52.792 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.154 * [progress]: [Phase 2 of 3] Improving. 0.154 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.155 * * [simplify]: iteration 0: 13 enodes 0.160 * * [simplify]: iteration 1: 29 enodes 0.169 * * [simplify]: iteration 2: 59 enodes 0.187 * * [simplify]: iteration 3: 120 enodes 0.251 * * [simplify]: iteration 4: 328 enodes 0.459 * * [simplify]: iteration 5: 1541 enodes 1.053 * * [simplify]: iteration complete: 5000 enodes 1.053 * * [simplify]: Extracting #0: cost 1 inf + 0 1.053 * * [simplify]: Extracting #1: cost 169 inf + 0 1.056 * * [simplify]: Extracting #2: cost 1666 inf + 1 1.064 * * [simplify]: Extracting #3: cost 2154 inf + 127 1.086 * * [simplify]: Extracting #4: cost 2277 inf + 3690 1.114 * * [simplify]: Extracting #5: cost 1696 inf + 217499 1.271 * * [simplify]: Extracting #6: cost 193 inf + 1045012 1.487 * * [simplify]: Extracting #7: cost 0 inf + 1202666 1.687 * * [simplify]: Extracting #8: cost 0 inf + 1202415 1.941 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 1.942 * * [progress]: iteration 1 / 4 1.942 * * * [progress]: picking best candidate 1.950 * * * * [pick]: Picked # 1.950 * * * [progress]: localizing error 1.975 * * * [progress]: generating rewritten candidates 1.975 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.000 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.032 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.041 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.109 * * * [progress]: generating series expansions 2.110 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.111 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.111 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.111 * [taylor]: Taking taylor expansion of 0.5 in k 2.111 * [backup-simplify]: Simplify 0.5 into 0.5 2.111 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.111 * [taylor]: Taking taylor expansion of 1.0 in k 2.111 * [backup-simplify]: Simplify 1.0 into 1.0 2.111 * [taylor]: Taking taylor expansion of k in k 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.111 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.111 * [taylor]: Taking taylor expansion of 2.0 in k 2.111 * [backup-simplify]: Simplify 2.0 into 2.0 2.111 * [taylor]: Taking taylor expansion of (* n PI) in k 2.111 * [taylor]: Taking taylor expansion of n in k 2.111 * [backup-simplify]: Simplify n into n 2.111 * [taylor]: Taking taylor expansion of PI in k 2.111 * [backup-simplify]: Simplify PI into PI 2.111 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.112 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.112 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.113 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.113 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.113 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.113 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.113 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.113 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.113 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.114 * [taylor]: Taking taylor expansion of 0.5 in n 2.114 * [backup-simplify]: Simplify 0.5 into 0.5 2.114 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.114 * [taylor]: Taking taylor expansion of 1.0 in n 2.114 * [backup-simplify]: Simplify 1.0 into 1.0 2.114 * [taylor]: Taking taylor expansion of k in n 2.114 * [backup-simplify]: Simplify k into k 2.114 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.114 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.114 * [taylor]: Taking taylor expansion of 2.0 in n 2.114 * [backup-simplify]: Simplify 2.0 into 2.0 2.114 * [taylor]: Taking taylor expansion of (* n PI) in n 2.114 * [taylor]: Taking taylor expansion of n in n 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of PI in n 2.114 * [backup-simplify]: Simplify PI into PI 2.114 * [backup-simplify]: Simplify (* 0 PI) into 0 2.115 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.118 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.119 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.119 * [backup-simplify]: Simplify (- k) into (- k) 2.119 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.119 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.121 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.122 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.123 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.123 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.123 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.123 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.124 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.124 * [taylor]: Taking taylor expansion of 0.5 in n 2.124 * [backup-simplify]: Simplify 0.5 into 0.5 2.124 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.124 * [taylor]: Taking taylor expansion of 1.0 in n 2.124 * [backup-simplify]: Simplify 1.0 into 1.0 2.124 * [taylor]: Taking taylor expansion of k in n 2.124 * [backup-simplify]: Simplify k into k 2.124 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.124 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.124 * [taylor]: Taking taylor expansion of 2.0 in n 2.124 * [backup-simplify]: Simplify 2.0 into 2.0 2.124 * [taylor]: Taking taylor expansion of (* n PI) in n 2.124 * [taylor]: Taking taylor expansion of n in n 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [taylor]: Taking taylor expansion of PI in n 2.124 * [backup-simplify]: Simplify PI into PI 2.124 * [backup-simplify]: Simplify (* 0 PI) into 0 2.125 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.128 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.129 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.129 * [backup-simplify]: Simplify (- k) into (- k) 2.129 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.129 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.131 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.132 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.133 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.133 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.133 * [taylor]: Taking taylor expansion of 0.5 in k 2.133 * [backup-simplify]: Simplify 0.5 into 0.5 2.133 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.133 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.133 * [taylor]: Taking taylor expansion of 1.0 in k 2.134 * [backup-simplify]: Simplify 1.0 into 1.0 2.134 * [taylor]: Taking taylor expansion of k in k 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.134 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.134 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.134 * [taylor]: Taking taylor expansion of 2.0 in k 2.134 * [backup-simplify]: Simplify 2.0 into 2.0 2.134 * [taylor]: Taking taylor expansion of PI in k 2.134 * [backup-simplify]: Simplify PI into PI 2.134 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.135 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.135 * [taylor]: Taking taylor expansion of (log n) in k 2.135 * [taylor]: Taking taylor expansion of n in k 2.135 * [backup-simplify]: Simplify n into n 2.135 * [backup-simplify]: Simplify (log n) into (log n) 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.136 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.137 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.139 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.143 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.144 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.145 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.146 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.148 * [backup-simplify]: Simplify (- 0) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.149 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.150 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.151 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.151 * [taylor]: Taking taylor expansion of 0 in k 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.153 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (- 1) into -1 2.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.155 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.156 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2.158 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.160 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.164 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.164 * [backup-simplify]: Simplify (- 0) into 0 2.164 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.167 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.168 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.168 * [taylor]: Taking taylor expansion of 0 in k 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify (+ 0 0) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.178 * [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 n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.181 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.188 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 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 (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 2.189 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 2.189 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.189 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.189 * [taylor]: Taking taylor expansion of 0.5 in k 2.189 * [backup-simplify]: Simplify 0.5 into 0.5 2.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.189 * [taylor]: Taking taylor expansion of 1.0 in k 2.189 * [backup-simplify]: Simplify 1.0 into 1.0 2.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.189 * [taylor]: Taking taylor expansion of k in k 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (/ 1 1) into 1 2.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.189 * [taylor]: Taking taylor expansion of 2.0 in k 2.189 * [backup-simplify]: Simplify 2.0 into 2.0 2.189 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.189 * [taylor]: Taking taylor expansion of PI in k 2.190 * [backup-simplify]: Simplify PI into PI 2.190 * [taylor]: Taking taylor expansion of n in k 2.190 * [backup-simplify]: Simplify n into n 2.190 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.190 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.190 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.190 * [backup-simplify]: Simplify (- 1) into -1 2.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.191 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.191 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.192 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.192 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.192 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.192 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.192 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.192 * [taylor]: Taking taylor expansion of 0.5 in n 2.192 * [backup-simplify]: Simplify 0.5 into 0.5 2.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.192 * [taylor]: Taking taylor expansion of 1.0 in n 2.192 * [backup-simplify]: Simplify 1.0 into 1.0 2.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.192 * [taylor]: Taking taylor expansion of k in n 2.192 * [backup-simplify]: Simplify k into k 2.192 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.192 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.192 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.192 * [taylor]: Taking taylor expansion of 2.0 in n 2.193 * [backup-simplify]: Simplify 2.0 into 2.0 2.193 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.193 * [taylor]: Taking taylor expansion of PI in n 2.193 * [backup-simplify]: Simplify PI into PI 2.193 * [taylor]: Taking taylor expansion of n in n 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ PI 1) into PI 2.194 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.195 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.195 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.195 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.195 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.198 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.199 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.199 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.199 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.199 * [taylor]: Taking taylor expansion of 0.5 in n 2.200 * [backup-simplify]: Simplify 0.5 into 0.5 2.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.200 * [taylor]: Taking taylor expansion of 1.0 in n 2.200 * [backup-simplify]: Simplify 1.0 into 1.0 2.200 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.200 * [taylor]: Taking taylor expansion of k in n 2.200 * [backup-simplify]: Simplify k into k 2.200 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.200 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.200 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.200 * [taylor]: Taking taylor expansion of 2.0 in n 2.200 * [backup-simplify]: Simplify 2.0 into 2.0 2.200 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.200 * [taylor]: Taking taylor expansion of PI in n 2.200 * [backup-simplify]: Simplify PI into PI 2.200 * [taylor]: Taking taylor expansion of n in n 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify 1 into 1 2.200 * [backup-simplify]: Simplify (/ PI 1) into PI 2.201 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.202 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.202 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.202 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.203 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.204 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.206 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.207 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.207 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 2.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 2.207 * [taylor]: Taking taylor expansion of 0.5 in k 2.207 * [backup-simplify]: Simplify 0.5 into 0.5 2.207 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 2.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.207 * [taylor]: Taking taylor expansion of 1.0 in k 2.207 * [backup-simplify]: Simplify 1.0 into 1.0 2.208 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.208 * [taylor]: Taking taylor expansion of k in k 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.208 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.208 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.208 * [taylor]: Taking taylor expansion of 2.0 in k 2.208 * [backup-simplify]: Simplify 2.0 into 2.0 2.208 * [taylor]: Taking taylor expansion of PI in k 2.208 * [backup-simplify]: Simplify PI into PI 2.209 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.210 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.210 * [taylor]: Taking taylor expansion of (log n) in k 2.210 * [taylor]: Taking taylor expansion of n in k 2.210 * [backup-simplify]: Simplify n into n 2.210 * [backup-simplify]: Simplify (log n) into (log n) 2.210 * [backup-simplify]: Simplify (- 1) into -1 2.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.211 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.212 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.213 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.214 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.216 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.217 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.222 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.225 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.227 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.227 * [taylor]: Taking taylor expansion of 0 in k 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.233 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.234 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.238 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.241 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.241 * [taylor]: Taking taylor expansion of 0 in k 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.243 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.249 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.250 * [backup-simplify]: Simplify (- 0) into 0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.255 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.258 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.258 * [taylor]: Taking taylor expansion of 0 in k 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 2.263 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 2.263 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.263 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.263 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.263 * [taylor]: Taking taylor expansion of 0.5 in k 2.263 * [backup-simplify]: Simplify 0.5 into 0.5 2.264 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.264 * [taylor]: Taking taylor expansion of k in k 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (/ 1 1) into 1 2.264 * [taylor]: Taking taylor expansion of 1.0 in k 2.264 * [backup-simplify]: Simplify 1.0 into 1.0 2.264 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.264 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.264 * [taylor]: Taking taylor expansion of -2.0 in k 2.264 * [backup-simplify]: Simplify -2.0 into -2.0 2.264 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.264 * [taylor]: Taking taylor expansion of PI in k 2.264 * [backup-simplify]: Simplify PI into PI 2.264 * [taylor]: Taking taylor expansion of n in k 2.264 * [backup-simplify]: Simplify n into n 2.264 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.264 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.265 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.265 * [backup-simplify]: Simplify (+ 1 0) into 1 2.265 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.266 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.266 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.266 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.266 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.266 * [taylor]: Taking taylor expansion of 0.5 in n 2.266 * [backup-simplify]: Simplify 0.5 into 0.5 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.266 * [taylor]: Taking taylor expansion of k in n 2.266 * [backup-simplify]: Simplify k into k 2.266 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.266 * [taylor]: Taking taylor expansion of 1.0 in n 2.266 * [backup-simplify]: Simplify 1.0 into 1.0 2.266 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.266 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.266 * [taylor]: Taking taylor expansion of -2.0 in n 2.266 * [backup-simplify]: Simplify -2.0 into -2.0 2.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.266 * [taylor]: Taking taylor expansion of PI in n 2.267 * [backup-simplify]: Simplify PI into PI 2.267 * [taylor]: Taking taylor expansion of n in n 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (/ PI 1) into PI 2.267 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.268 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.268 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.268 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.269 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.270 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.270 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.271 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.271 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.271 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.271 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.271 * [taylor]: Taking taylor expansion of 0.5 in n 2.271 * [backup-simplify]: Simplify 0.5 into 0.5 2.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.271 * [taylor]: Taking taylor expansion of k in n 2.271 * [backup-simplify]: Simplify k into k 2.271 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.271 * [taylor]: Taking taylor expansion of 1.0 in n 2.271 * [backup-simplify]: Simplify 1.0 into 1.0 2.271 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.271 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.271 * [taylor]: Taking taylor expansion of -2.0 in n 2.271 * [backup-simplify]: Simplify -2.0 into -2.0 2.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.271 * [taylor]: Taking taylor expansion of PI in n 2.271 * [backup-simplify]: Simplify PI into PI 2.271 * [taylor]: Taking taylor expansion of n in n 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (/ PI 1) into PI 2.271 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.272 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.272 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.272 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.273 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.274 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.275 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 2.275 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 2.275 * [taylor]: Taking taylor expansion of 0.5 in k 2.275 * [backup-simplify]: Simplify 0.5 into 0.5 2.275 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 2.275 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.275 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.275 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.275 * [taylor]: Taking taylor expansion of -2.0 in k 2.275 * [backup-simplify]: Simplify -2.0 into -2.0 2.275 * [taylor]: Taking taylor expansion of PI in k 2.275 * [backup-simplify]: Simplify PI into PI 2.275 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.276 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.276 * [taylor]: Taking taylor expansion of (log n) in k 2.276 * [taylor]: Taking taylor expansion of n in k 2.276 * [backup-simplify]: Simplify n into n 2.276 * [backup-simplify]: Simplify (log n) into (log n) 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.276 * [taylor]: Taking taylor expansion of k in k 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of 1.0 in k 2.276 * [backup-simplify]: Simplify 1.0 into 1.0 2.276 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.277 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.277 * [backup-simplify]: Simplify (+ 1 0) into 1 2.278 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 2.279 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.279 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.280 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.284 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.285 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.286 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.286 * [taylor]: Taking taylor expansion of 0 in k 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.292 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.294 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.294 * [taylor]: Taking taylor expansion of 0 in k 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.301 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.307 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.310 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.310 * [taylor]: Taking taylor expansion of 0 in k 2.310 * [backup-simplify]: Simplify 0 into 0 2.310 * [backup-simplify]: Simplify 0 into 0 2.311 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.312 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.312 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.312 * [taylor]: Taking taylor expansion of 2.0 in n 2.312 * [backup-simplify]: Simplify 2.0 into 2.0 2.312 * [taylor]: Taking taylor expansion of (* n PI) in n 2.312 * [taylor]: Taking taylor expansion of n in n 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [taylor]: Taking taylor expansion of PI in n 2.312 * [backup-simplify]: Simplify PI into PI 2.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.312 * [taylor]: Taking taylor expansion of 2.0 in n 2.312 * [backup-simplify]: Simplify 2.0 into 2.0 2.312 * [taylor]: Taking taylor expansion of (* n PI) in n 2.312 * [taylor]: Taking taylor expansion of n in n 2.312 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [taylor]: Taking taylor expansion of PI in n 2.313 * [backup-simplify]: Simplify PI into PI 2.313 * [backup-simplify]: Simplify (* 0 PI) into 0 2.314 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.314 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.317 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.318 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.320 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.325 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.328 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.332 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.332 * [backup-simplify]: Simplify 0 into 0 2.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.336 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.336 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.337 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.337 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.337 * [taylor]: Taking taylor expansion of 2.0 in n 2.338 * [backup-simplify]: Simplify 2.0 into 2.0 2.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.338 * [taylor]: Taking taylor expansion of PI in n 2.338 * [backup-simplify]: Simplify PI into PI 2.338 * [taylor]: Taking taylor expansion of n in n 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.338 * [backup-simplify]: Simplify (/ PI 1) into PI 2.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.338 * [taylor]: Taking taylor expansion of 2.0 in n 2.338 * [backup-simplify]: Simplify 2.0 into 2.0 2.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.338 * [taylor]: Taking taylor expansion of PI in n 2.338 * [backup-simplify]: Simplify PI into PI 2.338 * [taylor]: Taking taylor expansion of n in n 2.338 * [backup-simplify]: Simplify 0 into 0 2.338 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (/ PI 1) into PI 2.340 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.340 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.346 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.352 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.356 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.356 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of -2.0 in n 2.357 * [backup-simplify]: Simplify -2.0 into -2.0 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [backup-simplify]: Simplify PI into PI 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (/ PI 1) into PI 2.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of -2.0 in n 2.357 * [backup-simplify]: Simplify -2.0 into -2.0 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [backup-simplify]: Simplify PI into PI 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (/ PI 1) into PI 2.359 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.359 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.368 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.371 * [backup-simplify]: Simplify 0 into 0 2.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.374 * [backup-simplify]: Simplify 0 into 0 2.374 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.374 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.374 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.374 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.374 * [taylor]: Taking taylor expansion of 1.0 in k 2.374 * [backup-simplify]: Simplify 1.0 into 1.0 2.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.375 * [taylor]: Taking taylor expansion of k in k 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.375 * [backup-simplify]: Simplify (/ 1 1) into 1 2.375 * [backup-simplify]: Simplify (sqrt 0) into 0 2.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.377 * [taylor]: Taking taylor expansion of 1.0 in k 2.377 * [backup-simplify]: Simplify 1.0 into 1.0 2.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.377 * [taylor]: Taking taylor expansion of k in k 2.377 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify 1 into 1 2.378 * [backup-simplify]: Simplify (/ 1 1) into 1 2.378 * [backup-simplify]: Simplify (sqrt 0) into 0 2.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.380 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.382 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.386 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.387 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.388 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.394 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.394 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.395 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 2.395 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.395 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.395 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.395 * [taylor]: Taking taylor expansion of 1.0 in k 2.395 * [backup-simplify]: Simplify 1.0 into 1.0 2.395 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.395 * [taylor]: Taking taylor expansion of k in k 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 1 into 1 2.395 * [backup-simplify]: Simplify (sqrt 0) into 0 2.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.396 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.396 * [taylor]: Taking taylor expansion of 1.0 in k 2.396 * [backup-simplify]: Simplify 1.0 into 1.0 2.396 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.396 * [taylor]: Taking taylor expansion of k in k 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (sqrt 0) into 0 2.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.398 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.399 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.402 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.402 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.404 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.406 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.407 * [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)))))))) 2.407 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.407 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.407 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.407 * [taylor]: Taking taylor expansion of 1.0 in k 2.407 * [backup-simplify]: Simplify 1.0 into 1.0 2.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.407 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.407 * [taylor]: Taking taylor expansion of -1 in k 2.407 * [backup-simplify]: Simplify -1 into -1 2.407 * [taylor]: Taking taylor expansion of k in k 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (/ -1 1) into -1 2.408 * [backup-simplify]: Simplify (sqrt 0) into 0 2.409 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.409 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.409 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.409 * [taylor]: Taking taylor expansion of 1.0 in k 2.409 * [backup-simplify]: Simplify 1.0 into 1.0 2.409 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.409 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.409 * [taylor]: Taking taylor expansion of -1 in k 2.409 * [backup-simplify]: Simplify -1 into -1 2.409 * [taylor]: Taking taylor expansion of k in k 2.409 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify 1 into 1 2.409 * [backup-simplify]: Simplify (/ -1 1) into -1 2.409 * [backup-simplify]: Simplify (sqrt 0) into 0 2.410 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.411 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.414 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.415 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.420 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.421 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.421 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.421 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.422 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 2.422 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [backup-simplify]: Simplify 1.0 into 1.0 2.422 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.422 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.422 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.422 * [taylor]: Taking taylor expansion of 0.5 in n 2.422 * [backup-simplify]: Simplify 0.5 into 0.5 2.422 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [backup-simplify]: Simplify 1.0 into 1.0 2.422 * [taylor]: Taking taylor expansion of k in n 2.422 * [backup-simplify]: Simplify k into k 2.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.422 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.422 * [taylor]: Taking taylor expansion of 2.0 in n 2.422 * [backup-simplify]: Simplify 2.0 into 2.0 2.422 * [taylor]: Taking taylor expansion of (* n PI) in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [backup-simplify]: Simplify PI into PI 2.423 * [backup-simplify]: Simplify (* 0 PI) into 0 2.423 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.424 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.425 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.426 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.426 * [backup-simplify]: Simplify (- k) into (- k) 2.426 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.426 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.427 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.427 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.428 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.428 * [taylor]: Taking taylor expansion of k in n 2.428 * [backup-simplify]: Simplify k into k 2.428 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.428 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.428 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 2.428 * [taylor]: Taking taylor expansion of 1.0 in k 2.428 * [backup-simplify]: Simplify 1.0 into 1.0 2.428 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.428 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.428 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.429 * [taylor]: Taking taylor expansion of 0.5 in k 2.429 * [backup-simplify]: Simplify 0.5 into 0.5 2.429 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.429 * [taylor]: Taking taylor expansion of 1.0 in k 2.429 * [backup-simplify]: Simplify 1.0 into 1.0 2.429 * [taylor]: Taking taylor expansion of k in k 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.429 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.429 * [taylor]: Taking taylor expansion of 2.0 in k 2.429 * [backup-simplify]: Simplify 2.0 into 2.0 2.429 * [taylor]: Taking taylor expansion of (* n PI) in k 2.429 * [taylor]: Taking taylor expansion of n in k 2.429 * [backup-simplify]: Simplify n into n 2.429 * [taylor]: Taking taylor expansion of PI in k 2.429 * [backup-simplify]: Simplify PI into PI 2.429 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.429 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.429 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.429 * [backup-simplify]: Simplify (- 0) into 0 2.429 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.430 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.430 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.430 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.430 * [taylor]: Taking taylor expansion of k in k 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (/ 1 1) into 1 2.430 * [backup-simplify]: Simplify (sqrt 0) into 0 2.431 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 2.431 * [taylor]: Taking taylor expansion of 1.0 in k 2.431 * [backup-simplify]: Simplify 1.0 into 1.0 2.431 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.431 * [taylor]: Taking taylor expansion of 0.5 in k 2.431 * [backup-simplify]: Simplify 0.5 into 0.5 2.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.431 * [taylor]: Taking taylor expansion of 1.0 in k 2.431 * [backup-simplify]: Simplify 1.0 into 1.0 2.431 * [taylor]: Taking taylor expansion of k in k 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.432 * [taylor]: Taking taylor expansion of 2.0 in k 2.432 * [backup-simplify]: Simplify 2.0 into 2.0 2.432 * [taylor]: Taking taylor expansion of (* n PI) in k 2.432 * [taylor]: Taking taylor expansion of n in k 2.432 * [backup-simplify]: Simplify n into n 2.432 * [taylor]: Taking taylor expansion of PI in k 2.432 * [backup-simplify]: Simplify PI into PI 2.432 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.432 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.432 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.432 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.433 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.433 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.433 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.433 * [taylor]: Taking taylor expansion of k in k 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [backup-simplify]: Simplify (/ 1 1) into 1 2.433 * [backup-simplify]: Simplify (sqrt 0) into 0 2.434 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.434 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 2.435 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.435 * [taylor]: Taking taylor expansion of 0 in n 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.435 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.436 * [backup-simplify]: Simplify (- 1) into -1 2.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.437 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.438 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 2.439 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.440 * [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))) 2.440 * [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 2.440 * [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 2.440 * [taylor]: Taking taylor expansion of +nan.0 in n 2.440 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.440 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.440 * [taylor]: Taking taylor expansion of 0.5 in n 2.440 * [backup-simplify]: Simplify 0.5 into 0.5 2.440 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.440 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.440 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.440 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.440 * [taylor]: Taking taylor expansion of 1.0 in n 2.440 * [backup-simplify]: Simplify 1.0 into 1.0 2.440 * [taylor]: Taking taylor expansion of (log PI) in n 2.440 * [taylor]: Taking taylor expansion of PI in n 2.441 * [backup-simplify]: Simplify PI into PI 2.441 * [backup-simplify]: Simplify (log PI) into (log PI) 2.441 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.442 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.442 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.442 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [backup-simplify]: Simplify 1.0 into 1.0 2.442 * [taylor]: Taking taylor expansion of (log n) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (log 1) into 0 2.443 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.443 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.443 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.443 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.443 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.443 * [taylor]: Taking taylor expansion of 1.0 in n 2.443 * [backup-simplify]: Simplify 1.0 into 1.0 2.443 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [backup-simplify]: Simplify 2.0 into 2.0 2.444 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.444 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.445 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.445 * [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) 2.446 * [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) 2.447 * [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)) 2.448 * [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))) 2.450 * [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) 2.451 * [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)) 2.452 * [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))) 2.454 * [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))) 2.454 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.458 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.461 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.465 * [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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 2.469 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 2.474 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 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) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 2.475 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.475 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.475 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.475 * [taylor]: Taking taylor expansion of +nan.0 in n 2.475 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.475 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.475 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.475 * [taylor]: Taking taylor expansion of 0.5 in n 2.475 * [backup-simplify]: Simplify 0.5 into 0.5 2.475 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.475 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.475 * [taylor]: Taking taylor expansion of 1.0 in n 2.475 * [backup-simplify]: Simplify 1.0 into 1.0 2.475 * [taylor]: Taking taylor expansion of (log PI) in n 2.475 * [taylor]: Taking taylor expansion of PI in n 2.475 * [backup-simplify]: Simplify PI into PI 2.476 * [backup-simplify]: Simplify (log PI) into (log PI) 2.477 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.478 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.478 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.479 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.479 * [taylor]: Taking taylor expansion of 1.0 in n 2.479 * [backup-simplify]: Simplify 1.0 into 1.0 2.479 * [taylor]: Taking taylor expansion of (log n) in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (log 1) into 0 2.479 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.480 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.480 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.480 * [taylor]: Taking taylor expansion of 1.0 in n 2.480 * [backup-simplify]: Simplify 1.0 into 1.0 2.480 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.480 * [taylor]: Taking taylor expansion of 2.0 in n 2.480 * [backup-simplify]: Simplify 2.0 into 2.0 2.480 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.481 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.483 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.483 * [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) 2.485 * [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) 2.486 * [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)) 2.487 * [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))) 2.489 * [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) 2.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.489 * [taylor]: Taking taylor expansion of 2.0 in n 2.489 * [backup-simplify]: Simplify 2.0 into 2.0 2.489 * [taylor]: Taking taylor expansion of (* n PI) in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of PI in n 2.489 * [backup-simplify]: Simplify PI into PI 2.489 * [backup-simplify]: Simplify (* 0 PI) into 0 2.490 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.493 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.494 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.494 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.494 * [taylor]: Taking taylor expansion of +nan.0 in n 2.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.494 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.494 * [taylor]: Taking taylor expansion of 0.5 in n 2.494 * [backup-simplify]: Simplify 0.5 into 0.5 2.494 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.494 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.494 * [taylor]: Taking taylor expansion of 1.0 in n 2.494 * [backup-simplify]: Simplify 1.0 into 1.0 2.494 * [taylor]: Taking taylor expansion of (log PI) in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.494 * [backup-simplify]: Simplify PI into PI 2.495 * [backup-simplify]: Simplify (log PI) into (log PI) 2.496 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.498 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.498 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.498 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.498 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.498 * [taylor]: Taking taylor expansion of 1.0 in n 2.498 * [backup-simplify]: Simplify 1.0 into 1.0 2.498 * [taylor]: Taking taylor expansion of (log n) in n 2.498 * [taylor]: Taking taylor expansion of n in n 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [backup-simplify]: Simplify (log 1) into 0 2.499 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.499 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.499 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.499 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [backup-simplify]: Simplify 1.0 into 1.0 2.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.499 * [taylor]: Taking taylor expansion of 2.0 in n 2.499 * [backup-simplify]: Simplify 2.0 into 2.0 2.499 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.500 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.502 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.502 * [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) 2.507 * [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) 2.508 * [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)) 2.509 * [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))) 2.511 * [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) 2.512 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.515 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 2.517 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 2.519 * [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)) 2.520 * [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))) 2.525 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +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) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 2.531 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 2.538 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 2.539 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.540 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.542 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.543 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.544 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.544 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.545 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.548 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.550 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.551 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.553 * [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 2.555 * [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 2.557 * [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 2.559 * [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 2.560 * [backup-simplify]: Simplify (- 0) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.565 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.567 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.569 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.570 * [backup-simplify]: Simplify (- 0) into 0 2.570 * [backup-simplify]: Simplify (+ 0 0) into 0 2.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.575 * [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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 2.580 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.592 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 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) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.592 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.592 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.592 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.592 * [taylor]: Taking taylor expansion of +nan.0 in n 2.592 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.592 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.592 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.592 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.592 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.592 * [taylor]: Taking taylor expansion of 0.5 in n 2.592 * [backup-simplify]: Simplify 0.5 into 0.5 2.592 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.592 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.592 * [taylor]: Taking taylor expansion of 1.0 in n 2.592 * [backup-simplify]: Simplify 1.0 into 1.0 2.592 * [taylor]: Taking taylor expansion of (log PI) in n 2.592 * [taylor]: Taking taylor expansion of PI in n 2.592 * [backup-simplify]: Simplify PI into PI 2.593 * [backup-simplify]: Simplify (log PI) into (log PI) 2.594 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.596 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.596 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.596 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.596 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.596 * [taylor]: Taking taylor expansion of 1.0 in n 2.596 * [backup-simplify]: Simplify 1.0 into 1.0 2.596 * [taylor]: Taking taylor expansion of (log n) in n 2.596 * [taylor]: Taking taylor expansion of n in n 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (log 1) into 0 2.597 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.597 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.597 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.597 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.597 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.597 * [taylor]: Taking taylor expansion of 1.0 in n 2.597 * [backup-simplify]: Simplify 1.0 into 1.0 2.597 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.597 * [taylor]: Taking taylor expansion of 2.0 in n 2.597 * [backup-simplify]: Simplify 2.0 into 2.0 2.598 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.598 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.600 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.600 * [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) 2.602 * [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) 2.603 * [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)) 2.604 * [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))) 2.606 * [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) 2.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.606 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.606 * [taylor]: Taking taylor expansion of 2.0 in n 2.606 * [backup-simplify]: Simplify 2.0 into 2.0 2.606 * [taylor]: Taking taylor expansion of (* n PI) in n 2.606 * [taylor]: Taking taylor expansion of n in n 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.606 * [taylor]: Taking taylor expansion of PI in n 2.606 * [backup-simplify]: Simplify PI into PI 2.606 * [backup-simplify]: Simplify (* 0 PI) into 0 2.607 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.610 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.611 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.611 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.611 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.611 * [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 2.611 * [taylor]: Taking taylor expansion of +nan.0 in n 2.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.611 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.611 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.611 * [taylor]: Taking taylor expansion of 0.5 in n 2.611 * [backup-simplify]: Simplify 0.5 into 0.5 2.611 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.611 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.612 * [taylor]: Taking taylor expansion of 1.0 in n 2.612 * [backup-simplify]: Simplify 1.0 into 1.0 2.612 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.612 * [taylor]: Taking taylor expansion of 2.0 in n 2.612 * [backup-simplify]: Simplify 2.0 into 2.0 2.612 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.613 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.615 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.615 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.615 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.615 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.615 * [taylor]: Taking taylor expansion of 1.0 in n 2.615 * [backup-simplify]: Simplify 1.0 into 1.0 2.615 * [taylor]: Taking taylor expansion of (log n) in n 2.615 * [taylor]: Taking taylor expansion of n in n 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (log 1) into 0 2.616 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.616 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.616 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.616 * [taylor]: Taking taylor expansion of 1.0 in n 2.616 * [backup-simplify]: Simplify 1.0 into 1.0 2.616 * [taylor]: Taking taylor expansion of (log PI) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.616 * [backup-simplify]: Simplify PI into PI 2.617 * [backup-simplify]: Simplify (log PI) into (log PI) 2.618 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.619 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.620 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.621 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.622 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.623 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.624 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.624 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.624 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.624 * [taylor]: Taking taylor expansion of +nan.0 in n 2.624 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.624 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.624 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.624 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.624 * [taylor]: Taking taylor expansion of 0.5 in n 2.624 * [backup-simplify]: Simplify 0.5 into 0.5 2.624 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.624 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.624 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.624 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.624 * [taylor]: Taking taylor expansion of 1.0 in n 2.624 * [backup-simplify]: Simplify 1.0 into 1.0 2.625 * [taylor]: Taking taylor expansion of (log PI) in n 2.625 * [taylor]: Taking taylor expansion of PI in n 2.625 * [backup-simplify]: Simplify PI into PI 2.625 * [backup-simplify]: Simplify (log PI) into (log PI) 2.625 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.626 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.626 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.626 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.626 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.626 * [taylor]: Taking taylor expansion of 1.0 in n 2.626 * [backup-simplify]: Simplify 1.0 into 1.0 2.627 * [taylor]: Taking taylor expansion of (log n) in n 2.627 * [taylor]: Taking taylor expansion of n in n 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [backup-simplify]: Simplify (log 1) into 0 2.627 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.627 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.627 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.627 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [backup-simplify]: Simplify 1.0 into 1.0 2.627 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.627 * [taylor]: Taking taylor expansion of 2.0 in n 2.627 * [backup-simplify]: Simplify 2.0 into 2.0 2.628 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.628 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.629 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.629 * [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) 2.630 * [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) 2.631 * [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)) 2.632 * [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))) 2.633 * [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) 2.633 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.633 * [taylor]: Taking taylor expansion of 2.0 in n 2.633 * [backup-simplify]: Simplify 2.0 into 2.0 2.633 * [taylor]: Taking taylor expansion of (* n PI) in n 2.633 * [taylor]: Taking taylor expansion of n in n 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [taylor]: Taking taylor expansion of PI in n 2.633 * [backup-simplify]: Simplify PI into PI 2.633 * [backup-simplify]: Simplify (* 0 PI) into 0 2.633 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.634 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.635 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.636 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.639 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 2.641 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 2.644 * [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)) 2.645 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.648 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.649 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 2.651 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 2.653 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 2.659 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 2.668 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2)))))))))) 2.680 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 2.696 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 2.712 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 2.739 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 2.740 * [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 (- 1.0 (/ 1 k)))) (sqrt k))) 2.740 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 2.740 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 2.740 * [taylor]: Taking taylor expansion of 1.0 in n 2.740 * [backup-simplify]: Simplify 1.0 into 1.0 2.740 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 2.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.740 * [taylor]: Taking taylor expansion of 0.5 in n 2.740 * [backup-simplify]: Simplify 0.5 into 0.5 2.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.740 * [taylor]: Taking taylor expansion of 1.0 in n 2.740 * [backup-simplify]: Simplify 1.0 into 1.0 2.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.740 * [taylor]: Taking taylor expansion of k in n 2.740 * [backup-simplify]: Simplify k into k 2.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.740 * [taylor]: Taking taylor expansion of 2.0 in n 2.740 * [backup-simplify]: Simplify 2.0 into 2.0 2.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [backup-simplify]: Simplify PI into PI 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ PI 1) into PI 2.742 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.743 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.743 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.743 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.743 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.745 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.746 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.747 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.747 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.747 * [taylor]: Taking taylor expansion of k in n 2.747 * [backup-simplify]: Simplify k into k 2.748 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.748 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 2.748 * [taylor]: Taking taylor expansion of 1.0 in k 2.748 * [backup-simplify]: Simplify 1.0 into 1.0 2.748 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 2.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.748 * [taylor]: Taking taylor expansion of 0.5 in k 2.748 * [backup-simplify]: Simplify 0.5 into 0.5 2.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.748 * [taylor]: Taking taylor expansion of 1.0 in k 2.748 * [backup-simplify]: Simplify 1.0 into 1.0 2.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.748 * [taylor]: Taking taylor expansion of k in k 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (/ 1 1) into 1 2.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.749 * [taylor]: Taking taylor expansion of 2.0 in k 2.749 * [backup-simplify]: Simplify 2.0 into 2.0 2.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.749 * [taylor]: Taking taylor expansion of PI in k 2.749 * [backup-simplify]: Simplify PI into PI 2.749 * [taylor]: Taking taylor expansion of n in k 2.749 * [backup-simplify]: Simplify n into n 2.749 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.749 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.749 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.749 * [backup-simplify]: Simplify (- 1) into -1 2.750 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.750 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.750 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.751 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.751 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.751 * [taylor]: Taking taylor expansion of k in k 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (sqrt 0) into 0 2.753 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 2.753 * [taylor]: Taking taylor expansion of 1.0 in k 2.753 * [backup-simplify]: Simplify 1.0 into 1.0 2.753 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 2.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.753 * [taylor]: Taking taylor expansion of 0.5 in k 2.753 * [backup-simplify]: Simplify 0.5 into 0.5 2.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.753 * [taylor]: Taking taylor expansion of 1.0 in k 2.753 * [backup-simplify]: Simplify 1.0 into 1.0 2.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.753 * [taylor]: Taking taylor expansion of k in k 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (/ 1 1) into 1 2.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.754 * [taylor]: Taking taylor expansion of 2.0 in k 2.754 * [backup-simplify]: Simplify 2.0 into 2.0 2.754 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.754 * [taylor]: Taking taylor expansion of PI in k 2.754 * [backup-simplify]: Simplify PI into PI 2.754 * [taylor]: Taking taylor expansion of n in k 2.754 * [backup-simplify]: Simplify n into n 2.754 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.754 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.754 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.754 * [backup-simplify]: Simplify (- 1) into -1 2.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.755 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.755 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.756 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.756 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.756 * [taylor]: Taking taylor expansion of k in k 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (sqrt 0) into 0 2.757 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.758 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 2.758 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.758 * [taylor]: Taking taylor expansion of 0 in n 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.759 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.760 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.760 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.760 * [taylor]: Taking taylor expansion of +nan.0 in n 2.760 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.760 * [taylor]: Taking taylor expansion of 0.5 in n 2.760 * [backup-simplify]: Simplify 0.5 into 0.5 2.760 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.760 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.760 * [taylor]: Taking taylor expansion of 1.0 in n 2.760 * [backup-simplify]: Simplify 1.0 into 1.0 2.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.760 * [taylor]: Taking taylor expansion of k in n 2.760 * [backup-simplify]: Simplify k into k 2.760 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.760 * [taylor]: Taking taylor expansion of 2.0 in n 2.760 * [backup-simplify]: Simplify 2.0 into 2.0 2.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.760 * [taylor]: Taking taylor expansion of PI in n 2.760 * [backup-simplify]: Simplify PI into PI 2.760 * [taylor]: Taking taylor expansion of n in n 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ PI 1) into PI 2.761 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.762 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.762 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.762 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.765 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.766 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.767 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.769 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.770 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.771 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.771 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.775 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.778 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.778 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.778 * [taylor]: Taking taylor expansion of +nan.0 in n 2.778 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.778 * [taylor]: Taking taylor expansion of 0.5 in n 2.778 * [backup-simplify]: Simplify 0.5 into 0.5 2.778 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.778 * [taylor]: Taking taylor expansion of 1.0 in n 2.778 * [backup-simplify]: Simplify 1.0 into 1.0 2.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.778 * [taylor]: Taking taylor expansion of k in n 2.778 * [backup-simplify]: Simplify k into k 2.778 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.778 * [taylor]: Taking taylor expansion of 2.0 in n 2.778 * [backup-simplify]: Simplify 2.0 into 2.0 2.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.778 * [taylor]: Taking taylor expansion of PI in n 2.778 * [backup-simplify]: Simplify PI into PI 2.778 * [taylor]: Taking taylor expansion of n in n 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (/ PI 1) into PI 2.779 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.780 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.780 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.781 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.782 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.783 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.784 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.784 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.785 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.789 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 2.792 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.793 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 2.793 * [backup-simplify]: Simplify (- 0) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.796 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.797 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.797 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.797 * [taylor]: Taking taylor expansion of +nan.0 in n 2.797 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.797 * [taylor]: Taking taylor expansion of 0.5 in n 2.797 * [backup-simplify]: Simplify 0.5 into 0.5 2.797 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.797 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.797 * [taylor]: Taking taylor expansion of 1.0 in n 2.797 * [backup-simplify]: Simplify 1.0 into 1.0 2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.797 * [taylor]: Taking taylor expansion of k in n 2.797 * [backup-simplify]: Simplify k into k 2.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.797 * [taylor]: Taking taylor expansion of 2.0 in n 2.797 * [backup-simplify]: Simplify 2.0 into 2.0 2.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.797 * [taylor]: Taking taylor expansion of PI in n 2.797 * [backup-simplify]: Simplify PI into PI 2.797 * [taylor]: Taking taylor expansion of n in n 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (/ PI 1) into PI 2.798 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.799 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.799 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.799 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.801 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.801 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.802 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.803 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.804 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.805 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.810 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (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 3)))))))) 2.811 * [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)))) 2.811 * [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 2.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.811 * [taylor]: Taking taylor expansion of 1.0 in n 2.812 * [backup-simplify]: Simplify 1.0 into 1.0 2.812 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.812 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.812 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.812 * [taylor]: Taking taylor expansion of 0.5 in n 2.812 * [backup-simplify]: Simplify 0.5 into 0.5 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.812 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.812 * [taylor]: Taking taylor expansion of k in n 2.812 * [backup-simplify]: Simplify k into k 2.812 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.812 * [taylor]: Taking taylor expansion of 1.0 in n 2.812 * [backup-simplify]: Simplify 1.0 into 1.0 2.812 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.812 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.812 * [taylor]: Taking taylor expansion of -2.0 in n 2.812 * [backup-simplify]: Simplify -2.0 into -2.0 2.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.812 * [taylor]: Taking taylor expansion of PI in n 2.812 * [backup-simplify]: Simplify PI into PI 2.812 * [taylor]: Taking taylor expansion of n in n 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (/ PI 1) into PI 2.813 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.814 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.814 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.815 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.817 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.819 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.819 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.819 * [taylor]: Taking taylor expansion of -1 in n 2.819 * [backup-simplify]: Simplify -1 into -1 2.819 * [taylor]: Taking taylor expansion of k in n 2.819 * [backup-simplify]: Simplify k into k 2.819 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.819 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.819 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.821 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 2.821 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.821 * [taylor]: Taking taylor expansion of 1.0 in k 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.821 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.821 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.821 * [taylor]: Taking taylor expansion of 0.5 in k 2.821 * [backup-simplify]: Simplify 0.5 into 0.5 2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.821 * [taylor]: Taking taylor expansion of k in k 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [taylor]: Taking taylor expansion of 1.0 in k 2.822 * [backup-simplify]: Simplify 1.0 into 1.0 2.822 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.822 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.822 * [taylor]: Taking taylor expansion of -2.0 in k 2.822 * [backup-simplify]: Simplify -2.0 into -2.0 2.822 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.822 * [taylor]: Taking taylor expansion of PI in k 2.822 * [backup-simplify]: Simplify PI into PI 2.822 * [taylor]: Taking taylor expansion of n in k 2.822 * [backup-simplify]: Simplify n into n 2.822 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.822 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.822 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.822 * [backup-simplify]: Simplify (+ 1 0) into 1 2.823 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.823 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.823 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.823 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.823 * [taylor]: Taking taylor expansion of -1 in k 2.823 * [backup-simplify]: Simplify -1 into -1 2.824 * [taylor]: Taking taylor expansion of k in k 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (/ -1 1) into -1 2.824 * [backup-simplify]: Simplify (sqrt 0) into 0 2.826 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.827 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.827 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.827 * [taylor]: Taking taylor expansion of 1.0 in k 2.827 * [backup-simplify]: Simplify 1.0 into 1.0 2.827 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.827 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.827 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.827 * [taylor]: Taking taylor expansion of 0.5 in k 2.827 * [backup-simplify]: Simplify 0.5 into 0.5 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.827 * [taylor]: Taking taylor expansion of k in k 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [taylor]: Taking taylor expansion of 1.0 in k 2.828 * [backup-simplify]: Simplify 1.0 into 1.0 2.828 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.828 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.828 * [taylor]: Taking taylor expansion of -2.0 in k 2.828 * [backup-simplify]: Simplify -2.0 into -2.0 2.828 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.828 * [taylor]: Taking taylor expansion of PI in k 2.828 * [backup-simplify]: Simplify PI into PI 2.828 * [taylor]: Taking taylor expansion of n in k 2.828 * [backup-simplify]: Simplify n into n 2.828 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.828 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.828 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.829 * [backup-simplify]: Simplify (+ 1 0) into 1 2.829 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.829 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.829 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.829 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.829 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.829 * [taylor]: Taking taylor expansion of -1 in k 2.830 * [backup-simplify]: Simplify -1 into -1 2.830 * [taylor]: Taking taylor expansion of k in k 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (/ -1 1) into -1 2.830 * [backup-simplify]: Simplify (sqrt 0) into 0 2.831 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.832 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.832 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.832 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.832 * [taylor]: Taking taylor expansion of +nan.0 in n 2.832 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.832 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.832 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.832 * [taylor]: Taking taylor expansion of 0.5 in n 2.832 * [backup-simplify]: Simplify 0.5 into 0.5 2.832 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.832 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.832 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.832 * [taylor]: Taking taylor expansion of -2.0 in n 2.832 * [backup-simplify]: Simplify -2.0 into -2.0 2.832 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.832 * [taylor]: Taking taylor expansion of PI in n 2.832 * [backup-simplify]: Simplify PI into PI 2.832 * [taylor]: Taking taylor expansion of n in n 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (/ PI 1) into PI 2.833 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.833 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.834 * [taylor]: Taking taylor expansion of k in n 2.834 * [backup-simplify]: Simplify k into k 2.834 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.834 * [taylor]: Taking taylor expansion of 1.0 in n 2.834 * [backup-simplify]: Simplify 1.0 into 1.0 2.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.835 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.835 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.836 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.837 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.838 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.838 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.841 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.842 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.842 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.842 * [taylor]: Taking taylor expansion of +nan.0 in n 2.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.842 * [taylor]: Taking taylor expansion of 0.5 in n 2.842 * [backup-simplify]: Simplify 0.5 into 0.5 2.842 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.842 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.842 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.842 * [taylor]: Taking taylor expansion of -2.0 in n 2.842 * [backup-simplify]: Simplify -2.0 into -2.0 2.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.842 * [taylor]: Taking taylor expansion of PI in n 2.842 * [backup-simplify]: Simplify PI into PI 2.842 * [taylor]: Taking taylor expansion of n in n 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ PI 1) into PI 2.843 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.843 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.843 * [taylor]: Taking taylor expansion of k in n 2.843 * [backup-simplify]: Simplify k into k 2.843 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.843 * [taylor]: Taking taylor expansion of 1.0 in n 2.843 * [backup-simplify]: Simplify 1.0 into 1.0 2.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.844 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.845 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.846 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.847 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.848 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.848 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.849 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.853 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.854 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 2.856 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.865 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.866 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.866 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.866 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.866 * [taylor]: Taking taylor expansion of +nan.0 in n 2.866 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.866 * [taylor]: Taking taylor expansion of 0.5 in n 2.866 * [backup-simplify]: Simplify 0.5 into 0.5 2.866 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.867 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.867 * [taylor]: Taking taylor expansion of -2.0 in n 2.867 * [backup-simplify]: Simplify -2.0 into -2.0 2.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.867 * [taylor]: Taking taylor expansion of PI in n 2.867 * [backup-simplify]: Simplify PI into PI 2.867 * [taylor]: Taking taylor expansion of n in n 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (/ PI 1) into PI 2.868 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.869 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.869 * [taylor]: Taking taylor expansion of k in n 2.869 * [backup-simplify]: Simplify k into k 2.869 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.869 * [taylor]: Taking taylor expansion of 1.0 in n 2.869 * [backup-simplify]: Simplify 1.0 into 1.0 2.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.871 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.872 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.873 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.875 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.876 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.877 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.879 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.884 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (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)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 2.884 * * * [progress]: simplifying candidates 2.889 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 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 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2))))))))))))))))))))))) (- (+ (* +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)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (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)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 2.895 * * [simplify]: iteration 0: 353 enodes 3.019 * * [simplify]: iteration 1: 986 enodes 3.594 * * [simplify]: iteration 2: 4735 enodes 4.772 * * [simplify]: iteration complete: 5000 enodes 4.772 * * [simplify]: Extracting #0: cost 120 inf + 0 4.773 * * [simplify]: Extracting #1: cost 760 inf + 2 4.777 * * [simplify]: Extracting #2: cost 1290 inf + 3940 4.787 * * [simplify]: Extracting #3: cost 1247 inf + 44035 4.819 * * [simplify]: Extracting #4: cost 737 inf + 198225 4.930 * * [simplify]: Extracting #5: cost 335 inf + 399390 5.054 * * [simplify]: Extracting #6: cost 355 inf + 439575 5.139 * * [simplify]: Extracting #7: cost 262 inf + 519829 5.305 * * [simplify]: Extracting #8: cost 66 inf + 702183 5.448 * * [simplify]: Extracting #9: cost 18 inf + 758060 5.597 * * [simplify]: Extracting #10: cost 0 inf + 790886 5.824 * * [simplify]: Extracting #11: cost 0 inf + 790606 6.023 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* PI n) 2.0) (/ 1.0 2.0)) (pow (* (* PI n) 2.0) (/ k 2.0)) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) 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k) 2.0) (log (* (* PI n) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0)))) (exp (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (* 1.0 1.0) (sqrt k)) (/ 1.0 k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (* (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))))) (* (cbrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (sqrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* 1.0 (pow (* (* PI n) 2.0) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* PI n) 2.0) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)))) (* (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (/ (* (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (cbrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (cbrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (/ (sqrt k) (pow (* (* PI n) 2.0) (/ 1.0 2.0)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) 1.0) (+ (+ (+ (exp (* (log (* (* PI n) 2.0)) 0.5)) (* 0.125 (* (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI)))) (exp (* (log (* (* PI n) 2.0)) 0.5))))) (- (* (* 0.125 (exp (* (log (* (* PI n) 2.0)) 0.5))) (* (* k (log n)) (* k (log n)))) (* (+ (* (exp (* (log (* (* PI n) 2.0)) 0.5)) (* k (log n))) (* (exp (* (log (* (* PI n) 2.0)) 0.5)) (* k (log (* 2.0 PI))))) 0.5))) (* (* (* 0.25 (log (* 2.0 PI))) (exp (* (log (* (* PI n) 2.0)) 0.5))) (* (log n) (* k k)))) (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (- (- (* (* k k) +nan.0) (- +nan.0 (* k +nan.0)))) (- (/ (- +nan.0) (* k k)) (+ (/ (- +nan.0) k) (/ +nan.0 (* k (* k k))))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (+ (* (* +nan.0 (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (- k)) (+ (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* (* k k) +nan.0)) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* +nan.0 (* (log n) (* k k))))) (- (* +nan.0 (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (+ (- (* (* +nan.0 (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI))))) (* +nan.0 (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* (log n) (* (* k k) (log (* 2.0 PI))))))) (+ (- (* +nan.0 (* (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (log (* 2.0 PI))) k)) (* (* k (log n)) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0))) (* +nan.0 (- (* (* (* k k) (log (* 2.0 PI))) (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (* (* (* k (log n)) (* k (log n))) (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))))))))) (+ (* +nan.0 (- (/ (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5))) k) (/ (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5))) (* k (* k k))))) (- (/ (* +nan.0 (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5)))) (* k k)))) (+ (- (* (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) +nan.0)) (* +nan.0 (- (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) k) (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* k k))))) 6.044 * * * [progress]: adding candidates to table 7.002 * * [progress]: iteration 2 / 4 7.002 * * * [progress]: picking best candidate 7.055 * * * * [pick]: Picked # 7.056 * * * [progress]: localizing error 7.106 * * * [progress]: generating rewritten candidates 7.106 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.117 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 7.131 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.135 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.176 * * * [progress]: generating series expansions 7.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.176 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 7.177 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 7.177 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.177 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.177 * [taylor]: Taking taylor expansion of 0.5 in k 7.177 * [backup-simplify]: Simplify 0.5 into 0.5 7.177 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.177 * [taylor]: Taking taylor expansion of 1.0 in k 7.177 * [backup-simplify]: Simplify 1.0 into 1.0 7.177 * [taylor]: Taking taylor expansion of k in k 7.177 * [backup-simplify]: Simplify 0 into 0 7.177 * [backup-simplify]: Simplify 1 into 1 7.177 * [taylor]: Taking taylor expansion of (log n) in k 7.177 * [taylor]: Taking taylor expansion of n in k 7.177 * [backup-simplify]: Simplify n into n 7.177 * [backup-simplify]: Simplify (log n) into (log n) 7.178 * [backup-simplify]: Simplify (- 0) into 0 7.178 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.179 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.179 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.179 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.179 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.179 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.179 * [taylor]: Taking taylor expansion of 0.5 in n 7.179 * [backup-simplify]: Simplify 0.5 into 0.5 7.179 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.179 * [taylor]: Taking taylor expansion of 1.0 in n 7.179 * [backup-simplify]: Simplify 1.0 into 1.0 7.179 * [taylor]: Taking taylor expansion of k in n 7.179 * [backup-simplify]: Simplify k into k 7.179 * [taylor]: Taking taylor expansion of (log n) in n 7.179 * [taylor]: Taking taylor expansion of n in n 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify 1 into 1 7.179 * [backup-simplify]: Simplify (log 1) into 0 7.180 * [backup-simplify]: Simplify (- k) into (- k) 7.180 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.180 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.180 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.180 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.180 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.181 * [taylor]: Taking taylor expansion of 0.5 in n 7.181 * [backup-simplify]: Simplify 0.5 into 0.5 7.181 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.181 * [taylor]: Taking taylor expansion of 1.0 in n 7.181 * [backup-simplify]: Simplify 1.0 into 1.0 7.181 * [taylor]: Taking taylor expansion of k in n 7.181 * [backup-simplify]: Simplify k into k 7.181 * [taylor]: Taking taylor expansion of (log n) in n 7.181 * [taylor]: Taking taylor expansion of n in n 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (log 1) into 0 7.181 * [backup-simplify]: Simplify (- k) into (- k) 7.181 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.181 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.182 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.182 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.182 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 7.182 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 7.182 * [taylor]: Taking taylor expansion of 0.5 in k 7.182 * [backup-simplify]: Simplify 0.5 into 0.5 7.182 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.182 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.182 * [taylor]: Taking taylor expansion of 1.0 in k 7.182 * [backup-simplify]: Simplify 1.0 into 1.0 7.182 * [taylor]: Taking taylor expansion of k in k 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.182 * [taylor]: Taking taylor expansion of (log n) in k 7.182 * [taylor]: Taking taylor expansion of n in k 7.182 * [backup-simplify]: Simplify n into n 7.183 * [backup-simplify]: Simplify (log n) into (log n) 7.183 * [backup-simplify]: Simplify (- 0) into 0 7.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.184 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.184 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 7.184 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.184 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 7.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.186 * [backup-simplify]: Simplify (- 0) into 0 7.186 * [backup-simplify]: Simplify (+ 0 0) into 0 7.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.187 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.187 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 7.188 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.188 * [taylor]: Taking taylor expansion of 0 in k 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.188 * [backup-simplify]: Simplify (- 1) into -1 7.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.189 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 7.189 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 7.189 * [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))) 7.189 * [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))) 7.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.192 * [backup-simplify]: Simplify (- 0) into 0 7.192 * [backup-simplify]: Simplify (+ 0 0) into 0 7.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.193 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.193 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 7.194 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.194 * [taylor]: Taking taylor expansion of 0 in k 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.195 * [backup-simplify]: Simplify (- 0) into 0 7.195 * [backup-simplify]: Simplify (+ 0 0) into 0 7.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 7.197 * [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))) 7.197 * [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))) 7.198 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 7.198 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 7.198 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.198 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 7.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 7.198 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.198 * [taylor]: Taking taylor expansion of 0.5 in k 7.198 * [backup-simplify]: Simplify 0.5 into 0.5 7.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.198 * [taylor]: Taking taylor expansion of 1.0 in k 7.198 * [backup-simplify]: Simplify 1.0 into 1.0 7.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.198 * [taylor]: Taking taylor expansion of k in k 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.199 * [backup-simplify]: Simplify (/ 1 1) into 1 7.199 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 7.199 * [taylor]: Taking taylor expansion of (/ 1 n) in k 7.199 * [taylor]: Taking taylor expansion of n in k 7.199 * [backup-simplify]: Simplify n into n 7.199 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.199 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 7.199 * [backup-simplify]: Simplify (- 1) into -1 7.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.200 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.200 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 7.200 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 7.200 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.200 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.200 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.200 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.200 * [taylor]: Taking taylor expansion of 0.5 in n 7.200 * [backup-simplify]: Simplify 0.5 into 0.5 7.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.200 * [taylor]: Taking taylor expansion of 1.0 in n 7.200 * [backup-simplify]: Simplify 1.0 into 1.0 7.200 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.200 * [taylor]: Taking taylor expansion of k in n 7.200 * [backup-simplify]: Simplify k into k 7.200 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.200 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.200 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.200 * [taylor]: Taking taylor expansion of n in n 7.200 * [backup-simplify]: Simplify 0 into 0 7.200 * [backup-simplify]: Simplify 1 into 1 7.200 * [backup-simplify]: Simplify (/ 1 1) into 1 7.200 * [backup-simplify]: Simplify (log 1) into 0 7.201 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.201 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.201 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.201 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.201 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 7.201 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 7.201 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.201 * [taylor]: Taking taylor expansion of 0.5 in n 7.201 * [backup-simplify]: Simplify 0.5 into 0.5 7.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.201 * [taylor]: Taking taylor expansion of 1.0 in n 7.201 * [backup-simplify]: Simplify 1.0 into 1.0 7.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.201 * [taylor]: Taking taylor expansion of k in n 7.201 * [backup-simplify]: Simplify k into k 7.201 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.201 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.201 * [taylor]: Taking taylor expansion of n in n 7.201 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (/ 1 1) into 1 7.202 * [backup-simplify]: Simplify (log 1) into 0 7.202 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.202 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.202 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.203 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 7.203 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 7.203 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 7.203 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 7.203 * [taylor]: Taking taylor expansion of -0.5 in k 7.203 * [backup-simplify]: Simplify -0.5 into -0.5 7.203 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 7.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.203 * [taylor]: Taking taylor expansion of 1.0 in k 7.203 * [backup-simplify]: Simplify 1.0 into 1.0 7.203 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.203 * [taylor]: Taking taylor expansion of k in k 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (/ 1 1) into 1 7.203 * [taylor]: Taking taylor expansion of (log n) in k 7.203 * [taylor]: Taking taylor expansion of n in k 7.203 * [backup-simplify]: Simplify n into n 7.203 * [backup-simplify]: Simplify (log n) into (log n) 7.203 * [backup-simplify]: Simplify (- 1) into -1 7.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.204 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 7.204 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 7.204 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 7.204 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 7.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.206 * [backup-simplify]: Simplify (- 0) into 0 7.206 * [backup-simplify]: Simplify (+ 0 0) into 0 7.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.207 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 7.207 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.207 * [taylor]: Taking taylor expansion of 0 in k 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.210 * [backup-simplify]: Simplify (- 0) into 0 7.210 * [backup-simplify]: Simplify (+ 0 0) into 0 7.211 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.211 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 7.212 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.212 * [taylor]: Taking taylor expansion of 0 in k 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.216 * [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 7.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.216 * [backup-simplify]: Simplify (- 0) into 0 7.216 * [backup-simplify]: Simplify (+ 0 0) into 0 7.217 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.217 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.218 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 7.219 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.219 * [taylor]: Taking taylor expansion of 0 in k 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify 0 into 0 7.219 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 7.219 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 7.219 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.219 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 7.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 7.219 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.219 * [taylor]: Taking taylor expansion of 0.5 in k 7.220 * [backup-simplify]: Simplify 0.5 into 0.5 7.220 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.220 * [taylor]: Taking taylor expansion of k in k 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify 1 into 1 7.220 * [backup-simplify]: Simplify (/ 1 1) into 1 7.220 * [taylor]: Taking taylor expansion of 1.0 in k 7.220 * [backup-simplify]: Simplify 1.0 into 1.0 7.220 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 7.220 * [taylor]: Taking taylor expansion of (/ -1 n) in k 7.220 * [taylor]: Taking taylor expansion of -1 in k 7.220 * [backup-simplify]: Simplify -1 into -1 7.220 * [taylor]: Taking taylor expansion of n in k 7.220 * [backup-simplify]: Simplify n into n 7.220 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.220 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 7.221 * [backup-simplify]: Simplify (+ 1 0) into 1 7.221 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.221 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 7.222 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 7.222 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.222 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.222 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.222 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.222 * [taylor]: Taking taylor expansion of 0.5 in n 7.222 * [backup-simplify]: Simplify 0.5 into 0.5 7.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.222 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.222 * [taylor]: Taking taylor expansion of k in n 7.222 * [backup-simplify]: Simplify k into k 7.222 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.222 * [taylor]: Taking taylor expansion of 1.0 in n 7.222 * [backup-simplify]: Simplify 1.0 into 1.0 7.222 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.222 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.222 * [taylor]: Taking taylor expansion of -1 in n 7.222 * [backup-simplify]: Simplify -1 into -1 7.222 * [taylor]: Taking taylor expansion of n in n 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ -1 1) into -1 7.223 * [backup-simplify]: Simplify (log -1) into (log -1) 7.223 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.223 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.225 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.225 * [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)))) 7.225 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.225 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.225 * [taylor]: Taking taylor expansion of 0.5 in n 7.225 * [backup-simplify]: Simplify 0.5 into 0.5 7.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.225 * [taylor]: Taking taylor expansion of k in n 7.225 * [backup-simplify]: Simplify k into k 7.226 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.226 * [taylor]: Taking taylor expansion of 1.0 in n 7.226 * [backup-simplify]: Simplify 1.0 into 1.0 7.226 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.226 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.226 * [taylor]: Taking taylor expansion of -1 in n 7.226 * [backup-simplify]: Simplify -1 into -1 7.226 * [taylor]: Taking taylor expansion of n in n 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.226 * [backup-simplify]: Simplify (/ -1 1) into -1 7.227 * [backup-simplify]: Simplify (log -1) into (log -1) 7.227 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.227 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.228 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.229 * [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)))) 7.229 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 7.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 7.229 * [taylor]: Taking taylor expansion of 0.5 in k 7.229 * [backup-simplify]: Simplify 0.5 into 0.5 7.229 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 7.229 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 7.229 * [taylor]: Taking taylor expansion of (log -1) in k 7.229 * [taylor]: Taking taylor expansion of -1 in k 7.229 * [backup-simplify]: Simplify -1 into -1 7.229 * [backup-simplify]: Simplify (log -1) into (log -1) 7.229 * [taylor]: Taking taylor expansion of (log n) in k 7.229 * [taylor]: Taking taylor expansion of n in k 7.230 * [backup-simplify]: Simplify n into n 7.230 * [backup-simplify]: Simplify (log n) into (log n) 7.230 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.230 * [taylor]: Taking taylor expansion of k in k 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (/ 1 1) into 1 7.230 * [taylor]: Taking taylor expansion of 1.0 in k 7.230 * [backup-simplify]: Simplify 1.0 into 1.0 7.230 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.231 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 7.231 * [backup-simplify]: Simplify (+ 1 0) into 1 7.232 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 7.232 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 7.233 * [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)))) 7.233 * [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)))) 7.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.238 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 7.239 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.239 * [taylor]: Taking taylor expansion of 0 in k 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 0 into 0 7.240 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.244 * [backup-simplify]: Simplify (+ 0 0) into 0 7.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.246 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.247 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 7.249 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.249 * [taylor]: Taking taylor expansion of 0 in k 7.249 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [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 7.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.260 * [backup-simplify]: Simplify (+ 0 0) into 0 7.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.262 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.263 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 7.266 * [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 7.266 * [taylor]: Taking taylor expansion of 0 in k 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 7.266 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.267 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 7.267 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 7.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.267 * [taylor]: Taking taylor expansion of 0.5 in k 7.268 * [backup-simplify]: Simplify 0.5 into 0.5 7.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.268 * [taylor]: Taking taylor expansion of 1.0 in k 7.268 * [backup-simplify]: Simplify 1.0 into 1.0 7.268 * [taylor]: Taking taylor expansion of k in k 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 1 into 1 7.268 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.268 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.268 * [taylor]: Taking taylor expansion of 2.0 in k 7.268 * [backup-simplify]: Simplify 2.0 into 2.0 7.268 * [taylor]: Taking taylor expansion of PI in k 7.268 * [backup-simplify]: Simplify PI into PI 7.268 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.269 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.270 * [backup-simplify]: Simplify (- 0) into 0 7.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.271 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.272 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.275 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.275 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.275 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.275 * [taylor]: Taking taylor expansion of 0.5 in k 7.275 * [backup-simplify]: Simplify 0.5 into 0.5 7.275 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.275 * [taylor]: Taking taylor expansion of 1.0 in k 7.275 * [backup-simplify]: Simplify 1.0 into 1.0 7.275 * [taylor]: Taking taylor expansion of k in k 7.275 * [backup-simplify]: Simplify 0 into 0 7.275 * [backup-simplify]: Simplify 1 into 1 7.275 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.275 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.275 * [taylor]: Taking taylor expansion of 2.0 in k 7.276 * [backup-simplify]: Simplify 2.0 into 2.0 7.276 * [taylor]: Taking taylor expansion of PI in k 7.276 * [backup-simplify]: Simplify PI into PI 7.276 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.277 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.277 * [backup-simplify]: Simplify (- 0) into 0 7.278 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.278 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.280 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.283 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.284 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 7.285 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.287 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.288 * [backup-simplify]: Simplify (- 1) into -1 7.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.290 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 7.314 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 7.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.319 * [backup-simplify]: Simplify (- 0) into 0 7.319 * [backup-simplify]: Simplify (+ 0 0) into 0 7.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.337 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 7.346 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 7.363 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 7.364 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 7.364 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 7.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.364 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.364 * [taylor]: Taking taylor expansion of 0.5 in k 7.364 * [backup-simplify]: Simplify 0.5 into 0.5 7.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.364 * [taylor]: Taking taylor expansion of 1.0 in k 7.364 * [backup-simplify]: Simplify 1.0 into 1.0 7.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.364 * [taylor]: Taking taylor expansion of k in k 7.364 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.365 * [backup-simplify]: Simplify (/ 1 1) into 1 7.365 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.365 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.365 * [taylor]: Taking taylor expansion of 2.0 in k 7.365 * [backup-simplify]: Simplify 2.0 into 2.0 7.365 * [taylor]: Taking taylor expansion of PI in k 7.365 * [backup-simplify]: Simplify PI into PI 7.366 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.367 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.367 * [backup-simplify]: Simplify (- 1) into -1 7.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.368 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.370 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.371 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 7.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.371 * [taylor]: Taking taylor expansion of 0.5 in k 7.371 * [backup-simplify]: Simplify 0.5 into 0.5 7.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.371 * [taylor]: Taking taylor expansion of 1.0 in k 7.371 * [backup-simplify]: Simplify 1.0 into 1.0 7.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.371 * [taylor]: Taking taylor expansion of k in k 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (/ 1 1) into 1 7.372 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.372 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.372 * [taylor]: Taking taylor expansion of 2.0 in k 7.372 * [backup-simplify]: Simplify 2.0 into 2.0 7.372 * [taylor]: Taking taylor expansion of PI in k 7.372 * [backup-simplify]: Simplify PI into PI 7.372 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.374 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.374 * [backup-simplify]: Simplify (- 1) into -1 7.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.375 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.377 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.378 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 7.379 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 7.381 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 7.381 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 7.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.381 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.381 * [taylor]: Taking taylor expansion of 0.5 in k 7.381 * [backup-simplify]: Simplify 0.5 into 0.5 7.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.382 * [taylor]: Taking taylor expansion of k in k 7.382 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify 1 into 1 7.382 * [backup-simplify]: Simplify (/ 1 1) into 1 7.382 * [taylor]: Taking taylor expansion of 1.0 in k 7.382 * [backup-simplify]: Simplify 1.0 into 1.0 7.382 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.382 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.382 * [taylor]: Taking taylor expansion of 2.0 in k 7.382 * [backup-simplify]: Simplify 2.0 into 2.0 7.382 * [taylor]: Taking taylor expansion of PI in k 7.382 * [backup-simplify]: Simplify PI into PI 7.383 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.384 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.384 * [backup-simplify]: Simplify (+ 1 0) into 1 7.385 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.387 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.388 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 7.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.388 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.388 * [taylor]: Taking taylor expansion of 0.5 in k 7.388 * [backup-simplify]: Simplify 0.5 into 0.5 7.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.388 * [taylor]: Taking taylor expansion of k in k 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ 1 1) into 1 7.389 * [taylor]: Taking taylor expansion of 1.0 in k 7.389 * [backup-simplify]: Simplify 1.0 into 1.0 7.389 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.389 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.389 * [taylor]: Taking taylor expansion of 2.0 in k 7.389 * [backup-simplify]: Simplify 2.0 into 2.0 7.389 * [taylor]: Taking taylor expansion of PI in k 7.389 * [backup-simplify]: Simplify PI into PI 7.389 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.390 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.391 * [backup-simplify]: Simplify (+ 1 0) into 1 7.391 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.393 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.394 * [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)))) 7.395 * [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)))) 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 7.397 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.397 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 7.397 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.397 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.397 * [taylor]: Taking taylor expansion of 1.0 in k 7.397 * [backup-simplify]: Simplify 1.0 into 1.0 7.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.397 * [taylor]: Taking taylor expansion of k in k 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.398 * [backup-simplify]: Simplify (/ 1 1) into 1 7.398 * [backup-simplify]: Simplify (sqrt 0) into 0 7.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.399 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.399 * [taylor]: Taking taylor expansion of 1.0 in k 7.400 * [backup-simplify]: Simplify 1.0 into 1.0 7.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.400 * [taylor]: Taking taylor expansion of k in k 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify 1 into 1 7.400 * [backup-simplify]: Simplify (/ 1 1) into 1 7.400 * [backup-simplify]: Simplify (sqrt 0) into 0 7.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.402 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.403 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.407 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.413 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.414 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.421 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.422 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.423 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 7.423 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 7.423 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.423 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.423 * [taylor]: Taking taylor expansion of 1.0 in k 7.423 * [backup-simplify]: Simplify 1.0 into 1.0 7.423 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.423 * [taylor]: Taking taylor expansion of k in k 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.424 * [backup-simplify]: Simplify (sqrt 0) into 0 7.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.425 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.425 * [taylor]: Taking taylor expansion of 1.0 in k 7.425 * [backup-simplify]: Simplify 1.0 into 1.0 7.425 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.425 * [taylor]: Taking taylor expansion of k in k 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.426 * [backup-simplify]: Simplify (sqrt 0) into 0 7.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.427 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.427 * [backup-simplify]: Simplify 0 into 0 7.429 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.429 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.432 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.434 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.435 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.440 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.441 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.442 * [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)))))))) 7.442 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 7.443 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.443 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.443 * [taylor]: Taking taylor expansion of 1.0 in k 7.443 * [backup-simplify]: Simplify 1.0 into 1.0 7.443 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.443 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.443 * [taylor]: Taking taylor expansion of -1 in k 7.443 * [backup-simplify]: Simplify -1 into -1 7.443 * [taylor]: Taking taylor expansion of k in k 7.443 * [backup-simplify]: Simplify 0 into 0 7.443 * [backup-simplify]: Simplify 1 into 1 7.443 * [backup-simplify]: Simplify (/ -1 1) into -1 7.444 * [backup-simplify]: Simplify (sqrt 0) into 0 7.445 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.445 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.445 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.446 * [taylor]: Taking taylor expansion of 1.0 in k 7.446 * [backup-simplify]: Simplify 1.0 into 1.0 7.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.446 * [taylor]: Taking taylor expansion of -1 in k 7.446 * [backup-simplify]: Simplify -1 into -1 7.446 * [taylor]: Taking taylor expansion of k in k 7.446 * [backup-simplify]: Simplify 0 into 0 7.446 * [backup-simplify]: Simplify 1 into 1 7.446 * [backup-simplify]: Simplify (/ -1 1) into -1 7.447 * [backup-simplify]: Simplify (sqrt 0) into 0 7.448 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.448 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.454 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.454 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.459 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.459 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.460 * [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))))) 7.460 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.461 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 7.461 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 7.461 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 7.461 * [taylor]: Taking taylor expansion of 1.0 in k 7.461 * [backup-simplify]: Simplify 1.0 into 1.0 7.461 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 7.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.461 * [taylor]: Taking taylor expansion of 0.5 in k 7.461 * [backup-simplify]: Simplify 0.5 into 0.5 7.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.461 * [taylor]: Taking taylor expansion of 1.0 in k 7.461 * [backup-simplify]: Simplify 1.0 into 1.0 7.461 * [taylor]: Taking taylor expansion of k in k 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.461 * [taylor]: Taking taylor expansion of 2.0 in k 7.461 * [backup-simplify]: Simplify 2.0 into 2.0 7.461 * [taylor]: Taking taylor expansion of PI in k 7.461 * [backup-simplify]: Simplify PI into PI 7.461 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.462 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.462 * [backup-simplify]: Simplify (- 0) into 0 7.463 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.463 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.464 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.465 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.465 * [taylor]: Taking taylor expansion of k in k 7.465 * [backup-simplify]: Simplify 0 into 0 7.465 * [backup-simplify]: Simplify 1 into 1 7.466 * [backup-simplify]: Simplify (/ 1 1) into 1 7.466 * [backup-simplify]: Simplify (sqrt 0) into 0 7.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.467 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 7.467 * [taylor]: Taking taylor expansion of 1.0 in k 7.467 * [backup-simplify]: Simplify 1.0 into 1.0 7.467 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 7.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.467 * [taylor]: Taking taylor expansion of 0.5 in k 7.467 * [backup-simplify]: Simplify 0.5 into 0.5 7.467 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.467 * [taylor]: Taking taylor expansion of 1.0 in k 7.467 * [backup-simplify]: Simplify 1.0 into 1.0 7.467 * [taylor]: Taking taylor expansion of k in k 7.467 * [backup-simplify]: Simplify 0 into 0 7.467 * [backup-simplify]: Simplify 1 into 1 7.467 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.467 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.467 * [taylor]: Taking taylor expansion of 2.0 in k 7.467 * [backup-simplify]: Simplify 2.0 into 2.0 7.467 * [taylor]: Taking taylor expansion of PI in k 7.467 * [backup-simplify]: Simplify PI into PI 7.467 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.468 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.468 * [backup-simplify]: Simplify (- 0) into 0 7.468 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.469 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.470 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.472 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.472 * [taylor]: Taking taylor expansion of k in k 7.472 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify 1 into 1 7.472 * [backup-simplify]: Simplify (/ 1 1) into 1 7.472 * [backup-simplify]: Simplify (sqrt 0) into 0 7.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.473 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) 0) into 0 7.474 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.474 * [backup-simplify]: Simplify 0 into 0 7.474 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.475 * [backup-simplify]: Simplify (- 1) into -1 7.476 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.477 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.479 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.492 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 7.499 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.509 * [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))) 7.513 * [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))) 7.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.516 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.518 * [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 7.518 * [backup-simplify]: Simplify (- 0) into 0 7.518 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.531 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 7.554 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 7.584 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 7.599 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 7.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.602 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.605 * [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 7.606 * [backup-simplify]: Simplify (- 0) into 0 7.606 * [backup-simplify]: Simplify (+ 0 0) into 0 7.607 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 7.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 7.619 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 7.654 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 7.700 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 7.724 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 7.773 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2))) (- (+ (* +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) k)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) k)))))))))))))) 7.773 * [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 (- 1.0 (/ 1 k)))) (sqrt k))) 7.773 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 7.774 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 7.774 * [taylor]: Taking taylor expansion of 1.0 in k 7.774 * [backup-simplify]: Simplify 1.0 into 1.0 7.774 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 7.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.774 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.774 * [taylor]: Taking taylor expansion of 0.5 in k 7.774 * [backup-simplify]: Simplify 0.5 into 0.5 7.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.774 * [taylor]: Taking taylor expansion of 1.0 in k 7.774 * [backup-simplify]: Simplify 1.0 into 1.0 7.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.774 * [taylor]: Taking taylor expansion of k in k 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.774 * [backup-simplify]: Simplify (/ 1 1) into 1 7.774 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.774 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.774 * [taylor]: Taking taylor expansion of 2.0 in k 7.774 * [backup-simplify]: Simplify 2.0 into 2.0 7.774 * [taylor]: Taking taylor expansion of PI in k 7.774 * [backup-simplify]: Simplify PI into PI 7.775 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.775 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.776 * [backup-simplify]: Simplify (- 1) into -1 7.776 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.776 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.777 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.778 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 7.778 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.778 * [taylor]: Taking taylor expansion of k in k 7.778 * [backup-simplify]: Simplify 0 into 0 7.778 * [backup-simplify]: Simplify 1 into 1 7.778 * [backup-simplify]: Simplify (sqrt 0) into 0 7.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.779 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 7.779 * [taylor]: Taking taylor expansion of 1.0 in k 7.779 * [backup-simplify]: Simplify 1.0 into 1.0 7.779 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 7.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.779 * [taylor]: Taking taylor expansion of 0.5 in k 7.779 * [backup-simplify]: Simplify 0.5 into 0.5 7.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.779 * [taylor]: Taking taylor expansion of 1.0 in k 7.779 * [backup-simplify]: Simplify 1.0 into 1.0 7.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.779 * [taylor]: Taking taylor expansion of k in k 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.780 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.780 * [taylor]: Taking taylor expansion of 2.0 in k 7.780 * [backup-simplify]: Simplify 2.0 into 2.0 7.780 * [taylor]: Taking taylor expansion of PI in k 7.780 * [backup-simplify]: Simplify PI into PI 7.780 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.781 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.781 * [backup-simplify]: Simplify (- 1) into -1 7.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.781 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.782 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.783 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 7.783 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.783 * [taylor]: Taking taylor expansion of k in k 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 1 into 1 7.783 * [backup-simplify]: Simplify (sqrt 0) into 0 7.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.785 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 0) into 0 7.785 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.785 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.787 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.788 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.790 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.791 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.793 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.793 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.797 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.799 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.801 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 7.805 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2)))))))) 7.806 * [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)))) 7.806 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 7.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 7.806 * [taylor]: Taking taylor expansion of 1.0 in k 7.806 * [backup-simplify]: Simplify 1.0 into 1.0 7.806 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 7.806 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.806 * [taylor]: Taking taylor expansion of 0.5 in k 7.806 * [backup-simplify]: Simplify 0.5 into 0.5 7.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.806 * [taylor]: Taking taylor expansion of k in k 7.806 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify 1 into 1 7.807 * [backup-simplify]: Simplify (/ 1 1) into 1 7.807 * [taylor]: Taking taylor expansion of 1.0 in k 7.807 * [backup-simplify]: Simplify 1.0 into 1.0 7.807 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.807 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.807 * [taylor]: Taking taylor expansion of 2.0 in k 7.807 * [backup-simplify]: Simplify 2.0 into 2.0 7.807 * [taylor]: Taking taylor expansion of PI in k 7.807 * [backup-simplify]: Simplify PI into PI 7.807 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.808 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.809 * [backup-simplify]: Simplify (+ 1 0) into 1 7.809 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.811 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.812 * [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)))) 7.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.812 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.812 * [taylor]: Taking taylor expansion of -1 in k 7.812 * [backup-simplify]: Simplify -1 into -1 7.812 * [taylor]: Taking taylor expansion of k in k 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 1 into 1 7.813 * [backup-simplify]: Simplify (/ -1 1) into -1 7.813 * [backup-simplify]: Simplify (sqrt 0) into 0 7.815 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.816 * [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))))) 7.816 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 7.816 * [taylor]: Taking taylor expansion of 1.0 in k 7.816 * [backup-simplify]: Simplify 1.0 into 1.0 7.816 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 7.816 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.816 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.816 * [taylor]: Taking taylor expansion of 0.5 in k 7.816 * [backup-simplify]: Simplify 0.5 into 0.5 7.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.816 * [taylor]: Taking taylor expansion of k in k 7.816 * [backup-simplify]: Simplify 0 into 0 7.816 * [backup-simplify]: Simplify 1 into 1 7.817 * [backup-simplify]: Simplify (/ 1 1) into 1 7.817 * [taylor]: Taking taylor expansion of 1.0 in k 7.817 * [backup-simplify]: Simplify 1.0 into 1.0 7.817 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.817 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.817 * [taylor]: Taking taylor expansion of 2.0 in k 7.817 * [backup-simplify]: Simplify 2.0 into 2.0 7.817 * [taylor]: Taking taylor expansion of PI in k 7.817 * [backup-simplify]: Simplify PI into PI 7.817 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.818 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.819 * [backup-simplify]: Simplify (+ 1 0) into 1 7.819 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.821 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.822 * [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)))) 7.822 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.822 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.822 * [taylor]: Taking taylor expansion of -1 in k 7.822 * [backup-simplify]: Simplify -1 into -1 7.822 * [taylor]: Taking taylor expansion of k in k 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (/ -1 1) into -1 7.823 * [backup-simplify]: Simplify (sqrt 0) into 0 7.825 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.826 * [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))))) 7.827 * [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))))) 7.828 * [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))))) 7.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.834 * [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)))))) 7.836 * [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)))))) 7.837 * [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)))))) 7.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.842 * [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)))))) 7.844 * [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)))))) 7.845 * [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)))))) 7.847 * [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 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))))) 7.847 * * * [progress]: simplifying candidates 7.850 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt 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(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2))) (- (+ (* +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) k)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) k)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))))) 7.852 * * [simplify]: iteration 0: 326 enodes 7.951 * * [simplify]: iteration 1: 900 enodes 8.384 * * [simplify]: iteration 2: 3720 enodes 9.231 * * [simplify]: iteration complete: 5001 enodes 9.231 * * [simplify]: Extracting #0: cost 139 inf + 0 9.233 * * [simplify]: Extracting #1: cost 934 inf + 3 9.238 * * [simplify]: Extracting #2: cost 1506 inf + 6318 9.251 * * [simplify]: Extracting #3: cost 1631 inf + 59617 9.320 * * [simplify]: Extracting #4: cost 899 inf + 293973 9.396 * * [simplify]: Extracting #5: cost 419 inf + 491996 9.491 * * [simplify]: Extracting #6: cost 239 inf + 559040 9.623 * * [simplify]: Extracting #7: cost 64 inf + 671831 9.738 * * [simplify]: Extracting #8: cost 1 inf + 728566 9.895 * * [simplify]: Extracting #9: cost 0 inf + 730072 10.021 * [simplify]: Simplified to: (/ (* (log n) (- 1.0 k)) 2.0) (/ (* (log 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 2.0)) (/ (cbrt (- 1.0 k)) (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 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(pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (cbrt (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* 1.0 (pow (* PI 2.0) (/ 1.0 2.0))) (* (pow (* PI 2.0) (/ k 2.0)) (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ 1.0 (/ (sqrt k) (* (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))))) (/ (* 1.0 (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt k)) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (/ (* (cbrt 1.0) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k))) (/ (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt (cbrt k))) (/ 1.0 (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ 1.0 (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (pow (* PI 2.0) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (- (+ (* (* 0.125 (* (* (log n) k) (* (log n) k))) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5))) (exp (* (* (- 1.0 k) -0.5) (- (log n)))) (exp (* (- 1.0 k) (* 0.5 (+ (- (log -1) (log -1)) (log n))))) (+ (exp (* 0.5 (log (* PI 2.0)))) (- (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0))))) 0.125) (* (* 0.5 (* k (log (* PI 2.0)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (- (+ (- (* (* k k) +nan.0) +nan.0) (* +nan.0 k))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ (/ +nan.0 k) (* k k)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (- (+ (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* +nan.0 (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0)))))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* +nan.0 (* k k)))) (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* +nan.0 k)) (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (- (* (* k k) (log (* PI 2.0))) (* k (log (* PI 2.0))))))))) (+ (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (* k (* k k))) (/ (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (* k k)))) (- (/ (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (/ k +nan.0)))) (+ (- (/ (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (/ k +nan.0))) (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0)))) (* k k)) (exp (* (* 0.5 (- 1.0 k)) (log (* PI 2.0))))))) 10.034 * * * [progress]: adding candidates to table 11.226 * * [progress]: iteration 3 / 4 11.227 * * * [progress]: picking best candidate 11.270 * * * * [pick]: Picked # 11.270 * * * [progress]: localizing error 11.319 * * * [progress]: generating rewritten candidates 11.319 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 11.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 11.368 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 11.379 * * * [progress]: generating series expansions 11.379 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.379 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.379 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.379 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.379 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.379 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.379 * [taylor]: Taking taylor expansion of 0.5 in k 11.379 * [backup-simplify]: Simplify 0.5 into 0.5 11.379 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.379 * [taylor]: Taking taylor expansion of 1.0 in k 11.379 * [backup-simplify]: Simplify 1.0 into 1.0 11.379 * [taylor]: Taking taylor expansion of k in k 11.379 * [backup-simplify]: Simplify 0 into 0 11.379 * [backup-simplify]: Simplify 1 into 1 11.379 * [taylor]: Taking taylor expansion of (log n) in k 11.379 * [taylor]: Taking taylor expansion of n in k 11.379 * [backup-simplify]: Simplify n into n 11.379 * [backup-simplify]: Simplify (log n) into (log n) 11.380 * [backup-simplify]: Simplify (- 0) into 0 11.380 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.380 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.380 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.381 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.381 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.381 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.381 * [taylor]: Taking taylor expansion of 0.5 in n 11.381 * [backup-simplify]: Simplify 0.5 into 0.5 11.381 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.381 * [taylor]: Taking taylor expansion of 1.0 in n 11.381 * [backup-simplify]: Simplify 1.0 into 1.0 11.381 * [taylor]: Taking taylor expansion of k in n 11.381 * [backup-simplify]: Simplify k into k 11.381 * [taylor]: Taking taylor expansion of (log n) in n 11.381 * [taylor]: Taking taylor expansion of n in n 11.381 * [backup-simplify]: Simplify 0 into 0 11.381 * [backup-simplify]: Simplify 1 into 1 11.381 * [backup-simplify]: Simplify (log 1) into 0 11.381 * [backup-simplify]: Simplify (- k) into (- k) 11.381 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.381 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.382 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.382 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.382 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.382 * [taylor]: Taking taylor expansion of 0.5 in n 11.382 * [backup-simplify]: Simplify 0.5 into 0.5 11.382 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.382 * [taylor]: Taking taylor expansion of 1.0 in n 11.382 * [backup-simplify]: Simplify 1.0 into 1.0 11.382 * [taylor]: Taking taylor expansion of k in n 11.382 * [backup-simplify]: Simplify k into k 11.382 * [taylor]: Taking taylor expansion of (log n) in n 11.382 * [taylor]: Taking taylor expansion of n in n 11.382 * [backup-simplify]: Simplify 0 into 0 11.382 * [backup-simplify]: Simplify 1 into 1 11.382 * [backup-simplify]: Simplify (log 1) into 0 11.382 * [backup-simplify]: Simplify (- k) into (- k) 11.382 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.382 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.383 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.383 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.383 * [taylor]: Taking taylor expansion of 0.5 in k 11.383 * [backup-simplify]: Simplify 0.5 into 0.5 11.383 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.383 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.383 * [taylor]: Taking taylor expansion of 1.0 in k 11.383 * [backup-simplify]: Simplify 1.0 into 1.0 11.383 * [taylor]: Taking taylor expansion of k in k 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 1 into 1 11.383 * [taylor]: Taking taylor expansion of (log n) in k 11.383 * [taylor]: Taking taylor expansion of n in k 11.383 * [backup-simplify]: Simplify n into n 11.383 * [backup-simplify]: Simplify (log n) into (log n) 11.383 * [backup-simplify]: Simplify (- 0) into 0 11.384 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.384 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.384 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.384 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.384 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.385 * [backup-simplify]: Simplify (- 0) into 0 11.385 * [backup-simplify]: Simplify (+ 0 0) into 0 11.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.386 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.386 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.386 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.386 * [taylor]: Taking taylor expansion of 0 in k 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.387 * [backup-simplify]: Simplify (- 1) into -1 11.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.391 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.391 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.392 * [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))) 11.392 * [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))) 11.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.394 * [backup-simplify]: Simplify (- 0) into 0 11.394 * [backup-simplify]: Simplify (+ 0 0) into 0 11.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.395 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.395 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.396 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.396 * [taylor]: Taking taylor expansion of 0 in k 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 0 into 0 11.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.398 * [backup-simplify]: Simplify (- 0) into 0 11.398 * [backup-simplify]: Simplify (+ 0 0) into 0 11.398 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.399 * [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))) 11.400 * [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))) 11.400 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 11.400 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.400 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.400 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.400 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.400 * [taylor]: Taking taylor expansion of 0.5 in k 11.401 * [backup-simplify]: Simplify 0.5 into 0.5 11.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.401 * [taylor]: Taking taylor expansion of 1.0 in k 11.401 * [backup-simplify]: Simplify 1.0 into 1.0 11.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.401 * [taylor]: Taking taylor expansion of k in k 11.401 * [backup-simplify]: Simplify 0 into 0 11.401 * [backup-simplify]: Simplify 1 into 1 11.401 * [backup-simplify]: Simplify (/ 1 1) into 1 11.401 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.401 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.401 * [taylor]: Taking taylor expansion of n in k 11.401 * [backup-simplify]: Simplify n into n 11.401 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.401 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.401 * [backup-simplify]: Simplify (- 1) into -1 11.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.402 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.402 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.402 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 11.402 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.402 * [taylor]: Taking taylor expansion of 0.5 in n 11.402 * [backup-simplify]: Simplify 0.5 into 0.5 11.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.402 * [taylor]: Taking taylor expansion of 1.0 in n 11.402 * [backup-simplify]: Simplify 1.0 into 1.0 11.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.402 * [taylor]: Taking taylor expansion of k in n 11.402 * [backup-simplify]: Simplify k into k 11.402 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.402 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.402 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.402 * [taylor]: Taking taylor expansion of n in n 11.402 * [backup-simplify]: Simplify 0 into 0 11.402 * [backup-simplify]: Simplify 1 into 1 11.403 * [backup-simplify]: Simplify (/ 1 1) into 1 11.403 * [backup-simplify]: Simplify (log 1) into 0 11.403 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.403 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.403 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.403 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.403 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 11.403 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 11.403 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.404 * [taylor]: Taking taylor expansion of 0.5 in n 11.404 * [backup-simplify]: Simplify 0.5 into 0.5 11.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.404 * [taylor]: Taking taylor expansion of 1.0 in n 11.404 * [backup-simplify]: Simplify 1.0 into 1.0 11.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.404 * [taylor]: Taking taylor expansion of k in n 11.404 * [backup-simplify]: Simplify k into k 11.404 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.404 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.404 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.404 * [taylor]: Taking taylor expansion of n in n 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [backup-simplify]: Simplify (/ 1 1) into 1 11.404 * [backup-simplify]: Simplify (log 1) into 0 11.404 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.404 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.404 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.405 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.405 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 11.405 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 11.405 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 11.405 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 11.405 * [taylor]: Taking taylor expansion of -0.5 in k 11.405 * [backup-simplify]: Simplify -0.5 into -0.5 11.405 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 11.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.405 * [taylor]: Taking taylor expansion of 1.0 in k 11.405 * [backup-simplify]: Simplify 1.0 into 1.0 11.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.405 * [taylor]: Taking taylor expansion of k in k 11.405 * [backup-simplify]: Simplify 0 into 0 11.405 * [backup-simplify]: Simplify 1 into 1 11.405 * [backup-simplify]: Simplify (/ 1 1) into 1 11.405 * [taylor]: Taking taylor expansion of (log n) in k 11.405 * [taylor]: Taking taylor expansion of n in k 11.405 * [backup-simplify]: Simplify n into n 11.406 * [backup-simplify]: Simplify (log n) into (log n) 11.406 * [backup-simplify]: Simplify (- 1) into -1 11.406 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.406 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 11.406 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.406 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 11.406 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 11.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.408 * [backup-simplify]: Simplify (- 0) into 0 11.408 * [backup-simplify]: Simplify (+ 0 0) into 0 11.409 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.409 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.410 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.410 * [taylor]: Taking taylor expansion of 0 in k 11.410 * [backup-simplify]: Simplify 0 into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.410 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.412 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.413 * [backup-simplify]: Simplify (- 0) into 0 11.413 * [backup-simplify]: Simplify (+ 0 0) into 0 11.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.414 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.415 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.415 * [taylor]: Taking taylor expansion of 0 in k 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 0 into 0 11.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.419 * [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 11.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.419 * [backup-simplify]: Simplify (- 0) into 0 11.419 * [backup-simplify]: Simplify (+ 0 0) into 0 11.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.420 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.421 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.422 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.422 * [taylor]: Taking taylor expansion of 0 in k 11.422 * [backup-simplify]: Simplify 0 into 0 11.422 * [backup-simplify]: Simplify 0 into 0 11.422 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.422 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.422 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.422 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.423 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.423 * [taylor]: Taking taylor expansion of 0.5 in k 11.423 * [backup-simplify]: Simplify 0.5 into 0.5 11.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.423 * [taylor]: Taking taylor expansion of k in k 11.423 * [backup-simplify]: Simplify 0 into 0 11.423 * [backup-simplify]: Simplify 1 into 1 11.423 * [backup-simplify]: Simplify (/ 1 1) into 1 11.423 * [taylor]: Taking taylor expansion of 1.0 in k 11.423 * [backup-simplify]: Simplify 1.0 into 1.0 11.423 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.423 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.423 * [taylor]: Taking taylor expansion of -1 in k 11.423 * [backup-simplify]: Simplify -1 into -1 11.423 * [taylor]: Taking taylor expansion of n in k 11.423 * [backup-simplify]: Simplify n into n 11.423 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.423 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.423 * [backup-simplify]: Simplify (+ 1 0) into 1 11.424 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.424 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.424 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 11.424 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.424 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.424 * [taylor]: Taking taylor expansion of 0.5 in n 11.424 * [backup-simplify]: Simplify 0.5 into 0.5 11.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.424 * [taylor]: Taking taylor expansion of k in n 11.424 * [backup-simplify]: Simplify k into k 11.424 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.424 * [taylor]: Taking taylor expansion of 1.0 in n 11.424 * [backup-simplify]: Simplify 1.0 into 1.0 11.424 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.424 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.424 * [taylor]: Taking taylor expansion of -1 in n 11.424 * [backup-simplify]: Simplify -1 into -1 11.424 * [taylor]: Taking taylor expansion of n in n 11.424 * [backup-simplify]: Simplify 0 into 0 11.424 * [backup-simplify]: Simplify 1 into 1 11.425 * [backup-simplify]: Simplify (/ -1 1) into -1 11.425 * [backup-simplify]: Simplify (log -1) into (log -1) 11.425 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.425 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.426 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.426 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.426 * [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)))) 11.426 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.426 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.426 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.426 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.426 * [taylor]: Taking taylor expansion of 0.5 in n 11.426 * [backup-simplify]: Simplify 0.5 into 0.5 11.426 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.426 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.427 * [taylor]: Taking taylor expansion of k in n 11.427 * [backup-simplify]: Simplify k into k 11.427 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.427 * [taylor]: Taking taylor expansion of 1.0 in n 11.427 * [backup-simplify]: Simplify 1.0 into 1.0 11.427 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.427 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.427 * [taylor]: Taking taylor expansion of -1 in n 11.427 * [backup-simplify]: Simplify -1 into -1 11.427 * [taylor]: Taking taylor expansion of n in n 11.427 * [backup-simplify]: Simplify 0 into 0 11.427 * [backup-simplify]: Simplify 1 into 1 11.427 * [backup-simplify]: Simplify (/ -1 1) into -1 11.427 * [backup-simplify]: Simplify (log -1) into (log -1) 11.427 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.427 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.428 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.429 * [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)))) 11.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.429 * [taylor]: Taking taylor expansion of 0.5 in k 11.429 * [backup-simplify]: Simplify 0.5 into 0.5 11.429 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.429 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.429 * [taylor]: Taking taylor expansion of (log -1) in k 11.429 * [taylor]: Taking taylor expansion of -1 in k 11.429 * [backup-simplify]: Simplify -1 into -1 11.429 * [backup-simplify]: Simplify (log -1) into (log -1) 11.429 * [taylor]: Taking taylor expansion of (log n) in k 11.429 * [taylor]: Taking taylor expansion of n in k 11.429 * [backup-simplify]: Simplify n into n 11.429 * [backup-simplify]: Simplify (log n) into (log n) 11.429 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.429 * [taylor]: Taking taylor expansion of k in k 11.429 * [backup-simplify]: Simplify 0 into 0 11.429 * [backup-simplify]: Simplify 1 into 1 11.429 * [backup-simplify]: Simplify (/ 1 1) into 1 11.429 * [taylor]: Taking taylor expansion of 1.0 in k 11.430 * [backup-simplify]: Simplify 1.0 into 1.0 11.430 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.430 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.430 * [backup-simplify]: Simplify (+ 1 0) into 1 11.430 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.431 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.431 * [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)))) 11.431 * [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)))) 11.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.433 * [backup-simplify]: Simplify (+ 0 0) into 0 11.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.434 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.435 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.435 * [taylor]: Taking taylor expansion of 0 in k 11.435 * [backup-simplify]: Simplify 0 into 0 11.435 * [backup-simplify]: Simplify 0 into 0 11.435 * [backup-simplify]: Simplify 0 into 0 11.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.437 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.438 * [backup-simplify]: Simplify (+ 0 0) into 0 11.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.439 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.441 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.441 * [taylor]: Taking taylor expansion of 0 in k 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.444 * [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 11.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.445 * [backup-simplify]: Simplify (+ 0 0) into 0 11.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.447 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.448 * [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 11.448 * [taylor]: Taking taylor expansion of 0 in k 11.448 * [backup-simplify]: Simplify 0 into 0 11.448 * [backup-simplify]: Simplify 0 into 0 11.448 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 11.449 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 11.449 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.449 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.449 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.449 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.449 * [taylor]: Taking taylor expansion of 0.5 in k 11.449 * [backup-simplify]: Simplify 0.5 into 0.5 11.449 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.449 * [taylor]: Taking taylor expansion of 1.0 in k 11.449 * [backup-simplify]: Simplify 1.0 into 1.0 11.449 * [taylor]: Taking taylor expansion of k in k 11.449 * [backup-simplify]: Simplify 0 into 0 11.449 * [backup-simplify]: Simplify 1 into 1 11.449 * [taylor]: Taking taylor expansion of (log PI) in k 11.449 * [taylor]: Taking taylor expansion of PI in k 11.449 * [backup-simplify]: Simplify PI into PI 11.450 * [backup-simplify]: Simplify (log PI) into (log PI) 11.450 * [backup-simplify]: Simplify (- 0) into 0 11.450 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.451 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.451 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.452 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.452 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.452 * [taylor]: Taking taylor expansion of 0.5 in k 11.452 * [backup-simplify]: Simplify 0.5 into 0.5 11.452 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.452 * [taylor]: Taking taylor expansion of 1.0 in k 11.452 * [backup-simplify]: Simplify 1.0 into 1.0 11.452 * [taylor]: Taking taylor expansion of k in k 11.452 * [backup-simplify]: Simplify 0 into 0 11.452 * [backup-simplify]: Simplify 1 into 1 11.452 * [taylor]: Taking taylor expansion of (log PI) in k 11.452 * [taylor]: Taking taylor expansion of PI in k 11.453 * [backup-simplify]: Simplify PI into PI 11.453 * [backup-simplify]: Simplify (log PI) into (log PI) 11.453 * [backup-simplify]: Simplify (- 0) into 0 11.453 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.454 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.454 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.455 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.456 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.457 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.458 * [backup-simplify]: Simplify (- 1) into -1 11.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.460 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.472 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 11.476 * [backup-simplify]: Simplify (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 11.479 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.480 * [backup-simplify]: Simplify (- 0) into 0 11.480 * [backup-simplify]: Simplify (+ 0 0) into 0 11.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.482 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.494 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 11.499 * [backup-simplify]: Simplify (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 11.510 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) k) (pow PI 0.5))) into (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) 11.510 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.510 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.510 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.510 * [taylor]: Taking taylor expansion of 0.5 in k 11.510 * [backup-simplify]: Simplify 0.5 into 0.5 11.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.510 * [taylor]: Taking taylor expansion of 1.0 in k 11.510 * [backup-simplify]: Simplify 1.0 into 1.0 11.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.510 * [taylor]: Taking taylor expansion of k in k 11.510 * [backup-simplify]: Simplify 0 into 0 11.510 * [backup-simplify]: Simplify 1 into 1 11.511 * [backup-simplify]: Simplify (/ 1 1) into 1 11.511 * [taylor]: Taking taylor expansion of (log PI) in k 11.511 * [taylor]: Taking taylor expansion of PI in k 11.511 * [backup-simplify]: Simplify PI into PI 11.511 * [backup-simplify]: Simplify (log PI) into (log PI) 11.511 * [backup-simplify]: Simplify (- 1) into -1 11.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.512 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.512 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.513 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 11.513 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.513 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.513 * [taylor]: Taking taylor expansion of 0.5 in k 11.513 * [backup-simplify]: Simplify 0.5 into 0.5 11.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.513 * [taylor]: Taking taylor expansion of 1.0 in k 11.513 * [backup-simplify]: Simplify 1.0 into 1.0 11.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.513 * [taylor]: Taking taylor expansion of k in k 11.513 * [backup-simplify]: Simplify 0 into 0 11.513 * [backup-simplify]: Simplify 1 into 1 11.513 * [backup-simplify]: Simplify (/ 1 1) into 1 11.513 * [taylor]: Taking taylor expansion of (log PI) in k 11.513 * [taylor]: Taking taylor expansion of PI in k 11.513 * [backup-simplify]: Simplify PI into PI 11.514 * [backup-simplify]: Simplify (log PI) into (log PI) 11.514 * [backup-simplify]: Simplify (- 1) into -1 11.514 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.514 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.515 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.515 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 11.516 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify 0 into 0 11.516 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.516 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.516 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.516 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.516 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.516 * [taylor]: Taking taylor expansion of 0.5 in k 11.517 * [backup-simplify]: Simplify 0.5 into 0.5 11.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.517 * [taylor]: Taking taylor expansion of k in k 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify 1 into 1 11.517 * [backup-simplify]: Simplify (/ 1 1) into 1 11.517 * [taylor]: Taking taylor expansion of 1.0 in k 11.517 * [backup-simplify]: Simplify 1.0 into 1.0 11.517 * [taylor]: Taking taylor expansion of (log PI) in k 11.517 * [taylor]: Taking taylor expansion of PI in k 11.517 * [backup-simplify]: Simplify PI into PI 11.517 * [backup-simplify]: Simplify (log PI) into (log PI) 11.517 * [backup-simplify]: Simplify (+ 1 0) into 1 11.518 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.518 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.519 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 11.519 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.519 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.519 * [taylor]: Taking taylor expansion of 0.5 in k 11.519 * [backup-simplify]: Simplify 0.5 into 0.5 11.519 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.519 * [taylor]: Taking taylor expansion of k in k 11.519 * [backup-simplify]: Simplify 0 into 0 11.519 * [backup-simplify]: Simplify 1 into 1 11.519 * [backup-simplify]: Simplify (/ 1 1) into 1 11.519 * [taylor]: Taking taylor expansion of 1.0 in k 11.519 * [backup-simplify]: Simplify 1.0 into 1.0 11.519 * [taylor]: Taking taylor expansion of (log PI) in k 11.519 * [taylor]: Taking taylor expansion of PI in k 11.519 * [backup-simplify]: Simplify PI into PI 11.520 * [backup-simplify]: Simplify (log PI) into (log PI) 11.520 * [backup-simplify]: Simplify (+ 1 0) into 1 11.520 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.521 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.521 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 11.522 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.522 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 11.522 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 11.522 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 11.522 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 11.522 * [taylor]: Taking taylor expansion of 1.0 in k 11.522 * [backup-simplify]: Simplify 1.0 into 1.0 11.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 11.523 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.523 * [taylor]: Taking taylor expansion of 0.5 in k 11.523 * [backup-simplify]: Simplify 0.5 into 0.5 11.523 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.523 * [taylor]: Taking taylor expansion of 1.0 in k 11.523 * [backup-simplify]: Simplify 1.0 into 1.0 11.523 * [taylor]: Taking taylor expansion of k in k 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 1 into 1 11.523 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.523 * [taylor]: Taking taylor expansion of 2.0 in k 11.523 * [backup-simplify]: Simplify 2.0 into 2.0 11.523 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.523 * [backup-simplify]: Simplify (- 0) into 0 11.524 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.524 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.524 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.525 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.525 * [taylor]: Taking taylor expansion of k in k 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.526 * [backup-simplify]: Simplify (/ 1 1) into 1 11.526 * [backup-simplify]: Simplify (sqrt 0) into 0 11.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.527 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 11.527 * [taylor]: Taking taylor expansion of 1.0 in k 11.527 * [backup-simplify]: Simplify 1.0 into 1.0 11.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 11.527 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.527 * [taylor]: Taking taylor expansion of 0.5 in k 11.527 * [backup-simplify]: Simplify 0.5 into 0.5 11.527 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.527 * [taylor]: Taking taylor expansion of 1.0 in k 11.527 * [backup-simplify]: Simplify 1.0 into 1.0 11.527 * [taylor]: Taking taylor expansion of k in k 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.527 * [taylor]: Taking taylor expansion of 2.0 in k 11.527 * [backup-simplify]: Simplify 2.0 into 2.0 11.527 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.527 * [backup-simplify]: Simplify (- 0) into 0 11.528 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.528 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.529 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.529 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.530 * [taylor]: Taking taylor expansion of k in k 11.530 * [backup-simplify]: Simplify 0 into 0 11.530 * [backup-simplify]: Simplify 1 into 1 11.530 * [backup-simplify]: Simplify (/ 1 1) into 1 11.530 * [backup-simplify]: Simplify (sqrt 0) into 0 11.531 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.531 * [backup-simplify]: Simplify (* (pow 2.0 0.5) 0) into 0 11.531 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.532 * [backup-simplify]: Simplify 0 into 0 11.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.533 * [backup-simplify]: Simplify (- 1) into -1 11.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.534 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.545 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 11.549 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 0)) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 11.555 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 11.558 * [backup-simplify]: Simplify (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 11.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.562 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.565 * [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 11.566 * [backup-simplify]: Simplify (- 0) into 0 11.566 * [backup-simplify]: Simplify (+ 0 0) into 0 11.567 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.580 * [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 (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 11.589 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) +nan.0) (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 0))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 11.599 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 11.604 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.610 * [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 11.610 * [backup-simplify]: Simplify (- 0) into 0 11.611 * [backup-simplify]: Simplify (+ 0 0) into 0 11.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.615 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.630 * [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 (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) 11.658 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) +nan.0) (+ (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) 0)))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 11.693 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 11.712 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 11.732 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) k) (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))))) into (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (pow k 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) k)) (- (* +nan.0 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (pow 2.0 1.0) 0.5)))))))))))))) 11.732 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 11.732 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 11.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 11.733 * [taylor]: Taking taylor expansion of 1.0 in k 11.733 * [backup-simplify]: Simplify 1.0 into 1.0 11.733 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 11.733 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.733 * [taylor]: Taking taylor expansion of 0.5 in k 11.733 * [backup-simplify]: Simplify 0.5 into 0.5 11.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.733 * [taylor]: Taking taylor expansion of 1.0 in k 11.733 * [backup-simplify]: Simplify 1.0 into 1.0 11.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.733 * [taylor]: Taking taylor expansion of k in k 11.733 * [backup-simplify]: Simplify 0 into 0 11.733 * [backup-simplify]: Simplify 1 into 1 11.733 * [backup-simplify]: Simplify (/ 1 1) into 1 11.733 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.733 * [taylor]: Taking taylor expansion of 2.0 in k 11.733 * [backup-simplify]: Simplify 2.0 into 2.0 11.733 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.734 * [backup-simplify]: Simplify (- 1) into -1 11.734 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.734 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.735 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.735 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 11.735 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.735 * [taylor]: Taking taylor expansion of k in k 11.735 * [backup-simplify]: Simplify 0 into 0 11.735 * [backup-simplify]: Simplify 1 into 1 11.735 * [backup-simplify]: Simplify (sqrt 0) into 0 11.736 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.736 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 11.736 * [taylor]: Taking taylor expansion of 1.0 in k 11.736 * [backup-simplify]: Simplify 1.0 into 1.0 11.736 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 11.736 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.736 * [taylor]: Taking taylor expansion of 0.5 in k 11.736 * [backup-simplify]: Simplify 0.5 into 0.5 11.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.736 * [taylor]: Taking taylor expansion of 1.0 in k 11.736 * [backup-simplify]: Simplify 1.0 into 1.0 11.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.736 * [taylor]: Taking taylor expansion of k in k 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [backup-simplify]: Simplify (/ 1 1) into 1 11.737 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.737 * [taylor]: Taking taylor expansion of 2.0 in k 11.737 * [backup-simplify]: Simplify 2.0 into 2.0 11.737 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.737 * [backup-simplify]: Simplify (- 1) into -1 11.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.740 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.740 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.741 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 11.741 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.741 * [taylor]: Taking taylor expansion of k in k 11.741 * [backup-simplify]: Simplify 0 into 0 11.741 * [backup-simplify]: Simplify 1 into 1 11.741 * [backup-simplify]: Simplify (sqrt 0) into 0 11.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 0) into 0 11.742 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.742 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.744 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.744 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.746 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.746 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.747 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.748 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.751 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.752 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.753 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 11.754 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 3)))))))) 11.755 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 11.755 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 11.755 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 11.755 * [taylor]: Taking taylor expansion of 1.0 in k 11.755 * [backup-simplify]: Simplify 1.0 into 1.0 11.755 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 11.755 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.755 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.755 * [taylor]: Taking taylor expansion of 0.5 in k 11.755 * [backup-simplify]: Simplify 0.5 into 0.5 11.755 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.755 * [taylor]: Taking taylor expansion of k in k 11.755 * [backup-simplify]: Simplify 0 into 0 11.755 * [backup-simplify]: Simplify 1 into 1 11.755 * [backup-simplify]: Simplify (/ 1 1) into 1 11.755 * [taylor]: Taking taylor expansion of 1.0 in k 11.755 * [backup-simplify]: Simplify 1.0 into 1.0 11.755 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.755 * [taylor]: Taking taylor expansion of 2.0 in k 11.755 * [backup-simplify]: Simplify 2.0 into 2.0 11.755 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.756 * [backup-simplify]: Simplify (+ 1 0) into 1 11.756 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.757 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.757 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 11.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.757 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.757 * [taylor]: Taking taylor expansion of -1 in k 11.757 * [backup-simplify]: Simplify -1 into -1 11.757 * [taylor]: Taking taylor expansion of k in k 11.757 * [backup-simplify]: Simplify 0 into 0 11.757 * [backup-simplify]: Simplify 1 into 1 11.757 * [backup-simplify]: Simplify (/ -1 1) into -1 11.757 * [backup-simplify]: Simplify (sqrt 0) into 0 11.758 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.759 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.759 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 11.759 * [taylor]: Taking taylor expansion of 1.0 in k 11.759 * [backup-simplify]: Simplify 1.0 into 1.0 11.759 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 11.759 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.759 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.759 * [taylor]: Taking taylor expansion of 0.5 in k 11.759 * [backup-simplify]: Simplify 0.5 into 0.5 11.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.759 * [taylor]: Taking taylor expansion of k in k 11.759 * [backup-simplify]: Simplify 0 into 0 11.759 * [backup-simplify]: Simplify 1 into 1 11.759 * [backup-simplify]: Simplify (/ 1 1) into 1 11.759 * [taylor]: Taking taylor expansion of 1.0 in k 11.759 * [backup-simplify]: Simplify 1.0 into 1.0 11.759 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.759 * [taylor]: Taking taylor expansion of 2.0 in k 11.759 * [backup-simplify]: Simplify 2.0 into 2.0 11.760 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.760 * [backup-simplify]: Simplify (+ 1 0) into 1 11.760 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.761 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.761 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 11.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.761 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.761 * [taylor]: Taking taylor expansion of -1 in k 11.761 * [backup-simplify]: Simplify -1 into -1 11.761 * [taylor]: Taking taylor expansion of k in k 11.761 * [backup-simplify]: Simplify 0 into 0 11.761 * [backup-simplify]: Simplify 1 into 1 11.761 * [backup-simplify]: Simplify (/ -1 1) into -1 11.762 * [backup-simplify]: Simplify (sqrt 0) into 0 11.762 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.763 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.763 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.763 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.766 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.767 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.767 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.768 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.772 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.773 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.774 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.775 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log 2.0)))))))))) 11.775 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 11.775 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.775 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.775 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.775 * [taylor]: Taking taylor expansion of 1.0 in k 11.775 * [backup-simplify]: Simplify 1.0 into 1.0 11.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.775 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.775 * [taylor]: Taking taylor expansion of k in k 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.776 * [backup-simplify]: Simplify (/ 1 1) into 1 11.776 * [backup-simplify]: Simplify (sqrt 0) into 0 11.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.777 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.777 * [taylor]: Taking taylor expansion of 1.0 in k 11.777 * [backup-simplify]: Simplify 1.0 into 1.0 11.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.777 * [taylor]: Taking taylor expansion of k in k 11.777 * [backup-simplify]: Simplify 0 into 0 11.777 * [backup-simplify]: Simplify 1 into 1 11.777 * [backup-simplify]: Simplify (/ 1 1) into 1 11.777 * [backup-simplify]: Simplify (sqrt 0) into 0 11.778 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.779 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.779 * [backup-simplify]: Simplify 0 into 0 11.779 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.780 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.782 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.783 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.783 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.787 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.788 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.789 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 11.789 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.789 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.789 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.789 * [taylor]: Taking taylor expansion of 1.0 in k 11.789 * [backup-simplify]: Simplify 1.0 into 1.0 11.789 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.789 * [taylor]: Taking taylor expansion of k in k 11.789 * [backup-simplify]: Simplify 0 into 0 11.789 * [backup-simplify]: Simplify 1 into 1 11.789 * [backup-simplify]: Simplify (sqrt 0) into 0 11.790 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.790 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.790 * [taylor]: Taking taylor expansion of 1.0 in k 11.790 * [backup-simplify]: Simplify 1.0 into 1.0 11.790 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.790 * [taylor]: Taking taylor expansion of k in k 11.790 * [backup-simplify]: Simplify 0 into 0 11.790 * [backup-simplify]: Simplify 1 into 1 11.790 * [backup-simplify]: Simplify (sqrt 0) into 0 11.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.791 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.791 * [backup-simplify]: Simplify 0 into 0 11.792 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.792 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.794 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.795 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.796 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.802 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.803 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.804 * [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)))))))) 11.804 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.805 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.805 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.805 * [taylor]: Taking taylor expansion of 1.0 in k 11.805 * [backup-simplify]: Simplify 1.0 into 1.0 11.805 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.805 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.805 * [taylor]: Taking taylor expansion of -1 in k 11.805 * [backup-simplify]: Simplify -1 into -1 11.805 * [taylor]: Taking taylor expansion of k in k 11.805 * [backup-simplify]: Simplify 0 into 0 11.805 * [backup-simplify]: Simplify 1 into 1 11.805 * [backup-simplify]: Simplify (/ -1 1) into -1 11.806 * [backup-simplify]: Simplify (sqrt 0) into 0 11.807 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.808 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.808 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.808 * [taylor]: Taking taylor expansion of 1.0 in k 11.808 * [backup-simplify]: Simplify 1.0 into 1.0 11.808 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.808 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.808 * [taylor]: Taking taylor expansion of -1 in k 11.808 * [backup-simplify]: Simplify -1 into -1 11.808 * [taylor]: Taking taylor expansion of k in k 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify 1 into 1 11.809 * [backup-simplify]: Simplify (/ -1 1) into -1 11.809 * [backup-simplify]: Simplify (sqrt 0) into 0 11.810 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.811 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.811 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.815 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.817 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.818 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.828 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.828 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.829 * [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))))) 11.829 * * * [progress]: simplifying candidates 11.834 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (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 1.0) (log (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow 2.0 (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow 2.0 (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 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)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (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)))) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* 1.0 (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 1 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (* 1.0 (pow 2.0 (/ (- 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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (pow k 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) k)) (- (* +nan.0 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (pow 2.0 1.0) 0.5)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log 2.0)))))))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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))))) 11.840 * * [simplify]: iteration 0: 345 enodes 11.954 * * [simplify]: iteration 1: 952 enodes 12.527 * * [simplify]: iteration 2: 4043 enodes 13.507 * * [simplify]: iteration complete: 5001 enodes 13.507 * * [simplify]: Extracting #0: cost 144 inf + 0 13.511 * * [simplify]: Extracting #1: cost 1008 inf + 45 13.523 * * [simplify]: Extracting #2: cost 1516 inf + 17928 13.550 * * [simplify]: Extracting #3: cost 1401 inf + 86814 13.600 * * [simplify]: Extracting #4: cost 775 inf + 317684 13.672 * * [simplify]: Extracting #5: cost 316 inf + 524608 13.755 * * [simplify]: Extracting #6: cost 114 inf + 611562 13.843 * * [simplify]: Extracting #7: cost 16 inf + 660881 13.970 * * [simplify]: Extracting #8: cost 0 inf + 668834 14.081 * * [simplify]: Extracting #9: cost 0 inf + 668394 14.223 * [simplify]: Simplified to: (/ (* (log n) (- 1.0 k)) 2.0) (/ (* (log 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 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow n (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (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 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 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 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 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow PI (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (exp (* (- 1.0 k) (log PI))) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) (/ 2.0 (log PI))) (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 2.0))) (pow PI (/ (- 1.0 k) (* 2 2.0))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (+ (log (/ 1.0 (sqrt k))) (/ (log 2.0) (/ 2.0 (- 1.0 k)))) (exp (/ 1.0 (/ (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 2.0 (/ (- 1.0 k) 2.0)) (/ (/ (* (* 1.0 1.0) 1.0) (sqrt k)) k))) (* (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 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))))) (cbrt (/ 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))))) (* (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))))) (sqrt (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0))))) (sqrt (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0))))) (* 1.0 (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (/ (* 1.0 (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))))) (sqrt k)) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) (* 2 2.0)))) (* (cbrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt k)) (/ (* (sqrt 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1.0 (/ (cbrt (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt (cbrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ 1.0 (/ (sqrt k) (pow 2.0 (/ (- 1.0 k) 2.0)))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* 1.0 (pow 2.0 (/ 1.0 2.0))) (sqrt k)) (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (* (* 1.0 1.0) 1.0) (sqrt k)) 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 (sqrt k))) (/ (cbrt 1.0) (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 n 0.5) (* (* 0.125 (* (* (log n) k) (* (log n) k))) (pow (pow n 1.0) 0.5))) (* (* 0.5 (* (log n) k)) (pow (pow n 1.0) 0.5))) (exp (* (* -0.5 (- 1.0 k)) (- (log n)))) (exp (* (- (log -1) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (* (log PI) k) (* (log PI) k))) (* (* k (log PI)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (+ (+ (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (* (* (* +nan.0 (* k k)) (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (+ (- (* (pow (pow 2.0 1.0) 0.5) (* +nan.0 (* k (log 2.0)))) (* k (* (pow (pow 2.0 1.0) 0.5) +nan.0))) (* (* (* k (log 2.0)) (* k (log 2.0))) (* (pow (pow 2.0 1.0) 0.5) +nan.0)))) (* (* (- (pow (pow 2.0 1.0) 0.5)) +nan.0) (* k k))) (+ (/ (- (* (exp (* (* (- 1.0 k) 0.5) (log 2.0))) +nan.0)) (* k k)) (* +nan.0 (- (/ (exp (* (* (- 1.0 k) 0.5) (log 2.0))) k) (/ (/ (exp (* (* (- 1.0 k) 0.5) (log 2.0))) (* k k)) k)))) (+ (/ (- (* (exp (* (* (- 1.0 k) 0.5) (log 2.0))) +nan.0)) (* k k)) (- (/ (* (exp (* (* (- 1.0 k) 0.5) (log 2.0))) +nan.0) k) (* (exp (* (* (- 1.0 k) 0.5) (log 2.0))) +nan.0))) (+ (- +nan.0 (* +nan.0 k)) (* (* k k) (- +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (* k (* k k)))) (/ (- +nan.0) (* k k))) (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) +nan.0)) 14.240 * * * [progress]: adding candidates to table 15.507 * * [progress]: iteration 4 / 4 15.507 * * * [progress]: picking best candidate 15.582 * * * * [pick]: Picked # 15.582 * * * [progress]: localizing error 15.641 * * * [progress]: generating rewritten candidates 15.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 15.648 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 15.656 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 15.671 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 15.829 * * * [progress]: generating series expansions 15.829 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 15.830 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 15.830 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 15.830 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 15.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 15.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 15.830 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.830 * [taylor]: Taking taylor expansion of 0.5 in k 15.830 * [backup-simplify]: Simplify 0.5 into 0.5 15.830 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.830 * [taylor]: Taking taylor expansion of 1.0 in k 15.830 * [backup-simplify]: Simplify 1.0 into 1.0 15.830 * [taylor]: Taking taylor expansion of k in k 15.830 * [backup-simplify]: Simplify 0 into 0 15.830 * [backup-simplify]: Simplify 1 into 1 15.830 * [taylor]: Taking taylor expansion of (log n) in k 15.830 * [taylor]: Taking taylor expansion of n in k 15.830 * [backup-simplify]: Simplify n into n 15.830 * [backup-simplify]: Simplify (log n) into (log n) 15.831 * [backup-simplify]: Simplify (- 0) into 0 15.831 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.832 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.832 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.832 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.832 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.832 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.832 * [taylor]: Taking taylor expansion of 0.5 in n 15.832 * [backup-simplify]: Simplify 0.5 into 0.5 15.832 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.832 * [taylor]: Taking taylor expansion of 1.0 in n 15.832 * [backup-simplify]: Simplify 1.0 into 1.0 15.832 * [taylor]: Taking taylor expansion of k in n 15.832 * [backup-simplify]: Simplify k into k 15.832 * [taylor]: Taking taylor expansion of (log n) in n 15.832 * [taylor]: Taking taylor expansion of n in n 15.832 * [backup-simplify]: Simplify 0 into 0 15.832 * [backup-simplify]: Simplify 1 into 1 15.833 * [backup-simplify]: Simplify (log 1) into 0 15.833 * [backup-simplify]: Simplify (- k) into (- k) 15.833 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.833 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.833 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.834 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.834 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.834 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.834 * [taylor]: Taking taylor expansion of 0.5 in n 15.834 * [backup-simplify]: Simplify 0.5 into 0.5 15.834 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.834 * [taylor]: Taking taylor expansion of 1.0 in n 15.834 * [backup-simplify]: Simplify 1.0 into 1.0 15.834 * [taylor]: Taking taylor expansion of k in n 15.834 * [backup-simplify]: Simplify k into k 15.834 * [taylor]: Taking taylor expansion of (log n) in n 15.834 * [taylor]: Taking taylor expansion of n in n 15.834 * [backup-simplify]: Simplify 0 into 0 15.834 * [backup-simplify]: Simplify 1 into 1 15.835 * [backup-simplify]: Simplify (log 1) into 0 15.835 * [backup-simplify]: Simplify (- k) into (- k) 15.835 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.835 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.835 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.835 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.836 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 15.836 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 15.836 * [taylor]: Taking taylor expansion of 0.5 in k 15.836 * [backup-simplify]: Simplify 0.5 into 0.5 15.836 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.836 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.836 * [taylor]: Taking taylor expansion of 1.0 in k 15.836 * [backup-simplify]: Simplify 1.0 into 1.0 15.836 * [taylor]: Taking taylor expansion of k in k 15.836 * [backup-simplify]: Simplify 0 into 0 15.836 * [backup-simplify]: Simplify 1 into 1 15.836 * [taylor]: Taking taylor expansion of (log n) in k 15.836 * [taylor]: Taking taylor expansion of n in k 15.836 * [backup-simplify]: Simplify n into n 15.836 * [backup-simplify]: Simplify (log n) into (log n) 15.836 * [backup-simplify]: Simplify (- 0) into 0 15.837 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.837 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.837 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 15.837 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.837 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 15.839 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.839 * [backup-simplify]: Simplify (- 0) into 0 15.839 * [backup-simplify]: Simplify (+ 0 0) into 0 15.840 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.840 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.841 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.841 * [taylor]: Taking taylor expansion of 0 in k 15.841 * [backup-simplify]: Simplify 0 into 0 15.841 * [backup-simplify]: Simplify 0 into 0 15.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.843 * [backup-simplify]: Simplify (- 1) into -1 15.843 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.843 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.844 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 15.844 * [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))) 15.844 * [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))) 15.847 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.848 * [backup-simplify]: Simplify (- 0) into 0 15.848 * [backup-simplify]: Simplify (+ 0 0) into 0 15.849 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.849 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.850 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.851 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.851 * [taylor]: Taking taylor expansion of 0 in k 15.852 * [backup-simplify]: Simplify 0 into 0 15.852 * [backup-simplify]: Simplify 0 into 0 15.852 * [backup-simplify]: Simplify 0 into 0 15.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.854 * [backup-simplify]: Simplify (- 0) into 0 15.854 * [backup-simplify]: Simplify (+ 0 0) into 0 15.855 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.857 * [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))) 15.857 * [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))) 15.858 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 15.858 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 15.858 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.859 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.859 * [taylor]: Taking taylor expansion of 0.5 in k 15.859 * [backup-simplify]: Simplify 0.5 into 0.5 15.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.859 * [taylor]: Taking taylor expansion of 1.0 in k 15.859 * [backup-simplify]: Simplify 1.0 into 1.0 15.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.859 * [taylor]: Taking taylor expansion of k in k 15.859 * [backup-simplify]: Simplify 0 into 0 15.859 * [backup-simplify]: Simplify 1 into 1 15.859 * [backup-simplify]: Simplify (/ 1 1) into 1 15.859 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.859 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.859 * [taylor]: Taking taylor expansion of n in k 15.859 * [backup-simplify]: Simplify n into n 15.859 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.860 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.860 * [backup-simplify]: Simplify (- 1) into -1 15.860 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.861 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.861 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 15.861 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 15.861 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.861 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.861 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.861 * [taylor]: Taking taylor expansion of 0.5 in n 15.861 * [backup-simplify]: Simplify 0.5 into 0.5 15.861 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.861 * [taylor]: Taking taylor expansion of 1.0 in n 15.861 * [backup-simplify]: Simplify 1.0 into 1.0 15.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.861 * [taylor]: Taking taylor expansion of k in n 15.861 * [backup-simplify]: Simplify k into k 15.861 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.861 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.861 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.861 * [taylor]: Taking taylor expansion of n in n 15.862 * [backup-simplify]: Simplify 0 into 0 15.862 * [backup-simplify]: Simplify 1 into 1 15.862 * [backup-simplify]: Simplify (/ 1 1) into 1 15.862 * [backup-simplify]: Simplify (log 1) into 0 15.862 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.862 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.863 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.863 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 15.863 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 15.863 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.863 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.863 * [taylor]: Taking taylor expansion of 0.5 in n 15.863 * [backup-simplify]: Simplify 0.5 into 0.5 15.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.863 * [taylor]: Taking taylor expansion of 1.0 in n 15.863 * [backup-simplify]: Simplify 1.0 into 1.0 15.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.863 * [taylor]: Taking taylor expansion of k in n 15.863 * [backup-simplify]: Simplify k into k 15.863 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.863 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.864 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.864 * [taylor]: Taking taylor expansion of n in n 15.864 * [backup-simplify]: Simplify 0 into 0 15.864 * [backup-simplify]: Simplify 1 into 1 15.864 * [backup-simplify]: Simplify (/ 1 1) into 1 15.864 * [backup-simplify]: Simplify (log 1) into 0 15.864 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.864 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.864 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.864 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.865 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 15.865 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 15.865 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 15.865 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 15.865 * [taylor]: Taking taylor expansion of -0.5 in k 15.865 * [backup-simplify]: Simplify -0.5 into -0.5 15.865 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 15.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.865 * [taylor]: Taking taylor expansion of 1.0 in k 15.865 * [backup-simplify]: Simplify 1.0 into 1.0 15.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.865 * [taylor]: Taking taylor expansion of k in k 15.865 * [backup-simplify]: Simplify 0 into 0 15.865 * [backup-simplify]: Simplify 1 into 1 15.865 * [backup-simplify]: Simplify (/ 1 1) into 1 15.865 * [taylor]: Taking taylor expansion of (log n) in k 15.865 * [taylor]: Taking taylor expansion of n in k 15.865 * [backup-simplify]: Simplify n into n 15.865 * [backup-simplify]: Simplify (log n) into (log n) 15.865 * [backup-simplify]: Simplify (- 1) into -1 15.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.866 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 15.866 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 15.866 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 15.866 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 15.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.867 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.868 * [backup-simplify]: Simplify (- 0) into 0 15.868 * [backup-simplify]: Simplify (+ 0 0) into 0 15.868 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.868 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.869 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.869 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.869 * [taylor]: Taking taylor expansion of 0 in k 15.869 * [backup-simplify]: Simplify 0 into 0 15.869 * [backup-simplify]: Simplify 0 into 0 15.869 * [backup-simplify]: Simplify 0 into 0 15.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.871 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.872 * [backup-simplify]: Simplify (- 0) into 0 15.872 * [backup-simplify]: Simplify (+ 0 0) into 0 15.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.873 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.874 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.874 * [taylor]: Taking taylor expansion of 0 in k 15.874 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify 0 into 0 15.874 * [backup-simplify]: Simplify 0 into 0 15.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.879 * [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 15.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.880 * [backup-simplify]: Simplify (- 0) into 0 15.880 * [backup-simplify]: Simplify (+ 0 0) into 0 15.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.881 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.882 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.882 * [taylor]: Taking taylor expansion of 0 in k 15.882 * [backup-simplify]: Simplify 0 into 0 15.882 * [backup-simplify]: Simplify 0 into 0 15.883 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 15.883 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 15.883 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.883 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.883 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.883 * [taylor]: Taking taylor expansion of 0.5 in k 15.883 * [backup-simplify]: Simplify 0.5 into 0.5 15.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.883 * [taylor]: Taking taylor expansion of k in k 15.883 * [backup-simplify]: Simplify 0 into 0 15.883 * [backup-simplify]: Simplify 1 into 1 15.883 * [backup-simplify]: Simplify (/ 1 1) into 1 15.883 * [taylor]: Taking taylor expansion of 1.0 in k 15.883 * [backup-simplify]: Simplify 1.0 into 1.0 15.883 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.883 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.883 * [taylor]: Taking taylor expansion of -1 in k 15.883 * [backup-simplify]: Simplify -1 into -1 15.883 * [taylor]: Taking taylor expansion of n in k 15.883 * [backup-simplify]: Simplify n into n 15.883 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.883 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.884 * [backup-simplify]: Simplify (+ 1 0) into 1 15.884 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.884 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 15.884 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 15.884 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.884 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.884 * [taylor]: Taking taylor expansion of 0.5 in n 15.884 * [backup-simplify]: Simplify 0.5 into 0.5 15.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.884 * [taylor]: Taking taylor expansion of k in n 15.884 * [backup-simplify]: Simplify k into k 15.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.884 * [taylor]: Taking taylor expansion of 1.0 in n 15.884 * [backup-simplify]: Simplify 1.0 into 1.0 15.884 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.884 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.884 * [taylor]: Taking taylor expansion of -1 in n 15.884 * [backup-simplify]: Simplify -1 into -1 15.884 * [taylor]: Taking taylor expansion of n in n 15.884 * [backup-simplify]: Simplify 0 into 0 15.884 * [backup-simplify]: Simplify 1 into 1 15.885 * [backup-simplify]: Simplify (/ -1 1) into -1 15.885 * [backup-simplify]: Simplify (log -1) into (log -1) 15.885 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.885 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.886 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.886 * [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)))) 15.886 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.886 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.886 * [taylor]: Taking taylor expansion of 0.5 in n 15.886 * [backup-simplify]: Simplify 0.5 into 0.5 15.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.886 * [taylor]: Taking taylor expansion of k in n 15.887 * [backup-simplify]: Simplify k into k 15.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.887 * [taylor]: Taking taylor expansion of 1.0 in n 15.887 * [backup-simplify]: Simplify 1.0 into 1.0 15.887 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.887 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.887 * [taylor]: Taking taylor expansion of -1 in n 15.887 * [backup-simplify]: Simplify -1 into -1 15.887 * [taylor]: Taking taylor expansion of n in n 15.887 * [backup-simplify]: Simplify 0 into 0 15.887 * [backup-simplify]: Simplify 1 into 1 15.887 * [backup-simplify]: Simplify (/ -1 1) into -1 15.887 * [backup-simplify]: Simplify (log -1) into (log -1) 15.887 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.887 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.888 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.889 * [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)))) 15.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.889 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.889 * [taylor]: Taking taylor expansion of 0.5 in k 15.889 * [backup-simplify]: Simplify 0.5 into 0.5 15.889 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.889 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.889 * [taylor]: Taking taylor expansion of (log -1) in k 15.889 * [taylor]: Taking taylor expansion of -1 in k 15.889 * [backup-simplify]: Simplify -1 into -1 15.889 * [backup-simplify]: Simplify (log -1) into (log -1) 15.889 * [taylor]: Taking taylor expansion of (log n) in k 15.889 * [taylor]: Taking taylor expansion of n in k 15.889 * [backup-simplify]: Simplify n into n 15.889 * [backup-simplify]: Simplify (log n) into (log n) 15.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.889 * [taylor]: Taking taylor expansion of k in k 15.889 * [backup-simplify]: Simplify 0 into 0 15.889 * [backup-simplify]: Simplify 1 into 1 15.889 * [backup-simplify]: Simplify (/ 1 1) into 1 15.889 * [taylor]: Taking taylor expansion of 1.0 in k 15.889 * [backup-simplify]: Simplify 1.0 into 1.0 15.889 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.890 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.890 * [backup-simplify]: Simplify (+ 1 0) into 1 15.890 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.891 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 15.891 * [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)))) 15.891 * [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)))) 15.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.893 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.893 * [backup-simplify]: Simplify (+ 0 0) into 0 15.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.894 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.894 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.895 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.895 * [taylor]: Taking taylor expansion of 0 in k 15.895 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify 0 into 0 15.895 * [backup-simplify]: Simplify 0 into 0 15.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.900 * [backup-simplify]: Simplify (+ 0 0) into 0 15.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.902 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.904 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.904 * [taylor]: Taking taylor expansion of 0 in k 15.904 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify 0 into 0 15.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.907 * [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 15.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.908 * [backup-simplify]: Simplify (+ 0 0) into 0 15.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.910 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.912 * [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 15.912 * [taylor]: Taking taylor expansion of 0 in k 15.912 * [backup-simplify]: Simplify 0 into 0 15.912 * [backup-simplify]: Simplify 0 into 0 15.912 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 15.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 15.913 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 15.913 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 15.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.913 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.913 * [taylor]: Taking taylor expansion of 0.5 in k 15.913 * [backup-simplify]: Simplify 0.5 into 0.5 15.913 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.913 * [taylor]: Taking taylor expansion of 1.0 in k 15.913 * [backup-simplify]: Simplify 1.0 into 1.0 15.913 * [taylor]: Taking taylor expansion of k in k 15.913 * [backup-simplify]: Simplify 0 into 0 15.913 * [backup-simplify]: Simplify 1 into 1 15.913 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.913 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.913 * [taylor]: Taking taylor expansion of 2.0 in k 15.913 * [backup-simplify]: Simplify 2.0 into 2.0 15.913 * [taylor]: Taking taylor expansion of PI in k 15.913 * [backup-simplify]: Simplify PI into PI 15.913 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.914 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.914 * [backup-simplify]: Simplify (- 0) into 0 15.914 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.915 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.916 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.917 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.917 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.917 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.917 * [taylor]: Taking taylor expansion of 0.5 in k 15.917 * [backup-simplify]: Simplify 0.5 into 0.5 15.917 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.917 * [taylor]: Taking taylor expansion of 1.0 in k 15.917 * [backup-simplify]: Simplify 1.0 into 1.0 15.917 * [taylor]: Taking taylor expansion of k in k 15.917 * [backup-simplify]: Simplify 0 into 0 15.917 * [backup-simplify]: Simplify 1 into 1 15.917 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.918 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.918 * [taylor]: Taking taylor expansion of 2.0 in k 15.918 * [backup-simplify]: Simplify 2.0 into 2.0 15.918 * [taylor]: Taking taylor expansion of PI in k 15.918 * [backup-simplify]: Simplify PI into PI 15.918 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.919 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.919 * [backup-simplify]: Simplify (- 0) into 0 15.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.919 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.920 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.922 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.923 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 15.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.925 * [backup-simplify]: Simplify (- 1) into -1 15.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.926 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 15.928 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 15.936 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 15.940 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 15.941 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.945 * [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 15.945 * [backup-simplify]: Simplify (- 0) into 0 15.946 * [backup-simplify]: Simplify (+ 0 0) into 0 15.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.948 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 15.963 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 15.972 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 15.985 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 15.987 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 15.987 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 15.987 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 15.987 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 15.987 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.987 * [taylor]: Taking taylor expansion of 0.5 in k 15.987 * [backup-simplify]: Simplify 0.5 into 0.5 15.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.987 * [taylor]: Taking taylor expansion of 1.0 in k 15.987 * [backup-simplify]: Simplify 1.0 into 1.0 15.987 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.987 * [taylor]: Taking taylor expansion of k in k 15.987 * [backup-simplify]: Simplify 0 into 0 15.987 * [backup-simplify]: Simplify 1 into 1 15.988 * [backup-simplify]: Simplify (/ 1 1) into 1 15.988 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.988 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.988 * [taylor]: Taking taylor expansion of 2.0 in k 15.988 * [backup-simplify]: Simplify 2.0 into 2.0 15.988 * [taylor]: Taking taylor expansion of PI in k 15.988 * [backup-simplify]: Simplify PI into PI 15.988 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.989 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.989 * [backup-simplify]: Simplify (- 1) into -1 15.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.989 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.990 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 15.991 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 15.991 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.991 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 15.991 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 15.991 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.991 * [taylor]: Taking taylor expansion of 0.5 in k 15.991 * [backup-simplify]: Simplify 0.5 into 0.5 15.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.991 * [taylor]: Taking taylor expansion of 1.0 in k 15.991 * [backup-simplify]: Simplify 1.0 into 1.0 15.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.991 * [taylor]: Taking taylor expansion of k in k 15.991 * [backup-simplify]: Simplify 0 into 0 15.991 * [backup-simplify]: Simplify 1 into 1 15.992 * [backup-simplify]: Simplify (/ 1 1) into 1 15.992 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.992 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.992 * [taylor]: Taking taylor expansion of 2.0 in k 15.992 * [backup-simplify]: Simplify 2.0 into 2.0 15.992 * [taylor]: Taking taylor expansion of PI in k 15.992 * [backup-simplify]: Simplify PI into PI 15.992 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.993 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.993 * [backup-simplify]: Simplify (- 1) into -1 15.993 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.993 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.994 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 15.995 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 15.996 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 0 into 0 15.996 * [backup-simplify]: Simplify 0 into 0 15.997 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 15.998 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 15.998 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 15.998 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.998 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 15.998 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 15.998 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.998 * [taylor]: Taking taylor expansion of 0.5 in k 15.998 * [backup-simplify]: Simplify 0.5 into 0.5 15.998 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.998 * [taylor]: Taking taylor expansion of k in k 15.998 * [backup-simplify]: Simplify 0 into 0 15.998 * [backup-simplify]: Simplify 1 into 1 15.998 * [backup-simplify]: Simplify (/ 1 1) into 1 15.998 * [taylor]: Taking taylor expansion of 1.0 in k 15.998 * [backup-simplify]: Simplify 1.0 into 1.0 15.998 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.998 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.998 * [taylor]: Taking taylor expansion of 2.0 in k 15.998 * [backup-simplify]: Simplify 2.0 into 2.0 15.998 * [taylor]: Taking taylor expansion of PI in k 15.998 * [backup-simplify]: Simplify PI into PI 15.999 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.999 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.000 * [backup-simplify]: Simplify (+ 1 0) into 1 16.000 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.001 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.002 * [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)))) 16.002 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.002 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.002 * [taylor]: Taking taylor expansion of 0.5 in k 16.002 * [backup-simplify]: Simplify 0.5 into 0.5 16.002 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.002 * [taylor]: Taking taylor expansion of k in k 16.002 * [backup-simplify]: Simplify 0 into 0 16.002 * [backup-simplify]: Simplify 1 into 1 16.002 * [backup-simplify]: Simplify (/ 1 1) into 1 16.002 * [taylor]: Taking taylor expansion of 1.0 in k 16.002 * [backup-simplify]: Simplify 1.0 into 1.0 16.002 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.002 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.002 * [taylor]: Taking taylor expansion of 2.0 in k 16.002 * [backup-simplify]: Simplify 2.0 into 2.0 16.003 * [taylor]: Taking taylor expansion of PI in k 16.003 * [backup-simplify]: Simplify PI into PI 16.003 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.004 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.004 * [backup-simplify]: Simplify (+ 1 0) into 1 16.004 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.005 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.006 * [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)))) 16.007 * [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)))) 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 0 into 0 16.007 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 16.008 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 16.008 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 16.008 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 16.008 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.008 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.008 * [taylor]: Taking taylor expansion of 0.5 in k 16.008 * [backup-simplify]: Simplify 0.5 into 0.5 16.008 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.008 * [taylor]: Taking taylor expansion of 1.0 in k 16.008 * [backup-simplify]: Simplify 1.0 into 1.0 16.008 * [taylor]: Taking taylor expansion of k in k 16.008 * [backup-simplify]: Simplify 0 into 0 16.008 * [backup-simplify]: Simplify 1 into 1 16.008 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.008 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.008 * [taylor]: Taking taylor expansion of 2.0 in k 16.008 * [backup-simplify]: Simplify 2.0 into 2.0 16.008 * [taylor]: Taking taylor expansion of PI in k 16.008 * [backup-simplify]: Simplify PI into PI 16.009 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.009 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.010 * [backup-simplify]: Simplify (- 0) into 0 16.010 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.010 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.011 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.013 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.013 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.013 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.013 * [taylor]: Taking taylor expansion of 0.5 in k 16.013 * [backup-simplify]: Simplify 0.5 into 0.5 16.013 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.013 * [taylor]: Taking taylor expansion of 1.0 in k 16.013 * [backup-simplify]: Simplify 1.0 into 1.0 16.013 * [taylor]: Taking taylor expansion of k in k 16.013 * [backup-simplify]: Simplify 0 into 0 16.013 * [backup-simplify]: Simplify 1 into 1 16.013 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.013 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.013 * [taylor]: Taking taylor expansion of 2.0 in k 16.013 * [backup-simplify]: Simplify 2.0 into 2.0 16.013 * [taylor]: Taking taylor expansion of PI in k 16.013 * [backup-simplify]: Simplify PI into PI 16.013 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.014 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.014 * [backup-simplify]: Simplify (- 0) into 0 16.015 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.015 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.016 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.019 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.021 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 16.021 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.024 * [backup-simplify]: Simplify (- 1) into -1 16.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.026 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 16.037 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 16.042 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 16.042 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.045 * [backup-simplify]: Simplify (- 0) into 0 16.045 * [backup-simplify]: Simplify (+ 0 0) into 0 16.046 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 16.055 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 16.060 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 16.075 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 16.076 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 16.076 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 16.076 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.076 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.076 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.076 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.076 * [taylor]: Taking taylor expansion of 0.5 in k 16.076 * [backup-simplify]: Simplify 0.5 into 0.5 16.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.076 * [taylor]: Taking taylor expansion of 1.0 in k 16.076 * [backup-simplify]: Simplify 1.0 into 1.0 16.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.076 * [taylor]: Taking taylor expansion of k in k 16.076 * [backup-simplify]: Simplify 0 into 0 16.076 * [backup-simplify]: Simplify 1 into 1 16.076 * [backup-simplify]: Simplify (/ 1 1) into 1 16.076 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.076 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.076 * [taylor]: Taking taylor expansion of 2.0 in k 16.076 * [backup-simplify]: Simplify 2.0 into 2.0 16.076 * [taylor]: Taking taylor expansion of PI in k 16.076 * [backup-simplify]: Simplify PI into PI 16.077 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.078 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.078 * [backup-simplify]: Simplify (- 1) into -1 16.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.079 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.081 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.082 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 16.082 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.082 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.082 * [taylor]: Taking taylor expansion of 0.5 in k 16.082 * [backup-simplify]: Simplify 0.5 into 0.5 16.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.082 * [taylor]: Taking taylor expansion of 1.0 in k 16.082 * [backup-simplify]: Simplify 1.0 into 1.0 16.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.082 * [taylor]: Taking taylor expansion of k in k 16.082 * [backup-simplify]: Simplify 0 into 0 16.082 * [backup-simplify]: Simplify 1 into 1 16.083 * [backup-simplify]: Simplify (/ 1 1) into 1 16.083 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.083 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.083 * [taylor]: Taking taylor expansion of 2.0 in k 16.083 * [backup-simplify]: Simplify 2.0 into 2.0 16.083 * [taylor]: Taking taylor expansion of PI in k 16.083 * [backup-simplify]: Simplify PI into PI 16.083 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.084 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.085 * [backup-simplify]: Simplify (- 1) into -1 16.085 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.086 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.090 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.091 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 16.093 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 0 into 0 16.093 * [backup-simplify]: Simplify 0 into 0 16.094 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 16.095 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 16.095 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 16.095 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.095 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.095 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.095 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.095 * [taylor]: Taking taylor expansion of 0.5 in k 16.095 * [backup-simplify]: Simplify 0.5 into 0.5 16.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.095 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.095 * [taylor]: Taking taylor expansion of k in k 16.095 * [backup-simplify]: Simplify 0 into 0 16.095 * [backup-simplify]: Simplify 1 into 1 16.096 * [backup-simplify]: Simplify (/ 1 1) into 1 16.096 * [taylor]: Taking taylor expansion of 1.0 in k 16.096 * [backup-simplify]: Simplify 1.0 into 1.0 16.096 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.096 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.096 * [taylor]: Taking taylor expansion of 2.0 in k 16.096 * [backup-simplify]: Simplify 2.0 into 2.0 16.096 * [taylor]: Taking taylor expansion of PI in k 16.096 * [backup-simplify]: Simplify PI into PI 16.097 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.098 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.098 * [backup-simplify]: Simplify (+ 1 0) into 1 16.098 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.100 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.101 * [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)))) 16.102 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.102 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.102 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.102 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.102 * [taylor]: Taking taylor expansion of 0.5 in k 16.102 * [backup-simplify]: Simplify 0.5 into 0.5 16.102 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.102 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.102 * [taylor]: Taking taylor expansion of k in k 16.102 * [backup-simplify]: Simplify 0 into 0 16.102 * [backup-simplify]: Simplify 1 into 1 16.102 * [backup-simplify]: Simplify (/ 1 1) into 1 16.102 * [taylor]: Taking taylor expansion of 1.0 in k 16.102 * [backup-simplify]: Simplify 1.0 into 1.0 16.102 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.102 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.102 * [taylor]: Taking taylor expansion of 2.0 in k 16.102 * [backup-simplify]: Simplify 2.0 into 2.0 16.102 * [taylor]: Taking taylor expansion of PI in k 16.102 * [backup-simplify]: Simplify PI into PI 16.103 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.104 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.104 * [backup-simplify]: Simplify (+ 1 0) into 1 16.105 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.107 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.108 * [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)))) 16.109 * [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)))) 16.109 * [backup-simplify]: Simplify 0 into 0 16.109 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify 0 into 0 16.110 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 16.111 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 16.113 * [backup-simplify]: Simplify (* (* (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))))) into (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) 16.113 * [approximate]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in (k) around 0 16.113 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in k 16.113 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 16.113 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.113 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.113 * [taylor]: Taking taylor expansion of 1.0 in k 16.113 * [backup-simplify]: Simplify 1.0 into 1.0 16.113 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.114 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.114 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.114 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.114 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.114 * [taylor]: Taking taylor expansion of 0.5 in k 16.114 * [backup-simplify]: Simplify 0.5 into 0.5 16.114 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.114 * [taylor]: Taking taylor expansion of 1.0 in k 16.114 * [backup-simplify]: Simplify 1.0 into 1.0 16.114 * [taylor]: Taking taylor expansion of k in k 16.114 * [backup-simplify]: Simplify 0 into 0 16.114 * [backup-simplify]: Simplify 1 into 1 16.114 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.114 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.114 * [taylor]: Taking taylor expansion of 2.0 in k 16.114 * [backup-simplify]: Simplify 2.0 into 2.0 16.114 * [taylor]: Taking taylor expansion of PI in k 16.115 * [backup-simplify]: Simplify PI into PI 16.115 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.116 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.116 * [backup-simplify]: Simplify (- 0) into 0 16.117 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.117 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.119 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.122 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.122 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.122 * [taylor]: Taking taylor expansion of k in k 16.122 * [backup-simplify]: Simplify 0 into 0 16.122 * [backup-simplify]: Simplify 1 into 1 16.122 * [backup-simplify]: Simplify (/ 1 1) into 1 16.122 * [backup-simplify]: Simplify (sqrt 0) into 0 16.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.124 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in k 16.124 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 16.124 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.124 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.124 * [taylor]: Taking taylor expansion of 1.0 in k 16.124 * [backup-simplify]: Simplify 1.0 into 1.0 16.124 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.125 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.125 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.125 * [taylor]: Taking taylor expansion of 0.5 in k 16.125 * [backup-simplify]: Simplify 0.5 into 0.5 16.125 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.125 * [taylor]: Taking taylor expansion of 1.0 in k 16.125 * [backup-simplify]: Simplify 1.0 into 1.0 16.125 * [taylor]: Taking taylor expansion of k in k 16.125 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify 1 into 1 16.125 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.125 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.126 * [taylor]: Taking taylor expansion of 2.0 in k 16.126 * [backup-simplify]: Simplify 2.0 into 2.0 16.126 * [taylor]: Taking taylor expansion of PI in k 16.126 * [backup-simplify]: Simplify PI into PI 16.126 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.127 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.127 * [backup-simplify]: Simplify (- 0) into 0 16.128 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.128 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.130 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.133 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.133 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.133 * [taylor]: Taking taylor expansion of k in k 16.133 * [backup-simplify]: Simplify 0 into 0 16.133 * [backup-simplify]: Simplify 1 into 1 16.133 * [backup-simplify]: Simplify (/ 1 1) into 1 16.133 * [backup-simplify]: Simplify (sqrt 0) into 0 16.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.136 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 16.139 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) 0.5)) into (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) 16.141 * [backup-simplify]: Simplify (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) 0) into 0 16.141 * [backup-simplify]: Simplify 0 into 0 16.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.144 * [backup-simplify]: Simplify (- 1) into -1 16.145 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.147 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 16.163 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 16.164 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 16.179 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))) (* 0 (pow (* 2.0 PI) 0.5))) into (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) 16.194 * [backup-simplify]: Simplify (+ (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) +nan.0) (* (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) 0)) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2)))) 16.204 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)))) 16.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.208 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.213 * [backup-simplify]: Simplify (- 0) into 0 16.214 * [backup-simplify]: Simplify (+ 0 0) into 0 16.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.216 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 16.232 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 16.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 16.234 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 16.257 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))) (+ (* 0 (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))) (* 0 (pow (* 2.0 PI) 0.5)))) into (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) 16.296 * [backup-simplify]: Simplify (+ (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) +nan.0) (+ (* (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) 16.326 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) 16.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.332 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.339 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 16.339 * [backup-simplify]: Simplify (- 0) into 0 16.339 * [backup-simplify]: Simplify (+ 0 0) into 0 16.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 16.343 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 16.354 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 16.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 16.356 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 16.372 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3)))) (+ (* 0 (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2)))) (+ (* 0 (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI))))) (* 0 (pow (* 2.0 PI) 0.5))))) into (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 3))))) 16.423 * [backup-simplify]: Simplify (+ (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)) +nan.0) (+ (* (- (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) +nan.0) (* (- (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 3))))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) 16.468 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) 16.566 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow (log (* 2.0 PI)) 2)))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (log (* 2.0 PI)))))))) k) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (sqrt 1.0) 2)))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (log (* 2.0 PI)) k)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (pow (log (* 2.0 PI)) 2) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (sqrt 1.0) 2) (* (log (* 2.0 PI)) (pow k 2))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (sqrt 1.0) 2) k)))))))))))))) 16.568 * [backup-simplify]: Simplify (* (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)))) (* (sqrt (/ 1.0 (sqrt (/ 1 k)))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))))) into (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) 16.568 * [approximate]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in (k) around 0 16.568 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in k 16.568 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.568 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.568 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.568 * [taylor]: Taking taylor expansion of 1.0 in k 16.569 * [backup-simplify]: Simplify 1.0 into 1.0 16.569 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.570 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.570 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.570 * [taylor]: Taking taylor expansion of 0.5 in k 16.570 * [backup-simplify]: Simplify 0.5 into 0.5 16.570 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.570 * [taylor]: Taking taylor expansion of 1.0 in k 16.570 * [backup-simplify]: Simplify 1.0 into 1.0 16.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.570 * [taylor]: Taking taylor expansion of k in k 16.570 * [backup-simplify]: Simplify 0 into 0 16.570 * [backup-simplify]: Simplify 1 into 1 16.570 * [backup-simplify]: Simplify (/ 1 1) into 1 16.570 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.570 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.570 * [taylor]: Taking taylor expansion of 2.0 in k 16.570 * [backup-simplify]: Simplify 2.0 into 2.0 16.570 * [taylor]: Taking taylor expansion of PI in k 16.571 * [backup-simplify]: Simplify PI into PI 16.571 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.572 * [backup-simplify]: Simplify (- 1) into -1 16.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.573 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.575 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.576 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 16.576 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.576 * [taylor]: Taking taylor expansion of k in k 16.576 * [backup-simplify]: Simplify 0 into 0 16.576 * [backup-simplify]: Simplify 1 into 1 16.577 * [backup-simplify]: Simplify (sqrt 0) into 0 16.578 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.578 * [taylor]: Taking taylor expansion of (* (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in k 16.578 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.578 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.578 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.578 * [taylor]: Taking taylor expansion of 1.0 in k 16.578 * [backup-simplify]: Simplify 1.0 into 1.0 16.579 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.580 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.580 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.580 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.580 * [taylor]: Taking taylor expansion of 0.5 in k 16.580 * [backup-simplify]: Simplify 0.5 into 0.5 16.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.580 * [taylor]: Taking taylor expansion of 1.0 in k 16.580 * [backup-simplify]: Simplify 1.0 into 1.0 16.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.580 * [taylor]: Taking taylor expansion of k in k 16.580 * [backup-simplify]: Simplify 0 into 0 16.580 * [backup-simplify]: Simplify 1 into 1 16.580 * [backup-simplify]: Simplify (/ 1 1) into 1 16.580 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.580 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.580 * [taylor]: Taking taylor expansion of 2.0 in k 16.580 * [backup-simplify]: Simplify 2.0 into 2.0 16.580 * [taylor]: Taking taylor expansion of PI in k 16.580 * [backup-simplify]: Simplify PI into PI 16.581 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.582 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.582 * [backup-simplify]: Simplify (- 1) into -1 16.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.583 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.585 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.586 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 16.586 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.586 * [taylor]: Taking taylor expansion of k in k 16.586 * [backup-simplify]: Simplify 0 into 0 16.586 * [backup-simplify]: Simplify 1 into 1 16.587 * [backup-simplify]: Simplify (sqrt 0) into 0 16.588 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.589 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 16.591 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) into (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) 16.593 * [backup-simplify]: Simplify (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) 0) into 0 16.593 * [backup-simplify]: Simplify 0 into 0 16.594 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 16.596 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into 0 16.598 * [backup-simplify]: Simplify (+ (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 16.601 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 16.604 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 16.606 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 16.609 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into 0 16.611 * [backup-simplify]: Simplify (+ (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 16.614 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 16.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 16.620 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 16.623 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))))) into 0 16.626 * [backup-simplify]: Simplify (+ (* (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 16.628 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) 16.636 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 2)))))))) 16.638 * [backup-simplify]: Simplify (* (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)))) (* (sqrt (/ 1.0 (sqrt (/ 1 (- k))))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))))) into (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) 16.638 * [approximate]: Taking taylor expansion of (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (k) around 0 16.638 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 16.638 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 16.638 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.638 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.638 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.638 * [taylor]: Taking taylor expansion of 0.5 in k 16.638 * [backup-simplify]: Simplify 0.5 into 0.5 16.638 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.638 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.638 * [taylor]: Taking taylor expansion of k in k 16.638 * [backup-simplify]: Simplify 0 into 0 16.638 * [backup-simplify]: Simplify 1 into 1 16.638 * [backup-simplify]: Simplify (/ 1 1) into 1 16.638 * [taylor]: Taking taylor expansion of 1.0 in k 16.638 * [backup-simplify]: Simplify 1.0 into 1.0 16.638 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.638 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.638 * [taylor]: Taking taylor expansion of 2.0 in k 16.639 * [backup-simplify]: Simplify 2.0 into 2.0 16.639 * [taylor]: Taking taylor expansion of PI in k 16.639 * [backup-simplify]: Simplify PI into PI 16.639 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.640 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.640 * [backup-simplify]: Simplify (+ 1 0) into 1 16.641 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.645 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.647 * [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)))) 16.647 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.647 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.647 * [taylor]: Taking taylor expansion of 1.0 in k 16.647 * [backup-simplify]: Simplify 1.0 into 1.0 16.647 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.648 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.648 * [taylor]: Taking taylor expansion of -1 in k 16.648 * [backup-simplify]: Simplify -1 into -1 16.648 * [taylor]: Taking taylor expansion of k in k 16.648 * [backup-simplify]: Simplify 0 into 0 16.648 * [backup-simplify]: Simplify 1 into 1 16.648 * [backup-simplify]: Simplify (/ -1 1) into -1 16.649 * [backup-simplify]: Simplify (sqrt 0) into 0 16.650 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.651 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 16.654 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (pow (sqrt 1.0) 2)) into (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 16.656 * [backup-simplify]: Simplify (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 16.656 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 16.656 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 16.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.656 * [taylor]: Taking taylor expansion of 0.5 in k 16.656 * [backup-simplify]: Simplify 0.5 into 0.5 16.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.656 * [taylor]: Taking taylor expansion of k in k 16.656 * [backup-simplify]: Simplify 0 into 0 16.656 * [backup-simplify]: Simplify 1 into 1 16.656 * [backup-simplify]: Simplify (/ 1 1) into 1 16.656 * [taylor]: Taking taylor expansion of 1.0 in k 16.656 * [backup-simplify]: Simplify 1.0 into 1.0 16.657 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.657 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.657 * [taylor]: Taking taylor expansion of 2.0 in k 16.657 * [backup-simplify]: Simplify 2.0 into 2.0 16.657 * [taylor]: Taking taylor expansion of PI in k 16.657 * [backup-simplify]: Simplify PI into PI 16.657 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.658 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.659 * [backup-simplify]: Simplify (+ 1 0) into 1 16.659 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.661 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.662 * [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)))) 16.662 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 16.662 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 16.662 * [taylor]: Taking taylor expansion of 1.0 in k 16.662 * [backup-simplify]: Simplify 1.0 into 1.0 16.663 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 16.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 16.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.663 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.663 * [taylor]: Taking taylor expansion of -1 in k 16.663 * [backup-simplify]: Simplify -1 into -1 16.664 * [taylor]: Taking taylor expansion of k in k 16.664 * [backup-simplify]: Simplify 0 into 0 16.664 * [backup-simplify]: Simplify 1 into 1 16.664 * [backup-simplify]: Simplify (/ -1 1) into -1 16.664 * [backup-simplify]: Simplify (sqrt 0) into 0 16.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.667 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 16.669 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (pow (sqrt 1.0) 2)) into (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 16.671 * [backup-simplify]: Simplify (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 16.673 * [backup-simplify]: Simplify (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 16.674 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 16.676 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (pow (sqrt 1.0) 2))) into 0 16.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.680 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.683 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.685 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 16.687 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 16.689 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (pow (sqrt 1.0) 2)))) into 0 16.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.699 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.701 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.705 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) k)) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k))))) (pow k 2)))))))) 16.705 * * * [progress]: simplifying candidates 16.708 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 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 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18.058 * * [simplify]: iteration complete: 5001 enodes 18.058 * * [simplify]: Extracting #0: cost 90 inf + 0 18.059 * * [simplify]: Extracting #1: cost 621 inf + 3 18.063 * * [simplify]: Extracting #2: cost 1222 inf + 988 18.073 * * [simplify]: Extracting #3: cost 1531 inf + 49532 18.109 * * [simplify]: Extracting #4: cost 1053 inf + 254421 18.191 * * [simplify]: Extracting #5: cost 431 inf + 523092 18.300 * * [simplify]: Extracting #6: cost 198 inf + 639174 18.405 * * [simplify]: Extracting #7: cost 49 inf + 748010 18.562 * * [simplify]: Extracting #8: cost 0 inf + 786217 18.725 * * [simplify]: Extracting #9: cost 0 inf + 786177 18.902 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log n)) (* (/ (- 1.0 k) 2.0) (log n)) (/ (- 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 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow n (* (/ (cbrt (- 1.0 k)) (sqrt 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2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI 2.0) (/ 1.0 2.0)) (pow (* PI 2.0) (/ k 2.0)) (pow (* PI 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI 2.0) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI 2.0) (sqrt (- 1.0 k))) (pow (* PI 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ 1 (sqrt 2.0))) (* PI 2.0) (pow (* PI 2.0) (/ (/ (+ (sqrt k) (sqrt 1.0)) (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* PI 2.0) (+ (sqrt k) (sqrt 1.0))) (pow (* PI 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (exp (* (- 1.0 k) (log (* PI 2.0)))) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (exp (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI 2.0) (/ 1.0 2.0)) (pow (* PI 2.0) (/ k 2.0)) (pow (* PI 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI 2.0) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI 2.0) (sqrt (- 1.0 k))) (pow (* PI 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ 1 (sqrt 2.0))) (* PI 2.0) (pow (* PI 2.0) (/ (/ (+ (sqrt k) (sqrt 1.0)) (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* PI 2.0) (+ (sqrt k) (sqrt 1.0))) (pow (* PI 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (exp (* (- 1.0 k) (log (* PI 2.0)))) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (exp (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) 1 2 2 2 2 (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) 2 2 (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0)))) (exp (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (cbrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (cbrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)))) (cbrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (sqrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (sqrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* 1.0 (pow (* PI 2.0) (/ 1.0 2.0))) (* (pow (* PI 2.0) (/ k 2.0)) (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* PI 2.0) (/ 1.0 2.0)) (sqrt 1.0))) (* (sqrt (sqrt k)) (pow (* PI 2.0) (/ k 2.0))) (* (* (sqrt (pow (* PI 2.0) (/ 1.0 2.0))) 1.0) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* PI 2.0) (/ k 2.0))) (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* PI 2.0) (/ 1.0 2.0)) (sqrt 1.0))) (* (sqrt (sqrt k)) (pow (* PI 2.0) (/ k 2.0))) (/ (* 1.0 (pow (* PI 2.0) (/ 1.0 2.0))) (sqrt k)) (pow (* PI 2.0) (/ k 2.0)) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ 1.0 2.0)))) (sqrt 1.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt k)) (sqrt (pow (* PI 2.0) (/ k 2.0)))) (* (* (sqrt (pow (* PI 2.0) (/ 1.0 2.0))) 1.0) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* PI 2.0) (/ k 2.0))) (sqrt k)) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ 1.0 2.0)))) (sqrt 1.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt k)) (sqrt (pow (* PI 2.0) (/ k 2.0)))) (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt k) (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1 2 2 2 2 (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ 1.0 2.0)))) (sqrt 1.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* PI 2.0) (/ 1.0 2.0))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ 1.0 2.0)))) (sqrt 1.0)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* PI 2.0) (/ 1.0 2.0))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (- (+ (pow n 0.5) (* (* 0.125 (* (* (log n) k) (* (log n) k))) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* (- (log n)) (* (- 1.0 k) -0.5))) (exp (* (+ 0 (log n)) (* (- 1.0 k) 0.5))) (- (+ (exp (* 0.5 (log (* PI 2.0)))) (* (* 0.125 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* (log (* PI 2.0)) k) (* (log (* PI 2.0)) k)))) (* (* 0.5 (* (log (* PI 2.0)) k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))) (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))) (- (+ (exp (* 0.5 (log (* PI 2.0)))) (* (* 0.125 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* (log (* PI 2.0)) k) (* (log (* PI 2.0)) k)))) (* (* 0.5 (* (log (* PI 2.0)) k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))) (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))) (- (- (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 1.0) (* (* k k) +nan.0)) (+ (- (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 1.0) (* (* (log (* PI 2.0)) k) +nan.0)) (* (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 1.0)) (* (* (log (* PI 2.0)) k) (* (log (* PI 2.0)) k)))) (- (* (* 1.0 +nan.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* +nan.0 (- (* (* (log (* PI 2.0)) (* k k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 1.0)) (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 1.0) k))))))) (- (- (* (/ +nan.0 k) (* (/ (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))) k) (/ 1.0 k))) (* +nan.0 (- (/ 1.0 (/ k (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))))) (* (/ (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0))))) k) (/ 1.0 k)))))) (- (+ (- (* (* 1.0 (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0)))))) (- +nan.0)) (/ (* (* 1.0 (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0)))))) (- +nan.0)) (* k k))) (* +nan.0 (/ 1.0 (/ k (exp (* (- 1.0 k) (* 0.5 (log (* PI 2.0)))))))))) 18.938 * * * [progress]: adding candidates to table 20.221 * [progress]: [Phase 3 of 3] Extracting. 20.221 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 20.225 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 20.225 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 20.341 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 20.394 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 20.489 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 20.590 * * * [regime]: Found split indices: #