50.172 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.190 * * * [progress]: [2/2] Setting up program. 0.193 * [progress]: [Phase 2 of 3] Improving. 0.193 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.194 * * [simplify]: Extracting # 0 : cost 0 0.194 * * [simplify]: Extracting # 1 : cost 0 0.194 * * [simplify]: Extracting # 2 : cost 0 0.194 * * [simplify]: Extracting # 3 : cost 0 0.194 * * [simplify]: Extracting # 4 : cost 0 0.194 * * [simplify]: Extracting # 5 : cost 0 0.194 * * [simplify]: Extracting # 6 : cost 0 0.194 * * [simplify]: Extracting # 7 : cost 0 0.194 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.197 * * [simplify]: Extracting # 0 : cost 0 0.197 * * [simplify]: Extracting # 1 : cost 0 0.197 * * [simplify]: Extracting # 2 : cost 0 0.197 * * [simplify]: Extracting # 3 : cost 0 0.197 * * [simplify]: Extracting # 4 : cost 0 0.197 * * [simplify]: Extracting # 5 : cost 0 0.197 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.204 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.217 * * [simplify]: Extracting # 0 : cost 0 0.217 * * [simplify]: Extracting # 1 : cost 0 0.217 * * [simplify]: Extracting # 2 : cost 0 0.217 * * [simplify]: Extracting # 3 : cost 0 0.217 * * [simplify]: Extracting # 4 : cost 0 0.218 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.282 * * [simplify]: Extracting # 0 : cost 0 0.282 * * [simplify]: Extracting # 1 : cost 0 0.283 * * [simplify]: Extracting # 2 : cost 0 0.283 * * [simplify]: Extracting # 3 : cost 0 0.284 * * [simplify]: Extracting # 4 : cost 0 0.284 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.530 * * [simplify]: Extracting # 0 : cost 0 0.532 * * [simplify]: Extracting # 1 : cost 0 0.534 * * [simplify]: Extracting # 2 : cost 0 0.536 * * [simplify]: Extracting # 3 : cost 0 0.537 * * [simplify]: Extracting # 4 : cost 0 0.538 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.110 * * [simplify]: Extracting # 0 : cost 0 2.117 * * [simplify]: Extracting # 1 : cost 0 2.128 * * [simplify]: Extracting # 2 : cost 0 2.133 * * [simplify]: Extracting # 3 : cost 0 2.138 * * [simplify]: Extracting # 4 : cost 0 2.142 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.793 * * [simplify]: Extracting # 0 : cost 0 3.800 * * [simplify]: Extracting # 1 : cost 0 3.805 * * [simplify]: Extracting # 2 : cost 0 3.810 * * [simplify]: Extracting # 3 : cost 0 3.814 * * [simplify]: Extracting # 4 : cost 0 3.822 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.822 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.822 * * [progress]: iteration 1 / 4 3.822 * * * [progress]: picking best candidate 3.824 * * * * [pick]: Picked # 3.824 * * * [progress]: localizing error 3.851 * * * [progress]: generating rewritten candidates 3.851 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.877 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.895 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.912 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.980 * * * [progress]: generating series expansions 3.980 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.981 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.981 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.981 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.981 * [taylor]: Taking taylor expansion of 0.5 in k 3.981 * [backup-simplify]: Simplify 0.5 into 0.5 3.981 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.981 * [taylor]: Taking taylor expansion of 1.0 in k 3.981 * [backup-simplify]: Simplify 1.0 into 1.0 3.981 * [taylor]: Taking taylor expansion of k in k 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.981 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.981 * [taylor]: Taking taylor expansion of 2.0 in k 3.981 * [backup-simplify]: Simplify 2.0 into 2.0 3.981 * [taylor]: Taking taylor expansion of (* n PI) in k 3.981 * [taylor]: Taking taylor expansion of n in k 3.981 * [backup-simplify]: Simplify n into n 3.981 * [taylor]: Taking taylor expansion of PI in k 3.981 * [backup-simplify]: Simplify PI into PI 3.981 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.981 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.981 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.981 * [backup-simplify]: Simplify (- 0) into 0 3.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.982 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.982 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.982 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.982 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.982 * [taylor]: Taking taylor expansion of 0.5 in n 3.982 * [backup-simplify]: Simplify 0.5 into 0.5 3.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.982 * [taylor]: Taking taylor expansion of 1.0 in n 3.982 * [backup-simplify]: Simplify 1.0 into 1.0 3.982 * [taylor]: Taking taylor expansion of k in n 3.982 * [backup-simplify]: Simplify k into k 3.982 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.982 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.982 * [taylor]: Taking taylor expansion of 2.0 in n 3.982 * [backup-simplify]: Simplify 2.0 into 2.0 3.982 * [taylor]: Taking taylor expansion of (* n PI) in n 3.982 * [taylor]: Taking taylor expansion of n in n 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [taylor]: Taking taylor expansion of PI in n 3.983 * [backup-simplify]: Simplify PI into PI 3.983 * [backup-simplify]: Simplify (* 0 PI) into 0 3.983 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.985 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.986 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.986 * [backup-simplify]: Simplify (- k) into (- k) 3.986 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.986 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.987 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.987 * [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)))) 3.988 * [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))))) 3.988 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.988 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.988 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.988 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.988 * [taylor]: Taking taylor expansion of 0.5 in n 3.988 * [backup-simplify]: Simplify 0.5 into 0.5 3.988 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.988 * [taylor]: Taking taylor expansion of 1.0 in n 3.988 * [backup-simplify]: Simplify 1.0 into 1.0 3.988 * [taylor]: Taking taylor expansion of k in n 3.988 * [backup-simplify]: Simplify k into k 3.988 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.988 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.988 * [taylor]: Taking taylor expansion of 2.0 in n 3.988 * [backup-simplify]: Simplify 2.0 into 2.0 3.988 * [taylor]: Taking taylor expansion of (* n PI) in n 3.988 * [taylor]: Taking taylor expansion of n in n 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [taylor]: Taking taylor expansion of PI in n 3.988 * [backup-simplify]: Simplify PI into PI 3.989 * [backup-simplify]: Simplify (* 0 PI) into 0 3.989 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.990 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.991 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.991 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.991 * [backup-simplify]: Simplify (- k) into (- k) 3.992 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.992 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.993 * [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)))) 3.994 * [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))))) 3.994 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.994 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.994 * [taylor]: Taking taylor expansion of 0.5 in k 3.994 * [backup-simplify]: Simplify 0.5 into 0.5 3.994 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.994 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.994 * [taylor]: Taking taylor expansion of 1.0 in k 3.994 * [backup-simplify]: Simplify 1.0 into 1.0 3.994 * [taylor]: Taking taylor expansion of k in k 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify 1 into 1 3.994 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.994 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.994 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.994 * [taylor]: Taking taylor expansion of 2.0 in k 3.994 * [backup-simplify]: Simplify 2.0 into 2.0 3.994 * [taylor]: Taking taylor expansion of PI in k 3.994 * [backup-simplify]: Simplify PI into PI 3.995 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.995 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.995 * [taylor]: Taking taylor expansion of (log n) in k 3.995 * [taylor]: Taking taylor expansion of n in k 3.995 * [backup-simplify]: Simplify n into n 3.995 * [backup-simplify]: Simplify (log n) into (log n) 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.996 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.996 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.997 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.998 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.999 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.999 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.000 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.006 * [backup-simplify]: Simplify (- 0) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.010 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.012 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.012 * [taylor]: Taking taylor expansion of 0 in k 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.017 * [backup-simplify]: Simplify (- 1) into -1 4.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.019 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.021 * [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)))) 4.025 * [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)))))) 4.028 * [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)))))) 4.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.032 * [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 4.032 * [backup-simplify]: Simplify (- 0) into 0 4.032 * [backup-simplify]: Simplify (+ 0 0) into 0 4.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.035 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.036 * [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 4.036 * [taylor]: Taking taylor expansion of 0 in k 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.039 * [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 4.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.040 * [backup-simplify]: Simplify (+ 0 0) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.046 * [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)))))) 4.049 * [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)))))) 4.056 * [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)))))) 4.056 * [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)))) 4.056 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.056 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.056 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.056 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.056 * [taylor]: Taking taylor expansion of 0.5 in k 4.056 * [backup-simplify]: Simplify 0.5 into 0.5 4.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.056 * [taylor]: Taking taylor expansion of 1.0 in k 4.056 * [backup-simplify]: Simplify 1.0 into 1.0 4.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.056 * [taylor]: Taking taylor expansion of k in k 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.057 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.057 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.057 * [taylor]: Taking taylor expansion of 2.0 in k 4.057 * [backup-simplify]: Simplify 2.0 into 2.0 4.057 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.057 * [taylor]: Taking taylor expansion of PI in k 4.057 * [backup-simplify]: Simplify PI into PI 4.057 * [taylor]: Taking taylor expansion of n in k 4.057 * [backup-simplify]: Simplify n into n 4.057 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.057 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.057 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.057 * [backup-simplify]: Simplify (- 1) into -1 4.058 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.058 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.058 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.058 * [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))))) 4.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.058 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.058 * [taylor]: Taking taylor expansion of 0.5 in n 4.058 * [backup-simplify]: Simplify 0.5 into 0.5 4.058 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.058 * [taylor]: Taking taylor expansion of 1.0 in n 4.058 * [backup-simplify]: Simplify 1.0 into 1.0 4.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.058 * [taylor]: Taking taylor expansion of k in n 4.058 * [backup-simplify]: Simplify k into k 4.058 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.058 * [taylor]: Taking taylor expansion of 2.0 in n 4.058 * [backup-simplify]: Simplify 2.0 into 2.0 4.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.059 * [taylor]: Taking taylor expansion of PI in n 4.059 * [backup-simplify]: Simplify PI into PI 4.059 * [taylor]: Taking taylor expansion of n in n 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (/ PI 1) into PI 4.059 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.060 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.060 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.060 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.060 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.062 * [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)))) 4.062 * [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))))) 4.062 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.062 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.062 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.062 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 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 (/ 1 k)) in n 4.062 * [taylor]: Taking taylor expansion of 1.0 in n 4.063 * [backup-simplify]: Simplify 1.0 into 1.0 4.063 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.063 * [taylor]: Taking taylor expansion of k in n 4.063 * [backup-simplify]: Simplify k into k 4.063 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.063 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.063 * [taylor]: Taking taylor expansion of 2.0 in n 4.063 * [backup-simplify]: Simplify 2.0 into 2.0 4.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.063 * [taylor]: Taking taylor expansion of PI in n 4.063 * [backup-simplify]: Simplify PI into PI 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ PI 1) into PI 4.063 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.064 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.064 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.064 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.064 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.066 * [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)))) 4.068 * [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))))) 4.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.068 * [taylor]: Taking taylor expansion of 0.5 in k 4.068 * [backup-simplify]: Simplify 0.5 into 0.5 4.068 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.068 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.068 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.068 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.068 * [taylor]: Taking taylor expansion of 2.0 in k 4.068 * [backup-simplify]: Simplify 2.0 into 2.0 4.068 * [taylor]: Taking taylor expansion of PI in k 4.068 * [backup-simplify]: Simplify PI into PI 4.069 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.070 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.070 * [taylor]: Taking taylor expansion of (log n) in k 4.070 * [taylor]: Taking taylor expansion of n in k 4.070 * [backup-simplify]: Simplify n into n 4.070 * [backup-simplify]: Simplify (log n) into (log n) 4.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.070 * [taylor]: Taking taylor expansion of 1.0 in k 4.070 * [backup-simplify]: Simplify 1.0 into 1.0 4.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.070 * [taylor]: Taking taylor expansion of k in k 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.072 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.072 * [backup-simplify]: Simplify (- 1) into -1 4.072 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.073 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.075 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.076 * [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))))) 4.077 * [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))))) 4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.084 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.085 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.088 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.088 * [taylor]: Taking taylor expansion of 0 in k 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.094 * [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 4.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.094 * [backup-simplify]: Simplify (- 0) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.098 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.101 * [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 4.101 * [taylor]: Taking taylor expansion of 0 in k 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.110 * [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 4.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.110 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.115 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.118 * [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 4.118 * [taylor]: Taking taylor expansion of 0 in k 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.119 * [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)))) 4.120 * [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))) 4.120 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.120 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.120 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.120 * [taylor]: Taking taylor expansion of 0.5 in k 4.121 * [backup-simplify]: Simplify 0.5 into 0.5 4.121 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.121 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.121 * [taylor]: Taking taylor expansion of k in k 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.121 * [backup-simplify]: Simplify 1.0 into 1.0 4.121 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.121 * [taylor]: Taking taylor expansion of -2.0 in k 4.121 * [backup-simplify]: Simplify -2.0 into -2.0 4.121 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.121 * [taylor]: Taking taylor expansion of PI in k 4.121 * [backup-simplify]: Simplify PI into PI 4.121 * [taylor]: Taking taylor expansion of n in k 4.121 * [backup-simplify]: Simplify n into n 4.121 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.121 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.122 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.122 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.122 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.123 * [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)))))) 4.123 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.123 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.123 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.123 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.123 * [taylor]: Taking taylor expansion of 0.5 in n 4.123 * [backup-simplify]: Simplify 0.5 into 0.5 4.123 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.123 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.123 * [taylor]: Taking taylor expansion of k in n 4.123 * [backup-simplify]: Simplify k into k 4.123 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.123 * [taylor]: Taking taylor expansion of 1.0 in n 4.123 * [backup-simplify]: Simplify 1.0 into 1.0 4.123 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.123 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.123 * [taylor]: Taking taylor expansion of -2.0 in n 4.123 * [backup-simplify]: Simplify -2.0 into -2.0 4.123 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.123 * [taylor]: Taking taylor expansion of PI in n 4.124 * [backup-simplify]: Simplify PI into PI 4.124 * [taylor]: Taking taylor expansion of n in n 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [backup-simplify]: Simplify (/ PI 1) into PI 4.125 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.126 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.126 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.126 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.128 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.129 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.135 * [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))))) 4.135 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.135 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.135 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.135 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.135 * [taylor]: Taking taylor expansion of 0.5 in n 4.135 * [backup-simplify]: Simplify 0.5 into 0.5 4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.135 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.135 * [taylor]: Taking taylor expansion of k in n 4.135 * [backup-simplify]: Simplify k into k 4.135 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.135 * [taylor]: Taking taylor expansion of 1.0 in n 4.135 * [backup-simplify]: Simplify 1.0 into 1.0 4.135 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.135 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.135 * [taylor]: Taking taylor expansion of -2.0 in n 4.135 * [backup-simplify]: Simplify -2.0 into -2.0 4.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.136 * [taylor]: Taking taylor expansion of PI in n 4.136 * [backup-simplify]: Simplify PI into PI 4.136 * [taylor]: Taking taylor expansion of n in n 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (/ PI 1) into PI 4.137 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.138 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.138 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.138 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.141 * [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)))) 4.142 * [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))))) 4.142 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.142 * [taylor]: Taking taylor expansion of 0.5 in k 4.142 * [backup-simplify]: Simplify 0.5 into 0.5 4.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.142 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.142 * [taylor]: Taking taylor expansion of k in k 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ 1 1) into 1 4.143 * [taylor]: Taking taylor expansion of 1.0 in k 4.143 * [backup-simplify]: Simplify 1.0 into 1.0 4.143 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.143 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.143 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.143 * [taylor]: Taking taylor expansion of -2.0 in k 4.143 * [backup-simplify]: Simplify -2.0 into -2.0 4.143 * [taylor]: Taking taylor expansion of PI in k 4.143 * [backup-simplify]: Simplify PI into PI 4.144 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.144 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.145 * [taylor]: Taking taylor expansion of (log n) in k 4.145 * [taylor]: Taking taylor expansion of n in k 4.145 * [backup-simplify]: Simplify n into n 4.145 * [backup-simplify]: Simplify (log n) into (log n) 4.145 * [backup-simplify]: Simplify (+ 1 0) into 1 4.145 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.146 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.147 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.149 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.150 * [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))))) 4.151 * [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))))) 4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.157 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.158 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.161 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.161 * [taylor]: Taking taylor expansion of 0 in k 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.166 * [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 4.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.167 * [backup-simplify]: Simplify (+ 0 0) into 0 4.168 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.169 * [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 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.173 * [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 4.173 * [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 into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.178 * [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 4.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.178 * [backup-simplify]: Simplify (+ 0 0) into 0 4.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.181 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.183 * [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 4.183 * [taylor]: Taking taylor expansion of 0 in k 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.184 * [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)))))) 4.184 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.184 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.184 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.184 * [taylor]: Taking taylor expansion of 2.0 in n 4.184 * [backup-simplify]: Simplify 2.0 into 2.0 4.184 * [taylor]: Taking taylor expansion of (* n PI) in n 4.184 * [taylor]: Taking taylor expansion of n in n 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [taylor]: Taking taylor expansion of PI in n 4.184 * [backup-simplify]: Simplify PI into PI 4.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.184 * [taylor]: Taking taylor expansion of 2.0 in n 4.184 * [backup-simplify]: Simplify 2.0 into 2.0 4.184 * [taylor]: Taking taylor expansion of (* n PI) in n 4.184 * [taylor]: Taking taylor expansion of n in n 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.184 * [taylor]: Taking taylor expansion of PI in n 4.184 * [backup-simplify]: Simplify PI into PI 4.185 * [backup-simplify]: Simplify (* 0 PI) into 0 4.185 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.185 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.187 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.187 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.188 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.191 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.193 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.193 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.195 * [backup-simplify]: Simplify 0 into 0 4.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.198 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.198 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.198 * [taylor]: Taking taylor expansion of 2.0 in n 4.198 * [backup-simplify]: Simplify 2.0 into 2.0 4.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.198 * [taylor]: Taking taylor expansion of PI in n 4.198 * [backup-simplify]: Simplify PI into PI 4.198 * [taylor]: Taking taylor expansion of n in n 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (/ PI 1) into PI 4.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.198 * [taylor]: Taking taylor expansion of 2.0 in n 4.198 * [backup-simplify]: Simplify 2.0 into 2.0 4.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.198 * [taylor]: Taking taylor expansion of PI in n 4.198 * [backup-simplify]: Simplify PI into PI 4.198 * [taylor]: Taking taylor expansion of n in n 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (/ PI 1) into PI 4.199 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.199 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [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 4.207 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.208 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.208 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.208 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.208 * [taylor]: Taking taylor expansion of -2.0 in n 4.208 * [backup-simplify]: Simplify -2.0 into -2.0 4.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.208 * [taylor]: Taking taylor expansion of PI in n 4.208 * [backup-simplify]: Simplify PI into PI 4.208 * [taylor]: Taking taylor expansion of n in n 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ PI 1) into PI 4.208 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.208 * [taylor]: Taking taylor expansion of -2.0 in n 4.208 * [backup-simplify]: Simplify -2.0 into -2.0 4.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.208 * [taylor]: Taking taylor expansion of PI in n 4.208 * [backup-simplify]: Simplify PI into PI 4.208 * [taylor]: Taking taylor expansion of n in n 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ PI 1) into PI 4.209 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.209 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [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 4.217 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.218 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.218 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.218 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.218 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.218 * [taylor]: Taking taylor expansion of 1.0 in k 4.218 * [backup-simplify]: Simplify 1.0 into 1.0 4.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.218 * [taylor]: Taking taylor expansion of k in k 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ 1 1) into 1 4.218 * [backup-simplify]: Simplify (sqrt 0) into 0 4.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.219 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.219 * [taylor]: Taking taylor expansion of 1.0 in k 4.219 * [backup-simplify]: Simplify 1.0 into 1.0 4.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.219 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.219 * [taylor]: Taking taylor expansion of k in k 4.219 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [backup-simplify]: Simplify (sqrt 0) into 0 4.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.221 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.222 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.226 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.230 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.230 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.231 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.231 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.231 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.231 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.231 * [taylor]: Taking taylor expansion of 1.0 in k 4.231 * [backup-simplify]: Simplify 1.0 into 1.0 4.231 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.231 * [taylor]: Taking taylor expansion of k in k 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (sqrt 0) into 0 4.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.233 * [taylor]: Taking taylor expansion of 1.0 in k 4.233 * [backup-simplify]: Simplify 1.0 into 1.0 4.233 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.233 * [taylor]: Taking taylor expansion of k in k 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [backup-simplify]: Simplify (sqrt 0) into 0 4.234 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.237 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.238 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.242 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.242 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.245 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.247 * [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)))))))) 4.247 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.247 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.247 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.247 * [taylor]: Taking taylor expansion of 1.0 in k 4.247 * [backup-simplify]: Simplify 1.0 into 1.0 4.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.247 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.247 * [taylor]: Taking taylor expansion of -1 in k 4.247 * [backup-simplify]: Simplify -1 into -1 4.247 * [taylor]: Taking taylor expansion of k in k 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (/ -1 1) into -1 4.247 * [backup-simplify]: Simplify (sqrt 0) into 0 4.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.248 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.248 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.248 * [taylor]: Taking taylor expansion of 1.0 in k 4.248 * [backup-simplify]: Simplify 1.0 into 1.0 4.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.248 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.248 * [taylor]: Taking taylor expansion of -1 in k 4.248 * [backup-simplify]: Simplify -1 into -1 4.248 * [taylor]: Taking taylor expansion of k in k 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (/ -1 1) into -1 4.249 * [backup-simplify]: Simplify (sqrt 0) into 0 4.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.250 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.254 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.254 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.259 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.259 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.260 * [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))))) 4.260 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.261 * [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))))) 4.261 * [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 4.261 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.261 * [taylor]: Taking taylor expansion of 1.0 in n 4.261 * [backup-simplify]: Simplify 1.0 into 1.0 4.261 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.261 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.261 * [taylor]: Taking taylor expansion of k in n 4.261 * [backup-simplify]: Simplify k into k 4.261 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.261 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.261 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.261 * [taylor]: Taking taylor expansion of 0.5 in n 4.261 * [backup-simplify]: Simplify 0.5 into 0.5 4.261 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.261 * [taylor]: Taking taylor expansion of 1.0 in n 4.261 * [backup-simplify]: Simplify 1.0 into 1.0 4.261 * [taylor]: Taking taylor expansion of k in n 4.261 * [backup-simplify]: Simplify k into k 4.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.261 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.261 * [taylor]: Taking taylor expansion of 2.0 in n 4.261 * [backup-simplify]: Simplify 2.0 into 2.0 4.261 * [taylor]: Taking taylor expansion of (* n PI) in n 4.261 * [taylor]: Taking taylor expansion of n in n 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [taylor]: Taking taylor expansion of PI in n 4.262 * [backup-simplify]: Simplify PI into PI 4.262 * [backup-simplify]: Simplify (* 0 PI) into 0 4.262 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.264 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.265 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.265 * [backup-simplify]: Simplify (- k) into (- k) 4.265 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.265 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.266 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.267 * [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)))) 4.267 * [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))))) 4.267 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.267 * [taylor]: Taking taylor expansion of 1.0 in k 4.267 * [backup-simplify]: Simplify 1.0 into 1.0 4.267 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.268 * [taylor]: Taking taylor expansion of k in k 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [backup-simplify]: Simplify (sqrt 0) into 0 4.269 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.269 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.269 * [taylor]: Taking taylor expansion of 0.5 in k 4.269 * [backup-simplify]: Simplify 0.5 into 0.5 4.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.269 * [taylor]: Taking taylor expansion of 1.0 in k 4.269 * [backup-simplify]: Simplify 1.0 into 1.0 4.269 * [taylor]: Taking taylor expansion of k in k 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.269 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.269 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.269 * [taylor]: Taking taylor expansion of 2.0 in k 4.269 * [backup-simplify]: Simplify 2.0 into 2.0 4.269 * [taylor]: Taking taylor expansion of (* n PI) in k 4.269 * [taylor]: Taking taylor expansion of n in k 4.269 * [backup-simplify]: Simplify n into n 4.269 * [taylor]: Taking taylor expansion of PI in k 4.269 * [backup-simplify]: Simplify PI into PI 4.269 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.269 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.269 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.270 * [backup-simplify]: Simplify (- 0) into 0 4.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.270 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.270 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.270 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.270 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.270 * [taylor]: Taking taylor expansion of 1.0 in k 4.270 * [backup-simplify]: Simplify 1.0 into 1.0 4.270 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.270 * [taylor]: Taking taylor expansion of k in k 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.271 * [backup-simplify]: Simplify (/ 1 1) into 1 4.271 * [backup-simplify]: Simplify (sqrt 0) into 0 4.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.272 * [taylor]: Taking taylor expansion of 0.5 in k 4.272 * [backup-simplify]: Simplify 0.5 into 0.5 4.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.272 * [taylor]: Taking taylor expansion of 1.0 in k 4.272 * [backup-simplify]: Simplify 1.0 into 1.0 4.272 * [taylor]: Taking taylor expansion of k in k 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.272 * [taylor]: Taking taylor expansion of 2.0 in k 4.272 * [backup-simplify]: Simplify 2.0 into 2.0 4.272 * [taylor]: Taking taylor expansion of (* n PI) in k 4.272 * [taylor]: Taking taylor expansion of n in k 4.272 * [backup-simplify]: Simplify n into n 4.272 * [taylor]: Taking taylor expansion of PI in k 4.272 * [backup-simplify]: Simplify PI into PI 4.272 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.272 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.272 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.272 * [backup-simplify]: Simplify (- 0) into 0 4.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.273 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.273 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.273 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.273 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.274 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.274 * [taylor]: Taking taylor expansion of 0 in n 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.275 * [backup-simplify]: Simplify (- 1) into -1 4.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.276 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.277 * [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))) 4.278 * [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))) 4.279 * [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))) 4.279 * [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 4.279 * [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 4.279 * [taylor]: Taking taylor expansion of +nan.0 in n 4.279 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.280 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.280 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.280 * [taylor]: Taking taylor expansion of 0.5 in n 4.280 * [backup-simplify]: Simplify 0.5 into 0.5 4.280 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.280 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.280 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.280 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.280 * [taylor]: Taking taylor expansion of 1.0 in n 4.280 * [backup-simplify]: Simplify 1.0 into 1.0 4.280 * [taylor]: Taking taylor expansion of (log PI) in n 4.280 * [taylor]: Taking taylor expansion of PI in n 4.280 * [backup-simplify]: Simplify PI into PI 4.280 * [backup-simplify]: Simplify (log PI) into (log PI) 4.281 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.282 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.282 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.282 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.282 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.282 * [taylor]: Taking taylor expansion of 1.0 in n 4.282 * [backup-simplify]: Simplify 1.0 into 1.0 4.282 * [taylor]: Taking taylor expansion of (log n) in n 4.282 * [taylor]: Taking taylor expansion of n in n 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (log 1) into 0 4.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.282 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.282 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.282 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.282 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.282 * [taylor]: Taking taylor expansion of 1.0 in n 4.282 * [backup-simplify]: Simplify 1.0 into 1.0 4.282 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.282 * [taylor]: Taking taylor expansion of 2.0 in n 4.282 * [backup-simplify]: Simplify 2.0 into 2.0 4.283 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.283 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.284 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.285 * [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) 4.285 * [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) 4.286 * [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)) 4.287 * [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))) 4.288 * [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) 4.289 * [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)) 4.290 * [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))) 4.290 * [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))) 4.290 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.291 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.292 * [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 4.293 * [backup-simplify]: Simplify (- 0) into 0 4.293 * [backup-simplify]: Simplify (+ 0 0) into 0 4.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.295 * [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))) 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.299 * [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)))))))) 4.303 * [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)))))))) 4.303 * [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 4.303 * [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 4.303 * [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 4.303 * [taylor]: Taking taylor expansion of +nan.0 in n 4.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.303 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.303 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.303 * [taylor]: Taking taylor expansion of 0.5 in n 4.303 * [backup-simplify]: Simplify 0.5 into 0.5 4.303 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.303 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.303 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.303 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.303 * [taylor]: Taking taylor expansion of 1.0 in n 4.303 * [backup-simplify]: Simplify 1.0 into 1.0 4.303 * [taylor]: Taking taylor expansion of (log PI) in n 4.303 * [taylor]: Taking taylor expansion of PI in n 4.303 * [backup-simplify]: Simplify PI into PI 4.303 * [backup-simplify]: Simplify (log PI) into (log PI) 4.304 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.305 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.305 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.305 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.305 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.305 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.305 * [taylor]: Taking taylor expansion of 1.0 in n 4.305 * [backup-simplify]: Simplify 1.0 into 1.0 4.305 * [taylor]: Taking taylor expansion of (log n) in n 4.305 * [taylor]: Taking taylor expansion of n in n 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (log 1) into 0 4.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.306 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.306 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.306 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.306 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.306 * [taylor]: Taking taylor expansion of 1.0 in n 4.306 * [backup-simplify]: Simplify 1.0 into 1.0 4.306 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.306 * [taylor]: Taking taylor expansion of 2.0 in n 4.306 * [backup-simplify]: Simplify 2.0 into 2.0 4.306 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.307 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.307 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.308 * [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) 4.309 * [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) 4.309 * [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)) 4.310 * [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))) 4.311 * [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) 4.311 * [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 4.311 * [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 4.311 * [taylor]: Taking taylor expansion of +nan.0 in n 4.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.311 * [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 4.311 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.311 * [taylor]: Taking taylor expansion of 0.5 in n 4.311 * [backup-simplify]: Simplify 0.5 into 0.5 4.311 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.311 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.311 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.311 * [taylor]: Taking taylor expansion of 1.0 in n 4.311 * [backup-simplify]: Simplify 1.0 into 1.0 4.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.311 * [taylor]: Taking taylor expansion of 2.0 in n 4.312 * [backup-simplify]: Simplify 2.0 into 2.0 4.312 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.312 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.313 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.313 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.313 * [taylor]: Taking taylor expansion of 1.0 in n 4.313 * [backup-simplify]: Simplify 1.0 into 1.0 4.313 * [taylor]: Taking taylor expansion of (log PI) in n 4.313 * [taylor]: Taking taylor expansion of PI in n 4.313 * [backup-simplify]: Simplify PI into PI 4.314 * [backup-simplify]: Simplify (log PI) into (log PI) 4.314 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.315 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.315 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.315 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.315 * [taylor]: Taking taylor expansion of 1.0 in n 4.315 * [backup-simplify]: Simplify 1.0 into 1.0 4.315 * [taylor]: Taking taylor expansion of (log n) in n 4.315 * [taylor]: Taking taylor expansion of n in n 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.316 * [backup-simplify]: Simplify (log 1) into 0 4.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.316 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.316 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.316 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.318 * [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) 4.319 * [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)) 4.320 * [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))) 4.322 * [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) 4.322 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.322 * [taylor]: Taking taylor expansion of 2.0 in n 4.322 * [backup-simplify]: Simplify 2.0 into 2.0 4.322 * [taylor]: Taking taylor expansion of (* n PI) in n 4.322 * [taylor]: Taking taylor expansion of n in n 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 1 into 1 4.322 * [taylor]: Taking taylor expansion of PI in n 4.322 * [backup-simplify]: Simplify PI into PI 4.322 * [backup-simplify]: Simplify (* 0 PI) into 0 4.323 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.324 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.326 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.327 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.328 * [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)) 4.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.333 * [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)) 4.340 * [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))) 4.343 * [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)))))) 4.349 * [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)))))))) 4.355 * [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)))))))) 4.362 * [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)))))))) 4.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.366 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.368 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.369 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.369 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.370 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.374 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.376 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.378 * [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 4.379 * [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 4.382 * [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 4.384 * [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 4.385 * [backup-simplify]: Simplify (- 0) into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.388 * [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 4.388 * [backup-simplify]: Simplify (- 0) into 0 4.388 * [backup-simplify]: Simplify (+ 0 0) into 0 4.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.390 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.391 * [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))) 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.397 * [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)))))))) 4.405 * [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)))))))) 4.405 * [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 4.405 * [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 4.405 * [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 4.405 * [taylor]: Taking taylor expansion of +nan.0 in n 4.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.405 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.405 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.405 * [taylor]: Taking taylor expansion of 0.5 in n 4.405 * [backup-simplify]: Simplify 0.5 into 0.5 4.405 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.405 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.405 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.405 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.405 * [taylor]: Taking taylor expansion of 1.0 in n 4.405 * [backup-simplify]: Simplify 1.0 into 1.0 4.405 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.405 * [taylor]: Taking taylor expansion of 2.0 in n 4.405 * [backup-simplify]: Simplify 2.0 into 2.0 4.405 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.406 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.407 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.407 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.407 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.407 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.407 * [taylor]: Taking taylor expansion of 1.0 in n 4.407 * [backup-simplify]: Simplify 1.0 into 1.0 4.407 * [taylor]: Taking taylor expansion of (log n) in n 4.407 * [taylor]: Taking taylor expansion of n in n 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (log 1) into 0 4.407 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.407 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.407 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.408 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.408 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.408 * [taylor]: Taking taylor expansion of 1.0 in n 4.408 * [backup-simplify]: Simplify 1.0 into 1.0 4.408 * [taylor]: Taking taylor expansion of (log PI) in n 4.408 * [taylor]: Taking taylor expansion of PI in n 4.408 * [backup-simplify]: Simplify PI into PI 4.408 * [backup-simplify]: Simplify (log PI) into (log PI) 4.408 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.409 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.410 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.411 * [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) 4.411 * [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)) 4.412 * [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))) 4.413 * [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) 4.413 * [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 4.413 * [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 4.413 * [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 4.413 * [taylor]: Taking taylor expansion of +nan.0 in n 4.413 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.413 * [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 4.413 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.413 * [taylor]: Taking taylor expansion of 0.5 in n 4.413 * [backup-simplify]: Simplify 0.5 into 0.5 4.413 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.413 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.413 * [taylor]: Taking taylor expansion of 1.0 in n 4.413 * [backup-simplify]: Simplify 1.0 into 1.0 4.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.413 * [taylor]: Taking taylor expansion of 2.0 in n 4.414 * [backup-simplify]: Simplify 2.0 into 2.0 4.414 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.414 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.415 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.415 * [taylor]: Taking taylor expansion of 1.0 in n 4.415 * [backup-simplify]: Simplify 1.0 into 1.0 4.415 * [taylor]: Taking taylor expansion of (log PI) in n 4.415 * [taylor]: Taking taylor expansion of PI in n 4.415 * [backup-simplify]: Simplify PI into PI 4.416 * [backup-simplify]: Simplify (log PI) into (log PI) 4.416 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.417 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.417 * [taylor]: Taking taylor expansion of 1.0 in n 4.417 * [backup-simplify]: Simplify 1.0 into 1.0 4.417 * [taylor]: Taking taylor expansion of (log n) in n 4.417 * [taylor]: Taking taylor expansion of n in n 4.417 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify 1 into 1 4.417 * [backup-simplify]: Simplify (log 1) into 0 4.418 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.418 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.418 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.418 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.419 * [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) 4.420 * [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)) 4.421 * [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))) 4.422 * [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) 4.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.422 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.422 * [taylor]: Taking taylor expansion of 2.0 in n 4.422 * [backup-simplify]: Simplify 2.0 into 2.0 4.422 * [taylor]: Taking taylor expansion of (* n PI) in n 4.422 * [taylor]: Taking taylor expansion of n in n 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [taylor]: Taking taylor expansion of PI in n 4.422 * [backup-simplify]: Simplify PI into PI 4.422 * [backup-simplify]: Simplify (* 0 PI) into 0 4.422 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.423 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.424 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.425 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.425 * [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 4.425 * [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 4.425 * [taylor]: Taking taylor expansion of +nan.0 in n 4.425 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.425 * [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 4.425 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.425 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.425 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.425 * [taylor]: Taking taylor expansion of 0.5 in n 4.425 * [backup-simplify]: Simplify 0.5 into 0.5 4.425 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.425 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.425 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.425 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.425 * [taylor]: Taking taylor expansion of 1.0 in n 4.425 * [backup-simplify]: Simplify 1.0 into 1.0 4.425 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.425 * [taylor]: Taking taylor expansion of 2.0 in n 4.425 * [backup-simplify]: Simplify 2.0 into 2.0 4.425 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.426 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.427 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.427 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.427 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.427 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.427 * [taylor]: Taking taylor expansion of 1.0 in n 4.427 * [backup-simplify]: Simplify 1.0 into 1.0 4.427 * [taylor]: Taking taylor expansion of (log PI) in n 4.427 * [taylor]: Taking taylor expansion of PI in n 4.427 * [backup-simplify]: Simplify PI into PI 4.427 * [backup-simplify]: Simplify (log PI) into (log PI) 4.428 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.429 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.429 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.429 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.429 * [taylor]: Taking taylor expansion of 1.0 in n 4.429 * [backup-simplify]: Simplify 1.0 into 1.0 4.429 * [taylor]: Taking taylor expansion of (log n) in n 4.429 * [taylor]: Taking taylor expansion of n in n 4.429 * [backup-simplify]: Simplify 0 into 0 4.429 * [backup-simplify]: Simplify 1 into 1 4.429 * [backup-simplify]: Simplify (log 1) into 0 4.430 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.430 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.430 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.430 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.431 * [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) 4.432 * [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)) 4.433 * [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))) 4.434 * [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) 4.434 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.434 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.434 * [taylor]: Taking taylor expansion of 2.0 in n 4.434 * [backup-simplify]: Simplify 2.0 into 2.0 4.434 * [taylor]: Taking taylor expansion of (* n PI) in n 4.434 * [taylor]: Taking taylor expansion of n in n 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 1 into 1 4.434 * [taylor]: Taking taylor expansion of PI in n 4.434 * [backup-simplify]: Simplify PI into PI 4.434 * [backup-simplify]: Simplify (* 0 PI) into 0 4.434 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.435 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.436 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.437 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.439 * [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)) 4.440 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.441 * [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)) 4.443 * [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))) 4.444 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.445 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.446 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.451 * [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)) 4.453 * [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))) 4.454 * [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)))))))) 4.461 * [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)))))))))))) 4.471 * [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)))))))))))) 4.488 * [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)))))))))))))) 4.506 * [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)))))))))))))) 4.524 * [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)))))))))))))) 4.552 * [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)))))))))))))))))))))) 4.553 * [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)))))) 4.553 * [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 4.553 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.553 * [taylor]: Taking taylor expansion of 1.0 in n 4.553 * [backup-simplify]: Simplify 1.0 into 1.0 4.553 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.553 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.554 * [taylor]: Taking taylor expansion of k in n 4.554 * [backup-simplify]: Simplify k into k 4.554 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.554 * [taylor]: Taking taylor expansion of 0.5 in n 4.554 * [backup-simplify]: Simplify 0.5 into 0.5 4.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.554 * [taylor]: Taking taylor expansion of 1.0 in n 4.554 * [backup-simplify]: Simplify 1.0 into 1.0 4.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.554 * [taylor]: Taking taylor expansion of k in n 4.554 * [backup-simplify]: Simplify k into k 4.554 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) 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 (/ PI n) in n 4.554 * [taylor]: Taking taylor expansion of PI in n 4.554 * [backup-simplify]: Simplify PI into PI 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 4.555 * [backup-simplify]: Simplify (/ PI 1) into PI 4.555 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.557 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.557 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.557 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.557 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.558 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.559 * [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)))) 4.561 * [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))))) 4.561 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.561 * [taylor]: Taking taylor expansion of 1.0 in k 4.561 * [backup-simplify]: Simplify 1.0 into 1.0 4.561 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.561 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.561 * [taylor]: Taking taylor expansion of k in k 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (sqrt 0) into 0 4.563 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.563 * [taylor]: Taking taylor expansion of 0.5 in k 4.563 * [backup-simplify]: Simplify 0.5 into 0.5 4.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.563 * [taylor]: Taking taylor expansion of 1.0 in k 4.563 * [backup-simplify]: Simplify 1.0 into 1.0 4.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.563 * [taylor]: Taking taylor expansion of k in k 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 1 into 1 4.563 * [backup-simplify]: Simplify (/ 1 1) into 1 4.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.564 * [taylor]: Taking taylor expansion of 2.0 in k 4.564 * [backup-simplify]: Simplify 2.0 into 2.0 4.564 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.564 * [taylor]: Taking taylor expansion of PI in k 4.564 * [backup-simplify]: Simplify PI into PI 4.564 * [taylor]: Taking taylor expansion of n in k 4.564 * [backup-simplify]: Simplify n into n 4.564 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.564 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.564 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.564 * [backup-simplify]: Simplify (- 1) into -1 4.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.565 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.565 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.566 * [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))))) 4.566 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.566 * [taylor]: Taking taylor expansion of 1.0 in k 4.566 * [backup-simplify]: Simplify 1.0 into 1.0 4.566 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.566 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.566 * [taylor]: Taking taylor expansion of k in k 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 1 into 1 4.566 * [backup-simplify]: Simplify (sqrt 0) into 0 4.567 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.568 * [taylor]: Taking taylor expansion of 0.5 in k 4.568 * [backup-simplify]: Simplify 0.5 into 0.5 4.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.568 * [taylor]: Taking taylor expansion of 1.0 in k 4.568 * [backup-simplify]: Simplify 1.0 into 1.0 4.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.568 * [taylor]: Taking taylor expansion of k in k 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [backup-simplify]: Simplify 1 into 1 4.568 * [backup-simplify]: Simplify (/ 1 1) into 1 4.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.568 * [taylor]: Taking taylor expansion of 2.0 in k 4.568 * [backup-simplify]: Simplify 2.0 into 2.0 4.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.568 * [taylor]: Taking taylor expansion of PI in k 4.568 * [backup-simplify]: Simplify PI into PI 4.568 * [taylor]: Taking taylor expansion of n in k 4.568 * [backup-simplify]: Simplify n into n 4.568 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.569 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.569 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.569 * [backup-simplify]: Simplify (- 1) into -1 4.569 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.570 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.570 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.570 * [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))))) 4.571 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.571 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.571 * [taylor]: Taking taylor expansion of 0 in n 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.572 * [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))))))) 4.572 * [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))))))) 4.572 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.572 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.573 * [taylor]: Taking taylor expansion of +nan.0 in n 4.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.573 * [taylor]: Taking taylor expansion of 0.5 in n 4.573 * [backup-simplify]: Simplify 0.5 into 0.5 4.573 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.573 * [taylor]: Taking taylor expansion of 2.0 in n 4.573 * [backup-simplify]: Simplify 2.0 into 2.0 4.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.573 * [taylor]: Taking taylor expansion of PI in n 4.573 * [backup-simplify]: Simplify PI into PI 4.573 * [taylor]: Taking taylor expansion of n in n 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify 1 into 1 4.574 * [backup-simplify]: Simplify (/ PI 1) into PI 4.574 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.575 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.575 * [taylor]: Taking taylor expansion of 1.0 in n 4.575 * [backup-simplify]: Simplify 1.0 into 1.0 4.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.575 * [taylor]: Taking taylor expansion of k in n 4.575 * [backup-simplify]: Simplify k into k 4.575 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.577 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.577 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.577 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.578 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.580 * [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)))) 4.581 * [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))))) 4.582 * [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)))))) 4.584 * [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))))))) 4.585 * [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))))))) 4.585 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.590 * [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))))))) 4.597 * [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))))))) 4.597 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.597 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.597 * [taylor]: Taking taylor expansion of +nan.0 in n 4.597 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.597 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.597 * [taylor]: Taking taylor expansion of 0.5 in n 4.597 * [backup-simplify]: Simplify 0.5 into 0.5 4.597 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.597 * [taylor]: Taking taylor expansion of 2.0 in n 4.597 * [backup-simplify]: Simplify 2.0 into 2.0 4.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.597 * [taylor]: Taking taylor expansion of PI in n 4.597 * [backup-simplify]: Simplify PI into PI 4.597 * [taylor]: Taking taylor expansion of n in n 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ PI 1) into PI 4.599 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.600 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.600 * [taylor]: Taking taylor expansion of 1.0 in n 4.600 * [backup-simplify]: Simplify 1.0 into 1.0 4.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.600 * [taylor]: Taking taylor expansion of k in n 4.600 * [backup-simplify]: Simplify k into k 4.600 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.602 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.602 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.603 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.604 * [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)))) 4.606 * [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))))) 4.607 * [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)))))) 4.608 * [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))))))) 4.610 * [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))))))) 4.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.612 * [backup-simplify]: Simplify (- 0) into 0 4.612 * [backup-simplify]: Simplify (+ 0 0) into 0 4.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.616 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.617 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.621 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.623 * [backup-simplify]: Simplify (- 0) into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.629 * [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))))))) 4.630 * [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))))))) 4.630 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.630 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.630 * [taylor]: Taking taylor expansion of +nan.0 in n 4.630 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.630 * [taylor]: Taking taylor expansion of 0.5 in n 4.630 * [backup-simplify]: Simplify 0.5 into 0.5 4.630 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.631 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.631 * [taylor]: Taking taylor expansion of 2.0 in n 4.631 * [backup-simplify]: Simplify 2.0 into 2.0 4.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.631 * [taylor]: Taking taylor expansion of PI in n 4.631 * [backup-simplify]: Simplify PI into PI 4.631 * [taylor]: Taking taylor expansion of n in n 4.631 * [backup-simplify]: Simplify 0 into 0 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify (/ PI 1) into PI 4.632 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.633 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.633 * [taylor]: Taking taylor expansion of 1.0 in n 4.633 * [backup-simplify]: Simplify 1.0 into 1.0 4.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.633 * [taylor]: Taking taylor expansion of k in n 4.633 * [backup-simplify]: Simplify k into k 4.633 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.634 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.634 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.635 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.636 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.637 * [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)))) 4.638 * [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))))) 4.639 * [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)))))) 4.641 * [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))))))) 4.642 * [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))))))) 4.647 * [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)))))))) 4.648 * [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)))) 4.648 * [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 4.648 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.648 * [taylor]: Taking taylor expansion of 1.0 in n 4.648 * [backup-simplify]: Simplify 1.0 into 1.0 4.648 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.649 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.649 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.649 * [taylor]: Taking taylor expansion of 0.5 in n 4.649 * [backup-simplify]: Simplify 0.5 into 0.5 4.649 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.649 * [taylor]: Taking taylor expansion of k in n 4.649 * [backup-simplify]: Simplify k into k 4.649 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.649 * [taylor]: Taking taylor expansion of 1.0 in n 4.649 * [backup-simplify]: Simplify 1.0 into 1.0 4.649 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.649 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.649 * [taylor]: Taking taylor expansion of -2.0 in n 4.649 * [backup-simplify]: Simplify -2.0 into -2.0 4.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.649 * [taylor]: Taking taylor expansion of PI in n 4.649 * [backup-simplify]: Simplify PI into PI 4.649 * [taylor]: Taking taylor expansion of n in n 4.649 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify 1 into 1 4.650 * [backup-simplify]: Simplify (/ PI 1) into PI 4.651 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.652 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.652 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.652 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.655 * [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)))) 4.656 * [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))))) 4.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.656 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.656 * [taylor]: Taking taylor expansion of -1 in n 4.656 * [backup-simplify]: Simplify -1 into -1 4.656 * [taylor]: Taking taylor expansion of k in n 4.656 * [backup-simplify]: Simplify k into k 4.656 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.656 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.657 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.658 * [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))) 4.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.658 * [taylor]: Taking taylor expansion of 1.0 in k 4.658 * [backup-simplify]: Simplify 1.0 into 1.0 4.658 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.658 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.658 * [taylor]: Taking taylor expansion of 0.5 in k 4.658 * [backup-simplify]: Simplify 0.5 into 0.5 4.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.659 * [taylor]: Taking taylor expansion of k in k 4.659 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify 1 into 1 4.659 * [backup-simplify]: Simplify (/ 1 1) into 1 4.659 * [taylor]: Taking taylor expansion of 1.0 in k 4.659 * [backup-simplify]: Simplify 1.0 into 1.0 4.659 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.659 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.659 * [taylor]: Taking taylor expansion of -2.0 in k 4.659 * [backup-simplify]: Simplify -2.0 into -2.0 4.659 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.659 * [taylor]: Taking taylor expansion of PI in k 4.659 * [backup-simplify]: Simplify PI into PI 4.659 * [taylor]: Taking taylor expansion of n in k 4.659 * [backup-simplify]: Simplify n into n 4.659 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.659 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.660 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.660 * [backup-simplify]: Simplify (+ 1 0) into 1 4.660 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.661 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.661 * [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)))))) 4.661 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.661 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.661 * [taylor]: Taking taylor expansion of -1 in k 4.661 * [backup-simplify]: Simplify -1 into -1 4.661 * [taylor]: Taking taylor expansion of k in k 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 1 into 1 4.662 * [backup-simplify]: Simplify (/ -1 1) into -1 4.662 * [backup-simplify]: Simplify (sqrt 0) into 0 4.664 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.664 * [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))))))) 4.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.664 * [taylor]: Taking taylor expansion of 1.0 in k 4.664 * [backup-simplify]: Simplify 1.0 into 1.0 4.664 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.664 * [taylor]: Taking taylor expansion of 0.5 in k 4.664 * [backup-simplify]: Simplify 0.5 into 0.5 4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.665 * [taylor]: Taking taylor expansion of k in k 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (/ 1 1) into 1 4.665 * [taylor]: Taking taylor expansion of 1.0 in k 4.665 * [backup-simplify]: Simplify 1.0 into 1.0 4.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.665 * [taylor]: Taking taylor expansion of -2.0 in k 4.665 * [backup-simplify]: Simplify -2.0 into -2.0 4.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.665 * [taylor]: Taking taylor expansion of PI in k 4.665 * [backup-simplify]: Simplify PI into PI 4.665 * [taylor]: Taking taylor expansion of n in k 4.665 * [backup-simplify]: Simplify n into n 4.665 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.666 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.666 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.666 * [backup-simplify]: Simplify (+ 1 0) into 1 4.667 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.667 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.667 * [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)))))) 4.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.667 * [taylor]: Taking taylor expansion of -1 in k 4.667 * [backup-simplify]: Simplify -1 into -1 4.667 * [taylor]: Taking taylor expansion of k in k 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (/ -1 1) into -1 4.668 * [backup-simplify]: Simplify (sqrt 0) into 0 4.670 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.670 * [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))))))) 4.670 * [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))))))) 4.670 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.670 * [taylor]: Taking taylor expansion of +nan.0 in n 4.670 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.670 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.671 * [taylor]: Taking taylor expansion of 0.5 in n 4.671 * [backup-simplify]: Simplify 0.5 into 0.5 4.671 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.671 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.671 * [taylor]: Taking taylor expansion of k in n 4.671 * [backup-simplify]: Simplify k into k 4.671 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.671 * [taylor]: Taking taylor expansion of 1.0 in n 4.671 * [backup-simplify]: Simplify 1.0 into 1.0 4.671 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.671 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.671 * [taylor]: Taking taylor expansion of -2.0 in n 4.671 * [backup-simplify]: Simplify -2.0 into -2.0 4.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.671 * [taylor]: Taking taylor expansion of PI in n 4.671 * [backup-simplify]: Simplify PI into PI 4.671 * [taylor]: Taking taylor expansion of n in n 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ PI 1) into PI 4.672 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.673 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.673 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.676 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.678 * [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)))) 4.679 * [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))))) 4.680 * [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)))))) 4.682 * [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)))))) 4.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.687 * [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)))))))) 4.688 * [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)))))))) 4.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.688 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.688 * [taylor]: Taking taylor expansion of +nan.0 in n 4.688 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.688 * [taylor]: Taking taylor expansion of 0.5 in n 4.688 * [backup-simplify]: Simplify 0.5 into 0.5 4.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.688 * [taylor]: Taking taylor expansion of k in n 4.688 * [backup-simplify]: Simplify k into k 4.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.688 * [taylor]: Taking taylor expansion of 1.0 in n 4.688 * [backup-simplify]: Simplify 1.0 into 1.0 4.688 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.688 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.688 * [taylor]: Taking taylor expansion of -2.0 in n 4.688 * [backup-simplify]: Simplify -2.0 into -2.0 4.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.688 * [taylor]: Taking taylor expansion of PI in n 4.688 * [backup-simplify]: Simplify PI into PI 4.688 * [taylor]: Taking taylor expansion of n in n 4.688 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (/ PI 1) into PI 4.690 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.691 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.691 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.694 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.696 * [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)))) 4.697 * [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))))) 4.698 * [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)))))) 4.700 * [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))))))) 4.701 * [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))))))) 4.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.703 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.708 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.709 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.710 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.715 * [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)))))))) 4.716 * [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)))))))) 4.716 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.716 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.716 * [taylor]: Taking taylor expansion of +nan.0 in n 4.716 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.716 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.716 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.716 * [taylor]: Taking taylor expansion of 0.5 in n 4.716 * [backup-simplify]: Simplify 0.5 into 0.5 4.716 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.716 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.716 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.716 * [taylor]: Taking taylor expansion of k in n 4.716 * [backup-simplify]: Simplify k into k 4.716 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.716 * [taylor]: Taking taylor expansion of 1.0 in n 4.716 * [backup-simplify]: Simplify 1.0 into 1.0 4.716 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.716 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.716 * [taylor]: Taking taylor expansion of -2.0 in n 4.716 * [backup-simplify]: Simplify -2.0 into -2.0 4.716 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.716 * [taylor]: Taking taylor expansion of PI in n 4.716 * [backup-simplify]: Simplify PI into PI 4.717 * [taylor]: Taking taylor expansion of n in n 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ PI 1) into PI 4.717 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.718 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.718 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.720 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.720 * [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)))) 4.721 * [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))))) 4.722 * [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)))))) 4.723 * [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))))))) 4.723 * [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))))))) 4.727 * [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)))))))))))) 4.727 * * * [progress]: simplifying candidates 4.729 * [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))) (* 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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)))))))))))) 4.734 * * [simplify]: Extracting # 0 : cost 0 4.734 * * [simplify]: Extracting # 1 : cost 0 4.735 * * [simplify]: Extracting # 2 : cost 0 4.735 * * [simplify]: Extracting # 3 : cost 0 4.735 * * [simplify]: Extracting # 4 : cost 0 4.736 * * [simplify]: Extracting # 5 : cost 0 4.736 * * [simplify]: Extracting # 6 : cost 0 4.741 * * [simplify]: Extracting # 7 : cost 0 4.741 * * [simplify]: Extracting # 8 : cost 0 4.742 * * [simplify]: Extracting # 9 : cost 0 4.742 * * [simplify]: Extracting # 10 : cost 0 4.743 * * [simplify]: Extracting # 11 : cost 0 4.743 * * [simplify]: Extracting # 12 : cost 0 4.743 * * [simplify]: Extracting # 13 : cost 0 4.744 * * [simplify]: Extracting # 14 : cost 0 4.744 * * [simplify]: Extracting # 15 : cost 0 4.745 * * [simplify]: Extracting # 16 : cost 0 4.746 * * [simplify]: Extracting # 17 : cost 0 4.747 * * [simplify]: Extracting # 18 : cost 0 4.749 * * [simplify]: Extracting # 19 : cost 0 4.750 * * [simplify]: Extracting # 20 : cost 0 4.751 * * [simplify]: Extracting # 21 : cost 0 4.752 * * [simplify]: Extracting # 22 : cost 0 4.753 * * [simplify]: Extracting # 23 : cost 0 4.754 * * [simplify]: Extracting # 24 : cost 0 4.755 * * [simplify]: Extracting # 25 : cost 0 4.756 * * [simplify]: Extracting # 26 : cost 0 4.757 * * [simplify]: Extracting # 27 : cost 0 4.758 * * [simplify]: Extracting # 28 : cost 0 4.759 * * [simplify]: Extracting # 29 : cost 0 4.760 * * [simplify]: Extracting # 30 : cost 0 4.761 * * [simplify]: Extracting # 31 : cost 0 4.763 * * [simplify]: Extracting # 32 : cost 0 4.764 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 4.952 * * [simplify]: Extracting # 0 : cost 0 4.955 * * [simplify]: Extracting # 1 : cost 0 4.957 * * [simplify]: Extracting # 2 : cost 0 4.961 * * [simplify]: Extracting # 3 : cost 0 4.963 * * [simplify]: Extracting # 4 : cost 0 4.966 * * [simplify]: Extracting # 5 : cost 0 4.968 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.536 * * [simplify]: Extracting # 0 : cost 0 5.543 * * [simplify]: Extracting # 1 : cost 0 5.551 * * [simplify]: Extracting # 2 : cost 0 5.558 * * [simplify]: Extracting # 3 : cost 0 5.564 * * [simplify]: Extracting # 4 : cost 0 5.572 * * [simplify]: Extracting # 5 : cost 0 5.579 * * [simplify]: iteration 2 : 3047 enodes (cost 2471 ) 6.759 * * [simplify]: Extracting # 0 : cost 0 6.768 * * [simplify]: Extracting # 1 : cost 0 6.782 * * [simplify]: Extracting # 2 : cost 0 6.788 * * [simplify]: Extracting # 3 : cost 0 6.795 * * [simplify]: Extracting # 4 : cost 0 6.805 * * [simplify]: iteration done: 5000 enodes (cost 2471 ) 6.807 * [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)))) 6.809 * * * [progress]: adding candidates to table 7.512 * * [progress]: iteration 2 / 4 7.512 * * * [progress]: picking best candidate 7.549 * * * * [pick]: Picked # 7.549 * * * [progress]: localizing error 7.580 * * * [progress]: generating rewritten candidates 7.580 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 7.589 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.600 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.639 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.665 * * * [progress]: generating series expansions 7.665 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 7.666 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 7.666 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 7.666 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.666 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.666 * [taylor]: Taking taylor expansion of 0.5 in k 7.666 * [backup-simplify]: Simplify 0.5 into 0.5 7.666 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.666 * [taylor]: Taking taylor expansion of 1.0 in k 7.666 * [backup-simplify]: Simplify 1.0 into 1.0 7.666 * [taylor]: Taking taylor expansion of k in k 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 1 into 1 7.666 * [taylor]: Taking taylor expansion of (log n) in k 7.666 * [taylor]: Taking taylor expansion of n in k 7.666 * [backup-simplify]: Simplify n into n 7.666 * [backup-simplify]: Simplify (log n) into (log n) 7.667 * [backup-simplify]: Simplify (- 0) into 0 7.667 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.667 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.667 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.667 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.667 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.667 * [taylor]: Taking taylor expansion of 0.5 in n 7.668 * [backup-simplify]: Simplify 0.5 into 0.5 7.668 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.668 * [taylor]: Taking taylor expansion of 1.0 in n 7.668 * [backup-simplify]: Simplify 1.0 into 1.0 7.668 * [taylor]: Taking taylor expansion of k in n 7.668 * [backup-simplify]: Simplify k into k 7.668 * [taylor]: Taking taylor expansion of (log n) in n 7.668 * [taylor]: Taking taylor expansion of n in n 7.668 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify 1 into 1 7.668 * [backup-simplify]: Simplify (log 1) into 0 7.668 * [backup-simplify]: Simplify (- k) into (- k) 7.668 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.668 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.668 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.669 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.669 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.669 * [taylor]: Taking taylor expansion of 0.5 in n 7.669 * [backup-simplify]: Simplify 0.5 into 0.5 7.669 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.669 * [taylor]: Taking taylor expansion of 1.0 in n 7.669 * [backup-simplify]: Simplify 1.0 into 1.0 7.669 * [taylor]: Taking taylor expansion of k in n 7.669 * [backup-simplify]: Simplify k into k 7.669 * [taylor]: Taking taylor expansion of (log n) in n 7.669 * [taylor]: Taking taylor expansion of n in n 7.669 * [backup-simplify]: Simplify 0 into 0 7.669 * [backup-simplify]: Simplify 1 into 1 7.669 * [backup-simplify]: Simplify (log 1) into 0 7.669 * [backup-simplify]: Simplify (- k) into (- k) 7.669 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.669 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.670 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.670 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.670 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.670 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 7.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 7.670 * [taylor]: Taking taylor expansion of 0.5 in k 7.670 * [backup-simplify]: Simplify 0.5 into 0.5 7.670 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.670 * [taylor]: Taking taylor expansion of 1.0 in k 7.670 * [backup-simplify]: Simplify 1.0 into 1.0 7.670 * [taylor]: Taking taylor expansion of k in k 7.670 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify 1 into 1 7.670 * [taylor]: Taking taylor expansion of (log n) in k 7.670 * [taylor]: Taking taylor expansion of n in k 7.670 * [backup-simplify]: Simplify n into n 7.670 * [backup-simplify]: Simplify (log n) into (log n) 7.670 * [backup-simplify]: Simplify (- 0) into 0 7.671 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.671 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.671 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 7.671 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.671 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 7.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.672 * [backup-simplify]: Simplify (- 0) into 0 7.672 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.673 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.673 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 7.674 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.674 * [taylor]: Taking taylor expansion of 0 in k 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.674 * [backup-simplify]: Simplify (- 1) into -1 7.675 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 7.675 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 7.675 * [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))) 7.676 * [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))) 7.677 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.677 * [backup-simplify]: Simplify (- 0) into 0 7.678 * [backup-simplify]: Simplify (+ 0 0) into 0 7.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.679 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 7.680 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.680 * [taylor]: Taking taylor expansion of 0 in k 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 0 into 0 7.681 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify (+ 0 0) into 0 7.682 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 7.683 * [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))) 7.684 * [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))) 7.684 * [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)))) 7.685 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 7.685 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.685 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 7.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 7.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.685 * [taylor]: Taking taylor expansion of 0.5 in k 7.685 * [backup-simplify]: Simplify 0.5 into 0.5 7.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.685 * [taylor]: Taking taylor expansion of 1.0 in k 7.685 * [backup-simplify]: Simplify 1.0 into 1.0 7.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.685 * [taylor]: Taking taylor expansion of k in k 7.685 * [backup-simplify]: Simplify 0 into 0 7.685 * [backup-simplify]: Simplify 1 into 1 7.685 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 7.685 * [taylor]: Taking taylor expansion of (/ 1 n) in k 7.685 * [taylor]: Taking taylor expansion of n in k 7.685 * [backup-simplify]: Simplify n into n 7.685 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.685 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 7.685 * [backup-simplify]: Simplify (- 1) into -1 7.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.686 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.686 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 7.686 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 7.686 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.686 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.686 * [taylor]: Taking taylor expansion of 0.5 in n 7.686 * [backup-simplify]: Simplify 0.5 into 0.5 7.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.686 * [taylor]: Taking taylor expansion of 1.0 in n 7.686 * [backup-simplify]: Simplify 1.0 into 1.0 7.686 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.686 * [taylor]: Taking taylor expansion of k in n 7.686 * [backup-simplify]: Simplify k into k 7.686 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.686 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.687 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.687 * [taylor]: Taking taylor expansion of n in n 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [backup-simplify]: Simplify (/ 1 1) into 1 7.687 * [backup-simplify]: Simplify (log 1) into 0 7.687 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.687 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.687 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.688 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.688 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.688 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.688 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.688 * [taylor]: Taking taylor expansion of 0.5 in n 7.688 * [backup-simplify]: Simplify 0.5 into 0.5 7.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.688 * [taylor]: Taking taylor expansion of 1.0 in n 7.688 * [backup-simplify]: Simplify 1.0 into 1.0 7.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.688 * [taylor]: Taking taylor expansion of k in n 7.688 * [backup-simplify]: Simplify k into k 7.688 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.688 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.688 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.688 * [taylor]: Taking taylor expansion of n in n 7.688 * [backup-simplify]: Simplify 0 into 0 7.688 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (/ 1 1) into 1 7.689 * [backup-simplify]: Simplify (log 1) into 0 7.689 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.689 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.689 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.690 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.690 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.690 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 7.690 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 7.690 * [taylor]: Taking taylor expansion of -0.5 in k 7.690 * [backup-simplify]: Simplify -0.5 into -0.5 7.690 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 7.690 * [taylor]: Taking taylor expansion of (log n) in k 7.690 * [taylor]: Taking taylor expansion of n in k 7.690 * [backup-simplify]: Simplify n into n 7.690 * [backup-simplify]: Simplify (log n) into (log n) 7.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.690 * [taylor]: Taking taylor expansion of 1.0 in k 7.690 * [backup-simplify]: Simplify 1.0 into 1.0 7.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.690 * [taylor]: Taking taylor expansion of k in k 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.691 * [backup-simplify]: Simplify (/ 1 1) into 1 7.691 * [backup-simplify]: Simplify (- 1) into -1 7.692 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.692 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 7.692 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 7.692 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.692 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.695 * [backup-simplify]: Simplify (- 0) into 0 7.696 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.697 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 7.698 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.698 * [taylor]: Taking taylor expansion of 0 in k 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.702 * [backup-simplify]: Simplify (- 0) into 0 7.703 * [backup-simplify]: Simplify (+ 0 0) into 0 7.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.705 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 7.706 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.706 * [taylor]: Taking taylor expansion of 0 in k 7.706 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.714 * [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 7.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.714 * [backup-simplify]: Simplify (- 0) into 0 7.715 * [backup-simplify]: Simplify (+ 0 0) into 0 7.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.717 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 7.719 * [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 7.719 * [taylor]: Taking taylor expansion of 0 in k 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 7.720 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 7.720 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.720 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 7.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 7.720 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.720 * [taylor]: Taking taylor expansion of 0.5 in k 7.720 * [backup-simplify]: Simplify 0.5 into 0.5 7.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.720 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.720 * [taylor]: Taking taylor expansion of k in k 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [taylor]: Taking taylor expansion of 1.0 in k 7.721 * [backup-simplify]: Simplify 1.0 into 1.0 7.721 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 7.721 * [taylor]: Taking taylor expansion of (/ -1 n) in k 7.721 * [taylor]: Taking taylor expansion of -1 in k 7.721 * [backup-simplify]: Simplify -1 into -1 7.721 * [taylor]: Taking taylor expansion of n in k 7.721 * [backup-simplify]: Simplify n into n 7.721 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.721 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 7.722 * [backup-simplify]: Simplify (+ 1 0) into 1 7.722 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.722 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 7.722 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 7.722 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.723 * [taylor]: Taking taylor expansion of 0.5 in n 7.723 * [backup-simplify]: Simplify 0.5 into 0.5 7.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.723 * [taylor]: Taking taylor expansion of k in n 7.723 * [backup-simplify]: Simplify k into k 7.723 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.723 * [taylor]: Taking taylor expansion of 1.0 in n 7.723 * [backup-simplify]: Simplify 1.0 into 1.0 7.723 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.723 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.723 * [taylor]: Taking taylor expansion of -1 in n 7.723 * [backup-simplify]: Simplify -1 into -1 7.723 * [taylor]: Taking taylor expansion of n in n 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (/ -1 1) into -1 7.724 * [backup-simplify]: Simplify (log -1) into (log -1) 7.724 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.724 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.726 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.727 * [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)))) 7.727 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.727 * [taylor]: Taking taylor expansion of 0.5 in n 7.727 * [backup-simplify]: Simplify 0.5 into 0.5 7.727 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.727 * [taylor]: Taking taylor expansion of k in n 7.727 * [backup-simplify]: Simplify k into k 7.727 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.727 * [taylor]: Taking taylor expansion of 1.0 in n 7.727 * [backup-simplify]: Simplify 1.0 into 1.0 7.727 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.727 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.727 * [taylor]: Taking taylor expansion of -1 in n 7.727 * [backup-simplify]: Simplify -1 into -1 7.727 * [taylor]: Taking taylor expansion of n in n 7.727 * [backup-simplify]: Simplify 0 into 0 7.727 * [backup-simplify]: Simplify 1 into 1 7.728 * [backup-simplify]: Simplify (/ -1 1) into -1 7.728 * [backup-simplify]: Simplify (log -1) into (log -1) 7.728 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.728 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.729 * [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 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 7.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 7.731 * [taylor]: Taking taylor expansion of 0.5 in k 7.731 * [backup-simplify]: Simplify 0.5 into 0.5 7.731 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 7.731 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 7.731 * [taylor]: Taking taylor expansion of (log -1) in k 7.731 * [taylor]: Taking taylor expansion of -1 in k 7.731 * [backup-simplify]: Simplify -1 into -1 7.732 * [backup-simplify]: Simplify (log -1) into (log -1) 7.732 * [taylor]: Taking taylor expansion of (log n) in k 7.732 * [taylor]: Taking taylor expansion of n in k 7.732 * [backup-simplify]: Simplify n into n 7.732 * [backup-simplify]: Simplify (log n) into (log n) 7.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.732 * [taylor]: Taking taylor expansion of k in k 7.732 * [backup-simplify]: Simplify 0 into 0 7.732 * [backup-simplify]: Simplify 1 into 1 7.733 * [backup-simplify]: Simplify (/ 1 1) into 1 7.733 * [taylor]: Taking taylor expansion of 1.0 in k 7.733 * [backup-simplify]: Simplify 1.0 into 1.0 7.733 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.733 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 7.734 * [backup-simplify]: Simplify (+ 1 0) into 1 7.734 * [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 7.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.739 * [backup-simplify]: Simplify (+ 0 0) into 0 7.740 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.741 * [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 7.743 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.743 * [taylor]: Taking taylor expansion of 0 in k 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.747 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.748 * [backup-simplify]: Simplify (+ 0 0) into 0 7.749 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.751 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 7.753 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.753 * [taylor]: Taking taylor expansion of 0 in k 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.753 * [backup-simplify]: Simplify 0 into 0 7.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.760 * [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 7.761 * [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 7.767 * [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 7.767 * [taylor]: Taking taylor expansion of 0 in k 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [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)))))) 7.768 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 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 7.769 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.769 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.769 * [taylor]: Taking taylor expansion of 0.5 in k 7.769 * [backup-simplify]: Simplify 0.5 into 0.5 7.769 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.769 * [taylor]: Taking taylor expansion of 1.0 in k 7.769 * [backup-simplify]: Simplify 1.0 into 1.0 7.769 * [taylor]: Taking taylor expansion of k in k 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify 1 into 1 7.769 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.769 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.769 * [taylor]: Taking taylor expansion of 2.0 in k 7.769 * [backup-simplify]: Simplify 2.0 into 2.0 7.769 * [taylor]: Taking taylor expansion of PI in k 7.769 * [backup-simplify]: Simplify PI into PI 7.770 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.771 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.771 * [backup-simplify]: Simplify (- 0) into 0 7.771 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.772 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.774 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.777 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.777 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.777 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.777 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.777 * [taylor]: Taking taylor expansion of 0.5 in k 7.777 * [backup-simplify]: Simplify 0.5 into 0.5 7.777 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.777 * [taylor]: Taking taylor expansion of 1.0 in k 7.777 * [backup-simplify]: Simplify 1.0 into 1.0 7.777 * [taylor]: Taking taylor expansion of k in k 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 1 into 1 7.777 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.777 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.777 * [taylor]: Taking taylor expansion of 2.0 in k 7.777 * [backup-simplify]: Simplify 2.0 into 2.0 7.777 * [taylor]: Taking taylor expansion of PI in k 7.777 * [backup-simplify]: Simplify PI into PI 7.778 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.779 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.779 * [backup-simplify]: Simplify (- 0) into 0 7.780 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.780 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.782 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.785 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.786 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 7.787 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.790 * [backup-simplify]: Simplify (- 1) into -1 7.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.792 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.804 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.819 * [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))) 7.826 * [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))) 7.827 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.831 * [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 7.832 * [backup-simplify]: Simplify (- 0) into 0 7.832 * [backup-simplify]: Simplify (+ 0 0) into 0 7.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.851 * [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))) 7.860 * [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))) 7.878 * [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)))) 7.878 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 7.878 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 7.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.878 * [taylor]: Taking taylor expansion of 0.5 in k 7.878 * [backup-simplify]: Simplify 0.5 into 0.5 7.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.878 * [taylor]: Taking taylor expansion of 1.0 in k 7.878 * [backup-simplify]: Simplify 1.0 into 1.0 7.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.878 * [taylor]: Taking taylor expansion of k in k 7.878 * [backup-simplify]: Simplify 0 into 0 7.878 * [backup-simplify]: Simplify 1 into 1 7.879 * [backup-simplify]: Simplify (/ 1 1) into 1 7.879 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.879 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.879 * [taylor]: Taking taylor expansion of 2.0 in k 7.879 * [backup-simplify]: Simplify 2.0 into 2.0 7.879 * [taylor]: Taking taylor expansion of PI in k 7.879 * [backup-simplify]: Simplify PI into PI 7.879 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.880 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.880 * [backup-simplify]: Simplify (- 1) into -1 7.880 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.880 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.882 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.882 * [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))))) 7.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.882 * [taylor]: Taking taylor expansion of 0.5 in k 7.882 * [backup-simplify]: Simplify 0.5 into 0.5 7.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.882 * [taylor]: Taking taylor expansion of 1.0 in k 7.882 * [backup-simplify]: Simplify 1.0 into 1.0 7.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.883 * [taylor]: Taking taylor expansion of k in k 7.883 * [backup-simplify]: Simplify 0 into 0 7.883 * [backup-simplify]: Simplify 1 into 1 7.883 * [backup-simplify]: Simplify (/ 1 1) into 1 7.883 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.883 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.883 * [taylor]: Taking taylor expansion of 2.0 in k 7.883 * [backup-simplify]: Simplify 2.0 into 2.0 7.883 * [taylor]: Taking taylor expansion of PI in k 7.883 * [backup-simplify]: Simplify PI into PI 7.883 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.884 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.884 * [backup-simplify]: Simplify (- 1) into -1 7.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.885 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.886 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.887 * [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))))) 7.887 * [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))))) 7.887 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [backup-simplify]: Simplify 0 into 0 7.888 * [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))))) 7.889 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 7.889 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 7.889 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.889 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.889 * [taylor]: Taking taylor expansion of 0.5 in k 7.889 * [backup-simplify]: Simplify 0.5 into 0.5 7.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.889 * [taylor]: Taking taylor expansion of k in k 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (/ 1 1) into 1 7.889 * [taylor]: Taking taylor expansion of 1.0 in k 7.889 * [backup-simplify]: Simplify 1.0 into 1.0 7.889 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.889 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.889 * [taylor]: Taking taylor expansion of 2.0 in k 7.889 * [backup-simplify]: Simplify 2.0 into 2.0 7.889 * [taylor]: Taking taylor expansion of PI in k 7.889 * [backup-simplify]: Simplify PI into PI 7.890 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.890 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.891 * [backup-simplify]: Simplify (+ 1 0) into 1 7.891 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.892 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.893 * [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)))) 7.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.893 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.893 * [taylor]: Taking taylor expansion of 0.5 in k 7.893 * [backup-simplify]: Simplify 0.5 into 0.5 7.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.893 * [taylor]: Taking taylor expansion of k in k 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (/ 1 1) into 1 7.893 * [taylor]: Taking taylor expansion of 1.0 in k 7.893 * [backup-simplify]: Simplify 1.0 into 1.0 7.893 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.893 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.894 * [taylor]: Taking taylor expansion of 2.0 in k 7.894 * [backup-simplify]: Simplify 2.0 into 2.0 7.894 * [taylor]: Taking taylor expansion of PI in k 7.894 * [backup-simplify]: Simplify PI into PI 7.894 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.894 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.895 * [backup-simplify]: Simplify (+ 1 0) into 1 7.895 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.896 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.897 * [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)))) 7.898 * [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)))) 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 0 into 0 7.899 * [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))))) 7.899 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.899 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) into (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) 7.899 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 7.899 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 7.899 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 7.899 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 7.899 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 7.899 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.899 * [taylor]: Taking taylor expansion of 0.5 in n 7.899 * [backup-simplify]: Simplify 0.5 into 0.5 7.899 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.899 * [taylor]: Taking taylor expansion of 1.0 in n 7.899 * [backup-simplify]: Simplify 1.0 into 1.0 7.899 * [taylor]: Taking taylor expansion of k in n 7.899 * [backup-simplify]: Simplify k into k 7.899 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 7.899 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 7.899 * [taylor]: Taking taylor expansion of 2.0 in n 7.899 * [backup-simplify]: Simplify 2.0 into 2.0 7.899 * [taylor]: Taking taylor expansion of PI in n 7.899 * [backup-simplify]: Simplify PI into PI 7.900 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.900 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.900 * [backup-simplify]: Simplify (- k) into (- k) 7.901 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.901 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.901 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) 7.902 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 7.902 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.902 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.902 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.902 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.902 * [taylor]: Taking taylor expansion of 0.5 in n 7.902 * [backup-simplify]: Simplify 0.5 into 0.5 7.902 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.902 * [taylor]: Taking taylor expansion of 1.0 in n 7.902 * [backup-simplify]: Simplify 1.0 into 1.0 7.902 * [taylor]: Taking taylor expansion of k in n 7.902 * [backup-simplify]: Simplify k into k 7.902 * [taylor]: Taking taylor expansion of (log n) in n 7.902 * [taylor]: Taking taylor expansion of n in n 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.903 * [backup-simplify]: Simplify (log 1) into 0 7.903 * [backup-simplify]: Simplify (- k) into (- k) 7.903 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.903 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.903 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.903 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.903 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.903 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 7.903 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.903 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.903 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.903 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.903 * [taylor]: Taking taylor expansion of 0.5 in k 7.903 * [backup-simplify]: Simplify 0.5 into 0.5 7.903 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.903 * [taylor]: Taking taylor expansion of 1.0 in k 7.903 * [backup-simplify]: Simplify 1.0 into 1.0 7.903 * [taylor]: Taking taylor expansion of k in k 7.903 * [backup-simplify]: Simplify 0 into 0 7.903 * [backup-simplify]: Simplify 1 into 1 7.903 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.903 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.903 * [taylor]: Taking taylor expansion of 2.0 in k 7.903 * [backup-simplify]: Simplify 2.0 into 2.0 7.903 * [taylor]: Taking taylor expansion of PI in k 7.903 * [backup-simplify]: Simplify PI into PI 7.904 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.904 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.905 * [backup-simplify]: Simplify (- 0) into 0 7.905 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.905 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.906 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.908 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.908 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.908 * [taylor]: Taking taylor expansion of 0.5 in k 7.908 * [backup-simplify]: Simplify 0.5 into 0.5 7.908 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.908 * [taylor]: Taking taylor expansion of 1.0 in k 7.908 * [backup-simplify]: Simplify 1.0 into 1.0 7.908 * [taylor]: Taking taylor expansion of k in k 7.908 * [backup-simplify]: Simplify 0 into 0 7.908 * [backup-simplify]: Simplify 1 into 1 7.908 * [taylor]: Taking taylor expansion of (log n) in k 7.908 * [taylor]: Taking taylor expansion of n in k 7.908 * [backup-simplify]: Simplify n into n 7.908 * [backup-simplify]: Simplify (log n) into (log n) 7.908 * [backup-simplify]: Simplify (- 0) into 0 7.908 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.909 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.909 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.909 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.909 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 7.909 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.909 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.909 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.909 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.909 * [taylor]: Taking taylor expansion of 0.5 in k 7.909 * [backup-simplify]: Simplify 0.5 into 0.5 7.909 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.909 * [taylor]: Taking taylor expansion of 1.0 in k 7.909 * [backup-simplify]: Simplify 1.0 into 1.0 7.909 * [taylor]: Taking taylor expansion of k in k 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify 1 into 1 7.909 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.909 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.909 * [taylor]: Taking taylor expansion of 2.0 in k 7.909 * [backup-simplify]: Simplify 2.0 into 2.0 7.909 * [taylor]: Taking taylor expansion of PI in k 7.909 * [backup-simplify]: Simplify PI into PI 7.910 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.910 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.910 * [backup-simplify]: Simplify (- 0) into 0 7.911 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.911 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.912 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.913 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.914 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.914 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.914 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.914 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.914 * [taylor]: Taking taylor expansion of 0.5 in k 7.914 * [backup-simplify]: Simplify 0.5 into 0.5 7.914 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.914 * [taylor]: Taking taylor expansion of 1.0 in k 7.914 * [backup-simplify]: Simplify 1.0 into 1.0 7.914 * [taylor]: Taking taylor expansion of k in k 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 1 into 1 7.914 * [taylor]: Taking taylor expansion of (log n) in k 7.914 * [taylor]: Taking taylor expansion of n in k 7.914 * [backup-simplify]: Simplify n into n 7.914 * [backup-simplify]: Simplify (log n) into (log n) 7.914 * [backup-simplify]: Simplify (- 0) into 0 7.914 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.915 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.915 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.915 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.916 * [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) 7.916 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.916 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.916 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.916 * [taylor]: Taking taylor expansion of 0.5 in n 7.916 * [backup-simplify]: Simplify 0.5 into 0.5 7.916 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.916 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.916 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.916 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.916 * [taylor]: Taking taylor expansion of 1.0 in n 7.916 * [backup-simplify]: Simplify 1.0 into 1.0 7.916 * [taylor]: Taking taylor expansion of (log PI) in n 7.916 * [taylor]: Taking taylor expansion of PI in n 7.916 * [backup-simplify]: Simplify PI into PI 7.916 * [backup-simplify]: Simplify (log PI) into (log PI) 7.917 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.918 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.918 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.918 * [taylor]: Taking taylor expansion of 1.0 in n 7.918 * [backup-simplify]: Simplify 1.0 into 1.0 7.918 * [taylor]: Taking taylor expansion of (log n) in n 7.918 * [taylor]: Taking taylor expansion of n in n 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify 1 into 1 7.918 * [backup-simplify]: Simplify (log 1) into 0 7.918 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.918 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.919 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.919 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.919 * [taylor]: Taking taylor expansion of 1.0 in n 7.919 * [backup-simplify]: Simplify 1.0 into 1.0 7.919 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.919 * [taylor]: Taking taylor expansion of 2.0 in n 7.919 * [backup-simplify]: Simplify 2.0 into 2.0 7.919 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.919 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.920 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.921 * [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) 7.922 * [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) 7.922 * [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)) 7.923 * [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))) 7.924 * [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) 7.925 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 7.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.936 * [backup-simplify]: Simplify (- 1) into -1 7.936 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.938 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 7.939 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 7.940 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.942 * [backup-simplify]: Simplify (- 1) into -1 7.942 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.943 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.945 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.953 * [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))) 7.958 * [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))))) 7.958 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 7.958 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 7.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 7.958 * [taylor]: Taking taylor expansion of 0.5 in n 7.958 * [backup-simplify]: Simplify 0.5 into 0.5 7.958 * [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 7.958 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 7.958 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 7.958 * [taylor]: Taking taylor expansion of 2.0 in n 7.958 * [backup-simplify]: Simplify 2.0 into 2.0 7.958 * [taylor]: Taking taylor expansion of PI in n 7.958 * [backup-simplify]: Simplify PI into PI 7.959 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.959 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.959 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.959 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.959 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.959 * [taylor]: Taking taylor expansion of 0.5 in n 7.959 * [backup-simplify]: Simplify 0.5 into 0.5 7.959 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.959 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.959 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.959 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.959 * [taylor]: Taking taylor expansion of 1.0 in n 7.959 * [backup-simplify]: Simplify 1.0 into 1.0 7.959 * [taylor]: Taking taylor expansion of (log PI) in n 7.959 * [taylor]: Taking taylor expansion of PI in n 7.960 * [backup-simplify]: Simplify PI into PI 7.960 * [backup-simplify]: Simplify (log PI) into (log PI) 7.960 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.961 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.961 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.961 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.961 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.961 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.961 * [taylor]: Taking taylor expansion of 1.0 in n 7.962 * [backup-simplify]: Simplify 1.0 into 1.0 7.962 * [taylor]: Taking taylor expansion of (log n) in n 7.962 * [taylor]: Taking taylor expansion of n in n 7.962 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify 1 into 1 7.962 * [backup-simplify]: Simplify (log 1) into 0 7.962 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.962 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.962 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.962 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.962 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.962 * [taylor]: Taking taylor expansion of 1.0 in n 7.962 * [backup-simplify]: Simplify 1.0 into 1.0 7.962 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.962 * [taylor]: Taking taylor expansion of 2.0 in n 7.962 * [backup-simplify]: Simplify 2.0 into 2.0 7.963 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.963 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.964 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.965 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 7.965 * [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) 7.966 * [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)) 7.967 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 7.968 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.968 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 7.968 * [taylor]: Taking taylor expansion of 0.5 in n 7.968 * [backup-simplify]: Simplify 0.5 into 0.5 7.968 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 7.968 * [taylor]: Taking taylor expansion of (log n) in n 7.968 * [taylor]: Taking taylor expansion of n in n 7.968 * [backup-simplify]: Simplify 0 into 0 7.968 * [backup-simplify]: Simplify 1 into 1 7.968 * [backup-simplify]: Simplify (log 1) into 0 7.968 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.968 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.968 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.968 * [taylor]: Taking taylor expansion of 0.5 in n 7.968 * [backup-simplify]: Simplify 0.5 into 0.5 7.968 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.968 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.968 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.969 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.969 * [taylor]: Taking taylor expansion of 1.0 in n 7.969 * [backup-simplify]: Simplify 1.0 into 1.0 7.969 * [taylor]: Taking taylor expansion of (log PI) in n 7.969 * [taylor]: Taking taylor expansion of PI in n 7.969 * [backup-simplify]: Simplify PI into PI 7.969 * [backup-simplify]: Simplify (log PI) into (log PI) 7.969 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.970 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.970 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.971 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.971 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.971 * [taylor]: Taking taylor expansion of 1.0 in n 7.971 * [backup-simplify]: Simplify 1.0 into 1.0 7.971 * [taylor]: Taking taylor expansion of (log n) in n 7.971 * [taylor]: Taking taylor expansion of n in n 7.971 * [backup-simplify]: Simplify 0 into 0 7.971 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (log 1) into 0 7.971 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.971 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.971 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.971 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.971 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.971 * [taylor]: Taking taylor expansion of 1.0 in n 7.971 * [backup-simplify]: Simplify 1.0 into 1.0 7.971 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.971 * [taylor]: Taking taylor expansion of 2.0 in n 7.971 * [backup-simplify]: Simplify 2.0 into 2.0 7.972 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.972 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.974 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.974 * [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) 7.975 * [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) 7.977 * [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)) 7.978 * [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))) 7.980 * [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) 7.982 * [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)) 7.985 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 7.985 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.987 * [backup-simplify]: Simplify (* (log n) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) 7.989 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 7.993 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 7.998 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.002 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 8.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 8.005 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 8.007 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 8.008 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.009 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 8.010 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 8.011 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 8.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 8.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 8.015 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 8.017 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 8.019 * [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 8.021 * [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 8.023 * [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 8.023 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.025 * [backup-simplify]: Simplify (- 0) into 0 8.026 * [backup-simplify]: Simplify (+ 0 0) into 0 8.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 8.029 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.030 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.034 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.034 * [backup-simplify]: Simplify (- 0) into 0 8.035 * [backup-simplify]: Simplify (+ 0 0) into 0 8.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.038 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.050 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.067 * [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))))) 8.067 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 8.067 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.067 * [taylor]: Taking taylor expansion of 0.125 in n 8.067 * [backup-simplify]: Simplify 0.125 into 0.125 8.067 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 8.067 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 8.067 * [taylor]: Taking taylor expansion of (log n) in n 8.067 * [taylor]: Taking taylor expansion of n in n 8.067 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify 1 into 1 8.068 * [backup-simplify]: Simplify (log 1) into 0 8.068 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.068 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.068 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.068 * [taylor]: Taking taylor expansion of 0.5 in n 8.068 * [backup-simplify]: Simplify 0.5 into 0.5 8.068 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.068 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.068 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.068 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.068 * [taylor]: Taking taylor expansion of 1.0 in n 8.068 * [backup-simplify]: Simplify 1.0 into 1.0 8.068 * [taylor]: Taking taylor expansion of (log PI) in n 8.068 * [taylor]: Taking taylor expansion of PI in n 8.068 * [backup-simplify]: Simplify PI into PI 8.068 * [backup-simplify]: Simplify (log PI) into (log PI) 8.069 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.070 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.070 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.070 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.070 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.070 * [taylor]: Taking taylor expansion of 1.0 in n 8.070 * [backup-simplify]: Simplify 1.0 into 1.0 8.070 * [taylor]: Taking taylor expansion of (log n) in n 8.070 * [taylor]: Taking taylor expansion of n in n 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 1 into 1 8.071 * [backup-simplify]: Simplify (log 1) into 0 8.071 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.071 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.071 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.071 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.071 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.071 * [taylor]: Taking taylor expansion of 1.0 in n 8.071 * [backup-simplify]: Simplify 1.0 into 1.0 8.071 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.071 * [taylor]: Taking taylor expansion of 2.0 in n 8.071 * [backup-simplify]: Simplify 2.0 into 2.0 8.071 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.072 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.073 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.073 * [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) 8.074 * [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) 8.075 * [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)) 8.076 * [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))) 8.077 * [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) 8.077 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 8.077 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 8.077 * [taylor]: Taking taylor expansion of 0.25 in n 8.077 * [backup-simplify]: Simplify 0.25 into 0.25 8.077 * [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 8.077 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 8.077 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.077 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.077 * [taylor]: Taking taylor expansion of 2.0 in n 8.077 * [backup-simplify]: Simplify 2.0 into 2.0 8.077 * [taylor]: Taking taylor expansion of PI in n 8.077 * [backup-simplify]: Simplify PI into PI 8.078 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.079 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.079 * [taylor]: Taking taylor expansion of (log n) in n 8.079 * [taylor]: Taking taylor expansion of n in n 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify 1 into 1 8.079 * [backup-simplify]: Simplify (log 1) into 0 8.079 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 8.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 8.079 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 8.079 * [taylor]: Taking taylor expansion of 0.5 in n 8.079 * [backup-simplify]: Simplify 0.5 into 0.5 8.079 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 8.079 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 8.079 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.080 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.080 * [taylor]: Taking taylor expansion of 1.0 in n 8.080 * [backup-simplify]: Simplify 1.0 into 1.0 8.080 * [taylor]: Taking taylor expansion of (log PI) in n 8.080 * [taylor]: Taking taylor expansion of PI in n 8.080 * [backup-simplify]: Simplify PI into PI 8.080 * [backup-simplify]: Simplify (log PI) into (log PI) 8.081 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.083 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.083 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 8.083 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.083 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.083 * [taylor]: Taking taylor expansion of 1.0 in n 8.083 * [backup-simplify]: Simplify 1.0 into 1.0 8.083 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.083 * [taylor]: Taking taylor expansion of 2.0 in n 8.083 * [backup-simplify]: Simplify 2.0 into 2.0 8.084 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.084 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.086 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.086 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.086 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.086 * [taylor]: Taking taylor expansion of 1.0 in n 8.086 * [backup-simplify]: Simplify 1.0 into 1.0 8.086 * [taylor]: Taking taylor expansion of (log n) in n 8.086 * [taylor]: Taking taylor expansion of n in n 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify 1 into 1 8.087 * [backup-simplify]: Simplify (log 1) into 0 8.087 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.087 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.087 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.088 * [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) 8.089 * [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) 8.091 * [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)) 8.092 * [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))) 8.094 * [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) 8.094 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 8.094 * [taylor]: Taking taylor expansion of 0.125 in n 8.094 * [backup-simplify]: Simplify 0.125 into 0.125 8.094 * [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 8.094 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 8.094 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.094 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.094 * [taylor]: Taking taylor expansion of 2.0 in n 8.094 * [backup-simplify]: Simplify 2.0 into 2.0 8.094 * [taylor]: Taking taylor expansion of PI in n 8.094 * [backup-simplify]: Simplify PI into PI 8.095 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.096 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.096 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 8.096 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 8.096 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 8.096 * [taylor]: Taking taylor expansion of 0.5 in n 8.096 * [backup-simplify]: Simplify 0.5 into 0.5 8.096 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 8.096 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 8.096 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 8.096 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 8.096 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 8.096 * [taylor]: Taking taylor expansion of 1.0 in n 8.096 * [backup-simplify]: Simplify 1.0 into 1.0 8.096 * [taylor]: Taking taylor expansion of (log PI) in n 8.096 * [taylor]: Taking taylor expansion of PI in n 8.096 * [backup-simplify]: Simplify PI into PI 8.097 * [backup-simplify]: Simplify (log PI) into (log PI) 8.098 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 8.099 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 8.099 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 8.099 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 8.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 8.099 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 8.099 * [taylor]: Taking taylor expansion of 1.0 in n 8.100 * [backup-simplify]: Simplify 1.0 into 1.0 8.100 * [taylor]: Taking taylor expansion of (log n) in n 8.100 * [taylor]: Taking taylor expansion of n in n 8.100 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify 1 into 1 8.100 * [backup-simplify]: Simplify (log 1) into 0 8.100 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.101 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.101 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 8.101 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 8.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 8.101 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 8.101 * [taylor]: Taking taylor expansion of 1.0 in n 8.101 * [backup-simplify]: Simplify 1.0 into 1.0 8.101 * [taylor]: Taking taylor expansion of (log 2.0) in n 8.101 * [taylor]: Taking taylor expansion of 2.0 in n 8.101 * [backup-simplify]: Simplify 2.0 into 2.0 8.101 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.103 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 8.104 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 8.105 * [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) 8.106 * [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) 8.106 * [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)) 8.107 * [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))) 8.108 * [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) 8.109 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.109 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.109 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 8.110 * [backup-simplify]: Simplify (* (pow (log n) 2) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) 8.111 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 8.111 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.112 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 8.114 * [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)) 8.115 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 8.117 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 8.119 * [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)) 8.121 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 8.124 * [backup-simplify]: Simplify (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 8.129 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 8.134 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 8.148 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 8.149 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) 8.149 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 8.149 * [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 8.149 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.149 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.149 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.149 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.149 * [taylor]: Taking taylor expansion of 0.5 in n 8.149 * [backup-simplify]: Simplify 0.5 into 0.5 8.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.150 * [taylor]: Taking taylor expansion of 1.0 in n 8.150 * [backup-simplify]: Simplify 1.0 into 1.0 8.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.150 * [taylor]: Taking taylor expansion of k in n 8.150 * [backup-simplify]: Simplify k into k 8.150 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.150 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.150 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.150 * [taylor]: Taking taylor expansion of n in n 8.150 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify 1 into 1 8.150 * [backup-simplify]: Simplify (/ 1 1) into 1 8.151 * [backup-simplify]: Simplify (log 1) into 0 8.151 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.151 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.151 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.152 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.152 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 8.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 8.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.152 * [taylor]: Taking taylor expansion of 0.5 in n 8.152 * [backup-simplify]: Simplify 0.5 into 0.5 8.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.152 * [taylor]: Taking taylor expansion of 1.0 in n 8.152 * [backup-simplify]: Simplify 1.0 into 1.0 8.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.152 * [taylor]: Taking taylor expansion of k in n 8.152 * [backup-simplify]: Simplify k into k 8.153 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.153 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.153 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.153 * [taylor]: Taking taylor expansion of 2.0 in n 8.153 * [backup-simplify]: Simplify 2.0 into 2.0 8.153 * [taylor]: Taking taylor expansion of PI in n 8.153 * [backup-simplify]: Simplify PI into PI 8.153 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.154 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.154 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.155 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.155 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.156 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 8.157 * [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))))) 8.157 * [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 8.157 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.157 * [taylor]: Taking taylor expansion of 0.5 in k 8.157 * [backup-simplify]: Simplify 0.5 into 0.5 8.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.158 * [taylor]: Taking taylor expansion of 1.0 in k 8.158 * [backup-simplify]: Simplify 1.0 into 1.0 8.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.158 * [taylor]: Taking taylor expansion of k in k 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (/ 1 1) into 1 8.158 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.158 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.158 * [taylor]: Taking taylor expansion of n in k 8.158 * [backup-simplify]: Simplify n into n 8.158 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.158 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.159 * [backup-simplify]: Simplify (- 1) into -1 8.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.160 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.160 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.160 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.160 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.160 * [taylor]: Taking taylor expansion of 0.5 in k 8.160 * [backup-simplify]: Simplify 0.5 into 0.5 8.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.160 * [taylor]: Taking taylor expansion of 1.0 in k 8.160 * [backup-simplify]: Simplify 1.0 into 1.0 8.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.160 * [taylor]: Taking taylor expansion of k in k 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.161 * [backup-simplify]: Simplify (/ 1 1) into 1 8.161 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.161 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.161 * [taylor]: Taking taylor expansion of 2.0 in k 8.161 * [backup-simplify]: Simplify 2.0 into 2.0 8.161 * [taylor]: Taking taylor expansion of PI in k 8.161 * [backup-simplify]: Simplify PI into PI 8.162 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.163 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.164 * [backup-simplify]: Simplify (- 1) into -1 8.164 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.164 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.166 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.168 * [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))))) 8.168 * [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 8.168 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.168 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.168 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.168 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.168 * [taylor]: Taking taylor expansion of 0.5 in k 8.168 * [backup-simplify]: Simplify 0.5 into 0.5 8.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.168 * [taylor]: Taking taylor expansion of 1.0 in k 8.168 * [backup-simplify]: Simplify 1.0 into 1.0 8.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.168 * [taylor]: Taking taylor expansion of k in k 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [backup-simplify]: Simplify (/ 1 1) into 1 8.169 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.169 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.169 * [taylor]: Taking taylor expansion of n in k 8.169 * [backup-simplify]: Simplify n into n 8.169 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.169 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.169 * [backup-simplify]: Simplify (- 1) into -1 8.170 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.170 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.170 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.170 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.170 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.171 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.171 * [taylor]: Taking taylor expansion of 0.5 in k 8.171 * [backup-simplify]: Simplify 0.5 into 0.5 8.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.171 * [taylor]: Taking taylor expansion of 1.0 in k 8.171 * [backup-simplify]: Simplify 1.0 into 1.0 8.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.171 * [taylor]: Taking taylor expansion of k in k 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 1 into 1 8.171 * [backup-simplify]: Simplify (/ 1 1) into 1 8.171 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.171 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.171 * [taylor]: Taking taylor expansion of 2.0 in k 8.171 * [backup-simplify]: Simplify 2.0 into 2.0 8.171 * [taylor]: Taking taylor expansion of PI in k 8.171 * [backup-simplify]: Simplify PI into PI 8.172 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.173 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.174 * [backup-simplify]: Simplify (- 1) into -1 8.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.175 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.177 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.178 * [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))))) 8.180 * [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)))))) 8.180 * [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 8.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 8.180 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 8.180 * [taylor]: Taking taylor expansion of 0.5 in n 8.180 * [backup-simplify]: Simplify 0.5 into 0.5 8.180 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 8.180 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.180 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.180 * [taylor]: Taking taylor expansion of n in n 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (/ 1 1) into 1 8.181 * [backup-simplify]: Simplify (log 1) into 0 8.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.181 * [taylor]: Taking taylor expansion of 1.0 in n 8.181 * [backup-simplify]: Simplify 1.0 into 1.0 8.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.181 * [taylor]: Taking taylor expansion of k in n 8.181 * [backup-simplify]: Simplify k into k 8.181 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.182 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.182 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.182 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 8.183 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.183 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 8.183 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 8.183 * [taylor]: Taking taylor expansion of 0.5 in n 8.183 * [backup-simplify]: Simplify 0.5 into 0.5 8.183 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 8.183 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.183 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.183 * [taylor]: Taking taylor expansion of 2.0 in n 8.183 * [backup-simplify]: Simplify 2.0 into 2.0 8.183 * [taylor]: Taking taylor expansion of PI in n 8.183 * [backup-simplify]: Simplify PI into PI 8.184 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.185 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.185 * [taylor]: Taking taylor expansion of 1.0 in n 8.185 * [backup-simplify]: Simplify 1.0 into 1.0 8.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.185 * [taylor]: Taking taylor expansion of k in n 8.185 * [backup-simplify]: Simplify k into k 8.185 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.185 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.185 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.187 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 8.188 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 8.189 * [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))))) 8.191 * [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)))))) 8.192 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k)))))) 8.194 * [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 8.194 * [taylor]: Taking taylor expansion of 0 in n 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.195 * [backup-simplify]: Simplify (+ 0 0) into 0 8.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.206 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 8.210 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.211 * [backup-simplify]: Simplify (- 0) into 0 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.214 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 8.215 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.217 * [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 8.217 * [backup-simplify]: Simplify 0 into 0 8.219 * [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 8.219 * [taylor]: Taking taylor expansion of 0 in n 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.219 * [backup-simplify]: Simplify (- 0) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.226 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.231 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.232 * [backup-simplify]: Simplify (- 0) into 0 8.232 * [backup-simplify]: Simplify (+ 0 0) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.236 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 8.239 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.241 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 8.241 * [backup-simplify]: Simplify 0 into 0 8.244 * [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 8.244 * [taylor]: Taking taylor expansion of 0 in n 8.244 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 8.247 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) 8.247 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 8.247 * [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 8.247 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.247 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.247 * [taylor]: Taking taylor expansion of 0.5 in n 8.247 * [backup-simplify]: Simplify 0.5 into 0.5 8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.247 * [taylor]: Taking taylor expansion of k in n 8.247 * [backup-simplify]: Simplify k into k 8.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.247 * [taylor]: Taking taylor expansion of 1.0 in n 8.247 * [backup-simplify]: Simplify 1.0 into 1.0 8.247 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.248 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.248 * [taylor]: Taking taylor expansion of -1 in n 8.248 * [backup-simplify]: Simplify -1 into -1 8.248 * [taylor]: Taking taylor expansion of n in n 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 8.249 * [backup-simplify]: Simplify (log -1) into (log -1) 8.249 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.249 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.250 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.251 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 8.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 8.251 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.251 * [taylor]: Taking taylor expansion of 0.5 in n 8.251 * [backup-simplify]: Simplify 0.5 into 0.5 8.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.251 * [taylor]: Taking taylor expansion of k in n 8.251 * [backup-simplify]: Simplify k into k 8.251 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.251 * [taylor]: Taking taylor expansion of 1.0 in n 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.251 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.251 * [taylor]: Taking taylor expansion of 2.0 in n 8.251 * [backup-simplify]: Simplify 2.0 into 2.0 8.251 * [taylor]: Taking taylor expansion of PI in n 8.251 * [backup-simplify]: Simplify PI into PI 8.252 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.253 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.253 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.253 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.254 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 8.256 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.256 * [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 8.256 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.256 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.256 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.256 * [taylor]: Taking taylor expansion of 0.5 in k 8.256 * [backup-simplify]: Simplify 0.5 into 0.5 8.256 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.256 * [taylor]: Taking taylor expansion of k in k 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (/ 1 1) into 1 8.256 * [taylor]: Taking taylor expansion of 1.0 in k 8.256 * [backup-simplify]: Simplify 1.0 into 1.0 8.257 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.257 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.257 * [taylor]: Taking taylor expansion of -1 in k 8.257 * [backup-simplify]: Simplify -1 into -1 8.257 * [taylor]: Taking taylor expansion of n in k 8.257 * [backup-simplify]: Simplify n into n 8.257 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.257 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.257 * [backup-simplify]: Simplify (+ 1 0) into 1 8.258 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.258 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.258 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.258 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.258 * [taylor]: Taking taylor expansion of 0.5 in k 8.258 * [backup-simplify]: Simplify 0.5 into 0.5 8.258 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.258 * [taylor]: Taking taylor expansion of (/ 1 k) in k 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 8.259 * [backup-simplify]: Simplify (/ 1 1) into 1 8.259 * [taylor]: Taking taylor expansion of 1.0 in k 8.259 * [backup-simplify]: Simplify 1.0 into 1.0 8.259 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.259 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.259 * [taylor]: Taking taylor expansion of 2.0 in k 8.259 * [backup-simplify]: Simplify 2.0 into 2.0 8.259 * [taylor]: Taking taylor expansion of PI in k 8.259 * [backup-simplify]: Simplify PI into PI 8.260 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.261 * [backup-simplify]: Simplify (+ 1 0) into 1 8.262 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.264 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.265 * [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)))) 8.265 * [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 8.265 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.265 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.265 * [taylor]: Taking taylor expansion of 0.5 in k 8.265 * [backup-simplify]: Simplify 0.5 into 0.5 8.265 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.265 * [taylor]: Taking taylor expansion of k in k 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.266 * [backup-simplify]: Simplify (/ 1 1) into 1 8.266 * [taylor]: Taking taylor expansion of 1.0 in k 8.266 * [backup-simplify]: Simplify 1.0 into 1.0 8.266 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.266 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.266 * [taylor]: Taking taylor expansion of -1 in k 8.266 * [backup-simplify]: Simplify -1 into -1 8.266 * [taylor]: Taking taylor expansion of n in k 8.266 * [backup-simplify]: Simplify n into n 8.266 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.266 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.267 * [backup-simplify]: Simplify (+ 1 0) into 1 8.267 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.267 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.267 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.268 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.268 * [taylor]: Taking taylor expansion of 0.5 in k 8.268 * [backup-simplify]: Simplify 0.5 into 0.5 8.268 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.268 * [taylor]: Taking taylor expansion of k in k 8.268 * [backup-simplify]: Simplify 0 into 0 8.268 * [backup-simplify]: Simplify 1 into 1 8.268 * [backup-simplify]: Simplify (/ 1 1) into 1 8.268 * [taylor]: Taking taylor expansion of 1.0 in k 8.268 * [backup-simplify]: Simplify 1.0 into 1.0 8.268 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.268 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.268 * [taylor]: Taking taylor expansion of 2.0 in k 8.268 * [backup-simplify]: Simplify 2.0 into 2.0 8.268 * [taylor]: Taking taylor expansion of PI in k 8.268 * [backup-simplify]: Simplify PI into PI 8.269 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.270 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.270 * [backup-simplify]: Simplify (+ 1 0) into 1 8.271 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.273 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.274 * [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)))) 8.275 * [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))))) 8.275 * [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 8.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 8.275 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 8.275 * [taylor]: Taking taylor expansion of 0.5 in n 8.276 * [backup-simplify]: Simplify 0.5 into 0.5 8.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 8.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.276 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.276 * [taylor]: Taking taylor expansion of k in n 8.276 * [backup-simplify]: Simplify k into k 8.276 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.276 * [taylor]: Taking taylor expansion of 1.0 in n 8.276 * [backup-simplify]: Simplify 1.0 into 1.0 8.276 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.276 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.276 * [taylor]: Taking taylor expansion of -1 in n 8.276 * [backup-simplify]: Simplify -1 into -1 8.276 * [taylor]: Taking taylor expansion of n in n 8.276 * [backup-simplify]: Simplify 0 into 0 8.276 * [backup-simplify]: Simplify 1 into 1 8.276 * [backup-simplify]: Simplify (/ -1 1) into -1 8.277 * [backup-simplify]: Simplify (log -1) into (log -1) 8.277 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.278 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.278 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 8.279 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.280 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 8.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 8.280 * [taylor]: Taking taylor expansion of 0.5 in n 8.280 * [backup-simplify]: Simplify 0.5 into 0.5 8.280 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 8.280 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 8.280 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 8.280 * [taylor]: Taking taylor expansion of 2.0 in n 8.280 * [backup-simplify]: Simplify 2.0 into 2.0 8.280 * [taylor]: Taking taylor expansion of PI in n 8.280 * [backup-simplify]: Simplify PI into PI 8.280 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.281 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.282 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.282 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.282 * [taylor]: Taking taylor expansion of k in n 8.282 * [backup-simplify]: Simplify k into k 8.282 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.282 * [taylor]: Taking taylor expansion of 1.0 in n 8.282 * [backup-simplify]: Simplify 1.0 into 1.0 8.282 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.283 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 8.284 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 8.286 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.287 * [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))))) 8.289 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.291 * [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 8.291 * [taylor]: Taking taylor expansion of 0 in n 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.291 * [backup-simplify]: Simplify (+ 0 0) into 0 8.292 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.295 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 8.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.301 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.303 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 8.305 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.307 * [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 8.307 * [backup-simplify]: Simplify 0 into 0 8.309 * [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 8.309 * [taylor]: Taking taylor expansion of 0 in n 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.310 * [backup-simplify]: Simplify (+ 0 0) into 0 8.311 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.316 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 8.320 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.325 * [backup-simplify]: Simplify (+ 0 0) into 0 8.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.326 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 8.330 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.332 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 8.332 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 8.334 * [taylor]: Taking taylor expansion of 0 in n 8.334 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 8.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 8.336 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.336 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.336 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.336 * [taylor]: Taking taylor expansion of 1.0 in k 8.336 * [backup-simplify]: Simplify 1.0 into 1.0 8.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.337 * [taylor]: Taking taylor expansion of k in k 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (/ 1 1) into 1 8.337 * [backup-simplify]: Simplify (sqrt 0) into 0 8.339 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.339 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.339 * [taylor]: Taking taylor expansion of 1.0 in k 8.339 * [backup-simplify]: Simplify 1.0 into 1.0 8.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.339 * [taylor]: Taking taylor expansion of k in k 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.340 * [backup-simplify]: Simplify (sqrt 0) into 0 8.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.342 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.344 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.348 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.348 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.352 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.352 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.359 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.359 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.360 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.360 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.360 * [taylor]: Taking taylor expansion of 1.0 in k 8.360 * [backup-simplify]: Simplify 1.0 into 1.0 8.360 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.360 * [taylor]: Taking taylor expansion of k in k 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify 1 into 1 8.360 * [backup-simplify]: Simplify (sqrt 0) into 0 8.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.361 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.361 * [taylor]: Taking taylor expansion of 1.0 in k 8.361 * [backup-simplify]: Simplify 1.0 into 1.0 8.361 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.361 * [taylor]: Taking taylor expansion of k in k 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [backup-simplify]: Simplify (sqrt 0) into 0 8.362 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.362 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.362 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.366 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.367 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.367 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.371 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.373 * [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)))))))) 8.373 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.373 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.373 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.373 * [taylor]: Taking taylor expansion of 1.0 in k 8.373 * [backup-simplify]: Simplify 1.0 into 1.0 8.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.373 * [taylor]: Taking taylor expansion of -1 in k 8.373 * [backup-simplify]: Simplify -1 into -1 8.373 * [taylor]: Taking taylor expansion of k in k 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 1 into 1 8.373 * [backup-simplify]: Simplify (/ -1 1) into -1 8.374 * [backup-simplify]: Simplify (sqrt 0) into 0 8.375 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.376 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.376 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.376 * [taylor]: Taking taylor expansion of 1.0 in k 8.376 * [backup-simplify]: Simplify 1.0 into 1.0 8.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.376 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.376 * [taylor]: Taking taylor expansion of -1 in k 8.376 * [backup-simplify]: Simplify -1 into -1 8.376 * [taylor]: Taking taylor expansion of k in k 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (/ -1 1) into -1 8.377 * [backup-simplify]: Simplify (sqrt 0) into 0 8.378 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.378 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.386 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.391 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.395 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.395 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.397 * [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))))) 8.397 * * * [progress]: simplifying candidates 8.401 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (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))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 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))))) 8.409 * * [simplify]: Extracting # 0 : cost 0 8.409 * * [simplify]: Extracting # 1 : cost 0 8.410 * * [simplify]: Extracting # 2 : cost 0 8.411 * * [simplify]: Extracting # 3 : cost 0 8.411 * * [simplify]: Extracting # 4 : cost 0 8.412 * * [simplify]: Extracting # 5 : cost 0 8.413 * * [simplify]: Extracting # 6 : cost 0 8.414 * * [simplify]: Extracting # 7 : cost 0 8.415 * * [simplify]: Extracting # 8 : cost 0 8.415 * * [simplify]: Extracting # 9 : cost 0 8.416 * * [simplify]: Extracting # 10 : cost 0 8.417 * * [simplify]: Extracting # 11 : cost 0 8.417 * * [simplify]: Extracting # 12 : cost 0 8.418 * * [simplify]: Extracting # 13 : cost 0 8.418 * * [simplify]: Extracting # 14 : cost 0 8.419 * * [simplify]: Extracting # 15 : cost 0 8.419 * * [simplify]: Extracting # 16 : cost 0 8.419 * * [simplify]: Extracting # 17 : cost 0 8.420 * * [simplify]: Extracting # 18 : cost 0 8.420 * * [simplify]: Extracting # 19 : cost 0 8.421 * * [simplify]: iteration 0 : 316 enodes (cost 2486 ) 8.566 * * [simplify]: Extracting # 0 : cost 0 8.568 * * [simplify]: Extracting # 1 : cost 0 8.570 * * [simplify]: Extracting # 2 : cost 0 8.572 * * [simplify]: Extracting # 3 : cost 0 8.574 * * [simplify]: Extracting # 4 : cost 0 8.576 * * [simplify]: Extracting # 5 : cost 0 8.578 * * [simplify]: iteration 1 : 752 enodes (cost 2260 ) 8.983 * * [simplify]: Extracting # 0 : cost 0 8.985 * * [simplify]: Extracting # 1 : cost 0 8.988 * * [simplify]: Extracting # 2 : cost 0 8.991 * * [simplify]: Extracting # 3 : cost 0 8.994 * * [simplify]: Extracting # 4 : cost 0 8.997 * * [simplify]: iteration 2 : 2229 enodes (cost 2160 ) 9.918 * * [simplify]: Extracting # 0 : cost 0 9.924 * * [simplify]: Extracting # 1 : cost 0 9.938 * * [simplify]: Extracting # 2 : cost 0 9.947 * * [simplify]: Extracting # 3 : cost 0 9.954 * * [simplify]: Extracting # 4 : cost 0 9.966 * * [simplify]: Extracting # 5 : cost 0 9.977 * * [simplify]: iteration done: 5000 enodes (cost 2107 ) 9.979 * [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)) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 PI))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 PI))) 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)) (/ (* (- 1.0 k) (log (* 2.0 PI))) 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)) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (pow 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 2.0 1.0) (pow PI 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* 0.125 (* (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))))) (* (* (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (log (* 2.0 PI)) (log n))) 0.5)) (exp (* (- 1.0 k) (+ (* -0.5 (- (log n))) (* 0.5 (log (* 2.0 PI)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (+ 0 (log n)) (log (* 2.0 PI)))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +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)) 9.981 * * * [progress]: adding candidates to table 10.690 * * [progress]: iteration 3 / 4 10.690 * * * [progress]: picking best candidate 10.731 * * * * [pick]: Picked # 10.731 * * * [progress]: localizing error 10.771 * * * [progress]: generating rewritten candidates 10.771 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 10.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.786 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.089 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.247 * * * [progress]: generating series expansions 11.247 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 11.247 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.247 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.247 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.247 * [taylor]: Taking taylor expansion of 0.5 in k 11.247 * [backup-simplify]: Simplify 0.5 into 0.5 11.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.247 * [taylor]: Taking taylor expansion of 1.0 in k 11.247 * [backup-simplify]: Simplify 1.0 into 1.0 11.247 * [taylor]: Taking taylor expansion of k in k 11.247 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify 1 into 1 11.247 * [taylor]: Taking taylor expansion of (log n) in k 11.247 * [taylor]: Taking taylor expansion of n in k 11.247 * [backup-simplify]: Simplify n into n 11.247 * [backup-simplify]: Simplify (log n) into (log n) 11.248 * [backup-simplify]: Simplify (- 0) into 0 11.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.248 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.248 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.248 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.249 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.249 * [taylor]: Taking taylor expansion of 0.5 in n 11.249 * [backup-simplify]: Simplify 0.5 into 0.5 11.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.249 * [taylor]: Taking taylor expansion of 1.0 in n 11.249 * [backup-simplify]: Simplify 1.0 into 1.0 11.249 * [taylor]: Taking taylor expansion of k in n 11.249 * [backup-simplify]: Simplify k into k 11.249 * [taylor]: Taking taylor expansion of (log n) in n 11.249 * [taylor]: Taking taylor expansion of n in n 11.249 * [backup-simplify]: Simplify 0 into 0 11.249 * [backup-simplify]: Simplify 1 into 1 11.249 * [backup-simplify]: Simplify (log 1) into 0 11.249 * [backup-simplify]: Simplify (- k) into (- k) 11.249 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.249 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.250 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.250 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.250 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.250 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.250 * [taylor]: Taking taylor expansion of 0.5 in n 11.250 * [backup-simplify]: Simplify 0.5 into 0.5 11.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.250 * [taylor]: Taking taylor expansion of 1.0 in n 11.250 * [backup-simplify]: Simplify 1.0 into 1.0 11.250 * [taylor]: Taking taylor expansion of k in n 11.250 * [backup-simplify]: Simplify k into k 11.250 * [taylor]: Taking taylor expansion of (log n) in n 11.250 * [taylor]: Taking taylor expansion of n in n 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify 1 into 1 11.250 * [backup-simplify]: Simplify (log 1) into 0 11.250 * [backup-simplify]: Simplify (- k) into (- k) 11.250 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.250 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.251 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.251 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.251 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.251 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.251 * [taylor]: Taking taylor expansion of 0.5 in k 11.251 * [backup-simplify]: Simplify 0.5 into 0.5 11.251 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.251 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.251 * [taylor]: Taking taylor expansion of 1.0 in k 11.251 * [backup-simplify]: Simplify 1.0 into 1.0 11.251 * [taylor]: Taking taylor expansion of k in k 11.251 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [taylor]: Taking taylor expansion of (log n) in k 11.251 * [taylor]: Taking taylor expansion of n in k 11.251 * [backup-simplify]: Simplify n into n 11.251 * [backup-simplify]: Simplify (log n) into (log n) 11.251 * [backup-simplify]: Simplify (- 0) into 0 11.252 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.252 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.252 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.252 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.252 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.253 * [backup-simplify]: Simplify (- 0) into 0 11.254 * [backup-simplify]: Simplify (+ 0 0) into 0 11.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.254 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.254 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.255 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.255 * [taylor]: Taking taylor expansion of 0 in k 11.255 * [backup-simplify]: Simplify 0 into 0 11.255 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.256 * [backup-simplify]: Simplify (- 1) into -1 11.256 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.256 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.257 * [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))) 11.257 * [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))) 11.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.259 * [backup-simplify]: Simplify (- 0) into 0 11.259 * [backup-simplify]: Simplify (+ 0 0) into 0 11.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.260 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.260 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.261 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.261 * [taylor]: Taking taylor expansion of 0 in k 11.261 * [backup-simplify]: Simplify 0 into 0 11.261 * [backup-simplify]: Simplify 0 into 0 11.261 * [backup-simplify]: Simplify 0 into 0 11.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.262 * [backup-simplify]: Simplify (- 0) into 0 11.262 * [backup-simplify]: Simplify (+ 0 0) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.264 * [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))) 11.264 * [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))) 11.265 * [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)))) 11.265 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.265 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.265 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.265 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.265 * [taylor]: Taking taylor expansion of 0.5 in k 11.265 * [backup-simplify]: Simplify 0.5 into 0.5 11.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.265 * [taylor]: Taking taylor expansion of 1.0 in k 11.265 * [backup-simplify]: Simplify 1.0 into 1.0 11.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.265 * [taylor]: Taking taylor expansion of k in k 11.265 * [backup-simplify]: Simplify 0 into 0 11.265 * [backup-simplify]: Simplify 1 into 1 11.266 * [backup-simplify]: Simplify (/ 1 1) into 1 11.266 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.266 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.266 * [taylor]: Taking taylor expansion of n in k 11.266 * [backup-simplify]: Simplify n into n 11.266 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.266 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.266 * [backup-simplify]: Simplify (- 1) into -1 11.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.267 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.267 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.267 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.267 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.267 * [taylor]: Taking taylor expansion of 0.5 in n 11.267 * [backup-simplify]: Simplify 0.5 into 0.5 11.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.267 * [taylor]: Taking taylor expansion of 1.0 in n 11.267 * [backup-simplify]: Simplify 1.0 into 1.0 11.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.267 * [taylor]: Taking taylor expansion of k in n 11.267 * [backup-simplify]: Simplify k into k 11.267 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.267 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.267 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.267 * [taylor]: Taking taylor expansion of n in n 11.267 * [backup-simplify]: Simplify 0 into 0 11.267 * [backup-simplify]: Simplify 1 into 1 11.267 * [backup-simplify]: Simplify (/ 1 1) into 1 11.268 * [backup-simplify]: Simplify (log 1) into 0 11.268 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.268 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.268 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.268 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.268 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.268 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.268 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.268 * [taylor]: Taking taylor expansion of 0.5 in n 11.268 * [backup-simplify]: Simplify 0.5 into 0.5 11.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.268 * [taylor]: Taking taylor expansion of 1.0 in n 11.269 * [backup-simplify]: Simplify 1.0 into 1.0 11.269 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.269 * [taylor]: Taking taylor expansion of k in n 11.269 * [backup-simplify]: Simplify k into k 11.269 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.269 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.269 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.269 * [taylor]: Taking taylor expansion of n in n 11.269 * [backup-simplify]: Simplify 0 into 0 11.269 * [backup-simplify]: Simplify 1 into 1 11.269 * [backup-simplify]: Simplify (/ 1 1) into 1 11.269 * [backup-simplify]: Simplify (log 1) into 0 11.269 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.269 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.269 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.270 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.270 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.270 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.270 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.270 * [taylor]: Taking taylor expansion of -0.5 in k 11.270 * [backup-simplify]: Simplify -0.5 into -0.5 11.270 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.270 * [taylor]: Taking taylor expansion of (log n) in k 11.270 * [taylor]: Taking taylor expansion of n in k 11.270 * [backup-simplify]: Simplify n into n 11.270 * [backup-simplify]: Simplify (log n) into (log n) 11.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.270 * [taylor]: Taking taylor expansion of 1.0 in k 11.270 * [backup-simplify]: Simplify 1.0 into 1.0 11.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.270 * [taylor]: Taking taylor expansion of k in k 11.270 * [backup-simplify]: Simplify 0 into 0 11.270 * [backup-simplify]: Simplify 1 into 1 11.271 * [backup-simplify]: Simplify (/ 1 1) into 1 11.271 * [backup-simplify]: Simplify (- 1) into -1 11.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.271 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.271 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.271 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.271 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.274 * [backup-simplify]: Simplify (- 0) into 0 11.274 * [backup-simplify]: Simplify (+ 0 0) into 0 11.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.275 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.275 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.276 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.276 * [taylor]: Taking taylor expansion of 0 in k 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 0 into 0 11.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.280 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.281 * [backup-simplify]: Simplify (- 0) into 0 11.282 * [backup-simplify]: Simplify (+ 0 0) into 0 11.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.283 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.284 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.285 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.285 * [taylor]: Taking taylor expansion of 0 in k 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.285 * [backup-simplify]: Simplify 0 into 0 11.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.292 * [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 11.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.293 * [backup-simplify]: Simplify (- 0) into 0 11.293 * [backup-simplify]: Simplify (+ 0 0) into 0 11.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.296 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.297 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.297 * [taylor]: Taking taylor expansion of 0 in k 11.298 * [backup-simplify]: Simplify 0 into 0 11.298 * [backup-simplify]: Simplify 0 into 0 11.298 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.298 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.298 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.298 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.298 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.298 * [taylor]: Taking taylor expansion of 0.5 in k 11.298 * [backup-simplify]: Simplify 0.5 into 0.5 11.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.299 * [taylor]: Taking taylor expansion of k in k 11.299 * [backup-simplify]: Simplify 0 into 0 11.299 * [backup-simplify]: Simplify 1 into 1 11.299 * [backup-simplify]: Simplify (/ 1 1) into 1 11.299 * [taylor]: Taking taylor expansion of 1.0 in k 11.299 * [backup-simplify]: Simplify 1.0 into 1.0 11.299 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.299 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.299 * [taylor]: Taking taylor expansion of -1 in k 11.299 * [backup-simplify]: Simplify -1 into -1 11.299 * [taylor]: Taking taylor expansion of n in k 11.299 * [backup-simplify]: Simplify n into n 11.299 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.299 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.300 * [backup-simplify]: Simplify (+ 1 0) into 1 11.300 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.300 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.301 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.301 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.301 * [taylor]: Taking taylor expansion of 0.5 in n 11.301 * [backup-simplify]: Simplify 0.5 into 0.5 11.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.301 * [taylor]: Taking taylor expansion of k in n 11.301 * [backup-simplify]: Simplify k into k 11.301 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.301 * [taylor]: Taking taylor expansion of 1.0 in n 11.301 * [backup-simplify]: Simplify 1.0 into 1.0 11.301 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.301 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.301 * [taylor]: Taking taylor expansion of -1 in n 11.301 * [backup-simplify]: Simplify -1 into -1 11.301 * [taylor]: Taking taylor expansion of n in n 11.301 * [backup-simplify]: Simplify 0 into 0 11.301 * [backup-simplify]: Simplify 1 into 1 11.302 * [backup-simplify]: Simplify (/ -1 1) into -1 11.302 * [backup-simplify]: Simplify (log -1) into (log -1) 11.302 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.303 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.303 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.304 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.304 * [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)))) 11.305 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.305 * [taylor]: Taking taylor expansion of 0.5 in n 11.305 * [backup-simplify]: Simplify 0.5 into 0.5 11.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.305 * [taylor]: Taking taylor expansion of k in n 11.305 * [backup-simplify]: Simplify k into k 11.305 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.305 * [taylor]: Taking taylor expansion of 1.0 in n 11.305 * [backup-simplify]: Simplify 1.0 into 1.0 11.305 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.305 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.305 * [taylor]: Taking taylor expansion of -1 in n 11.305 * [backup-simplify]: Simplify -1 into -1 11.305 * [taylor]: Taking taylor expansion of n in n 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 1 into 1 11.305 * [backup-simplify]: Simplify (/ -1 1) into -1 11.306 * [backup-simplify]: Simplify (log -1) into (log -1) 11.306 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.306 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.307 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.308 * [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)))) 11.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.308 * [taylor]: Taking taylor expansion of 0.5 in k 11.308 * [backup-simplify]: Simplify 0.5 into 0.5 11.308 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.308 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.308 * [taylor]: Taking taylor expansion of (log -1) in k 11.308 * [taylor]: Taking taylor expansion of -1 in k 11.308 * [backup-simplify]: Simplify -1 into -1 11.309 * [backup-simplify]: Simplify (log -1) into (log -1) 11.309 * [taylor]: Taking taylor expansion of (log n) in k 11.309 * [taylor]: Taking taylor expansion of n in k 11.309 * [backup-simplify]: Simplify n into n 11.309 * [backup-simplify]: Simplify (log n) into (log n) 11.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.309 * [taylor]: Taking taylor expansion of k in k 11.309 * [backup-simplify]: Simplify 0 into 0 11.309 * [backup-simplify]: Simplify 1 into 1 11.309 * [backup-simplify]: Simplify (/ 1 1) into 1 11.309 * [taylor]: Taking taylor expansion of 1.0 in k 11.309 * [backup-simplify]: Simplify 1.0 into 1.0 11.310 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.310 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.310 * [backup-simplify]: Simplify (+ 1 0) into 1 11.311 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.320 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.321 * [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)))) 11.322 * [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)))) 11.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.325 * [backup-simplify]: Simplify (+ 0 0) into 0 11.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.326 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.327 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.328 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.328 * [taylor]: Taking taylor expansion of 0 in k 11.328 * [backup-simplify]: Simplify 0 into 0 11.328 * [backup-simplify]: Simplify 0 into 0 11.328 * [backup-simplify]: Simplify 0 into 0 11.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.332 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.332 * [backup-simplify]: Simplify (+ 0 0) into 0 11.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.335 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.337 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.337 * [taylor]: Taking taylor expansion of 0 in k 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.337 * [backup-simplify]: Simplify 0 into 0 11.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.343 * [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 11.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.344 * [backup-simplify]: Simplify (+ 0 0) into 0 11.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.347 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.349 * [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 11.350 * [taylor]: Taking taylor expansion of 0 in k 11.350 * [backup-simplify]: Simplify 0 into 0 11.350 * [backup-simplify]: Simplify 0 into 0 11.350 * [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)))))) 11.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.351 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.351 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.351 * [taylor]: Taking taylor expansion of 1.0 in k 11.351 * [backup-simplify]: Simplify 1.0 into 1.0 11.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.351 * [taylor]: Taking taylor expansion of k in k 11.351 * [backup-simplify]: Simplify 0 into 0 11.351 * [backup-simplify]: Simplify 1 into 1 11.351 * [backup-simplify]: Simplify (/ 1 1) into 1 11.352 * [backup-simplify]: Simplify (sqrt 0) into 0 11.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.353 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.353 * [taylor]: Taking taylor expansion of 1.0 in k 11.353 * [backup-simplify]: Simplify 1.0 into 1.0 11.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.353 * [taylor]: Taking taylor expansion of k in k 11.353 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify 1 into 1 11.354 * [backup-simplify]: Simplify (/ 1 1) into 1 11.354 * [backup-simplify]: Simplify (sqrt 0) into 0 11.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.356 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.356 * [backup-simplify]: Simplify 0 into 0 11.357 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.362 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.363 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.364 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.370 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.370 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.371 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 11.371 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.371 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.371 * [taylor]: Taking taylor expansion of 1.0 in k 11.371 * [backup-simplify]: Simplify 1.0 into 1.0 11.371 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.371 * [taylor]: Taking taylor expansion of k in k 11.371 * [backup-simplify]: Simplify 0 into 0 11.371 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (sqrt 0) into 0 11.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.372 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.372 * [taylor]: Taking taylor expansion of 1.0 in k 11.372 * [backup-simplify]: Simplify 1.0 into 1.0 11.372 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.372 * [taylor]: Taking taylor expansion of k in k 11.372 * [backup-simplify]: Simplify 0 into 0 11.372 * [backup-simplify]: Simplify 1 into 1 11.373 * [backup-simplify]: Simplify (sqrt 0) into 0 11.373 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.374 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.374 * [backup-simplify]: Simplify 0 into 0 11.374 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.375 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.378 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.378 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.381 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.382 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.383 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 11.383 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.383 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.383 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.383 * [taylor]: Taking taylor expansion of 1.0 in k 11.383 * [backup-simplify]: Simplify 1.0 into 1.0 11.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.383 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.383 * [taylor]: Taking taylor expansion of -1 in k 11.383 * [backup-simplify]: Simplify -1 into -1 11.383 * [taylor]: Taking taylor expansion of k in k 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 1 into 1 11.383 * [backup-simplify]: Simplify (/ -1 1) into -1 11.384 * [backup-simplify]: Simplify (sqrt 0) into 0 11.384 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.385 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.385 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.385 * [taylor]: Taking taylor expansion of 1.0 in k 11.385 * [backup-simplify]: Simplify 1.0 into 1.0 11.385 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.385 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.385 * [taylor]: Taking taylor expansion of -1 in k 11.385 * [backup-simplify]: Simplify -1 into -1 11.385 * [taylor]: Taking taylor expansion of k in k 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 1 into 1 11.385 * [backup-simplify]: Simplify (/ -1 1) into -1 11.385 * [backup-simplify]: Simplify (sqrt 0) into 0 11.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.387 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.389 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.390 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.391 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.396 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.396 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.397 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 11.397 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.398 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) 11.398 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in (k n) around 0 11.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in n 11.398 * [taylor]: Taking taylor expansion of 1.0 in n 11.398 * [backup-simplify]: Simplify 1.0 into 1.0 11.398 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in n 11.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 11.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.398 * [taylor]: Taking taylor expansion of k in n 11.398 * [backup-simplify]: Simplify k into k 11.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.398 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 11.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 11.398 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 11.398 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.399 * [taylor]: Taking taylor expansion of 0.5 in n 11.399 * [backup-simplify]: Simplify 0.5 into 0.5 11.399 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.399 * [taylor]: Taking taylor expansion of 1.0 in n 11.399 * [backup-simplify]: Simplify 1.0 into 1.0 11.399 * [taylor]: Taking taylor expansion of k in n 11.399 * [backup-simplify]: Simplify k into k 11.399 * [taylor]: Taking taylor expansion of (log n) in n 11.399 * [taylor]: Taking taylor expansion of n in n 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.399 * [backup-simplify]: Simplify (log 1) into 0 11.399 * [backup-simplify]: Simplify (- k) into (- k) 11.399 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.399 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.399 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.399 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.400 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.400 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 11.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 11.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 11.400 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 11.400 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 11.400 * [taylor]: Taking taylor expansion of 0.25 in n 11.400 * [backup-simplify]: Simplify 0.25 into 0.25 11.400 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.400 * [taylor]: Taking taylor expansion of 1.0 in n 11.400 * [backup-simplify]: Simplify 1.0 into 1.0 11.400 * [taylor]: Taking taylor expansion of k in n 11.400 * [backup-simplify]: Simplify k into k 11.400 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.400 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.400 * [taylor]: Taking taylor expansion of 2.0 in n 11.400 * [backup-simplify]: Simplify 2.0 into 2.0 11.400 * [taylor]: Taking taylor expansion of PI in n 11.400 * [backup-simplify]: Simplify PI into PI 11.400 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.401 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.401 * [backup-simplify]: Simplify (- k) into (- k) 11.401 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.401 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 11.402 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 11.402 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 11.402 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 11.402 * [taylor]: Taking taylor expansion of 1.0 in k 11.402 * [backup-simplify]: Simplify 1.0 into 1.0 11.402 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 11.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.403 * [taylor]: Taking taylor expansion of k in k 11.403 * [backup-simplify]: Simplify 0 into 0 11.403 * [backup-simplify]: Simplify 1 into 1 11.403 * [backup-simplify]: Simplify (/ 1 1) into 1 11.403 * [backup-simplify]: Simplify (sqrt 0) into 0 11.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.404 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 11.404 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.404 * [taylor]: Taking taylor expansion of 0.5 in k 11.404 * [backup-simplify]: Simplify 0.5 into 0.5 11.404 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.404 * [taylor]: Taking taylor expansion of 1.0 in k 11.404 * [backup-simplify]: Simplify 1.0 into 1.0 11.404 * [taylor]: Taking taylor expansion of k in k 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 1 into 1 11.404 * [taylor]: Taking taylor expansion of (log n) in k 11.404 * [taylor]: Taking taylor expansion of n in k 11.404 * [backup-simplify]: Simplify n into n 11.404 * [backup-simplify]: Simplify (log n) into (log n) 11.405 * [backup-simplify]: Simplify (- 0) into 0 11.405 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.405 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.405 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.405 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.405 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 11.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 11.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.405 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 11.405 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.405 * [taylor]: Taking taylor expansion of 0.25 in k 11.405 * [backup-simplify]: Simplify 0.25 into 0.25 11.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.405 * [taylor]: Taking taylor expansion of 1.0 in k 11.405 * [backup-simplify]: Simplify 1.0 into 1.0 11.405 * [taylor]: Taking taylor expansion of k in k 11.405 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify 1 into 1 11.406 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.406 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.406 * [taylor]: Taking taylor expansion of 2.0 in k 11.406 * [backup-simplify]: Simplify 2.0 into 2.0 11.406 * [taylor]: Taking taylor expansion of PI in k 11.406 * [backup-simplify]: Simplify PI into PI 11.406 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.407 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.407 * [backup-simplify]: Simplify (- 0) into 0 11.407 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.407 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.409 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 11.411 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 11.411 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) in k 11.411 * [taylor]: Taking taylor expansion of 1.0 in k 11.411 * [backup-simplify]: Simplify 1.0 into 1.0 11.411 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 11.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.411 * [taylor]: Taking taylor expansion of k in k 11.411 * [backup-simplify]: Simplify 0 into 0 11.411 * [backup-simplify]: Simplify 1 into 1 11.412 * [backup-simplify]: Simplify (/ 1 1) into 1 11.412 * [backup-simplify]: Simplify (sqrt 0) into 0 11.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.413 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 11.413 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.413 * [taylor]: Taking taylor expansion of 0.5 in k 11.413 * [backup-simplify]: Simplify 0.5 into 0.5 11.413 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.413 * [taylor]: Taking taylor expansion of 1.0 in k 11.414 * [backup-simplify]: Simplify 1.0 into 1.0 11.414 * [taylor]: Taking taylor expansion of k in k 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify 1 into 1 11.414 * [taylor]: Taking taylor expansion of (log n) in k 11.414 * [taylor]: Taking taylor expansion of n in k 11.414 * [backup-simplify]: Simplify n into n 11.414 * [backup-simplify]: Simplify (log n) into (log n) 11.414 * [backup-simplify]: Simplify (- 0) into 0 11.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.415 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.415 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.415 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.415 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 11.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 11.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 11.415 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 11.415 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 11.415 * [taylor]: Taking taylor expansion of 0.25 in k 11.415 * [backup-simplify]: Simplify 0.25 into 0.25 11.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.415 * [taylor]: Taking taylor expansion of 1.0 in k 11.415 * [backup-simplify]: Simplify 1.0 into 1.0 11.415 * [taylor]: Taking taylor expansion of k in k 11.415 * [backup-simplify]: Simplify 0 into 0 11.415 * [backup-simplify]: Simplify 1 into 1 11.415 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 11.416 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 11.416 * [taylor]: Taking taylor expansion of 2.0 in k 11.416 * [backup-simplify]: Simplify 2.0 into 2.0 11.416 * [taylor]: Taking taylor expansion of PI in k 11.416 * [backup-simplify]: Simplify PI into PI 11.416 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.417 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.417 * [backup-simplify]: Simplify (- 0) into 0 11.418 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.418 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 11.420 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 11.423 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 11.426 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 11.428 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 11.430 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 11.430 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.430 * [taylor]: Taking taylor expansion of 0 in n 11.430 * [backup-simplify]: Simplify 0 into 0 11.430 * [backup-simplify]: Simplify 0 into 0 11.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 11.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 11.433 * [backup-simplify]: Simplify (- 1) into -1 11.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.435 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 11.445 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 11.452 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.466 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 11.467 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.467 * [backup-simplify]: Simplify (- 1) into -1 11.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.468 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 11.469 * [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))) 11.476 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 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))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 11.480 * [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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 11.481 * [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))) 11.481 * [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 11.481 * [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 11.481 * [taylor]: Taking taylor expansion of +nan.0 in n 11.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.481 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.481 * [taylor]: Taking taylor expansion of 0.5 in n 11.481 * [backup-simplify]: Simplify 0.5 into 0.5 11.481 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.481 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.481 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.481 * [taylor]: Taking taylor expansion of 1.0 in n 11.481 * [backup-simplify]: Simplify 1.0 into 1.0 11.481 * [taylor]: Taking taylor expansion of (log PI) in n 11.481 * [taylor]: Taking taylor expansion of PI in n 11.481 * [backup-simplify]: Simplify PI into PI 11.482 * [backup-simplify]: Simplify (log PI) into (log PI) 11.482 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.483 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.484 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.484 * [taylor]: Taking taylor expansion of 1.0 in n 11.484 * [backup-simplify]: Simplify 1.0 into 1.0 11.484 * [taylor]: Taking taylor expansion of (log n) in n 11.484 * [taylor]: Taking taylor expansion of n in n 11.484 * [backup-simplify]: Simplify 0 into 0 11.484 * [backup-simplify]: Simplify 1 into 1 11.484 * [backup-simplify]: Simplify (log 1) into 0 11.484 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.484 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.484 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.484 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.484 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.484 * [taylor]: Taking taylor expansion of 1.0 in n 11.484 * [backup-simplify]: Simplify 1.0 into 1.0 11.484 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.484 * [taylor]: Taking taylor expansion of 2.0 in n 11.484 * [backup-simplify]: Simplify 2.0 into 2.0 11.485 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.486 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.487 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.488 * [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) 11.490 * [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) 11.491 * [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)) 11.492 * [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))) 11.494 * [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) 11.495 * [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)) 11.496 * [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))) 11.498 * [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))) 11.498 * [backup-simplify]: Simplify 0 into 0 11.499 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 11.502 * [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 11.503 * [backup-simplify]: Simplify (- 0) into 0 11.503 * [backup-simplify]: Simplify (+ 0 0) into 0 11.504 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.506 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 11.520 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.581 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.582 * [backup-simplify]: Simplify (- 0) into 0 11.582 * [backup-simplify]: Simplify (+ 0 0) into 0 11.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.583 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 11.584 * [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))) 11.596 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 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))) (- (* 0.5 (* (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))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 11.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.599 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.607 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +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)))))))) 11.612 * [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)))))))) 11.612 * [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 11.612 * [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 11.612 * [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 11.612 * [taylor]: Taking taylor expansion of +nan.0 in n 11.612 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.612 * [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 11.612 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.613 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.613 * [taylor]: Taking taylor expansion of 2.0 in n 11.613 * [backup-simplify]: Simplify 2.0 into 2.0 11.613 * [taylor]: Taking taylor expansion of PI in n 11.613 * [backup-simplify]: Simplify PI into PI 11.613 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.614 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.614 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.614 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.614 * [taylor]: Taking taylor expansion of 0.5 in n 11.614 * [backup-simplify]: Simplify 0.5 into 0.5 11.614 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.614 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.614 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.614 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.614 * [taylor]: Taking taylor expansion of 1.0 in n 11.614 * [backup-simplify]: Simplify 1.0 into 1.0 11.614 * [taylor]: Taking taylor expansion of (log PI) in n 11.614 * [taylor]: Taking taylor expansion of PI in n 11.614 * [backup-simplify]: Simplify PI into PI 11.614 * [backup-simplify]: Simplify (log PI) into (log PI) 11.615 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.616 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.616 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.616 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.616 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.616 * [taylor]: Taking taylor expansion of 1.0 in n 11.616 * [backup-simplify]: Simplify 1.0 into 1.0 11.616 * [taylor]: Taking taylor expansion of (log n) in n 11.616 * [taylor]: Taking taylor expansion of n in n 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 1 into 1 11.616 * [backup-simplify]: Simplify (log 1) into 0 11.616 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.616 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.616 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.616 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.616 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.616 * [taylor]: Taking taylor expansion of 1.0 in n 11.616 * [backup-simplify]: Simplify 1.0 into 1.0 11.616 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.617 * [taylor]: Taking taylor expansion of 2.0 in n 11.617 * [backup-simplify]: Simplify 2.0 into 2.0 11.617 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.617 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.618 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.619 * [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) 11.619 * [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) 11.620 * [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)) 11.621 * [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))) 11.623 * [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) 11.623 * [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 11.623 * [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 11.623 * [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 11.623 * [taylor]: Taking taylor expansion of +nan.0 in n 11.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.623 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.623 * [taylor]: Taking taylor expansion of 0.5 in n 11.623 * [backup-simplify]: Simplify 0.5 into 0.5 11.623 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.623 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.623 * [taylor]: Taking taylor expansion of 1.0 in n 11.623 * [backup-simplify]: Simplify 1.0 into 1.0 11.623 * [taylor]: Taking taylor expansion of (log PI) in n 11.623 * [taylor]: Taking taylor expansion of PI in n 11.623 * [backup-simplify]: Simplify PI into PI 11.624 * [backup-simplify]: Simplify (log PI) into (log PI) 11.625 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.626 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.626 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.626 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.626 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.626 * [taylor]: Taking taylor expansion of 1.0 in n 11.626 * [backup-simplify]: Simplify 1.0 into 1.0 11.626 * [taylor]: Taking taylor expansion of (log n) in n 11.626 * [taylor]: Taking taylor expansion of n in n 11.626 * [backup-simplify]: Simplify 0 into 0 11.626 * [backup-simplify]: Simplify 1 into 1 11.627 * [backup-simplify]: Simplify (log 1) into 0 11.627 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.627 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.627 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.627 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.627 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.627 * [taylor]: Taking taylor expansion of 1.0 in n 11.627 * [backup-simplify]: Simplify 1.0 into 1.0 11.627 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.627 * [taylor]: Taking taylor expansion of 2.0 in n 11.627 * [backup-simplify]: Simplify 2.0 into 2.0 11.628 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.628 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.630 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.630 * [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) 11.631 * [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) 11.633 * [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)) 11.634 * [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))) 11.635 * [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) 11.636 * [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 11.636 * [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 11.636 * [taylor]: Taking taylor expansion of +nan.0 in n 11.636 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.636 * [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 11.636 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 11.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 11.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 11.636 * [taylor]: Taking taylor expansion of 0.5 in n 11.636 * [backup-simplify]: Simplify 0.5 into 0.5 11.636 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 11.636 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 11.636 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.636 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.636 * [taylor]: Taking taylor expansion of 1.0 in n 11.636 * [backup-simplify]: Simplify 1.0 into 1.0 11.636 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.636 * [taylor]: Taking taylor expansion of 2.0 in n 11.636 * [backup-simplify]: Simplify 2.0 into 2.0 11.637 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.637 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.639 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.639 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 11.639 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.639 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.639 * [taylor]: Taking taylor expansion of 1.0 in n 11.639 * [backup-simplify]: Simplify 1.0 into 1.0 11.639 * [taylor]: Taking taylor expansion of (log PI) in n 11.639 * [taylor]: Taking taylor expansion of PI in n 11.639 * [backup-simplify]: Simplify PI into PI 11.640 * [backup-simplify]: Simplify (log PI) into (log PI) 11.641 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.642 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.642 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.642 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.642 * [taylor]: Taking taylor expansion of 1.0 in n 11.642 * [backup-simplify]: Simplify 1.0 into 1.0 11.642 * [taylor]: Taking taylor expansion of (log n) in n 11.642 * [taylor]: Taking taylor expansion of n in n 11.642 * [backup-simplify]: Simplify 0 into 0 11.642 * [backup-simplify]: Simplify 1 into 1 11.643 * [backup-simplify]: Simplify (log 1) into 0 11.643 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.643 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.643 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.644 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 11.645 * [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) 11.646 * [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)) 11.648 * [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))) 11.649 * [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) 11.649 * [taylor]: Taking taylor expansion of (log n) in n 11.649 * [taylor]: Taking taylor expansion of n in n 11.649 * [backup-simplify]: Simplify 0 into 0 11.649 * [backup-simplify]: Simplify 1 into 1 11.650 * [backup-simplify]: Simplify (log 1) into 0 11.652 * [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)) 11.654 * [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))) 11.656 * [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)) 11.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.658 * [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)) 11.659 * [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))) 11.661 * [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)))) 11.664 * [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)))))) 11.667 * [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)))))) 11.672 * [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))))))) 11.677 * [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)))))))) 11.681 * [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))))))) 11.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 11.684 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 11.684 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.685 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 11.691 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 11.692 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 11.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.693 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 11.694 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 11.695 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 11.696 * [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 11.698 * [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 11.699 * [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 11.700 * [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 11.701 * [backup-simplify]: Simplify (- 0) into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify 0 into 0 11.701 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.705 * [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 11.706 * [backup-simplify]: Simplify (- 0) into 0 11.706 * [backup-simplify]: Simplify (+ 0 0) into 0 11.707 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.708 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 11.724 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 11.773 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.0026041666666666665 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))))) into (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 11.777 * [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 11.777 * [backup-simplify]: Simplify (- 0) into 0 11.777 * [backup-simplify]: Simplify (+ 0 0) into 0 11.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.780 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 11.782 * [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))) 11.817 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (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)))) (+ (* (* 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))))) (* (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 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))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 11.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.837 * [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))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 3))) (* 0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) (+ (* +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 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 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)))))))))))))) 11.862 * [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)))))))))))))) 11.863 * [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 11.863 * [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 11.863 * [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 11.863 * [taylor]: Taking taylor expansion of +nan.0 in n 11.863 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.863 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 11.863 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 11.863 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 11.863 * [taylor]: Taking taylor expansion of 0.5 in n 11.863 * [backup-simplify]: Simplify 0.5 into 0.5 11.863 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 11.863 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 11.863 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.863 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.863 * [taylor]: Taking taylor expansion of 1.0 in n 11.863 * [backup-simplify]: Simplify 1.0 into 1.0 11.863 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.863 * [taylor]: Taking taylor expansion of 2.0 in n 11.863 * [backup-simplify]: Simplify 2.0 into 2.0 11.864 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.865 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.866 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.867 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 11.867 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.867 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.867 * [taylor]: Taking taylor expansion of 1.0 in n 11.867 * [backup-simplify]: Simplify 1.0 into 1.0 11.867 * [taylor]: Taking taylor expansion of (log n) in n 11.867 * [taylor]: Taking taylor expansion of n in n 11.867 * [backup-simplify]: Simplify 0 into 0 11.867 * [backup-simplify]: Simplify 1 into 1 11.867 * [backup-simplify]: Simplify (log 1) into 0 11.868 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.868 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.868 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.868 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.868 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.868 * [taylor]: Taking taylor expansion of 1.0 in n 11.868 * [backup-simplify]: Simplify 1.0 into 1.0 11.868 * [taylor]: Taking taylor expansion of (log PI) in n 11.868 * [taylor]: Taking taylor expansion of PI in n 11.868 * [backup-simplify]: Simplify PI into PI 11.869 * [backup-simplify]: Simplify (log PI) into (log PI) 11.870 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.871 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.872 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 11.874 * [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) 11.875 * [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)) 11.876 * [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))) 11.878 * [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) 11.878 * [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 11.878 * [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 11.878 * [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 11.878 * [taylor]: Taking taylor expansion of +nan.0 in n 11.878 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.878 * [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 11.878 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 11.878 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.878 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.878 * [taylor]: Taking taylor expansion of 2.0 in n 11.879 * [backup-simplify]: Simplify 2.0 into 2.0 11.879 * [taylor]: Taking taylor expansion of PI in n 11.879 * [backup-simplify]: Simplify PI into PI 11.879 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.880 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.880 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.880 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.880 * [taylor]: Taking taylor expansion of 0.5 in n 11.880 * [backup-simplify]: Simplify 0.5 into 0.5 11.880 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.880 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.880 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.881 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.881 * [taylor]: Taking taylor expansion of 1.0 in n 11.881 * [backup-simplify]: Simplify 1.0 into 1.0 11.881 * [taylor]: Taking taylor expansion of (log PI) in n 11.881 * [taylor]: Taking taylor expansion of PI in n 11.881 * [backup-simplify]: Simplify PI into PI 11.881 * [backup-simplify]: Simplify (log PI) into (log PI) 11.882 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.884 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.884 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.884 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.884 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.884 * [taylor]: Taking taylor expansion of 1.0 in n 11.884 * [backup-simplify]: Simplify 1.0 into 1.0 11.884 * [taylor]: Taking taylor expansion of (log n) in n 11.884 * [taylor]: Taking taylor expansion of n in n 11.884 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify 1 into 1 11.885 * [backup-simplify]: Simplify (log 1) into 0 11.885 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.885 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.885 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.885 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.885 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.885 * [taylor]: Taking taylor expansion of 1.0 in n 11.885 * [backup-simplify]: Simplify 1.0 into 1.0 11.885 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.885 * [taylor]: Taking taylor expansion of 2.0 in n 11.885 * [backup-simplify]: Simplify 2.0 into 2.0 11.886 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.887 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.888 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.889 * [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) 11.890 * [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) 11.892 * [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)) 11.893 * [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))) 11.895 * [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) 11.895 * [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 11.895 * [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 11.895 * [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 11.895 * [taylor]: Taking taylor expansion of +nan.0 in n 11.895 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.895 * [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 11.895 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 11.895 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 11.895 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 11.895 * [taylor]: Taking taylor expansion of 0.5 in n 11.895 * [backup-simplify]: Simplify 0.5 into 0.5 11.895 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 11.895 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 11.895 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.895 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.895 * [taylor]: Taking taylor expansion of 1.0 in n 11.895 * [backup-simplify]: Simplify 1.0 into 1.0 11.895 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.895 * [taylor]: Taking taylor expansion of 2.0 in n 11.895 * [backup-simplify]: Simplify 2.0 into 2.0 11.896 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.897 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.898 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.898 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 11.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.899 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.899 * [taylor]: Taking taylor expansion of 1.0 in n 11.899 * [backup-simplify]: Simplify 1.0 into 1.0 11.899 * [taylor]: Taking taylor expansion of (log PI) in n 11.899 * [taylor]: Taking taylor expansion of PI in n 11.899 * [backup-simplify]: Simplify PI into PI 11.899 * [backup-simplify]: Simplify (log PI) into (log PI) 11.900 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.902 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.902 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.902 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.902 * [taylor]: Taking taylor expansion of 1.0 in n 11.902 * [backup-simplify]: Simplify 1.0 into 1.0 11.902 * [taylor]: Taking taylor expansion of (log n) in n 11.902 * [taylor]: Taking taylor expansion of n in n 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [backup-simplify]: Simplify (log 1) into 0 11.903 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.903 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.903 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.904 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 11.905 * [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) 11.907 * [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)) 11.908 * [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))) 11.910 * [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) 11.910 * [taylor]: Taking taylor expansion of (log n) in n 11.910 * [taylor]: Taking taylor expansion of n in n 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify 1 into 1 11.910 * [backup-simplify]: Simplify (log 1) into 0 11.910 * [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 11.910 * [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 11.910 * [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 11.910 * [taylor]: Taking taylor expansion of +nan.0 in n 11.910 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.910 * [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 11.911 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 11.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 11.911 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 11.911 * [taylor]: Taking taylor expansion of 0.5 in n 11.911 * [backup-simplify]: Simplify 0.5 into 0.5 11.911 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 11.911 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 11.911 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.911 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.911 * [taylor]: Taking taylor expansion of 1.0 in n 11.911 * [backup-simplify]: Simplify 1.0 into 1.0 11.911 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.911 * [taylor]: Taking taylor expansion of 2.0 in n 11.911 * [backup-simplify]: Simplify 2.0 into 2.0 11.911 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.912 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.914 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.914 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 11.914 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.914 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.914 * [taylor]: Taking taylor expansion of 1.0 in n 11.914 * [backup-simplify]: Simplify 1.0 into 1.0 11.914 * [taylor]: Taking taylor expansion of (log PI) in n 11.914 * [taylor]: Taking taylor expansion of PI in n 11.914 * [backup-simplify]: Simplify PI into PI 11.915 * [backup-simplify]: Simplify (log PI) into (log PI) 11.916 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.918 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.918 * [taylor]: Taking taylor expansion of 1.0 in n 11.918 * [backup-simplify]: Simplify 1.0 into 1.0 11.918 * [taylor]: Taking taylor expansion of (log n) in n 11.918 * [taylor]: Taking taylor expansion of n in n 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify 1 into 1 11.918 * [backup-simplify]: Simplify (log 1) into 0 11.919 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.919 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.919 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.920 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 11.921 * [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) 11.922 * [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)) 11.924 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 11.925 * [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) 11.925 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 11.925 * [taylor]: Taking taylor expansion of (log n) in n 11.925 * [taylor]: Taking taylor expansion of n in n 11.925 * [backup-simplify]: Simplify 0 into 0 11.925 * [backup-simplify]: Simplify 1 into 1 11.926 * [backup-simplify]: Simplify (log 1) into 0 11.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.926 * [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 11.926 * [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 11.926 * [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 11.927 * [taylor]: Taking taylor expansion of +nan.0 in n 11.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.927 * [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 11.927 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.927 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.927 * [taylor]: Taking taylor expansion of 2.0 in n 11.927 * [backup-simplify]: Simplify 2.0 into 2.0 11.927 * [taylor]: Taking taylor expansion of PI in n 11.927 * [backup-simplify]: Simplify PI into PI 11.927 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.928 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.928 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.928 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.929 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.929 * [taylor]: Taking taylor expansion of 0.5 in n 11.929 * [backup-simplify]: Simplify 0.5 into 0.5 11.929 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.929 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.929 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.929 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.929 * [taylor]: Taking taylor expansion of 1.0 in n 11.929 * [backup-simplify]: Simplify 1.0 into 1.0 11.929 * [taylor]: Taking taylor expansion of (log PI) in n 11.929 * [taylor]: Taking taylor expansion of PI in n 11.929 * [backup-simplify]: Simplify PI into PI 11.930 * [backup-simplify]: Simplify (log PI) into (log PI) 11.931 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.940 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.940 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.941 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.941 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.941 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.941 * [taylor]: Taking taylor expansion of 1.0 in n 11.941 * [backup-simplify]: Simplify 1.0 into 1.0 11.941 * [taylor]: Taking taylor expansion of (log n) in n 11.941 * [taylor]: Taking taylor expansion of n in n 11.941 * [backup-simplify]: Simplify 0 into 0 11.941 * [backup-simplify]: Simplify 1 into 1 11.941 * [backup-simplify]: Simplify (log 1) into 0 11.942 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.942 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.942 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.942 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.942 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.942 * [taylor]: Taking taylor expansion of 1.0 in n 11.942 * [backup-simplify]: Simplify 1.0 into 1.0 11.942 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.942 * [taylor]: Taking taylor expansion of 2.0 in n 11.942 * [backup-simplify]: Simplify 2.0 into 2.0 11.943 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.944 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.945 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.946 * [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) 11.947 * [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) 11.949 * [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)) 11.951 * [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))) 11.952 * [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) 11.952 * [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 11.952 * [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 11.952 * [taylor]: Taking taylor expansion of +nan.0 in n 11.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.952 * [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 11.952 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 11.953 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 11.953 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 11.953 * [taylor]: Taking taylor expansion of 2.0 in n 11.953 * [backup-simplify]: Simplify 2.0 into 2.0 11.953 * [taylor]: Taking taylor expansion of PI in n 11.953 * [backup-simplify]: Simplify PI into PI 11.953 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 11.954 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 11.954 * [taylor]: Taking taylor expansion of (log n) in n 11.954 * [taylor]: Taking taylor expansion of n in n 11.954 * [backup-simplify]: Simplify 0 into 0 11.954 * [backup-simplify]: Simplify 1 into 1 11.955 * [backup-simplify]: Simplify (log 1) into 0 11.955 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 11.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 11.955 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 11.955 * [taylor]: Taking taylor expansion of 0.5 in n 11.955 * [backup-simplify]: Simplify 0.5 into 0.5 11.955 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 11.955 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 11.955 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.955 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.955 * [taylor]: Taking taylor expansion of 1.0 in n 11.955 * [backup-simplify]: Simplify 1.0 into 1.0 11.955 * [taylor]: Taking taylor expansion of (log PI) in n 11.955 * [taylor]: Taking taylor expansion of PI in n 11.955 * [backup-simplify]: Simplify PI into PI 11.956 * [backup-simplify]: Simplify (log PI) into (log PI) 11.957 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.959 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.959 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 11.959 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.959 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.959 * [taylor]: Taking taylor expansion of 1.0 in n 11.959 * [backup-simplify]: Simplify 1.0 into 1.0 11.959 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.959 * [taylor]: Taking taylor expansion of 2.0 in n 11.959 * [backup-simplify]: Simplify 2.0 into 2.0 11.959 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.960 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.962 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.962 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.962 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.962 * [taylor]: Taking taylor expansion of 1.0 in n 11.962 * [backup-simplify]: Simplify 1.0 into 1.0 11.962 * [taylor]: Taking taylor expansion of (log n) in n 11.962 * [taylor]: Taking taylor expansion of n in n 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.962 * [backup-simplify]: Simplify (log 1) into 0 11.963 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.963 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.963 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.964 * [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) 11.965 * [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) 11.966 * [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)) 11.968 * [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))) 11.969 * [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) 11.971 * [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)) 11.973 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 11.977 * [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)) 11.980 * [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))) 11.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.982 * [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)) 11.983 * [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))) 11.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.984 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.984 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 11.986 * [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)) 11.988 * [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))) 11.990 * [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)) 11.992 * [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))) 11.993 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.994 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 11.997 * [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)) 11.998 * [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))) 12.000 * [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)))) 12.003 * [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)))))) 12.006 * [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)))))) 12.011 * [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)))))))) 12.016 * [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)))))))) 12.021 * [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)))))))))) 12.027 * [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)))))))))) 12.037 * [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)))))))))))) 12.054 * [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)))))))))))) 12.079 * [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)))))))))))))) 12.090 * [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)))))))))))))) 12.100 * [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)))))))))))))) 12.117 * [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)))))))))))))))))))))) 12.118 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))))) into (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) 12.118 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in (k n) around 0 12.118 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in n 12.118 * [taylor]: Taking taylor expansion of 1.0 in n 12.118 * [backup-simplify]: Simplify 1.0 into 1.0 12.118 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in n 12.118 * [taylor]: Taking taylor expansion of (sqrt k) in n 12.118 * [taylor]: Taking taylor expansion of k in n 12.118 * [backup-simplify]: Simplify k into k 12.118 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 12.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 12.118 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 12.118 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.118 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.118 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.118 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.118 * [taylor]: Taking taylor expansion of 0.5 in n 12.118 * [backup-simplify]: Simplify 0.5 into 0.5 12.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.119 * [taylor]: Taking taylor expansion of 1.0 in n 12.119 * [backup-simplify]: Simplify 1.0 into 1.0 12.119 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.119 * [taylor]: Taking taylor expansion of k in n 12.119 * [backup-simplify]: Simplify k into k 12.119 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.119 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.119 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.119 * [taylor]: Taking taylor expansion of n in n 12.119 * [backup-simplify]: Simplify 0 into 0 12.119 * [backup-simplify]: Simplify 1 into 1 12.119 * [backup-simplify]: Simplify (/ 1 1) into 1 12.119 * [backup-simplify]: Simplify (log 1) into 0 12.119 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.119 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.119 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.120 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.120 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.120 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 12.120 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 12.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 12.120 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 12.120 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 12.120 * [taylor]: Taking taylor expansion of 0.25 in n 12.120 * [backup-simplify]: Simplify 0.25 into 0.25 12.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.120 * [taylor]: Taking taylor expansion of 1.0 in n 12.120 * [backup-simplify]: Simplify 1.0 into 1.0 12.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.120 * [taylor]: Taking taylor expansion of k in n 12.120 * [backup-simplify]: Simplify k into k 12.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.120 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.120 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.120 * [taylor]: Taking taylor expansion of 2.0 in n 12.120 * [backup-simplify]: Simplify 2.0 into 2.0 12.120 * [taylor]: Taking taylor expansion of PI in n 12.120 * [backup-simplify]: Simplify PI into PI 12.121 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.121 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.121 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.121 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.121 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 12.122 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.123 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.123 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 12.123 * [taylor]: Taking taylor expansion of 1.0 in k 12.123 * [backup-simplify]: Simplify 1.0 into 1.0 12.123 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 12.123 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.123 * [taylor]: Taking taylor expansion of k in k 12.123 * [backup-simplify]: Simplify 0 into 0 12.123 * [backup-simplify]: Simplify 1 into 1 12.123 * [backup-simplify]: Simplify (sqrt 0) into 0 12.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.124 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.124 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.124 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.124 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.124 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.124 * [taylor]: Taking taylor expansion of 0.5 in k 12.124 * [backup-simplify]: Simplify 0.5 into 0.5 12.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.124 * [taylor]: Taking taylor expansion of 1.0 in k 12.124 * [backup-simplify]: Simplify 1.0 into 1.0 12.124 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.124 * [taylor]: Taking taylor expansion of k in k 12.124 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify 1 into 1 12.125 * [backup-simplify]: Simplify (/ 1 1) into 1 12.125 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.125 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.125 * [taylor]: Taking taylor expansion of n in k 12.125 * [backup-simplify]: Simplify n into n 12.125 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.125 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.125 * [backup-simplify]: Simplify (- 1) into -1 12.125 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.125 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.126 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.126 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.126 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.126 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.126 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.126 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.126 * [taylor]: Taking taylor expansion of 0.25 in k 12.126 * [backup-simplify]: Simplify 0.25 into 0.25 12.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.126 * [taylor]: Taking taylor expansion of 1.0 in k 12.126 * [backup-simplify]: Simplify 1.0 into 1.0 12.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.126 * [taylor]: Taking taylor expansion of k in k 12.126 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify 1 into 1 12.126 * [backup-simplify]: Simplify (/ 1 1) into 1 12.126 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.126 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.126 * [taylor]: Taking taylor expansion of 2.0 in k 12.126 * [backup-simplify]: Simplify 2.0 into 2.0 12.126 * [taylor]: Taking taylor expansion of PI in k 12.126 * [backup-simplify]: Simplify PI into PI 12.127 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.127 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.127 * [backup-simplify]: Simplify (- 1) into -1 12.128 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.128 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.129 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.131 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.131 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)))) in k 12.131 * [taylor]: Taking taylor expansion of 1.0 in k 12.131 * [backup-simplify]: Simplify 1.0 into 1.0 12.131 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 12.131 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.131 * [taylor]: Taking taylor expansion of k in k 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.131 * [backup-simplify]: Simplify (sqrt 0) into 0 12.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.133 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.133 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.133 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.133 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.133 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.133 * [taylor]: Taking taylor expansion of 0.5 in k 12.133 * [backup-simplify]: Simplify 0.5 into 0.5 12.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.133 * [taylor]: Taking taylor expansion of 1.0 in k 12.133 * [backup-simplify]: Simplify 1.0 into 1.0 12.133 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.133 * [taylor]: Taking taylor expansion of k in k 12.133 * [backup-simplify]: Simplify 0 into 0 12.133 * [backup-simplify]: Simplify 1 into 1 12.133 * [backup-simplify]: Simplify (/ 1 1) into 1 12.133 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.133 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.134 * [taylor]: Taking taylor expansion of n in k 12.134 * [backup-simplify]: Simplify n into n 12.134 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.134 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.134 * [backup-simplify]: Simplify (- 1) into -1 12.135 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.135 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.135 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.135 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.135 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.135 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.135 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.135 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.136 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.136 * [taylor]: Taking taylor expansion of 0.25 in k 12.136 * [backup-simplify]: Simplify 0.25 into 0.25 12.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.136 * [taylor]: Taking taylor expansion of 1.0 in k 12.136 * [backup-simplify]: Simplify 1.0 into 1.0 12.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.136 * [taylor]: Taking taylor expansion of k in k 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (/ 1 1) into 1 12.136 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.136 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.136 * [taylor]: Taking taylor expansion of 2.0 in k 12.136 * [backup-simplify]: Simplify 2.0 into 2.0 12.136 * [taylor]: Taking taylor expansion of PI in k 12.136 * [backup-simplify]: Simplify PI into PI 12.137 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.138 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.138 * [backup-simplify]: Simplify (- 1) into -1 12.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.139 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.141 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.143 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.145 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.147 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.148 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.149 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.149 * [taylor]: Taking taylor expansion of 0 in n 12.149 * [backup-simplify]: Simplify 0 into 0 12.149 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.154 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.156 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.158 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.158 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.159 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.159 * [taylor]: Taking taylor expansion of +nan.0 in n 12.159 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.159 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.159 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.159 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.159 * [taylor]: Taking taylor expansion of 0.5 in n 12.159 * [backup-simplify]: Simplify 0.5 into 0.5 12.159 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.159 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.159 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.159 * [taylor]: Taking taylor expansion of n in n 12.159 * [backup-simplify]: Simplify 0 into 0 12.159 * [backup-simplify]: Simplify 1 into 1 12.159 * [backup-simplify]: Simplify (/ 1 1) into 1 12.160 * [backup-simplify]: Simplify (log 1) into 0 12.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.160 * [taylor]: Taking taylor expansion of 1.0 in n 12.160 * [backup-simplify]: Simplify 1.0 into 1.0 12.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.160 * [taylor]: Taking taylor expansion of k in n 12.160 * [backup-simplify]: Simplify k into k 12.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.160 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.160 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.161 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.161 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.161 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.161 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.161 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.161 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.161 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.161 * [taylor]: Taking taylor expansion of 0.25 in n 12.161 * [backup-simplify]: Simplify 0.25 into 0.25 12.161 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.161 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.161 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.161 * [taylor]: Taking taylor expansion of 2.0 in n 12.161 * [backup-simplify]: Simplify 2.0 into 2.0 12.161 * [taylor]: Taking taylor expansion of PI in n 12.161 * [backup-simplify]: Simplify PI into PI 12.162 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.163 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.163 * [taylor]: Taking taylor expansion of 1.0 in n 12.163 * [backup-simplify]: Simplify 1.0 into 1.0 12.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.163 * [taylor]: Taking taylor expansion of k in n 12.163 * [backup-simplify]: Simplify k into k 12.163 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.163 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.163 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.165 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.166 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.167 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.169 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.171 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.172 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.174 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.176 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.176 * [backup-simplify]: Simplify 0 into 0 12.179 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 12.181 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.187 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.190 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.190 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.190 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.190 * [taylor]: Taking taylor expansion of +nan.0 in n 12.190 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.190 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.190 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.190 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.190 * [taylor]: Taking taylor expansion of 0.5 in n 12.190 * [backup-simplify]: Simplify 0.5 into 0.5 12.190 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.190 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.190 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.190 * [taylor]: Taking taylor expansion of n in n 12.190 * [backup-simplify]: Simplify 0 into 0 12.190 * [backup-simplify]: Simplify 1 into 1 12.190 * [backup-simplify]: Simplify (/ 1 1) into 1 12.191 * [backup-simplify]: Simplify (log 1) into 0 12.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.191 * [taylor]: Taking taylor expansion of 1.0 in n 12.191 * [backup-simplify]: Simplify 1.0 into 1.0 12.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.191 * [taylor]: Taking taylor expansion of k in n 12.191 * [backup-simplify]: Simplify k into k 12.191 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.191 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.191 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.191 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.191 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.192 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.192 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.192 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.192 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.192 * [taylor]: Taking taylor expansion of 0.25 in n 12.192 * [backup-simplify]: Simplify 0.25 into 0.25 12.192 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.192 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.192 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.192 * [taylor]: Taking taylor expansion of 2.0 in n 12.192 * [backup-simplify]: Simplify 2.0 into 2.0 12.192 * [taylor]: Taking taylor expansion of PI in n 12.192 * [backup-simplify]: Simplify PI into PI 12.198 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.199 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.199 * [taylor]: Taking taylor expansion of 1.0 in n 12.199 * [backup-simplify]: Simplify 1.0 into 1.0 12.199 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.199 * [taylor]: Taking taylor expansion of k in n 12.199 * [backup-simplify]: Simplify k into k 12.199 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.199 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.199 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.200 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.201 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.201 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.203 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.204 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.205 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.206 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.207 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.208 * [backup-simplify]: Simplify (- 0) into 0 12.208 * [backup-simplify]: Simplify (+ 0 0) into 0 12.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.210 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.211 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 12.212 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.213 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.214 * [backup-simplify]: Simplify (- 0) into 0 12.214 * [backup-simplify]: Simplify (+ 0 0) into 0 12.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.216 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.216 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 12.216 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.217 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.219 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.219 * [backup-simplify]: Simplify (- 0) into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.219 * [backup-simplify]: Simplify 0 into 0 12.221 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 12.222 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 12.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.229 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.229 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) in n 12.229 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) in n 12.229 * [taylor]: Taking taylor expansion of +nan.0 in n 12.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.229 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.230 * [taylor]: Taking taylor expansion of 0.5 in n 12.230 * [backup-simplify]: Simplify 0.5 into 0.5 12.230 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.230 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.230 * [taylor]: Taking taylor expansion of n in n 12.230 * [backup-simplify]: Simplify 0 into 0 12.230 * [backup-simplify]: Simplify 1 into 1 12.230 * [backup-simplify]: Simplify (/ 1 1) into 1 12.230 * [backup-simplify]: Simplify (log 1) into 0 12.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.230 * [taylor]: Taking taylor expansion of 1.0 in n 12.230 * [backup-simplify]: Simplify 1.0 into 1.0 12.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.230 * [taylor]: Taking taylor expansion of k in n 12.230 * [backup-simplify]: Simplify k into k 12.230 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.231 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.231 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.231 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.231 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.231 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.231 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.231 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.231 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.231 * [taylor]: Taking taylor expansion of 0.25 in n 12.231 * [backup-simplify]: Simplify 0.25 into 0.25 12.231 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.231 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.231 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.231 * [taylor]: Taking taylor expansion of 2.0 in n 12.231 * [backup-simplify]: Simplify 2.0 into 2.0 12.231 * [taylor]: Taking taylor expansion of PI in n 12.231 * [backup-simplify]: Simplify PI into PI 12.232 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.232 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.232 * [taylor]: Taking taylor expansion of 1.0 in n 12.232 * [backup-simplify]: Simplify 1.0 into 1.0 12.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.232 * [taylor]: Taking taylor expansion of k in n 12.232 * [backup-simplify]: Simplify k into k 12.232 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.232 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.233 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.233 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.234 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.235 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.236 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.237 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.238 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) 12.239 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.240 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into (- (* +nan.0 (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) 12.244 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (* +nan.0 (/ (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k))))))) 12.245 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) 12.245 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in (k n) around 0 12.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in n 12.245 * [taylor]: Taking taylor expansion of 1.0 in n 12.245 * [backup-simplify]: Simplify 1.0 into 1.0 12.245 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in n 12.245 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 12.245 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.245 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.245 * [taylor]: Taking taylor expansion of 0.5 in n 12.245 * [backup-simplify]: Simplify 0.5 into 0.5 12.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.245 * [taylor]: Taking taylor expansion of k in n 12.245 * [backup-simplify]: Simplify k into k 12.245 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.245 * [taylor]: Taking taylor expansion of 1.0 in n 12.245 * [backup-simplify]: Simplify 1.0 into 1.0 12.245 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.245 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.245 * [taylor]: Taking taylor expansion of -1 in n 12.246 * [backup-simplify]: Simplify -1 into -1 12.246 * [taylor]: Taking taylor expansion of n in n 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (/ -1 1) into -1 12.246 * [backup-simplify]: Simplify (log -1) into (log -1) 12.246 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.246 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.247 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.247 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.247 * [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)))) 12.247 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 12.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 12.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 12.248 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 12.248 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 12.248 * [taylor]: Taking taylor expansion of 0.25 in n 12.248 * [backup-simplify]: Simplify 0.25 into 0.25 12.248 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.248 * [taylor]: Taking taylor expansion of k in n 12.248 * [backup-simplify]: Simplify k into k 12.248 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.248 * [taylor]: Taking taylor expansion of 1.0 in n 12.248 * [backup-simplify]: Simplify 1.0 into 1.0 12.248 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.248 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.248 * [taylor]: Taking taylor expansion of 2.0 in n 12.248 * [backup-simplify]: Simplify 2.0 into 2.0 12.248 * [taylor]: Taking taylor expansion of PI in n 12.248 * [backup-simplify]: Simplify PI into PI 12.248 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.249 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.249 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.249 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 12.250 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.250 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 12.250 * [taylor]: Taking taylor expansion of (/ -1 k) in n 12.250 * [taylor]: Taking taylor expansion of -1 in n 12.250 * [backup-simplify]: Simplify -1 into -1 12.250 * [taylor]: Taking taylor expansion of k in n 12.250 * [backup-simplify]: Simplify k into k 12.250 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 12.251 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 12.251 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 12.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 12.252 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.253 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.254 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) into (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) 12.254 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 12.254 * [taylor]: Taking taylor expansion of 1.0 in k 12.254 * [backup-simplify]: Simplify 1.0 into 1.0 12.255 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 12.255 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.255 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.255 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.255 * [taylor]: Taking taylor expansion of 0.5 in k 12.255 * [backup-simplify]: Simplify 0.5 into 0.5 12.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.255 * [taylor]: Taking taylor expansion of k in k 12.255 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify 1 into 1 12.255 * [backup-simplify]: Simplify (/ 1 1) into 1 12.255 * [taylor]: Taking taylor expansion of 1.0 in k 12.255 * [backup-simplify]: Simplify 1.0 into 1.0 12.255 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.255 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.255 * [taylor]: Taking taylor expansion of -1 in k 12.255 * [backup-simplify]: Simplify -1 into -1 12.255 * [taylor]: Taking taylor expansion of n in k 12.255 * [backup-simplify]: Simplify n into n 12.255 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.255 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.255 * [backup-simplify]: Simplify (+ 1 0) into 1 12.256 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.256 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.256 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.256 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.256 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.256 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.256 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.256 * [taylor]: Taking taylor expansion of 0.25 in k 12.256 * [backup-simplify]: Simplify 0.25 into 0.25 12.256 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.256 * [taylor]: Taking taylor expansion of k in k 12.256 * [backup-simplify]: Simplify 0 into 0 12.256 * [backup-simplify]: Simplify 1 into 1 12.256 * [backup-simplify]: Simplify (/ 1 1) into 1 12.256 * [taylor]: Taking taylor expansion of 1.0 in k 12.256 * [backup-simplify]: Simplify 1.0 into 1.0 12.256 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.256 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.256 * [taylor]: Taking taylor expansion of 2.0 in k 12.256 * [backup-simplify]: Simplify 2.0 into 2.0 12.257 * [taylor]: Taking taylor expansion of PI in k 12.257 * [backup-simplify]: Simplify PI into PI 12.257 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.258 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.259 * [backup-simplify]: Simplify (+ 1 0) into 1 12.259 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.261 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.262 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.262 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.262 * [taylor]: Taking taylor expansion of -1 in k 12.262 * [backup-simplify]: Simplify -1 into -1 12.262 * [taylor]: Taking taylor expansion of k in k 12.262 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 1 into 1 12.263 * [backup-simplify]: Simplify (/ -1 1) into -1 12.263 * [backup-simplify]: Simplify (sqrt 0) into 0 12.265 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.267 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.269 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.270 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.271 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k)))) in k 12.271 * [taylor]: Taking taylor expansion of 1.0 in k 12.271 * [backup-simplify]: Simplify 1.0 into 1.0 12.271 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 12.271 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.271 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.271 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.271 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.271 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.271 * [taylor]: Taking taylor expansion of 0.5 in k 12.271 * [backup-simplify]: Simplify 0.5 into 0.5 12.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.271 * [taylor]: Taking taylor expansion of k in k 12.271 * [backup-simplify]: Simplify 0 into 0 12.271 * [backup-simplify]: Simplify 1 into 1 12.271 * [backup-simplify]: Simplify (/ 1 1) into 1 12.272 * [taylor]: Taking taylor expansion of 1.0 in k 12.272 * [backup-simplify]: Simplify 1.0 into 1.0 12.272 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.272 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.272 * [taylor]: Taking taylor expansion of -1 in k 12.272 * [backup-simplify]: Simplify -1 into -1 12.272 * [taylor]: Taking taylor expansion of n in k 12.272 * [backup-simplify]: Simplify n into n 12.272 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.272 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.272 * [backup-simplify]: Simplify (+ 1 0) into 1 12.273 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.273 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.273 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.273 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.273 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.273 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.273 * [taylor]: Taking taylor expansion of 0.25 in k 12.273 * [backup-simplify]: Simplify 0.25 into 0.25 12.274 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.274 * [taylor]: Taking taylor expansion of k in k 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.274 * [backup-simplify]: Simplify (/ 1 1) into 1 12.274 * [taylor]: Taking taylor expansion of 1.0 in k 12.274 * [backup-simplify]: Simplify 1.0 into 1.0 12.274 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.274 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.274 * [taylor]: Taking taylor expansion of 2.0 in k 12.274 * [backup-simplify]: Simplify 2.0 into 2.0 12.274 * [taylor]: Taking taylor expansion of PI in k 12.274 * [backup-simplify]: Simplify PI into PI 12.275 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.276 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.276 * [backup-simplify]: Simplify (+ 1 0) into 1 12.277 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.279 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.280 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.280 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.280 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.280 * [taylor]: Taking taylor expansion of -1 in k 12.280 * [backup-simplify]: Simplify -1 into -1 12.280 * [taylor]: Taking taylor expansion of k in k 12.280 * [backup-simplify]: Simplify 0 into 0 12.280 * [backup-simplify]: Simplify 1 into 1 12.280 * [backup-simplify]: Simplify (/ -1 1) into -1 12.281 * [backup-simplify]: Simplify (sqrt 0) into 0 12.282 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.285 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.287 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.288 * [backup-simplify]: Simplify (/ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) +nan.0) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.290 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) 12.290 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.290 * [taylor]: Taking taylor expansion of +nan.0 in n 12.291 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.291 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.291 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.291 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.291 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.291 * [taylor]: Taking taylor expansion of 0.25 in n 12.291 * [backup-simplify]: Simplify 0.25 into 0.25 12.291 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.291 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.291 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.291 * [taylor]: Taking taylor expansion of 2.0 in n 12.291 * [backup-simplify]: Simplify 2.0 into 2.0 12.291 * [taylor]: Taking taylor expansion of PI in n 12.291 * [backup-simplify]: Simplify PI into PI 12.292 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.293 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.293 * [taylor]: Taking taylor expansion of k in n 12.293 * [backup-simplify]: Simplify k into k 12.293 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.293 * [taylor]: Taking taylor expansion of 1.0 in n 12.293 * [backup-simplify]: Simplify 1.0 into 1.0 12.293 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.295 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.296 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.297 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.297 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.297 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.297 * [taylor]: Taking taylor expansion of 0.5 in n 12.297 * [backup-simplify]: Simplify 0.5 into 0.5 12.297 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.297 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.297 * [taylor]: Taking taylor expansion of k in n 12.297 * [backup-simplify]: Simplify k into k 12.297 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.297 * [taylor]: Taking taylor expansion of 1.0 in n 12.297 * [backup-simplify]: Simplify 1.0 into 1.0 12.297 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.297 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.298 * [taylor]: Taking taylor expansion of -1 in n 12.298 * [backup-simplify]: Simplify -1 into -1 12.298 * [taylor]: Taking taylor expansion of n in n 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify 1 into 1 12.298 * [backup-simplify]: Simplify (/ -1 1) into -1 12.298 * [backup-simplify]: Simplify (log -1) into (log -1) 12.299 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.300 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.301 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.301 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 12.304 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.305 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.306 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.307 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.309 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.316 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 12.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.320 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.322 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.322 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 12.322 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.322 * [taylor]: Taking taylor expansion of +nan.0 in n 12.322 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.322 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.322 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.322 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.322 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.322 * [taylor]: Taking taylor expansion of 0.25 in n 12.322 * [backup-simplify]: Simplify 0.25 into 0.25 12.322 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.322 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.322 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.322 * [taylor]: Taking taylor expansion of 2.0 in n 12.322 * [backup-simplify]: Simplify 2.0 into 2.0 12.322 * [taylor]: Taking taylor expansion of PI in n 12.322 * [backup-simplify]: Simplify PI into PI 12.322 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.323 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.323 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.323 * [taylor]: Taking taylor expansion of k in n 12.323 * [backup-simplify]: Simplify k into k 12.323 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.323 * [taylor]: Taking taylor expansion of 1.0 in n 12.323 * [backup-simplify]: Simplify 1.0 into 1.0 12.323 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.324 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.324 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.325 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.325 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.325 * [taylor]: Taking taylor expansion of 0.5 in n 12.325 * [backup-simplify]: Simplify 0.5 into 0.5 12.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.325 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.325 * [taylor]: Taking taylor expansion of k in n 12.325 * [backup-simplify]: Simplify k into k 12.325 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.325 * [taylor]: Taking taylor expansion of 1.0 in n 12.325 * [backup-simplify]: Simplify 1.0 into 1.0 12.325 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.326 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.326 * [taylor]: Taking taylor expansion of -1 in n 12.326 * [backup-simplify]: Simplify -1 into -1 12.326 * [taylor]: Taking taylor expansion of n in n 12.326 * [backup-simplify]: Simplify 0 into 0 12.326 * [backup-simplify]: Simplify 1 into 1 12.326 * [backup-simplify]: Simplify (/ -1 1) into -1 12.326 * [backup-simplify]: Simplify (log -1) into (log -1) 12.326 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.327 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.327 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.327 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.328 * [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)))) 12.329 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.330 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.331 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.333 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.334 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.336 * [backup-simplify]: Simplify (+ 0 0) into 0 12.336 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.337 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 12.337 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 12.338 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.338 * [backup-simplify]: Simplify (+ 0 0) into 0 12.339 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.340 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.341 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 12.342 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.345 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 12.346 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 12.346 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 12.349 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 12.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.356 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.362 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (+ (* 0 (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) (* 0 (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) 12.362 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 12.362 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 12.362 * [taylor]: Taking taylor expansion of +nan.0 in n 12.362 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.362 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.362 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.362 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.362 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.362 * [taylor]: Taking taylor expansion of 0.25 in n 12.362 * [backup-simplify]: Simplify 0.25 into 0.25 12.362 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.362 * [taylor]: Taking taylor expansion of 2.0 in n 12.362 * [backup-simplify]: Simplify 2.0 into 2.0 12.362 * [taylor]: Taking taylor expansion of PI in n 12.362 * [backup-simplify]: Simplify PI into PI 12.363 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.364 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.364 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.364 * [taylor]: Taking taylor expansion of k in n 12.364 * [backup-simplify]: Simplify k into k 12.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.364 * [taylor]: Taking taylor expansion of 1.0 in n 12.364 * [backup-simplify]: Simplify 1.0 into 1.0 12.364 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.365 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.366 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.367 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.368 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.368 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.368 * [taylor]: Taking taylor expansion of 0.5 in n 12.368 * [backup-simplify]: Simplify 0.5 into 0.5 12.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.368 * [taylor]: Taking taylor expansion of k in n 12.368 * [backup-simplify]: Simplify k into k 12.368 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.368 * [taylor]: Taking taylor expansion of 1.0 in n 12.368 * [backup-simplify]: Simplify 1.0 into 1.0 12.368 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.368 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.368 * [taylor]: Taking taylor expansion of -1 in n 12.368 * [backup-simplify]: Simplify -1 into -1 12.368 * [taylor]: Taking taylor expansion of n in n 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (/ -1 1) into -1 12.369 * [backup-simplify]: Simplify (log -1) into (log -1) 12.369 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.370 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.371 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.371 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.372 * [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)))) 12.374 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.376 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.378 * [backup-simplify]: Simplify (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 12.381 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.383 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 12.389 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (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)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) (pow k 2)))))))) 12.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 12.390 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0)))) into (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 12.390 * [approximate]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in (k n) around 0 12.390 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in n 12.390 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.390 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.390 * [taylor]: Taking taylor expansion of 0.5 in n 12.390 * [backup-simplify]: Simplify 0.5 into 0.5 12.390 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.390 * [taylor]: Taking taylor expansion of 1.0 in n 12.390 * [backup-simplify]: Simplify 1.0 into 1.0 12.390 * [taylor]: Taking taylor expansion of k in n 12.390 * [backup-simplify]: Simplify k into k 12.390 * [taylor]: Taking taylor expansion of (log n) in n 12.390 * [taylor]: Taking taylor expansion of n in n 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (log 1) into 0 12.390 * [backup-simplify]: Simplify (- k) into (- k) 12.390 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.390 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.391 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.391 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.391 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.391 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in n 12.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in n 12.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in n 12.391 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in n 12.391 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 12.391 * [taylor]: Taking taylor expansion of 0.25 in n 12.391 * [backup-simplify]: Simplify 0.25 into 0.25 12.391 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.391 * [taylor]: Taking taylor expansion of 1.0 in n 12.391 * [backup-simplify]: Simplify 1.0 into 1.0 12.391 * [taylor]: Taking taylor expansion of k in n 12.391 * [backup-simplify]: Simplify k into k 12.391 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.391 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.391 * [taylor]: Taking taylor expansion of 2.0 in n 12.391 * [backup-simplify]: Simplify 2.0 into 2.0 12.391 * [taylor]: Taking taylor expansion of PI in n 12.391 * [backup-simplify]: Simplify PI into PI 12.391 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.392 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.392 * [backup-simplify]: Simplify (- k) into (- k) 12.392 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.392 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 12.393 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) into (* 0.25 (* (- 1.0 k) (log (* 2.0 PI)))) 12.394 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) into (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 12.394 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 12.394 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.394 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.394 * [taylor]: Taking taylor expansion of 0.5 in k 12.394 * [backup-simplify]: Simplify 0.5 into 0.5 12.394 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.394 * [taylor]: Taking taylor expansion of 1.0 in k 12.394 * [backup-simplify]: Simplify 1.0 into 1.0 12.394 * [taylor]: Taking taylor expansion of k in k 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [taylor]: Taking taylor expansion of (log n) in k 12.394 * [taylor]: Taking taylor expansion of n in k 12.394 * [backup-simplify]: Simplify n into n 12.394 * [backup-simplify]: Simplify (log n) into (log n) 12.394 * [backup-simplify]: Simplify (- 0) into 0 12.394 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.395 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.395 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.395 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.395 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 12.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 12.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.395 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 12.395 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.395 * [taylor]: Taking taylor expansion of 0.25 in k 12.395 * [backup-simplify]: Simplify 0.25 into 0.25 12.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.395 * [taylor]: Taking taylor expansion of 1.0 in k 12.395 * [backup-simplify]: Simplify 1.0 into 1.0 12.395 * [taylor]: Taking taylor expansion of k in k 12.395 * [backup-simplify]: Simplify 0 into 0 12.395 * [backup-simplify]: Simplify 1 into 1 12.395 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.395 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.395 * [taylor]: Taking taylor expansion of 2.0 in k 12.395 * [backup-simplify]: Simplify 2.0 into 2.0 12.395 * [taylor]: Taking taylor expansion of PI in k 12.395 * [backup-simplify]: Simplify PI into PI 12.395 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.396 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.396 * [backup-simplify]: Simplify (- 0) into 0 12.396 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.397 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.398 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.399 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 12.399 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 12.399 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.399 * [taylor]: Taking taylor expansion of 0.5 in k 12.399 * [backup-simplify]: Simplify 0.5 into 0.5 12.399 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.400 * [taylor]: Taking taylor expansion of 1.0 in k 12.400 * [backup-simplify]: Simplify 1.0 into 1.0 12.400 * [taylor]: Taking taylor expansion of k in k 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 1 into 1 12.400 * [taylor]: Taking taylor expansion of (log n) in k 12.400 * [taylor]: Taking taylor expansion of n in k 12.400 * [backup-simplify]: Simplify n into n 12.400 * [backup-simplify]: Simplify (log n) into (log n) 12.400 * [backup-simplify]: Simplify (- 0) into 0 12.400 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.400 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.400 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.401 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.401 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 12.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 12.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.401 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 12.401 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 12.401 * [taylor]: Taking taylor expansion of 0.25 in k 12.401 * [backup-simplify]: Simplify 0.25 into 0.25 12.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.401 * [taylor]: Taking taylor expansion of 1.0 in k 12.401 * [backup-simplify]: Simplify 1.0 into 1.0 12.401 * [taylor]: Taking taylor expansion of k in k 12.401 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify 1 into 1 12.401 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.401 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.401 * [taylor]: Taking taylor expansion of 2.0 in k 12.401 * [backup-simplify]: Simplify 2.0 into 2.0 12.401 * [taylor]: Taking taylor expansion of PI in k 12.401 * [backup-simplify]: Simplify PI into PI 12.401 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.402 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.402 * [backup-simplify]: Simplify (- 0) into 0 12.403 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.403 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 12.404 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.405 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.25) 12.407 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.25) (pow (* 2.0 PI) 0.25)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 12.409 * [backup-simplify]: Simplify (* (pow n 0.5) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 12.409 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.409 * [taylor]: Taking taylor expansion of 0.5 in n 12.409 * [backup-simplify]: Simplify 0.5 into 0.5 12.409 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.409 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.409 * [taylor]: Taking taylor expansion of 1.0 in n 12.409 * [backup-simplify]: Simplify 1.0 into 1.0 12.409 * [taylor]: Taking taylor expansion of (log PI) in n 12.409 * [taylor]: Taking taylor expansion of PI in n 12.409 * [backup-simplify]: Simplify PI into PI 12.410 * [backup-simplify]: Simplify (log PI) into (log PI) 12.410 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.411 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.411 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.411 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.411 * [taylor]: Taking taylor expansion of 1.0 in n 12.411 * [backup-simplify]: Simplify 1.0 into 1.0 12.411 * [taylor]: Taking taylor expansion of (log n) in n 12.411 * [taylor]: Taking taylor expansion of n in n 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.412 * [backup-simplify]: Simplify (log 1) into 0 12.412 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.412 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.412 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.412 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.412 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.412 * [taylor]: Taking taylor expansion of 1.0 in n 12.412 * [backup-simplify]: Simplify 1.0 into 1.0 12.412 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.412 * [taylor]: Taking taylor expansion of 2.0 in n 12.412 * [backup-simplify]: Simplify 2.0 into 2.0 12.412 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.413 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.415 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.415 * [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) 12.417 * [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) 12.418 * [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)) 12.419 * [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))) 12.421 * [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) 12.423 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 12.432 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.434 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.435 * [backup-simplify]: Simplify (- 1) into -1 12.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.437 * [backup-simplify]: Simplify (+ (* 0.25 -1) (* 0 1.0)) into (- 0.25) 12.440 * [backup-simplify]: Simplify (+ (* 0.25 0) (* (- 0.25) (log (* 2.0 PI)))) into (- (* 0.25 (log (* 2.0 PI)))) 12.453 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 1) 1)))) into (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.480 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25))) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 12.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.481 * [backup-simplify]: Simplify (- 1) into -1 12.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.483 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.484 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 12.484 * [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))) 12.498 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (- (* 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))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) 12.498 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 12.498 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 12.498 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.498 * [taylor]: Taking taylor expansion of 0.5 in n 12.498 * [backup-simplify]: Simplify 0.5 into 0.5 12.498 * [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 12.498 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.498 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.498 * [taylor]: Taking taylor expansion of 2.0 in n 12.498 * [backup-simplify]: Simplify 2.0 into 2.0 12.499 * [taylor]: Taking taylor expansion of PI in n 12.499 * [backup-simplify]: Simplify PI into PI 12.499 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.500 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.500 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.500 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.500 * [taylor]: Taking taylor expansion of 0.5 in n 12.500 * [backup-simplify]: Simplify 0.5 into 0.5 12.500 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.500 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.500 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.501 * [taylor]: Taking taylor expansion of 1.0 in n 12.501 * [backup-simplify]: Simplify 1.0 into 1.0 12.501 * [taylor]: Taking taylor expansion of (log PI) in n 12.501 * [taylor]: Taking taylor expansion of PI in n 12.501 * [backup-simplify]: Simplify PI into PI 12.501 * [backup-simplify]: Simplify (log PI) into (log PI) 12.502 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.504 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.504 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.504 * [taylor]: Taking taylor expansion of 1.0 in n 12.504 * [backup-simplify]: Simplify 1.0 into 1.0 12.504 * [taylor]: Taking taylor expansion of (log n) in n 12.504 * [taylor]: Taking taylor expansion of n in n 12.504 * [backup-simplify]: Simplify 0 into 0 12.504 * [backup-simplify]: Simplify 1 into 1 12.505 * [backup-simplify]: Simplify (log 1) into 0 12.505 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.505 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.505 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.505 * [taylor]: Taking taylor expansion of 1.0 in n 12.505 * [backup-simplify]: Simplify 1.0 into 1.0 12.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.505 * [taylor]: Taking taylor expansion of 2.0 in n 12.505 * [backup-simplify]: Simplify 2.0 into 2.0 12.506 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.507 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.508 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.509 * [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) 12.510 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 12.511 * [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)) 12.513 * [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))) 12.514 * [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) 12.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 12.514 * [taylor]: Taking taylor expansion of 0.5 in n 12.514 * [backup-simplify]: Simplify 0.5 into 0.5 12.514 * [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 12.514 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.514 * [taylor]: Taking taylor expansion of 0.5 in n 12.514 * [backup-simplify]: Simplify 0.5 into 0.5 12.514 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.514 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.514 * [taylor]: Taking taylor expansion of 1.0 in n 12.514 * [backup-simplify]: Simplify 1.0 into 1.0 12.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.515 * [taylor]: Taking taylor expansion of 2.0 in n 12.515 * [backup-simplify]: Simplify 2.0 into 2.0 12.515 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.516 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.517 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.517 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.517 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.517 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.517 * [taylor]: Taking taylor expansion of 1.0 in n 12.517 * [backup-simplify]: Simplify 1.0 into 1.0 12.517 * [taylor]: Taking taylor expansion of (log PI) in n 12.517 * [taylor]: Taking taylor expansion of PI in n 12.517 * [backup-simplify]: Simplify PI into PI 12.518 * [backup-simplify]: Simplify (log PI) into (log PI) 12.519 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.521 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.521 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.521 * [taylor]: Taking taylor expansion of 1.0 in n 12.521 * [backup-simplify]: Simplify 1.0 into 1.0 12.521 * [taylor]: Taking taylor expansion of (log n) in n 12.521 * [taylor]: Taking taylor expansion of n in n 12.521 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify 1 into 1 12.521 * [backup-simplify]: Simplify (log 1) into 0 12.522 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.522 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.522 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.523 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.524 * [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) 12.525 * [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)) 12.527 * [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))) 12.528 * [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) 12.528 * [taylor]: Taking taylor expansion of (log n) in n 12.528 * [taylor]: Taking taylor expansion of n in n 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.529 * [backup-simplify]: Simplify (log 1) into 0 12.531 * [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)) 12.534 * [backup-simplify]: Simplify (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.534 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.536 * [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)) 12.537 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.542 * [backup-simplify]: Simplify (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 12.546 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 12.551 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 12.553 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 12.555 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 12.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.557 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.558 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 12.559 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 12.559 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 12.561 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.562 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 12.563 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 12.565 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 12.566 * [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 12.567 * [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 12.568 * [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 12.568 * [backup-simplify]: Simplify 0 into 0 12.569 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.571 * [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 12.571 * [backup-simplify]: Simplify (- 0) into 0 12.572 * [backup-simplify]: Simplify (+ 0 0) into 0 12.572 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.573 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* (- 0.25) 0) (* 0 (log (* 2.0 PI))))) into 0 12.589 * [backup-simplify]: Simplify (* (exp (* 0.25 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.25 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) 12.629 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.25) (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (+ (* (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (* -0.25 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25)))) (* (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.25))) (pow (* 2.0 PI) 0.25)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 12.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.630 * [backup-simplify]: Simplify (- 0) into 0 12.630 * [backup-simplify]: Simplify (+ 0 0) into 0 12.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 12.632 * [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))) 12.644 * [backup-simplify]: Simplify (+ (* (pow n 0.5) (* 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))) (- (* 0.5 (* (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))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 12.645 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 12.645 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 12.645 * [taylor]: Taking taylor expansion of 0.125 in n 12.645 * [backup-simplify]: Simplify 0.125 into 0.125 12.645 * [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 12.645 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 12.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 12.645 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 12.645 * [taylor]: Taking taylor expansion of 0.5 in n 12.645 * [backup-simplify]: Simplify 0.5 into 0.5 12.645 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 12.645 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 12.645 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.645 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.645 * [taylor]: Taking taylor expansion of 1.0 in n 12.645 * [backup-simplify]: Simplify 1.0 into 1.0 12.645 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.645 * [taylor]: Taking taylor expansion of 2.0 in n 12.645 * [backup-simplify]: Simplify 2.0 into 2.0 12.645 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.646 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.647 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.647 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 12.647 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.647 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.647 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.647 * [taylor]: Taking taylor expansion of 1.0 in n 12.647 * [backup-simplify]: Simplify 1.0 into 1.0 12.647 * [taylor]: Taking taylor expansion of (log PI) in n 12.647 * [taylor]: Taking taylor expansion of PI in n 12.647 * [backup-simplify]: Simplify PI into PI 12.647 * [backup-simplify]: Simplify (log PI) into (log PI) 12.648 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.649 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.649 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.649 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.649 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.649 * [taylor]: Taking taylor expansion of 1.0 in n 12.649 * [backup-simplify]: Simplify 1.0 into 1.0 12.649 * [taylor]: Taking taylor expansion of (log n) in n 12.649 * [taylor]: Taking taylor expansion of n in n 12.649 * [backup-simplify]: Simplify 0 into 0 12.649 * [backup-simplify]: Simplify 1 into 1 12.649 * [backup-simplify]: Simplify (log 1) into 0 12.650 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.650 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.650 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.650 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 12.651 * [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) 12.652 * [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)) 12.653 * [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))) 12.653 * [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) 12.654 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 12.654 * [taylor]: Taking taylor expansion of (log n) in n 12.654 * [taylor]: Taking taylor expansion of n in n 12.654 * [backup-simplify]: Simplify 0 into 0 12.654 * [backup-simplify]: Simplify 1 into 1 12.654 * [backup-simplify]: Simplify (log 1) into 0 12.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.654 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 12.654 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 12.654 * [taylor]: Taking taylor expansion of 0.125 in n 12.654 * [backup-simplify]: Simplify 0.125 into 0.125 12.654 * [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 12.654 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 12.654 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.654 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.654 * [taylor]: Taking taylor expansion of 2.0 in n 12.654 * [backup-simplify]: Simplify 2.0 into 2.0 12.654 * [taylor]: Taking taylor expansion of PI in n 12.654 * [backup-simplify]: Simplify PI into PI 12.655 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.655 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.655 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.655 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.655 * [taylor]: Taking taylor expansion of 0.5 in n 12.655 * [backup-simplify]: Simplify 0.5 into 0.5 12.655 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.655 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.655 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.656 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.656 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.656 * [taylor]: Taking taylor expansion of 1.0 in n 12.656 * [backup-simplify]: Simplify 1.0 into 1.0 12.656 * [taylor]: Taking taylor expansion of (log PI) in n 12.656 * [taylor]: Taking taylor expansion of PI in n 12.656 * [backup-simplify]: Simplify PI into PI 12.656 * [backup-simplify]: Simplify (log PI) into (log PI) 12.656 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.658 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.658 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.658 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.658 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.658 * [taylor]: Taking taylor expansion of 1.0 in n 12.658 * [backup-simplify]: Simplify 1.0 into 1.0 12.658 * [taylor]: Taking taylor expansion of (log n) in n 12.658 * [taylor]: Taking taylor expansion of n in n 12.658 * [backup-simplify]: Simplify 0 into 0 12.658 * [backup-simplify]: Simplify 1 into 1 12.659 * [backup-simplify]: Simplify (log 1) into 0 12.659 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.659 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.659 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.659 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.659 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.659 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.660 * [taylor]: Taking taylor expansion of 1.0 in n 12.660 * [backup-simplify]: Simplify 1.0 into 1.0 12.660 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.660 * [taylor]: Taking taylor expansion of 2.0 in n 12.660 * [backup-simplify]: Simplify 2.0 into 2.0 12.660 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.661 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.663 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.663 * [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) 12.665 * [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) 12.666 * [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)) 12.667 * [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))) 12.669 * [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) 12.669 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 12.669 * [taylor]: Taking taylor expansion of 0.25 in n 12.669 * [backup-simplify]: Simplify 0.25 into 0.25 12.669 * [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 12.669 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 12.669 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.669 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.669 * [taylor]: Taking taylor expansion of 2.0 in n 12.669 * [backup-simplify]: Simplify 2.0 into 2.0 12.669 * [taylor]: Taking taylor expansion of PI in n 12.670 * [backup-simplify]: Simplify PI into PI 12.670 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.672 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.672 * [taylor]: Taking taylor expansion of (log n) in n 12.672 * [taylor]: Taking taylor expansion of n in n 12.672 * [backup-simplify]: Simplify 0 into 0 12.672 * [backup-simplify]: Simplify 1 into 1 12.672 * [backup-simplify]: Simplify (log 1) into 0 12.672 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 12.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 12.672 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 12.672 * [taylor]: Taking taylor expansion of 0.5 in n 12.672 * [backup-simplify]: Simplify 0.5 into 0.5 12.672 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 12.672 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 12.672 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.672 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.672 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.673 * [taylor]: Taking taylor expansion of 1.0 in n 12.673 * [backup-simplify]: Simplify 1.0 into 1.0 12.673 * [taylor]: Taking taylor expansion of (log PI) in n 12.673 * [taylor]: Taking taylor expansion of PI in n 12.673 * [backup-simplify]: Simplify PI into PI 12.673 * [backup-simplify]: Simplify (log PI) into (log PI) 12.675 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.676 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.676 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 12.676 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.676 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.676 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.676 * [taylor]: Taking taylor expansion of 1.0 in n 12.676 * [backup-simplify]: Simplify 1.0 into 1.0 12.677 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.677 * [taylor]: Taking taylor expansion of 2.0 in n 12.677 * [backup-simplify]: Simplify 2.0 into 2.0 12.677 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.678 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.679 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.679 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.680 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.680 * [taylor]: Taking taylor expansion of 1.0 in n 12.680 * [backup-simplify]: Simplify 1.0 into 1.0 12.680 * [taylor]: Taking taylor expansion of (log n) in n 12.680 * [taylor]: Taking taylor expansion of n in n 12.680 * [backup-simplify]: Simplify 0 into 0 12.680 * [backup-simplify]: Simplify 1 into 1 12.680 * [backup-simplify]: Simplify (log 1) into 0 12.681 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.681 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.681 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.681 * [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) 12.683 * [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) 12.684 * [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)) 12.685 * [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))) 12.687 * [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) 12.687 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.688 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 12.690 * [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)) 12.691 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 12.694 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 12.697 * [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)) 12.701 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 12.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.702 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 12.705 * [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)) 12.708 * [backup-simplify]: Simplify (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) into (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) 12.725 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) into (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) 12.733 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 12.741 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) into (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) 12.756 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 12.758 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)))) into (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) 12.758 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in (k n) around 0 12.758 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in n 12.758 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.758 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.759 * [taylor]: Taking taylor expansion of 0.5 in n 12.759 * [backup-simplify]: Simplify 0.5 into 0.5 12.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.759 * [taylor]: Taking taylor expansion of 1.0 in n 12.759 * [backup-simplify]: Simplify 1.0 into 1.0 12.759 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.759 * [taylor]: Taking taylor expansion of k in n 12.759 * [backup-simplify]: Simplify k into k 12.759 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.759 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.759 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.759 * [taylor]: Taking taylor expansion of n in n 12.759 * [backup-simplify]: Simplify 0 into 0 12.759 * [backup-simplify]: Simplify 1 into 1 12.759 * [backup-simplify]: Simplify (/ 1 1) into 1 12.760 * [backup-simplify]: Simplify (log 1) into 0 12.760 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.760 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.760 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.760 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.761 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.761 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.761 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 12.761 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in n 12.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 12.761 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 12.761 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 12.761 * [taylor]: Taking taylor expansion of 0.25 in n 12.761 * [backup-simplify]: Simplify 0.25 into 0.25 12.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.761 * [taylor]: Taking taylor expansion of 1.0 in n 12.761 * [backup-simplify]: Simplify 1.0 into 1.0 12.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.761 * [taylor]: Taking taylor expansion of k in n 12.761 * [backup-simplify]: Simplify k into k 12.761 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.761 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.761 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.761 * [taylor]: Taking taylor expansion of 2.0 in n 12.761 * [backup-simplify]: Simplify 2.0 into 2.0 12.762 * [taylor]: Taking taylor expansion of PI in n 12.762 * [backup-simplify]: Simplify PI into PI 12.762 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.763 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.763 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.763 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.763 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 12.765 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.766 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.766 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.766 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.766 * [taylor]: Taking taylor expansion of 0.5 in k 12.766 * [backup-simplify]: Simplify 0.5 into 0.5 12.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.766 * [taylor]: Taking taylor expansion of 1.0 in k 12.766 * [backup-simplify]: Simplify 1.0 into 1.0 12.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.766 * [taylor]: Taking taylor expansion of k in k 12.766 * [backup-simplify]: Simplify 0 into 0 12.766 * [backup-simplify]: Simplify 1 into 1 12.767 * [backup-simplify]: Simplify (/ 1 1) into 1 12.767 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.767 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.767 * [taylor]: Taking taylor expansion of n in k 12.767 * [backup-simplify]: Simplify n into n 12.767 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.767 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.767 * [backup-simplify]: Simplify (- 1) into -1 12.768 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.768 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.768 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.769 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.769 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.769 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.769 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.769 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.769 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.769 * [taylor]: Taking taylor expansion of 0.25 in k 12.769 * [backup-simplify]: Simplify 0.25 into 0.25 12.769 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.769 * [taylor]: Taking taylor expansion of 1.0 in k 12.769 * [backup-simplify]: Simplify 1.0 into 1.0 12.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.769 * [taylor]: Taking taylor expansion of k in k 12.769 * [backup-simplify]: Simplify 0 into 0 12.769 * [backup-simplify]: Simplify 1 into 1 12.769 * [backup-simplify]: Simplify (/ 1 1) into 1 12.770 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.770 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.770 * [taylor]: Taking taylor expansion of 2.0 in k 12.770 * [backup-simplify]: Simplify 2.0 into 2.0 12.770 * [taylor]: Taking taylor expansion of PI in k 12.770 * [backup-simplify]: Simplify PI into PI 12.770 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.771 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.772 * [backup-simplify]: Simplify (- 1) into -1 12.772 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.773 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.774 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.776 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.776 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 12.776 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.776 * [taylor]: Taking taylor expansion of 0.5 in k 12.776 * [backup-simplify]: Simplify 0.5 into 0.5 12.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.776 * [taylor]: Taking taylor expansion of 1.0 in k 12.776 * [backup-simplify]: Simplify 1.0 into 1.0 12.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.776 * [taylor]: Taking taylor expansion of k in k 12.776 * [backup-simplify]: Simplify 0 into 0 12.776 * [backup-simplify]: Simplify 1 into 1 12.776 * [backup-simplify]: Simplify (/ 1 1) into 1 12.776 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.776 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.776 * [taylor]: Taking taylor expansion of n in k 12.777 * [backup-simplify]: Simplify n into n 12.777 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.777 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.777 * [backup-simplify]: Simplify (- 1) into -1 12.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.778 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.778 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.778 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 12.778 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 12.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 12.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.778 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.778 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 12.778 * [taylor]: Taking taylor expansion of 0.25 in k 12.778 * [backup-simplify]: Simplify 0.25 into 0.25 12.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.778 * [taylor]: Taking taylor expansion of 1.0 in k 12.778 * [backup-simplify]: Simplify 1.0 into 1.0 12.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.778 * [taylor]: Taking taylor expansion of k in k 12.778 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify 1 into 1 12.779 * [backup-simplify]: Simplify (/ 1 1) into 1 12.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.779 * [taylor]: Taking taylor expansion of 2.0 in k 12.779 * [backup-simplify]: Simplify 2.0 into 2.0 12.779 * [taylor]: Taking taylor expansion of PI in k 12.779 * [backup-simplify]: Simplify PI into PI 12.779 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.780 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.781 * [backup-simplify]: Simplify (- 1) into -1 12.781 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.781 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 12.783 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 PI))) into (* -0.25 (log (* 2.0 PI))) 12.784 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.786 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.788 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.788 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) in n 12.788 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 12.788 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 12.788 * [taylor]: Taking taylor expansion of 0.5 in n 12.788 * [backup-simplify]: Simplify 0.5 into 0.5 12.788 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 12.788 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.788 * [taylor]: Taking taylor expansion of n in n 12.788 * [backup-simplify]: Simplify 0 into 0 12.788 * [backup-simplify]: Simplify 1 into 1 12.788 * [backup-simplify]: Simplify (/ 1 1) into 1 12.789 * [backup-simplify]: Simplify (log 1) into 0 12.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.789 * [taylor]: Taking taylor expansion of 1.0 in n 12.789 * [backup-simplify]: Simplify 1.0 into 1.0 12.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.789 * [taylor]: Taking taylor expansion of k in n 12.789 * [backup-simplify]: Simplify k into k 12.789 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.789 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.789 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.789 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 12.789 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 12.789 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 12.790 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) in n 12.790 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 12.790 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 12.790 * [taylor]: Taking taylor expansion of 0.25 in n 12.790 * [backup-simplify]: Simplify 0.25 into 0.25 12.790 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 12.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.790 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.790 * [taylor]: Taking taylor expansion of 2.0 in n 12.790 * [backup-simplify]: Simplify 2.0 into 2.0 12.790 * [taylor]: Taking taylor expansion of PI in n 12.790 * [backup-simplify]: Simplify PI into PI 12.790 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.791 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.791 * [taylor]: Taking taylor expansion of 1.0 in n 12.791 * [backup-simplify]: Simplify 1.0 into 1.0 12.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.791 * [taylor]: Taking taylor expansion of k in n 12.791 * [backup-simplify]: Simplify k into k 12.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.791 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.791 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.792 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) into (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) 12.792 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) into (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) 12.793 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 12.794 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2) 12.795 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.796 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) into (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)) 12.798 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.799 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.799 * [taylor]: Taking taylor expansion of 0 in n 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.799 * [backup-simplify]: Simplify (- 0) into 0 12.799 * [backup-simplify]: Simplify (+ 0 0) into 0 12.800 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.801 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.802 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into 0 12.803 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.805 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into 0 12.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.805 * [backup-simplify]: Simplify (- 0) into 0 12.806 * [backup-simplify]: Simplify (+ 0 0) into 0 12.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.807 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.807 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 12.808 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.809 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))) into 0 12.809 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 12.812 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.812 * [taylor]: Taking taylor expansion of 0 in n 12.812 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.812 * [backup-simplify]: Simplify (- 0) into 0 12.812 * [backup-simplify]: Simplify (+ 0 0) into 0 12.813 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.815 * [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 12.816 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.817 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 12.818 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.820 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into 0 12.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.821 * [backup-simplify]: Simplify (- 0) into 0 12.821 * [backup-simplify]: Simplify (+ 0 0) into 0 12.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.823 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.823 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k))))))) into 0 12.825 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.826 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2)))) into 0 12.826 * [backup-simplify]: Simplify 0 into 0 12.828 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into 0 12.829 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 2))))) into 0 12.829 * [taylor]: Taking taylor expansion of 0 in n 12.829 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) 2)) into (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 12.831 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) 12.831 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in (k n) around 0 12.832 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in n 12.832 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.832 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.832 * [taylor]: Taking taylor expansion of 0.5 in n 12.832 * [backup-simplify]: Simplify 0.5 into 0.5 12.832 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.832 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.832 * [taylor]: Taking taylor expansion of k in n 12.832 * [backup-simplify]: Simplify k into k 12.832 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.832 * [taylor]: Taking taylor expansion of 1.0 in n 12.832 * [backup-simplify]: Simplify 1.0 into 1.0 12.832 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.832 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.832 * [taylor]: Taking taylor expansion of -1 in n 12.832 * [backup-simplify]: Simplify -1 into -1 12.832 * [taylor]: Taking taylor expansion of n in n 12.832 * [backup-simplify]: Simplify 0 into 0 12.832 * [backup-simplify]: Simplify 1 into 1 12.832 * [backup-simplify]: Simplify (/ -1 1) into -1 12.832 * [backup-simplify]: Simplify (log -1) into (log -1) 12.832 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.833 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.833 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.833 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.834 * [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)))) 12.834 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 12.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in n 12.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 12.834 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 12.834 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 12.834 * [taylor]: Taking taylor expansion of 0.25 in n 12.834 * [backup-simplify]: Simplify 0.25 into 0.25 12.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.834 * [taylor]: Taking taylor expansion of k in n 12.834 * [backup-simplify]: Simplify k into k 12.834 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.834 * [taylor]: Taking taylor expansion of 1.0 in n 12.834 * [backup-simplify]: Simplify 1.0 into 1.0 12.834 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.834 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.834 * [taylor]: Taking taylor expansion of 2.0 in n 12.834 * [backup-simplify]: Simplify 2.0 into 2.0 12.834 * [taylor]: Taking taylor expansion of PI in n 12.834 * [backup-simplify]: Simplify PI into PI 12.834 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.835 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.835 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.835 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 12.844 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.846 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.846 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.846 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.846 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.846 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.846 * [taylor]: Taking taylor expansion of 0.5 in k 12.846 * [backup-simplify]: Simplify 0.5 into 0.5 12.846 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.846 * [taylor]: Taking taylor expansion of k in k 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 1 into 1 12.846 * [backup-simplify]: Simplify (/ 1 1) into 1 12.846 * [taylor]: Taking taylor expansion of 1.0 in k 12.846 * [backup-simplify]: Simplify 1.0 into 1.0 12.847 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.847 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.847 * [taylor]: Taking taylor expansion of -1 in k 12.847 * [backup-simplify]: Simplify -1 into -1 12.847 * [taylor]: Taking taylor expansion of n in k 12.847 * [backup-simplify]: Simplify n into n 12.847 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.847 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.847 * [backup-simplify]: Simplify (+ 1 0) into 1 12.848 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.848 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.848 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.848 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.848 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.848 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.848 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.848 * [taylor]: Taking taylor expansion of 0.25 in k 12.848 * [backup-simplify]: Simplify 0.25 into 0.25 12.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.848 * [taylor]: Taking taylor expansion of k in k 12.848 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify 1 into 1 12.849 * [backup-simplify]: Simplify (/ 1 1) into 1 12.849 * [taylor]: Taking taylor expansion of 1.0 in k 12.849 * [backup-simplify]: Simplify 1.0 into 1.0 12.849 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.849 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.849 * [taylor]: Taking taylor expansion of 2.0 in k 12.849 * [backup-simplify]: Simplify 2.0 into 2.0 12.849 * [taylor]: Taking taylor expansion of PI in k 12.849 * [backup-simplify]: Simplify PI into PI 12.850 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.851 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.851 * [backup-simplify]: Simplify (+ 1 0) into 1 12.852 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.854 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.855 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.855 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 12.855 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.855 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.855 * [taylor]: Taking taylor expansion of 0.5 in k 12.855 * [backup-simplify]: Simplify 0.5 into 0.5 12.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.856 * [taylor]: Taking taylor expansion of k in k 12.856 * [backup-simplify]: Simplify 0 into 0 12.856 * [backup-simplify]: Simplify 1 into 1 12.856 * [backup-simplify]: Simplify (/ 1 1) into 1 12.856 * [taylor]: Taking taylor expansion of 1.0 in k 12.856 * [backup-simplify]: Simplify 1.0 into 1.0 12.856 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.856 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.856 * [taylor]: Taking taylor expansion of -1 in k 12.856 * [backup-simplify]: Simplify -1 into -1 12.856 * [taylor]: Taking taylor expansion of n in k 12.856 * [backup-simplify]: Simplify n into n 12.856 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.856 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.857 * [backup-simplify]: Simplify (+ 1 0) into 1 12.857 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.857 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.858 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 12.858 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 12.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 12.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.858 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.858 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 12.858 * [taylor]: Taking taylor expansion of 0.25 in k 12.858 * [backup-simplify]: Simplify 0.25 into 0.25 12.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.858 * [taylor]: Taking taylor expansion of k in k 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 1 into 1 12.858 * [backup-simplify]: Simplify (/ 1 1) into 1 12.859 * [taylor]: Taking taylor expansion of 1.0 in k 12.859 * [backup-simplify]: Simplify 1.0 into 1.0 12.859 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.859 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.859 * [taylor]: Taking taylor expansion of 2.0 in k 12.859 * [backup-simplify]: Simplify 2.0 into 2.0 12.859 * [taylor]: Taking taylor expansion of PI in k 12.859 * [backup-simplify]: Simplify PI into PI 12.859 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.860 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.861 * [backup-simplify]: Simplify (+ 1 0) into 1 12.861 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 12.863 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 PI))) into (* 0.25 (log (* 2.0 PI))) 12.864 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.867 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.869 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) 12.869 * [taylor]: Taking taylor expansion of (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 12.869 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) in n 12.869 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 12.869 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 12.869 * [taylor]: Taking taylor expansion of 0.25 in n 12.869 * [backup-simplify]: Simplify 0.25 into 0.25 12.869 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 12.869 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 12.869 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 12.869 * [taylor]: Taking taylor expansion of 2.0 in n 12.869 * [backup-simplify]: Simplify 2.0 into 2.0 12.869 * [taylor]: Taking taylor expansion of PI in n 12.869 * [backup-simplify]: Simplify PI into PI 12.870 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.871 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.871 * [taylor]: Taking taylor expansion of k in n 12.871 * [backup-simplify]: Simplify k into k 12.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.871 * [taylor]: Taking taylor expansion of 1.0 in n 12.871 * [backup-simplify]: Simplify 1.0 into 1.0 12.871 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.873 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) into (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) 12.874 * [backup-simplify]: Simplify (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) into (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) 12.874 * [backup-simplify]: Simplify (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 12.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 12.874 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 12.874 * [taylor]: Taking taylor expansion of 0.5 in n 12.874 * [backup-simplify]: Simplify 0.5 into 0.5 12.874 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 12.874 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.875 * [taylor]: Taking taylor expansion of k in n 12.875 * [backup-simplify]: Simplify k into k 12.875 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.875 * [taylor]: Taking taylor expansion of 1.0 in n 12.875 * [backup-simplify]: Simplify 1.0 into 1.0 12.875 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.875 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.875 * [taylor]: Taking taylor expansion of -1 in n 12.875 * [backup-simplify]: Simplify -1 into -1 12.875 * [taylor]: Taking taylor expansion of n in n 12.875 * [backup-simplify]: Simplify 0 into 0 12.875 * [backup-simplify]: Simplify 1 into 1 12.875 * [backup-simplify]: Simplify (/ -1 1) into -1 12.875 * [backup-simplify]: Simplify (log -1) into (log -1) 12.875 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.876 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.876 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 12.876 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.877 * [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)))) 12.878 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 12.879 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.881 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 12.882 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.883 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))) into 0 12.883 * [taylor]: Taking taylor expansion of 0 in n 12.883 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.885 * [backup-simplify]: Simplify (+ 0 0) into 0 12.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.886 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 12.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 12.887 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.887 * [backup-simplify]: Simplify (+ 0 0) into 0 12.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.889 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.890 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into 0 12.891 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.893 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into 0 12.894 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into 0 12.894 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 12.897 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2)))) into 0 12.897 * [taylor]: Taking taylor expansion of 0 in n 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.899 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.899 * [backup-simplify]: Simplify (+ 0 0) into 0 12.900 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.900 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 12.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) into 0 12.903 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.904 * [backup-simplify]: Simplify (+ 0 0) into 0 12.905 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.908 * [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 12.909 * [backup-simplify]: Simplify (+ (* (log (* 2.0 PI)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.910 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into 0 12.913 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.915 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into 0 12.917 * [backup-simplify]: Simplify (+ (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 12.917 * [backup-simplify]: Simplify 0 into 0 12.920 * [backup-simplify]: Simplify (+ (* (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into 0 12.922 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 2))))) into 0 12.922 * [taylor]: Taking taylor expansion of 0 in n 12.922 * [backup-simplify]: Simplify 0 into 0 12.922 * [backup-simplify]: Simplify 0 into 0 12.924 * [backup-simplify]: Simplify (* (pow (exp (* 0.25 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) 2) (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)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 12.924 * * * [progress]: simplifying candidates 12.934 * [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) 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1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 12.946 * * [simplify]: Extracting # 0 : cost 0 12.947 * * [simplify]: Extracting # 1 : cost 0 12.947 * * [simplify]: Extracting # 2 : cost 0 12.948 * * [simplify]: Extracting # 3 : cost 0 12.949 * * [simplify]: Extracting # 4 : cost 0 12.949 * * [simplify]: Extracting # 5 : cost 0 12.957 * * [simplify]: Extracting # 6 : cost 0 12.958 * * [simplify]: Extracting # 7 : cost 0 12.958 * * [simplify]: Extracting # 8 : cost 0 12.959 * * [simplify]: Extracting # 9 : cost 0 12.960 * * [simplify]: Extracting # 10 : cost 0 12.961 * * [simplify]: Extracting # 11 : cost 0 12.961 * * [simplify]: Extracting # 12 : cost 0 12.962 * * [simplify]: Extracting # 13 : cost 0 12.963 * * [simplify]: Extracting # 14 : cost 0 12.963 * * [simplify]: Extracting # 15 : cost 0 12.964 * * [simplify]: Extracting # 16 : cost 0 12.965 * * [simplify]: Extracting # 17 : cost 0 12.965 * * [simplify]: Extracting # 18 : cost 0 12.966 * * [simplify]: Extracting # 19 : cost 0 12.967 * * [simplify]: Extracting # 20 : cost 0 12.967 * * [simplify]: Extracting # 21 : cost 0 12.968 * * [simplify]: Extracting # 22 : cost 0 12.969 * * [simplify]: Extracting # 23 : cost 0 12.969 * * [simplify]: Extracting # 24 : cost 0 12.970 * * [simplify]: Extracting # 25 : cost 0 12.970 * * [simplify]: Extracting # 26 : cost 0 12.971 * * [simplify]: Extracting # 27 : cost 0 12.972 * * [simplify]: Extracting # 28 : cost 0 12.972 * * [simplify]: Extracting # 29 : cost 0 12.973 * * [simplify]: Extracting # 30 : cost 0 12.974 * * [simplify]: Extracting # 31 : cost 0 12.974 * * [simplify]: Extracting # 32 : cost 0 12.975 * * [simplify]: Extracting # 33 : cost 0 12.976 * * [simplify]: iteration 0 : 464 enodes (cost 11011 ) 13.140 * * [simplify]: Extracting # 0 : cost 0 13.142 * * [simplify]: Extracting # 1 : cost 0 13.144 * * [simplify]: Extracting # 2 : cost 0 13.145 * * [simplify]: Extracting # 3 : cost 0 13.147 * * [simplify]: Extracting # 4 : cost 0 13.148 * * [simplify]: Extracting # 5 : cost 0 13.150 * * [simplify]: Extracting # 6 : cost 0 13.151 * * [simplify]: iteration 1 : 1223 enodes (cost 8028 ) 13.908 * * [simplify]: Extracting # 0 : cost 0 13.914 * * [simplify]: Extracting # 1 : cost 0 13.919 * * [simplify]: Extracting # 2 : cost 0 13.927 * * [simplify]: Extracting # 3 : cost 0 13.941 * * [simplify]: Extracting # 4 : cost 0 13.946 * * [simplify]: Extracting # 5 : cost 0 13.951 * * [simplify]: Extracting # 6 : cost 0 13.956 * * [simplify]: iteration 2 : 4112 enodes (cost 7464 ) 15.616 * * [simplify]: Extracting # 0 : cost 0 15.622 * * [simplify]: Extracting # 1 : cost 0 15.629 * * [simplify]: Extracting # 2 : cost 0 15.635 * * [simplify]: Extracting # 3 : cost 0 15.651 * * [simplify]: Extracting # 4 : cost 0 15.664 * * [simplify]: iteration done: 5000 enodes (cost 6576 ) 15.669 * [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 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(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 (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (/ k (/ (pow (/ 1 n) (* -0.5 (- 1.0 k))) k))))) (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (/ (pow k 3) (pow (/ 1 n) (* -0.5 (- 1.0 k))))) (/ (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) k)))) (+ (* +nan.0 (- (/ (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (/ k (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))))) (/ (* (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) (* k k)))) (* (- +nan.0) (* (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)))) (- (+ (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* 0.125 (+ (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (* (* (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))))) (* (* k (+ (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 0.5)) (* (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (pow (/ 1 n) (* -0.5 (- 1.0 k)))) (* (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) 15.674 * * * [progress]: adding candidates to table 16.548 * * [progress]: iteration 4 / 4 16.548 * * * [progress]: picking best candidate 16.581 * * * * [pick]: Picked # 16.581 * * * [progress]: localizing error 16.610 * * * [progress]: generating rewritten candidates 16.610 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 16.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 16.670 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 16.681 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 16.784 * * * [progress]: generating series expansions 16.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 16.785 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.786 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.786 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.786 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.786 * [taylor]: Taking taylor expansion of 0.5 in k 16.786 * [backup-simplify]: Simplify 0.5 into 0.5 16.786 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.786 * [taylor]: Taking taylor expansion of 1.0 in k 16.786 * [backup-simplify]: Simplify 1.0 into 1.0 16.786 * [taylor]: Taking taylor expansion of k in k 16.786 * [backup-simplify]: Simplify 0 into 0 16.786 * [backup-simplify]: Simplify 1 into 1 16.786 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.786 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.786 * [taylor]: Taking taylor expansion of 2.0 in k 16.786 * [backup-simplify]: Simplify 2.0 into 2.0 16.786 * [taylor]: Taking taylor expansion of (* n PI) in k 16.786 * [taylor]: Taking taylor expansion of n in k 16.786 * [backup-simplify]: Simplify n into n 16.786 * [taylor]: Taking taylor expansion of PI in k 16.786 * [backup-simplify]: Simplify PI into PI 16.786 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.786 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.787 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.787 * [backup-simplify]: Simplify (- 0) into 0 16.788 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.788 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.789 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.789 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.789 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.789 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.789 * [taylor]: Taking taylor expansion of 0.5 in n 16.789 * [backup-simplify]: Simplify 0.5 into 0.5 16.789 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.789 * [taylor]: Taking taylor expansion of 1.0 in n 16.789 * [backup-simplify]: Simplify 1.0 into 1.0 16.789 * [taylor]: Taking taylor expansion of k in n 16.789 * [backup-simplify]: Simplify k into k 16.789 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.789 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.789 * [taylor]: Taking taylor expansion of 2.0 in n 16.789 * [backup-simplify]: Simplify 2.0 into 2.0 16.789 * [taylor]: Taking taylor expansion of (* n PI) in n 16.789 * [taylor]: Taking taylor expansion of n in n 16.789 * [backup-simplify]: Simplify 0 into 0 16.789 * [backup-simplify]: Simplify 1 into 1 16.789 * [taylor]: Taking taylor expansion of PI in n 16.789 * [backup-simplify]: Simplify PI into PI 16.790 * [backup-simplify]: Simplify (* 0 PI) into 0 16.791 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.792 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.794 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.795 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.795 * [backup-simplify]: Simplify (- k) into (- k) 16.795 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.795 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.797 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.798 * [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)))) 16.800 * [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))))) 16.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.800 * [taylor]: Taking taylor expansion of 0.5 in n 16.800 * [backup-simplify]: Simplify 0.5 into 0.5 16.800 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.800 * [taylor]: Taking taylor expansion of 1.0 in n 16.800 * [backup-simplify]: Simplify 1.0 into 1.0 16.800 * [taylor]: Taking taylor expansion of k in n 16.800 * [backup-simplify]: Simplify k into k 16.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.800 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.800 * [taylor]: Taking taylor expansion of 2.0 in n 16.800 * [backup-simplify]: Simplify 2.0 into 2.0 16.800 * [taylor]: Taking taylor expansion of (* n PI) in n 16.800 * [taylor]: Taking taylor expansion of n in n 16.800 * [backup-simplify]: Simplify 0 into 0 16.800 * [backup-simplify]: Simplify 1 into 1 16.800 * [taylor]: Taking taylor expansion of PI in n 16.800 * [backup-simplify]: Simplify PI into PI 16.801 * [backup-simplify]: Simplify (* 0 PI) into 0 16.801 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.803 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.805 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.806 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.806 * [backup-simplify]: Simplify (- k) into (- k) 16.806 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.806 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.807 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.809 * [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)))) 16.810 * [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))))) 16.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.810 * [taylor]: Taking taylor expansion of 0.5 in k 16.810 * [backup-simplify]: Simplify 0.5 into 0.5 16.810 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.810 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.810 * [taylor]: Taking taylor expansion of 1.0 in k 16.810 * [backup-simplify]: Simplify 1.0 into 1.0 16.811 * [taylor]: Taking taylor expansion of k in k 16.811 * [backup-simplify]: Simplify 0 into 0 16.811 * [backup-simplify]: Simplify 1 into 1 16.811 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.811 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.811 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.811 * [taylor]: Taking taylor expansion of 2.0 in k 16.811 * [backup-simplify]: Simplify 2.0 into 2.0 16.811 * [taylor]: Taking taylor expansion of PI in k 16.811 * [backup-simplify]: Simplify PI into PI 16.812 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.813 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.813 * [taylor]: Taking taylor expansion of (log n) in k 16.813 * [taylor]: Taking taylor expansion of n in k 16.813 * [backup-simplify]: Simplify n into n 16.813 * [backup-simplify]: Simplify (log n) into (log n) 16.813 * [backup-simplify]: Simplify (- 0) into 0 16.814 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.825 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.826 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.827 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.828 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.829 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.832 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.834 * [backup-simplify]: Simplify (- 0) into 0 16.834 * [backup-simplify]: Simplify (+ 0 0) into 0 16.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.837 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.837 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.839 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.839 * [taylor]: Taking taylor expansion of 0 in k 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.840 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.841 * [backup-simplify]: Simplify (+ 0 0) into 0 16.841 * [backup-simplify]: Simplify (- 1) into -1 16.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.843 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.844 * [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)))) 16.846 * [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)))))) 16.848 * [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)))))) 16.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.849 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.852 * [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 16.852 * [backup-simplify]: Simplify (- 0) into 0 16.852 * [backup-simplify]: Simplify (+ 0 0) into 0 16.853 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.854 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.854 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.856 * [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 16.856 * [taylor]: Taking taylor expansion of 0 in k 16.856 * [backup-simplify]: Simplify 0 into 0 16.856 * [backup-simplify]: Simplify 0 into 0 16.856 * [backup-simplify]: Simplify 0 into 0 16.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.859 * [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 16.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.860 * [backup-simplify]: Simplify (+ 0 0) into 0 16.860 * [backup-simplify]: Simplify (- 0) into 0 16.861 * [backup-simplify]: Simplify (+ 0 0) into 0 16.862 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.863 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.866 * [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)))))) 16.869 * [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)))))) 16.880 * [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)))))) 16.881 * [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)))) 16.881 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.881 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.882 * [taylor]: Taking taylor expansion of 0.5 in k 16.882 * [backup-simplify]: Simplify 0.5 into 0.5 16.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.882 * [taylor]: Taking taylor expansion of 1.0 in k 16.882 * [backup-simplify]: Simplify 1.0 into 1.0 16.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.882 * [taylor]: Taking taylor expansion of k in k 16.882 * [backup-simplify]: Simplify 0 into 0 16.882 * [backup-simplify]: Simplify 1 into 1 16.882 * [backup-simplify]: Simplify (/ 1 1) into 1 16.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.882 * [taylor]: Taking taylor expansion of 2.0 in k 16.882 * [backup-simplify]: Simplify 2.0 into 2.0 16.882 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.882 * [taylor]: Taking taylor expansion of PI in k 16.882 * [backup-simplify]: Simplify PI into PI 16.883 * [taylor]: Taking taylor expansion of n in k 16.883 * [backup-simplify]: Simplify n into n 16.883 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.883 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.883 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.883 * [backup-simplify]: Simplify (- 1) into -1 16.884 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.884 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.884 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.885 * [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))))) 16.885 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.885 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.885 * [taylor]: Taking taylor expansion of 0.5 in n 16.885 * [backup-simplify]: Simplify 0.5 into 0.5 16.885 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.885 * [taylor]: Taking taylor expansion of 1.0 in n 16.885 * [backup-simplify]: Simplify 1.0 into 1.0 16.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.885 * [taylor]: Taking taylor expansion of k in n 16.885 * [backup-simplify]: Simplify k into k 16.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.885 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.885 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.885 * [taylor]: Taking taylor expansion of 2.0 in n 16.885 * [backup-simplify]: Simplify 2.0 into 2.0 16.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.885 * [taylor]: Taking taylor expansion of PI in n 16.885 * [backup-simplify]: Simplify PI into PI 16.885 * [taylor]: Taking taylor expansion of n in n 16.885 * [backup-simplify]: Simplify 0 into 0 16.885 * [backup-simplify]: Simplify 1 into 1 16.886 * [backup-simplify]: Simplify (/ PI 1) into PI 16.886 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.887 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.888 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.888 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.888 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.891 * [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)))) 16.892 * [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))))) 16.892 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.892 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.892 * [taylor]: Taking taylor expansion of 0.5 in n 16.892 * [backup-simplify]: Simplify 0.5 into 0.5 16.892 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.892 * [taylor]: Taking taylor expansion of 1.0 in n 16.892 * [backup-simplify]: Simplify 1.0 into 1.0 16.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.893 * [taylor]: Taking taylor expansion of k in n 16.893 * [backup-simplify]: Simplify k into k 16.893 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.893 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.893 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.893 * [taylor]: Taking taylor expansion of 2.0 in n 16.893 * [backup-simplify]: Simplify 2.0 into 2.0 16.893 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.893 * [taylor]: Taking taylor expansion of PI in n 16.893 * [backup-simplify]: Simplify PI into PI 16.893 * [taylor]: Taking taylor expansion of n in n 16.893 * [backup-simplify]: Simplify 0 into 0 16.893 * [backup-simplify]: Simplify 1 into 1 16.893 * [backup-simplify]: Simplify (/ PI 1) into PI 16.894 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.895 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.895 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.895 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.896 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.898 * [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)))) 16.900 * [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))))) 16.900 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.900 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.900 * [taylor]: Taking taylor expansion of 0.5 in k 16.900 * [backup-simplify]: Simplify 0.5 into 0.5 16.900 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.900 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.900 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.900 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.900 * [taylor]: Taking taylor expansion of 2.0 in k 16.900 * [backup-simplify]: Simplify 2.0 into 2.0 16.900 * [taylor]: Taking taylor expansion of PI in k 16.900 * [backup-simplify]: Simplify PI into PI 16.901 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.902 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.902 * [taylor]: Taking taylor expansion of (log n) in k 16.902 * [taylor]: Taking taylor expansion of n in k 16.902 * [backup-simplify]: Simplify n into n 16.902 * [backup-simplify]: Simplify (log n) into (log n) 16.902 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.902 * [taylor]: Taking taylor expansion of 1.0 in k 16.902 * [backup-simplify]: Simplify 1.0 into 1.0 16.902 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.902 * [taylor]: Taking taylor expansion of k in k 16.902 * [backup-simplify]: Simplify 0 into 0 16.902 * [backup-simplify]: Simplify 1 into 1 16.903 * [backup-simplify]: Simplify (/ 1 1) into 1 16.903 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.904 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.904 * [backup-simplify]: Simplify (- 1) into -1 16.905 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.906 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.907 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.909 * [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))))) 16.910 * [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))))) 16.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.914 * [backup-simplify]: Simplify (- 0) into 0 16.915 * [backup-simplify]: Simplify (+ 0 0) into 0 16.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.917 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.918 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.921 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.921 * [taylor]: Taking taylor expansion of 0 in k 16.921 * [backup-simplify]: Simplify 0 into 0 16.921 * [backup-simplify]: Simplify 0 into 0 16.921 * [backup-simplify]: Simplify 0 into 0 16.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.923 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.927 * [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 16.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.928 * [backup-simplify]: Simplify (- 0) into 0 16.929 * [backup-simplify]: Simplify (+ 0 0) into 0 16.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.933 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.936 * [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 16.936 * [taylor]: Taking taylor expansion of 0 in k 16.936 * [backup-simplify]: Simplify 0 into 0 16.936 * [backup-simplify]: Simplify 0 into 0 16.936 * [backup-simplify]: Simplify 0 into 0 16.936 * [backup-simplify]: Simplify 0 into 0 16.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.939 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.946 * [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 16.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.946 * [backup-simplify]: Simplify (- 0) into 0 16.947 * [backup-simplify]: Simplify (+ 0 0) into 0 16.948 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.952 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.954 * [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 16.954 * [taylor]: Taking taylor expansion of 0 in k 16.954 * [backup-simplify]: Simplify 0 into 0 16.955 * [backup-simplify]: Simplify 0 into 0 16.964 * [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)))) 16.965 * [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))) 16.965 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.965 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.965 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.965 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.965 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.965 * [taylor]: Taking taylor expansion of 0.5 in k 16.965 * [backup-simplify]: Simplify 0.5 into 0.5 16.965 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.965 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.965 * [taylor]: Taking taylor expansion of k in k 16.965 * [backup-simplify]: Simplify 0 into 0 16.965 * [backup-simplify]: Simplify 1 into 1 16.966 * [backup-simplify]: Simplify (/ 1 1) into 1 16.966 * [taylor]: Taking taylor expansion of 1.0 in k 16.966 * [backup-simplify]: Simplify 1.0 into 1.0 16.966 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.966 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.966 * [taylor]: Taking taylor expansion of -2.0 in k 16.966 * [backup-simplify]: Simplify -2.0 into -2.0 16.966 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.966 * [taylor]: Taking taylor expansion of PI in k 16.966 * [backup-simplify]: Simplify PI into PI 16.966 * [taylor]: Taking taylor expansion of n in k 16.966 * [backup-simplify]: Simplify n into n 16.966 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.966 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.967 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.967 * [backup-simplify]: Simplify (+ 1 0) into 1 16.968 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.968 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 16.968 * [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)))))) 16.968 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.968 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.968 * [taylor]: Taking taylor expansion of 0.5 in n 16.968 * [backup-simplify]: Simplify 0.5 into 0.5 16.968 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.968 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.968 * [taylor]: Taking taylor expansion of k in n 16.968 * [backup-simplify]: Simplify k into k 16.968 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.968 * [taylor]: Taking taylor expansion of 1.0 in n 16.968 * [backup-simplify]: Simplify 1.0 into 1.0 16.968 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.968 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.969 * [taylor]: Taking taylor expansion of -2.0 in n 16.969 * [backup-simplify]: Simplify -2.0 into -2.0 16.969 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.969 * [taylor]: Taking taylor expansion of PI in n 16.969 * [backup-simplify]: Simplify PI into PI 16.969 * [taylor]: Taking taylor expansion of n in n 16.969 * [backup-simplify]: Simplify 0 into 0 16.969 * [backup-simplify]: Simplify 1 into 1 16.969 * [backup-simplify]: Simplify (/ PI 1) into PI 16.970 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.971 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.971 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.971 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.973 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.974 * [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)))) 16.975 * [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))))) 16.975 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.976 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.976 * [taylor]: Taking taylor expansion of 0.5 in n 16.976 * [backup-simplify]: Simplify 0.5 into 0.5 16.976 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.976 * [taylor]: Taking taylor expansion of k in n 16.976 * [backup-simplify]: Simplify k into k 16.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.976 * [taylor]: Taking taylor expansion of 1.0 in n 16.976 * [backup-simplify]: Simplify 1.0 into 1.0 16.976 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.976 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.976 * [taylor]: Taking taylor expansion of -2.0 in n 16.976 * [backup-simplify]: Simplify -2.0 into -2.0 16.976 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.976 * [taylor]: Taking taylor expansion of PI in n 16.976 * [backup-simplify]: Simplify PI into PI 16.976 * [taylor]: Taking taylor expansion of n in n 16.976 * [backup-simplify]: Simplify 0 into 0 16.976 * [backup-simplify]: Simplify 1 into 1 16.977 * [backup-simplify]: Simplify (/ PI 1) into PI 16.977 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.979 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.979 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.979 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.982 * [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)))) 16.983 * [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))))) 16.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 16.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 16.983 * [taylor]: Taking taylor expansion of 0.5 in k 16.983 * [backup-simplify]: Simplify 0.5 into 0.5 16.983 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 16.983 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.983 * [taylor]: Taking taylor expansion of k in k 16.984 * [backup-simplify]: Simplify 0 into 0 16.984 * [backup-simplify]: Simplify 1 into 1 16.984 * [backup-simplify]: Simplify (/ 1 1) into 1 16.984 * [taylor]: Taking taylor expansion of 1.0 in k 16.984 * [backup-simplify]: Simplify 1.0 into 1.0 16.984 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.984 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.984 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.984 * [taylor]: Taking taylor expansion of -2.0 in k 16.984 * [backup-simplify]: Simplify -2.0 into -2.0 16.984 * [taylor]: Taking taylor expansion of PI in k 16.984 * [backup-simplify]: Simplify PI into PI 16.985 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.986 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.986 * [taylor]: Taking taylor expansion of (log n) in k 16.986 * [taylor]: Taking taylor expansion of n in k 16.986 * [backup-simplify]: Simplify n into n 16.986 * [backup-simplify]: Simplify (log n) into (log n) 16.987 * [backup-simplify]: Simplify (+ 1 0) into 1 16.987 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.988 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.990 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 16.991 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 16.992 * [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))))) 16.993 * [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))))) 16.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.995 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.997 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.997 * [backup-simplify]: Simplify (+ 0 0) into 0 16.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.000 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 17.002 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.002 * [taylor]: Taking taylor expansion of 0 in k 17.002 * [backup-simplify]: Simplify 0 into 0 17.002 * [backup-simplify]: Simplify 0 into 0 17.002 * [backup-simplify]: Simplify 0 into 0 17.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.004 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.008 * [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 17.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.008 * [backup-simplify]: Simplify (+ 0 0) into 0 17.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 17.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.012 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 17.015 * [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 17.015 * [taylor]: Taking taylor expansion of 0 in k 17.015 * [backup-simplify]: Simplify 0 into 0 17.015 * [backup-simplify]: Simplify 0 into 0 17.015 * [backup-simplify]: Simplify 0 into 0 17.015 * [backup-simplify]: Simplify 0 into 0 17.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.017 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.023 * [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 17.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.024 * [backup-simplify]: Simplify (+ 0 0) into 0 17.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 17.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.028 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 17.031 * [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 17.031 * [taylor]: Taking taylor expansion of 0 in k 17.031 * [backup-simplify]: Simplify 0 into 0 17.031 * [backup-simplify]: Simplify 0 into 0 17.033 * [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)))))) 17.033 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 17.033 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 17.033 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 17.033 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.033 * [taylor]: Taking taylor expansion of 1.0 in k 17.033 * [backup-simplify]: Simplify 1.0 into 1.0 17.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.033 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.033 * [taylor]: Taking taylor expansion of k in k 17.033 * [backup-simplify]: Simplify 0 into 0 17.033 * [backup-simplify]: Simplify 1 into 1 17.034 * [backup-simplify]: Simplify (/ 1 1) into 1 17.035 * [backup-simplify]: Simplify (sqrt 0) into 0 17.036 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.036 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.036 * [taylor]: Taking taylor expansion of 1.0 in k 17.036 * [backup-simplify]: Simplify 1.0 into 1.0 17.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.036 * [taylor]: Taking taylor expansion of k in k 17.036 * [backup-simplify]: Simplify 0 into 0 17.036 * [backup-simplify]: Simplify 1 into 1 17.037 * [backup-simplify]: Simplify (/ 1 1) into 1 17.037 * [backup-simplify]: Simplify (sqrt 0) into 0 17.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.039 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.039 * [backup-simplify]: Simplify 0 into 0 17.040 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.041 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.047 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.049 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.050 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.056 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.057 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.058 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 17.058 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 17.059 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 17.059 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.059 * [taylor]: Taking taylor expansion of 1.0 in k 17.059 * [backup-simplify]: Simplify 1.0 into 1.0 17.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.059 * [taylor]: Taking taylor expansion of k in k 17.059 * [backup-simplify]: Simplify 0 into 0 17.059 * [backup-simplify]: Simplify 1 into 1 17.059 * [backup-simplify]: Simplify (sqrt 0) into 0 17.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.061 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.061 * [taylor]: Taking taylor expansion of 1.0 in k 17.061 * [backup-simplify]: Simplify 1.0 into 1.0 17.061 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.061 * [taylor]: Taking taylor expansion of k in k 17.061 * [backup-simplify]: Simplify 0 into 0 17.061 * [backup-simplify]: Simplify 1 into 1 17.061 * [backup-simplify]: Simplify (sqrt 0) into 0 17.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.063 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.063 * [backup-simplify]: Simplify 0 into 0 17.064 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.065 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.068 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.069 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.076 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.078 * [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)))))))) 17.078 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 17.078 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 17.078 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.078 * [taylor]: Taking taylor expansion of 1.0 in k 17.078 * [backup-simplify]: Simplify 1.0 into 1.0 17.078 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.078 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.078 * [taylor]: Taking taylor expansion of -1 in k 17.078 * [backup-simplify]: Simplify -1 into -1 17.078 * [taylor]: Taking taylor expansion of k in k 17.078 * [backup-simplify]: Simplify 0 into 0 17.078 * [backup-simplify]: Simplify 1 into 1 17.079 * [backup-simplify]: Simplify (/ -1 1) into -1 17.079 * [backup-simplify]: Simplify (sqrt 0) into 0 17.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.081 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.081 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.081 * [taylor]: Taking taylor expansion of 1.0 in k 17.081 * [backup-simplify]: Simplify 1.0 into 1.0 17.081 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.081 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.081 * [taylor]: Taking taylor expansion of -1 in k 17.081 * [backup-simplify]: Simplify -1 into -1 17.081 * [taylor]: Taking taylor expansion of k in k 17.081 * [backup-simplify]: Simplify 0 into 0 17.081 * [backup-simplify]: Simplify 1 into 1 17.082 * [backup-simplify]: Simplify (/ -1 1) into -1 17.082 * [backup-simplify]: Simplify (sqrt 0) into 0 17.083 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.084 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.088 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.090 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.091 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.095 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.100 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.100 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.102 * [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))))) 17.102 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 17.102 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 17.102 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 17.102 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 17.102 * [taylor]: Taking taylor expansion of 1.0 in k 17.102 * [backup-simplify]: Simplify 1.0 into 1.0 17.102 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 17.102 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 17.102 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 17.102 * [taylor]: Taking taylor expansion of 1/4 in k 17.102 * [backup-simplify]: Simplify 1/4 into 1/4 17.102 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.102 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.102 * [taylor]: Taking taylor expansion of k in k 17.102 * [backup-simplify]: Simplify 0 into 0 17.102 * [backup-simplify]: Simplify 1 into 1 17.103 * [backup-simplify]: Simplify (/ 1 1) into 1 17.103 * [backup-simplify]: Simplify (log 1) into 0 17.104 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.104 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 17.104 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 17.104 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 17.104 * [taylor]: Taking taylor expansion of 1.0 in k 17.104 * [backup-simplify]: Simplify 1.0 into 1.0 17.104 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 17.104 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 17.104 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 17.104 * [taylor]: Taking taylor expansion of 1/4 in k 17.104 * [backup-simplify]: Simplify 1/4 into 1/4 17.104 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 17.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.104 * [taylor]: Taking taylor expansion of k in k 17.104 * [backup-simplify]: Simplify 0 into 0 17.104 * [backup-simplify]: Simplify 1 into 1 17.104 * [backup-simplify]: Simplify (/ 1 1) into 1 17.105 * [backup-simplify]: Simplify (log 1) into 0 17.105 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.105 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 17.106 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 17.106 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.106 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.108 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.109 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.118 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 17.119 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 17.120 * [backup-simplify]: Simplify 0 into 0 17.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.124 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.125 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.126 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 17.127 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.128 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 17.128 * [backup-simplify]: Simplify 0 into 0 17.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.133 * [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 17.134 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.135 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 17.135 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.136 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 17.136 * [backup-simplify]: Simplify 0 into 0 17.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.142 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.143 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 17.145 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.146 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 17.146 * [backup-simplify]: Simplify 0 into 0 17.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.157 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.157 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.158 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 17.160 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.162 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 17.162 * [backup-simplify]: Simplify 0 into 0 17.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.193 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.193 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 17.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 17.202 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 17.204 * [backup-simplify]: Simplify 0 into 0 17.205 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.205 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 17.205 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 17.205 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 17.205 * [taylor]: Taking taylor expansion of 1.0 in k 17.205 * [backup-simplify]: Simplify 1.0 into 1.0 17.205 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 17.205 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 17.205 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 17.205 * [taylor]: Taking taylor expansion of 1/4 in k 17.205 * [backup-simplify]: Simplify 1/4 into 1/4 17.205 * [taylor]: Taking taylor expansion of (log k) in k 17.205 * [taylor]: Taking taylor expansion of k in k 17.205 * [backup-simplify]: Simplify 0 into 0 17.205 * [backup-simplify]: Simplify 1 into 1 17.205 * [backup-simplify]: Simplify (log 1) into 0 17.205 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.206 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 17.206 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 17.206 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 17.206 * [taylor]: Taking taylor expansion of 1.0 in k 17.206 * [backup-simplify]: Simplify 1.0 into 1.0 17.206 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 17.206 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 17.206 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 17.206 * [taylor]: Taking taylor expansion of 1/4 in k 17.206 * [backup-simplify]: Simplify 1/4 into 1/4 17.206 * [taylor]: Taking taylor expansion of (log k) in k 17.206 * [taylor]: Taking taylor expansion of k in k 17.206 * [backup-simplify]: Simplify 0 into 0 17.206 * [backup-simplify]: Simplify 1 into 1 17.206 * [backup-simplify]: Simplify (log 1) into 0 17.206 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.206 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 17.206 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 17.207 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 17.207 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 17.207 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.208 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 17.208 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 17.209 * [backup-simplify]: Simplify 0 into 0 17.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.211 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 17.212 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.213 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 17.213 * [backup-simplify]: Simplify 0 into 0 17.215 * [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 17.216 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.216 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 17.217 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.218 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 17.218 * [backup-simplify]: Simplify 0 into 0 17.224 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.224 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 17.227 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.234 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 17.234 * [backup-simplify]: Simplify 0 into 0 17.250 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.251 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 17.257 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.259 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 17.259 * [backup-simplify]: Simplify 0 into 0 17.291 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.292 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.294 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 17.300 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.303 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 17.303 * [backup-simplify]: Simplify 0 into 0 17.303 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 17.304 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 17.304 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 17.304 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 17.304 * [taylor]: Taking taylor expansion of 1.0 in k 17.304 * [backup-simplify]: Simplify 1.0 into 1.0 17.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 17.304 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 17.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.304 * [taylor]: Taking taylor expansion of -1 in k 17.304 * [backup-simplify]: Simplify -1 into -1 17.304 * [taylor]: Taking taylor expansion of k in k 17.304 * [backup-simplify]: Simplify 0 into 0 17.304 * [backup-simplify]: Simplify 1 into 1 17.304 * [backup-simplify]: Simplify (/ -1 1) into -1 17.305 * [backup-simplify]: Simplify (sqrt 0) into 0 17.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.307 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 17.307 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 17.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.311 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.313 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.315 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 17.315 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 17.315 * [taylor]: Taking taylor expansion of 1.0 in k 17.315 * [backup-simplify]: Simplify 1.0 into 1.0 17.315 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 17.315 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 17.315 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.315 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.315 * [taylor]: Taking taylor expansion of -1 in k 17.315 * [backup-simplify]: Simplify -1 into -1 17.315 * [taylor]: Taking taylor expansion of k in k 17.315 * [backup-simplify]: Simplify 0 into 0 17.315 * [backup-simplify]: Simplify 1 into 1 17.316 * [backup-simplify]: Simplify (/ -1 1) into -1 17.316 * [backup-simplify]: Simplify (sqrt 0) into 0 17.317 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.318 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 17.318 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 17.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.322 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.324 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.326 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 17.327 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 17.328 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 17.331 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 17.333 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 17.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.342 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.347 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 17.361 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 17.370 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 17.392 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 17.392 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 17.392 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 17.392 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 17.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 17.392 * [taylor]: Taking taylor expansion of 2.0 in n 17.392 * [backup-simplify]: Simplify 2.0 into 2.0 17.393 * [taylor]: Taking taylor expansion of (* n PI) in n 17.393 * [taylor]: Taking taylor expansion of n in n 17.393 * [backup-simplify]: Simplify 0 into 0 17.393 * [backup-simplify]: Simplify 1 into 1 17.393 * [taylor]: Taking taylor expansion of PI in n 17.393 * [backup-simplify]: Simplify PI into PI 17.393 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 17.393 * [taylor]: Taking taylor expansion of 2.0 in n 17.393 * [backup-simplify]: Simplify 2.0 into 2.0 17.393 * [taylor]: Taking taylor expansion of (* n PI) in n 17.393 * [taylor]: Taking taylor expansion of n in n 17.393 * [backup-simplify]: Simplify 0 into 0 17.393 * [backup-simplify]: Simplify 1 into 1 17.393 * [taylor]: Taking taylor expansion of PI in n 17.393 * [backup-simplify]: Simplify PI into PI 17.393 * [backup-simplify]: Simplify (* 0 PI) into 0 17.394 * [backup-simplify]: Simplify (* 2.0 0) into 0 17.394 * [backup-simplify]: Simplify 0 into 0 17.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.397 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 17.398 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.400 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 17.400 * [backup-simplify]: Simplify 0 into 0 17.401 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.403 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.403 * [backup-simplify]: Simplify 0 into 0 17.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.405 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.406 * [backup-simplify]: Simplify 0 into 0 17.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 17.408 * [backup-simplify]: Simplify 0 into 0 17.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.412 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 17.412 * [backup-simplify]: Simplify 0 into 0 17.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 17.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 17.416 * [backup-simplify]: Simplify 0 into 0 17.416 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 17.417 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 17.417 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 17.417 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.417 * [taylor]: Taking taylor expansion of 2.0 in n 17.417 * [backup-simplify]: Simplify 2.0 into 2.0 17.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.417 * [taylor]: Taking taylor expansion of PI in n 17.417 * [backup-simplify]: Simplify PI into PI 17.417 * [taylor]: Taking taylor expansion of n in n 17.417 * [backup-simplify]: Simplify 0 into 0 17.417 * [backup-simplify]: Simplify 1 into 1 17.418 * [backup-simplify]: Simplify (/ PI 1) into PI 17.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 17.418 * [taylor]: Taking taylor expansion of 2.0 in n 17.418 * [backup-simplify]: Simplify 2.0 into 2.0 17.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.418 * [taylor]: Taking taylor expansion of PI in n 17.418 * [backup-simplify]: Simplify PI into PI 17.418 * [taylor]: Taking taylor expansion of n in n 17.418 * [backup-simplify]: Simplify 0 into 0 17.418 * [backup-simplify]: Simplify 1 into 1 17.419 * [backup-simplify]: Simplify (/ PI 1) into PI 17.420 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.420 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.422 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.422 * [backup-simplify]: Simplify 0 into 0 17.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.424 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.424 * [backup-simplify]: Simplify 0 into 0 17.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.426 * [backup-simplify]: Simplify 0 into 0 17.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.429 * [backup-simplify]: Simplify 0 into 0 17.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.432 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.432 * [backup-simplify]: Simplify 0 into 0 17.433 * [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 17.435 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.435 * [backup-simplify]: Simplify 0 into 0 17.435 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 17.436 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 17.436 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 17.436 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.436 * [taylor]: Taking taylor expansion of -2.0 in n 17.436 * [backup-simplify]: Simplify -2.0 into -2.0 17.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.436 * [taylor]: Taking taylor expansion of PI in n 17.436 * [backup-simplify]: Simplify PI into PI 17.436 * [taylor]: Taking taylor expansion of n in n 17.436 * [backup-simplify]: Simplify 0 into 0 17.436 * [backup-simplify]: Simplify 1 into 1 17.437 * [backup-simplify]: Simplify (/ PI 1) into PI 17.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.437 * [taylor]: Taking taylor expansion of -2.0 in n 17.437 * [backup-simplify]: Simplify -2.0 into -2.0 17.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.437 * [taylor]: Taking taylor expansion of PI in n 17.437 * [backup-simplify]: Simplify PI into PI 17.437 * [taylor]: Taking taylor expansion of n in n 17.437 * [backup-simplify]: Simplify 0 into 0 17.437 * [backup-simplify]: Simplify 1 into 1 17.438 * [backup-simplify]: Simplify (/ PI 1) into PI 17.438 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.439 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.441 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 17.441 * [backup-simplify]: Simplify 0 into 0 17.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.443 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.443 * [backup-simplify]: Simplify 0 into 0 17.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.445 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.445 * [backup-simplify]: Simplify 0 into 0 17.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.448 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.448 * [backup-simplify]: Simplify 0 into 0 17.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.451 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 17.451 * [backup-simplify]: Simplify 0 into 0 17.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.454 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 17.454 * [backup-simplify]: Simplify 0 into 0 17.455 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 17.455 * * * [progress]: simplifying candidates 17.464 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) 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(log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 17.477 * * [simplify]: Extracting # 0 : cost 0 17.478 * * [simplify]: Extracting # 1 : cost 0 17.479 * * [simplify]: Extracting # 2 : cost 0 17.480 * * [simplify]: Extracting # 3 : cost 0 17.482 * * [simplify]: Extracting # 4 : cost 0 17.484 * * [simplify]: Extracting # 5 : cost 0 17.486 * * [simplify]: Extracting # 6 : cost 0 17.488 * * [simplify]: Extracting # 7 : cost 0 17.500 * * [simplify]: Extracting # 8 : cost 0 17.502 * * [simplify]: Extracting # 9 : cost 0 17.505 * * [simplify]: Extracting # 10 : cost 0 17.507 * * [simplify]: Extracting # 11 : cost 0 17.509 * * [simplify]: Extracting # 12 : cost 0 17.511 * * [simplify]: Extracting # 13 : cost 0 17.513 * * [simplify]: iteration 0 : 558 enodes (cost 8953 ) 17.867 * * [simplify]: Extracting # 0 : cost 0 17.872 * * [simplify]: Extracting # 1 : cost 0 17.876 * * [simplify]: Extracting # 2 : cost 0 17.879 * * [simplify]: Extracting # 3 : cost 0 17.882 * * [simplify]: Extracting # 4 : cost 0 17.886 * * [simplify]: iteration 1 : 1320 enodes (cost 7629 ) 18.518 * * [simplify]: Extracting # 0 : cost 0 18.521 * * [simplify]: Extracting # 1 : cost 0 18.525 * * [simplify]: Extracting # 2 : cost 0 18.529 * * [simplify]: Extracting # 3 : cost 0 18.533 * * [simplify]: Extracting # 4 : cost 0 18.540 * * [simplify]: Extracting # 5 : cost 0 18.554 * * [simplify]: iteration 2 : 3045 enodes (cost 7052 ) 19.734 * * [simplify]: Extracting # 0 : cost 0 19.742 * * [simplify]: Extracting # 1 : cost 0 19.751 * * [simplify]: Extracting # 2 : cost 0 19.757 * * [simplify]: Extracting # 3 : cost 0 19.762 * * [simplify]: Extracting # 4 : cost 0 19.776 * * [simplify]: iteration done: 5001 enodes (cost 6884 ) 19.783 * [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))) 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1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 3) (pow (* n (* 2.0 PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* n (* 2.0 PI)) 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) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* n (* 2.0 PI)) 0.5)) (* (pow (log n) 2) (pow (* n (* 2.0 PI)) 0.5)))) (- (+ (pow (* n (* 2.0 PI)) 0.5) (* (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))) (* (* 0.5 k) (+ (* (pow (* n (* 2.0 PI)) 0.5) (log (* 2.0 PI))) (* (pow (* n (* 2.0 PI)) 0.5) (log n)))))) (pow (pow (* n (* 2.0 PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) 19.790 * * * [progress]: adding candidates to table 21.241 * [progress]: [Phase 3 of 3] Extracting. 21.241 * * [regime]: Finding splitpoints for: (# # # # # # #) 21.243 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 21.243 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 21.295 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 21.361 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 21.400 * * * [regime]: Found split indices: #