 * [backup-simplify]: Simplify (/ 1 1) into 1 8.045 * [backup-simplify]: Simplify (log 1) into 0 8.045 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.045 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.046 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.046 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.046 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.047 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.047 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.047 * [taylor]: Taking taylor expansion of -0.5 in k 8.047 * [backup-simplify]: Simplify -0.5 into -0.5 8.047 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.047 * [taylor]: Taking taylor expansion of (log n) in k 8.047 * [taylor]: Taking taylor expansion of n in k 8.047 * [backup-simplify]: Simplify n into n 8.047 * [backup-simplify]: Simplify (log n) into (log n) 8.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.047 * [taylor]: Taking taylor expansion of 1.0 in k 8.047 * [backup-simplify]: Simplify 1.0 into 1.0 8.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.047 * [taylor]: Taking taylor expansion of k in k 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.047 * [backup-simplify]: Simplify (/ 1 1) into 1 8.048 * [backup-simplify]: Simplify (- 1) into -1 8.048 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.048 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.049 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.049 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.049 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.052 * [backup-simplify]: Simplify (- 0) into 0 8.052 * [backup-simplify]: Simplify (+ 0 0) into 0 8.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.054 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.055 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.055 * [taylor]: Taking taylor expansion of 0 in k 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify 0 into 0 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.067 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.068 * [backup-simplify]: Simplify (- 0) into 0 8.069 * [backup-simplify]: Simplify (+ 0 0) into 0 8.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.070 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.071 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.072 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.072 * [taylor]: Taking taylor expansion of 0 in k 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.076 * [backup-simplify]: Simplify (- 0) into 0 8.076 * [backup-simplify]: Simplify (+ 0 0) into 0 8.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.079 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.080 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.080 * [taylor]: Taking taylor expansion of 0 in k 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.080 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.081 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.081 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.081 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.081 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.081 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.081 * [taylor]: Taking taylor expansion of 0.5 in k 8.081 * [backup-simplify]: Simplify 0.5 into 0.5 8.081 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.081 * [taylor]: Taking taylor expansion of k in k 8.081 * [backup-simplify]: Simplify 0 into 0 8.081 * [backup-simplify]: Simplify 1 into 1 8.081 * [backup-simplify]: Simplify (/ 1 1) into 1 8.081 * [taylor]: Taking taylor expansion of 1.0 in k 8.081 * [backup-simplify]: Simplify 1.0 into 1.0 8.081 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.081 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.081 * [taylor]: Taking taylor expansion of -1 in k 8.081 * [backup-simplify]: Simplify -1 into -1 8.081 * [taylor]: Taking taylor expansion of n in k 8.081 * [backup-simplify]: Simplify n into n 8.081 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.081 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.082 * [backup-simplify]: Simplify (+ 1 0) into 1 8.082 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.082 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.082 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.082 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.082 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.082 * [taylor]: Taking taylor expansion of 0.5 in n 8.082 * [backup-simplify]: Simplify 0.5 into 0.5 8.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.082 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.082 * [taylor]: Taking taylor expansion of k in n 8.082 * [backup-simplify]: Simplify k into k 8.082 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.082 * [taylor]: Taking taylor expansion of 1.0 in n 8.082 * [backup-simplify]: Simplify 1.0 into 1.0 8.082 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.082 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.082 * [taylor]: Taking taylor expansion of -1 in n 8.082 * [backup-simplify]: Simplify -1 into -1 8.082 * [taylor]: Taking taylor expansion of n in n 8.082 * [backup-simplify]: Simplify 0 into 0 8.082 * [backup-simplify]: Simplify 1 into 1 8.083 * [backup-simplify]: Simplify (/ -1 1) into -1 8.083 * [backup-simplify]: Simplify (log -1) into (log -1) 8.083 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.083 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.084 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.084 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.084 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.084 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.084 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.084 * [taylor]: Taking taylor expansion of 0.5 in n 8.084 * [backup-simplify]: Simplify 0.5 into 0.5 8.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.084 * [taylor]: Taking taylor expansion of k in n 8.085 * [backup-simplify]: Simplify k into k 8.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.085 * [taylor]: Taking taylor expansion of 1.0 in n 8.085 * [backup-simplify]: Simplify 1.0 into 1.0 8.085 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.085 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.085 * [taylor]: Taking taylor expansion of -1 in n 8.085 * [backup-simplify]: Simplify -1 into -1 8.085 * [taylor]: Taking taylor expansion of n in n 8.085 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify 1 into 1 8.085 * [backup-simplify]: Simplify (/ -1 1) into -1 8.085 * [backup-simplify]: Simplify (log -1) into (log -1) 8.085 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.085 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.086 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.086 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.087 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.087 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.087 * [taylor]: Taking taylor expansion of 0.5 in k 8.087 * [backup-simplify]: Simplify 0.5 into 0.5 8.087 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.087 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.087 * [taylor]: Taking taylor expansion of (log -1) in k 8.087 * [taylor]: Taking taylor expansion of -1 in k 8.087 * [backup-simplify]: Simplify -1 into -1 8.087 * [backup-simplify]: Simplify (log -1) into (log -1) 8.087 * [taylor]: Taking taylor expansion of (log n) in k 8.087 * [taylor]: Taking taylor expansion of n in k 8.087 * [backup-simplify]: Simplify n into n 8.087 * [backup-simplify]: Simplify (log n) into (log n) 8.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.087 * [taylor]: Taking taylor expansion of k in k 8.087 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify 1 into 1 8.087 * [backup-simplify]: Simplify (/ 1 1) into 1 8.088 * [taylor]: Taking taylor expansion of 1.0 in k 8.088 * [backup-simplify]: Simplify 1.0 into 1.0 8.088 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.088 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.088 * [backup-simplify]: Simplify (+ 1 0) into 1 8.088 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.089 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.089 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.089 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.092 * [backup-simplify]: Simplify (+ 0 0) into 0 8.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.092 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.093 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.094 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.094 * [taylor]: Taking taylor expansion of 0 in k 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify 0 into 0 8.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.096 * [backup-simplify]: Simplify (+ 0 0) into 0 8.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.098 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.099 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.099 * [taylor]: Taking taylor expansion of 0 in k 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.106 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 8.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.107 * [backup-simplify]: Simplify (+ 0 0) into 0 8.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.111 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.113 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.113 * [taylor]: Taking taylor expansion of 0 in k 8.113 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 8.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.115 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 8.115 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.115 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.115 * [taylor]: Taking taylor expansion of 1.0 in k 8.115 * [backup-simplify]: Simplify 1.0 into 1.0 8.115 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.115 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.115 * [taylor]: Taking taylor expansion of k in k 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (/ 1 1) into 1 8.116 * [backup-simplify]: Simplify (sqrt 0) into 0 8.117 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.117 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.118 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.118 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.118 * [taylor]: Taking taylor expansion of 0.5 in k 8.118 * [backup-simplify]: Simplify 0.5 into 0.5 8.118 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.118 * [taylor]: Taking taylor expansion of 1.0 in k 8.118 * [backup-simplify]: Simplify 1.0 into 1.0 8.118 * [taylor]: Taking taylor expansion of k in k 8.118 * [backup-simplify]: Simplify 0 into 0 8.118 * [backup-simplify]: Simplify 1 into 1 8.118 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.118 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.118 * [taylor]: Taking taylor expansion of 2.0 in k 8.118 * [backup-simplify]: Simplify 2.0 into 2.0 8.118 * [taylor]: Taking taylor expansion of PI in k 8.118 * [backup-simplify]: Simplify PI into PI 8.118 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.120 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.120 * [backup-simplify]: Simplify (- 0) into 0 8.120 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.121 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.123 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.125 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.126 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.126 * [taylor]: Taking taylor expansion of 1.0 in k 8.126 * [backup-simplify]: Simplify 1.0 into 1.0 8.126 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.126 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.126 * [taylor]: Taking taylor expansion of k in k 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.126 * [backup-simplify]: Simplify (/ 1 1) into 1 8.127 * [backup-simplify]: Simplify (sqrt 0) into 0 8.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.128 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.128 * [taylor]: Taking taylor expansion of 0.5 in k 8.128 * [backup-simplify]: Simplify 0.5 into 0.5 8.128 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.128 * [taylor]: Taking taylor expansion of 1.0 in k 8.128 * [backup-simplify]: Simplify 1.0 into 1.0 8.128 * [taylor]: Taking taylor expansion of k in k 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.128 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.128 * [taylor]: Taking taylor expansion of 2.0 in k 8.128 * [backup-simplify]: Simplify 2.0 into 2.0 8.128 * [taylor]: Taking taylor expansion of PI in k 8.129 * [backup-simplify]: Simplify PI into PI 8.129 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.130 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.130 * [backup-simplify]: Simplify (- 0) into 0 8.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.131 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.133 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.136 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.137 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.137 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.140 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.141 * [backup-simplify]: Simplify (- 1) into -1 8.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.143 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.158 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.163 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.168 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.171 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.172 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.174 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.174 * [backup-simplify]: Simplify (- 0) into 0 8.174 * [backup-simplify]: Simplify (+ 0 0) into 0 8.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.198 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.202 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.224 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.255 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 8.273 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.277 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.278 * [backup-simplify]: Simplify (- 0) into 0 8.278 * [backup-simplify]: Simplify (+ 0 0) into 0 8.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.291 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.338 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.401 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.432 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.492 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.492 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.493 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.493 * [taylor]: Taking taylor expansion of 1.0 in k 8.493 * [backup-simplify]: Simplify 1.0 into 1.0 8.493 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.493 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.493 * [taylor]: Taking taylor expansion of k in k 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [backup-simplify]: Simplify (sqrt 0) into 0 8.494 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.494 * [taylor]: Taking taylor expansion of 0.5 in k 8.494 * [backup-simplify]: Simplify 0.5 into 0.5 8.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.494 * [taylor]: Taking taylor expansion of 1.0 in k 8.494 * [backup-simplify]: Simplify 1.0 into 1.0 8.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.494 * [taylor]: Taking taylor expansion of k in k 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 1 into 1 8.494 * [backup-simplify]: Simplify (/ 1 1) into 1 8.494 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.494 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.494 * [taylor]: Taking taylor expansion of 2.0 in k 8.494 * [backup-simplify]: Simplify 2.0 into 2.0 8.494 * [taylor]: Taking taylor expansion of PI in k 8.494 * [backup-simplify]: Simplify PI into PI 8.495 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.495 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.496 * [backup-simplify]: Simplify (- 1) into -1 8.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.496 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.497 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.498 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.498 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.498 * [taylor]: Taking taylor expansion of 1.0 in k 8.498 * [backup-simplify]: Simplify 1.0 into 1.0 8.498 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.498 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.498 * [taylor]: Taking taylor expansion of k in k 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (sqrt 0) into 0 8.499 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.499 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.499 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.499 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.499 * [taylor]: Taking taylor expansion of 0.5 in k 8.499 * [backup-simplify]: Simplify 0.5 into 0.5 8.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.499 * [taylor]: Taking taylor expansion of 1.0 in k 8.499 * [backup-simplify]: Simplify 1.0 into 1.0 8.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.499 * [taylor]: Taking taylor expansion of k in k 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify (/ 1 1) into 1 8.500 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.500 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.500 * [taylor]: Taking taylor expansion of 2.0 in k 8.500 * [backup-simplify]: Simplify 2.0 into 2.0 8.500 * [taylor]: Taking taylor expansion of PI in k 8.500 * [backup-simplify]: Simplify PI into PI 8.500 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.501 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.501 * [backup-simplify]: Simplify (- 1) into -1 8.501 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.501 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.502 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.503 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.504 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.504 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.504 * [backup-simplify]: Simplify 0 into 0 8.505 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.506 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.507 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.509 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.512 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.513 * [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))))))) 8.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.519 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.520 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.523 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.523 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.524 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.524 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.524 * [taylor]: Taking taylor expansion of 1.0 in k 8.524 * [backup-simplify]: Simplify 1.0 into 1.0 8.524 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.524 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.524 * [taylor]: Taking taylor expansion of 0.5 in k 8.524 * [backup-simplify]: Simplify 0.5 into 0.5 8.524 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.524 * [taylor]: Taking taylor expansion of k in k 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of 1.0 in k 8.524 * [backup-simplify]: Simplify 1.0 into 1.0 8.524 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.524 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.524 * [taylor]: Taking taylor expansion of 2.0 in k 8.524 * [backup-simplify]: Simplify 2.0 into 2.0 8.524 * [taylor]: Taking taylor expansion of PI in k 8.524 * [backup-simplify]: Simplify PI into PI 8.525 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.525 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.526 * [backup-simplify]: Simplify (+ 1 0) into 1 8.526 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.527 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.528 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.528 * [taylor]: Taking taylor expansion of -1 in k 8.528 * [backup-simplify]: Simplify -1 into -1 8.528 * [taylor]: Taking taylor expansion of k in k 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.528 * [backup-simplify]: Simplify (/ -1 1) into -1 8.528 * [backup-simplify]: Simplify (sqrt 0) into 0 8.529 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.530 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.530 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.530 * [taylor]: Taking taylor expansion of 1.0 in k 8.530 * [backup-simplify]: Simplify 1.0 into 1.0 8.530 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.530 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.530 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.530 * [taylor]: Taking taylor expansion of 0.5 in k 8.530 * [backup-simplify]: Simplify 0.5 into 0.5 8.530 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.530 * [taylor]: Taking taylor expansion of k in k 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 1 into 1 8.531 * [backup-simplify]: Simplify (/ 1 1) into 1 8.531 * [taylor]: Taking taylor expansion of 1.0 in k 8.531 * [backup-simplify]: Simplify 1.0 into 1.0 8.531 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.531 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.531 * [taylor]: Taking taylor expansion of 2.0 in k 8.531 * [backup-simplify]: Simplify 2.0 into 2.0 8.531 * [taylor]: Taking taylor expansion of PI in k 8.531 * [backup-simplify]: Simplify PI into PI 8.531 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.532 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.532 * [backup-simplify]: Simplify (+ 1 0) into 1 8.532 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.533 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.534 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.534 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.534 * [taylor]: Taking taylor expansion of -1 in k 8.534 * [backup-simplify]: Simplify -1 into -1 8.534 * [taylor]: Taking taylor expansion of k in k 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 1 into 1 8.535 * [backup-simplify]: Simplify (/ -1 1) into -1 8.535 * [backup-simplify]: Simplify (sqrt 0) into 0 8.536 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.536 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.537 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.538 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.542 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.543 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.544 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.549 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.551 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.552 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.555 * [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))))))))))) 8.555 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.555 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.555 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.555 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.555 * [taylor]: Taking taylor expansion of 1.0 in k 8.555 * [backup-simplify]: Simplify 1.0 into 1.0 8.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.555 * [taylor]: Taking taylor expansion of k in k 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [backup-simplify]: Simplify (sqrt 0) into 0 8.556 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.556 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.556 * [taylor]: Taking taylor expansion of 1.0 in k 8.556 * [backup-simplify]: Simplify 1.0 into 1.0 8.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.556 * [taylor]: Taking taylor expansion of k in k 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify 1 into 1 8.557 * [backup-simplify]: Simplify (/ 1 1) into 1 8.557 * [backup-simplify]: Simplify (sqrt 0) into 0 8.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.558 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.558 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.559 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.562 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.563 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.567 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.567 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.568 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.568 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.568 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.568 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.568 * [taylor]: Taking taylor expansion of 1.0 in k 8.568 * [backup-simplify]: Simplify 1.0 into 1.0 8.568 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.568 * [taylor]: Taking taylor expansion of k in k 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.568 * [backup-simplify]: Simplify (sqrt 0) into 0 8.569 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.569 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.569 * [taylor]: Taking taylor expansion of 1.0 in k 8.569 * [backup-simplify]: Simplify 1.0 into 1.0 8.569 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.569 * [taylor]: Taking taylor expansion of k in k 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (sqrt 0) into 0 8.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.570 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.572 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.579 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.580 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.580 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.584 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.585 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.586 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.586 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.586 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.586 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.586 * [taylor]: Taking taylor expansion of 1.0 in k 8.586 * [backup-simplify]: Simplify 1.0 into 1.0 8.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.586 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.586 * [taylor]: Taking taylor expansion of -1 in k 8.586 * [backup-simplify]: Simplify -1 into -1 8.586 * [taylor]: Taking taylor expansion of k in k 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (/ -1 1) into -1 8.586 * [backup-simplify]: Simplify (sqrt 0) into 0 8.587 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.588 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.588 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.588 * [taylor]: Taking taylor expansion of 1.0 in k 8.588 * [backup-simplify]: Simplify 1.0 into 1.0 8.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.588 * [taylor]: Taking taylor expansion of -1 in k 8.588 * [backup-simplify]: Simplify -1 into -1 8.588 * [taylor]: Taking taylor expansion of k in k 8.588 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify 1 into 1 8.588 * [backup-simplify]: Simplify (/ -1 1) into -1 8.588 * [backup-simplify]: Simplify (sqrt 0) into 0 8.589 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.589 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.589 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.592 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.595 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.595 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.605 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.606 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.606 * * * [progress]: simplifying candidates 8.611 * [simplify]: Simplifying: (* (+ (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 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 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))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow 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)))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.620 * * [simplify]: Extracting # 0 : cost 0 8.620 * * [simplify]: Extracting # 1 : cost 0 8.621 * * [simplify]: Extracting # 2 : cost 0 8.622 * * [simplify]: Extracting # 3 : cost 0 8.623 * * [simplify]: Extracting # 4 : cost 0 8.624 * * [simplify]: Extracting # 5 : cost 0 8.624 * * [simplify]: Extracting # 6 : cost 0 8.625 * * [simplify]: Extracting # 7 : cost 0 8.626 * * [simplify]: Extracting # 8 : cost 0 8.627 * * [simplify]: Extracting # 9 : cost 0 8.628 * * [simplify]: Extracting # 10 : cost 0 8.629 * * [simplify]: Extracting # 11 : cost 0 8.630 * * [simplify]: Extracting # 12 : cost 0 8.631 * * [simplify]: Extracting # 13 : cost 0 8.632 * * [simplify]: Extracting # 14 : cost 0 8.633 * * [simplify]: Extracting # 15 : cost 0 8.634 * * [simplify]: Extracting # 16 : cost 0 8.635 * * [simplify]: Extracting # 17 : cost 0 8.636 * * [simplify]: Extracting # 18 : cost 0 8.637 * * [simplify]: Extracting # 19 : cost 0 8.638 * * [simplify]: iteration 0 : 325 enodes (cost 2550 ) 8.745 * * [simplify]: Extracting # 0 : cost 0 8.748 * * [simplify]: Extracting # 1 : cost 0 8.750 * * [simplify]: Extracting # 2 : cost 0 8.752 * * [simplify]: Extracting # 3 : cost 0 8.755 * * [simplify]: Extracting # 4 : cost 0 8.757 * * [simplify]: Extracting # 5 : cost 0 8.759 * * [simplify]: iteration 1 : 807 enodes (cost 2394 ) 9.212 * * [simplify]: Extracting # 0 : cost 0 9.218 * * [simplify]: Extracting # 1 : cost 0 9.224 * * [simplify]: Extracting # 2 : cost 0 9.230 * * [simplify]: Extracting # 3 : cost 0 9.235 * * [simplify]: Extracting # 4 : cost 0 9.241 * * [simplify]: iteration 2 : 2346 enodes (cost 2288 ) 10.179 * * [simplify]: Extracting # 0 : cost 0 10.190 * * [simplify]: Extracting # 1 : cost 0 10.203 * * [simplify]: Extracting # 2 : cost 0 10.227 * * [simplify]: Extracting # 3 : cost 0 10.239 * * [simplify]: Extracting # 4 : cost 0 10.249 * * [simplify]: Extracting # 5 : cost 0 10.256 * * [simplify]: iteration done: 5001 enodes (cost 2206 ) 10.258 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) (* k (sqrt k))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (pow n 0.5) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (exp (- 1.0 k)) (* (+ 0 (log n)) 0.5)) (- (+ (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (pow k 2) (* (pow k 2) (log (* 2.0 PI))))) (+ (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- k (* k (log (* 2.0 PI))))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0))))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (/ (pow k 3) +nan.0)))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (* +nan.0 (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))))) (- (+ (* +nan.0 (- k (pow k 2))) +nan.0)) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 10.259 * * * [progress]: adding candidates to table 10.957 * * [progress]: iteration 3 / 4 10.957 * * * [progress]: picking best candidate 10.981 * * * * [pick]: Picked # 10.981 * * * [progress]: localizing error 11.021 * * * [progress]: generating rewritten candidates 11.021 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 11.037 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 11.050 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.159 * * * [progress]: generating series expansions 11.159 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 11.160 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.160 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.160 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.160 * [taylor]: Taking taylor expansion of 0.5 in k 11.160 * [backup-simplify]: Simplify 0.5 into 0.5 11.160 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.160 * [taylor]: Taking taylor expansion of 1.0 in k 11.160 * [backup-simplify]: Simplify 1.0 into 1.0 11.160 * [taylor]: Taking taylor expansion of k in k 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [taylor]: Taking taylor expansion of (log PI) in k 11.161 * [taylor]: Taking taylor expansion of PI in k 11.161 * [backup-simplify]: Simplify PI into PI 11.161 * [backup-simplify]: Simplify (log PI) into (log PI) 11.162 * [backup-simplify]: Simplify (- 0) into 0 11.162 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.163 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.164 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.166 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.166 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.166 * [taylor]: Taking taylor expansion of 0.5 in k 11.166 * [backup-simplify]: Simplify 0.5 into 0.5 11.166 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.166 * [taylor]: Taking taylor expansion of 1.0 in k 11.166 * [backup-simplify]: Simplify 1.0 into 1.0 11.166 * [taylor]: Taking taylor expansion of k in k 11.166 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [taylor]: Taking taylor expansion of (log PI) in k 11.166 * [taylor]: Taking taylor expansion of PI in k 11.166 * [backup-simplify]: Simplify PI into PI 11.167 * [backup-simplify]: Simplify (log PI) into (log PI) 11.167 * [backup-simplify]: Simplify (- 0) into 0 11.168 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.168 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.169 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.171 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.171 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.173 * [backup-simplify]: Simplify (- 1) into -1 11.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.176 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.184 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.186 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.188 * [backup-simplify]: Simplify (- 0) into 0 11.189 * [backup-simplify]: Simplify (+ 0 0) into 0 11.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.198 * [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))) 11.200 * [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))) 11.206 * [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)))) 11.206 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.206 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.206 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.206 * [taylor]: Taking taylor expansion of 0.5 in k 11.206 * [backup-simplify]: Simplify 0.5 into 0.5 11.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.206 * [taylor]: Taking taylor expansion of 1.0 in k 11.206 * [backup-simplify]: Simplify 1.0 into 1.0 11.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.206 * [taylor]: Taking taylor expansion of k in k 11.206 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify 1 into 1 11.207 * [backup-simplify]: Simplify (/ 1 1) into 1 11.207 * [taylor]: Taking taylor expansion of (log PI) in k 11.207 * [taylor]: Taking taylor expansion of PI in k 11.207 * [backup-simplify]: Simplify PI into PI 11.207 * [backup-simplify]: Simplify (log PI) into (log PI) 11.208 * [backup-simplify]: Simplify (- 1) into -1 11.208 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.208 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.209 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.210 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.210 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.210 * [taylor]: Taking taylor expansion of 0.5 in k 11.210 * [backup-simplify]: Simplify 0.5 into 0.5 11.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.210 * [taylor]: Taking taylor expansion of 1.0 in k 11.210 * [backup-simplify]: Simplify 1.0 into 1.0 11.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.210 * [taylor]: Taking taylor expansion of k in k 11.210 * [backup-simplify]: Simplify 0 into 0 11.210 * [backup-simplify]: Simplify 1 into 1 11.211 * [backup-simplify]: Simplify (/ 1 1) into 1 11.211 * [taylor]: Taking taylor expansion of (log PI) in k 11.211 * [taylor]: Taking taylor expansion of PI in k 11.211 * [backup-simplify]: Simplify PI into PI 11.211 * [backup-simplify]: Simplify (log PI) into (log PI) 11.211 * [backup-simplify]: Simplify (- 1) into -1 11.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.212 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.213 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.214 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.214 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.215 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.215 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.215 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.215 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.216 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.216 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.216 * [taylor]: Taking taylor expansion of 0.5 in k 11.216 * [backup-simplify]: Simplify 0.5 into 0.5 11.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.216 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.216 * [taylor]: Taking taylor expansion of k in k 11.216 * [backup-simplify]: Simplify 0 into 0 11.216 * [backup-simplify]: Simplify 1 into 1 11.216 * [backup-simplify]: Simplify (/ 1 1) into 1 11.216 * [taylor]: Taking taylor expansion of 1.0 in k 11.216 * [backup-simplify]: Simplify 1.0 into 1.0 11.216 * [taylor]: Taking taylor expansion of (log PI) in k 11.216 * [taylor]: Taking taylor expansion of PI in k 11.216 * [backup-simplify]: Simplify PI into PI 11.217 * [backup-simplify]: Simplify (log PI) into (log PI) 11.217 * [backup-simplify]: Simplify (+ 1 0) into 1 11.218 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.219 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.219 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.219 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.219 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.219 * [taylor]: Taking taylor expansion of 0.5 in k 11.219 * [backup-simplify]: Simplify 0.5 into 0.5 11.219 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.219 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.219 * [taylor]: Taking taylor expansion of k in k 11.219 * [backup-simplify]: Simplify 0 into 0 11.219 * [backup-simplify]: Simplify 1 into 1 11.220 * [backup-simplify]: Simplify (/ 1 1) into 1 11.220 * [taylor]: Taking taylor expansion of 1.0 in k 11.220 * [backup-simplify]: Simplify 1.0 into 1.0 11.220 * [taylor]: Taking taylor expansion of (log PI) in k 11.220 * [taylor]: Taking taylor expansion of PI in k 11.220 * [backup-simplify]: Simplify PI into PI 11.221 * [backup-simplify]: Simplify (log PI) into (log PI) 11.221 * [backup-simplify]: Simplify (+ 1 0) into 1 11.221 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.222 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.223 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.224 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.224 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 11.225 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.225 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.225 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.225 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.225 * [taylor]: Taking taylor expansion of 0.5 in k 11.225 * [backup-simplify]: Simplify 0.5 into 0.5 11.225 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.225 * [taylor]: Taking taylor expansion of 1.0 in k 11.225 * [backup-simplify]: Simplify 1.0 into 1.0 11.225 * [taylor]: Taking taylor expansion of k in k 11.225 * [backup-simplify]: Simplify 0 into 0 11.225 * [backup-simplify]: Simplify 1 into 1 11.225 * [taylor]: Taking taylor expansion of (log n) in k 11.225 * [taylor]: Taking taylor expansion of n in k 11.225 * [backup-simplify]: Simplify n into n 11.225 * [backup-simplify]: Simplify (log n) into (log n) 11.226 * [backup-simplify]: Simplify (- 0) into 0 11.226 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.226 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.227 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.227 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.227 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.227 * [taylor]: Taking taylor expansion of 0.5 in n 11.227 * [backup-simplify]: Simplify 0.5 into 0.5 11.227 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.227 * [taylor]: Taking taylor expansion of 1.0 in n 11.227 * [backup-simplify]: Simplify 1.0 into 1.0 11.227 * [taylor]: Taking taylor expansion of k in n 11.227 * [backup-simplify]: Simplify k into k 11.227 * [taylor]: Taking taylor expansion of (log n) in n 11.227 * [taylor]: Taking taylor expansion of n in n 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 1 into 1 11.228 * [backup-simplify]: Simplify (log 1) into 0 11.228 * [backup-simplify]: Simplify (- k) into (- k) 11.228 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.228 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.228 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.228 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.229 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.229 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.229 * [taylor]: Taking taylor expansion of 0.5 in n 11.229 * [backup-simplify]: Simplify 0.5 into 0.5 11.229 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.229 * [taylor]: Taking taylor expansion of 1.0 in n 11.229 * [backup-simplify]: Simplify 1.0 into 1.0 11.229 * [taylor]: Taking taylor expansion of k in n 11.229 * [backup-simplify]: Simplify k into k 11.229 * [taylor]: Taking taylor expansion of (log n) in n 11.229 * [taylor]: Taking taylor expansion of n in n 11.229 * [backup-simplify]: Simplify 0 into 0 11.229 * [backup-simplify]: Simplify 1 into 1 11.229 * [backup-simplify]: Simplify (log 1) into 0 11.229 * [backup-simplify]: Simplify (- k) into (- k) 11.229 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.229 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.230 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.230 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.230 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.230 * [taylor]: Taking taylor expansion of 0.5 in k 11.230 * [backup-simplify]: Simplify 0.5 into 0.5 11.230 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.230 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.230 * [taylor]: Taking taylor expansion of 1.0 in k 11.231 * [backup-simplify]: Simplify 1.0 into 1.0 11.231 * [taylor]: Taking taylor expansion of k in k 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 1 into 1 11.231 * [taylor]: Taking taylor expansion of (log n) in k 11.231 * [taylor]: Taking taylor expansion of n in k 11.231 * [backup-simplify]: Simplify n into n 11.231 * [backup-simplify]: Simplify (log n) into (log n) 11.231 * [backup-simplify]: Simplify (- 0) into 0 11.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.232 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.232 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.232 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.232 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.234 * [backup-simplify]: Simplify (- 0) into 0 11.234 * [backup-simplify]: Simplify (+ 0 0) into 0 11.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.235 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.236 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.236 * [taylor]: Taking taylor expansion of 0 in k 11.236 * [backup-simplify]: Simplify 0 into 0 11.236 * [backup-simplify]: Simplify 0 into 0 11.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.237 * [backup-simplify]: Simplify (- 1) into -1 11.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.238 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.238 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.239 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.239 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.242 * [backup-simplify]: Simplify (- 0) into 0 11.242 * [backup-simplify]: Simplify (+ 0 0) into 0 11.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.244 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.244 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.246 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.246 * [taylor]: Taking taylor expansion of 0 in k 11.246 * [backup-simplify]: Simplify 0 into 0 11.246 * [backup-simplify]: Simplify 0 into 0 11.246 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.248 * [backup-simplify]: Simplify (- 0) into 0 11.248 * [backup-simplify]: Simplify (+ 0 0) into 0 11.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.250 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.251 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.252 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.252 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.252 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.252 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.252 * [taylor]: Taking taylor expansion of 0.5 in k 11.252 * [backup-simplify]: Simplify 0.5 into 0.5 11.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.252 * [taylor]: Taking taylor expansion of 1.0 in k 11.252 * [backup-simplify]: Simplify 1.0 into 1.0 11.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.253 * [taylor]: Taking taylor expansion of k in k 11.253 * [backup-simplify]: Simplify 0 into 0 11.253 * [backup-simplify]: Simplify 1 into 1 11.253 * [backup-simplify]: Simplify (/ 1 1) into 1 11.253 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.253 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.253 * [taylor]: Taking taylor expansion of n in k 11.253 * [backup-simplify]: Simplify n into n 11.253 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.253 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.254 * [backup-simplify]: Simplify (- 1) into -1 11.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.254 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.254 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.255 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.255 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.255 * [taylor]: Taking taylor expansion of 0.5 in n 11.255 * [backup-simplify]: Simplify 0.5 into 0.5 11.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.255 * [taylor]: Taking taylor expansion of 1.0 in n 11.255 * [backup-simplify]: Simplify 1.0 into 1.0 11.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.255 * [taylor]: Taking taylor expansion of k in n 11.255 * [backup-simplify]: Simplify k into k 11.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.255 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.255 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.255 * [taylor]: Taking taylor expansion of n in n 11.255 * [backup-simplify]: Simplify 0 into 0 11.255 * [backup-simplify]: Simplify 1 into 1 11.256 * [backup-simplify]: Simplify (/ 1 1) into 1 11.256 * [backup-simplify]: Simplify (log 1) into 0 11.256 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.256 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.256 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.257 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.257 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.257 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.257 * [taylor]: Taking taylor expansion of 0.5 in n 11.257 * [backup-simplify]: Simplify 0.5 into 0.5 11.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.257 * [taylor]: Taking taylor expansion of 1.0 in n 11.257 * [backup-simplify]: Simplify 1.0 into 1.0 11.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.257 * [taylor]: Taking taylor expansion of k in n 11.257 * [backup-simplify]: Simplify k into k 11.257 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.257 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.257 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.257 * [taylor]: Taking taylor expansion of n in n 11.257 * [backup-simplify]: Simplify 0 into 0 11.258 * [backup-simplify]: Simplify 1 into 1 11.258 * [backup-simplify]: Simplify (/ 1 1) into 1 11.258 * [backup-simplify]: Simplify (log 1) into 0 11.258 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.258 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.259 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.259 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.259 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.259 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.259 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.259 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.259 * [taylor]: Taking taylor expansion of -0.5 in k 11.259 * [backup-simplify]: Simplify -0.5 into -0.5 11.260 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.260 * [taylor]: Taking taylor expansion of (log n) in k 11.260 * [taylor]: Taking taylor expansion of n in k 11.260 * [backup-simplify]: Simplify n into n 11.260 * [backup-simplify]: Simplify (log n) into (log n) 11.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.260 * [taylor]: Taking taylor expansion of 1.0 in k 11.260 * [backup-simplify]: Simplify 1.0 into 1.0 11.260 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.260 * [taylor]: Taking taylor expansion of k in k 11.260 * [backup-simplify]: Simplify 0 into 0 11.260 * [backup-simplify]: Simplify 1 into 1 11.260 * [backup-simplify]: Simplify (/ 1 1) into 1 11.261 * [backup-simplify]: Simplify (- 1) into -1 11.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.261 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.261 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.261 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.261 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.264 * [backup-simplify]: Simplify (- 0) into 0 11.264 * [backup-simplify]: Simplify (+ 0 0) into 0 11.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.265 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.265 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.266 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.266 * [taylor]: Taking taylor expansion of 0 in k 11.266 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify 0 into 0 11.266 * [backup-simplify]: Simplify 0 into 0 11.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.270 * [backup-simplify]: Simplify (- 0) into 0 11.271 * [backup-simplify]: Simplify (+ 0 0) into 0 11.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.273 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.274 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.274 * [taylor]: Taking taylor expansion of 0 in k 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.291 * [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 11.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.292 * [backup-simplify]: Simplify (- 0) into 0 11.292 * [backup-simplify]: Simplify (+ 0 0) into 0 11.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.294 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.295 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.297 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.297 * [taylor]: Taking taylor expansion of 0 in k 11.297 * [backup-simplify]: Simplify 0 into 0 11.297 * [backup-simplify]: Simplify 0 into 0 11.297 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.298 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.298 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.298 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.298 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.298 * [taylor]: Taking taylor expansion of 0.5 in k 11.298 * [backup-simplify]: Simplify 0.5 into 0.5 11.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.298 * [taylor]: Taking taylor expansion of k in k 11.298 * [backup-simplify]: Simplify 0 into 0 11.298 * [backup-simplify]: Simplify 1 into 1 11.299 * [backup-simplify]: Simplify (/ 1 1) into 1 11.299 * [taylor]: Taking taylor expansion of 1.0 in k 11.299 * [backup-simplify]: Simplify 1.0 into 1.0 11.299 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.299 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.299 * [taylor]: Taking taylor expansion of -1 in k 11.299 * [backup-simplify]: Simplify -1 into -1 11.299 * [taylor]: Taking taylor expansion of n in k 11.299 * [backup-simplify]: Simplify n into n 11.299 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.299 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.301 * [backup-simplify]: Simplify (+ 1 0) into 1 11.302 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.302 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.302 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.302 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.302 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.302 * [taylor]: Taking taylor expansion of 0.5 in n 11.302 * [backup-simplify]: Simplify 0.5 into 0.5 11.302 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.302 * [taylor]: Taking taylor expansion of k in n 11.302 * [backup-simplify]: Simplify k into k 11.302 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.302 * [taylor]: Taking taylor expansion of 1.0 in n 11.303 * [backup-simplify]: Simplify 1.0 into 1.0 11.303 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.303 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.303 * [taylor]: Taking taylor expansion of -1 in n 11.303 * [backup-simplify]: Simplify -1 into -1 11.303 * [taylor]: Taking taylor expansion of n in n 11.303 * [backup-simplify]: Simplify 0 into 0 11.303 * [backup-simplify]: Simplify 1 into 1 11.303 * [backup-simplify]: Simplify (/ -1 1) into -1 11.304 * [backup-simplify]: Simplify (log -1) into (log -1) 11.304 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.304 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.305 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.306 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.306 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.306 * [taylor]: Taking taylor expansion of 0.5 in n 11.306 * [backup-simplify]: Simplify 0.5 into 0.5 11.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.306 * [taylor]: Taking taylor expansion of k in n 11.306 * [backup-simplify]: Simplify k into k 11.306 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.306 * [taylor]: Taking taylor expansion of 1.0 in n 11.306 * [backup-simplify]: Simplify 1.0 into 1.0 11.306 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.307 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.307 * [taylor]: Taking taylor expansion of -1 in n 11.307 * [backup-simplify]: Simplify -1 into -1 11.307 * [taylor]: Taking taylor expansion of n in n 11.307 * [backup-simplify]: Simplify 0 into 0 11.307 * [backup-simplify]: Simplify 1 into 1 11.307 * [backup-simplify]: Simplify (/ -1 1) into -1 11.308 * [backup-simplify]: Simplify (log -1) into (log -1) 11.308 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.308 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.309 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.309 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.310 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.310 * [taylor]: Taking taylor expansion of 0.5 in k 11.310 * [backup-simplify]: Simplify 0.5 into 0.5 11.310 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.310 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.310 * [taylor]: Taking taylor expansion of (log -1) in k 11.310 * [taylor]: Taking taylor expansion of -1 in k 11.310 * [backup-simplify]: Simplify -1 into -1 11.311 * [backup-simplify]: Simplify (log -1) into (log -1) 11.311 * [taylor]: Taking taylor expansion of (log n) in k 11.311 * [taylor]: Taking taylor expansion of n in k 11.311 * [backup-simplify]: Simplify n into n 11.311 * [backup-simplify]: Simplify (log n) into (log n) 11.311 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.311 * [taylor]: Taking taylor expansion of k in k 11.311 * [backup-simplify]: Simplify 0 into 0 11.311 * [backup-simplify]: Simplify 1 into 1 11.311 * [backup-simplify]: Simplify (/ 1 1) into 1 11.311 * [taylor]: Taking taylor expansion of 1.0 in k 11.311 * [backup-simplify]: Simplify 1.0 into 1.0 11.312 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.312 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.312 * [backup-simplify]: Simplify (+ 1 0) into 1 11.313 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.313 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.314 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.315 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.317 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.318 * [backup-simplify]: Simplify (+ 0 0) into 0 11.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.320 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.322 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.322 * [taylor]: Taking taylor expansion of 0 in k 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify 0 into 0 11.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.327 * [backup-simplify]: Simplify (+ 0 0) into 0 11.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.329 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.330 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.332 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.332 * [taylor]: Taking taylor expansion of 0 in k 11.332 * [backup-simplify]: Simplify 0 into 0 11.332 * [backup-simplify]: Simplify 0 into 0 11.332 * [backup-simplify]: Simplify 0 into 0 11.332 * [backup-simplify]: Simplify 0 into 0 11.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.339 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 11.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.340 * [backup-simplify]: Simplify (+ 0 0) into 0 11.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.344 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.346 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.346 * [taylor]: Taking taylor expansion of 0 in k 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [backup-simplify]: Simplify 0 into 0 11.347 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.347 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.348 * [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)))))) 11.348 * [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 11.348 * [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 11.348 * [taylor]: Taking taylor expansion of 1.0 in k 11.348 * [backup-simplify]: Simplify 1.0 into 1.0 11.348 * [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 11.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.348 * [taylor]: Taking taylor expansion of k in k 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 1 into 1 11.348 * [backup-simplify]: Simplify (/ 1 1) into 1 11.349 * [backup-simplify]: Simplify (sqrt 0) into 0 11.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.350 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.350 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.351 * [taylor]: Taking taylor expansion of 0.5 in k 11.351 * [backup-simplify]: Simplify 0.5 into 0.5 11.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.351 * [taylor]: Taking taylor expansion of 1.0 in k 11.351 * [backup-simplify]: Simplify 1.0 into 1.0 11.351 * [taylor]: Taking taylor expansion of k in k 11.351 * [backup-simplify]: Simplify 0 into 0 11.351 * [backup-simplify]: Simplify 1 into 1 11.351 * [taylor]: Taking taylor expansion of (log PI) in k 11.351 * [taylor]: Taking taylor expansion of PI in k 11.351 * [backup-simplify]: Simplify PI into PI 11.351 * [backup-simplify]: Simplify (log PI) into (log PI) 11.352 * [backup-simplify]: Simplify (- 0) into 0 11.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.353 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.354 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.355 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.356 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.356 * [taylor]: Taking taylor expansion of 0.5 in k 11.356 * [backup-simplify]: Simplify 0.5 into 0.5 11.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.356 * [taylor]: Taking taylor expansion of 1.0 in k 11.356 * [backup-simplify]: Simplify 1.0 into 1.0 11.356 * [taylor]: Taking taylor expansion of k in k 11.356 * [backup-simplify]: Simplify 0 into 0 11.356 * [backup-simplify]: Simplify 1 into 1 11.356 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.356 * [taylor]: Taking taylor expansion of 2.0 in k 11.356 * [backup-simplify]: Simplify 2.0 into 2.0 11.356 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.357 * [backup-simplify]: Simplify (- 0) into 0 11.357 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.358 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.359 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.361 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.361 * [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 11.361 * [taylor]: Taking taylor expansion of 1.0 in k 11.361 * [backup-simplify]: Simplify 1.0 into 1.0 11.361 * [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 11.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.361 * [taylor]: Taking taylor expansion of k in k 11.361 * [backup-simplify]: Simplify 0 into 0 11.361 * [backup-simplify]: Simplify 1 into 1 11.362 * [backup-simplify]: Simplify (/ 1 1) into 1 11.362 * [backup-simplify]: Simplify (sqrt 0) into 0 11.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.364 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.364 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.364 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.364 * [taylor]: Taking taylor expansion of 0.5 in k 11.364 * [backup-simplify]: Simplify 0.5 into 0.5 11.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.364 * [taylor]: Taking taylor expansion of 1.0 in k 11.364 * [backup-simplify]: Simplify 1.0 into 1.0 11.364 * [taylor]: Taking taylor expansion of k in k 11.364 * [backup-simplify]: Simplify 0 into 0 11.364 * [backup-simplify]: Simplify 1 into 1 11.364 * [taylor]: Taking taylor expansion of (log PI) in k 11.364 * [taylor]: Taking taylor expansion of PI in k 11.364 * [backup-simplify]: Simplify PI into PI 11.365 * [backup-simplify]: Simplify (log PI) into (log PI) 11.365 * [backup-simplify]: Simplify (- 0) into 0 11.366 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.366 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.367 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.369 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.369 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.370 * [taylor]: Taking taylor expansion of 0.5 in k 11.370 * [backup-simplify]: Simplify 0.5 into 0.5 11.370 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.370 * [taylor]: Taking taylor expansion of 1.0 in k 11.370 * [backup-simplify]: Simplify 1.0 into 1.0 11.370 * [taylor]: Taking taylor expansion of k in k 11.370 * [backup-simplify]: Simplify 0 into 0 11.370 * [backup-simplify]: Simplify 1 into 1 11.370 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.370 * [taylor]: Taking taylor expansion of 2.0 in k 11.370 * [backup-simplify]: Simplify 2.0 into 2.0 11.370 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.371 * [backup-simplify]: Simplify (- 0) into 0 11.371 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.372 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.373 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.375 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.377 * [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) 11.378 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 11.379 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.379 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.382 * [backup-simplify]: Simplify (- 1) into -1 11.382 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.384 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.387 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.397 * [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))) 11.399 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.399 * [backup-simplify]: Simplify (- 1) into -1 11.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.401 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.414 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.431 * [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))))) 11.444 * [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))) 11.464 * [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))) 11.468 * [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))) 11.470 * [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 11.470 * [backup-simplify]: Simplify (- 0) into 0 11.470 * [backup-simplify]: Simplify (+ 0 0) into 0 11.471 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.479 * [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))) 11.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.481 * [backup-simplify]: Simplify (- 0) into 0 11.482 * [backup-simplify]: Simplify (+ 0 0) into 0 11.482 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.490 * [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))) 11.528 * [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))))) 11.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.533 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.559 * [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))))))) 11.610 * [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)))))))) 11.644 * [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))))))) 11.650 * [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 11.650 * [backup-simplify]: Simplify (- 0) into 0 11.651 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.670 * [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))) 11.676 * [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 11.676 * [backup-simplify]: Simplify (- 0) into 0 11.677 * [backup-simplify]: Simplify (+ 0 0) into 0 11.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 11.696 * [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))) 11.750 * [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))))))) 11.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.839 * [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)))))))))))))) 11.936 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 12.006 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 12.118 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 12.118 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 12.118 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 12.118 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.118 * [taylor]: Taking taylor expansion of 1.0 in k 12.119 * [backup-simplify]: Simplify 1.0 into 1.0 12.119 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.119 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.119 * [taylor]: Taking taylor expansion of k in k 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 1 into 1 12.119 * [backup-simplify]: Simplify (sqrt 0) into 0 12.121 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.121 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.121 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.121 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.121 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.121 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.121 * [taylor]: Taking taylor expansion of 0.5 in k 12.121 * [backup-simplify]: Simplify 0.5 into 0.5 12.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.121 * [taylor]: Taking taylor expansion of 1.0 in k 12.121 * [backup-simplify]: Simplify 1.0 into 1.0 12.121 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.121 * [taylor]: Taking taylor expansion of k in k 12.121 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify 1 into 1 12.122 * [backup-simplify]: Simplify (/ 1 1) into 1 12.122 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.122 * [taylor]: Taking taylor expansion of 2.0 in k 12.122 * [backup-simplify]: Simplify 2.0 into 2.0 12.122 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.123 * [backup-simplify]: Simplify (- 1) into -1 12.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.123 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.124 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.125 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.125 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.125 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.125 * [taylor]: Taking taylor expansion of 0.5 in k 12.125 * [backup-simplify]: Simplify 0.5 into 0.5 12.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.125 * [taylor]: Taking taylor expansion of 1.0 in k 12.125 * [backup-simplify]: Simplify 1.0 into 1.0 12.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.125 * [taylor]: Taking taylor expansion of k in k 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (/ 1 1) into 1 12.126 * [taylor]: Taking taylor expansion of (log PI) in k 12.126 * [taylor]: Taking taylor expansion of PI in k 12.126 * [backup-simplify]: Simplify PI into PI 12.126 * [backup-simplify]: Simplify (log PI) into (log PI) 12.127 * [backup-simplify]: Simplify (- 1) into -1 12.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.127 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.128 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.129 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.129 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.129 * [taylor]: Taking taylor expansion of 1.0 in k 12.129 * [backup-simplify]: Simplify 1.0 into 1.0 12.129 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.129 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.129 * [taylor]: Taking taylor expansion of k in k 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 1 into 1 12.130 * [backup-simplify]: Simplify (sqrt 0) into 0 12.131 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.131 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.131 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.131 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.131 * [taylor]: Taking taylor expansion of 0.5 in k 12.131 * [backup-simplify]: Simplify 0.5 into 0.5 12.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.131 * [taylor]: Taking taylor expansion of 1.0 in k 12.131 * [backup-simplify]: Simplify 1.0 into 1.0 12.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.131 * [taylor]: Taking taylor expansion of k in k 12.132 * [backup-simplify]: Simplify 0 into 0 12.132 * [backup-simplify]: Simplify 1 into 1 12.132 * [backup-simplify]: Simplify (/ 1 1) into 1 12.132 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.132 * [taylor]: Taking taylor expansion of 2.0 in k 12.132 * [backup-simplify]: Simplify 2.0 into 2.0 12.132 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.133 * [backup-simplify]: Simplify (- 1) into -1 12.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.134 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.135 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.135 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.135 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.135 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.135 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.135 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.135 * [taylor]: Taking taylor expansion of 0.5 in k 12.135 * [backup-simplify]: Simplify 0.5 into 0.5 12.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.135 * [taylor]: Taking taylor expansion of 1.0 in k 12.135 * [backup-simplify]: Simplify 1.0 into 1.0 12.135 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.135 * [taylor]: Taking taylor expansion of k in k 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (/ 1 1) into 1 12.136 * [taylor]: Taking taylor expansion of (log PI) in k 12.136 * [taylor]: Taking taylor expansion of PI in k 12.136 * [backup-simplify]: Simplify PI into PI 12.137 * [backup-simplify]: Simplify (log PI) into (log PI) 12.137 * [backup-simplify]: Simplify (- 1) into -1 12.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.138 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.139 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.139 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.141 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 12.142 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 12.142 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.142 * [backup-simplify]: Simplify 0 into 0 12.144 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 12.145 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.147 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.148 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.150 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 12.153 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.158 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.159 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.161 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 12.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.172 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.173 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.178 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 12.179 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 12.179 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 12.179 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.179 * [taylor]: Taking taylor expansion of 1.0 in k 12.179 * [backup-simplify]: Simplify 1.0 into 1.0 12.179 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.179 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.179 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.179 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.179 * [taylor]: Taking taylor expansion of 0.5 in k 12.179 * [backup-simplify]: Simplify 0.5 into 0.5 12.179 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.179 * [taylor]: Taking taylor expansion of k in k 12.179 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (/ 1 1) into 1 12.180 * [taylor]: Taking taylor expansion of 1.0 in k 12.180 * [backup-simplify]: Simplify 1.0 into 1.0 12.180 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.180 * [taylor]: Taking taylor expansion of 2.0 in k 12.180 * [backup-simplify]: Simplify 2.0 into 2.0 12.180 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.181 * [backup-simplify]: Simplify (+ 1 0) into 1 12.181 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.182 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.183 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.183 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.183 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.183 * [taylor]: Taking taylor expansion of 0.5 in k 12.183 * [backup-simplify]: Simplify 0.5 into 0.5 12.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.183 * [taylor]: Taking taylor expansion of k in k 12.183 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify 1 into 1 12.183 * [backup-simplify]: Simplify (/ 1 1) into 1 12.183 * [taylor]: Taking taylor expansion of 1.0 in k 12.183 * [backup-simplify]: Simplify 1.0 into 1.0 12.183 * [taylor]: Taking taylor expansion of (log PI) in k 12.184 * [taylor]: Taking taylor expansion of PI in k 12.184 * [backup-simplify]: Simplify PI into PI 12.184 * [backup-simplify]: Simplify (log PI) into (log PI) 12.184 * [backup-simplify]: Simplify (+ 1 0) into 1 12.185 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.186 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.187 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.187 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.187 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.187 * [taylor]: Taking taylor expansion of -1 in k 12.187 * [backup-simplify]: Simplify -1 into -1 12.187 * [taylor]: Taking taylor expansion of k in k 12.187 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify 1 into 1 12.187 * [backup-simplify]: Simplify (/ -1 1) into -1 12.188 * [backup-simplify]: Simplify (sqrt 0) into 0 12.189 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.190 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.191 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.192 * [taylor]: Taking taylor expansion of 1.0 in k 12.192 * [backup-simplify]: Simplify 1.0 into 1.0 12.192 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.192 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.192 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.192 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.192 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.192 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.192 * [taylor]: Taking taylor expansion of 0.5 in k 12.192 * [backup-simplify]: Simplify 0.5 into 0.5 12.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.192 * [taylor]: Taking taylor expansion of k in k 12.192 * [backup-simplify]: Simplify 0 into 0 12.192 * [backup-simplify]: Simplify 1 into 1 12.192 * [backup-simplify]: Simplify (/ 1 1) into 1 12.192 * [taylor]: Taking taylor expansion of 1.0 in k 12.192 * [backup-simplify]: Simplify 1.0 into 1.0 12.193 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.193 * [taylor]: Taking taylor expansion of 2.0 in k 12.193 * [backup-simplify]: Simplify 2.0 into 2.0 12.193 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.193 * [backup-simplify]: Simplify (+ 1 0) into 1 12.194 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.195 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.195 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.195 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.195 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.195 * [taylor]: Taking taylor expansion of 0.5 in k 12.195 * [backup-simplify]: Simplify 0.5 into 0.5 12.195 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.195 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.195 * [taylor]: Taking taylor expansion of k in k 12.195 * [backup-simplify]: Simplify 0 into 0 12.195 * [backup-simplify]: Simplify 1 into 1 12.196 * [backup-simplify]: Simplify (/ 1 1) into 1 12.196 * [taylor]: Taking taylor expansion of 1.0 in k 12.196 * [backup-simplify]: Simplify 1.0 into 1.0 12.196 * [taylor]: Taking taylor expansion of (log PI) in k 12.196 * [taylor]: Taking taylor expansion of PI in k 12.196 * [backup-simplify]: Simplify PI into PI 12.196 * [backup-simplify]: Simplify (log PI) into (log PI) 12.196 * [backup-simplify]: Simplify (+ 1 0) into 1 12.197 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.197 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.198 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.198 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.198 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.198 * [taylor]: Taking taylor expansion of -1 in k 12.198 * [backup-simplify]: Simplify -1 into -1 12.198 * [taylor]: Taking taylor expansion of k in k 12.198 * [backup-simplify]: Simplify 0 into 0 12.198 * [backup-simplify]: Simplify 1 into 1 12.198 * [backup-simplify]: Simplify (/ -1 1) into -1 12.198 * [backup-simplify]: Simplify (sqrt 0) into 0 12.199 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.200 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.201 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.201 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.202 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.203 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.211 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.213 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.214 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.215 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.216 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.219 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.221 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.223 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.224 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.227 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.227 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.227 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.227 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.227 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.227 * [taylor]: Taking taylor expansion of 1.0 in k 12.227 * [backup-simplify]: Simplify 1.0 into 1.0 12.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.227 * [taylor]: Taking taylor expansion of k in k 12.227 * [backup-simplify]: Simplify 0 into 0 12.227 * [backup-simplify]: Simplify 1 into 1 12.227 * [backup-simplify]: Simplify (/ 1 1) into 1 12.228 * [backup-simplify]: Simplify (sqrt 0) into 0 12.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.229 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.229 * [taylor]: Taking taylor expansion of 1.0 in k 12.229 * [backup-simplify]: Simplify 1.0 into 1.0 12.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.229 * [taylor]: Taking taylor expansion of k in k 12.229 * [backup-simplify]: Simplify 0 into 0 12.229 * [backup-simplify]: Simplify 1 into 1 12.230 * [backup-simplify]: Simplify (/ 1 1) into 1 12.230 * [backup-simplify]: Simplify (sqrt 0) into 0 12.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.231 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.232 * [backup-simplify]: Simplify 0 into 0 12.232 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.233 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.235 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.236 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.236 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.241 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.241 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.242 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.242 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.242 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.242 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.242 * [taylor]: Taking taylor expansion of 1.0 in k 12.242 * [backup-simplify]: Simplify 1.0 into 1.0 12.242 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.242 * [taylor]: Taking taylor expansion of k in k 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (sqrt 0) into 0 12.243 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.243 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.243 * [taylor]: Taking taylor expansion of 1.0 in k 12.243 * [backup-simplify]: Simplify 1.0 into 1.0 12.243 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.243 * [taylor]: Taking taylor expansion of k in k 12.243 * [backup-simplify]: Simplify 0 into 0 12.243 * [backup-simplify]: Simplify 1 into 1 12.243 * [backup-simplify]: Simplify (sqrt 0) into 0 12.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.244 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.244 * [backup-simplify]: Simplify 0 into 0 12.245 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.246 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.247 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.248 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.249 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.252 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.253 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.254 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.254 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.254 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.254 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.254 * [taylor]: Taking taylor expansion of 1.0 in k 12.254 * [backup-simplify]: Simplify 1.0 into 1.0 12.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.254 * [taylor]: Taking taylor expansion of -1 in k 12.254 * [backup-simplify]: Simplify -1 into -1 12.254 * [taylor]: Taking taylor expansion of k in k 12.254 * [backup-simplify]: Simplify 0 into 0 12.254 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (/ -1 1) into -1 12.254 * [backup-simplify]: Simplify (sqrt 0) into 0 12.255 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.256 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.256 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.256 * [taylor]: Taking taylor expansion of 1.0 in k 12.256 * [backup-simplify]: Simplify 1.0 into 1.0 12.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.256 * [taylor]: Taking taylor expansion of -1 in k 12.256 * [backup-simplify]: Simplify -1 into -1 12.256 * [taylor]: Taking taylor expansion of k in k 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 1 into 1 12.257 * [backup-simplify]: Simplify (/ -1 1) into -1 12.257 * [backup-simplify]: Simplify (sqrt 0) into 0 12.258 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.259 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.259 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.265 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.266 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.275 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.276 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.277 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.277 * * * [progress]: simplifying candidates 12.282 * [simplify]: Simplifying: (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (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)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt 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PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.288 * * [simplify]: Extracting # 0 : cost 0 12.288 * * [simplify]: Extracting # 1 : cost 0 12.288 * * [simplify]: Extracting # 2 : cost 0 12.289 * * [simplify]: Extracting # 3 : cost 0 12.289 * * [simplify]: Extracting # 4 : cost 0 12.290 * * [simplify]: Extracting # 5 : cost 0 12.290 * * [simplify]: Extracting # 6 : cost 0 12.291 * * [simplify]: Extracting # 7 : cost 0 12.291 * * [simplify]: Extracting # 8 : cost 0 12.292 * * [simplify]: Extracting # 9 : cost 0 12.292 * * [simplify]: Extracting # 10 : cost 0 12.293 * * [simplify]: Extracting # 11 : cost 0 12.293 * * [simplify]: Extracting # 12 : cost 0 12.294 * * [simplify]: Extracting # 13 : cost 0 12.294 * * [simplify]: Extracting # 14 : cost 0 12.295 * * [simplify]: Extracting # 15 : cost 0 12.296 * * [simplify]: Extracting # 16 : cost 0 12.296 * * [simplify]: Extracting # 17 : cost 0 12.297 * * [simplify]: Extracting # 18 : cost 0 12.297 * * [simplify]: Extracting # 19 : cost 0 12.298 * * [simplify]: Extracting # 20 : cost 0 12.298 * * [simplify]: Extracting # 21 : cost 0 12.304 * * [simplify]: Extracting # 22 : cost 0 12.305 * * [simplify]: Extracting # 23 : cost 0 12.306 * * [simplify]: Extracting # 24 : cost 0 12.306 * * [simplify]: Extracting # 25 : cost 0 12.307 * * [simplify]: Extracting # 26 : cost 0 12.307 * * [simplify]: Extracting # 27 : cost 0 12.308 * * [simplify]: Extracting # 28 : cost 0 12.308 * * [simplify]: Extracting # 29 : cost 0 12.309 * * [simplify]: Extracting # 30 : cost 0 12.309 * * [simplify]: Extracting # 31 : cost 0 12.310 * * [simplify]: Extracting # 32 : cost 0 12.310 * * [simplify]: iteration 0 : 376 enodes (cost 3141 ) 12.439 * * [simplify]: Extracting # 0 : cost 0 12.441 * * [simplify]: Extracting # 1 : cost 0 12.442 * * [simplify]: Extracting # 2 : cost 0 12.445 * * [simplify]: Extracting # 3 : cost 0 12.447 * * [simplify]: Extracting # 4 : cost 0 12.450 * * [simplify]: Extracting # 5 : cost 0 12.452 * * [simplify]: Extracting # 6 : cost 0 12.455 * * [simplify]: iteration 1 : 1009 enodes (cost 2818 ) 12.993 * * [simplify]: Extracting # 0 : cost 0 12.997 * * [simplify]: Extracting # 1 : cost 0 13.002 * * [simplify]: Extracting # 2 : cost 0 13.006 * * [simplify]: Extracting # 3 : cost 0 13.010 * * [simplify]: Extracting # 4 : cost 0 13.015 * * [simplify]: Extracting # 5 : cost 0 13.019 * * [simplify]: iteration 2 : 3225 enodes (cost 2638 ) 14.268 * * [simplify]: Extracting # 0 : cost 0 14.289 * * [simplify]: Extracting # 1 : cost 0 14.302 * * [simplify]: Extracting # 2 : cost 0 14.315 * * [simplify]: Extracting # 3 : cost 0 14.328 * * [simplify]: Extracting # 4 : cost 0 14.341 * * [simplify]: iteration done: 5000 enodes (cost 2624 ) 14.344 * [simplify]: Simplified to: (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ 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2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ 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k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (+ (- (* +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)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))))) (+ (/ (* (- +nan.0) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))))) (* k k)) (* +nan.0 (- (/ (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) k) (/ (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) k) (* (/ (pow 2.0 (* 0.5 (- 1.0 k))) (pow k 2)) (pow PI (* 0.5 (- 1.0 k)))))) (* (- +nan.0) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 14.347 * * * [progress]: adding candidates to table 15.302 * * [progress]: iteration 4 / 4 15.302 * * * [progress]: picking best candidate 15.341 * * * * [pick]: Picked # 15.341 * * * [progress]: localizing error 15.370 * * * [progress]: generating rewritten candidates 15.370 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 15.386 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 15.401 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 15.422 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 15.475 * * * [progress]: generating series expansions 15.475 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 15.475 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 15.475 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 15.476 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 15.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 15.476 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 15.476 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.476 * [taylor]: Taking taylor expansion of 0.5 in k 15.476 * [backup-simplify]: Simplify 0.5 into 0.5 15.476 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.476 * [taylor]: Taking taylor expansion of 1.0 in k 15.476 * [backup-simplify]: Simplify 1.0 into 1.0 15.476 * [taylor]: Taking taylor expansion of k in k 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 1 into 1 15.476 * [taylor]: Taking taylor expansion of (log PI) in k 15.476 * [taylor]: Taking taylor expansion of PI in k 15.476 * [backup-simplify]: Simplify PI into PI 15.477 * [backup-simplify]: Simplify (log PI) into (log PI) 15.477 * [backup-simplify]: Simplify (- 0) into 0 15.478 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.478 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.479 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.480 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 15.480 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 15.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 15.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 15.480 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.480 * [taylor]: Taking taylor expansion of 0.5 in k 15.480 * [backup-simplify]: Simplify 0.5 into 0.5 15.480 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.480 * [taylor]: Taking taylor expansion of 1.0 in k 15.480 * [backup-simplify]: Simplify 1.0 into 1.0 15.480 * [taylor]: Taking taylor expansion of k in k 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [taylor]: Taking taylor expansion of (log PI) in k 15.480 * [taylor]: Taking taylor expansion of PI in k 15.480 * [backup-simplify]: Simplify PI into PI 15.481 * [backup-simplify]: Simplify (log PI) into (log PI) 15.481 * [backup-simplify]: Simplify (- 0) into 0 15.481 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.481 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.482 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.483 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 15.484 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 15.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.485 * [backup-simplify]: Simplify (- 1) into -1 15.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.486 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 15.488 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 15.494 * [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))) 15.496 * [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))) 15.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 15.498 * [backup-simplify]: Simplify (- 0) into 0 15.499 * [backup-simplify]: Simplify (+ 0 0) into 0 15.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 15.517 * [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))) 15.522 * [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))) 15.531 * [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)))) 15.532 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 15.532 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 15.532 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 15.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 15.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 15.532 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.532 * [taylor]: Taking taylor expansion of 0.5 in k 15.532 * [backup-simplify]: Simplify 0.5 into 0.5 15.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.532 * [taylor]: Taking taylor expansion of 1.0 in k 15.532 * [backup-simplify]: Simplify 1.0 into 1.0 15.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.532 * [taylor]: Taking taylor expansion of k in k 15.532 * [backup-simplify]: Simplify 0 into 0 15.532 * [backup-simplify]: Simplify 1 into 1 15.533 * [backup-simplify]: Simplify (/ 1 1) into 1 15.533 * [taylor]: Taking taylor expansion of (log PI) in k 15.533 * [taylor]: Taking taylor expansion of PI in k 15.533 * [backup-simplify]: Simplify PI into PI 15.533 * [backup-simplify]: Simplify (log PI) into (log PI) 15.534 * [backup-simplify]: Simplify (- 1) into -1 15.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.534 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.536 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 15.536 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.536 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 15.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 15.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 15.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.537 * [taylor]: Taking taylor expansion of 0.5 in k 15.537 * [backup-simplify]: Simplify 0.5 into 0.5 15.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.537 * [taylor]: Taking taylor expansion of 1.0 in k 15.537 * [backup-simplify]: Simplify 1.0 into 1.0 15.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.537 * [taylor]: Taking taylor expansion of k in k 15.537 * [backup-simplify]: Simplify 0 into 0 15.537 * [backup-simplify]: Simplify 1 into 1 15.537 * [backup-simplify]: Simplify (/ 1 1) into 1 15.537 * [taylor]: Taking taylor expansion of (log PI) in k 15.537 * [taylor]: Taking taylor expansion of PI in k 15.537 * [backup-simplify]: Simplify PI into PI 15.538 * [backup-simplify]: Simplify (log PI) into (log PI) 15.538 * [backup-simplify]: Simplify (- 1) into -1 15.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.539 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.540 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 15.541 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.541 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 15.541 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 15.543 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 15.543 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 15.543 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 15.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 15.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 15.543 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.543 * [taylor]: Taking taylor expansion of 0.5 in k 15.543 * [backup-simplify]: Simplify 0.5 into 0.5 15.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.543 * [taylor]: Taking taylor expansion of k in k 15.543 * [backup-simplify]: Simplify 0 into 0 15.543 * [backup-simplify]: Simplify 1 into 1 15.543 * [backup-simplify]: Simplify (/ 1 1) into 1 15.543 * [taylor]: Taking taylor expansion of 1.0 in k 15.543 * [backup-simplify]: Simplify 1.0 into 1.0 15.543 * [taylor]: Taking taylor expansion of (log PI) in k 15.544 * [taylor]: Taking taylor expansion of PI in k 15.544 * [backup-simplify]: Simplify PI into PI 15.544 * [backup-simplify]: Simplify (log PI) into (log PI) 15.544 * [backup-simplify]: Simplify (+ 1 0) into 1 15.545 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.546 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.547 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.547 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 15.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 15.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 15.547 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.547 * [taylor]: Taking taylor expansion of 0.5 in k 15.547 * [backup-simplify]: Simplify 0.5 into 0.5 15.547 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.547 * [taylor]: Taking taylor expansion of k in k 15.547 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify 1 into 1 15.547 * [backup-simplify]: Simplify (/ 1 1) into 1 15.547 * [taylor]: Taking taylor expansion of 1.0 in k 15.547 * [backup-simplify]: Simplify 1.0 into 1.0 15.547 * [taylor]: Taking taylor expansion of (log PI) in k 15.547 * [taylor]: Taking taylor expansion of PI in k 15.547 * [backup-simplify]: Simplify PI into PI 15.547 * [backup-simplify]: Simplify (log PI) into (log PI) 15.548 * [backup-simplify]: Simplify (+ 1 0) into 1 15.548 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.549 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 15.549 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.549 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 0 into 0 15.549 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 15.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 15.550 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 15.550 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 15.550 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 15.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 15.550 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 15.550 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.550 * [taylor]: Taking taylor expansion of 0.25 in k 15.550 * [backup-simplify]: Simplify 0.25 into 0.25 15.550 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.550 * [taylor]: Taking taylor expansion of 1.0 in k 15.550 * [backup-simplify]: Simplify 1.0 into 1.0 15.550 * [taylor]: Taking taylor expansion of k in k 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 1 into 1 15.550 * [taylor]: Taking taylor expansion of (log n) in k 15.550 * [taylor]: Taking taylor expansion of n in k 15.550 * [backup-simplify]: Simplify n into n 15.550 * [backup-simplify]: Simplify (log n) into (log n) 15.551 * [backup-simplify]: Simplify (- 0) into 0 15.551 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.551 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.551 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 15.551 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.551 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.551 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.551 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.551 * [taylor]: Taking taylor expansion of 0.25 in n 15.551 * [backup-simplify]: Simplify 0.25 into 0.25 15.552 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.552 * [taylor]: Taking taylor expansion of 1.0 in n 15.552 * [backup-simplify]: Simplify 1.0 into 1.0 15.552 * [taylor]: Taking taylor expansion of k in n 15.552 * [backup-simplify]: Simplify k into k 15.552 * [taylor]: Taking taylor expansion of (log n) in n 15.552 * [taylor]: Taking taylor expansion of n in n 15.552 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify 1 into 1 15.552 * [backup-simplify]: Simplify (log 1) into 0 15.552 * [backup-simplify]: Simplify (- k) into (- k) 15.552 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.552 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.552 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.552 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.553 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.553 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.553 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.553 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.553 * [taylor]: Taking taylor expansion of 0.25 in n 15.553 * [backup-simplify]: Simplify 0.25 into 0.25 15.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.553 * [taylor]: Taking taylor expansion of 1.0 in n 15.553 * [backup-simplify]: Simplify 1.0 into 1.0 15.553 * [taylor]: Taking taylor expansion of k in n 15.553 * [backup-simplify]: Simplify k into k 15.553 * [taylor]: Taking taylor expansion of (log n) in n 15.553 * [taylor]: Taking taylor expansion of n in n 15.553 * [backup-simplify]: Simplify 0 into 0 15.553 * [backup-simplify]: Simplify 1 into 1 15.553 * [backup-simplify]: Simplify (log 1) into 0 15.553 * [backup-simplify]: Simplify (- k) into (- k) 15.553 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.553 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.553 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.553 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.554 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.554 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 15.554 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 15.554 * [taylor]: Taking taylor expansion of 0.25 in k 15.554 * [backup-simplify]: Simplify 0.25 into 0.25 15.554 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.554 * [taylor]: Taking taylor expansion of 1.0 in k 15.554 * [backup-simplify]: Simplify 1.0 into 1.0 15.554 * [taylor]: Taking taylor expansion of k in k 15.554 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify 1 into 1 15.554 * [taylor]: Taking taylor expansion of (log n) in k 15.554 * [taylor]: Taking taylor expansion of n in k 15.554 * [backup-simplify]: Simplify n into n 15.554 * [backup-simplify]: Simplify (log n) into (log n) 15.554 * [backup-simplify]: Simplify (- 0) into 0 15.554 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.555 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.555 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 15.555 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.555 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 15.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.556 * [backup-simplify]: Simplify (- 0) into 0 15.556 * [backup-simplify]: Simplify (+ 0 0) into 0 15.556 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.557 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.557 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.557 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.557 * [taylor]: Taking taylor expansion of 0 in k 15.557 * [backup-simplify]: Simplify 0 into 0 15.557 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.558 * [backup-simplify]: Simplify (- 1) into -1 15.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.559 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.559 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 15.559 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.559 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.561 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.561 * [backup-simplify]: Simplify (- 0) into 0 15.561 * [backup-simplify]: Simplify (+ 0 0) into 0 15.562 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.562 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.563 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.563 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.563 * [taylor]: Taking taylor expansion of 0 in k 15.563 * [backup-simplify]: Simplify 0 into 0 15.563 * [backup-simplify]: Simplify 0 into 0 15.563 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.565 * [backup-simplify]: Simplify (- 0) into 0 15.565 * [backup-simplify]: Simplify (+ 0 0) into 0 15.566 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.566 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.567 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.567 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.568 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 15.568 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 15.568 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 15.568 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 15.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.568 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.568 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 15.568 * [taylor]: Taking taylor expansion of 0.25 in k 15.568 * [backup-simplify]: Simplify 0.25 into 0.25 15.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.568 * [taylor]: Taking taylor expansion of 1.0 in k 15.568 * [backup-simplify]: Simplify 1.0 into 1.0 15.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.568 * [taylor]: Taking taylor expansion of k in k 15.568 * [backup-simplify]: Simplify 0 into 0 15.568 * [backup-simplify]: Simplify 1 into 1 15.568 * [backup-simplify]: Simplify (/ 1 1) into 1 15.568 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.568 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.568 * [taylor]: Taking taylor expansion of n in k 15.568 * [backup-simplify]: Simplify n into n 15.569 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.569 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.569 * [backup-simplify]: Simplify (- 1) into -1 15.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.569 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 15.570 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 15.570 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.570 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.570 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.570 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.570 * [taylor]: Taking taylor expansion of 0.25 in n 15.570 * [backup-simplify]: Simplify 0.25 into 0.25 15.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.570 * [taylor]: Taking taylor expansion of 1.0 in n 15.570 * [backup-simplify]: Simplify 1.0 into 1.0 15.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.570 * [taylor]: Taking taylor expansion of k in n 15.570 * [backup-simplify]: Simplify k into k 15.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.570 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.570 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.570 * [taylor]: Taking taylor expansion of n in n 15.570 * [backup-simplify]: Simplify 0 into 0 15.570 * [backup-simplify]: Simplify 1 into 1 15.570 * [backup-simplify]: Simplify (/ 1 1) into 1 15.571 * [backup-simplify]: Simplify (log 1) into 0 15.571 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.571 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.571 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.571 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.571 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.571 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.571 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.571 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.571 * [taylor]: Taking taylor expansion of 0.25 in n 15.571 * [backup-simplify]: Simplify 0.25 into 0.25 15.571 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.571 * [taylor]: Taking taylor expansion of 1.0 in n 15.571 * [backup-simplify]: Simplify 1.0 into 1.0 15.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.571 * [taylor]: Taking taylor expansion of k in n 15.571 * [backup-simplify]: Simplify k into k 15.572 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.572 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.572 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.572 * [taylor]: Taking taylor expansion of n in n 15.572 * [backup-simplify]: Simplify 0 into 0 15.572 * [backup-simplify]: Simplify 1 into 1 15.572 * [backup-simplify]: Simplify (/ 1 1) into 1 15.572 * [backup-simplify]: Simplify (log 1) into 0 15.572 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.572 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.572 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.573 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.573 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.573 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.573 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 15.573 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 15.573 * [taylor]: Taking taylor expansion of -0.25 in k 15.573 * [backup-simplify]: Simplify -0.25 into -0.25 15.573 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.573 * [taylor]: Taking taylor expansion of (log n) in k 15.573 * [taylor]: Taking taylor expansion of n in k 15.573 * [backup-simplify]: Simplify n into n 15.573 * [backup-simplify]: Simplify (log n) into (log n) 15.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.573 * [taylor]: Taking taylor expansion of 1.0 in k 15.573 * [backup-simplify]: Simplify 1.0 into 1.0 15.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.573 * [taylor]: Taking taylor expansion of k in k 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify 1 into 1 15.573 * [backup-simplify]: Simplify (/ 1 1) into 1 15.574 * [backup-simplify]: Simplify (- 1) into -1 15.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.574 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.574 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 15.574 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.574 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.576 * [backup-simplify]: Simplify (- 0) into 0 15.576 * [backup-simplify]: Simplify (+ 0 0) into 0 15.576 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.577 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.577 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.577 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.578 * [taylor]: Taking taylor expansion of 0 in k 15.578 * [backup-simplify]: Simplify 0 into 0 15.578 * [backup-simplify]: Simplify 0 into 0 15.578 * [backup-simplify]: Simplify 0 into 0 15.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.581 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.581 * [backup-simplify]: Simplify (- 0) into 0 15.582 * [backup-simplify]: Simplify (+ 0 0) into 0 15.583 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.583 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.584 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.585 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.585 * [taylor]: Taking taylor expansion of 0 in k 15.585 * [backup-simplify]: Simplify 0 into 0 15.585 * [backup-simplify]: Simplify 0 into 0 15.585 * [backup-simplify]: Simplify 0 into 0 15.586 * [backup-simplify]: Simplify 0 into 0 15.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.592 * [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 15.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.593 * [backup-simplify]: Simplify (- 0) into 0 15.593 * [backup-simplify]: Simplify (+ 0 0) into 0 15.595 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.597 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.599 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.599 * [taylor]: Taking taylor expansion of 0 in k 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 15.599 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 15.599 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 15.599 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 15.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.599 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.600 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 15.600 * [taylor]: Taking taylor expansion of 0.25 in k 15.600 * [backup-simplify]: Simplify 0.25 into 0.25 15.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.600 * [taylor]: Taking taylor expansion of k in k 15.600 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify 1 into 1 15.600 * [backup-simplify]: Simplify (/ 1 1) into 1 15.600 * [taylor]: Taking taylor expansion of 1.0 in k 15.600 * [backup-simplify]: Simplify 1.0 into 1.0 15.600 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.600 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.600 * [taylor]: Taking taylor expansion of -1 in k 15.600 * [backup-simplify]: Simplify -1 into -1 15.600 * [taylor]: Taking taylor expansion of n in k 15.600 * [backup-simplify]: Simplify n into n 15.600 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.601 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.601 * [backup-simplify]: Simplify (+ 1 0) into 1 15.602 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.602 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 15.602 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.602 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.602 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.602 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.602 * [taylor]: Taking taylor expansion of 0.25 in n 15.602 * [backup-simplify]: Simplify 0.25 into 0.25 15.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.602 * [taylor]: Taking taylor expansion of k in n 15.602 * [backup-simplify]: Simplify k into k 15.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.602 * [taylor]: Taking taylor expansion of 1.0 in n 15.602 * [backup-simplify]: Simplify 1.0 into 1.0 15.602 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.602 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.602 * [taylor]: Taking taylor expansion of -1 in n 15.602 * [backup-simplify]: Simplify -1 into -1 15.602 * [taylor]: Taking taylor expansion of n in n 15.603 * [backup-simplify]: Simplify 0 into 0 15.603 * [backup-simplify]: Simplify 1 into 1 15.603 * [backup-simplify]: Simplify (/ -1 1) into -1 15.603 * [backup-simplify]: Simplify (log -1) into (log -1) 15.604 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.604 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.605 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.605 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.606 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.606 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.606 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.606 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.606 * [taylor]: Taking taylor expansion of 0.25 in n 15.606 * [backup-simplify]: Simplify 0.25 into 0.25 15.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.606 * [taylor]: Taking taylor expansion of k in n 15.606 * [backup-simplify]: Simplify k into k 15.606 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.606 * [taylor]: Taking taylor expansion of 1.0 in n 15.606 * [backup-simplify]: Simplify 1.0 into 1.0 15.606 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.606 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.606 * [taylor]: Taking taylor expansion of -1 in n 15.606 * [backup-simplify]: Simplify -1 into -1 15.606 * [taylor]: Taking taylor expansion of n in n 15.607 * [backup-simplify]: Simplify 0 into 0 15.607 * [backup-simplify]: Simplify 1 into 1 15.607 * [backup-simplify]: Simplify (/ -1 1) into -1 15.607 * [backup-simplify]: Simplify (log -1) into (log -1) 15.608 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.608 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.609 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.610 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.610 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.610 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.610 * [taylor]: Taking taylor expansion of 0.25 in k 15.610 * [backup-simplify]: Simplify 0.25 into 0.25 15.610 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.610 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.610 * [taylor]: Taking taylor expansion of (log -1) in k 15.610 * [taylor]: Taking taylor expansion of -1 in k 15.610 * [backup-simplify]: Simplify -1 into -1 15.611 * [backup-simplify]: Simplify (log -1) into (log -1) 15.611 * [taylor]: Taking taylor expansion of (log n) in k 15.611 * [taylor]: Taking taylor expansion of n in k 15.611 * [backup-simplify]: Simplify n into n 15.611 * [backup-simplify]: Simplify (log n) into (log n) 15.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.611 * [taylor]: Taking taylor expansion of k in k 15.611 * [backup-simplify]: Simplify 0 into 0 15.611 * [backup-simplify]: Simplify 1 into 1 15.611 * [backup-simplify]: Simplify (/ 1 1) into 1 15.611 * [taylor]: Taking taylor expansion of 1.0 in k 15.611 * [backup-simplify]: Simplify 1.0 into 1.0 15.612 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.612 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.612 * [backup-simplify]: Simplify (+ 1 0) into 1 15.613 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.613 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 15.614 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.615 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.617 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.618 * [backup-simplify]: Simplify (+ 0 0) into 0 15.618 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.619 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.620 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.621 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.621 * [taylor]: Taking taylor expansion of 0 in k 15.621 * [backup-simplify]: Simplify 0 into 0 15.622 * [backup-simplify]: Simplify 0 into 0 15.622 * [backup-simplify]: Simplify 0 into 0 15.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.626 * [backup-simplify]: Simplify (+ 0 0) into 0 15.627 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.628 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.629 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.631 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.631 * [taylor]: Taking taylor expansion of 0 in k 15.631 * [backup-simplify]: Simplify 0 into 0 15.631 * [backup-simplify]: Simplify 0 into 0 15.631 * [backup-simplify]: Simplify 0 into 0 15.631 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.638 * [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 15.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.639 * [backup-simplify]: Simplify (+ 0 0) into 0 15.641 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.643 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.645 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 15.645 * [taylor]: Taking taylor expansion of 0 in k 15.645 * [backup-simplify]: Simplify 0 into 0 15.645 * [backup-simplify]: Simplify 0 into 0 15.646 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.646 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 15.647 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 15.647 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 15.647 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 15.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 15.647 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 15.647 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.647 * [taylor]: Taking taylor expansion of 0.25 in k 15.647 * [backup-simplify]: Simplify 0.25 into 0.25 15.647 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.647 * [taylor]: Taking taylor expansion of 1.0 in k 15.647 * [backup-simplify]: Simplify 1.0 into 1.0 15.647 * [taylor]: Taking taylor expansion of k in k 15.647 * [backup-simplify]: Simplify 0 into 0 15.647 * [backup-simplify]: Simplify 1 into 1 15.647 * [taylor]: Taking taylor expansion of (log n) in k 15.647 * [taylor]: Taking taylor expansion of n in k 15.647 * [backup-simplify]: Simplify n into n 15.647 * [backup-simplify]: Simplify (log n) into (log n) 15.648 * [backup-simplify]: Simplify (- 0) into 0 15.648 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.649 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.649 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 15.649 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.649 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.649 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.649 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.649 * [taylor]: Taking taylor expansion of 0.25 in n 15.649 * [backup-simplify]: Simplify 0.25 into 0.25 15.649 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.649 * [taylor]: Taking taylor expansion of 1.0 in n 15.649 * [backup-simplify]: Simplify 1.0 into 1.0 15.649 * [taylor]: Taking taylor expansion of k in n 15.649 * [backup-simplify]: Simplify k into k 15.649 * [taylor]: Taking taylor expansion of (log n) in n 15.649 * [taylor]: Taking taylor expansion of n in n 15.649 * [backup-simplify]: Simplify 0 into 0 15.649 * [backup-simplify]: Simplify 1 into 1 15.650 * [backup-simplify]: Simplify (log 1) into 0 15.650 * [backup-simplify]: Simplify (- k) into (- k) 15.650 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.650 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.650 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.650 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.651 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.651 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.651 * [taylor]: Taking taylor expansion of 0.25 in n 15.651 * [backup-simplify]: Simplify 0.25 into 0.25 15.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.651 * [taylor]: Taking taylor expansion of 1.0 in n 15.651 * [backup-simplify]: Simplify 1.0 into 1.0 15.651 * [taylor]: Taking taylor expansion of k in n 15.651 * [backup-simplify]: Simplify k into k 15.651 * [taylor]: Taking taylor expansion of (log n) in n 15.651 * [taylor]: Taking taylor expansion of n in n 15.651 * [backup-simplify]: Simplify 0 into 0 15.651 * [backup-simplify]: Simplify 1 into 1 15.652 * [backup-simplify]: Simplify (log 1) into 0 15.652 * [backup-simplify]: Simplify (- k) into (- k) 15.652 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.652 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.661 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.661 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.662 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.662 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 15.662 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 15.662 * [taylor]: Taking taylor expansion of 0.25 in k 15.662 * [backup-simplify]: Simplify 0.25 into 0.25 15.662 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.662 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.662 * [taylor]: Taking taylor expansion of 1.0 in k 15.662 * [backup-simplify]: Simplify 1.0 into 1.0 15.662 * [taylor]: Taking taylor expansion of k in k 15.662 * [backup-simplify]: Simplify 0 into 0 15.662 * [backup-simplify]: Simplify 1 into 1 15.662 * [taylor]: Taking taylor expansion of (log n) in k 15.662 * [taylor]: Taking taylor expansion of n in k 15.662 * [backup-simplify]: Simplify n into n 15.662 * [backup-simplify]: Simplify (log n) into (log n) 15.663 * [backup-simplify]: Simplify (- 0) into 0 15.663 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.663 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.664 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 15.664 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.664 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 15.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.666 * [backup-simplify]: Simplify (- 0) into 0 15.666 * [backup-simplify]: Simplify (+ 0 0) into 0 15.667 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.667 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.667 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.668 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.668 * [taylor]: Taking taylor expansion of 0 in k 15.668 * [backup-simplify]: Simplify 0 into 0 15.668 * [backup-simplify]: Simplify 0 into 0 15.669 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.670 * [backup-simplify]: Simplify (- 1) into -1 15.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.671 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.671 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 15.671 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.672 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.675 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.675 * [backup-simplify]: Simplify (- 0) into 0 15.676 * [backup-simplify]: Simplify (+ 0 0) into 0 15.677 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.677 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.678 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.679 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.679 * [taylor]: Taking taylor expansion of 0 in k 15.679 * [backup-simplify]: Simplify 0 into 0 15.679 * [backup-simplify]: Simplify 0 into 0 15.679 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.682 * [backup-simplify]: Simplify (- 0) into 0 15.682 * [backup-simplify]: Simplify (+ 0 0) into 0 15.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.683 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.685 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.685 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.686 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) 15.687 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 15.687 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 15.687 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 15.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.687 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.687 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 15.687 * [taylor]: Taking taylor expansion of 0.25 in k 15.687 * [backup-simplify]: Simplify 0.25 into 0.25 15.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.687 * [taylor]: Taking taylor expansion of 1.0 in k 15.687 * [backup-simplify]: Simplify 1.0 into 1.0 15.687 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.687 * [taylor]: Taking taylor expansion of k in k 15.687 * [backup-simplify]: Simplify 0 into 0 15.687 * [backup-simplify]: Simplify 1 into 1 15.688 * [backup-simplify]: Simplify (/ 1 1) into 1 15.688 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.688 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.688 * [taylor]: Taking taylor expansion of n in k 15.688 * [backup-simplify]: Simplify n into n 15.688 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.688 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.688 * [backup-simplify]: Simplify (- 1) into -1 15.689 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.689 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 15.689 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 15.689 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.690 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.690 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.690 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.690 * [taylor]: Taking taylor expansion of 0.25 in n 15.690 * [backup-simplify]: Simplify 0.25 into 0.25 15.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.690 * [taylor]: Taking taylor expansion of 1.0 in n 15.690 * [backup-simplify]: Simplify 1.0 into 1.0 15.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.690 * [taylor]: Taking taylor expansion of k in n 15.690 * [backup-simplify]: Simplify k into k 15.690 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.690 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.690 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.690 * [taylor]: Taking taylor expansion of n in n 15.690 * [backup-simplify]: Simplify 0 into 0 15.690 * [backup-simplify]: Simplify 1 into 1 15.691 * [backup-simplify]: Simplify (/ 1 1) into 1 15.691 * [backup-simplify]: Simplify (log 1) into 0 15.691 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.691 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.691 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.692 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.692 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.692 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.692 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.692 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.692 * [taylor]: Taking taylor expansion of 0.25 in n 15.692 * [backup-simplify]: Simplify 0.25 into 0.25 15.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.692 * [taylor]: Taking taylor expansion of 1.0 in n 15.692 * [backup-simplify]: Simplify 1.0 into 1.0 15.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.692 * [taylor]: Taking taylor expansion of k in n 15.692 * [backup-simplify]: Simplify k into k 15.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.692 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.693 * [taylor]: Taking taylor expansion of n in n 15.693 * [backup-simplify]: Simplify 0 into 0 15.693 * [backup-simplify]: Simplify 1 into 1 15.693 * [backup-simplify]: Simplify (/ 1 1) into 1 15.693 * [backup-simplify]: Simplify (log 1) into 0 15.693 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.694 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.694 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.694 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.695 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.695 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 15.695 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 15.695 * [taylor]: Taking taylor expansion of -0.25 in k 15.695 * [backup-simplify]: Simplify -0.25 into -0.25 15.695 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.695 * [taylor]: Taking taylor expansion of (log n) in k 15.695 * [taylor]: Taking taylor expansion of n in k 15.695 * [backup-simplify]: Simplify n into n 15.695 * [backup-simplify]: Simplify (log n) into (log n) 15.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.695 * [taylor]: Taking taylor expansion of 1.0 in k 15.695 * [backup-simplify]: Simplify 1.0 into 1.0 15.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.695 * [taylor]: Taking taylor expansion of k in k 15.695 * [backup-simplify]: Simplify 0 into 0 15.695 * [backup-simplify]: Simplify 1 into 1 15.696 * [backup-simplify]: Simplify (/ 1 1) into 1 15.696 * [backup-simplify]: Simplify (- 1) into -1 15.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.697 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.697 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 15.697 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.697 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.700 * [backup-simplify]: Simplify (- 0) into 0 15.701 * [backup-simplify]: Simplify (+ 0 0) into 0 15.701 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.702 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.703 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.703 * [taylor]: Taking taylor expansion of 0 in k 15.703 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify 0 into 0 15.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.707 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.707 * [backup-simplify]: Simplify (- 0) into 0 15.708 * [backup-simplify]: Simplify (+ 0 0) into 0 15.709 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.710 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.712 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.712 * [taylor]: Taking taylor expansion of 0 in k 15.712 * [backup-simplify]: Simplify 0 into 0 15.712 * [backup-simplify]: Simplify 0 into 0 15.712 * [backup-simplify]: Simplify 0 into 0 15.712 * [backup-simplify]: Simplify 0 into 0 15.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.718 * [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 15.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.719 * [backup-simplify]: Simplify (- 0) into 0 15.719 * [backup-simplify]: Simplify (+ 0 0) into 0 15.721 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.722 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.724 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.724 * [taylor]: Taking taylor expansion of 0 in k 15.724 * [backup-simplify]: Simplify 0 into 0 15.724 * [backup-simplify]: Simplify 0 into 0 15.725 * [backup-simplify]: Simplify (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 15.725 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 15.725 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 15.725 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 15.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.725 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.725 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 15.725 * [taylor]: Taking taylor expansion of 0.25 in k 15.725 * [backup-simplify]: Simplify 0.25 into 0.25 15.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.725 * [taylor]: Taking taylor expansion of k in k 15.726 * [backup-simplify]: Simplify 0 into 0 15.726 * [backup-simplify]: Simplify 1 into 1 15.726 * [backup-simplify]: Simplify (/ 1 1) into 1 15.726 * [taylor]: Taking taylor expansion of 1.0 in k 15.726 * [backup-simplify]: Simplify 1.0 into 1.0 15.726 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.726 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.726 * [taylor]: Taking taylor expansion of -1 in k 15.726 * [backup-simplify]: Simplify -1 into -1 15.726 * [taylor]: Taking taylor expansion of n in k 15.726 * [backup-simplify]: Simplify n into n 15.726 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.726 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.727 * [backup-simplify]: Simplify (+ 1 0) into 1 15.727 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.727 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 15.728 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.728 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.728 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.728 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.728 * [taylor]: Taking taylor expansion of 0.25 in n 15.728 * [backup-simplify]: Simplify 0.25 into 0.25 15.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.728 * [taylor]: Taking taylor expansion of k in n 15.728 * [backup-simplify]: Simplify k into k 15.728 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.728 * [taylor]: Taking taylor expansion of 1.0 in n 15.728 * [backup-simplify]: Simplify 1.0 into 1.0 15.728 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.728 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.728 * [taylor]: Taking taylor expansion of -1 in n 15.728 * [backup-simplify]: Simplify -1 into -1 15.728 * [taylor]: Taking taylor expansion of n in n 15.728 * [backup-simplify]: Simplify 0 into 0 15.728 * [backup-simplify]: Simplify 1 into 1 15.729 * [backup-simplify]: Simplify (/ -1 1) into -1 15.729 * [backup-simplify]: Simplify (log -1) into (log -1) 15.729 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.729 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.730 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.731 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.731 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.731 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.732 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.732 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.732 * [taylor]: Taking taylor expansion of 0.25 in n 15.732 * [backup-simplify]: Simplify 0.25 into 0.25 15.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.732 * [taylor]: Taking taylor expansion of k in n 15.732 * [backup-simplify]: Simplify k into k 15.732 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.732 * [taylor]: Taking taylor expansion of 1.0 in n 15.732 * [backup-simplify]: Simplify 1.0 into 1.0 15.732 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.732 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.732 * [taylor]: Taking taylor expansion of -1 in n 15.732 * [backup-simplify]: Simplify -1 into -1 15.732 * [taylor]: Taking taylor expansion of n in n 15.732 * [backup-simplify]: Simplify 0 into 0 15.732 * [backup-simplify]: Simplify 1 into 1 15.733 * [backup-simplify]: Simplify (/ -1 1) into -1 15.733 * [backup-simplify]: Simplify (log -1) into (log -1) 15.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.733 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.734 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.735 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.735 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.735 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.735 * [taylor]: Taking taylor expansion of 0.25 in k 15.735 * [backup-simplify]: Simplify 0.25 into 0.25 15.735 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.735 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.735 * [taylor]: Taking taylor expansion of (log -1) in k 15.735 * [taylor]: Taking taylor expansion of -1 in k 15.736 * [backup-simplify]: Simplify -1 into -1 15.736 * [backup-simplify]: Simplify (log -1) into (log -1) 15.736 * [taylor]: Taking taylor expansion of (log n) in k 15.736 * [taylor]: Taking taylor expansion of n in k 15.736 * [backup-simplify]: Simplify n into n 15.736 * [backup-simplify]: Simplify (log n) into (log n) 15.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.736 * [taylor]: Taking taylor expansion of k in k 15.736 * [backup-simplify]: Simplify 0 into 0 15.736 * [backup-simplify]: Simplify 1 into 1 15.737 * [backup-simplify]: Simplify (/ 1 1) into 1 15.737 * [taylor]: Taking taylor expansion of 1.0 in k 15.737 * [backup-simplify]: Simplify 1.0 into 1.0 15.737 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.737 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.738 * [backup-simplify]: Simplify (+ 1 0) into 1 15.738 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.739 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 15.739 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.740 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.743 * [backup-simplify]: Simplify (+ 0 0) into 0 15.744 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.745 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.747 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.747 * [taylor]: Taking taylor expansion of 0 in k 15.747 * [backup-simplify]: Simplify 0 into 0 15.747 * [backup-simplify]: Simplify 0 into 0 15.747 * [backup-simplify]: Simplify 0 into 0 15.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.751 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.752 * [backup-simplify]: Simplify (+ 0 0) into 0 15.753 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.755 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.757 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.757 * [taylor]: Taking taylor expansion of 0 in k 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify 0 into 0 15.757 * [backup-simplify]: Simplify 0 into 0 15.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.764 * [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 15.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.765 * [backup-simplify]: Simplify (+ 0 0) into 0 15.766 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.768 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.769 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 15.769 * [taylor]: Taking taylor expansion of 0 in k 15.769 * [backup-simplify]: Simplify 0 into 0 15.769 * [backup-simplify]: Simplify 0 into 0 15.770 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.770 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 15.770 * [backup-simplify]: Simplify (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) into (pow (pow n (* 0.25 (- 1.0 k))) 2) 15.770 * [approximate]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in (n k) around 0 15.770 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in k 15.770 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 15.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 15.770 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 15.770 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 15.770 * [taylor]: Taking taylor expansion of 0.25 in k 15.770 * [backup-simplify]: Simplify 0.25 into 0.25 15.770 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.770 * [taylor]: Taking taylor expansion of 1.0 in k 15.770 * [backup-simplify]: Simplify 1.0 into 1.0 15.770 * [taylor]: Taking taylor expansion of k in k 15.770 * [backup-simplify]: Simplify 0 into 0 15.770 * [backup-simplify]: Simplify 1 into 1 15.770 * [taylor]: Taking taylor expansion of (log n) in k 15.770 * [taylor]: Taking taylor expansion of n in k 15.770 * [backup-simplify]: Simplify n into n 15.770 * [backup-simplify]: Simplify (log n) into (log n) 15.771 * [backup-simplify]: Simplify (- 0) into 0 15.771 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.771 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 15.771 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 15.771 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.771 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 15.771 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.771 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.771 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.771 * [taylor]: Taking taylor expansion of 0.25 in n 15.771 * [backup-simplify]: Simplify 0.25 into 0.25 15.771 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.771 * [taylor]: Taking taylor expansion of 1.0 in n 15.771 * [backup-simplify]: Simplify 1.0 into 1.0 15.771 * [taylor]: Taking taylor expansion of k in n 15.771 * [backup-simplify]: Simplify k into k 15.772 * [taylor]: Taking taylor expansion of (log n) in n 15.772 * [taylor]: Taking taylor expansion of n in n 15.772 * [backup-simplify]: Simplify 0 into 0 15.772 * [backup-simplify]: Simplify 1 into 1 15.772 * [backup-simplify]: Simplify (log 1) into 0 15.772 * [backup-simplify]: Simplify (- k) into (- k) 15.772 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.772 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.772 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.772 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.772 * [taylor]: Taking taylor expansion of (pow (pow n (* 0.25 (- 1.0 k))) 2) in n 15.772 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 15.772 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 15.772 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 15.773 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 15.773 * [taylor]: Taking taylor expansion of 0.25 in n 15.773 * [backup-simplify]: Simplify 0.25 into 0.25 15.773 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.773 * [taylor]: Taking taylor expansion of 1.0 in n 15.773 * [backup-simplify]: Simplify 1.0 into 1.0 15.773 * [taylor]: Taking taylor expansion of k in n 15.773 * [backup-simplify]: Simplify k into k 15.773 * [taylor]: Taking taylor expansion of (log n) in n 15.773 * [taylor]: Taking taylor expansion of n in n 15.773 * [backup-simplify]: Simplify 0 into 0 15.773 * [backup-simplify]: Simplify 1 into 1 15.773 * [backup-simplify]: Simplify (log 1) into 0 15.773 * [backup-simplify]: Simplify (- k) into (- k) 15.773 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.773 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 15.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.773 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 15.774 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 15.774 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (exp (* 0.25 (* (- 1.0 k) (log n))))) into (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) 15.774 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (log n)))) 2) in k 15.774 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 15.774 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 15.774 * [taylor]: Taking taylor expansion of 0.25 in k 15.774 * [backup-simplify]: Simplify 0.25 into 0.25 15.774 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.774 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.774 * [taylor]: Taking taylor expansion of 1.0 in k 15.774 * [backup-simplify]: Simplify 1.0 into 1.0 15.774 * [taylor]: Taking taylor expansion of k in k 15.774 * [backup-simplify]: Simplify 0 into 0 15.774 * [backup-simplify]: Simplify 1 into 1 15.774 * [taylor]: Taking taylor expansion of (log n) in k 15.774 * [taylor]: Taking taylor expansion of n in k 15.774 * [backup-simplify]: Simplify n into n 15.774 * [backup-simplify]: Simplify (log n) into (log n) 15.774 * [backup-simplify]: Simplify (- 0) into 0 15.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.775 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.775 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 15.775 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 15.775 * [backup-simplify]: Simplify (* (pow n 0.25) (pow n 0.25)) into (pow (pow n 1.0) 0.5) 15.775 * [backup-simplify]: Simplify (pow (pow n 1.0) 0.5) into (pow (pow n 1.0) 0.5) 15.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.776 * [backup-simplify]: Simplify (- 0) into 0 15.776 * [backup-simplify]: Simplify (+ 0 0) into 0 15.777 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 15.777 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.777 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.778 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.778 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n)))))) into 0 15.778 * [taylor]: Taking taylor expansion of 0 in k 15.778 * [backup-simplify]: Simplify 0 into 0 15.778 * [backup-simplify]: Simplify 0 into 0 15.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.779 * [backup-simplify]: Simplify (- 1) into -1 15.779 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.779 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.779 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 15.780 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 15.780 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (pow n 0.25))) into (- (* 0.5 (* (pow (pow n 1.0) 0.5) (log n)))) 15.780 * [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)))) 15.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.782 * [backup-simplify]: Simplify (- 0) into 0 15.782 * [backup-simplify]: Simplify (+ 0 0) into 0 15.783 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.784 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.784 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.785 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- 1.0 k) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- 1.0 k) (log n))))))) into 0 15.785 * [taylor]: Taking taylor expansion of 0 in k 15.785 * [backup-simplify]: Simplify 0 into 0 15.785 * [backup-simplify]: Simplify 0 into 0 15.785 * [backup-simplify]: Simplify 0 into 0 15.786 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.786 * [backup-simplify]: Simplify (- 0) into 0 15.787 * [backup-simplify]: Simplify (+ 0 0) into 0 15.787 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.787 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.788 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 15.789 * [backup-simplify]: Simplify (+ (* (pow n 0.25) (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2)))) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* -0.25 (* (pow (pow n 1.0) 0.25) (log n)))) (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow n 0.25)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 15.789 * [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))) 15.790 * [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 (pow n 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 15.790 * [backup-simplify]: Simplify (* (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2))) into (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) 15.790 * [approximate]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 15.790 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 15.790 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 15.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.790 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.790 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 15.790 * [taylor]: Taking taylor expansion of 0.25 in k 15.790 * [backup-simplify]: Simplify 0.25 into 0.25 15.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.791 * [taylor]: Taking taylor expansion of 1.0 in k 15.791 * [backup-simplify]: Simplify 1.0 into 1.0 15.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.791 * [taylor]: Taking taylor expansion of k in k 15.791 * [backup-simplify]: Simplify 0 into 0 15.791 * [backup-simplify]: Simplify 1 into 1 15.791 * [backup-simplify]: Simplify (/ 1 1) into 1 15.791 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.791 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.791 * [taylor]: Taking taylor expansion of n in k 15.791 * [backup-simplify]: Simplify n into n 15.791 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.791 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.791 * [backup-simplify]: Simplify (- 1) into -1 15.792 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.792 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 15.792 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 15.792 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.792 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 15.792 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.792 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.792 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.792 * [taylor]: Taking taylor expansion of 0.25 in n 15.792 * [backup-simplify]: Simplify 0.25 into 0.25 15.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.792 * [taylor]: Taking taylor expansion of 1.0 in n 15.792 * [backup-simplify]: Simplify 1.0 into 1.0 15.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.792 * [taylor]: Taking taylor expansion of k in n 15.792 * [backup-simplify]: Simplify k into k 15.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.792 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.792 * [taylor]: Taking taylor expansion of n in n 15.792 * [backup-simplify]: Simplify 0 into 0 15.792 * [backup-simplify]: Simplify 1 into 1 15.793 * [backup-simplify]: Simplify (/ 1 1) into 1 15.793 * [backup-simplify]: Simplify (log 1) into 0 15.793 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.793 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.793 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.794 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.794 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.794 * [taylor]: Taking taylor expansion of (pow (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 15.794 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 15.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.794 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.794 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 15.794 * [taylor]: Taking taylor expansion of 0.25 in n 15.794 * [backup-simplify]: Simplify 0.25 into 0.25 15.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.794 * [taylor]: Taking taylor expansion of 1.0 in n 15.794 * [backup-simplify]: Simplify 1.0 into 1.0 15.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.794 * [taylor]: Taking taylor expansion of k in n 15.794 * [backup-simplify]: Simplify k into k 15.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.794 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.794 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.794 * [taylor]: Taking taylor expansion of n in n 15.794 * [backup-simplify]: Simplify 0 into 0 15.794 * [backup-simplify]: Simplify 1 into 1 15.794 * [backup-simplify]: Simplify (/ 1 1) into 1 15.794 * [backup-simplify]: Simplify (log 1) into 0 15.795 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.795 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.795 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 15.795 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.795 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) 15.796 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.796 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 15.796 * [taylor]: Taking taylor expansion of (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) in k 15.796 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 15.796 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 15.796 * [taylor]: Taking taylor expansion of -0.25 in k 15.796 * [backup-simplify]: Simplify -0.25 into -0.25 15.796 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.796 * [taylor]: Taking taylor expansion of (log n) in k 15.796 * [taylor]: Taking taylor expansion of n in k 15.796 * [backup-simplify]: Simplify n into n 15.796 * [backup-simplify]: Simplify (log n) into (log n) 15.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.797 * [taylor]: Taking taylor expansion of 1.0 in k 15.797 * [backup-simplify]: Simplify 1.0 into 1.0 15.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.797 * [taylor]: Taking taylor expansion of k in k 15.797 * [backup-simplify]: Simplify 0 into 0 15.797 * [backup-simplify]: Simplify 1 into 1 15.797 * [backup-simplify]: Simplify (/ 1 1) into 1 15.798 * [backup-simplify]: Simplify (- 1) into -1 15.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.799 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.799 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 15.799 * [backup-simplify]: Simplify (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 15.799 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 15.800 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) into (pow (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 2) 15.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.802 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.803 * [backup-simplify]: Simplify (- 0) into 0 15.803 * [backup-simplify]: Simplify (+ 0 0) into 0 15.803 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.804 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.805 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.806 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 15.806 * [taylor]: Taking taylor expansion of 0 in k 15.806 * [backup-simplify]: Simplify 0 into 0 15.806 * [backup-simplify]: Simplify 0 into 0 15.806 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))) into 0 15.806 * [backup-simplify]: Simplify 0 into 0 15.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.818 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.819 * [backup-simplify]: Simplify (- 0) into 0 15.819 * [backup-simplify]: Simplify (+ 0 0) into 0 15.820 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.821 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.823 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.824 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 15.824 * [taylor]: Taking taylor expansion of 0 in k 15.824 * [backup-simplify]: Simplify 0 into 0 15.824 * [backup-simplify]: Simplify 0 into 0 15.824 * [backup-simplify]: Simplify 0 into 0 15.825 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 15.825 * [backup-simplify]: Simplify 0 into 0 15.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.831 * [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 15.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.832 * [backup-simplify]: Simplify (- 0) into 0 15.832 * [backup-simplify]: Simplify (+ 0 0) into 0 15.833 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.834 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.835 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.837 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.838 * [backup-simplify]: Simplify (+ (* (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))))))) into 0 15.838 * [taylor]: Taking taylor expansion of 0 in k 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify (pow (exp (* -0.25 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) 2) into (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) 15.839 * [backup-simplify]: Simplify (* (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2))) into (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) 15.839 * [approximate]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 15.839 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 15.839 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 15.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.839 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.839 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 15.839 * [taylor]: Taking taylor expansion of 0.25 in k 15.839 * [backup-simplify]: Simplify 0.25 into 0.25 15.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.839 * [taylor]: Taking taylor expansion of k in k 15.839 * [backup-simplify]: Simplify 0 into 0 15.839 * [backup-simplify]: Simplify 1 into 1 15.839 * [backup-simplify]: Simplify (/ 1 1) into 1 15.839 * [taylor]: Taking taylor expansion of 1.0 in k 15.839 * [backup-simplify]: Simplify 1.0 into 1.0 15.839 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.840 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.840 * [taylor]: Taking taylor expansion of -1 in k 15.840 * [backup-simplify]: Simplify -1 into -1 15.840 * [taylor]: Taking taylor expansion of n in k 15.840 * [backup-simplify]: Simplify n into n 15.840 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.840 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.840 * [backup-simplify]: Simplify (+ 1 0) into 1 15.840 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 15.840 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 15.840 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.840 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 15.840 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.841 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.841 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.841 * [taylor]: Taking taylor expansion of 0.25 in n 15.841 * [backup-simplify]: Simplify 0.25 into 0.25 15.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.841 * [taylor]: Taking taylor expansion of k in n 15.841 * [backup-simplify]: Simplify k into k 15.841 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.841 * [taylor]: Taking taylor expansion of 1.0 in n 15.841 * [backup-simplify]: Simplify 1.0 into 1.0 15.841 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.841 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.841 * [taylor]: Taking taylor expansion of -1 in n 15.841 * [backup-simplify]: Simplify -1 into -1 15.841 * [taylor]: Taking taylor expansion of n in n 15.841 * [backup-simplify]: Simplify 0 into 0 15.841 * [backup-simplify]: Simplify 1 into 1 15.841 * [backup-simplify]: Simplify (/ -1 1) into -1 15.841 * [backup-simplify]: Simplify (log -1) into (log -1) 15.841 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.841 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.842 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.843 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.843 * [taylor]: Taking taylor expansion of (pow (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 15.843 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 15.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.843 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.843 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 15.843 * [taylor]: Taking taylor expansion of 0.25 in n 15.843 * [backup-simplify]: Simplify 0.25 into 0.25 15.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.843 * [taylor]: Taking taylor expansion of k in n 15.843 * [backup-simplify]: Simplify k into k 15.843 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.843 * [taylor]: Taking taylor expansion of 1.0 in n 15.843 * [backup-simplify]: Simplify 1.0 into 1.0 15.843 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.843 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.843 * [taylor]: Taking taylor expansion of -1 in n 15.843 * [backup-simplify]: Simplify -1 into -1 15.843 * [taylor]: Taking taylor expansion of n in n 15.843 * [backup-simplify]: Simplify 0 into 0 15.843 * [backup-simplify]: Simplify 1 into 1 15.843 * [backup-simplify]: Simplify (/ -1 1) into -1 15.844 * [backup-simplify]: Simplify (log -1) into (log -1) 15.844 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.844 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 15.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.845 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.845 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.846 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 15.846 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) in k 15.846 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.846 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.846 * [taylor]: Taking taylor expansion of 0.25 in k 15.846 * [backup-simplify]: Simplify 0.25 into 0.25 15.846 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.846 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.846 * [taylor]: Taking taylor expansion of (log -1) in k 15.846 * [taylor]: Taking taylor expansion of -1 in k 15.846 * [backup-simplify]: Simplify -1 into -1 15.846 * [backup-simplify]: Simplify (log -1) into (log -1) 15.846 * [taylor]: Taking taylor expansion of (log n) in k 15.846 * [taylor]: Taking taylor expansion of n in k 15.846 * [backup-simplify]: Simplify n into n 15.846 * [backup-simplify]: Simplify (log n) into (log n) 15.846 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.846 * [taylor]: Taking taylor expansion of k in k 15.847 * [backup-simplify]: Simplify 0 into 0 15.847 * [backup-simplify]: Simplify 1 into 1 15.847 * [backup-simplify]: Simplify (/ 1 1) into 1 15.847 * [taylor]: Taking taylor expansion of 1.0 in k 15.847 * [backup-simplify]: Simplify 1.0 into 1.0 15.847 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.847 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.848 * [backup-simplify]: Simplify (+ 1 0) into 1 15.848 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.848 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 15.849 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.849 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 15.850 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) into (pow (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2) 15.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.852 * [backup-simplify]: Simplify (+ 0 0) into 0 15.852 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.853 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.854 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.855 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 15.855 * [taylor]: Taking taylor expansion of 0 in k 15.855 * [backup-simplify]: Simplify 0 into 0 15.855 * [backup-simplify]: Simplify 0 into 0 15.855 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 15.855 * [backup-simplify]: Simplify 0 into 0 15.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.858 * [backup-simplify]: Simplify (+ 0 0) into 0 15.859 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.860 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.861 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.862 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 15.862 * [taylor]: Taking taylor expansion of 0 in k 15.862 * [backup-simplify]: Simplify 0 into 0 15.862 * [backup-simplify]: Simplify 0 into 0 15.862 * [backup-simplify]: Simplify 0 into 0 15.863 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 15.864 * [backup-simplify]: Simplify 0 into 0 15.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.867 * [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 15.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.868 * [backup-simplify]: Simplify (+ 0 0) into 0 15.868 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.870 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.871 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 15.873 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 15.873 * [taylor]: Taking taylor expansion of 0 in k 15.873 * [backup-simplify]: Simplify 0 into 0 15.873 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify (pow (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) into (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 15.874 * * * [progress]: simplifying candidates 15.880 * [simplify]: Simplifying: (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 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2))) (* 2 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) 1) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (- (+ (* 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)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2) 15.885 * * [simplify]: Extracting # 0 : cost 0 15.886 * * [simplify]: Extracting # 1 : cost 0 15.886 * * [simplify]: Extracting # 2 : cost 0 15.886 * * [simplify]: Extracting # 3 : cost 0 15.887 * * [simplify]: Extracting # 4 : cost 0 15.887 * * [simplify]: Extracting # 5 : cost 0 15.888 * * [simplify]: Extracting # 6 : cost 0 15.888 * * [simplify]: Extracting # 7 : cost 0 15.889 * * [simplify]: Extracting # 8 : cost 0 15.889 * * [simplify]: Extracting # 9 : cost 0 15.889 * * [simplify]: iteration 0 : 302 enodes (cost 4106 ) 16.068 * * [simplify]: Extracting # 0 : cost 0 16.071 * * [simplify]: Extracting # 1 : cost 0 16.073 * * [simplify]: Extracting # 2 : cost 0 16.075 * * [simplify]: Extracting # 3 : cost 0 16.078 * * [simplify]: Extracting # 4 : cost 0 16.080 * * [simplify]: iteration 1 : 783 enodes (cost 3317 ) 16.705 * * [simplify]: Extracting # 0 : cost 0 16.709 * * [simplify]: Extracting # 1 : cost 0 16.712 * * [simplify]: Extracting # 2 : cost 0 16.715 * * [simplify]: Extracting # 3 : cost 0 16.718 * * [simplify]: Extracting # 4 : cost 0 16.722 * * [simplify]: iteration 2 : 2320 enodes (cost 3213 ) 17.797 * * [simplify]: Extracting # 0 : cost 0 17.808 * * [simplify]: Extracting # 1 : cost 0 17.819 * * [simplify]: Extracting # 2 : cost 0 17.826 * * [simplify]: Extracting # 3 : cost 0 17.833 * * [simplify]: Extracting # 4 : cost 0 17.845 * * [simplify]: iteration done: 5001 enodes (cost 3116 ) 17.848 * [simplify]: Simplified to: (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 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(/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 4))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow n (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) 2.0)) (pow (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ 3 1)) (pow (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow n (/ (- 1.0 k) 2.0)) (pow (pow n (/ (/ (- 1.0 k) 2.0) 4)) 3) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.5 (* k (log PI)))))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (pow (/ 1 n) (- 1.0 k)) -0.25) (pow (exp (* 0.25 (- 1.0 k))) (+ 0 (log n))) (+ (pow n 0.25) (* (pow (pow n 1.0) 0.25) (- (* 0.03125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* k (log n)))))) (pow (pow (/ 1 n) (- 1.0 k)) -0.25) (pow (exp (* 0.25 (- 1.0 k))) (+ 0 (log n))) (* (pow (pow n 1.0) 0.5) (- (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) 1) (* 0.5 (* k (log n))))) (pow (pow (pow (/ 1 n) (- 1.0 k)) -0.25) 2) (pow (pow (exp (* 0.25 (- 1.0 k))) (+ 0 (log n))) 2) 17.854 * * * [progress]: adding candidates to table 19.820 * [progress]: [Phase 3 of 3] Extracting. 19.820 * * [regime]: Finding splitpoints for: (# # # # # # # #) 19.829 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 19.829 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 19.887 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 19.918 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 19.974 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 20.052 * * * [regime]: Found split indices: #