49.940 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.158 * * * [progress]: [2/2] Setting up program. 0.164 * [progress]: [Phase 2 of 3] Improving. 0.164 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.164 * * [simplify]: Extracting # 4 : cost 0 0.164 * * [simplify]: Extracting # 5 : cost 0 0.165 * * [simplify]: Extracting # 6 : cost 0 0.165 * * [simplify]: Extracting # 7 : cost 0 0.165 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.171 * * [simplify]: Extracting # 0 : cost 0 0.171 * * [simplify]: Extracting # 1 : cost 0 0.171 * * [simplify]: Extracting # 2 : cost 0 0.171 * * [simplify]: Extracting # 3 : cost 0 0.171 * * [simplify]: Extracting # 4 : cost 0 0.171 * * [simplify]: Extracting # 5 : cost 0 0.172 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.184 * * [simplify]: Extracting # 0 : cost 0 0.184 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.185 * * [simplify]: Extracting # 3 : cost 0 0.185 * * [simplify]: Extracting # 4 : cost 0 0.185 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.198 * * [simplify]: Extracting # 1 : cost 0 0.198 * * [simplify]: Extracting # 2 : cost 0 0.198 * * [simplify]: Extracting # 3 : cost 0 0.198 * * [simplify]: Extracting # 4 : cost 0 0.198 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.262 * * [simplify]: Extracting # 0 : cost 0 0.263 * * [simplify]: Extracting # 1 : cost 0 0.263 * * [simplify]: Extracting # 2 : cost 0 0.264 * * [simplify]: Extracting # 3 : cost 0 0.264 * * [simplify]: Extracting # 4 : cost 0 0.265 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.537 * * [simplify]: Extracting # 0 : cost 0 0.539 * * [simplify]: Extracting # 1 : cost 0 0.540 * * [simplify]: Extracting # 2 : cost 0 0.542 * * [simplify]: Extracting # 3 : cost 0 0.543 * * [simplify]: Extracting # 4 : cost 0 0.545 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.141 * * [simplify]: Extracting # 0 : cost 0 2.149 * * [simplify]: Extracting # 1 : cost 0 2.155 * * [simplify]: Extracting # 2 : cost 0 2.160 * * [simplify]: Extracting # 3 : cost 0 2.171 * * [simplify]: Extracting # 4 : cost 0 2.177 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.851 * * [simplify]: Extracting # 0 : cost 0 3.861 * * [simplify]: Extracting # 1 : cost 0 3.871 * * [simplify]: Extracting # 2 : cost 0 3.877 * * [simplify]: Extracting # 3 : cost 0 3.882 * * [simplify]: Extracting # 4 : cost 0 3.886 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.886 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.887 * * [progress]: iteration 1 / 4 3.887 * * * [progress]: picking best candidate 3.889 * * * * [pick]: Picked # 3.889 * * * [progress]: localizing error 3.915 * * * [progress]: generating rewritten candidates 3.915 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.979 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.989 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.058 * * * [progress]: generating series expansions 4.058 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.059 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.059 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.059 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.060 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.060 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.060 * [taylor]: Taking taylor expansion of 0.5 in k 4.060 * [backup-simplify]: Simplify 0.5 into 0.5 4.060 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.060 * [taylor]: Taking taylor expansion of 1.0 in k 4.060 * [backup-simplify]: Simplify 1.0 into 1.0 4.060 * [taylor]: Taking taylor expansion of k in k 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 1 into 1 4.060 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.060 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.060 * [taylor]: Taking taylor expansion of 2.0 in k 4.060 * [backup-simplify]: Simplify 2.0 into 2.0 4.060 * [taylor]: Taking taylor expansion of (* n PI) in k 4.060 * [taylor]: Taking taylor expansion of n in k 4.060 * [backup-simplify]: Simplify n into n 4.060 * [taylor]: Taking taylor expansion of PI in k 4.060 * [backup-simplify]: Simplify PI into PI 4.060 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.060 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.060 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.062 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.062 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.062 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.062 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.062 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.062 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.062 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.062 * [taylor]: Taking taylor expansion of 0.5 in n 4.062 * [backup-simplify]: Simplify 0.5 into 0.5 4.062 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.062 * [taylor]: Taking taylor expansion of 1.0 in n 4.062 * [backup-simplify]: Simplify 1.0 into 1.0 4.062 * [taylor]: Taking taylor expansion of k in n 4.062 * [backup-simplify]: Simplify k into k 4.062 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.062 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.062 * [taylor]: Taking taylor expansion of 2.0 in n 4.062 * [backup-simplify]: Simplify 2.0 into 2.0 4.062 * [taylor]: Taking taylor expansion of (* n PI) in n 4.062 * [taylor]: Taking taylor expansion of n in n 4.062 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify 1 into 1 4.062 * [taylor]: Taking taylor expansion of PI in n 4.062 * [backup-simplify]: Simplify PI into PI 4.063 * [backup-simplify]: Simplify (* 0 PI) into 0 4.063 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.065 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.066 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.066 * [backup-simplify]: Simplify (- k) into (- k) 4.066 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.066 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.067 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.068 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.068 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.068 * [taylor]: Taking taylor expansion of 0.5 in n 4.068 * [backup-simplify]: Simplify 0.5 into 0.5 4.068 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.068 * [taylor]: Taking taylor expansion of 1.0 in n 4.068 * [backup-simplify]: Simplify 1.0 into 1.0 4.068 * [taylor]: Taking taylor expansion of k in n 4.068 * [backup-simplify]: Simplify k into k 4.068 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.068 * [taylor]: Taking taylor expansion of 2.0 in n 4.068 * [backup-simplify]: Simplify 2.0 into 2.0 4.068 * [taylor]: Taking taylor expansion of (* n PI) in n 4.068 * [taylor]: Taking taylor expansion of n in n 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [taylor]: Taking taylor expansion of PI in n 4.068 * [backup-simplify]: Simplify PI into PI 4.069 * [backup-simplify]: Simplify (* 0 PI) into 0 4.069 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.071 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.071 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.071 * [backup-simplify]: Simplify (- k) into (- k) 4.071 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.071 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.072 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.073 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.074 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.074 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.074 * [taylor]: Taking taylor expansion of 0.5 in k 4.074 * [backup-simplify]: Simplify 0.5 into 0.5 4.074 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.074 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.074 * [taylor]: Taking taylor expansion of 1.0 in k 4.074 * [backup-simplify]: Simplify 1.0 into 1.0 4.074 * [taylor]: Taking taylor expansion of k in k 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.074 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.074 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.074 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.074 * [taylor]: Taking taylor expansion of 2.0 in k 4.074 * [backup-simplify]: Simplify 2.0 into 2.0 4.074 * [taylor]: Taking taylor expansion of PI in k 4.074 * [backup-simplify]: Simplify PI into PI 4.075 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.075 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.075 * [taylor]: Taking taylor expansion of (log n) in k 4.075 * [taylor]: Taking taylor expansion of n in k 4.075 * [backup-simplify]: Simplify n into n 4.075 * [backup-simplify]: Simplify (log n) into (log n) 4.075 * [backup-simplify]: Simplify (- 0) into 0 4.076 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.076 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.077 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.078 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.078 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.079 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.083 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.084 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.085 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.085 * [taylor]: Taking taylor expansion of 0 in k 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (- 1) into -1 4.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.089 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.090 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 4.092 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.101 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 4.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.104 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.108 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.109 * [backup-simplify]: Simplify (- 0) into 0 4.109 * [backup-simplify]: Simplify (+ 0 0) into 0 4.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.113 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.116 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.116 * [taylor]: Taking taylor expansion of 0 in k 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.123 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.134 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.139 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.150 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.150 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 4.150 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.151 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.151 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.151 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.151 * [taylor]: Taking taylor expansion of 0.5 in k 4.151 * [backup-simplify]: Simplify 0.5 into 0.5 4.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.151 * [taylor]: Taking taylor expansion of 1.0 in k 4.151 * [backup-simplify]: Simplify 1.0 into 1.0 4.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.151 * [taylor]: Taking taylor expansion of k in k 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.151 * [taylor]: Taking taylor expansion of 2.0 in k 4.151 * [backup-simplify]: Simplify 2.0 into 2.0 4.151 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.151 * [taylor]: Taking taylor expansion of PI in k 4.151 * [backup-simplify]: Simplify PI into PI 4.151 * [taylor]: Taking taylor expansion of n in k 4.151 * [backup-simplify]: Simplify n into n 4.151 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.151 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.151 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.152 * [backup-simplify]: Simplify (- 1) into -1 4.152 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.152 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.152 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.153 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.153 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.153 * [taylor]: Taking taylor expansion of 0.5 in n 4.153 * [backup-simplify]: Simplify 0.5 into 0.5 4.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.153 * [taylor]: Taking taylor expansion of 1.0 in n 4.153 * [backup-simplify]: Simplify 1.0 into 1.0 4.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.153 * [taylor]: Taking taylor expansion of k in n 4.153 * [backup-simplify]: Simplify k into k 4.153 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.153 * [taylor]: Taking taylor expansion of 2.0 in n 4.153 * [backup-simplify]: Simplify 2.0 into 2.0 4.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.153 * [taylor]: Taking taylor expansion of PI in n 4.153 * [backup-simplify]: Simplify PI into PI 4.153 * [taylor]: Taking taylor expansion of n in n 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (/ PI 1) into PI 4.154 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.154 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.154 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.154 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.154 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.155 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.156 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.157 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.157 * [taylor]: Taking taylor expansion of 0.5 in n 4.157 * [backup-simplify]: Simplify 0.5 into 0.5 4.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.157 * [taylor]: Taking taylor expansion of 1.0 in n 4.157 * [backup-simplify]: Simplify 1.0 into 1.0 4.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.157 * [taylor]: Taking taylor expansion of k in n 4.157 * [backup-simplify]: Simplify k into k 4.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.157 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.157 * [taylor]: Taking taylor expansion of 2.0 in n 4.157 * [backup-simplify]: Simplify 2.0 into 2.0 4.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.157 * [taylor]: Taking taylor expansion of PI in n 4.157 * [backup-simplify]: Simplify PI into PI 4.157 * [taylor]: Taking taylor expansion of n in n 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (/ PI 1) into PI 4.158 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.158 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.159 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.159 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.159 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.160 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.160 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.161 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.161 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.161 * [taylor]: Taking taylor expansion of 0.5 in k 4.161 * [backup-simplify]: Simplify 0.5 into 0.5 4.161 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.161 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.161 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.161 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.161 * [taylor]: Taking taylor expansion of 2.0 in k 4.161 * [backup-simplify]: Simplify 2.0 into 2.0 4.161 * [taylor]: Taking taylor expansion of PI in k 4.161 * [backup-simplify]: Simplify PI into PI 4.162 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.162 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.162 * [taylor]: Taking taylor expansion of (log n) in k 4.162 * [taylor]: Taking taylor expansion of n in k 4.162 * [backup-simplify]: Simplify n into n 4.162 * [backup-simplify]: Simplify (log n) into (log n) 4.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.162 * [taylor]: Taking taylor expansion of 1.0 in k 4.162 * [backup-simplify]: Simplify 1.0 into 1.0 4.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.162 * [taylor]: Taking taylor expansion of k in k 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (/ 1 1) into 1 4.163 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.163 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.164 * [backup-simplify]: Simplify (- 1) into -1 4.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.165 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.165 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.167 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.169 * [backup-simplify]: Simplify (- 0) into 0 4.169 * [backup-simplify]: Simplify (+ 0 0) into 0 4.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.171 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.172 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.173 * [taylor]: Taking taylor expansion of 0 in k 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.176 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.176 * [backup-simplify]: Simplify (- 0) into 0 4.176 * [backup-simplify]: Simplify (+ 0 0) into 0 4.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.180 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.183 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.183 * [taylor]: Taking taylor expansion of 0 in k 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.193 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 4.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.194 * [backup-simplify]: Simplify (- 0) into 0 4.194 * [backup-simplify]: Simplify (+ 0 0) into 0 4.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.197 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.199 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.203 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.203 * [taylor]: Taking taylor expansion of 0 in k 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 4.205 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 4.205 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.205 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.205 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.205 * [taylor]: Taking taylor expansion of 0.5 in k 4.206 * [backup-simplify]: Simplify 0.5 into 0.5 4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.206 * [taylor]: Taking taylor expansion of k in k 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (/ 1 1) into 1 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [backup-simplify]: Simplify 1.0 into 1.0 4.206 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.206 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.206 * [taylor]: Taking taylor expansion of -2.0 in k 4.206 * [backup-simplify]: Simplify -2.0 into -2.0 4.206 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.206 * [taylor]: Taking taylor expansion of PI in k 4.206 * [backup-simplify]: Simplify PI into PI 4.206 * [taylor]: Taking taylor expansion of n in k 4.206 * [backup-simplify]: Simplify n into n 4.207 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.207 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.207 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.208 * [backup-simplify]: Simplify (+ 1 0) into 1 4.208 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.209 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.209 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.209 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.209 * [taylor]: Taking taylor expansion of 0.5 in n 4.210 * [backup-simplify]: Simplify 0.5 into 0.5 4.210 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.210 * [taylor]: Taking taylor expansion of k in n 4.210 * [backup-simplify]: Simplify k into k 4.210 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.210 * [taylor]: Taking taylor expansion of 1.0 in n 4.210 * [backup-simplify]: Simplify 1.0 into 1.0 4.210 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.210 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.210 * [taylor]: Taking taylor expansion of -2.0 in n 4.210 * [backup-simplify]: Simplify -2.0 into -2.0 4.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.210 * [taylor]: Taking taylor expansion of PI in n 4.210 * [backup-simplify]: Simplify PI into PI 4.210 * [taylor]: Taking taylor expansion of n in n 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ PI 1) into PI 4.211 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.213 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.213 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.213 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.216 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.217 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.217 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.217 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.217 * [taylor]: Taking taylor expansion of 0.5 in n 4.217 * [backup-simplify]: Simplify 0.5 into 0.5 4.217 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.217 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.217 * [taylor]: Taking taylor expansion of k in n 4.217 * [backup-simplify]: Simplify k into k 4.217 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.217 * [taylor]: Taking taylor expansion of 1.0 in n 4.217 * [backup-simplify]: Simplify 1.0 into 1.0 4.217 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.217 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.217 * [taylor]: Taking taylor expansion of -2.0 in n 4.217 * [backup-simplify]: Simplify -2.0 into -2.0 4.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.217 * [taylor]: Taking taylor expansion of PI in n 4.217 * [backup-simplify]: Simplify PI into PI 4.217 * [taylor]: Taking taylor expansion of n in n 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ PI 1) into PI 4.218 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.219 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.219 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.219 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.221 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.221 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.221 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.221 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.221 * [taylor]: Taking taylor expansion of 0.5 in k 4.221 * [backup-simplify]: Simplify 0.5 into 0.5 4.221 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.222 * [taylor]: Taking taylor expansion of k in k 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (/ 1 1) into 1 4.222 * [taylor]: Taking taylor expansion of 1.0 in k 4.222 * [backup-simplify]: Simplify 1.0 into 1.0 4.222 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.222 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.222 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.222 * [taylor]: Taking taylor expansion of -2.0 in k 4.222 * [backup-simplify]: Simplify -2.0 into -2.0 4.222 * [taylor]: Taking taylor expansion of PI in k 4.222 * [backup-simplify]: Simplify PI into PI 4.222 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.223 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.223 * [taylor]: Taking taylor expansion of (log n) in k 4.223 * [taylor]: Taking taylor expansion of n in k 4.223 * [backup-simplify]: Simplify n into n 4.223 * [backup-simplify]: Simplify (log n) into (log n) 4.223 * [backup-simplify]: Simplify (+ 1 0) into 1 4.223 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.224 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.225 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.225 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.226 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.227 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.237 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.239 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.239 * [taylor]: Taking taylor expansion of 0 in k 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.242 * [backup-simplify]: Simplify (+ 0 0) into 0 4.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.245 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.247 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.247 * [taylor]: Taking taylor expansion of 0 in k 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.254 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.260 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.262 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.263 * [taylor]: Taking taylor expansion of 0 in k 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.265 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.265 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.265 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.265 * [taylor]: Taking taylor expansion of 2.0 in n 4.265 * [backup-simplify]: Simplify 2.0 into 2.0 4.265 * [taylor]: Taking taylor expansion of (* n PI) in n 4.265 * [taylor]: Taking taylor expansion of n in n 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [taylor]: Taking taylor expansion of PI in n 4.265 * [backup-simplify]: Simplify PI into PI 4.265 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.265 * [taylor]: Taking taylor expansion of 2.0 in n 4.265 * [backup-simplify]: Simplify 2.0 into 2.0 4.265 * [taylor]: Taking taylor expansion of (* n PI) in n 4.265 * [taylor]: Taking taylor expansion of n in n 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [taylor]: Taking taylor expansion of PI in n 4.265 * [backup-simplify]: Simplify PI into PI 4.266 * [backup-simplify]: Simplify (* 0 PI) into 0 4.266 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.269 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.270 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.272 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.277 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.282 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.283 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.285 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.285 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.285 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.285 * [taylor]: Taking taylor expansion of 2.0 in n 4.285 * [backup-simplify]: Simplify 2.0 into 2.0 4.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.286 * [taylor]: Taking taylor expansion of PI in n 4.286 * [backup-simplify]: Simplify PI into PI 4.286 * [taylor]: Taking taylor expansion of n in n 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (/ PI 1) into PI 4.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.286 * [taylor]: Taking taylor expansion of 2.0 in n 4.286 * [backup-simplify]: Simplify 2.0 into 2.0 4.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.286 * [taylor]: Taking taylor expansion of PI in n 4.286 * [backup-simplify]: Simplify PI into PI 4.286 * [taylor]: Taking taylor expansion of n in n 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (/ PI 1) into PI 4.287 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.287 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.292 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.296 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.296 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.296 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.296 * [taylor]: Taking taylor expansion of -2.0 in n 4.296 * [backup-simplify]: Simplify -2.0 into -2.0 4.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.296 * [taylor]: Taking taylor expansion of PI in n 4.296 * [backup-simplify]: Simplify PI into PI 4.296 * [taylor]: Taking taylor expansion of n in n 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (/ PI 1) into PI 4.296 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.296 * [taylor]: Taking taylor expansion of -2.0 in n 4.296 * [backup-simplify]: Simplify -2.0 into -2.0 4.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.296 * [taylor]: Taking taylor expansion of PI in n 4.296 * [backup-simplify]: Simplify PI into PI 4.296 * [taylor]: Taking taylor expansion of n in n 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ PI 1) into PI 4.297 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.297 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.301 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.302 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.306 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.306 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.306 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.306 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.306 * [taylor]: Taking taylor expansion of 1.0 in k 4.306 * [backup-simplify]: Simplify 1.0 into 1.0 4.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.306 * [taylor]: Taking taylor expansion of k in k 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [backup-simplify]: Simplify 1 into 1 4.306 * [backup-simplify]: Simplify (/ 1 1) into 1 4.307 * [backup-simplify]: Simplify (sqrt 0) into 0 4.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.308 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.308 * [taylor]: Taking taylor expansion of 1.0 in k 4.308 * [backup-simplify]: Simplify 1.0 into 1.0 4.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.308 * [taylor]: Taking taylor expansion of k in k 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [backup-simplify]: Simplify (/ 1 1) into 1 4.308 * [backup-simplify]: Simplify (sqrt 0) into 0 4.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.310 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.311 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.315 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.322 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.323 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.324 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.324 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.324 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.324 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.324 * [taylor]: Taking taylor expansion of 1.0 in k 4.324 * [backup-simplify]: Simplify 1.0 into 1.0 4.324 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.324 * [taylor]: Taking taylor expansion of k in k 4.324 * [backup-simplify]: Simplify 0 into 0 4.324 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (sqrt 0) into 0 4.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.326 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.326 * [taylor]: Taking taylor expansion of 1.0 in k 4.326 * [backup-simplify]: Simplify 1.0 into 1.0 4.326 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.326 * [taylor]: Taking taylor expansion of k in k 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (sqrt 0) into 0 4.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.328 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.330 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.334 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.336 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.336 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.343 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.343 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.345 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 4.345 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.345 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.345 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.345 * [taylor]: Taking taylor expansion of 1.0 in k 4.345 * [backup-simplify]: Simplify 1.0 into 1.0 4.346 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.346 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.346 * [taylor]: Taking taylor expansion of -1 in k 4.346 * [backup-simplify]: Simplify -1 into -1 4.346 * [taylor]: Taking taylor expansion of k in k 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (/ -1 1) into -1 4.347 * [backup-simplify]: Simplify (sqrt 0) into 0 4.348 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.348 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.348 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.348 * [taylor]: Taking taylor expansion of 1.0 in k 4.348 * [backup-simplify]: Simplify 1.0 into 1.0 4.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.348 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.349 * [taylor]: Taking taylor expansion of -1 in k 4.349 * [backup-simplify]: Simplify -1 into -1 4.349 * [taylor]: Taking taylor expansion of k in k 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 1 into 1 4.349 * [backup-simplify]: Simplify (/ -1 1) into -1 4.349 * [backup-simplify]: Simplify (sqrt 0) into 0 4.361 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.361 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.369 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.369 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.376 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.377 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.377 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.377 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.378 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 4.378 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.378 * [taylor]: Taking taylor expansion of 1.0 in n 4.378 * [backup-simplify]: Simplify 1.0 into 1.0 4.378 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.378 * [taylor]: Taking taylor expansion of k in n 4.378 * [backup-simplify]: Simplify k into k 4.378 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.378 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.378 * [taylor]: Taking taylor expansion of 0.5 in n 4.378 * [backup-simplify]: Simplify 0.5 into 0.5 4.378 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.378 * [taylor]: Taking taylor expansion of 1.0 in n 4.378 * [backup-simplify]: Simplify 1.0 into 1.0 4.379 * [taylor]: Taking taylor expansion of k in n 4.379 * [backup-simplify]: Simplify k into k 4.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.379 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.379 * [taylor]: Taking taylor expansion of 2.0 in n 4.379 * [backup-simplify]: Simplify 2.0 into 2.0 4.379 * [taylor]: Taking taylor expansion of (* n PI) in n 4.379 * [taylor]: Taking taylor expansion of n in n 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [taylor]: Taking taylor expansion of PI in n 4.379 * [backup-simplify]: Simplify PI into PI 4.379 * [backup-simplify]: Simplify (* 0 PI) into 0 4.379 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.380 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.381 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.382 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.382 * [backup-simplify]: Simplify (- k) into (- k) 4.382 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.382 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.384 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 4.384 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 4.384 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.385 * [taylor]: Taking taylor expansion of 1.0 in k 4.385 * [backup-simplify]: Simplify 1.0 into 1.0 4.385 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.385 * [taylor]: Taking taylor expansion of k in k 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify (/ 1 1) into 1 4.385 * [backup-simplify]: Simplify (sqrt 0) into 0 4.386 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.386 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.386 * [taylor]: Taking taylor expansion of 0.5 in k 4.386 * [backup-simplify]: Simplify 0.5 into 0.5 4.386 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.386 * [taylor]: Taking taylor expansion of 1.0 in k 4.386 * [backup-simplify]: Simplify 1.0 into 1.0 4.386 * [taylor]: Taking taylor expansion of k in k 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.386 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.386 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.386 * [taylor]: Taking taylor expansion of 2.0 in k 4.386 * [backup-simplify]: Simplify 2.0 into 2.0 4.386 * [taylor]: Taking taylor expansion of (* n PI) in k 4.386 * [taylor]: Taking taylor expansion of n in k 4.386 * [backup-simplify]: Simplify n into n 4.386 * [taylor]: Taking taylor expansion of PI in k 4.386 * [backup-simplify]: Simplify PI into PI 4.386 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.386 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.386 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.387 * [backup-simplify]: Simplify (- 0) into 0 4.387 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.387 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.387 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.387 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.387 * [taylor]: Taking taylor expansion of 1.0 in k 4.387 * [backup-simplify]: Simplify 1.0 into 1.0 4.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.387 * [taylor]: Taking taylor expansion of k in k 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [backup-simplify]: Simplify (sqrt 0) into 0 4.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.389 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.389 * [taylor]: Taking taylor expansion of 0.5 in k 4.389 * [backup-simplify]: Simplify 0.5 into 0.5 4.389 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.389 * [taylor]: Taking taylor expansion of 1.0 in k 4.389 * [backup-simplify]: Simplify 1.0 into 1.0 4.389 * [taylor]: Taking taylor expansion of k in k 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.389 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.389 * [taylor]: Taking taylor expansion of 2.0 in k 4.389 * [backup-simplify]: Simplify 2.0 into 2.0 4.389 * [taylor]: Taking taylor expansion of (* n PI) in k 4.389 * [taylor]: Taking taylor expansion of n in k 4.389 * [backup-simplify]: Simplify n into n 4.389 * [taylor]: Taking taylor expansion of PI in k 4.389 * [backup-simplify]: Simplify PI into PI 4.389 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.389 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.389 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.390 * [backup-simplify]: Simplify (- 0) into 0 4.390 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.390 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.390 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.390 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.390 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.391 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.391 * [taylor]: Taking taylor expansion of 0 in n 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify 0 into 0 4.391 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.391 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.392 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.392 * [backup-simplify]: Simplify (- 1) into -1 4.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.393 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.394 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.394 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.395 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.396 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.397 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.397 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.397 * [taylor]: Taking taylor expansion of +nan.0 in n 4.397 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.397 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.397 * [taylor]: Taking taylor expansion of 0.5 in n 4.397 * [backup-simplify]: Simplify 0.5 into 0.5 4.397 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.397 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.397 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [backup-simplify]: Simplify 1.0 into 1.0 4.397 * [taylor]: Taking taylor expansion of (log PI) in n 4.397 * [taylor]: Taking taylor expansion of PI in n 4.397 * [backup-simplify]: Simplify PI into PI 4.397 * [backup-simplify]: Simplify (log PI) into (log PI) 4.398 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.399 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.399 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.399 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.399 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.399 * [taylor]: Taking taylor expansion of 1.0 in n 4.399 * [backup-simplify]: Simplify 1.0 into 1.0 4.399 * [taylor]: Taking taylor expansion of (log n) in n 4.399 * [taylor]: Taking taylor expansion of n in n 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [backup-simplify]: Simplify (log 1) into 0 4.399 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.399 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.400 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.400 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.400 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.400 * [taylor]: Taking taylor expansion of 1.0 in n 4.400 * [backup-simplify]: Simplify 1.0 into 1.0 4.400 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.400 * [taylor]: Taking taylor expansion of 2.0 in n 4.400 * [backup-simplify]: Simplify 2.0 into 2.0 4.400 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.401 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.402 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.402 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.403 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.404 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.404 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.405 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.407 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.409 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.410 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.410 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.412 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.414 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 4.414 * [backup-simplify]: Simplify (- 0) into 0 4.415 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.418 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.426 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.431 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.431 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.431 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.431 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.431 * [taylor]: Taking taylor expansion of +nan.0 in n 4.431 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.431 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.431 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.431 * [taylor]: Taking taylor expansion of 0.5 in n 4.431 * [backup-simplify]: Simplify 0.5 into 0.5 4.431 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.431 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.431 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.431 * [taylor]: Taking taylor expansion of 1.0 in n 4.431 * [backup-simplify]: Simplify 1.0 into 1.0 4.431 * [taylor]: Taking taylor expansion of (log PI) in n 4.432 * [taylor]: Taking taylor expansion of PI in n 4.432 * [backup-simplify]: Simplify PI into PI 4.432 * [backup-simplify]: Simplify (log PI) into (log PI) 4.433 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.435 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.435 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.435 * [taylor]: Taking taylor expansion of 1.0 in n 4.435 * [backup-simplify]: Simplify 1.0 into 1.0 4.435 * [taylor]: Taking taylor expansion of (log n) in n 4.435 * [taylor]: Taking taylor expansion of n in n 4.435 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify 1 into 1 4.435 * [backup-simplify]: Simplify (log 1) into 0 4.436 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.436 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.436 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.436 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.436 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.436 * [taylor]: Taking taylor expansion of 1.0 in n 4.436 * [backup-simplify]: Simplify 1.0 into 1.0 4.436 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.436 * [taylor]: Taking taylor expansion of 2.0 in n 4.436 * [backup-simplify]: Simplify 2.0 into 2.0 4.437 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.438 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.439 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.440 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 4.441 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 4.442 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 4.444 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 4.445 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.445 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.445 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.445 * [taylor]: Taking taylor expansion of +nan.0 in n 4.445 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.445 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.445 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.446 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.446 * [taylor]: Taking taylor expansion of 0.5 in n 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.446 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.446 * [taylor]: Taking taylor expansion of 1.0 in n 4.446 * [backup-simplify]: Simplify 1.0 into 1.0 4.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.446 * [taylor]: Taking taylor expansion of 2.0 in n 4.446 * [backup-simplify]: Simplify 2.0 into 2.0 4.446 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.447 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.449 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.449 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.449 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.449 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.449 * [taylor]: Taking taylor expansion of 1.0 in n 4.449 * [backup-simplify]: Simplify 1.0 into 1.0 4.449 * [taylor]: Taking taylor expansion of (log PI) in n 4.449 * [taylor]: Taking taylor expansion of PI in n 4.449 * [backup-simplify]: Simplify PI into PI 4.450 * [backup-simplify]: Simplify (log PI) into (log PI) 4.451 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.453 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.453 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.453 * [taylor]: Taking taylor expansion of 1.0 in n 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [taylor]: Taking taylor expansion of (log n) in n 4.453 * [taylor]: Taking taylor expansion of n in n 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [backup-simplify]: Simplify (log 1) into 0 4.454 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.454 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.454 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.455 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.456 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.457 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.458 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.460 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.460 * [taylor]: Taking taylor expansion of 2.0 in n 4.460 * [backup-simplify]: Simplify 2.0 into 2.0 4.460 * [taylor]: Taking taylor expansion of (* n PI) in n 4.460 * [taylor]: Taking taylor expansion of n in n 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [taylor]: Taking taylor expansion of PI in n 4.460 * [backup-simplify]: Simplify PI into PI 4.461 * [backup-simplify]: Simplify (* 0 PI) into 0 4.461 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.464 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.467 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 4.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.470 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.472 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.474 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 4.477 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.481 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.490 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.492 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.493 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.494 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.494 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.495 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.495 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.497 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.498 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.499 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 4.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 4.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.506 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 4.506 * [backup-simplify]: Simplify (- 0) into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.508 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.511 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 4.512 * [backup-simplify]: Simplify (- 0) into 0 4.512 * [backup-simplify]: Simplify (+ 0 0) into 0 4.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.515 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.517 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.528 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.536 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.536 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.536 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.536 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.536 * [taylor]: Taking taylor expansion of +nan.0 in n 4.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.536 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.536 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.536 * [taylor]: Taking taylor expansion of 0.5 in n 4.536 * [backup-simplify]: Simplify 0.5 into 0.5 4.536 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.536 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.536 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.536 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.536 * [taylor]: Taking taylor expansion of 1.0 in n 4.536 * [backup-simplify]: Simplify 1.0 into 1.0 4.536 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.536 * [taylor]: Taking taylor expansion of 2.0 in n 4.536 * [backup-simplify]: Simplify 2.0 into 2.0 4.536 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.537 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.538 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.538 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.538 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.538 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.538 * [taylor]: Taking taylor expansion of 1.0 in n 4.538 * [backup-simplify]: Simplify 1.0 into 1.0 4.538 * [taylor]: Taking taylor expansion of (log n) in n 4.538 * [taylor]: Taking taylor expansion of n in n 4.538 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (log 1) into 0 4.539 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.539 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.539 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.539 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.539 * [taylor]: Taking taylor expansion of 1.0 in n 4.539 * [backup-simplify]: Simplify 1.0 into 1.0 4.539 * [taylor]: Taking taylor expansion of (log PI) in n 4.539 * [taylor]: Taking taylor expansion of PI in n 4.539 * [backup-simplify]: Simplify PI into PI 4.539 * [backup-simplify]: Simplify (log PI) into (log PI) 4.540 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.541 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.541 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.542 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.543 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.544 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.544 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.545 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.545 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.545 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.545 * [taylor]: Taking taylor expansion of +nan.0 in n 4.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.545 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.545 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.545 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.545 * [taylor]: Taking taylor expansion of 0.5 in n 4.545 * [backup-simplify]: Simplify 0.5 into 0.5 4.545 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.545 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.545 * [taylor]: Taking taylor expansion of 1.0 in n 4.545 * [backup-simplify]: Simplify 1.0 into 1.0 4.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.545 * [taylor]: Taking taylor expansion of 2.0 in n 4.545 * [backup-simplify]: Simplify 2.0 into 2.0 4.545 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.546 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.547 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.547 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.547 * [taylor]: Taking taylor expansion of 1.0 in n 4.547 * [backup-simplify]: Simplify 1.0 into 1.0 4.547 * [taylor]: Taking taylor expansion of (log PI) in n 4.547 * [taylor]: Taking taylor expansion of PI in n 4.547 * [backup-simplify]: Simplify PI into PI 4.547 * [backup-simplify]: Simplify (log PI) into (log PI) 4.548 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.549 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.549 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [backup-simplify]: Simplify 1.0 into 1.0 4.549 * [taylor]: Taking taylor expansion of (log n) in n 4.549 * [taylor]: Taking taylor expansion of n in n 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 1 into 1 4.549 * [backup-simplify]: Simplify (log 1) into 0 4.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.549 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.550 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.550 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.551 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.552 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.552 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.553 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.553 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.554 * [taylor]: Taking taylor expansion of 2.0 in n 4.554 * [backup-simplify]: Simplify 2.0 into 2.0 4.554 * [taylor]: Taking taylor expansion of (* n PI) in n 4.554 * [taylor]: Taking taylor expansion of n in n 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify 1 into 1 4.554 * [taylor]: Taking taylor expansion of PI in n 4.554 * [backup-simplify]: Simplify PI into PI 4.554 * [backup-simplify]: Simplify (* 0 PI) into 0 4.554 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.556 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.557 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.557 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 4.557 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.557 * [taylor]: Taking taylor expansion of +nan.0 in n 4.557 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.557 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.557 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.557 * [taylor]: Taking taylor expansion of 0.5 in n 4.557 * [backup-simplify]: Simplify 0.5 into 0.5 4.557 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.557 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.557 * [taylor]: Taking taylor expansion of 1.0 in n 4.557 * [backup-simplify]: Simplify 1.0 into 1.0 4.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.557 * [taylor]: Taking taylor expansion of 2.0 in n 4.557 * [backup-simplify]: Simplify 2.0 into 2.0 4.557 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.558 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.559 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.559 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.559 * [taylor]: Taking taylor expansion of 1.0 in n 4.559 * [backup-simplify]: Simplify 1.0 into 1.0 4.559 * [taylor]: Taking taylor expansion of (log PI) in n 4.559 * [taylor]: Taking taylor expansion of PI in n 4.559 * [backup-simplify]: Simplify PI into PI 4.560 * [backup-simplify]: Simplify (log PI) into (log PI) 4.560 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.561 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.562 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.562 * [taylor]: Taking taylor expansion of 1.0 in n 4.562 * [backup-simplify]: Simplify 1.0 into 1.0 4.562 * [taylor]: Taking taylor expansion of (log n) in n 4.562 * [taylor]: Taking taylor expansion of n in n 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (log 1) into 0 4.563 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.563 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.563 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.564 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.565 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.566 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.568 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.569 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.569 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.569 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.569 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.569 * [taylor]: Taking taylor expansion of 2.0 in n 4.569 * [backup-simplify]: Simplify 2.0 into 2.0 4.569 * [taylor]: Taking taylor expansion of (* n PI) in n 4.570 * [taylor]: Taking taylor expansion of n in n 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [taylor]: Taking taylor expansion of PI in n 4.570 * [backup-simplify]: Simplify PI into PI 4.570 * [backup-simplify]: Simplify (* 0 PI) into 0 4.571 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.572 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.574 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.575 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.578 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.580 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.582 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.585 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.587 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.588 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.591 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.594 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.596 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.599 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.612 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 4.636 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 4.654 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.672 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.690 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.709 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 4.710 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 4.710 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.710 * [taylor]: Taking taylor expansion of 1.0 in n 4.710 * [backup-simplify]: Simplify 1.0 into 1.0 4.710 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.710 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.710 * [taylor]: Taking taylor expansion of k in n 4.710 * [backup-simplify]: Simplify k into k 4.710 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.711 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.711 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.711 * [taylor]: Taking taylor expansion of 0.5 in n 4.711 * [backup-simplify]: Simplify 0.5 into 0.5 4.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.711 * [taylor]: Taking taylor expansion of 1.0 in n 4.711 * [backup-simplify]: Simplify 1.0 into 1.0 4.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.711 * [taylor]: Taking taylor expansion of k in n 4.711 * [backup-simplify]: Simplify k into k 4.711 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.711 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.711 * [taylor]: Taking taylor expansion of 2.0 in n 4.711 * [backup-simplify]: Simplify 2.0 into 2.0 4.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.711 * [taylor]: Taking taylor expansion of PI in n 4.711 * [backup-simplify]: Simplify PI into PI 4.711 * [taylor]: Taking taylor expansion of n in n 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ PI 1) into PI 4.712 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.712 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.712 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.713 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.713 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.714 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.715 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.715 * [taylor]: Taking taylor expansion of 1.0 in k 4.715 * [backup-simplify]: Simplify 1.0 into 1.0 4.715 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.715 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.715 * [taylor]: Taking taylor expansion of k in k 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (sqrt 0) into 0 4.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.716 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.716 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.716 * [taylor]: Taking taylor expansion of 0.5 in k 4.716 * [backup-simplify]: Simplify 0.5 into 0.5 4.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.717 * [taylor]: Taking taylor expansion of 1.0 in k 4.717 * [backup-simplify]: Simplify 1.0 into 1.0 4.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.717 * [taylor]: Taking taylor expansion of k in k 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ 1 1) into 1 4.717 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.717 * [taylor]: Taking taylor expansion of 2.0 in k 4.717 * [backup-simplify]: Simplify 2.0 into 2.0 4.717 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.717 * [taylor]: Taking taylor expansion of PI in k 4.717 * [backup-simplify]: Simplify PI into PI 4.717 * [taylor]: Taking taylor expansion of n in k 4.717 * [backup-simplify]: Simplify n into n 4.717 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.717 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.717 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.717 * [backup-simplify]: Simplify (- 1) into -1 4.718 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.718 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.718 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.718 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.718 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.718 * [taylor]: Taking taylor expansion of 1.0 in k 4.718 * [backup-simplify]: Simplify 1.0 into 1.0 4.718 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.718 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.718 * [taylor]: Taking taylor expansion of k in k 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.719 * [backup-simplify]: Simplify (sqrt 0) into 0 4.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.719 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.719 * [taylor]: Taking taylor expansion of 0.5 in k 4.719 * [backup-simplify]: Simplify 0.5 into 0.5 4.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.720 * [taylor]: Taking taylor expansion of 1.0 in k 4.720 * [backup-simplify]: Simplify 1.0 into 1.0 4.720 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.720 * [taylor]: Taking taylor expansion of k in k 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (/ 1 1) into 1 4.720 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.720 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.720 * [taylor]: Taking taylor expansion of 2.0 in k 4.720 * [backup-simplify]: Simplify 2.0 into 2.0 4.720 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.720 * [taylor]: Taking taylor expansion of PI in k 4.720 * [backup-simplify]: Simplify PI into PI 4.720 * [taylor]: Taking taylor expansion of n in k 4.720 * [backup-simplify]: Simplify n into n 4.720 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.720 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.720 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.720 * [backup-simplify]: Simplify (- 1) into -1 4.721 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.721 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.721 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.721 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.721 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.722 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.722 * [taylor]: Taking taylor expansion of 0 in n 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.723 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.723 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.723 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.723 * [taylor]: Taking taylor expansion of +nan.0 in n 4.723 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.723 * [taylor]: Taking taylor expansion of 0.5 in n 4.723 * [backup-simplify]: Simplify 0.5 into 0.5 4.723 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.723 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.723 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.723 * [taylor]: Taking taylor expansion of 2.0 in n 4.723 * [backup-simplify]: Simplify 2.0 into 2.0 4.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.723 * [taylor]: Taking taylor expansion of PI in n 4.723 * [backup-simplify]: Simplify PI into PI 4.723 * [taylor]: Taking taylor expansion of n in n 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (/ PI 1) into PI 4.724 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.724 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.724 * [taylor]: Taking taylor expansion of 1.0 in n 4.724 * [backup-simplify]: Simplify 1.0 into 1.0 4.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.724 * [taylor]: Taking taylor expansion of k in n 4.724 * [backup-simplify]: Simplify k into k 4.724 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.725 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.725 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.726 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.727 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.728 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.728 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.729 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.730 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.731 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.736 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.736 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.736 * [taylor]: Taking taylor expansion of +nan.0 in n 4.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.736 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.736 * [taylor]: Taking taylor expansion of 0.5 in n 4.736 * [backup-simplify]: Simplify 0.5 into 0.5 4.736 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.736 * [taylor]: Taking taylor expansion of 2.0 in n 4.736 * [backup-simplify]: Simplify 2.0 into 2.0 4.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.736 * [taylor]: Taking taylor expansion of PI in n 4.736 * [backup-simplify]: Simplify PI into PI 4.736 * [taylor]: Taking taylor expansion of n in n 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ PI 1) into PI 4.737 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.738 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.738 * [taylor]: Taking taylor expansion of 1.0 in n 4.739 * [backup-simplify]: Simplify 1.0 into 1.0 4.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.739 * [taylor]: Taking taylor expansion of k in n 4.739 * [backup-simplify]: Simplify k into k 4.739 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.740 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.740 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.741 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.743 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.744 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.745 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.747 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.748 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.750 * [backup-simplify]: Simplify (- 0) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.756 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.767 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.769 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.769 * [backup-simplify]: Simplify (- 0) into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.776 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.776 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.776 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.776 * [taylor]: Taking taylor expansion of +nan.0 in n 4.776 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.776 * [taylor]: Taking taylor expansion of 0.5 in n 4.776 * [backup-simplify]: Simplify 0.5 into 0.5 4.776 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.776 * [taylor]: Taking taylor expansion of 2.0 in n 4.777 * [backup-simplify]: Simplify 2.0 into 2.0 4.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.777 * [taylor]: Taking taylor expansion of PI in n 4.777 * [backup-simplify]: Simplify PI into PI 4.777 * [taylor]: Taking taylor expansion of n in n 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (/ PI 1) into PI 4.778 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.779 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.779 * [taylor]: Taking taylor expansion of 1.0 in n 4.779 * [backup-simplify]: Simplify 1.0 into 1.0 4.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.779 * [taylor]: Taking taylor expansion of k in n 4.779 * [backup-simplify]: Simplify k into k 4.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.780 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.780 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.780 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.782 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.783 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.784 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.786 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.787 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.789 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.794 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 4.795 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 4.795 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.795 * [taylor]: Taking taylor expansion of 1.0 in n 4.796 * [backup-simplify]: Simplify 1.0 into 1.0 4.796 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.796 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.796 * [taylor]: Taking taylor expansion of 0.5 in n 4.796 * [backup-simplify]: Simplify 0.5 into 0.5 4.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.796 * [taylor]: Taking taylor expansion of k in n 4.796 * [backup-simplify]: Simplify k into k 4.796 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.796 * [taylor]: Taking taylor expansion of 1.0 in n 4.796 * [backup-simplify]: Simplify 1.0 into 1.0 4.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.796 * [taylor]: Taking taylor expansion of -2.0 in n 4.796 * [backup-simplify]: Simplify -2.0 into -2.0 4.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.796 * [taylor]: Taking taylor expansion of PI in n 4.796 * [backup-simplify]: Simplify PI into PI 4.796 * [taylor]: Taking taylor expansion of n in n 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 1 into 1 4.797 * [backup-simplify]: Simplify (/ PI 1) into PI 4.797 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.799 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.799 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.799 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.802 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.803 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.803 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.803 * [taylor]: Taking taylor expansion of -1 in n 4.803 * [backup-simplify]: Simplify -1 into -1 4.803 * [taylor]: Taking taylor expansion of k in n 4.803 * [backup-simplify]: Simplify k into k 4.803 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.803 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.804 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.805 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 4.806 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.806 * [taylor]: Taking taylor expansion of 1.0 in k 4.806 * [backup-simplify]: Simplify 1.0 into 1.0 4.806 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.806 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.806 * [taylor]: Taking taylor expansion of 0.5 in k 4.806 * [backup-simplify]: Simplify 0.5 into 0.5 4.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.806 * [taylor]: Taking taylor expansion of k in k 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [backup-simplify]: Simplify (/ 1 1) into 1 4.807 * [taylor]: Taking taylor expansion of 1.0 in k 4.807 * [backup-simplify]: Simplify 1.0 into 1.0 4.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.807 * [taylor]: Taking taylor expansion of -2.0 in k 4.807 * [backup-simplify]: Simplify -2.0 into -2.0 4.807 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.807 * [taylor]: Taking taylor expansion of PI in k 4.807 * [backup-simplify]: Simplify PI into PI 4.807 * [taylor]: Taking taylor expansion of n in k 4.807 * [backup-simplify]: Simplify n into n 4.807 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.807 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.807 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.808 * [backup-simplify]: Simplify (+ 1 0) into 1 4.808 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.808 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.808 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.809 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.809 * [taylor]: Taking taylor expansion of -1 in k 4.809 * [backup-simplify]: Simplify -1 into -1 4.809 * [taylor]: Taking taylor expansion of k in k 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.809 * [backup-simplify]: Simplify (/ -1 1) into -1 4.810 * [backup-simplify]: Simplify (sqrt 0) into 0 4.811 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.811 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.812 * [taylor]: Taking taylor expansion of 1.0 in k 4.812 * [backup-simplify]: Simplify 1.0 into 1.0 4.812 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.812 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.812 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.812 * [taylor]: Taking taylor expansion of 0.5 in k 4.812 * [backup-simplify]: Simplify 0.5 into 0.5 4.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.812 * [taylor]: Taking taylor expansion of k in k 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.812 * [taylor]: Taking taylor expansion of 1.0 in k 4.812 * [backup-simplify]: Simplify 1.0 into 1.0 4.812 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.813 * [taylor]: Taking taylor expansion of -2.0 in k 4.813 * [backup-simplify]: Simplify -2.0 into -2.0 4.813 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.813 * [taylor]: Taking taylor expansion of PI in k 4.813 * [backup-simplify]: Simplify PI into PI 4.813 * [taylor]: Taking taylor expansion of n in k 4.813 * [backup-simplify]: Simplify n into n 4.813 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.813 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.813 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.813 * [backup-simplify]: Simplify (+ 1 0) into 1 4.814 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.814 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.814 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.814 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.814 * [taylor]: Taking taylor expansion of -1 in k 4.815 * [backup-simplify]: Simplify -1 into -1 4.815 * [taylor]: Taking taylor expansion of k in k 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (/ -1 1) into -1 4.815 * [backup-simplify]: Simplify (sqrt 0) into 0 4.817 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.817 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.818 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 4.818 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.818 * [taylor]: Taking taylor expansion of +nan.0 in n 4.818 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.818 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.818 * [taylor]: Taking taylor expansion of 0.5 in n 4.818 * [backup-simplify]: Simplify 0.5 into 0.5 4.818 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.818 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.818 * [taylor]: Taking taylor expansion of k in n 4.818 * [backup-simplify]: Simplify k into k 4.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.818 * [taylor]: Taking taylor expansion of 1.0 in n 4.818 * [backup-simplify]: Simplify 1.0 into 1.0 4.818 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.818 * [taylor]: Taking taylor expansion of -2.0 in n 4.818 * [backup-simplify]: Simplify -2.0 into -2.0 4.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.818 * [taylor]: Taking taylor expansion of PI in n 4.818 * [backup-simplify]: Simplify PI into PI 4.818 * [taylor]: Taking taylor expansion of n in n 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (/ PI 1) into PI 4.819 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.821 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.821 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.823 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.825 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.826 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.827 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.829 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.834 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.835 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.835 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.835 * [taylor]: Taking taylor expansion of +nan.0 in n 4.835 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.835 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.835 * [taylor]: Taking taylor expansion of 0.5 in n 4.835 * [backup-simplify]: Simplify 0.5 into 0.5 4.835 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.835 * [taylor]: Taking taylor expansion of k in n 4.835 * [backup-simplify]: Simplify k into k 4.835 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.835 * [taylor]: Taking taylor expansion of 1.0 in n 4.835 * [backup-simplify]: Simplify 1.0 into 1.0 4.835 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.835 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.836 * [taylor]: Taking taylor expansion of -2.0 in n 4.836 * [backup-simplify]: Simplify -2.0 into -2.0 4.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.836 * [taylor]: Taking taylor expansion of PI in n 4.836 * [backup-simplify]: Simplify PI into PI 4.836 * [taylor]: Taking taylor expansion of n in n 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [backup-simplify]: Simplify (/ PI 1) into PI 4.837 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.838 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.838 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.841 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.842 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.843 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.845 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.846 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.847 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.849 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.852 * [backup-simplify]: Simplify (+ 0 0) into 0 4.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.855 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.857 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.859 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.861 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.867 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.868 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.870 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 4.870 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.870 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.870 * [taylor]: Taking taylor expansion of +nan.0 in n 4.870 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.870 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.870 * [taylor]: Taking taylor expansion of 0.5 in n 4.870 * [backup-simplify]: Simplify 0.5 into 0.5 4.870 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.870 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.870 * [taylor]: Taking taylor expansion of k in n 4.870 * [backup-simplify]: Simplify k into k 4.870 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.870 * [taylor]: Taking taylor expansion of 1.0 in n 4.870 * [backup-simplify]: Simplify 1.0 into 1.0 4.870 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.870 * [taylor]: Taking taylor expansion of -2.0 in n 4.870 * [backup-simplify]: Simplify -2.0 into -2.0 4.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.870 * [taylor]: Taking taylor expansion of PI in n 4.870 * [backup-simplify]: Simplify PI into PI 4.870 * [taylor]: Taking taylor expansion of n in n 4.870 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.871 * [backup-simplify]: Simplify (/ PI 1) into PI 4.872 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.873 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.873 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.874 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.876 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.877 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.878 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.879 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 4.881 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.882 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 4.887 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.887 * * * [progress]: simplifying candidates 4.892 * [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 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2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 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k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.902 * * [simplify]: Extracting # 0 : cost 0 4.902 * * [simplify]: Extracting # 1 : cost 0 4.903 * * [simplify]: Extracting # 2 : cost 0 4.903 * * [simplify]: Extracting # 3 : cost 0 4.904 * * [simplify]: Extracting # 4 : cost 0 4.905 * * [simplify]: Extracting # 5 : cost 0 4.907 * * [simplify]: Extracting # 6 : cost 0 4.908 * * [simplify]: Extracting # 7 : cost 0 4.909 * * [simplify]: Extracting # 8 : cost 0 4.910 * * [simplify]: Extracting # 9 : cost 0 4.911 * * [simplify]: Extracting # 10 : cost 0 4.911 * * [simplify]: Extracting # 11 : cost 0 4.913 * * [simplify]: Extracting # 12 : cost 0 4.914 * * [simplify]: Extracting # 13 : cost 0 4.915 * * [simplify]: Extracting # 14 : cost 0 4.916 * * [simplify]: Extracting # 15 : cost 0 4.917 * * [simplify]: Extracting # 16 : cost 0 4.927 * * [simplify]: Extracting # 17 : cost 0 4.928 * * [simplify]: Extracting # 18 : cost 0 4.929 * * [simplify]: Extracting # 19 : cost 0 4.930 * * [simplify]: Extracting # 20 : cost 0 4.931 * * [simplify]: Extracting # 21 : cost 0 4.932 * * [simplify]: Extracting # 22 : cost 0 4.933 * * [simplify]: Extracting # 23 : cost 0 4.934 * * [simplify]: Extracting # 24 : cost 0 4.936 * * [simplify]: Extracting # 25 : cost 0 4.937 * * [simplify]: Extracting # 26 : cost 0 4.938 * * [simplify]: Extracting # 27 : cost 0 4.939 * * [simplify]: Extracting # 28 : cost 0 4.940 * * [simplify]: Extracting # 29 : cost 0 4.941 * * [simplify]: Extracting # 30 : cost 0 4.942 * * [simplify]: Extracting # 31 : cost 0 4.943 * * [simplify]: Extracting # 32 : cost 0 4.944 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.071 * * [simplify]: Extracting # 0 : cost 0 5.074 * * [simplify]: Extracting # 1 : cost 0 5.078 * * [simplify]: Extracting # 2 : cost 0 5.080 * * [simplify]: Extracting # 3 : cost 0 5.083 * * [simplify]: Extracting # 4 : cost 0 5.086 * * [simplify]: Extracting # 5 : cost 0 5.088 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.704 * * [simplify]: Extracting # 0 : cost 0 5.708 * * [simplify]: Extracting # 1 : cost 0 5.712 * * [simplify]: Extracting # 2 : cost 0 5.716 * * [simplify]: Extracting # 3 : cost 0 5.720 * * [simplify]: Extracting # 4 : cost 0 5.724 * * [simplify]: Extracting # 5 : cost 0 5.728 * * [simplify]: iteration 2 : 3047 enodes (cost 2471 ) 6.812 * * [simplify]: Extracting # 0 : cost 0 6.819 * * [simplify]: Extracting # 1 : cost 0 6.825 * * [simplify]: Extracting # 2 : cost 0 6.839 * * [simplify]: Extracting # 3 : cost 0 6.845 * * [simplify]: Extracting # 4 : cost 0 6.851 * * [simplify]: iteration done: 5000 enodes (cost 2471 ) 6.853 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 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)))) (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 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (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 (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (pow 1.0 3) (/ (* k (sqrt k)) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (+ (- (/ +nan.0 (pow k 2)) (/ +nan.0 k)) +nan.0)) (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) +nan.0) (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k)))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 6.854 * * * [progress]: adding candidates to table 7.511 * * [progress]: iteration 2 / 4 7.511 * * * [progress]: picking best candidate 7.551 * * * * [pick]: Picked # 7.551 * * * [progress]: localizing error 7.593 * * * [progress]: generating rewritten candidates 7.593 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.603 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 7.614 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.672 * * * [progress]: generating series expansions 7.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.672 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 7.672 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 7.672 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.672 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.672 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.672 * [taylor]: Taking taylor expansion of 0.5 in k 7.672 * [backup-simplify]: Simplify 0.5 into 0.5 7.672 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.672 * [taylor]: Taking taylor expansion of 1.0 in k 7.672 * [backup-simplify]: Simplify 1.0 into 1.0 7.672 * [taylor]: Taking taylor expansion of k in k 7.672 * [backup-simplify]: Simplify 0 into 0 7.672 * [backup-simplify]: Simplify 1 into 1 7.672 * [taylor]: Taking taylor expansion of (log n) in k 7.672 * [taylor]: Taking taylor expansion of n in k 7.672 * [backup-simplify]: Simplify n into n 7.672 * [backup-simplify]: Simplify (log n) into (log n) 7.673 * [backup-simplify]: Simplify (- 0) into 0 7.673 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.674 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.674 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.674 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.674 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.674 * [taylor]: Taking taylor expansion of 0.5 in n 7.674 * [backup-simplify]: Simplify 0.5 into 0.5 7.674 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.674 * [taylor]: Taking taylor expansion of 1.0 in n 7.674 * [backup-simplify]: Simplify 1.0 into 1.0 7.674 * [taylor]: Taking taylor expansion of k in n 7.674 * [backup-simplify]: Simplify k into k 7.674 * [taylor]: Taking taylor expansion of (log n) in n 7.674 * [taylor]: Taking taylor expansion of n in n 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.675 * [backup-simplify]: Simplify (log 1) into 0 7.675 * [backup-simplify]: Simplify (- k) into (- k) 7.675 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.675 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.676 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.676 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.676 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.676 * [taylor]: Taking taylor expansion of 0.5 in n 7.676 * [backup-simplify]: Simplify 0.5 into 0.5 7.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.676 * [taylor]: Taking taylor expansion of 1.0 in n 7.676 * [backup-simplify]: Simplify 1.0 into 1.0 7.676 * [taylor]: Taking taylor expansion of k in n 7.676 * [backup-simplify]: Simplify k into k 7.676 * [taylor]: Taking taylor expansion of (log n) in n 7.676 * [taylor]: Taking taylor expansion of n in n 7.676 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify 1 into 1 7.677 * [backup-simplify]: Simplify (log 1) into 0 7.677 * [backup-simplify]: Simplify (- k) into (- k) 7.677 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.677 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.677 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.678 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.678 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 7.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 7.678 * [taylor]: Taking taylor expansion of 0.5 in k 7.678 * [backup-simplify]: Simplify 0.5 into 0.5 7.678 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.678 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.678 * [taylor]: Taking taylor expansion of 1.0 in k 7.678 * [backup-simplify]: Simplify 1.0 into 1.0 7.678 * [taylor]: Taking taylor expansion of k in k 7.678 * [backup-simplify]: Simplify 0 into 0 7.678 * [backup-simplify]: Simplify 1 into 1 7.678 * [taylor]: Taking taylor expansion of (log n) in k 7.678 * [taylor]: Taking taylor expansion of n in k 7.678 * [backup-simplify]: Simplify n into n 7.678 * [backup-simplify]: Simplify (log n) into (log n) 7.679 * [backup-simplify]: Simplify (- 0) into 0 7.679 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.680 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.680 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 7.680 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.680 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 7.681 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify (+ 0 0) into 0 7.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.683 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.683 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 7.684 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.684 * [taylor]: Taking taylor expansion of 0 in k 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 0 into 0 7.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.686 * [backup-simplify]: Simplify (- 1) into -1 7.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.687 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 7.687 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 7.688 * [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))) 7.688 * [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))) 7.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.691 * [backup-simplify]: Simplify (- 0) into 0 7.692 * [backup-simplify]: Simplify (+ 0 0) into 0 7.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.693 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.694 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 7.695 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.695 * [taylor]: Taking taylor expansion of 0 in k 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.698 * [backup-simplify]: Simplify (- 0) into 0 7.698 * [backup-simplify]: Simplify (+ 0 0) into 0 7.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 7.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 7.701 * [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))) 7.701 * [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))) 7.702 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 7.703 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 7.703 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.703 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 7.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 7.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.703 * [taylor]: Taking taylor expansion of 0.5 in k 7.703 * [backup-simplify]: Simplify 0.5 into 0.5 7.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.703 * [taylor]: Taking taylor expansion of 1.0 in k 7.703 * [backup-simplify]: Simplify 1.0 into 1.0 7.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.703 * [taylor]: Taking taylor expansion of k in k 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.704 * [backup-simplify]: Simplify (/ 1 1) into 1 7.704 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 7.704 * [taylor]: Taking taylor expansion of (/ 1 n) in k 7.704 * [taylor]: Taking taylor expansion of n in k 7.704 * [backup-simplify]: Simplify n into n 7.704 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.704 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 7.705 * [backup-simplify]: Simplify (- 1) into -1 7.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.706 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.706 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 7.706 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 7.706 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.706 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.706 * [taylor]: Taking taylor expansion of 0.5 in n 7.706 * [backup-simplify]: Simplify 0.5 into 0.5 7.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.706 * [taylor]: Taking taylor expansion of 1.0 in n 7.706 * [backup-simplify]: Simplify 1.0 into 1.0 7.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.706 * [taylor]: Taking taylor expansion of k in n 7.706 * [backup-simplify]: Simplify k into k 7.706 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.706 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.706 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.706 * [taylor]: Taking taylor expansion of n in n 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 1 into 1 7.707 * [backup-simplify]: Simplify (/ 1 1) into 1 7.707 * [backup-simplify]: Simplify (log 1) into 0 7.707 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.707 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.708 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.708 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.708 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.708 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.709 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.709 * [taylor]: Taking taylor expansion of 0.5 in n 7.709 * [backup-simplify]: Simplify 0.5 into 0.5 7.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.709 * [taylor]: Taking taylor expansion of 1.0 in n 7.709 * [backup-simplify]: Simplify 1.0 into 1.0 7.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.709 * [taylor]: Taking taylor expansion of k in n 7.709 * [backup-simplify]: Simplify k into k 7.709 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.709 * [taylor]: Taking taylor expansion of n in n 7.709 * [backup-simplify]: Simplify 0 into 0 7.709 * [backup-simplify]: Simplify 1 into 1 7.709 * [backup-simplify]: Simplify (/ 1 1) into 1 7.709 * [backup-simplify]: Simplify (log 1) into 0 7.710 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.710 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.710 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.710 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.710 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.710 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.710 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 7.710 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 7.710 * [taylor]: Taking taylor expansion of -0.5 in k 7.710 * [backup-simplify]: Simplify -0.5 into -0.5 7.710 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 7.710 * [taylor]: Taking taylor expansion of (log n) in k 7.710 * [taylor]: Taking taylor expansion of n in k 7.710 * [backup-simplify]: Simplify n into n 7.710 * [backup-simplify]: Simplify (log n) into (log n) 7.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.711 * [taylor]: Taking taylor expansion of 1.0 in k 7.711 * [backup-simplify]: Simplify 1.0 into 1.0 7.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.711 * [taylor]: Taking taylor expansion of k in k 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 1 into 1 7.711 * [backup-simplify]: Simplify (/ 1 1) into 1 7.711 * [backup-simplify]: Simplify (- 1) into -1 7.711 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.711 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 7.711 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 7.712 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.712 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.713 * [backup-simplify]: Simplify (- 0) into 0 7.714 * [backup-simplify]: Simplify (+ 0 0) into 0 7.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.714 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 7.715 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.715 * [taylor]: Taking taylor expansion of 0 in k 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.717 * [backup-simplify]: Simplify (- 0) into 0 7.718 * [backup-simplify]: Simplify (+ 0 0) into 0 7.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.718 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.719 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 7.720 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.720 * [taylor]: Taking taylor expansion of 0 in k 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.723 * [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 7.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.724 * [backup-simplify]: Simplify (- 0) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.725 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 7.726 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.726 * [taylor]: Taking taylor expansion of 0 in k 7.726 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 7.727 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 7.727 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.727 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 7.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 7.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.727 * [taylor]: Taking taylor expansion of 0.5 in k 7.727 * [backup-simplify]: Simplify 0.5 into 0.5 7.727 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.727 * [taylor]: Taking taylor expansion of k in k 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.727 * [backup-simplify]: Simplify (/ 1 1) into 1 7.727 * [taylor]: Taking taylor expansion of 1.0 in k 7.727 * [backup-simplify]: Simplify 1.0 into 1.0 7.727 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 7.727 * [taylor]: Taking taylor expansion of (/ -1 n) in k 7.727 * [taylor]: Taking taylor expansion of -1 in k 7.727 * [backup-simplify]: Simplify -1 into -1 7.727 * [taylor]: Taking taylor expansion of n in k 7.728 * [backup-simplify]: Simplify n into n 7.728 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.728 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 7.728 * [backup-simplify]: Simplify (+ 1 0) into 1 7.728 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.728 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 7.728 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 7.728 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.728 * [taylor]: Taking taylor expansion of 0.5 in n 7.728 * [backup-simplify]: Simplify 0.5 into 0.5 7.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.729 * [taylor]: Taking taylor expansion of k in n 7.729 * [backup-simplify]: Simplify k into k 7.729 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.729 * [taylor]: Taking taylor expansion of 1.0 in n 7.729 * [backup-simplify]: Simplify 1.0 into 1.0 7.729 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.729 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.729 * [taylor]: Taking taylor expansion of -1 in n 7.729 * [backup-simplify]: Simplify -1 into -1 7.729 * [taylor]: Taking taylor expansion of n in n 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (/ -1 1) into -1 7.729 * [backup-simplify]: Simplify (log -1) into (log -1) 7.729 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.729 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.730 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.730 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.731 * [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)))) 7.731 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.731 * [taylor]: Taking taylor expansion of 0.5 in n 7.731 * [backup-simplify]: Simplify 0.5 into 0.5 7.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.731 * [taylor]: Taking taylor expansion of k in n 7.731 * [backup-simplify]: Simplify k into k 7.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.731 * [taylor]: Taking taylor expansion of 1.0 in n 7.731 * [backup-simplify]: Simplify 1.0 into 1.0 7.731 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.731 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.731 * [taylor]: Taking taylor expansion of -1 in n 7.731 * [backup-simplify]: Simplify -1 into -1 7.731 * [taylor]: Taking taylor expansion of n in n 7.731 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify 1 into 1 7.731 * [backup-simplify]: Simplify (/ -1 1) into -1 7.732 * [backup-simplify]: Simplify (log -1) into (log -1) 7.732 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.732 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.733 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.733 * [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)))) 7.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 7.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 7.733 * [taylor]: Taking taylor expansion of 0.5 in k 7.733 * [backup-simplify]: Simplify 0.5 into 0.5 7.733 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 7.733 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 7.733 * [taylor]: Taking taylor expansion of (log -1) in k 7.733 * [taylor]: Taking taylor expansion of -1 in k 7.733 * [backup-simplify]: Simplify -1 into -1 7.734 * [backup-simplify]: Simplify (log -1) into (log -1) 7.734 * [taylor]: Taking taylor expansion of (log n) in k 7.734 * [taylor]: Taking taylor expansion of n in k 7.734 * [backup-simplify]: Simplify n into n 7.734 * [backup-simplify]: Simplify (log n) into (log n) 7.734 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.734 * [taylor]: Taking taylor expansion of k in k 7.734 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify 1 into 1 7.734 * [backup-simplify]: Simplify (/ 1 1) into 1 7.734 * [taylor]: Taking taylor expansion of 1.0 in k 7.734 * [backup-simplify]: Simplify 1.0 into 1.0 7.734 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.734 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 7.735 * [backup-simplify]: Simplify (+ 1 0) into 1 7.735 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 7.735 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 7.736 * [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)))) 7.736 * [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)))) 7.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.739 * [backup-simplify]: Simplify (+ 0 0) into 0 7.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.740 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.741 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 7.742 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.742 * [taylor]: Taking taylor expansion of 0 in k 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.747 * [backup-simplify]: Simplify (+ 0 0) into 0 7.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.750 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 7.752 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.752 * [taylor]: Taking taylor expansion of 0 in k 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.759 * [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 7.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.760 * [backup-simplify]: Simplify (+ 0 0) into 0 7.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.763 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.764 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 7.766 * [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 7.766 * [taylor]: Taking taylor expansion of 0 in k 7.766 * [backup-simplify]: Simplify 0 into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 7.767 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.768 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 7.768 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 7.768 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.768 * [taylor]: Taking taylor expansion of 0.5 in k 7.768 * [backup-simplify]: Simplify 0.5 into 0.5 7.768 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.768 * [taylor]: Taking taylor expansion of 1.0 in k 7.768 * [backup-simplify]: Simplify 1.0 into 1.0 7.768 * [taylor]: Taking taylor expansion of k in k 7.768 * [backup-simplify]: Simplify 0 into 0 7.768 * [backup-simplify]: Simplify 1 into 1 7.768 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.768 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.768 * [taylor]: Taking taylor expansion of 2.0 in k 7.768 * [backup-simplify]: Simplify 2.0 into 2.0 7.768 * [taylor]: Taking taylor expansion of PI in k 7.768 * [backup-simplify]: Simplify PI into PI 7.769 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.770 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.770 * [backup-simplify]: Simplify (- 0) into 0 7.771 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.771 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.773 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.776 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.776 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.776 * [taylor]: Taking taylor expansion of 0.5 in k 7.776 * [backup-simplify]: Simplify 0.5 into 0.5 7.776 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.776 * [taylor]: Taking taylor expansion of 1.0 in k 7.776 * [backup-simplify]: Simplify 1.0 into 1.0 7.776 * [taylor]: Taking taylor expansion of k in k 7.776 * [backup-simplify]: Simplify 0 into 0 7.776 * [backup-simplify]: Simplify 1 into 1 7.776 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.776 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.776 * [taylor]: Taking taylor expansion of 2.0 in k 7.776 * [backup-simplify]: Simplify 2.0 into 2.0 7.776 * [taylor]: Taking taylor expansion of PI in k 7.776 * [backup-simplify]: Simplify PI into PI 7.777 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.778 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.778 * [backup-simplify]: Simplify (- 0) into 0 7.779 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.779 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.781 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.782 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.783 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 7.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.785 * [backup-simplify]: Simplify (- 1) into -1 7.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.786 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.788 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.802 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.806 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.807 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.808 * [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 7.809 * [backup-simplify]: Simplify (- 0) into 0 7.809 * [backup-simplify]: Simplify (+ 0 0) into 0 7.810 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.810 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.819 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.824 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.834 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 7.834 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 7.834 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 7.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.835 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.835 * [taylor]: Taking taylor expansion of 0.5 in k 7.835 * [backup-simplify]: Simplify 0.5 into 0.5 7.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.835 * [taylor]: Taking taylor expansion of 1.0 in k 7.835 * [backup-simplify]: Simplify 1.0 into 1.0 7.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.835 * [taylor]: Taking taylor expansion of k in k 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [backup-simplify]: Simplify (/ 1 1) into 1 7.835 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.835 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.835 * [taylor]: Taking taylor expansion of 2.0 in k 7.835 * [backup-simplify]: Simplify 2.0 into 2.0 7.835 * [taylor]: Taking taylor expansion of PI in k 7.835 * [backup-simplify]: Simplify PI into PI 7.835 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.836 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.836 * [backup-simplify]: Simplify (- 1) into -1 7.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.837 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.838 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.838 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.839 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.839 * [taylor]: Taking taylor expansion of 0.5 in k 7.839 * [backup-simplify]: Simplify 0.5 into 0.5 7.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.839 * [taylor]: Taking taylor expansion of 1.0 in k 7.839 * [backup-simplify]: Simplify 1.0 into 1.0 7.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.839 * [taylor]: Taking taylor expansion of k in k 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [backup-simplify]: Simplify (/ 1 1) into 1 7.839 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.839 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.839 * [taylor]: Taking taylor expansion of 2.0 in k 7.839 * [backup-simplify]: Simplify 2.0 into 2.0 7.839 * [taylor]: Taking taylor expansion of PI in k 7.839 * [backup-simplify]: Simplify PI into PI 7.839 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.840 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.840 * [backup-simplify]: Simplify (- 1) into -1 7.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.841 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.842 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.842 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.843 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 7.845 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 7.845 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 7.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.845 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.845 * [taylor]: Taking taylor expansion of 0.5 in k 7.845 * [backup-simplify]: Simplify 0.5 into 0.5 7.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.845 * [taylor]: Taking taylor expansion of k in k 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.845 * [taylor]: Taking taylor expansion of 1.0 in k 7.845 * [backup-simplify]: Simplify 1.0 into 1.0 7.845 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.845 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.845 * [taylor]: Taking taylor expansion of 2.0 in k 7.845 * [backup-simplify]: Simplify 2.0 into 2.0 7.845 * [taylor]: Taking taylor expansion of PI in k 7.845 * [backup-simplify]: Simplify PI into PI 7.846 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.846 * [backup-simplify]: Simplify (+ 1 0) into 1 7.847 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.848 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.848 * [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)))) 7.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.849 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.849 * [taylor]: Taking taylor expansion of 0.5 in k 7.849 * [backup-simplify]: Simplify 0.5 into 0.5 7.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.849 * [taylor]: Taking taylor expansion of k in k 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 1 into 1 7.849 * [backup-simplify]: Simplify (/ 1 1) into 1 7.849 * [taylor]: Taking taylor expansion of 1.0 in k 7.849 * [backup-simplify]: Simplify 1.0 into 1.0 7.849 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.849 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.849 * [taylor]: Taking taylor expansion of 2.0 in k 7.849 * [backup-simplify]: Simplify 2.0 into 2.0 7.849 * [taylor]: Taking taylor expansion of PI in k 7.849 * [backup-simplify]: Simplify PI into PI 7.850 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.850 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.850 * [backup-simplify]: Simplify (+ 1 0) into 1 7.851 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.852 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.852 * [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)))) 7.853 * [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)))) 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 7.854 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.855 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 7.855 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 7.855 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 7.855 * [taylor]: Taking taylor expansion of 1.0 in k 7.855 * [backup-simplify]: Simplify 1.0 into 1.0 7.855 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 7.855 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.855 * [taylor]: Taking taylor expansion of k in k 7.855 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify 1 into 1 7.855 * [backup-simplify]: Simplify (/ 1 1) into 1 7.855 * [backup-simplify]: Simplify (sqrt 0) into 0 7.856 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.856 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.856 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.856 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.856 * [taylor]: Taking taylor expansion of 0.5 in k 7.856 * [backup-simplify]: Simplify 0.5 into 0.5 7.856 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.856 * [taylor]: Taking taylor expansion of 1.0 in k 7.856 * [backup-simplify]: Simplify 1.0 into 1.0 7.856 * [taylor]: Taking taylor expansion of k in k 7.856 * [backup-simplify]: Simplify 0 into 0 7.856 * [backup-simplify]: Simplify 1 into 1 7.857 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.857 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.857 * [taylor]: Taking taylor expansion of 2.0 in k 7.857 * [backup-simplify]: Simplify 2.0 into 2.0 7.857 * [taylor]: Taking taylor expansion of PI in k 7.857 * [backup-simplify]: Simplify PI into PI 7.857 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.858 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.858 * [backup-simplify]: Simplify (- 0) into 0 7.859 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.859 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.861 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.864 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.864 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 7.864 * [taylor]: Taking taylor expansion of 1.0 in k 7.864 * [backup-simplify]: Simplify 1.0 into 1.0 7.864 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 7.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.864 * [taylor]: Taking taylor expansion of k in k 7.864 * [backup-simplify]: Simplify 0 into 0 7.864 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify (/ 1 1) into 1 7.865 * [backup-simplify]: Simplify (sqrt 0) into 0 7.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.867 * [taylor]: Taking taylor expansion of 0.5 in k 7.867 * [backup-simplify]: Simplify 0.5 into 0.5 7.867 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.867 * [taylor]: Taking taylor expansion of 1.0 in k 7.867 * [backup-simplify]: Simplify 1.0 into 1.0 7.867 * [taylor]: Taking taylor expansion of k in k 7.867 * [backup-simplify]: Simplify 0 into 0 7.867 * [backup-simplify]: Simplify 1 into 1 7.867 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.867 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.867 * [taylor]: Taking taylor expansion of 2.0 in k 7.867 * [backup-simplify]: Simplify 2.0 into 2.0 7.867 * [taylor]: Taking taylor expansion of PI in k 7.867 * [backup-simplify]: Simplify PI into PI 7.867 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.868 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.869 * [backup-simplify]: Simplify (- 0) into 0 7.869 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.870 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.872 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.874 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.875 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 7.876 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.879 * [backup-simplify]: Simplify (- 1) into -1 7.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.881 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.885 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.892 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.897 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.908 * [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))) 7.912 * [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))) 7.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.915 * [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 7.915 * [backup-simplify]: Simplify (- 0) into 0 7.915 * [backup-simplify]: Simplify (+ 0 0) into 0 7.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.917 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.933 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.937 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.957 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 7.974 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 7.985 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 7.986 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.989 * [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 7.989 * [backup-simplify]: Simplify (- 0) into 0 7.990 * [backup-simplify]: Simplify (+ 0 0) into 0 7.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 7.991 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.002 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.047 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.091 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.130 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.207 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.208 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.208 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.208 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.208 * [taylor]: Taking taylor expansion of 1.0 in k 8.208 * [backup-simplify]: Simplify 1.0 into 1.0 8.208 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.208 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.208 * [taylor]: Taking taylor expansion of k in k 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 1 into 1 8.208 * [backup-simplify]: Simplify (sqrt 0) into 0 8.210 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.210 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.210 * [taylor]: Taking taylor expansion of 0.5 in k 8.210 * [backup-simplify]: Simplify 0.5 into 0.5 8.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.210 * [taylor]: Taking taylor expansion of 1.0 in k 8.210 * [backup-simplify]: Simplify 1.0 into 1.0 8.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.210 * [taylor]: Taking taylor expansion of k in k 8.210 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify 1 into 1 8.211 * [backup-simplify]: Simplify (/ 1 1) into 1 8.211 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.211 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.211 * [taylor]: Taking taylor expansion of 2.0 in k 8.211 * [backup-simplify]: Simplify 2.0 into 2.0 8.211 * [taylor]: Taking taylor expansion of PI in k 8.211 * [backup-simplify]: Simplify PI into PI 8.212 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.213 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.213 * [backup-simplify]: Simplify (- 1) into -1 8.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.214 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.216 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.217 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.217 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.217 * [taylor]: Taking taylor expansion of 1.0 in k 8.217 * [backup-simplify]: Simplify 1.0 into 1.0 8.217 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.217 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.217 * [taylor]: Taking taylor expansion of k in k 8.217 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify 1 into 1 8.218 * [backup-simplify]: Simplify (sqrt 0) into 0 8.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.219 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.219 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.219 * [taylor]: Taking taylor expansion of 0.5 in k 8.220 * [backup-simplify]: Simplify 0.5 into 0.5 8.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.220 * [taylor]: Taking taylor expansion of 1.0 in k 8.220 * [backup-simplify]: Simplify 1.0 into 1.0 8.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.220 * [taylor]: Taking taylor expansion of k in k 8.220 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify 1 into 1 8.220 * [backup-simplify]: Simplify (/ 1 1) into 1 8.220 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.220 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.220 * [taylor]: Taking taylor expansion of 2.0 in k 8.220 * [backup-simplify]: Simplify 2.0 into 2.0 8.220 * [taylor]: Taking taylor expansion of PI in k 8.220 * [backup-simplify]: Simplify PI into PI 8.221 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.222 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.223 * [backup-simplify]: Simplify (- 1) into -1 8.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.223 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.225 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.227 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.228 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.228 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.228 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.231 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.231 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.233 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.236 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.237 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.243 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.244 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.247 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.247 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.247 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.247 * [taylor]: Taking taylor expansion of 1.0 in k 8.247 * [backup-simplify]: Simplify 1.0 into 1.0 8.247 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.247 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.247 * [taylor]: Taking taylor expansion of 0.5 in k 8.247 * [backup-simplify]: Simplify 0.5 into 0.5 8.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.248 * [taylor]: Taking taylor expansion of k in k 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [backup-simplify]: Simplify (/ 1 1) into 1 8.248 * [taylor]: Taking taylor expansion of 1.0 in k 8.248 * [backup-simplify]: Simplify 1.0 into 1.0 8.248 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.248 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.248 * [taylor]: Taking taylor expansion of 2.0 in k 8.248 * [backup-simplify]: Simplify 2.0 into 2.0 8.248 * [taylor]: Taking taylor expansion of PI in k 8.248 * [backup-simplify]: Simplify PI into PI 8.248 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.249 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.249 * [backup-simplify]: Simplify (+ 1 0) into 1 8.249 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.250 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.251 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.251 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.251 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.251 * [taylor]: Taking taylor expansion of -1 in k 8.251 * [backup-simplify]: Simplify -1 into -1 8.251 * [taylor]: Taking taylor expansion of k in k 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.252 * [backup-simplify]: Simplify (/ -1 1) into -1 8.252 * [backup-simplify]: Simplify (sqrt 0) into 0 8.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.253 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.253 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.253 * [taylor]: Taking taylor expansion of 1.0 in k 8.253 * [backup-simplify]: Simplify 1.0 into 1.0 8.253 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.254 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.254 * [taylor]: Taking taylor expansion of 0.5 in k 8.254 * [backup-simplify]: Simplify 0.5 into 0.5 8.254 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.254 * [taylor]: Taking taylor expansion of k in k 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify 1 into 1 8.254 * [backup-simplify]: Simplify (/ 1 1) into 1 8.254 * [taylor]: Taking taylor expansion of 1.0 in k 8.254 * [backup-simplify]: Simplify 1.0 into 1.0 8.254 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.254 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.254 * [taylor]: Taking taylor expansion of 2.0 in k 8.254 * [backup-simplify]: Simplify 2.0 into 2.0 8.254 * [taylor]: Taking taylor expansion of PI in k 8.254 * [backup-simplify]: Simplify PI into PI 8.254 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.255 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.255 * [backup-simplify]: Simplify (+ 1 0) into 1 8.256 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.257 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.258 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.258 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.258 * [taylor]: Taking taylor expansion of -1 in k 8.258 * [backup-simplify]: Simplify -1 into -1 8.258 * [taylor]: Taking taylor expansion of k in k 8.258 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify 1 into 1 8.258 * [backup-simplify]: Simplify (/ -1 1) into -1 8.259 * [backup-simplify]: Simplify (sqrt 0) into 0 8.260 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.261 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.263 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.264 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.271 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.273 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.274 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.279 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.281 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.282 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.292 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.292 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.292 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.292 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.292 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.292 * [taylor]: Taking taylor expansion of 1.0 in k 8.292 * [backup-simplify]: Simplify 1.0 into 1.0 8.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.292 * [taylor]: Taking taylor expansion of k in k 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [backup-simplify]: Simplify (/ 1 1) into 1 8.293 * [backup-simplify]: Simplify (sqrt 0) into 0 8.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.293 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.294 * [taylor]: Taking taylor expansion of 1.0 in k 8.294 * [backup-simplify]: Simplify 1.0 into 1.0 8.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.294 * [taylor]: Taking taylor expansion of k in k 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (/ 1 1) into 1 8.294 * [backup-simplify]: Simplify (sqrt 0) into 0 8.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.295 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.295 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.300 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.300 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.304 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.304 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.305 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.306 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.306 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.306 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.306 * [taylor]: Taking taylor expansion of 1.0 in k 8.306 * [backup-simplify]: Simplify 1.0 into 1.0 8.306 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.306 * [taylor]: Taking taylor expansion of k in k 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 1 into 1 8.306 * [backup-simplify]: Simplify (sqrt 0) into 0 8.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.308 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.308 * [taylor]: Taking taylor expansion of 1.0 in k 8.308 * [backup-simplify]: Simplify 1.0 into 1.0 8.308 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.308 * [taylor]: Taking taylor expansion of k in k 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 1 into 1 8.308 * [backup-simplify]: Simplify (sqrt 0) into 0 8.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.310 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.310 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.312 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.314 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.315 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.316 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.319 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.319 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.320 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.320 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.320 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.320 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.320 * [taylor]: Taking taylor expansion of 1.0 in k 8.321 * [backup-simplify]: Simplify 1.0 into 1.0 8.321 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.321 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.321 * [taylor]: Taking taylor expansion of -1 in k 8.321 * [backup-simplify]: Simplify -1 into -1 8.321 * [taylor]: Taking taylor expansion of k in k 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (/ -1 1) into -1 8.321 * [backup-simplify]: Simplify (sqrt 0) into 0 8.322 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.322 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.322 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.322 * [taylor]: Taking taylor expansion of 1.0 in k 8.322 * [backup-simplify]: Simplify 1.0 into 1.0 8.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.322 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.323 * [taylor]: Taking taylor expansion of -1 in k 8.323 * [backup-simplify]: Simplify -1 into -1 8.323 * [taylor]: Taking taylor expansion of k in k 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 1 into 1 8.323 * [backup-simplify]: Simplify (/ -1 1) into -1 8.323 * [backup-simplify]: Simplify (sqrt 0) into 0 8.324 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.324 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.329 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.329 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.335 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.335 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.336 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.336 * * * [progress]: simplifying candidates 8.338 * [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 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.342 * * [simplify]: Extracting # 0 : cost 0 8.343 * * [simplify]: Extracting # 1 : cost 0 8.343 * * [simplify]: Extracting # 2 : cost 0 8.343 * * [simplify]: Extracting # 3 : cost 0 8.344 * * [simplify]: Extracting # 4 : cost 0 8.344 * * [simplify]: Extracting # 5 : cost 0 8.344 * * [simplify]: Extracting # 6 : cost 0 8.345 * * [simplify]: Extracting # 7 : cost 0 8.345 * * [simplify]: Extracting # 8 : cost 0 8.346 * * [simplify]: Extracting # 9 : cost 0 8.347 * * [simplify]: Extracting # 10 : cost 0 8.348 * * [simplify]: Extracting # 11 : cost 0 8.349 * * [simplify]: Extracting # 12 : cost 0 8.350 * * [simplify]: Extracting # 13 : cost 0 8.351 * * [simplify]: Extracting # 14 : cost 0 8.352 * * [simplify]: Extracting # 15 : cost 0 8.353 * * [simplify]: Extracting # 16 : cost 0 8.354 * * [simplify]: Extracting # 17 : cost 0 8.355 * * [simplify]: Extracting # 18 : cost 0 8.356 * * [simplify]: Extracting # 19 : cost 0 8.357 * * [simplify]: iteration 0 : 325 enodes (cost 2550 ) 8.488 * * [simplify]: Extracting # 0 : cost 0 8.490 * * [simplify]: Extracting # 1 : cost 0 8.492 * * [simplify]: Extracting # 2 : cost 0 8.504 * * [simplify]: Extracting # 3 : cost 0 8.507 * * [simplify]: Extracting # 4 : cost 0 8.510 * * [simplify]: iteration 1 : 805 enodes (cost 2394 ) 8.919 * * [simplify]: Extracting # 0 : cost 0 8.925 * * [simplify]: Extracting # 1 : cost 0 8.932 * * [simplify]: Extracting # 2 : cost 0 8.938 * * [simplify]: Extracting # 3 : cost 0 8.941 * * [simplify]: Extracting # 4 : cost 0 8.944 * * [simplify]: iteration 2 : 2331 enodes (cost 2288 ) 9.879 * * [simplify]: Extracting # 0 : cost 0 9.891 * * [simplify]: Extracting # 1 : cost 0 9.914 * * [simplify]: Extracting # 2 : cost 0 9.926 * * [simplify]: Extracting # 3 : cost 0 9.933 * * [simplify]: Extracting # 4 : cost 0 9.940 * * [simplify]: iteration done: 5001 enodes (cost 2206 ) 9.941 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (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) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp 0.5) (* (- 1.0 k) (+ 0 (log n)))) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (pow k 2) (* (pow k 2) (log (* 2.0 PI))))) (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- k (* k (log (* 2.0 PI))))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0))))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (/ (pow k 3) +nan.0)))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (* +nan.0 (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 9.942 * * * [progress]: adding candidates to table 10.783 * * [progress]: iteration 3 / 4 10.783 * * * [progress]: picking best candidate 10.812 * * * * [pick]: Picked # 10.812 * * * [progress]: localizing error 10.838 * * * [progress]: generating rewritten candidates 10.838 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.846 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 10.856 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.961 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 10.989 * * * [progress]: generating series expansions 10.989 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.989 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 10.989 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 10.989 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.990 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.990 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.990 * [taylor]: Taking taylor expansion of 0.5 in k 10.990 * [backup-simplify]: Simplify 0.5 into 0.5 10.990 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.990 * [taylor]: Taking taylor expansion of 1.0 in k 10.990 * [backup-simplify]: Simplify 1.0 into 1.0 10.990 * [taylor]: Taking taylor expansion of k in k 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.990 * [taylor]: Taking taylor expansion of (log n) in k 10.990 * [taylor]: Taking taylor expansion of n in k 10.990 * [backup-simplify]: Simplify n into n 10.990 * [backup-simplify]: Simplify (log n) into (log n) 10.991 * [backup-simplify]: Simplify (- 0) into 0 10.991 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.992 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.992 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.992 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.992 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.997 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.997 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.997 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.998 * [taylor]: Taking taylor expansion of 0.5 in n 10.998 * [backup-simplify]: Simplify 0.5 into 0.5 10.998 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.998 * [taylor]: Taking taylor expansion of 1.0 in n 10.998 * [backup-simplify]: Simplify 1.0 into 1.0 10.998 * [taylor]: Taking taylor expansion of k in n 10.998 * [backup-simplify]: Simplify k into k 10.998 * [taylor]: Taking taylor expansion of (log n) in n 10.998 * [taylor]: Taking taylor expansion of n in n 10.998 * [backup-simplify]: Simplify 0 into 0 10.998 * [backup-simplify]: Simplify 1 into 1 10.999 * [backup-simplify]: Simplify (log 1) into 0 10.999 * [backup-simplify]: Simplify (- k) into (- k) 10.999 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.999 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.999 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.999 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.000 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.000 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.000 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.000 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.000 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.000 * [taylor]: Taking taylor expansion of 0.5 in n 11.000 * [backup-simplify]: Simplify 0.5 into 0.5 11.000 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.000 * [taylor]: Taking taylor expansion of 1.0 in n 11.000 * [backup-simplify]: Simplify 1.0 into 1.0 11.000 * [taylor]: Taking taylor expansion of k in n 11.000 * [backup-simplify]: Simplify k into k 11.000 * [taylor]: Taking taylor expansion of (log n) in n 11.000 * [taylor]: Taking taylor expansion of n in n 11.000 * [backup-simplify]: Simplify 0 into 0 11.000 * [backup-simplify]: Simplify 1 into 1 11.000 * [backup-simplify]: Simplify (log 1) into 0 11.000 * [backup-simplify]: Simplify (- k) into (- k) 11.001 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.001 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.001 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.001 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.001 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.002 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.002 * [taylor]: Taking taylor expansion of 0.5 in k 11.002 * [backup-simplify]: Simplify 0.5 into 0.5 11.002 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.002 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.002 * [taylor]: Taking taylor expansion of 1.0 in k 11.002 * [backup-simplify]: Simplify 1.0 into 1.0 11.002 * [taylor]: Taking taylor expansion of k in k 11.002 * [backup-simplify]: Simplify 0 into 0 11.002 * [backup-simplify]: Simplify 1 into 1 11.002 * [taylor]: Taking taylor expansion of (log n) in k 11.002 * [taylor]: Taking taylor expansion of n in k 11.002 * [backup-simplify]: Simplify n into n 11.002 * [backup-simplify]: Simplify (log n) into (log n) 11.002 * [backup-simplify]: Simplify (- 0) into 0 11.003 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.003 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.003 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.003 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.003 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.005 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.005 * [backup-simplify]: Simplify (- 0) into 0 11.005 * [backup-simplify]: Simplify (+ 0 0) into 0 11.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.007 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.008 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.008 * [taylor]: Taking taylor expansion of 0 in k 11.008 * [backup-simplify]: Simplify 0 into 0 11.008 * [backup-simplify]: Simplify 0 into 0 11.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.009 * [backup-simplify]: Simplify (- 1) into -1 11.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.010 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.011 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.011 * [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))) 11.011 * [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))) 11.015 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.015 * [backup-simplify]: Simplify (- 0) into 0 11.015 * [backup-simplify]: Simplify (+ 0 0) into 0 11.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.017 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.017 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.019 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.019 * [taylor]: Taking taylor expansion of 0 in k 11.019 * [backup-simplify]: Simplify 0 into 0 11.019 * [backup-simplify]: Simplify 0 into 0 11.019 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.022 * [backup-simplify]: Simplify (- 0) into 0 11.023 * [backup-simplify]: Simplify (+ 0 0) into 0 11.024 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.026 * [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))) 11.026 * [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))) 11.028 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.028 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.028 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.028 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.028 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.028 * [taylor]: Taking taylor expansion of 0.5 in k 11.028 * [backup-simplify]: Simplify 0.5 into 0.5 11.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.028 * [taylor]: Taking taylor expansion of 1.0 in k 11.029 * [backup-simplify]: Simplify 1.0 into 1.0 11.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.029 * [taylor]: Taking taylor expansion of k in k 11.029 * [backup-simplify]: Simplify 0 into 0 11.029 * [backup-simplify]: Simplify 1 into 1 11.029 * [backup-simplify]: Simplify (/ 1 1) into 1 11.029 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.029 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.029 * [taylor]: Taking taylor expansion of n in k 11.029 * [backup-simplify]: Simplify n into n 11.029 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.029 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.030 * [backup-simplify]: Simplify (- 1) into -1 11.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.031 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.031 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.031 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.031 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.031 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.031 * [taylor]: Taking taylor expansion of 0.5 in n 11.031 * [backup-simplify]: Simplify 0.5 into 0.5 11.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.031 * [taylor]: Taking taylor expansion of 1.0 in n 11.032 * [backup-simplify]: Simplify 1.0 into 1.0 11.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.032 * [taylor]: Taking taylor expansion of k in n 11.032 * [backup-simplify]: Simplify k into k 11.032 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.032 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.032 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.032 * [taylor]: Taking taylor expansion of n in n 11.032 * [backup-simplify]: Simplify 0 into 0 11.032 * [backup-simplify]: Simplify 1 into 1 11.032 * [backup-simplify]: Simplify (/ 1 1) into 1 11.033 * [backup-simplify]: Simplify (log 1) into 0 11.033 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.033 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.033 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.034 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.034 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.034 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.034 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.034 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.034 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.034 * [taylor]: Taking taylor expansion of 0.5 in n 11.034 * [backup-simplify]: Simplify 0.5 into 0.5 11.034 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.034 * [taylor]: Taking taylor expansion of 1.0 in n 11.034 * [backup-simplify]: Simplify 1.0 into 1.0 11.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.034 * [taylor]: Taking taylor expansion of k in n 11.034 * [backup-simplify]: Simplify k into k 11.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.034 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.034 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.034 * [taylor]: Taking taylor expansion of n in n 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 1 into 1 11.035 * [backup-simplify]: Simplify (/ 1 1) into 1 11.035 * [backup-simplify]: Simplify (log 1) into 0 11.035 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.036 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.036 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.036 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.037 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.037 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.037 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.037 * [taylor]: Taking taylor expansion of -0.5 in k 11.037 * [backup-simplify]: Simplify -0.5 into -0.5 11.037 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.037 * [taylor]: Taking taylor expansion of (log n) in k 11.037 * [taylor]: Taking taylor expansion of n in k 11.037 * [backup-simplify]: Simplify n into n 11.037 * [backup-simplify]: Simplify (log n) into (log n) 11.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.037 * [taylor]: Taking taylor expansion of 1.0 in k 11.037 * [backup-simplify]: Simplify 1.0 into 1.0 11.037 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.037 * [taylor]: Taking taylor expansion of k in k 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.038 * [backup-simplify]: Simplify (/ 1 1) into 1 11.038 * [backup-simplify]: Simplify (- 1) into -1 11.038 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.039 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.039 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.039 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.039 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.041 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.042 * [backup-simplify]: Simplify (- 0) into 0 11.042 * [backup-simplify]: Simplify (+ 0 0) into 0 11.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.043 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.043 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.043 * [taylor]: Taking taylor expansion of 0 in k 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.046 * [backup-simplify]: Simplify (- 0) into 0 11.046 * [backup-simplify]: Simplify (+ 0 0) into 0 11.046 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.047 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.048 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.048 * [taylor]: Taking taylor expansion of 0 in k 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify 0 into 0 11.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.051 * [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 11.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.052 * [backup-simplify]: Simplify (- 0) into 0 11.052 * [backup-simplify]: Simplify (+ 0 0) into 0 11.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.054 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.055 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.055 * [taylor]: Taking taylor expansion of 0 in k 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.055 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.055 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.055 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.055 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.055 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.055 * [taylor]: Taking taylor expansion of 0.5 in k 11.055 * [backup-simplify]: Simplify 0.5 into 0.5 11.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.055 * [taylor]: Taking taylor expansion of k in k 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify 1 into 1 11.056 * [backup-simplify]: Simplify (/ 1 1) into 1 11.056 * [taylor]: Taking taylor expansion of 1.0 in k 11.056 * [backup-simplify]: Simplify 1.0 into 1.0 11.056 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.056 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.056 * [taylor]: Taking taylor expansion of -1 in k 11.056 * [backup-simplify]: Simplify -1 into -1 11.056 * [taylor]: Taking taylor expansion of n in k 11.056 * [backup-simplify]: Simplify n into n 11.056 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.056 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.056 * [backup-simplify]: Simplify (+ 1 0) into 1 11.056 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.057 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.057 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.057 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.057 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.057 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.057 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.057 * [taylor]: Taking taylor expansion of 0.5 in n 11.057 * [backup-simplify]: Simplify 0.5 into 0.5 11.057 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.057 * [taylor]: Taking taylor expansion of k in n 11.057 * [backup-simplify]: Simplify k into k 11.057 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.057 * [taylor]: Taking taylor expansion of 1.0 in n 11.057 * [backup-simplify]: Simplify 1.0 into 1.0 11.057 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.057 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.057 * [taylor]: Taking taylor expansion of -1 in n 11.057 * [backup-simplify]: Simplify -1 into -1 11.057 * [taylor]: Taking taylor expansion of n in n 11.057 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify 1 into 1 11.057 * [backup-simplify]: Simplify (/ -1 1) into -1 11.058 * [backup-simplify]: Simplify (log -1) into (log -1) 11.058 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.058 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.058 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.059 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.059 * [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)))) 11.059 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.059 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.059 * [taylor]: Taking taylor expansion of 0.5 in n 11.059 * [backup-simplify]: Simplify 0.5 into 0.5 11.059 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.059 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.059 * [taylor]: Taking taylor expansion of k in n 11.059 * [backup-simplify]: Simplify k into k 11.059 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.059 * [taylor]: Taking taylor expansion of 1.0 in n 11.059 * [backup-simplify]: Simplify 1.0 into 1.0 11.059 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.059 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.059 * [taylor]: Taking taylor expansion of -1 in n 11.059 * [backup-simplify]: Simplify -1 into -1 11.059 * [taylor]: Taking taylor expansion of n in n 11.059 * [backup-simplify]: Simplify 0 into 0 11.059 * [backup-simplify]: Simplify 1 into 1 11.060 * [backup-simplify]: Simplify (/ -1 1) into -1 11.060 * [backup-simplify]: Simplify (log -1) into (log -1) 11.060 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.060 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.061 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.061 * [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)))) 11.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.061 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.061 * [taylor]: Taking taylor expansion of 0.5 in k 11.061 * [backup-simplify]: Simplify 0.5 into 0.5 11.061 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.061 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.061 * [taylor]: Taking taylor expansion of (log -1) in k 11.061 * [taylor]: Taking taylor expansion of -1 in k 11.061 * [backup-simplify]: Simplify -1 into -1 11.062 * [backup-simplify]: Simplify (log -1) into (log -1) 11.062 * [taylor]: Taking taylor expansion of (log n) in k 11.062 * [taylor]: Taking taylor expansion of n in k 11.062 * [backup-simplify]: Simplify n into n 11.062 * [backup-simplify]: Simplify (log n) into (log n) 11.062 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.062 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.062 * [taylor]: Taking taylor expansion of k in k 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [backup-simplify]: Simplify (/ 1 1) into 1 11.062 * [taylor]: Taking taylor expansion of 1.0 in k 11.062 * [backup-simplify]: Simplify 1.0 into 1.0 11.062 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.063 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.063 * [backup-simplify]: Simplify (+ 1 0) into 1 11.063 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.063 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.064 * [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)))) 11.064 * [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)))) 11.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.066 * [backup-simplify]: Simplify (+ 0 0) into 0 11.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.067 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.068 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.068 * [taylor]: Taking taylor expansion of 0 in k 11.068 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify 0 into 0 11.068 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.071 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.072 * [backup-simplify]: Simplify (+ 0 0) into 0 11.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.074 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.076 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.076 * [taylor]: Taking taylor expansion of 0 in k 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.083 * [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 11.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.084 * [backup-simplify]: Simplify (+ 0 0) into 0 11.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.086 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.087 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.090 * [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 11.090 * [taylor]: Taking taylor expansion of 0 in k 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 0 into 0 11.091 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.091 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 11.091 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.091 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.091 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.091 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.091 * [taylor]: Taking taylor expansion of 0.5 in k 11.091 * [backup-simplify]: Simplify 0.5 into 0.5 11.091 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.091 * [taylor]: Taking taylor expansion of 1.0 in k 11.092 * [backup-simplify]: Simplify 1.0 into 1.0 11.092 * [taylor]: Taking taylor expansion of k in k 11.092 * [backup-simplify]: Simplify 0 into 0 11.092 * [backup-simplify]: Simplify 1 into 1 11.092 * [taylor]: Taking taylor expansion of (log PI) in k 11.092 * [taylor]: Taking taylor expansion of PI in k 11.092 * [backup-simplify]: Simplify PI into PI 11.092 * [backup-simplify]: Simplify (log PI) into (log PI) 11.093 * [backup-simplify]: Simplify (- 0) into 0 11.093 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.094 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.095 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.096 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.096 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.096 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.097 * [taylor]: Taking taylor expansion of 0.5 in k 11.097 * [backup-simplify]: Simplify 0.5 into 0.5 11.097 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.097 * [taylor]: Taking taylor expansion of 1.0 in k 11.097 * [backup-simplify]: Simplify 1.0 into 1.0 11.097 * [taylor]: Taking taylor expansion of k in k 11.097 * [backup-simplify]: Simplify 0 into 0 11.097 * [backup-simplify]: Simplify 1 into 1 11.097 * [taylor]: Taking taylor expansion of (log PI) in k 11.097 * [taylor]: Taking taylor expansion of PI in k 11.097 * [backup-simplify]: Simplify PI into PI 11.097 * [backup-simplify]: Simplify (log PI) into (log PI) 11.098 * [backup-simplify]: Simplify (- 0) into 0 11.098 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.098 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.099 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.101 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.102 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.103 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.104 * [backup-simplify]: Simplify (- 1) into -1 11.104 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.105 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.117 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.121 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.125 * [backup-simplify]: Simplify (- 0) into 0 11.125 * [backup-simplify]: Simplify (+ 0 0) into 0 11.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.143 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.145 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.151 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 11.151 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.151 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.151 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.151 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.151 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.151 * [taylor]: Taking taylor expansion of 0.5 in k 11.151 * [backup-simplify]: Simplify 0.5 into 0.5 11.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.151 * [taylor]: Taking taylor expansion of 1.0 in k 11.151 * [backup-simplify]: Simplify 1.0 into 1.0 11.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.151 * [taylor]: Taking taylor expansion of k in k 11.151 * [backup-simplify]: Simplify 0 into 0 11.151 * [backup-simplify]: Simplify 1 into 1 11.152 * [backup-simplify]: Simplify (/ 1 1) into 1 11.152 * [taylor]: Taking taylor expansion of (log PI) in k 11.152 * [taylor]: Taking taylor expansion of PI in k 11.152 * [backup-simplify]: Simplify PI into PI 11.152 * [backup-simplify]: Simplify (log PI) into (log PI) 11.152 * [backup-simplify]: Simplify (- 1) into -1 11.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.153 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.153 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.154 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.154 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.154 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.154 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.154 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.154 * [taylor]: Taking taylor expansion of 0.5 in k 11.154 * [backup-simplify]: Simplify 0.5 into 0.5 11.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.154 * [taylor]: Taking taylor expansion of 1.0 in k 11.154 * [backup-simplify]: Simplify 1.0 into 1.0 11.154 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.154 * [taylor]: Taking taylor expansion of k in k 11.154 * [backup-simplify]: Simplify 0 into 0 11.154 * [backup-simplify]: Simplify 1 into 1 11.154 * [backup-simplify]: Simplify (/ 1 1) into 1 11.154 * [taylor]: Taking taylor expansion of (log PI) in k 11.154 * [taylor]: Taking taylor expansion of PI in k 11.154 * [backup-simplify]: Simplify PI into PI 11.155 * [backup-simplify]: Simplify (log PI) into (log PI) 11.155 * [backup-simplify]: Simplify (- 1) into -1 11.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.155 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.156 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.156 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.158 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.158 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.158 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.158 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.158 * [taylor]: Taking taylor expansion of 0.5 in k 11.158 * [backup-simplify]: Simplify 0.5 into 0.5 11.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.158 * [taylor]: Taking taylor expansion of k in k 11.158 * [backup-simplify]: Simplify 0 into 0 11.158 * [backup-simplify]: Simplify 1 into 1 11.158 * [backup-simplify]: Simplify (/ 1 1) into 1 11.158 * [taylor]: Taking taylor expansion of 1.0 in k 11.158 * [backup-simplify]: Simplify 1.0 into 1.0 11.158 * [taylor]: Taking taylor expansion of (log PI) in k 11.158 * [taylor]: Taking taylor expansion of PI in k 11.158 * [backup-simplify]: Simplify PI into PI 11.158 * [backup-simplify]: Simplify (log PI) into (log PI) 11.159 * [backup-simplify]: Simplify (+ 1 0) into 1 11.159 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.160 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.160 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.160 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.160 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.160 * [taylor]: Taking taylor expansion of 0.5 in k 11.160 * [backup-simplify]: Simplify 0.5 into 0.5 11.160 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.160 * [taylor]: Taking taylor expansion of k in k 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.161 * [backup-simplify]: Simplify (/ 1 1) into 1 11.161 * [taylor]: Taking taylor expansion of 1.0 in k 11.161 * [backup-simplify]: Simplify 1.0 into 1.0 11.161 * [taylor]: Taking taylor expansion of (log PI) in k 11.161 * [taylor]: Taking taylor expansion of PI in k 11.161 * [backup-simplify]: Simplify PI into PI 11.161 * [backup-simplify]: Simplify (log PI) into (log PI) 11.161 * [backup-simplify]: Simplify (+ 1 0) into 1 11.162 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.162 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.163 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.163 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.163 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.164 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.164 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 11.164 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 11.164 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.164 * [taylor]: Taking taylor expansion of 1.0 in k 11.164 * [backup-simplify]: Simplify 1.0 into 1.0 11.164 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.164 * [taylor]: Taking taylor expansion of k in k 11.164 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify 1 into 1 11.165 * [backup-simplify]: Simplify (/ 1 1) into 1 11.165 * [backup-simplify]: Simplify (sqrt 0) into 0 11.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.166 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.166 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.166 * [taylor]: Taking taylor expansion of 0.5 in k 11.166 * [backup-simplify]: Simplify 0.5 into 0.5 11.166 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.166 * [taylor]: Taking taylor expansion of 1.0 in k 11.166 * [backup-simplify]: Simplify 1.0 into 1.0 11.166 * [taylor]: Taking taylor expansion of k in k 11.166 * [backup-simplify]: Simplify 0 into 0 11.166 * [backup-simplify]: Simplify 1 into 1 11.166 * [taylor]: Taking taylor expansion of (log PI) in k 11.166 * [taylor]: Taking taylor expansion of PI in k 11.166 * [backup-simplify]: Simplify PI into PI 11.167 * [backup-simplify]: Simplify (log PI) into (log PI) 11.167 * [backup-simplify]: Simplify (- 0) into 0 11.167 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.167 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.168 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.169 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.169 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.169 * [taylor]: Taking taylor expansion of 0.5 in k 11.169 * [backup-simplify]: Simplify 0.5 into 0.5 11.169 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.169 * [taylor]: Taking taylor expansion of 1.0 in k 11.169 * [backup-simplify]: Simplify 1.0 into 1.0 11.169 * [taylor]: Taking taylor expansion of k in k 11.169 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify 1 into 1 11.169 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.169 * [taylor]: Taking taylor expansion of 2.0 in k 11.169 * [backup-simplify]: Simplify 2.0 into 2.0 11.170 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.170 * [backup-simplify]: Simplify (- 0) into 0 11.170 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.170 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.171 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.172 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.172 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.172 * [taylor]: Taking taylor expansion of 1.0 in k 11.172 * [backup-simplify]: Simplify 1.0 into 1.0 11.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.172 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.172 * [taylor]: Taking taylor expansion of k in k 11.172 * [backup-simplify]: Simplify 0 into 0 11.172 * [backup-simplify]: Simplify 1 into 1 11.172 * [backup-simplify]: Simplify (/ 1 1) into 1 11.173 * [backup-simplify]: Simplify (sqrt 0) into 0 11.173 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.173 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.173 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.173 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.173 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.173 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.173 * [taylor]: Taking taylor expansion of 0.5 in k 11.173 * [backup-simplify]: Simplify 0.5 into 0.5 11.173 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.173 * [taylor]: Taking taylor expansion of 1.0 in k 11.173 * [backup-simplify]: Simplify 1.0 into 1.0 11.173 * [taylor]: Taking taylor expansion of k in k 11.174 * [backup-simplify]: Simplify 0 into 0 11.174 * [backup-simplify]: Simplify 1 into 1 11.174 * [taylor]: Taking taylor expansion of (log PI) in k 11.174 * [taylor]: Taking taylor expansion of PI in k 11.174 * [backup-simplify]: Simplify PI into PI 11.174 * [backup-simplify]: Simplify (log PI) into (log PI) 11.174 * [backup-simplify]: Simplify (- 0) into 0 11.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.175 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.175 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.176 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.176 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.176 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.176 * [taylor]: Taking taylor expansion of 0.5 in k 11.176 * [backup-simplify]: Simplify 0.5 into 0.5 11.176 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.176 * [taylor]: Taking taylor expansion of 1.0 in k 11.176 * [backup-simplify]: Simplify 1.0 into 1.0 11.176 * [taylor]: Taking taylor expansion of k in k 11.176 * [backup-simplify]: Simplify 0 into 0 11.176 * [backup-simplify]: Simplify 1 into 1 11.176 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.176 * [taylor]: Taking taylor expansion of 2.0 in k 11.176 * [backup-simplify]: Simplify 2.0 into 2.0 11.177 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.177 * [backup-simplify]: Simplify (- 0) into 0 11.177 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.177 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.178 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.179 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.180 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 11.181 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 11.181 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.182 * [backup-simplify]: Simplify (- 1) into -1 11.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.183 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.194 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 11.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.196 * [backup-simplify]: Simplify (- 1) into -1 11.197 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.198 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.211 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.226 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 11.238 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.247 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.250 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.251 * [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 11.252 * [backup-simplify]: Simplify (- 0) into 0 11.252 * [backup-simplify]: Simplify (+ 0 0) into 0 11.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.266 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 11.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.268 * [backup-simplify]: Simplify (- 0) into 0 11.268 * [backup-simplify]: Simplify (+ 0 0) into 0 11.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.279 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.313 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 11.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.317 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.349 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 11.386 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 11.418 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 11.425 * [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 11.425 * [backup-simplify]: Simplify (- 0) into 0 11.426 * [backup-simplify]: Simplify (+ 0 0) into 0 11.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.437 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 11.441 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 11.441 * [backup-simplify]: Simplify (- 0) into 0 11.441 * [backup-simplify]: Simplify (+ 0 0) into 0 11.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 11.452 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 11.504 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 11.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.595 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 11.720 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 11.815 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 11.942 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 11.943 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 11.943 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 11.943 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 11.943 * [taylor]: Taking taylor expansion of 1.0 in k 11.943 * [backup-simplify]: Simplify 1.0 into 1.0 11.943 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 11.943 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.943 * [taylor]: Taking taylor expansion of k in k 11.943 * [backup-simplify]: Simplify 0 into 0 11.943 * [backup-simplify]: Simplify 1 into 1 11.943 * [backup-simplify]: Simplify (sqrt 0) into 0 11.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.945 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 11.945 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.945 * [taylor]: Taking taylor expansion of 0.5 in k 11.945 * [backup-simplify]: Simplify 0.5 into 0.5 11.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.945 * [taylor]: Taking taylor expansion of 1.0 in k 11.945 * [backup-simplify]: Simplify 1.0 into 1.0 11.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.945 * [taylor]: Taking taylor expansion of k in k 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (/ 1 1) into 1 11.946 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.946 * [taylor]: Taking taylor expansion of 2.0 in k 11.946 * [backup-simplify]: Simplify 2.0 into 2.0 11.946 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.947 * [backup-simplify]: Simplify (- 1) into -1 11.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.947 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.948 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.949 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 11.949 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.949 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.949 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.949 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.949 * [taylor]: Taking taylor expansion of 0.5 in k 11.949 * [backup-simplify]: Simplify 0.5 into 0.5 11.949 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.949 * [taylor]: Taking taylor expansion of 1.0 in k 11.949 * [backup-simplify]: Simplify 1.0 into 1.0 11.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.949 * [taylor]: Taking taylor expansion of k in k 11.949 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify 1 into 1 11.950 * [backup-simplify]: Simplify (/ 1 1) into 1 11.950 * [taylor]: Taking taylor expansion of (log PI) in k 11.950 * [taylor]: Taking taylor expansion of PI in k 11.950 * [backup-simplify]: Simplify PI into PI 11.950 * [backup-simplify]: Simplify (log PI) into (log PI) 11.950 * [backup-simplify]: Simplify (- 1) into -1 11.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.951 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.952 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.953 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.953 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 11.953 * [taylor]: Taking taylor expansion of 1.0 in k 11.953 * [backup-simplify]: Simplify 1.0 into 1.0 11.953 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 11.953 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.953 * [taylor]: Taking taylor expansion of k in k 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [backup-simplify]: Simplify 1 into 1 11.954 * [backup-simplify]: Simplify (sqrt 0) into 0 11.955 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.955 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 11.955 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.955 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.955 * [taylor]: Taking taylor expansion of 0.5 in k 11.955 * [backup-simplify]: Simplify 0.5 into 0.5 11.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.955 * [taylor]: Taking taylor expansion of 1.0 in k 11.955 * [backup-simplify]: Simplify 1.0 into 1.0 11.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.955 * [taylor]: Taking taylor expansion of k in k 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 1 into 1 11.956 * [backup-simplify]: Simplify (/ 1 1) into 1 11.956 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.956 * [taylor]: Taking taylor expansion of 2.0 in k 11.956 * [backup-simplify]: Simplify 2.0 into 2.0 11.956 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.957 * [backup-simplify]: Simplify (- 1) into -1 11.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.957 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.958 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.959 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 11.959 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.959 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.959 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.959 * [taylor]: Taking taylor expansion of 0.5 in k 11.959 * [backup-simplify]: Simplify 0.5 into 0.5 11.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.959 * [taylor]: Taking taylor expansion of 1.0 in k 11.959 * [backup-simplify]: Simplify 1.0 into 1.0 11.959 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.959 * [taylor]: Taking taylor expansion of k in k 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [backup-simplify]: Simplify (/ 1 1) into 1 11.959 * [taylor]: Taking taylor expansion of (log PI) in k 11.959 * [taylor]: Taking taylor expansion of PI in k 11.959 * [backup-simplify]: Simplify PI into PI 11.960 * [backup-simplify]: Simplify (log PI) into (log PI) 11.960 * [backup-simplify]: Simplify (- 1) into -1 11.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.961 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.962 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.962 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.963 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 11.964 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 11.965 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.965 * [backup-simplify]: Simplify 0 into 0 11.966 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 11.967 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.968 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.969 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.971 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 11.973 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.978 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.979 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.981 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 11.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.990 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.991 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 11.995 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 11.996 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 11.996 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 11.996 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 11.996 * [taylor]: Taking taylor expansion of 1.0 in k 11.996 * [backup-simplify]: Simplify 1.0 into 1.0 11.996 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 11.996 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 11.996 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.996 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.996 * [taylor]: Taking taylor expansion of 0.5 in k 11.996 * [backup-simplify]: Simplify 0.5 into 0.5 11.996 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.996 * [taylor]: Taking taylor expansion of k in k 11.996 * [backup-simplify]: Simplify 0 into 0 11.996 * [backup-simplify]: Simplify 1 into 1 11.997 * [backup-simplify]: Simplify (/ 1 1) into 1 11.997 * [taylor]: Taking taylor expansion of 1.0 in k 11.997 * [backup-simplify]: Simplify 1.0 into 1.0 11.997 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.997 * [taylor]: Taking taylor expansion of 2.0 in k 11.997 * [backup-simplify]: Simplify 2.0 into 2.0 11.997 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.998 * [backup-simplify]: Simplify (+ 1 0) into 1 11.998 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.999 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.999 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.000 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.000 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.000 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.000 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.000 * [taylor]: Taking taylor expansion of 0.5 in k 12.000 * [backup-simplify]: Simplify 0.5 into 0.5 12.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.000 * [taylor]: Taking taylor expansion of k in k 12.000 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify 1 into 1 12.000 * [backup-simplify]: Simplify (/ 1 1) into 1 12.000 * [taylor]: Taking taylor expansion of 1.0 in k 12.000 * [backup-simplify]: Simplify 1.0 into 1.0 12.000 * [taylor]: Taking taylor expansion of (log PI) in k 12.000 * [taylor]: Taking taylor expansion of PI in k 12.000 * [backup-simplify]: Simplify PI into PI 12.001 * [backup-simplify]: Simplify (log PI) into (log PI) 12.001 * [backup-simplify]: Simplify (+ 1 0) into 1 12.001 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.002 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.003 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.003 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.003 * [taylor]: Taking taylor expansion of -1 in k 12.003 * [backup-simplify]: Simplify -1 into -1 12.003 * [taylor]: Taking taylor expansion of k in k 12.003 * [backup-simplify]: Simplify 0 into 0 12.003 * [backup-simplify]: Simplify 1 into 1 12.003 * [backup-simplify]: Simplify (/ -1 1) into -1 12.004 * [backup-simplify]: Simplify (sqrt 0) into 0 12.005 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.006 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.007 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.007 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.007 * [taylor]: Taking taylor expansion of 1.0 in k 12.007 * [backup-simplify]: Simplify 1.0 into 1.0 12.007 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.007 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.007 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.007 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.007 * [taylor]: Taking taylor expansion of 0.5 in k 12.007 * [backup-simplify]: Simplify 0.5 into 0.5 12.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.007 * [taylor]: Taking taylor expansion of k in k 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (/ 1 1) into 1 12.008 * [taylor]: Taking taylor expansion of 1.0 in k 12.008 * [backup-simplify]: Simplify 1.0 into 1.0 12.008 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.008 * [taylor]: Taking taylor expansion of 2.0 in k 12.008 * [backup-simplify]: Simplify 2.0 into 2.0 12.008 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.008 * [backup-simplify]: Simplify (+ 1 0) into 1 12.009 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.010 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.010 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.010 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.010 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.010 * [taylor]: Taking taylor expansion of 0.5 in k 12.010 * [backup-simplify]: Simplify 0.5 into 0.5 12.010 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.010 * [taylor]: Taking taylor expansion of k in k 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 1 into 1 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [taylor]: Taking taylor expansion of 1.0 in k 12.011 * [backup-simplify]: Simplify 1.0 into 1.0 12.011 * [taylor]: Taking taylor expansion of (log PI) in k 12.011 * [taylor]: Taking taylor expansion of PI in k 12.011 * [backup-simplify]: Simplify PI into PI 12.011 * [backup-simplify]: Simplify (log PI) into (log PI) 12.012 * [backup-simplify]: Simplify (+ 1 0) into 1 12.012 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.013 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.013 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.014 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.014 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.014 * [taylor]: Taking taylor expansion of -1 in k 12.014 * [backup-simplify]: Simplify -1 into -1 12.014 * [taylor]: Taking taylor expansion of k in k 12.014 * [backup-simplify]: Simplify 0 into 0 12.014 * [backup-simplify]: Simplify 1 into 1 12.014 * [backup-simplify]: Simplify (/ -1 1) into -1 12.014 * [backup-simplify]: Simplify (sqrt 0) into 0 12.016 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.017 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.018 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.019 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.020 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.021 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.024 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.026 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.028 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.030 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.031 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.039 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.043 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.044 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.055 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.055 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.055 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.055 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.055 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.055 * [taylor]: Taking taylor expansion of 1.0 in k 12.055 * [backup-simplify]: Simplify 1.0 into 1.0 12.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.055 * [taylor]: Taking taylor expansion of k in k 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.056 * [backup-simplify]: Simplify (/ 1 1) into 1 12.056 * [backup-simplify]: Simplify (sqrt 0) into 0 12.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.057 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.057 * [taylor]: Taking taylor expansion of 1.0 in k 12.057 * [backup-simplify]: Simplify 1.0 into 1.0 12.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.057 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.057 * [taylor]: Taking taylor expansion of k in k 12.057 * [backup-simplify]: Simplify 0 into 0 12.057 * [backup-simplify]: Simplify 1 into 1 12.057 * [backup-simplify]: Simplify (/ 1 1) into 1 12.057 * [backup-simplify]: Simplify (sqrt 0) into 0 12.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.058 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.058 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.062 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.063 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.067 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.069 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.069 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.069 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.069 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.069 * [taylor]: Taking taylor expansion of 1.0 in k 12.069 * [backup-simplify]: Simplify 1.0 into 1.0 12.069 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.069 * [taylor]: Taking taylor expansion of k in k 12.069 * [backup-simplify]: Simplify 0 into 0 12.069 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (sqrt 0) into 0 12.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.070 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.070 * [taylor]: Taking taylor expansion of 1.0 in k 12.070 * [backup-simplify]: Simplify 1.0 into 1.0 12.070 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.070 * [taylor]: Taking taylor expansion of k in k 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify 1 into 1 12.070 * [backup-simplify]: Simplify (sqrt 0) into 0 12.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.071 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.073 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.075 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.077 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.084 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.084 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.086 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.086 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.086 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.086 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.086 * [taylor]: Taking taylor expansion of 1.0 in k 12.086 * [backup-simplify]: Simplify 1.0 into 1.0 12.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.086 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.086 * [taylor]: Taking taylor expansion of -1 in k 12.086 * [backup-simplify]: Simplify -1 into -1 12.086 * [taylor]: Taking taylor expansion of k in k 12.086 * [backup-simplify]: Simplify 0 into 0 12.086 * [backup-simplify]: Simplify 1 into 1 12.087 * [backup-simplify]: Simplify (/ -1 1) into -1 12.087 * [backup-simplify]: Simplify (sqrt 0) into 0 12.089 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.089 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.089 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.089 * [taylor]: Taking taylor expansion of 1.0 in k 12.089 * [backup-simplify]: Simplify 1.0 into 1.0 12.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.089 * [taylor]: Taking taylor expansion of -1 in k 12.089 * [backup-simplify]: Simplify -1 into -1 12.089 * [taylor]: Taking taylor expansion of k in k 12.089 * [backup-simplify]: Simplify 0 into 0 12.089 * [backup-simplify]: Simplify 1 into 1 12.090 * [backup-simplify]: Simplify (/ -1 1) into -1 12.090 * [backup-simplify]: Simplify (sqrt 0) into 0 12.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.092 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.092 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.096 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.098 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.099 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.107 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.107 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.108 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.108 * * * [progress]: simplifying candidates 12.111 * [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)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt 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))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 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2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.116 * * [simplify]: Extracting # 0 : cost 0 12.116 * * [simplify]: Extracting # 1 : cost 0 12.117 * * [simplify]: Extracting # 2 : cost 0 12.117 * * [simplify]: Extracting # 3 : cost 0 12.118 * * [simplify]: Extracting # 4 : cost 0 12.118 * * [simplify]: Extracting # 5 : cost 0 12.119 * * [simplify]: Extracting # 6 : cost 0 12.119 * * [simplify]: Extracting # 7 : cost 0 12.120 * * [simplify]: Extracting # 8 : cost 0 12.120 * * [simplify]: Extracting # 9 : cost 0 12.121 * * [simplify]: Extracting # 10 : cost 0 12.121 * * [simplify]: Extracting # 11 : cost 0 12.122 * * [simplify]: Extracting # 12 : cost 0 12.122 * * [simplify]: Extracting # 13 : cost 0 12.123 * * [simplify]: Extracting # 14 : cost 0 12.123 * * [simplify]: Extracting # 15 : cost 0 12.124 * * [simplify]: Extracting # 16 : cost 0 12.125 * * [simplify]: Extracting # 17 : cost 0 12.125 * * [simplify]: Extracting # 18 : cost 0 12.126 * * [simplify]: Extracting # 19 : cost 0 12.126 * * [simplify]: Extracting # 20 : cost 0 12.127 * * [simplify]: Extracting # 21 : cost 0 12.127 * * [simplify]: Extracting # 22 : cost 0 12.128 * * [simplify]: Extracting # 23 : cost 0 12.128 * * [simplify]: Extracting # 24 : cost 0 12.129 * * [simplify]: Extracting # 25 : cost 0 12.129 * * [simplify]: Extracting # 26 : cost 0 12.130 * * [simplify]: Extracting # 27 : cost 0 12.131 * * [simplify]: Extracting # 28 : cost 0 12.131 * * [simplify]: Extracting # 29 : cost 0 12.132 * * [simplify]: Extracting # 30 : cost 0 12.132 * * [simplify]: Extracting # 31 : cost 0 12.133 * * [simplify]: Extracting # 32 : cost 0 12.141 * * [simplify]: iteration 0 : 376 enodes (cost 3141 ) 12.295 * * [simplify]: Extracting # 0 : cost 0 12.298 * * [simplify]: Extracting # 1 : cost 0 12.301 * * [simplify]: Extracting # 2 : cost 0 12.304 * * [simplify]: Extracting # 3 : cost 0 12.307 * * [simplify]: Extracting # 4 : cost 0 12.310 * * [simplify]: Extracting # 5 : cost 0 12.312 * * [simplify]: Extracting # 6 : cost 0 12.315 * * [simplify]: iteration 1 : 1009 enodes (cost 2818 ) 12.875 * * [simplify]: Extracting # 0 : cost 0 12.883 * * [simplify]: Extracting # 1 : cost 0 12.892 * * [simplify]: Extracting # 2 : cost 0 12.900 * * [simplify]: Extracting # 3 : cost 0 12.909 * * [simplify]: Extracting # 4 : cost 0 12.917 * * [simplify]: Extracting # 5 : cost 0 12.926 * * [simplify]: iteration 2 : 3212 enodes (cost 2638 ) 14.104 * * [simplify]: Extracting # 0 : cost 0 14.117 * * [simplify]: Extracting # 1 : cost 0 14.141 * * [simplify]: Extracting # 2 : cost 0 14.154 * * [simplify]: Extracting # 3 : cost 0 14.167 * * [simplify]: Extracting # 4 : cost 0 14.181 * * [simplify]: iteration done: 5001 enodes (cost 2624 ) 14.184 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 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(/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))) (+ (/ (* (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (- +nan.0)) (* k k)) (* +nan.0 (- (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) k) (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) k) (* (/ (pow PI (* 0.5 (- 1.0 k))) k) (/ (pow (pow 2.0 (- 1.0 k)) 0.5) k)))) (* (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (- +nan.0))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 14.187 * * * [progress]: adding candidates to table 15.050 * * [progress]: iteration 4 / 4 15.050 * * * [progress]: picking best candidate 15.066 * * * * [pick]: Picked # 15.066 * * * [progress]: localizing error 15.090 * * * [progress]: generating rewritten candidates 15.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 15.099 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 15.111 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 15.131 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 15.619 * * * [progress]: generating series expansions 15.619 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 15.619 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 15.619 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 15.619 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 15.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 15.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 15.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.619 * [taylor]: Taking taylor expansion of 0.5 in k 15.619 * [backup-simplify]: Simplify 0.5 into 0.5 15.619 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.620 * [taylor]: Taking taylor expansion of 1.0 in k 15.620 * [backup-simplify]: Simplify 1.0 into 1.0 15.620 * [taylor]: Taking taylor expansion of k in k 15.620 * [backup-simplify]: Simplify 0 into 0 15.620 * [backup-simplify]: Simplify 1 into 1 15.620 * [taylor]: Taking taylor expansion of (log n) in k 15.620 * [taylor]: Taking taylor expansion of n in k 15.620 * [backup-simplify]: Simplify n into n 15.620 * [backup-simplify]: Simplify (log n) into (log n) 15.620 * [backup-simplify]: Simplify (- 0) into 0 15.620 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.621 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.621 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.621 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.621 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.621 * [taylor]: Taking taylor expansion of 0.5 in n 15.621 * [backup-simplify]: Simplify 0.5 into 0.5 15.621 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.621 * [taylor]: Taking taylor expansion of 1.0 in n 15.621 * [backup-simplify]: Simplify 1.0 into 1.0 15.621 * [taylor]: Taking taylor expansion of k in n 15.621 * [backup-simplify]: Simplify k into k 15.621 * [taylor]: Taking taylor expansion of (log n) in n 15.621 * [taylor]: Taking taylor expansion of n in n 15.621 * [backup-simplify]: Simplify 0 into 0 15.621 * [backup-simplify]: Simplify 1 into 1 15.621 * [backup-simplify]: Simplify (log 1) into 0 15.621 * [backup-simplify]: Simplify (- k) into (- k) 15.622 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.622 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.622 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.622 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.622 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.622 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.622 * [taylor]: Taking taylor expansion of 0.5 in n 15.622 * [backup-simplify]: Simplify 0.5 into 0.5 15.622 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.622 * [taylor]: Taking taylor expansion of 1.0 in n 15.622 * [backup-simplify]: Simplify 1.0 into 1.0 15.622 * [taylor]: Taking taylor expansion of k in n 15.622 * [backup-simplify]: Simplify k into k 15.622 * [taylor]: Taking taylor expansion of (log n) in n 15.622 * [taylor]: Taking taylor expansion of n in n 15.622 * [backup-simplify]: Simplify 0 into 0 15.622 * [backup-simplify]: Simplify 1 into 1 15.623 * [backup-simplify]: Simplify (log 1) into 0 15.623 * [backup-simplify]: Simplify (- k) into (- k) 15.623 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.623 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.623 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.623 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.623 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 15.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 15.623 * [taylor]: Taking taylor expansion of 0.5 in k 15.623 * [backup-simplify]: Simplify 0.5 into 0.5 15.623 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.623 * [taylor]: Taking taylor expansion of 1.0 in k 15.623 * [backup-simplify]: Simplify 1.0 into 1.0 15.623 * [taylor]: Taking taylor expansion of k in k 15.623 * [backup-simplify]: Simplify 0 into 0 15.623 * [backup-simplify]: Simplify 1 into 1 15.623 * [taylor]: Taking taylor expansion of (log n) in k 15.623 * [taylor]: Taking taylor expansion of n in k 15.623 * [backup-simplify]: Simplify n into n 15.624 * [backup-simplify]: Simplify (log n) into (log n) 15.624 * [backup-simplify]: Simplify (- 0) into 0 15.624 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.624 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.624 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 15.624 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.624 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 15.626 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.626 * [backup-simplify]: Simplify (- 0) into 0 15.626 * [backup-simplify]: Simplify (+ 0 0) into 0 15.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.627 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.627 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.627 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.627 * [taylor]: Taking taylor expansion of 0 in k 15.627 * [backup-simplify]: Simplify 0 into 0 15.627 * [backup-simplify]: Simplify 0 into 0 15.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.628 * [backup-simplify]: Simplify (- 1) into -1 15.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.629 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.629 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 15.629 * [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))) 15.629 * [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))) 15.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.633 * [backup-simplify]: Simplify (- 0) into 0 15.633 * [backup-simplify]: Simplify (+ 0 0) into 0 15.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.634 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.635 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.637 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.637 * [taylor]: Taking taylor expansion of 0 in k 15.637 * [backup-simplify]: Simplify 0 into 0 15.637 * [backup-simplify]: Simplify 0 into 0 15.637 * [backup-simplify]: Simplify 0 into 0 15.639 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.639 * [backup-simplify]: Simplify (- 0) into 0 15.639 * [backup-simplify]: Simplify (+ 0 0) into 0 15.640 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.642 * [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))) 15.642 * [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))) 15.644 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 15.644 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 15.644 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.644 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.644 * [taylor]: Taking taylor expansion of 0.5 in k 15.644 * [backup-simplify]: Simplify 0.5 into 0.5 15.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.644 * [taylor]: Taking taylor expansion of 1.0 in k 15.644 * [backup-simplify]: Simplify 1.0 into 1.0 15.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.644 * [taylor]: Taking taylor expansion of k in k 15.644 * [backup-simplify]: Simplify 0 into 0 15.644 * [backup-simplify]: Simplify 1 into 1 15.645 * [backup-simplify]: Simplify (/ 1 1) into 1 15.645 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.645 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.645 * [taylor]: Taking taylor expansion of n in k 15.645 * [backup-simplify]: Simplify n into n 15.645 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.645 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.645 * [backup-simplify]: Simplify (- 1) into -1 15.646 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.646 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.646 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 15.646 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.646 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.646 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.646 * [taylor]: Taking taylor expansion of 0.5 in n 15.646 * [backup-simplify]: Simplify 0.5 into 0.5 15.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.646 * [taylor]: Taking taylor expansion of 1.0 in n 15.646 * [backup-simplify]: Simplify 1.0 into 1.0 15.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.646 * [taylor]: Taking taylor expansion of k in n 15.646 * [backup-simplify]: Simplify k into k 15.646 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.646 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.646 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.646 * [taylor]: Taking taylor expansion of n in n 15.646 * [backup-simplify]: Simplify 0 into 0 15.646 * [backup-simplify]: Simplify 1 into 1 15.647 * [backup-simplify]: Simplify (/ 1 1) into 1 15.647 * [backup-simplify]: Simplify (log 1) into 0 15.647 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.647 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.647 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.647 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.648 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.648 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.648 * [taylor]: Taking taylor expansion of 0.5 in n 15.648 * [backup-simplify]: Simplify 0.5 into 0.5 15.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.648 * [taylor]: Taking taylor expansion of 1.0 in n 15.648 * [backup-simplify]: Simplify 1.0 into 1.0 15.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.648 * [taylor]: Taking taylor expansion of k in n 15.648 * [backup-simplify]: Simplify k into k 15.648 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.648 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.648 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.648 * [taylor]: Taking taylor expansion of n in n 15.648 * [backup-simplify]: Simplify 0 into 0 15.648 * [backup-simplify]: Simplify 1 into 1 15.648 * [backup-simplify]: Simplify (/ 1 1) into 1 15.648 * [backup-simplify]: Simplify (log 1) into 0 15.649 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.649 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.649 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.649 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.649 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.649 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 15.649 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 15.649 * [taylor]: Taking taylor expansion of -0.5 in k 15.649 * [backup-simplify]: Simplify -0.5 into -0.5 15.649 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.649 * [taylor]: Taking taylor expansion of (log n) in k 15.649 * [taylor]: Taking taylor expansion of n in k 15.649 * [backup-simplify]: Simplify n into n 15.649 * [backup-simplify]: Simplify (log n) into (log n) 15.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.649 * [taylor]: Taking taylor expansion of 1.0 in k 15.649 * [backup-simplify]: Simplify 1.0 into 1.0 15.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.650 * [taylor]: Taking taylor expansion of k in k 15.650 * [backup-simplify]: Simplify 0 into 0 15.650 * [backup-simplify]: Simplify 1 into 1 15.650 * [backup-simplify]: Simplify (/ 1 1) into 1 15.650 * [backup-simplify]: Simplify (- 1) into -1 15.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.650 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.650 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 15.651 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.651 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.652 * [backup-simplify]: Simplify (- 0) into 0 15.653 * [backup-simplify]: Simplify (+ 0 0) into 0 15.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.654 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.654 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.654 * [taylor]: Taking taylor expansion of 0 in k 15.654 * [backup-simplify]: Simplify 0 into 0 15.654 * [backup-simplify]: Simplify 0 into 0 15.654 * [backup-simplify]: Simplify 0 into 0 15.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.656 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.657 * [backup-simplify]: Simplify (- 0) into 0 15.657 * [backup-simplify]: Simplify (+ 0 0) into 0 15.658 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.658 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.658 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.659 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.659 * [taylor]: Taking taylor expansion of 0 in k 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify 0 into 0 15.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.663 * [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 15.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.663 * [backup-simplify]: Simplify (- 0) into 0 15.663 * [backup-simplify]: Simplify (+ 0 0) into 0 15.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.665 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.666 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.666 * [taylor]: Taking taylor expansion of 0 in k 15.666 * [backup-simplify]: Simplify 0 into 0 15.666 * [backup-simplify]: Simplify 0 into 0 15.666 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 15.667 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 15.667 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.667 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.667 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.667 * [taylor]: Taking taylor expansion of 0.5 in k 15.667 * [backup-simplify]: Simplify 0.5 into 0.5 15.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.667 * [taylor]: Taking taylor expansion of k in k 15.667 * [backup-simplify]: Simplify 0 into 0 15.667 * [backup-simplify]: Simplify 1 into 1 15.667 * [backup-simplify]: Simplify (/ 1 1) into 1 15.667 * [taylor]: Taking taylor expansion of 1.0 in k 15.667 * [backup-simplify]: Simplify 1.0 into 1.0 15.667 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.667 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.667 * [taylor]: Taking taylor expansion of -1 in k 15.667 * [backup-simplify]: Simplify -1 into -1 15.667 * [taylor]: Taking taylor expansion of n in k 15.667 * [backup-simplify]: Simplify n into n 15.667 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.667 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.668 * [backup-simplify]: Simplify (+ 1 0) into 1 15.668 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.668 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 15.668 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.668 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.668 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.668 * [taylor]: Taking taylor expansion of 0.5 in n 15.668 * [backup-simplify]: Simplify 0.5 into 0.5 15.668 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.668 * [taylor]: Taking taylor expansion of k in n 15.668 * [backup-simplify]: Simplify k into k 15.668 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.668 * [taylor]: Taking taylor expansion of 1.0 in n 15.668 * [backup-simplify]: Simplify 1.0 into 1.0 15.668 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.668 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.668 * [taylor]: Taking taylor expansion of -1 in n 15.668 * [backup-simplify]: Simplify -1 into -1 15.668 * [taylor]: Taking taylor expansion of n in n 15.668 * [backup-simplify]: Simplify 0 into 0 15.668 * [backup-simplify]: Simplify 1 into 1 15.669 * [backup-simplify]: Simplify (/ -1 1) into -1 15.669 * [backup-simplify]: Simplify (log -1) into (log -1) 15.669 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.669 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.670 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.670 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.670 * [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)))) 15.670 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.670 * [taylor]: Taking taylor expansion of 0.5 in n 15.670 * [backup-simplify]: Simplify 0.5 into 0.5 15.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.671 * [taylor]: Taking taylor expansion of k in n 15.671 * [backup-simplify]: Simplify k into k 15.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.671 * [taylor]: Taking taylor expansion of 1.0 in n 15.671 * [backup-simplify]: Simplify 1.0 into 1.0 15.671 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.671 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.671 * [taylor]: Taking taylor expansion of -1 in n 15.671 * [backup-simplify]: Simplify -1 into -1 15.671 * [taylor]: Taking taylor expansion of n in n 15.671 * [backup-simplify]: Simplify 0 into 0 15.671 * [backup-simplify]: Simplify 1 into 1 15.677 * [backup-simplify]: Simplify (/ -1 1) into -1 15.678 * [backup-simplify]: Simplify (log -1) into (log -1) 15.678 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.678 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.679 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.680 * [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)))) 15.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.680 * [taylor]: Taking taylor expansion of 0.5 in k 15.680 * [backup-simplify]: Simplify 0.5 into 0.5 15.680 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.680 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.681 * [taylor]: Taking taylor expansion of (log -1) in k 15.681 * [taylor]: Taking taylor expansion of -1 in k 15.681 * [backup-simplify]: Simplify -1 into -1 15.681 * [backup-simplify]: Simplify (log -1) into (log -1) 15.681 * [taylor]: Taking taylor expansion of (log n) in k 15.681 * [taylor]: Taking taylor expansion of n in k 15.681 * [backup-simplify]: Simplify n into n 15.681 * [backup-simplify]: Simplify (log n) into (log n) 15.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.681 * [taylor]: Taking taylor expansion of k in k 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 1 into 1 15.682 * [backup-simplify]: Simplify (/ 1 1) into 1 15.682 * [taylor]: Taking taylor expansion of 1.0 in k 15.682 * [backup-simplify]: Simplify 1.0 into 1.0 15.682 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.682 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.683 * [backup-simplify]: Simplify (+ 1 0) into 1 15.683 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.684 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 15.685 * [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)))) 15.685 * [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)))) 15.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.688 * [backup-simplify]: Simplify (+ 0 0) into 0 15.689 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.690 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.690 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.692 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.692 * [taylor]: Taking taylor expansion of 0 in k 15.692 * [backup-simplify]: Simplify 0 into 0 15.692 * [backup-simplify]: Simplify 0 into 0 15.692 * [backup-simplify]: Simplify 0 into 0 15.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.697 * [backup-simplify]: Simplify (+ 0 0) into 0 15.698 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.699 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.702 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.702 * [taylor]: Taking taylor expansion of 0 in k 15.702 * [backup-simplify]: Simplify 0 into 0 15.702 * [backup-simplify]: Simplify 0 into 0 15.702 * [backup-simplify]: Simplify 0 into 0 15.702 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.709 * [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 15.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.709 * [backup-simplify]: Simplify (+ 0 0) into 0 15.711 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.712 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.713 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.716 * [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 15.716 * [taylor]: Taking taylor expansion of 0 in k 15.716 * [backup-simplify]: Simplify 0 into 0 15.716 * [backup-simplify]: Simplify 0 into 0 15.717 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.717 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 15.717 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 15.717 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 15.717 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.718 * [taylor]: Taking taylor expansion of 0.5 in k 15.718 * [backup-simplify]: Simplify 0.5 into 0.5 15.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.718 * [taylor]: Taking taylor expansion of 1.0 in k 15.718 * [backup-simplify]: Simplify 1.0 into 1.0 15.718 * [taylor]: Taking taylor expansion of k in k 15.718 * [backup-simplify]: Simplify 0 into 0 15.718 * [backup-simplify]: Simplify 1 into 1 15.718 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.718 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.718 * [taylor]: Taking taylor expansion of 2.0 in k 15.718 * [backup-simplify]: Simplify 2.0 into 2.0 15.718 * [taylor]: Taking taylor expansion of PI in k 15.718 * [backup-simplify]: Simplify PI into PI 15.718 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.720 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.720 * [backup-simplify]: Simplify (- 0) into 0 15.720 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.721 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.723 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.725 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.725 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.725 * [taylor]: Taking taylor expansion of 0.5 in k 15.725 * [backup-simplify]: Simplify 0.5 into 0.5 15.725 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.726 * [taylor]: Taking taylor expansion of 1.0 in k 15.726 * [backup-simplify]: Simplify 1.0 into 1.0 15.726 * [taylor]: Taking taylor expansion of k in k 15.726 * [backup-simplify]: Simplify 0 into 0 15.726 * [backup-simplify]: Simplify 1 into 1 15.726 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.726 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.726 * [taylor]: Taking taylor expansion of 2.0 in k 15.726 * [backup-simplify]: Simplify 2.0 into 2.0 15.726 * [taylor]: Taking taylor expansion of PI in k 15.726 * [backup-simplify]: Simplify PI into PI 15.726 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.727 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.728 * [backup-simplify]: Simplify (- 0) into 0 15.728 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.728 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.730 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.733 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.734 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 15.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.738 * [backup-simplify]: Simplify (- 1) into -1 15.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.740 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 15.744 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 15.756 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.760 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 15.761 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.763 * [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 15.763 * [backup-simplify]: Simplify (- 0) into 0 15.763 * [backup-simplify]: Simplify (+ 0 0) into 0 15.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 15.774 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.779 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 15.795 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 15.795 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 15.795 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 15.795 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 15.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 15.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.796 * [taylor]: Taking taylor expansion of 0.5 in k 15.796 * [backup-simplify]: Simplify 0.5 into 0.5 15.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.796 * [taylor]: Taking taylor expansion of 1.0 in k 15.796 * [backup-simplify]: Simplify 1.0 into 1.0 15.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.796 * [taylor]: Taking taylor expansion of k in k 15.796 * [backup-simplify]: Simplify 0 into 0 15.796 * [backup-simplify]: Simplify 1 into 1 15.797 * [backup-simplify]: Simplify (/ 1 1) into 1 15.797 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.797 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.797 * [taylor]: Taking taylor expansion of 2.0 in k 15.797 * [backup-simplify]: Simplify 2.0 into 2.0 15.797 * [taylor]: Taking taylor expansion of PI in k 15.797 * [backup-simplify]: Simplify PI into PI 15.797 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.798 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.799 * [backup-simplify]: Simplify (- 1) into -1 15.799 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.800 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.801 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 15.803 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 15.803 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 15.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 15.803 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.803 * [taylor]: Taking taylor expansion of 0.5 in k 15.803 * [backup-simplify]: Simplify 0.5 into 0.5 15.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.803 * [taylor]: Taking taylor expansion of 1.0 in k 15.803 * [backup-simplify]: Simplify 1.0 into 1.0 15.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.803 * [taylor]: Taking taylor expansion of k in k 15.803 * [backup-simplify]: Simplify 0 into 0 15.803 * [backup-simplify]: Simplify 1 into 1 15.803 * [backup-simplify]: Simplify (/ 1 1) into 1 15.804 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.804 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.804 * [taylor]: Taking taylor expansion of 2.0 in k 15.804 * [backup-simplify]: Simplify 2.0 into 2.0 15.804 * [taylor]: Taking taylor expansion of PI in k 15.804 * [backup-simplify]: Simplify PI into PI 15.804 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.805 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.806 * [backup-simplify]: Simplify (- 1) into -1 15.806 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.806 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.808 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 15.809 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 15.811 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.811 * [backup-simplify]: Simplify 0 into 0 15.818 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 15.818 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 15.819 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 15.819 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 15.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 15.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.819 * [taylor]: Taking taylor expansion of 0.5 in k 15.819 * [backup-simplify]: Simplify 0.5 into 0.5 15.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.819 * [taylor]: Taking taylor expansion of k in k 15.819 * [backup-simplify]: Simplify 0 into 0 15.819 * [backup-simplify]: Simplify 1 into 1 15.819 * [backup-simplify]: Simplify (/ 1 1) into 1 15.819 * [taylor]: Taking taylor expansion of 1.0 in k 15.819 * [backup-simplify]: Simplify 1.0 into 1.0 15.819 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.819 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.819 * [taylor]: Taking taylor expansion of 2.0 in k 15.820 * [backup-simplify]: Simplify 2.0 into 2.0 15.820 * [taylor]: Taking taylor expansion of PI in k 15.820 * [backup-simplify]: Simplify PI into PI 15.820 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.821 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.822 * [backup-simplify]: Simplify (+ 1 0) into 1 15.822 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.824 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.825 * [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)))) 15.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 15.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 15.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.826 * [taylor]: Taking taylor expansion of 0.5 in k 15.826 * [backup-simplify]: Simplify 0.5 into 0.5 15.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.826 * [taylor]: Taking taylor expansion of k in k 15.826 * [backup-simplify]: Simplify 0 into 0 15.826 * [backup-simplify]: Simplify 1 into 1 15.826 * [backup-simplify]: Simplify (/ 1 1) into 1 15.826 * [taylor]: Taking taylor expansion of 1.0 in k 15.826 * [backup-simplify]: Simplify 1.0 into 1.0 15.826 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.826 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.826 * [taylor]: Taking taylor expansion of 2.0 in k 15.826 * [backup-simplify]: Simplify 2.0 into 2.0 15.826 * [taylor]: Taking taylor expansion of PI in k 15.826 * [backup-simplify]: Simplify PI into PI 15.827 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.828 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.828 * [backup-simplify]: Simplify (+ 1 0) into 1 15.829 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.831 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.832 * [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)))) 15.833 * [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)))) 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.833 * [backup-simplify]: Simplify 0 into 0 15.835 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 15.835 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 15.836 * [backup-simplify]: Simplify (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) 15.836 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in (k) around 0 15.836 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 15.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 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 * [backup-simplify]: Simplify (/ 1 1) into 1 15.837 * [backup-simplify]: Simplify (sqrt 0) into 0 15.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.838 * [taylor]: Taking taylor expansion of 0.5 in k 15.838 * [backup-simplify]: Simplify 0.5 into 0.5 15.838 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.838 * [taylor]: Taking taylor expansion of 1.0 in k 15.838 * [backup-simplify]: Simplify 1.0 into 1.0 15.838 * [taylor]: Taking taylor expansion of k in k 15.838 * [backup-simplify]: Simplify 0 into 0 15.838 * [backup-simplify]: Simplify 1 into 1 15.838 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.838 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.838 * [taylor]: Taking taylor expansion of 2.0 in k 15.839 * [backup-simplify]: Simplify 2.0 into 2.0 15.839 * [taylor]: Taking taylor expansion of PI in k 15.839 * [backup-simplify]: Simplify PI into PI 15.839 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.840 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.840 * [backup-simplify]: Simplify (- 0) into 0 15.841 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.841 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.843 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.846 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.846 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 15.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.846 * [taylor]: Taking taylor expansion of k in k 15.846 * [backup-simplify]: Simplify 0 into 0 15.846 * [backup-simplify]: Simplify 1 into 1 15.847 * [backup-simplify]: Simplify (/ 1 1) into 1 15.847 * [backup-simplify]: Simplify (sqrt 0) into 0 15.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 15.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 15.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 15.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.849 * [taylor]: Taking taylor expansion of 0.5 in k 15.849 * [backup-simplify]: Simplify 0.5 into 0.5 15.849 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.849 * [taylor]: Taking taylor expansion of 1.0 in k 15.849 * [backup-simplify]: Simplify 1.0 into 1.0 15.849 * [taylor]: Taking taylor expansion of k in k 15.849 * [backup-simplify]: Simplify 0 into 0 15.849 * [backup-simplify]: Simplify 1 into 1 15.849 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.849 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.849 * [taylor]: Taking taylor expansion of 2.0 in k 15.849 * [backup-simplify]: Simplify 2.0 into 2.0 15.849 * [taylor]: Taking taylor expansion of PI in k 15.849 * [backup-simplify]: Simplify PI into PI 15.850 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.851 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.851 * [backup-simplify]: Simplify (- 0) into 0 15.852 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.852 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.854 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 15.857 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 15.858 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 15.858 * [backup-simplify]: Simplify 0 into 0 15.858 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.861 * [backup-simplify]: Simplify (- 1) into -1 15.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.863 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 15.867 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 15.880 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.887 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 15.893 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.894 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.897 * [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 15.898 * [backup-simplify]: Simplify (- 0) into 0 15.898 * [backup-simplify]: Simplify (+ 0 0) into 0 15.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 15.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 15.917 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.921 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.944 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 15.963 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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))))) 15.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.975 * [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 15.976 * [backup-simplify]: Simplify (- 0) into 0 15.977 * [backup-simplify]: Simplify (+ 0 0) into 0 15.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 15.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 15.992 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.019 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 16.041 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 16.089 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 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))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 16.089 * [backup-simplify]: Simplify (/ (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 16.089 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k) around 0 16.089 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.089 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.089 * [taylor]: Taking taylor expansion of k in k 16.089 * [backup-simplify]: Simplify 0 into 0 16.089 * [backup-simplify]: Simplify 1 into 1 16.090 * [backup-simplify]: Simplify (sqrt 0) into 0 16.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.091 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.091 * [taylor]: Taking taylor expansion of 0.5 in k 16.091 * [backup-simplify]: Simplify 0.5 into 0.5 16.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.091 * [taylor]: Taking taylor expansion of 1.0 in k 16.091 * [backup-simplify]: Simplify 1.0 into 1.0 16.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.091 * [taylor]: Taking taylor expansion of k in k 16.091 * [backup-simplify]: Simplify 0 into 0 16.091 * [backup-simplify]: Simplify 1 into 1 16.091 * [backup-simplify]: Simplify (/ 1 1) into 1 16.091 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.091 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.091 * [taylor]: Taking taylor expansion of 2.0 in k 16.091 * [backup-simplify]: Simplify 2.0 into 2.0 16.091 * [taylor]: Taking taylor expansion of PI in k 16.091 * [backup-simplify]: Simplify PI into PI 16.092 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.092 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.092 * [backup-simplify]: Simplify (- 1) into -1 16.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.093 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.095 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.096 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.096 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.096 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.096 * [taylor]: Taking taylor expansion of k in k 16.096 * [backup-simplify]: Simplify 0 into 0 16.096 * [backup-simplify]: Simplify 1 into 1 16.096 * [backup-simplify]: Simplify (sqrt 0) into 0 16.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.098 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.098 * [taylor]: Taking taylor expansion of 0.5 in k 16.098 * [backup-simplify]: Simplify 0.5 into 0.5 16.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.098 * [taylor]: Taking taylor expansion of 1.0 in k 16.098 * [backup-simplify]: Simplify 1.0 into 1.0 16.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.098 * [taylor]: Taking taylor expansion of k in k 16.098 * [backup-simplify]: Simplify 0 into 0 16.098 * [backup-simplify]: Simplify 1 into 1 16.098 * [backup-simplify]: Simplify (/ 1 1) into 1 16.098 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.099 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.099 * [taylor]: Taking taylor expansion of 2.0 in k 16.099 * [backup-simplify]: Simplify 2.0 into 2.0 16.099 * [taylor]: Taking taylor expansion of PI in k 16.099 * [backup-simplify]: Simplify PI into PI 16.099 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.100 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.101 * [backup-simplify]: Simplify (- 1) into -1 16.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.101 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.103 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.104 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.106 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 16.106 * [backup-simplify]: Simplify 0 into 0 16.107 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.109 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.112 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.115 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.123 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 16.127 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 16.128 * [backup-simplify]: Simplify (/ (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (sqrt (/ 1 (- k)))) into (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) 16.128 * [approximate]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (k) around 0 16.128 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 16.128 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.128 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.129 * [taylor]: Taking taylor expansion of 0.5 in k 16.129 * [backup-simplify]: Simplify 0.5 into 0.5 16.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.129 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.129 * [taylor]: Taking taylor expansion of k in k 16.129 * [backup-simplify]: Simplify 0 into 0 16.129 * [backup-simplify]: Simplify 1 into 1 16.129 * [backup-simplify]: Simplify (/ 1 1) into 1 16.129 * [taylor]: Taking taylor expansion of 1.0 in k 16.129 * [backup-simplify]: Simplify 1.0 into 1.0 16.129 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.129 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.129 * [taylor]: Taking taylor expansion of 2.0 in k 16.129 * [backup-simplify]: Simplify 2.0 into 2.0 16.129 * [taylor]: Taking taylor expansion of PI in k 16.129 * [backup-simplify]: Simplify PI into PI 16.130 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.131 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.131 * [backup-simplify]: Simplify (+ 1 0) into 1 16.132 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.133 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.135 * [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)))) 16.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.135 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.135 * [taylor]: Taking taylor expansion of -1 in k 16.135 * [backup-simplify]: Simplify -1 into -1 16.135 * [taylor]: Taking taylor expansion of k in k 16.135 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify 1 into 1 16.135 * [backup-simplify]: Simplify (/ -1 1) into -1 16.136 * [backup-simplify]: Simplify (sqrt 0) into 0 16.137 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.138 * [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))))) 16.138 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 16.138 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.138 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.138 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.138 * [taylor]: Taking taylor expansion of 0.5 in k 16.138 * [backup-simplify]: Simplify 0.5 into 0.5 16.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.138 * [taylor]: Taking taylor expansion of k in k 16.138 * [backup-simplify]: Simplify 0 into 0 16.138 * [backup-simplify]: Simplify 1 into 1 16.139 * [backup-simplify]: Simplify (/ 1 1) into 1 16.139 * [taylor]: Taking taylor expansion of 1.0 in k 16.139 * [backup-simplify]: Simplify 1.0 into 1.0 16.139 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.139 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.139 * [taylor]: Taking taylor expansion of 2.0 in k 16.139 * [backup-simplify]: Simplify 2.0 into 2.0 16.139 * [taylor]: Taking taylor expansion of PI in k 16.139 * [backup-simplify]: Simplify PI into PI 16.140 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.141 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.141 * [backup-simplify]: Simplify (+ 1 0) into 1 16.141 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.143 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.144 * [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)))) 16.144 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.144 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.144 * [taylor]: Taking taylor expansion of -1 in k 16.144 * [backup-simplify]: Simplify -1 into -1 16.144 * [taylor]: Taking taylor expansion of k in k 16.144 * [backup-simplify]: Simplify 0 into 0 16.144 * [backup-simplify]: Simplify 1 into 1 16.145 * [backup-simplify]: Simplify (/ -1 1) into -1 16.145 * [backup-simplify]: Simplify (sqrt 0) into 0 16.147 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.148 * [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))))) 16.149 * [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))))) 16.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.153 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.154 * [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)))))) 16.155 * [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)))))) 16.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.161 * [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)))))) 16.161 * [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)))))) 16.164 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 16.164 * * * * [progress]: [ 4 / 4 ] generating series at (2) 16.165 * [backup-simplify]: Simplify (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) 16.165 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 16.165 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 16.165 * [taylor]: Taking taylor expansion of 1.0 in n 16.165 * [backup-simplify]: Simplify 1.0 into 1.0 16.165 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 16.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.165 * [taylor]: Taking taylor expansion of k in n 16.165 * [backup-simplify]: Simplify k into k 16.165 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.165 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.165 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 16.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 16.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 16.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 16.165 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.165 * [taylor]: Taking taylor expansion of 0.5 in n 16.165 * [backup-simplify]: Simplify 0.5 into 0.5 16.165 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.165 * [taylor]: Taking taylor expansion of 1.0 in n 16.165 * [backup-simplify]: Simplify 1.0 into 1.0 16.165 * [taylor]: Taking taylor expansion of k in n 16.165 * [backup-simplify]: Simplify k into k 16.165 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.165 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.165 * [taylor]: Taking taylor expansion of 2.0 in n 16.165 * [backup-simplify]: Simplify 2.0 into 2.0 16.165 * [taylor]: Taking taylor expansion of PI in n 16.166 * [backup-simplify]: Simplify PI into PI 16.166 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.166 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.167 * [backup-simplify]: Simplify (- k) into (- k) 16.167 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.167 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.167 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 16.168 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 16.168 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.168 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.168 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.168 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.168 * [taylor]: Taking taylor expansion of 0.5 in n 16.168 * [backup-simplify]: Simplify 0.5 into 0.5 16.168 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.168 * [taylor]: Taking taylor expansion of 1.0 in n 16.168 * [backup-simplify]: Simplify 1.0 into 1.0 16.169 * [taylor]: Taking taylor expansion of k in n 16.169 * [backup-simplify]: Simplify k into k 16.169 * [taylor]: Taking taylor expansion of (log n) in n 16.169 * [taylor]: Taking taylor expansion of n in n 16.169 * [backup-simplify]: Simplify 0 into 0 16.169 * [backup-simplify]: Simplify 1 into 1 16.169 * [backup-simplify]: Simplify (log 1) into 0 16.169 * [backup-simplify]: Simplify (- k) into (- k) 16.169 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.169 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.169 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.169 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.169 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.170 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 16.170 * [taylor]: Taking taylor expansion of 1.0 in k 16.170 * [backup-simplify]: Simplify 1.0 into 1.0 16.170 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 16.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.170 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.170 * [taylor]: Taking taylor expansion of k in k 16.170 * [backup-simplify]: Simplify 0 into 0 16.170 * [backup-simplify]: Simplify 1 into 1 16.170 * [backup-simplify]: Simplify (/ 1 1) into 1 16.170 * [backup-simplify]: Simplify (sqrt 0) into 0 16.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.171 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 16.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.171 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.171 * [taylor]: Taking taylor expansion of 0.5 in k 16.171 * [backup-simplify]: Simplify 0.5 into 0.5 16.171 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.171 * [taylor]: Taking taylor expansion of 1.0 in k 16.171 * [backup-simplify]: Simplify 1.0 into 1.0 16.171 * [taylor]: Taking taylor expansion of k in k 16.171 * [backup-simplify]: Simplify 0 into 0 16.171 * [backup-simplify]: Simplify 1 into 1 16.171 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.171 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.171 * [taylor]: Taking taylor expansion of 2.0 in k 16.171 * [backup-simplify]: Simplify 2.0 into 2.0 16.171 * [taylor]: Taking taylor expansion of PI in k 16.171 * [backup-simplify]: Simplify PI into PI 16.172 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.172 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.173 * [backup-simplify]: Simplify (- 0) into 0 16.173 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.173 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.174 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.176 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.176 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.176 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.176 * [taylor]: Taking taylor expansion of 0.5 in k 16.176 * [backup-simplify]: Simplify 0.5 into 0.5 16.176 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.176 * [taylor]: Taking taylor expansion of 1.0 in k 16.176 * [backup-simplify]: Simplify 1.0 into 1.0 16.176 * [taylor]: Taking taylor expansion of k in k 16.176 * [backup-simplify]: Simplify 0 into 0 16.176 * [backup-simplify]: Simplify 1 into 1 16.176 * [taylor]: Taking taylor expansion of (log n) in k 16.176 * [taylor]: Taking taylor expansion of n in k 16.176 * [backup-simplify]: Simplify n into n 16.176 * [backup-simplify]: Simplify (log n) into (log n) 16.176 * [backup-simplify]: Simplify (- 0) into 0 16.177 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.177 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.177 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.177 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.177 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 16.177 * [taylor]: Taking taylor expansion of 1.0 in k 16.177 * [backup-simplify]: Simplify 1.0 into 1.0 16.177 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 16.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.177 * [taylor]: Taking taylor expansion of k in k 16.177 * [backup-simplify]: Simplify 0 into 0 16.177 * [backup-simplify]: Simplify 1 into 1 16.177 * [backup-simplify]: Simplify (/ 1 1) into 1 16.178 * [backup-simplify]: Simplify (sqrt 0) into 0 16.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.178 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 16.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 16.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 16.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 16.179 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.179 * [taylor]: Taking taylor expansion of 0.5 in k 16.179 * [backup-simplify]: Simplify 0.5 into 0.5 16.179 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.179 * [taylor]: Taking taylor expansion of 1.0 in k 16.179 * [backup-simplify]: Simplify 1.0 into 1.0 16.179 * [taylor]: Taking taylor expansion of k in k 16.179 * [backup-simplify]: Simplify 0 into 0 16.179 * [backup-simplify]: Simplify 1 into 1 16.179 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.179 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.179 * [taylor]: Taking taylor expansion of 2.0 in k 16.179 * [backup-simplify]: Simplify 2.0 into 2.0 16.179 * [taylor]: Taking taylor expansion of PI in k 16.179 * [backup-simplify]: Simplify PI into PI 16.179 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.180 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.180 * [backup-simplify]: Simplify (- 0) into 0 16.180 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.180 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.182 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.183 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 16.183 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.183 * [taylor]: Taking taylor expansion of 0.5 in k 16.183 * [backup-simplify]: Simplify 0.5 into 0.5 16.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.183 * [taylor]: Taking taylor expansion of 1.0 in k 16.183 * [backup-simplify]: Simplify 1.0 into 1.0 16.183 * [taylor]: Taking taylor expansion of k in k 16.183 * [backup-simplify]: Simplify 0 into 0 16.183 * [backup-simplify]: Simplify 1 into 1 16.183 * [taylor]: Taking taylor expansion of (log n) in k 16.183 * [taylor]: Taking taylor expansion of n in k 16.183 * [backup-simplify]: Simplify n into n 16.183 * [backup-simplify]: Simplify (log n) into (log n) 16.184 * [backup-simplify]: Simplify (- 0) into 0 16.184 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.184 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.184 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.184 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.185 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) (pow n 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 16.186 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 16.186 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.186 * [taylor]: Taking taylor expansion of 0 in n 16.186 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify 0 into 0 16.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.187 * [backup-simplify]: Simplify (- 1) into -1 16.187 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.188 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.189 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 16.189 * [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))) 16.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.198 * [backup-simplify]: Simplify (- 1) into -1 16.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.200 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 16.218 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 16.227 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 16.233 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +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))) 16.235 * [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))) 16.235 * [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 16.235 * [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 16.235 * [taylor]: Taking taylor expansion of +nan.0 in n 16.235 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.235 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.235 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.235 * [taylor]: Taking taylor expansion of 0.5 in n 16.235 * [backup-simplify]: Simplify 0.5 into 0.5 16.235 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.235 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.235 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.235 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.235 * [taylor]: Taking taylor expansion of 1.0 in n 16.235 * [backup-simplify]: Simplify 1.0 into 1.0 16.235 * [taylor]: Taking taylor expansion of (log PI) in n 16.236 * [taylor]: Taking taylor expansion of PI in n 16.236 * [backup-simplify]: Simplify PI into PI 16.236 * [backup-simplify]: Simplify (log PI) into (log PI) 16.237 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.239 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.239 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.239 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.239 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.239 * [taylor]: Taking taylor expansion of 1.0 in n 16.239 * [backup-simplify]: Simplify 1.0 into 1.0 16.239 * [taylor]: Taking taylor expansion of (log n) in n 16.239 * [taylor]: Taking taylor expansion of n in n 16.239 * [backup-simplify]: Simplify 0 into 0 16.239 * [backup-simplify]: Simplify 1 into 1 16.239 * [backup-simplify]: Simplify (log 1) into 0 16.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.240 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.240 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.240 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.240 * [taylor]: Taking taylor expansion of 1.0 in n 16.240 * [backup-simplify]: Simplify 1.0 into 1.0 16.240 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.240 * [taylor]: Taking taylor expansion of 2.0 in n 16.240 * [backup-simplify]: Simplify 2.0 into 2.0 16.241 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.242 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.243 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.244 * [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) 16.245 * [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) 16.247 * [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)) 16.248 * [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))) 16.250 * [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) 16.252 * [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)) 16.253 * [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))) 16.254 * [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))) 16.254 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.255 * [backup-simplify]: Simplify (- 0) into 0 16.256 * [backup-simplify]: Simplify (+ 0 0) into 0 16.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 16.257 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 16.258 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.260 * [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 16.260 * [backup-simplify]: Simplify (- 0) into 0 16.261 * [backup-simplify]: Simplify (+ 0 0) into 0 16.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 16.271 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 16.282 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 16.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.284 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.292 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 16.297 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 16.297 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 16.297 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 16.297 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 16.298 * [taylor]: Taking taylor expansion of +nan.0 in n 16.298 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.298 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 16.298 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.298 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.298 * [taylor]: Taking taylor expansion of 2.0 in n 16.298 * [backup-simplify]: Simplify 2.0 into 2.0 16.298 * [taylor]: Taking taylor expansion of PI in n 16.298 * [backup-simplify]: Simplify PI into PI 16.298 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.299 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.299 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.299 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.299 * [taylor]: Taking taylor expansion of 0.5 in n 16.299 * [backup-simplify]: Simplify 0.5 into 0.5 16.299 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.299 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.299 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.299 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.299 * [taylor]: Taking taylor expansion of 1.0 in n 16.299 * [backup-simplify]: Simplify 1.0 into 1.0 16.299 * [taylor]: Taking taylor expansion of (log PI) in n 16.299 * [taylor]: Taking taylor expansion of PI in n 16.299 * [backup-simplify]: Simplify PI into PI 16.299 * [backup-simplify]: Simplify (log PI) into (log PI) 16.300 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.301 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.301 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.301 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.301 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.301 * [taylor]: Taking taylor expansion of 1.0 in n 16.301 * [backup-simplify]: Simplify 1.0 into 1.0 16.301 * [taylor]: Taking taylor expansion of (log n) in n 16.301 * [taylor]: Taking taylor expansion of n in n 16.301 * [backup-simplify]: Simplify 0 into 0 16.301 * [backup-simplify]: Simplify 1 into 1 16.302 * [backup-simplify]: Simplify (log 1) into 0 16.302 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.302 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.302 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.302 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.302 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.302 * [taylor]: Taking taylor expansion of 1.0 in n 16.302 * [backup-simplify]: Simplify 1.0 into 1.0 16.302 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.302 * [taylor]: Taking taylor expansion of 2.0 in n 16.302 * [backup-simplify]: Simplify 2.0 into 2.0 16.302 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.303 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.304 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.304 * [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) 16.305 * [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) 16.306 * [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)) 16.307 * [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))) 16.308 * [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) 16.308 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) in n 16.308 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 16.308 * [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 16.308 * [taylor]: Taking taylor expansion of +nan.0 in n 16.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.308 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.308 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.308 * [taylor]: Taking taylor expansion of 0.5 in n 16.308 * [backup-simplify]: Simplify 0.5 into 0.5 16.308 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.308 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.308 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.308 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.308 * [taylor]: Taking taylor expansion of 1.0 in n 16.308 * [backup-simplify]: Simplify 1.0 into 1.0 16.308 * [taylor]: Taking taylor expansion of (log PI) in n 16.308 * [taylor]: Taking taylor expansion of PI in n 16.308 * [backup-simplify]: Simplify PI into PI 16.309 * [backup-simplify]: Simplify (log PI) into (log PI) 16.309 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.314 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.314 * [taylor]: Taking taylor expansion of 1.0 in n 16.314 * [backup-simplify]: Simplify 1.0 into 1.0 16.314 * [taylor]: Taking taylor expansion of (log n) in n 16.315 * [taylor]: Taking taylor expansion of n in n 16.315 * [backup-simplify]: Simplify 0 into 0 16.315 * [backup-simplify]: Simplify 1 into 1 16.315 * [backup-simplify]: Simplify (log 1) into 0 16.315 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.315 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.315 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.315 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.315 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.315 * [taylor]: Taking taylor expansion of 1.0 in n 16.316 * [backup-simplify]: Simplify 1.0 into 1.0 16.316 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.316 * [taylor]: Taking taylor expansion of 2.0 in n 16.316 * [backup-simplify]: Simplify 2.0 into 2.0 16.316 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.316 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.317 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.318 * [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) 16.319 * [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) 16.320 * [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)) 16.321 * [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))) 16.322 * [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) 16.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 16.322 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 16.322 * [taylor]: Taking taylor expansion of +nan.0 in n 16.322 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.322 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 16.322 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 16.322 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 16.322 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 16.322 * [taylor]: Taking taylor expansion of 0.5 in n 16.322 * [backup-simplify]: Simplify 0.5 into 0.5 16.322 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 16.322 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 16.322 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.322 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.322 * [taylor]: Taking taylor expansion of 1.0 in n 16.322 * [backup-simplify]: Simplify 1.0 into 1.0 16.322 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.322 * [taylor]: Taking taylor expansion of 2.0 in n 16.322 * [backup-simplify]: Simplify 2.0 into 2.0 16.323 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.323 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.324 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.324 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 16.324 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.324 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.324 * [taylor]: Taking taylor expansion of 1.0 in n 16.324 * [backup-simplify]: Simplify 1.0 into 1.0 16.324 * [taylor]: Taking taylor expansion of (log PI) in n 16.324 * [taylor]: Taking taylor expansion of PI in n 16.324 * [backup-simplify]: Simplify PI into PI 16.325 * [backup-simplify]: Simplify (log PI) into (log PI) 16.325 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.327 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.327 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.327 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.327 * [taylor]: Taking taylor expansion of 1.0 in n 16.327 * [backup-simplify]: Simplify 1.0 into 1.0 16.327 * [taylor]: Taking taylor expansion of (log n) in n 16.327 * [taylor]: Taking taylor expansion of n in n 16.327 * [backup-simplify]: Simplify 0 into 0 16.327 * [backup-simplify]: Simplify 1 into 1 16.328 * [backup-simplify]: Simplify (log 1) into 0 16.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.328 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.328 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.329 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 16.330 * [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) 16.332 * [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)) 16.333 * [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))) 16.334 * [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) 16.335 * [taylor]: Taking taylor expansion of (log n) in n 16.335 * [taylor]: Taking taylor expansion of n in n 16.335 * [backup-simplify]: Simplify 0 into 0 16.335 * [backup-simplify]: Simplify 1 into 1 16.335 * [backup-simplify]: Simplify (log 1) into 0 16.338 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 16.340 * [backup-simplify]: Simplify (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 16.342 * [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)) 16.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.344 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 16.346 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 16.347 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 16.350 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 16.353 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 16.358 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (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))))))) 16.362 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +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)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 16.366 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (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))))))) 16.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.367 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.368 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.370 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.370 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 16.371 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 16.371 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 16.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.372 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.373 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.374 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 16.376 * [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 16.377 * [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 16.378 * [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 16.379 * [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 16.379 * [backup-simplify]: Simplify (- 0) into 0 16.380 * [backup-simplify]: Simplify 0 into 0 16.380 * [backup-simplify]: Simplify 0 into 0 16.381 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 16.382 * [backup-simplify]: Simplify (- 0) into 0 16.382 * [backup-simplify]: Simplify (+ 0 0) into 0 16.384 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 16.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 16.387 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 16.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.394 * [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 16.395 * [backup-simplify]: Simplify (- 0) into 0 16.395 * [backup-simplify]: Simplify (+ 0 0) into 0 16.397 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 16.398 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 16.417 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 16.433 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3)))) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (pow n 0.5))))) into (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) 16.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.469 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +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)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))))))))) 16.495 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 16.495 * [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 (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 16.495 * [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 (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 16.495 * [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 16.495 * [taylor]: Taking taylor expansion of +nan.0 in n 16.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.495 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 16.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 16.495 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 16.495 * [taylor]: Taking taylor expansion of 0.5 in n 16.495 * [backup-simplify]: Simplify 0.5 into 0.5 16.495 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 16.495 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 16.495 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.495 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.495 * [taylor]: Taking taylor expansion of 1.0 in n 16.495 * [backup-simplify]: Simplify 1.0 into 1.0 16.495 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.495 * [taylor]: Taking taylor expansion of 2.0 in n 16.495 * [backup-simplify]: Simplify 2.0 into 2.0 16.496 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.496 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.497 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.497 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 16.497 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.497 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.497 * [taylor]: Taking taylor expansion of 1.0 in n 16.497 * [backup-simplify]: Simplify 1.0 into 1.0 16.497 * [taylor]: Taking taylor expansion of (log n) in n 16.497 * [taylor]: Taking taylor expansion of n in n 16.497 * [backup-simplify]: Simplify 0 into 0 16.497 * [backup-simplify]: Simplify 1 into 1 16.498 * [backup-simplify]: Simplify (log 1) into 0 16.498 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.498 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.498 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.498 * [taylor]: Taking taylor expansion of 1.0 in n 16.498 * [backup-simplify]: Simplify 1.0 into 1.0 16.498 * [taylor]: Taking taylor expansion of (log PI) in n 16.498 * [taylor]: Taking taylor expansion of PI in n 16.498 * [backup-simplify]: Simplify PI into PI 16.499 * [backup-simplify]: Simplify (log PI) into (log PI) 16.499 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.500 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.501 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 16.501 * [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) 16.502 * [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)) 16.503 * [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))) 16.504 * [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) 16.504 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 16.504 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 16.504 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 16.504 * [taylor]: Taking taylor expansion of +nan.0 in n 16.504 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.504 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 16.504 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 16.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.504 * [taylor]: Taking taylor expansion of 2.0 in n 16.504 * [backup-simplify]: Simplify 2.0 into 2.0 16.504 * [taylor]: Taking taylor expansion of PI in n 16.504 * [backup-simplify]: Simplify PI into PI 16.504 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.505 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.505 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.505 * [taylor]: Taking taylor expansion of 0.5 in n 16.505 * [backup-simplify]: Simplify 0.5 into 0.5 16.505 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.505 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.505 * [taylor]: Taking taylor expansion of 1.0 in n 16.505 * [backup-simplify]: Simplify 1.0 into 1.0 16.505 * [taylor]: Taking taylor expansion of (log PI) in n 16.505 * [taylor]: Taking taylor expansion of PI in n 16.505 * [backup-simplify]: Simplify PI into PI 16.506 * [backup-simplify]: Simplify (log PI) into (log PI) 16.506 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.507 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.507 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.507 * [taylor]: Taking taylor expansion of 1.0 in n 16.507 * [backup-simplify]: Simplify 1.0 into 1.0 16.507 * [taylor]: Taking taylor expansion of (log n) in n 16.507 * [taylor]: Taking taylor expansion of n in n 16.507 * [backup-simplify]: Simplify 0 into 0 16.507 * [backup-simplify]: Simplify 1 into 1 16.508 * [backup-simplify]: Simplify (log 1) into 0 16.508 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.508 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.508 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.508 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.508 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.508 * [taylor]: Taking taylor expansion of 1.0 in n 16.508 * [backup-simplify]: Simplify 1.0 into 1.0 16.508 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.508 * [taylor]: Taking taylor expansion of 2.0 in n 16.508 * [backup-simplify]: Simplify 2.0 into 2.0 16.509 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.509 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.510 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.510 * [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) 16.511 * [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) 16.512 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 16.513 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 16.514 * [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) 16.514 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 16.514 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 16.514 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 16.514 * [taylor]: Taking taylor expansion of +nan.0 in n 16.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.514 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 16.514 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 16.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 16.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 16.514 * [taylor]: Taking taylor expansion of 0.5 in n 16.514 * [backup-simplify]: Simplify 0.5 into 0.5 16.514 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 16.514 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 16.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.514 * [taylor]: Taking taylor expansion of 1.0 in n 16.514 * [backup-simplify]: Simplify 1.0 into 1.0 16.514 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.514 * [taylor]: Taking taylor expansion of 2.0 in n 16.514 * [backup-simplify]: Simplify 2.0 into 2.0 16.515 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.515 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.516 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.516 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 16.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.516 * [taylor]: Taking taylor expansion of 1.0 in n 16.516 * [backup-simplify]: Simplify 1.0 into 1.0 16.516 * [taylor]: Taking taylor expansion of (log PI) in n 16.516 * [taylor]: Taking taylor expansion of PI in n 16.516 * [backup-simplify]: Simplify PI into PI 16.517 * [backup-simplify]: Simplify (log PI) into (log PI) 16.517 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.518 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.518 * [taylor]: Taking taylor expansion of 1.0 in n 16.518 * [backup-simplify]: Simplify 1.0 into 1.0 16.518 * [taylor]: Taking taylor expansion of (log n) in n 16.518 * [taylor]: Taking taylor expansion of n in n 16.518 * [backup-simplify]: Simplify 0 into 0 16.518 * [backup-simplify]: Simplify 1 into 1 16.519 * [backup-simplify]: Simplify (log 1) into 0 16.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.519 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.519 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.520 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 16.521 * [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) 16.521 * [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)) 16.522 * [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))) 16.523 * [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) 16.523 * [taylor]: Taking taylor expansion of (log n) in n 16.523 * [taylor]: Taking taylor expansion of n in n 16.523 * [backup-simplify]: Simplify 0 into 0 16.523 * [backup-simplify]: Simplify 1 into 1 16.523 * [backup-simplify]: Simplify (log 1) into 0 16.524 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 16.524 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 16.524 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 16.524 * [taylor]: Taking taylor expansion of +nan.0 in n 16.524 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.524 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 16.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 16.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 16.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 16.524 * [taylor]: Taking taylor expansion of 0.5 in n 16.524 * [backup-simplify]: Simplify 0.5 into 0.5 16.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 16.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 16.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.524 * [taylor]: Taking taylor expansion of 1.0 in n 16.524 * [backup-simplify]: Simplify 1.0 into 1.0 16.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.524 * [taylor]: Taking taylor expansion of 2.0 in n 16.524 * [backup-simplify]: Simplify 2.0 into 2.0 16.524 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.525 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.526 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.526 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 16.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.526 * [taylor]: Taking taylor expansion of 1.0 in n 16.526 * [backup-simplify]: Simplify 1.0 into 1.0 16.526 * [taylor]: Taking taylor expansion of (log PI) in n 16.526 * [taylor]: Taking taylor expansion of PI in n 16.526 * [backup-simplify]: Simplify PI into PI 16.526 * [backup-simplify]: Simplify (log PI) into (log PI) 16.527 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.528 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.528 * [taylor]: Taking taylor expansion of 1.0 in n 16.528 * [backup-simplify]: Simplify 1.0 into 1.0 16.528 * [taylor]: Taking taylor expansion of (log n) in n 16.528 * [taylor]: Taking taylor expansion of n in n 16.528 * [backup-simplify]: Simplify 0 into 0 16.528 * [backup-simplify]: Simplify 1 into 1 16.528 * [backup-simplify]: Simplify (log 1) into 0 16.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.529 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.529 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.529 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 16.530 * [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) 16.532 * [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)) 16.533 * [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))) 16.535 * [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) 16.535 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 16.535 * [taylor]: Taking taylor expansion of (log n) in n 16.535 * [taylor]: Taking taylor expansion of n in n 16.535 * [backup-simplify]: Simplify 0 into 0 16.535 * [backup-simplify]: Simplify 1 into 1 16.535 * [backup-simplify]: Simplify (log 1) into 0 16.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.536 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 16.536 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 16.536 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 16.536 * [taylor]: Taking taylor expansion of +nan.0 in n 16.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.536 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 16.536 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.536 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.536 * [taylor]: Taking taylor expansion of 2.0 in n 16.536 * [backup-simplify]: Simplify 2.0 into 2.0 16.536 * [taylor]: Taking taylor expansion of PI in n 16.536 * [backup-simplify]: Simplify PI into PI 16.537 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.538 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.538 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.538 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.538 * [taylor]: Taking taylor expansion of 0.5 in n 16.538 * [backup-simplify]: Simplify 0.5 into 0.5 16.538 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.538 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.539 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.539 * [taylor]: Taking taylor expansion of 1.0 in n 16.539 * [backup-simplify]: Simplify 1.0 into 1.0 16.539 * [taylor]: Taking taylor expansion of (log PI) in n 16.539 * [taylor]: Taking taylor expansion of PI in n 16.539 * [backup-simplify]: Simplify PI into PI 16.539 * [backup-simplify]: Simplify (log PI) into (log PI) 16.540 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.542 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.542 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.542 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.542 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.542 * [taylor]: Taking taylor expansion of 1.0 in n 16.542 * [backup-simplify]: Simplify 1.0 into 1.0 16.542 * [taylor]: Taking taylor expansion of (log n) in n 16.543 * [taylor]: Taking taylor expansion of n in n 16.543 * [backup-simplify]: Simplify 0 into 0 16.543 * [backup-simplify]: Simplify 1 into 1 16.543 * [backup-simplify]: Simplify (log 1) into 0 16.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.544 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.544 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.544 * [taylor]: Taking taylor expansion of 1.0 in n 16.544 * [backup-simplify]: Simplify 1.0 into 1.0 16.544 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.544 * [taylor]: Taking taylor expansion of 2.0 in n 16.544 * [backup-simplify]: Simplify 2.0 into 2.0 16.544 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.545 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.547 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.548 * [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) 16.549 * [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) 16.551 * [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)) 16.552 * [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))) 16.554 * [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) 16.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 16.554 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 16.554 * [taylor]: Taking taylor expansion of +nan.0 in n 16.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.554 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 16.554 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 16.554 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.554 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.554 * [taylor]: Taking taylor expansion of 2.0 in n 16.554 * [backup-simplify]: Simplify 2.0 into 2.0 16.554 * [taylor]: Taking taylor expansion of PI in n 16.554 * [backup-simplify]: Simplify PI into PI 16.555 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.556 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.556 * [taylor]: Taking taylor expansion of (log n) in n 16.556 * [taylor]: Taking taylor expansion of n in n 16.556 * [backup-simplify]: Simplify 0 into 0 16.556 * [backup-simplify]: Simplify 1 into 1 16.556 * [backup-simplify]: Simplify (log 1) into 0 16.556 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 16.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 16.556 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 16.556 * [taylor]: Taking taylor expansion of 0.5 in n 16.556 * [backup-simplify]: Simplify 0.5 into 0.5 16.556 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 16.557 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 16.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.557 * [taylor]: Taking taylor expansion of 1.0 in n 16.557 * [backup-simplify]: Simplify 1.0 into 1.0 16.557 * [taylor]: Taking taylor expansion of (log PI) in n 16.557 * [taylor]: Taking taylor expansion of PI in n 16.557 * [backup-simplify]: Simplify PI into PI 16.557 * [backup-simplify]: Simplify (log PI) into (log PI) 16.558 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.560 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.560 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 16.560 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.560 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.560 * [taylor]: Taking taylor expansion of 1.0 in n 16.560 * [backup-simplify]: Simplify 1.0 into 1.0 16.560 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.560 * [taylor]: Taking taylor expansion of 2.0 in n 16.560 * [backup-simplify]: Simplify 2.0 into 2.0 16.561 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.562 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.564 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.564 * [taylor]: Taking taylor expansion of 1.0 in n 16.564 * [backup-simplify]: Simplify 1.0 into 1.0 16.564 * [taylor]: Taking taylor expansion of (log n) in n 16.564 * [taylor]: Taking taylor expansion of n in n 16.564 * [backup-simplify]: Simplify 0 into 0 16.564 * [backup-simplify]: Simplify 1 into 1 16.564 * [backup-simplify]: Simplify (log 1) into 0 16.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.565 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.565 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.566 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 16.567 * [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) 16.569 * [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)) 16.570 * [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))) 16.578 * [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) 16.580 * [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)) 16.583 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 16.587 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 16.590 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 16.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.592 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 16.594 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 16.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.595 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 16.597 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 16.598 * [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))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 16.601 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 16.604 * [backup-simplify]: Simplify (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 16.604 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.606 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 16.608 * [backup-simplify]: Simplify (* (* (log (* 2.0 PI)) (log n)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) 16.610 * [backup-simplify]: Simplify (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 16.612 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 16.615 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 16.618 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) 16.622 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 16.627 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) 16.633 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) 16.639 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) 16.646 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 16.655 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 16.665 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 16.680 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 16.693 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) 16.709 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (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))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 16.710 * [backup-simplify]: Simplify (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (sqrt (/ 1 k)))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) 16.710 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 16.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 16.710 * [taylor]: Taking taylor expansion of 1.0 in n 16.710 * [backup-simplify]: Simplify 1.0 into 1.0 16.710 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 16.710 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.710 * [taylor]: Taking taylor expansion of k in n 16.710 * [backup-simplify]: Simplify k into k 16.710 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.710 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 16.710 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.710 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.710 * [taylor]: Taking taylor expansion of 0.5 in n 16.710 * [backup-simplify]: Simplify 0.5 into 0.5 16.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.710 * [taylor]: Taking taylor expansion of 1.0 in n 16.710 * [backup-simplify]: Simplify 1.0 into 1.0 16.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.710 * [taylor]: Taking taylor expansion of k in n 16.710 * [backup-simplify]: Simplify k into k 16.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.710 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.710 * [taylor]: Taking taylor expansion of n in n 16.710 * [backup-simplify]: Simplify 0 into 0 16.710 * [backup-simplify]: Simplify 1 into 1 16.711 * [backup-simplify]: Simplify (/ 1 1) into 1 16.711 * [backup-simplify]: Simplify (log 1) into 0 16.711 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.711 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.711 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.711 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.711 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 16.712 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 16.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 16.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.712 * [taylor]: Taking taylor expansion of 0.5 in n 16.712 * [backup-simplify]: Simplify 0.5 into 0.5 16.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.712 * [taylor]: Taking taylor expansion of 1.0 in n 16.712 * [backup-simplify]: Simplify 1.0 into 1.0 16.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.712 * [taylor]: Taking taylor expansion of k in n 16.712 * [backup-simplify]: Simplify k into k 16.712 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.712 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.712 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.712 * [taylor]: Taking taylor expansion of 2.0 in n 16.712 * [backup-simplify]: Simplify 2.0 into 2.0 16.712 * [taylor]: Taking taylor expansion of PI in n 16.712 * [backup-simplify]: Simplify PI into PI 16.712 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.713 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.713 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.713 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.713 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.714 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.715 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 16.715 * [taylor]: Taking taylor expansion of 1.0 in k 16.715 * [backup-simplify]: Simplify 1.0 into 1.0 16.715 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 16.715 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.715 * [taylor]: Taking taylor expansion of k in k 16.715 * [backup-simplify]: Simplify 0 into 0 16.715 * [backup-simplify]: Simplify 1 into 1 16.715 * [backup-simplify]: Simplify (sqrt 0) into 0 16.716 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.716 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.716 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.716 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.716 * [taylor]: Taking taylor expansion of 0.5 in k 16.716 * [backup-simplify]: Simplify 0.5 into 0.5 16.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.716 * [taylor]: Taking taylor expansion of 1.0 in k 16.716 * [backup-simplify]: Simplify 1.0 into 1.0 16.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.716 * [taylor]: Taking taylor expansion of k in k 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [backup-simplify]: Simplify 1 into 1 16.717 * [backup-simplify]: Simplify (/ 1 1) into 1 16.717 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.717 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.717 * [taylor]: Taking taylor expansion of n in k 16.717 * [backup-simplify]: Simplify n into n 16.717 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.717 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.717 * [backup-simplify]: Simplify (- 1) into -1 16.717 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.718 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.718 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 16.718 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.718 * [taylor]: Taking taylor expansion of 0.5 in k 16.718 * [backup-simplify]: Simplify 0.5 into 0.5 16.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.718 * [taylor]: Taking taylor expansion of 1.0 in k 16.718 * [backup-simplify]: Simplify 1.0 into 1.0 16.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.718 * [taylor]: Taking taylor expansion of k in k 16.718 * [backup-simplify]: Simplify 0 into 0 16.718 * [backup-simplify]: Simplify 1 into 1 16.718 * [backup-simplify]: Simplify (/ 1 1) into 1 16.718 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.718 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.718 * [taylor]: Taking taylor expansion of 2.0 in k 16.718 * [backup-simplify]: Simplify 2.0 into 2.0 16.718 * [taylor]: Taking taylor expansion of PI in k 16.719 * [backup-simplify]: Simplify PI into PI 16.719 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.719 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.720 * [backup-simplify]: Simplify (- 1) into -1 16.720 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.720 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.721 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.722 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.722 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 16.722 * [taylor]: Taking taylor expansion of 1.0 in k 16.722 * [backup-simplify]: Simplify 1.0 into 1.0 16.722 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 16.722 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.722 * [taylor]: Taking taylor expansion of k in k 16.722 * [backup-simplify]: Simplify 0 into 0 16.722 * [backup-simplify]: Simplify 1 into 1 16.722 * [backup-simplify]: Simplify (sqrt 0) into 0 16.723 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.723 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.723 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.723 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.723 * [taylor]: Taking taylor expansion of 0.5 in k 16.723 * [backup-simplify]: Simplify 0.5 into 0.5 16.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.723 * [taylor]: Taking taylor expansion of 1.0 in k 16.723 * [backup-simplify]: Simplify 1.0 into 1.0 16.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.724 * [taylor]: Taking taylor expansion of k in k 16.724 * [backup-simplify]: Simplify 0 into 0 16.724 * [backup-simplify]: Simplify 1 into 1 16.724 * [backup-simplify]: Simplify (/ 1 1) into 1 16.724 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.724 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.724 * [taylor]: Taking taylor expansion of n in k 16.724 * [backup-simplify]: Simplify n into n 16.724 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.724 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.724 * [backup-simplify]: Simplify (- 1) into -1 16.724 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.725 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.725 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 16.725 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 16.725 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 16.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 16.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.725 * [taylor]: Taking taylor expansion of 0.5 in k 16.725 * [backup-simplify]: Simplify 0.5 into 0.5 16.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.725 * [taylor]: Taking taylor expansion of 1.0 in k 16.725 * [backup-simplify]: Simplify 1.0 into 1.0 16.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.725 * [taylor]: Taking taylor expansion of k in k 16.725 * [backup-simplify]: Simplify 0 into 0 16.725 * [backup-simplify]: Simplify 1 into 1 16.725 * [backup-simplify]: Simplify (/ 1 1) into 1 16.725 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.725 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.725 * [taylor]: Taking taylor expansion of 2.0 in k 16.726 * [backup-simplify]: Simplify 2.0 into 2.0 16.726 * [taylor]: Taking taylor expansion of PI in k 16.726 * [backup-simplify]: Simplify PI into PI 16.726 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.726 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.727 * [backup-simplify]: Simplify (- 1) into -1 16.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.727 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.728 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.729 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.730 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) 16.731 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 16.731 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.731 * [taylor]: Taking taylor expansion of 0 in n 16.731 * [backup-simplify]: Simplify 0 into 0 16.731 * [backup-simplify]: Simplify 0 into 0 16.732 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 16.733 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.734 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.735 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 16.735 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 16.735 * [taylor]: Taking taylor expansion of +nan.0 in n 16.735 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.735 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 16.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 16.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 16.735 * [taylor]: Taking taylor expansion of 0.5 in n 16.735 * [backup-simplify]: Simplify 0.5 into 0.5 16.735 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 16.735 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.735 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.735 * [taylor]: Taking taylor expansion of n in n 16.735 * [backup-simplify]: Simplify 0 into 0 16.735 * [backup-simplify]: Simplify 1 into 1 16.735 * [backup-simplify]: Simplify (/ 1 1) into 1 16.735 * [backup-simplify]: Simplify (log 1) into 0 16.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.735 * [taylor]: Taking taylor expansion of 1.0 in n 16.735 * [backup-simplify]: Simplify 1.0 into 1.0 16.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.735 * [taylor]: Taking taylor expansion of k in n 16.735 * [backup-simplify]: Simplify k into k 16.735 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.736 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.736 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.736 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 16.736 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 16.736 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 16.736 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 16.736 * [taylor]: Taking taylor expansion of 0.5 in n 16.736 * [backup-simplify]: Simplify 0.5 into 0.5 16.736 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 16.736 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.736 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.736 * [taylor]: Taking taylor expansion of 2.0 in n 16.736 * [backup-simplify]: Simplify 2.0 into 2.0 16.736 * [taylor]: Taking taylor expansion of PI in n 16.736 * [backup-simplify]: Simplify PI into PI 16.737 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.737 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.737 * [taylor]: Taking taylor expansion of 1.0 in n 16.737 * [backup-simplify]: Simplify 1.0 into 1.0 16.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.737 * [taylor]: Taking taylor expansion of k in n 16.737 * [backup-simplify]: Simplify k into k 16.737 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.738 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.738 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.738 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 16.739 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.740 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.741 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 16.741 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) 16.742 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) 16.743 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) 16.743 * [backup-simplify]: Simplify 0 into 0 16.744 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 16.746 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.750 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.750 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 16.750 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 16.750 * [taylor]: Taking taylor expansion of +nan.0 in n 16.750 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.750 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 16.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 16.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 16.751 * [taylor]: Taking taylor expansion of 0.5 in n 16.751 * [backup-simplify]: Simplify 0.5 into 0.5 16.751 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 16.751 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.751 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.751 * [taylor]: Taking taylor expansion of n in n 16.751 * [backup-simplify]: Simplify 0 into 0 16.751 * [backup-simplify]: Simplify 1 into 1 16.751 * [backup-simplify]: Simplify (/ 1 1) into 1 16.752 * [backup-simplify]: Simplify (log 1) into 0 16.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.752 * [taylor]: Taking taylor expansion of 1.0 in n 16.752 * [backup-simplify]: Simplify 1.0 into 1.0 16.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.752 * [taylor]: Taking taylor expansion of k in n 16.752 * [backup-simplify]: Simplify k into k 16.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.752 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.753 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.753 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 16.753 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 16.754 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 16.754 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 16.754 * [taylor]: Taking taylor expansion of 0.5 in n 16.754 * [backup-simplify]: Simplify 0.5 into 0.5 16.754 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 16.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.754 * [taylor]: Taking taylor expansion of 2.0 in n 16.754 * [backup-simplify]: Simplify 2.0 into 2.0 16.754 * [taylor]: Taking taylor expansion of PI in n 16.754 * [backup-simplify]: Simplify PI into PI 16.755 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.756 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.756 * [taylor]: Taking taylor expansion of 1.0 in n 16.756 * [backup-simplify]: Simplify 1.0 into 1.0 16.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.756 * [taylor]: Taking taylor expansion of k in n 16.756 * [backup-simplify]: Simplify k into k 16.756 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.756 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.756 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.757 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 16.759 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.760 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.761 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 16.763 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) 16.764 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) 16.766 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) 16.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.767 * [backup-simplify]: Simplify (- 0) into 0 16.767 * [backup-simplify]: Simplify (+ 0 0) into 0 16.768 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.770 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.771 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.772 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 16.774 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.775 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.775 * [backup-simplify]: Simplify (- 0) into 0 16.776 * [backup-simplify]: Simplify (+ 0 0) into 0 16.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.778 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 16.780 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.781 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 16.783 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into 0 16.784 * [backup-simplify]: Simplify (- 0) into 0 16.784 * [backup-simplify]: Simplify 0 into 0 16.784 * [backup-simplify]: Simplify 0 into 0 16.786 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 16.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.804 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) 16.805 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 16.805 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 16.805 * [taylor]: Taking taylor expansion of +nan.0 in n 16.805 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.805 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 16.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 16.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 16.805 * [taylor]: Taking taylor expansion of 0.5 in n 16.805 * [backup-simplify]: Simplify 0.5 into 0.5 16.805 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 16.805 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.805 * [taylor]: Taking taylor expansion of n in n 16.805 * [backup-simplify]: Simplify 0 into 0 16.805 * [backup-simplify]: Simplify 1 into 1 16.806 * [backup-simplify]: Simplify (/ 1 1) into 1 16.806 * [backup-simplify]: Simplify (log 1) into 0 16.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.806 * [taylor]: Taking taylor expansion of 1.0 in n 16.806 * [backup-simplify]: Simplify 1.0 into 1.0 16.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.806 * [taylor]: Taking taylor expansion of k in n 16.806 * [backup-simplify]: Simplify k into k 16.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.807 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.807 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.807 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 16.807 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 16.808 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 16.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 16.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 16.808 * [taylor]: Taking taylor expansion of 0.5 in n 16.808 * [backup-simplify]: Simplify 0.5 into 0.5 16.808 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 16.808 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.808 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.808 * [taylor]: Taking taylor expansion of 2.0 in n 16.808 * [backup-simplify]: Simplify 2.0 into 2.0 16.808 * [taylor]: Taking taylor expansion of PI in n 16.808 * [backup-simplify]: Simplify PI into PI 16.808 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.810 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.810 * [taylor]: Taking taylor expansion of 1.0 in n 16.810 * [backup-simplify]: Simplify 1.0 into 1.0 16.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.810 * [taylor]: Taking taylor expansion of k in n 16.810 * [backup-simplify]: Simplify k into k 16.810 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.810 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.810 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.811 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 16.812 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 16.814 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 16.815 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 16.816 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))))) 16.818 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) 16.819 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))))) 16.825 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2)))))))) 16.827 * [backup-simplify]: Simplify (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (sqrt (/ 1 (- k))))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 16.827 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 16.827 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 16.827 * [taylor]: Taking taylor expansion of 1.0 in n 16.827 * [backup-simplify]: Simplify 1.0 into 1.0 16.827 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 16.827 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 16.827 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.827 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.827 * [taylor]: Taking taylor expansion of 0.5 in n 16.827 * [backup-simplify]: Simplify 0.5 into 0.5 16.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.827 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.827 * [taylor]: Taking taylor expansion of k in n 16.827 * [backup-simplify]: Simplify k into k 16.827 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.827 * [taylor]: Taking taylor expansion of 1.0 in n 16.827 * [backup-simplify]: Simplify 1.0 into 1.0 16.827 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.827 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.827 * [taylor]: Taking taylor expansion of -1 in n 16.827 * [backup-simplify]: Simplify -1 into -1 16.827 * [taylor]: Taking taylor expansion of n in n 16.827 * [backup-simplify]: Simplify 0 into 0 16.827 * [backup-simplify]: Simplify 1 into 1 16.828 * [backup-simplify]: Simplify (/ -1 1) into -1 16.828 * [backup-simplify]: Simplify (log -1) into (log -1) 16.828 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.828 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.830 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.831 * [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)))) 16.831 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 16.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 16.831 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.831 * [taylor]: Taking taylor expansion of 0.5 in n 16.831 * [backup-simplify]: Simplify 0.5 into 0.5 16.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.831 * [taylor]: Taking taylor expansion of k in n 16.831 * [backup-simplify]: Simplify k into k 16.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.831 * [taylor]: Taking taylor expansion of 1.0 in n 16.831 * [backup-simplify]: Simplify 1.0 into 1.0 16.831 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.831 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.831 * [taylor]: Taking taylor expansion of 2.0 in n 16.831 * [backup-simplify]: Simplify 2.0 into 2.0 16.831 * [taylor]: Taking taylor expansion of PI in n 16.831 * [backup-simplify]: Simplify PI into PI 16.832 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.833 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.833 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.833 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.835 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.836 * [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)))) 16.836 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 16.836 * [taylor]: Taking taylor expansion of (/ -1 k) in n 16.836 * [taylor]: Taking taylor expansion of -1 in n 16.836 * [backup-simplify]: Simplify -1 into -1 16.836 * [taylor]: Taking taylor expansion of k in n 16.836 * [backup-simplify]: Simplify k into k 16.836 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 16.836 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 16.836 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 16.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 16.838 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 16.841 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) into (/ (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) 16.841 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 16.841 * [taylor]: Taking taylor expansion of 1.0 in k 16.841 * [backup-simplify]: Simplify 1.0 into 1.0 16.841 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 16.841 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 16.841 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.841 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.841 * [taylor]: Taking taylor expansion of 0.5 in k 16.841 * [backup-simplify]: Simplify 0.5 into 0.5 16.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.841 * [taylor]: Taking taylor expansion of k in k 16.841 * [backup-simplify]: Simplify 0 into 0 16.841 * [backup-simplify]: Simplify 1 into 1 16.842 * [backup-simplify]: Simplify (/ 1 1) into 1 16.842 * [taylor]: Taking taylor expansion of 1.0 in k 16.842 * [backup-simplify]: Simplify 1.0 into 1.0 16.842 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.842 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.842 * [taylor]: Taking taylor expansion of -1 in k 16.842 * [backup-simplify]: Simplify -1 into -1 16.842 * [taylor]: Taking taylor expansion of n in k 16.842 * [backup-simplify]: Simplify n into n 16.842 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.842 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.843 * [backup-simplify]: Simplify (+ 1 0) into 1 16.843 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.843 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 16.843 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.844 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.844 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.844 * [taylor]: Taking taylor expansion of 0.5 in k 16.844 * [backup-simplify]: Simplify 0.5 into 0.5 16.844 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.844 * [taylor]: Taking taylor expansion of k in k 16.844 * [backup-simplify]: Simplify 0 into 0 16.844 * [backup-simplify]: Simplify 1 into 1 16.844 * [backup-simplify]: Simplify (/ 1 1) into 1 16.844 * [taylor]: Taking taylor expansion of 1.0 in k 16.844 * [backup-simplify]: Simplify 1.0 into 1.0 16.844 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.844 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.844 * [taylor]: Taking taylor expansion of 2.0 in k 16.845 * [backup-simplify]: Simplify 2.0 into 2.0 16.845 * [taylor]: Taking taylor expansion of PI in k 16.845 * [backup-simplify]: Simplify PI into PI 16.845 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.846 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.847 * [backup-simplify]: Simplify (+ 1 0) into 1 16.847 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.849 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.850 * [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)))) 16.850 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.850 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.850 * [taylor]: Taking taylor expansion of -1 in k 16.850 * [backup-simplify]: Simplify -1 into -1 16.850 * [taylor]: Taking taylor expansion of k in k 16.850 * [backup-simplify]: Simplify 0 into 0 16.851 * [backup-simplify]: Simplify 1 into 1 16.851 * [backup-simplify]: Simplify (/ -1 1) into -1 16.851 * [backup-simplify]: Simplify (sqrt 0) into 0 16.853 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.854 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 16.856 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 16.856 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 16.856 * [taylor]: Taking taylor expansion of 1.0 in k 16.856 * [backup-simplify]: Simplify 1.0 into 1.0 16.856 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 16.856 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 16.856 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.856 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.856 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.856 * [taylor]: Taking taylor expansion of 0.5 in k 16.856 * [backup-simplify]: Simplify 0.5 into 0.5 16.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.856 * [taylor]: Taking taylor expansion of k in k 16.857 * [backup-simplify]: Simplify 0 into 0 16.857 * [backup-simplify]: Simplify 1 into 1 16.857 * [backup-simplify]: Simplify (/ 1 1) into 1 16.857 * [taylor]: Taking taylor expansion of 1.0 in k 16.857 * [backup-simplify]: Simplify 1.0 into 1.0 16.857 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.857 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.857 * [taylor]: Taking taylor expansion of -1 in k 16.857 * [backup-simplify]: Simplify -1 into -1 16.857 * [taylor]: Taking taylor expansion of n in k 16.857 * [backup-simplify]: Simplify n into n 16.857 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.857 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.858 * [backup-simplify]: Simplify (+ 1 0) into 1 16.858 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.858 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 16.859 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 16.859 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 16.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 16.859 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.859 * [taylor]: Taking taylor expansion of 0.5 in k 16.859 * [backup-simplify]: Simplify 0.5 into 0.5 16.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.859 * [taylor]: Taking taylor expansion of k in k 16.859 * [backup-simplify]: Simplify 0 into 0 16.859 * [backup-simplify]: Simplify 1 into 1 16.859 * [backup-simplify]: Simplify (/ 1 1) into 1 16.860 * [taylor]: Taking taylor expansion of 1.0 in k 16.860 * [backup-simplify]: Simplify 1.0 into 1.0 16.860 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.860 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.860 * [taylor]: Taking taylor expansion of 2.0 in k 16.860 * [backup-simplify]: Simplify 2.0 into 2.0 16.860 * [taylor]: Taking taylor expansion of PI in k 16.860 * [backup-simplify]: Simplify PI into PI 16.860 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.861 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.862 * [backup-simplify]: Simplify (+ 1 0) into 1 16.862 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.864 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.865 * [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)))) 16.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.865 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.865 * [taylor]: Taking taylor expansion of -1 in k 16.865 * [backup-simplify]: Simplify -1 into -1 16.865 * [taylor]: Taking taylor expansion of k in k 16.866 * [backup-simplify]: Simplify 0 into 0 16.866 * [backup-simplify]: Simplify 1 into 1 16.866 * [backup-simplify]: Simplify (/ -1 1) into -1 16.866 * [backup-simplify]: Simplify (sqrt 0) into 0 16.868 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.869 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 16.871 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 16.872 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 16.873 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 16.873 * [taylor]: Taking taylor expansion of +nan.0 in n 16.873 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.873 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 16.873 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 16.873 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 16.873 * [taylor]: Taking taylor expansion of 0.5 in n 16.873 * [backup-simplify]: Simplify 0.5 into 0.5 16.873 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 16.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.873 * [taylor]: Taking taylor expansion of k in n 16.873 * [backup-simplify]: Simplify k into k 16.873 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.873 * [taylor]: Taking taylor expansion of 1.0 in n 16.873 * [backup-simplify]: Simplify 1.0 into 1.0 16.873 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.873 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.873 * [taylor]: Taking taylor expansion of -1 in n 16.873 * [backup-simplify]: Simplify -1 into -1 16.873 * [taylor]: Taking taylor expansion of n in n 16.873 * [backup-simplify]: Simplify 0 into 0 16.873 * [backup-simplify]: Simplify 1 into 1 16.874 * [backup-simplify]: Simplify (/ -1 1) into -1 16.874 * [backup-simplify]: Simplify (log -1) into (log -1) 16.874 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.875 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.876 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 16.876 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.877 * [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)))) 16.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 16.877 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 16.877 * [taylor]: Taking taylor expansion of 0.5 in n 16.877 * [backup-simplify]: Simplify 0.5 into 0.5 16.877 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 16.877 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.877 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.877 * [taylor]: Taking taylor expansion of 2.0 in n 16.877 * [backup-simplify]: Simplify 2.0 into 2.0 16.877 * [taylor]: Taking taylor expansion of PI in n 16.877 * [backup-simplify]: Simplify PI into PI 16.878 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.879 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.879 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.879 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.879 * [taylor]: Taking taylor expansion of k in n 16.879 * [backup-simplify]: Simplify k into k 16.879 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.879 * [taylor]: Taking taylor expansion of 1.0 in n 16.879 * [backup-simplify]: Simplify 1.0 into 1.0 16.879 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.881 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 16.882 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.883 * [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)))) 16.885 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 16.887 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 16.889 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 16.891 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 16.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.895 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.897 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.900 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.901 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 16.901 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 16.901 * [taylor]: Taking taylor expansion of +nan.0 in n 16.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.901 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 16.901 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 16.901 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 16.901 * [taylor]: Taking taylor expansion of 0.5 in n 16.901 * [backup-simplify]: Simplify 0.5 into 0.5 16.901 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 16.901 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.901 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.901 * [taylor]: Taking taylor expansion of k in n 16.901 * [backup-simplify]: Simplify k into k 16.901 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.901 * [taylor]: Taking taylor expansion of 1.0 in n 16.901 * [backup-simplify]: Simplify 1.0 into 1.0 16.901 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.901 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.901 * [taylor]: Taking taylor expansion of -1 in n 16.901 * [backup-simplify]: Simplify -1 into -1 16.901 * [taylor]: Taking taylor expansion of n in n 16.901 * [backup-simplify]: Simplify 0 into 0 16.901 * [backup-simplify]: Simplify 1 into 1 16.902 * [backup-simplify]: Simplify (/ -1 1) into -1 16.902 * [backup-simplify]: Simplify (log -1) into (log -1) 16.902 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.904 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 16.905 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.905 * [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)))) 16.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 16.905 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 16.905 * [taylor]: Taking taylor expansion of 0.5 in n 16.905 * [backup-simplify]: Simplify 0.5 into 0.5 16.905 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 16.905 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.905 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.905 * [taylor]: Taking taylor expansion of 2.0 in n 16.906 * [backup-simplify]: Simplify 2.0 into 2.0 16.906 * [taylor]: Taking taylor expansion of PI in n 16.906 * [backup-simplify]: Simplify PI into PI 16.906 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.907 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.907 * [taylor]: Taking taylor expansion of k in n 16.907 * [backup-simplify]: Simplify k into k 16.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.907 * [taylor]: Taking taylor expansion of 1.0 in n 16.908 * [backup-simplify]: Simplify 1.0 into 1.0 16.908 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.909 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 16.910 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.912 * [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)))) 16.913 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 16.914 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 16.916 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 16.917 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 16.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.917 * [backup-simplify]: Simplify (+ 0 0) into 0 16.918 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.919 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 16.921 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.923 * [backup-simplify]: Simplify (+ 0 0) into 0 16.924 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.924 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 16.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 16.926 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.927 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 16.928 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 16.929 * [backup-simplify]: Simplify 0 into 0 16.930 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 16.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.935 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.938 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) 16.938 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 16.938 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 16.938 * [taylor]: Taking taylor expansion of +nan.0 in n 16.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.938 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 16.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 16.938 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 16.938 * [taylor]: Taking taylor expansion of 0.5 in n 16.938 * [backup-simplify]: Simplify 0.5 into 0.5 16.939 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 16.939 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.939 * [taylor]: Taking taylor expansion of k in n 16.939 * [backup-simplify]: Simplify k into k 16.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.939 * [taylor]: Taking taylor expansion of 1.0 in n 16.939 * [backup-simplify]: Simplify 1.0 into 1.0 16.939 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.939 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.939 * [taylor]: Taking taylor expansion of -1 in n 16.939 * [backup-simplify]: Simplify -1 into -1 16.939 * [taylor]: Taking taylor expansion of n in n 16.939 * [backup-simplify]: Simplify 0 into 0 16.939 * [backup-simplify]: Simplify 1 into 1 16.939 * [backup-simplify]: Simplify (/ -1 1) into -1 16.939 * [backup-simplify]: Simplify (log -1) into (log -1) 16.939 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.940 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.940 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 16.941 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.945 * [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)))) 16.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 16.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 16.945 * [taylor]: Taking taylor expansion of 0.5 in n 16.945 * [backup-simplify]: Simplify 0.5 into 0.5 16.945 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 16.945 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.945 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.945 * [taylor]: Taking taylor expansion of 2.0 in n 16.945 * [backup-simplify]: Simplify 2.0 into 2.0 16.945 * [taylor]: Taking taylor expansion of PI in n 16.945 * [backup-simplify]: Simplify PI into PI 16.946 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.947 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.947 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.947 * [taylor]: Taking taylor expansion of k in n 16.947 * [backup-simplify]: Simplify k into k 16.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.947 * [taylor]: Taking taylor expansion of 1.0 in n 16.947 * [backup-simplify]: Simplify 1.0 into 1.0 16.947 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.948 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 16.948 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 16.949 * [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)))) 16.950 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 16.951 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 16.953 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 16.954 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 16.958 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))))))) 16.958 * * * [progress]: simplifying candidates 16.961 * [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 (sqrt k))) (- (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 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1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))))))) 16.969 * * [simplify]: Extracting # 0 : cost 0 16.969 * * [simplify]: Extracting # 1 : cost 0 16.970 * * [simplify]: Extracting # 2 : cost 0 16.971 * * [simplify]: Extracting # 3 : cost 0 16.972 * * [simplify]: Extracting # 4 : cost 0 16.973 * * [simplify]: Extracting # 5 : cost 0 16.974 * * [simplify]: Extracting # 6 : cost 0 16.975 * * [simplify]: Extracting # 7 : cost 0 16.976 * * [simplify]: Extracting # 8 : cost 0 16.978 * * [simplify]: Extracting # 9 : cost 0 16.979 * * [simplify]: Extracting # 10 : cost 0 16.980 * * [simplify]: Extracting # 11 : cost 0 16.981 * * [simplify]: Extracting # 12 : cost 0 16.982 * * [simplify]: Extracting # 13 : cost 0 16.984 * * [simplify]: Extracting # 14 : cost 0 16.985 * * [simplify]: Extracting # 15 : cost 0 16.986 * * [simplify]: Extracting # 16 : cost 0 16.988 * * [simplify]: Extracting # 17 : cost 0 16.989 * * [simplify]: Extracting # 18 : cost 0 16.990 * * [simplify]: Extracting # 19 : cost 0 16.991 * * [simplify]: Extracting # 20 : cost 0 16.993 * * [simplify]: Extracting # 21 : cost 0 16.994 * * [simplify]: Extracting # 22 : cost 0 16.995 * * [simplify]: Extracting # 23 : cost 0 16.997 * * [simplify]: Extracting # 24 : cost 0 16.998 * * [simplify]: Extracting # 25 : cost 0 16.999 * * [simplify]: Extracting # 26 : cost 0 17.001 * * [simplify]: Extracting # 27 : cost 0 17.002 * * [simplify]: Extracting # 28 : cost 0 17.004 * * [simplify]: Extracting # 29 : cost 0 17.005 * * [simplify]: Extracting # 30 : cost 0 17.006 * * [simplify]: Extracting # 31 : cost 0 17.007 * * [simplify]: Extracting # 32 : cost 0 17.009 * * [simplify]: Extracting # 33 : cost 0 17.010 * * [simplify]: Extracting # 34 : cost 0 17.012 * * [simplify]: iteration 0 : 400 enodes (cost 3912 ) 17.182 * * [simplify]: Extracting # 0 : cost 0 17.184 * * [simplify]: Extracting # 1 : cost 0 17.185 * * [simplify]: Extracting # 2 : cost 0 17.187 * * [simplify]: Extracting # 3 : cost 0 17.188 * * [simplify]: Extracting # 4 : cost 0 17.190 * * [simplify]: Extracting # 5 : cost 0 17.191 * * [simplify]: Extracting # 6 : cost 0 17.193 * * [simplify]: Extracting # 7 : cost 0 17.194 * * [simplify]: iteration 1 : 1026 enodes (cost 3662 ) 17.698 * * [simplify]: Extracting # 0 : cost 0 17.706 * * [simplify]: Extracting # 1 : cost 0 17.715 * * [simplify]: Extracting # 2 : cost 0 17.724 * * [simplify]: Extracting # 3 : cost 0 17.733 * * [simplify]: Extracting # 4 : cost 0 17.737 * * [simplify]: Extracting # 5 : cost 0 17.742 * * [simplify]: iteration 2 : 3389 enodes (cost 3446 ) 19.037 * * [simplify]: Extracting # 0 : cost 0 19.047 * * [simplify]: Extracting # 1 : cost 0 19.054 * * [simplify]: Extracting # 2 : cost 0 19.060 * * [simplify]: Extracting # 3 : cost 0 19.074 * * [simplify]: Extracting # 4 : cost 0 19.081 * * [simplify]: Extracting # 5 : cost 0 19.089 * * [simplify]: iteration done: 5000 enodes (cost 3411 ) 19.091 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (* k (sqrt k))) (* (cbrt (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (- (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (fabs (cbrt k))) (/ (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (fabs (cbrt k))) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (* (/ (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) k) (pow (pow n (/ (- 1.0 k) 2.0)) 3)) (sqrt k)) (pow 1.0 3)) (pow (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow n (/ 1.0 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (exp (* (+ 0 (log n)) (* 0.5 (- 1.0 k)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (- (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) (+ (* +nan.0 (- (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow k 3)))) (/ (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- +nan.0)) (pow k 2))) (+ (/ (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- +nan.0)) (pow k 2)) (* +nan.0 (- (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (+ (* +nan.0 (- (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (/ k (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (/ (pow k 2) (pow (pow (/ 1 n) (- 1.0 k)) -0.5))))) (/ (- (* (* +nan.0 (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) (pow (pow (/ 1 n) (- 1.0 k)) -0.5))) (pow k 3))) (+ (* +nan.0 (- (/ (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) k) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))))) (- (/ (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) (/ (pow k 2) +nan.0)))) 19.092 * * * [progress]: adding candidates to table 19.751 * [progress]: [Phase 3 of 3] Extracting. 19.751 * * [regime]: Finding splitpoints for: (# # # # # #) 19.753 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 19.753 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 19.783 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 19.820 * * * * [regimes]: Trying to branch on n from (# # # # # #) 19.851 * * * * [regimes]: Trying to branch on k from (# # # # # #) 19.901 * * * [regime]: Found split indices: #