51.907 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.198 * * * [progress]: [2/2] Setting up program. 0.201 * [progress]: [Phase 2 of 3] Improving. 0.201 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.201 * * [simplify]: Extracting # 0 : cost 0 0.201 * * [simplify]: Extracting # 1 : cost 0 0.201 * * [simplify]: Extracting # 2 : cost 0 0.201 * * [simplify]: Extracting # 3 : cost 0 0.201 * * [simplify]: Extracting # 4 : cost 0 0.201 * * [simplify]: Extracting # 5 : cost 0 0.201 * * [simplify]: Extracting # 6 : cost 0 0.201 * * [simplify]: Extracting # 7 : cost 0 0.201 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.208 * * [simplify]: Extracting # 0 : cost 0 0.208 * * [simplify]: Extracting # 1 : cost 0 0.208 * * [simplify]: Extracting # 2 : cost 0 0.208 * * [simplify]: Extracting # 3 : cost 0 0.208 * * [simplify]: Extracting # 4 : cost 0 0.208 * * [simplify]: Extracting # 5 : cost 0 0.208 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: Extracting # 1 : cost 0 0.221 * * [simplify]: Extracting # 2 : cost 0 0.221 * * [simplify]: Extracting # 3 : cost 0 0.221 * * [simplify]: Extracting # 4 : cost 0 0.221 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.246 * * [simplify]: Extracting # 0 : cost 0 0.247 * * [simplify]: Extracting # 1 : cost 0 0.247 * * [simplify]: Extracting # 2 : cost 0 0.247 * * [simplify]: Extracting # 3 : cost 0 0.247 * * [simplify]: Extracting # 4 : cost 0 0.248 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.284 * * [simplify]: Extracting # 0 : cost 0 0.285 * * [simplify]: Extracting # 1 : cost 0 0.285 * * [simplify]: Extracting # 2 : cost 0 0.285 * * [simplify]: Extracting # 3 : cost 0 0.286 * * [simplify]: Extracting # 4 : cost 0 0.286 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.520 * * [simplify]: Extracting # 0 : cost 0 0.521 * * [simplify]: Extracting # 1 : cost 0 0.522 * * [simplify]: Extracting # 2 : cost 0 0.523 * * [simplify]: Extracting # 3 : cost 0 0.523 * * [simplify]: Extracting # 4 : cost 0 0.524 * * [simplify]: iteration 5 : 843 enodes (cost 16 ) 2.092 * * [simplify]: Extracting # 0 : cost 0 2.095 * * [simplify]: Extracting # 1 : cost 0 2.098 * * [simplify]: Extracting # 2 : cost 0 2.101 * * [simplify]: Extracting # 3 : cost 0 2.104 * * [simplify]: Extracting # 4 : cost 0 2.107 * * [simplify]: iteration 6 : 3221 enodes (cost 16 ) 3.738 * * [simplify]: Extracting # 0 : cost 0 3.744 * * [simplify]: Extracting # 1 : cost 0 3.749 * * [simplify]: Extracting # 2 : cost 0 3.754 * * [simplify]: Extracting # 3 : cost 0 3.758 * * [simplify]: Extracting # 4 : cost 0 3.764 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.764 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.764 * * [progress]: iteration 1 / 4 3.764 * * * [progress]: picking best candidate 3.768 * * * * [pick]: Picked # 3.768 * * * [progress]: localizing error 3.799 * * * [progress]: generating rewritten candidates 3.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.857 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.870 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.969 * * * [progress]: generating series expansions 3.969 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.970 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.970 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.970 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.970 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.970 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.970 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.970 * [taylor]: Taking taylor expansion of 0.5 in k 3.970 * [backup-simplify]: Simplify 0.5 into 0.5 3.970 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.970 * [taylor]: Taking taylor expansion of 1.0 in k 3.971 * [backup-simplify]: Simplify 1.0 into 1.0 3.971 * [taylor]: Taking taylor expansion of k in k 3.971 * [backup-simplify]: Simplify 0 into 0 3.971 * [backup-simplify]: Simplify 1 into 1 3.971 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.971 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.971 * [taylor]: Taking taylor expansion of 2.0 in k 3.971 * [backup-simplify]: Simplify 2.0 into 2.0 3.971 * [taylor]: Taking taylor expansion of (* n PI) in k 3.971 * [taylor]: Taking taylor expansion of n in k 3.971 * [backup-simplify]: Simplify n into n 3.971 * [taylor]: Taking taylor expansion of PI in k 3.971 * [backup-simplify]: Simplify PI into PI 3.971 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.971 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.971 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.972 * [backup-simplify]: Simplify (- 0) into 0 3.972 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.973 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.973 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.973 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.973 * [taylor]: Taking taylor expansion of 0.5 in n 3.973 * [backup-simplify]: Simplify 0.5 into 0.5 3.973 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.973 * [taylor]: Taking taylor expansion of 1.0 in n 3.973 * [backup-simplify]: Simplify 1.0 into 1.0 3.974 * [taylor]: Taking taylor expansion of k in n 3.974 * [backup-simplify]: Simplify k into k 3.974 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.974 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.974 * [taylor]: Taking taylor expansion of 2.0 in n 3.974 * [backup-simplify]: Simplify 2.0 into 2.0 3.974 * [taylor]: Taking taylor expansion of (* n PI) in n 3.974 * [taylor]: Taking taylor expansion of n in n 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [taylor]: Taking taylor expansion of PI in n 3.974 * [backup-simplify]: Simplify PI into PI 3.974 * [backup-simplify]: Simplify (* 0 PI) into 0 3.975 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.978 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.980 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.980 * [backup-simplify]: Simplify (- k) into (- k) 3.980 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.980 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.981 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.983 * [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)))) 3.984 * [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))))) 3.984 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.984 * [taylor]: Taking taylor expansion of 0.5 in n 3.984 * [backup-simplify]: Simplify 0.5 into 0.5 3.984 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.984 * [taylor]: Taking taylor expansion of 1.0 in n 3.984 * [backup-simplify]: Simplify 1.0 into 1.0 3.984 * [taylor]: Taking taylor expansion of k in n 3.984 * [backup-simplify]: Simplify k into k 3.984 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.984 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.984 * [taylor]: Taking taylor expansion of 2.0 in n 3.984 * [backup-simplify]: Simplify 2.0 into 2.0 3.984 * [taylor]: Taking taylor expansion of (* n PI) in n 3.985 * [taylor]: Taking taylor expansion of n in n 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [taylor]: Taking taylor expansion of PI in n 3.985 * [backup-simplify]: Simplify PI into PI 3.985 * [backup-simplify]: Simplify (* 0 PI) into 0 3.986 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.989 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.990 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.990 * [backup-simplify]: Simplify (- k) into (- k) 3.990 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.990 * [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 3.995 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.995 * [taylor]: Taking taylor expansion of 1.0 in k 3.995 * [backup-simplify]: Simplify 1.0 into 1.0 3.995 * [taylor]: Taking taylor expansion of k in k 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.995 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.995 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.995 * [taylor]: Taking taylor expansion of 2.0 in k 3.995 * [backup-simplify]: Simplify 2.0 into 2.0 3.995 * [taylor]: Taking taylor expansion of PI in k 3.995 * [backup-simplify]: Simplify PI into PI 3.995 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.997 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.997 * [taylor]: Taking taylor expansion of (log n) in k 3.997 * [taylor]: Taking taylor expansion of n in k 3.997 * [backup-simplify]: Simplify n into n 3.997 * [backup-simplify]: Simplify (log n) into (log n) 3.997 * [backup-simplify]: Simplify (- 0) into 0 3.998 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.999 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.000 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.002 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.003 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.005 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.009 * [backup-simplify]: Simplify (- 0) into 0 4.010 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.012 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.013 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.015 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.015 * [taylor]: Taking taylor expansion of 0 in k 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.019 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.020 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (- 1) into -1 4.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.022 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.024 * [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)))) 4.028 * [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)))))) 4.031 * [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)))))) 4.032 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.033 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.035 * [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 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.036 * [backup-simplify]: Simplify (+ 0 0) into 0 4.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.038 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.039 * [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 4.040 * [taylor]: Taking taylor expansion of 0 in k 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.042 * [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 4.043 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.055 * [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)))))) 4.061 * [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)))))) 4.072 * [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)))))) 4.074 * [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)))) 4.074 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.074 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.074 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.074 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.074 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.074 * [taylor]: Taking taylor expansion of 0.5 in k 4.074 * [backup-simplify]: Simplify 0.5 into 0.5 4.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.074 * [taylor]: Taking taylor expansion of 1.0 in k 4.074 * [backup-simplify]: Simplify 1.0 into 1.0 4.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.074 * [taylor]: Taking taylor expansion of k in k 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.075 * [taylor]: Taking taylor expansion of 2.0 in k 4.075 * [backup-simplify]: Simplify 2.0 into 2.0 4.075 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.075 * [taylor]: Taking taylor expansion of PI in k 4.075 * [backup-simplify]: Simplify PI into PI 4.075 * [taylor]: Taking taylor expansion of n in k 4.075 * [backup-simplify]: Simplify n into n 4.075 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.076 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.076 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.076 * [backup-simplify]: Simplify (- 1) into -1 4.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.077 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.077 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.078 * [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))))) 4.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.078 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.078 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.078 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.078 * [taylor]: Taking taylor expansion of 0.5 in n 4.078 * [backup-simplify]: Simplify 0.5 into 0.5 4.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.078 * [taylor]: Taking taylor expansion of 1.0 in n 4.078 * [backup-simplify]: Simplify 1.0 into 1.0 4.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.078 * [taylor]: Taking taylor expansion of k in n 4.078 * [backup-simplify]: Simplify k into k 4.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.078 * [taylor]: Taking taylor expansion of 2.0 in n 4.078 * [backup-simplify]: Simplify 2.0 into 2.0 4.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.078 * [taylor]: Taking taylor expansion of PI in n 4.078 * [backup-simplify]: Simplify PI into PI 4.078 * [taylor]: Taking taylor expansion of n in n 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (/ PI 1) into PI 4.080 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.081 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.081 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.081 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.081 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.084 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.085 * [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))))) 4.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.086 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.086 * [taylor]: Taking taylor expansion of 0.5 in n 4.086 * [backup-simplify]: Simplify 0.5 into 0.5 4.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.086 * [taylor]: Taking taylor expansion of 1.0 in n 4.086 * [backup-simplify]: Simplify 1.0 into 1.0 4.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.086 * [taylor]: Taking taylor expansion of k in n 4.086 * [backup-simplify]: Simplify k into k 4.086 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.086 * [taylor]: Taking taylor expansion of 2.0 in n 4.086 * [backup-simplify]: Simplify 2.0 into 2.0 4.086 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.086 * [taylor]: Taking taylor expansion of PI in n 4.086 * [backup-simplify]: Simplify PI into PI 4.086 * [taylor]: Taking taylor expansion of n in n 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (/ PI 1) into PI 4.087 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.088 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.088 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.089 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.089 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.090 * [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)))) 4.091 * [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))))) 4.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.091 * [taylor]: Taking taylor expansion of 0.5 in k 4.091 * [backup-simplify]: Simplify 0.5 into 0.5 4.091 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.091 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.091 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.092 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.092 * [taylor]: Taking taylor expansion of 2.0 in k 4.092 * [backup-simplify]: Simplify 2.0 into 2.0 4.092 * [taylor]: Taking taylor expansion of PI in k 4.092 * [backup-simplify]: Simplify PI into PI 4.092 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.093 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.093 * [taylor]: Taking taylor expansion of (log n) in k 4.093 * [taylor]: Taking taylor expansion of n in k 4.093 * [backup-simplify]: Simplify n into n 4.093 * [backup-simplify]: Simplify (log n) into (log n) 4.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.093 * [taylor]: Taking taylor expansion of 1.0 in k 4.093 * [backup-simplify]: Simplify 1.0 into 1.0 4.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.093 * [taylor]: Taking taylor expansion of k in k 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (/ 1 1) into 1 4.093 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.094 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.094 * [backup-simplify]: Simplify (- 1) into -1 4.095 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.095 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.096 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.097 * [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))))) 4.098 * [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))))) 4.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.100 * [backup-simplify]: Simplify (- 0) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.102 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.104 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.104 * [taylor]: Taking taylor expansion of 0 in k 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.107 * [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 4.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.107 * [backup-simplify]: Simplify (- 0) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.110 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.112 * [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 4.112 * [taylor]: Taking taylor expansion of 0 in k 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.116 * [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 4.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.117 * [backup-simplify]: Simplify (- 0) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.120 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.123 * [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 4.123 * [taylor]: Taking taylor expansion of 0 in k 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.125 * [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)))) 4.126 * [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))) 4.126 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.126 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.126 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.126 * [taylor]: Taking taylor expansion of 0.5 in k 4.126 * [backup-simplify]: Simplify 0.5 into 0.5 4.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.126 * [taylor]: Taking taylor expansion of k in k 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.127 * [backup-simplify]: Simplify (/ 1 1) into 1 4.127 * [taylor]: Taking taylor expansion of 1.0 in k 4.127 * [backup-simplify]: Simplify 1.0 into 1.0 4.127 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.127 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.127 * [taylor]: Taking taylor expansion of -2.0 in k 4.127 * [backup-simplify]: Simplify -2.0 into -2.0 4.127 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.127 * [taylor]: Taking taylor expansion of PI in k 4.127 * [backup-simplify]: Simplify PI into PI 4.127 * [taylor]: Taking taylor expansion of n in k 4.127 * [backup-simplify]: Simplify n into n 4.127 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.127 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.127 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.128 * [backup-simplify]: Simplify (+ 1 0) into 1 4.128 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.128 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.129 * [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)))))) 4.129 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.129 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.129 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.129 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.129 * [taylor]: Taking taylor expansion of 0.5 in n 4.129 * [backup-simplify]: Simplify 0.5 into 0.5 4.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.129 * [taylor]: Taking taylor expansion of k in n 4.129 * [backup-simplify]: Simplify k into k 4.129 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.129 * [taylor]: Taking taylor expansion of 1.0 in n 4.129 * [backup-simplify]: Simplify 1.0 into 1.0 4.129 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.129 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.129 * [taylor]: Taking taylor expansion of -2.0 in n 4.129 * [backup-simplify]: Simplify -2.0 into -2.0 4.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.129 * [taylor]: Taking taylor expansion of PI in n 4.129 * [backup-simplify]: Simplify PI into PI 4.129 * [taylor]: Taking taylor expansion of n in n 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (/ PI 1) into PI 4.131 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.132 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.132 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.132 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.135 * [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)))) 4.136 * [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))))) 4.136 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.136 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.136 * [taylor]: Taking taylor expansion of 0.5 in n 4.136 * [backup-simplify]: Simplify 0.5 into 0.5 4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.136 * [taylor]: Taking taylor expansion of k in n 4.137 * [backup-simplify]: Simplify k into k 4.137 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.137 * [taylor]: Taking taylor expansion of 1.0 in n 4.137 * [backup-simplify]: Simplify 1.0 into 1.0 4.137 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.137 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.137 * [taylor]: Taking taylor expansion of -2.0 in n 4.137 * [backup-simplify]: Simplify -2.0 into -2.0 4.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.137 * [taylor]: Taking taylor expansion of PI in n 4.137 * [backup-simplify]: Simplify PI into PI 4.137 * [taylor]: Taking taylor expansion of n in n 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (/ PI 1) into PI 4.138 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.140 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.140 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.140 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.144 * [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)))) 4.145 * [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))))) 4.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.145 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.145 * [taylor]: Taking taylor expansion of 0.5 in k 4.145 * [backup-simplify]: Simplify 0.5 into 0.5 4.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.145 * [taylor]: Taking taylor expansion of k in k 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (/ 1 1) into 1 4.146 * [taylor]: Taking taylor expansion of 1.0 in k 4.146 * [backup-simplify]: Simplify 1.0 into 1.0 4.146 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.146 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.146 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.146 * [taylor]: Taking taylor expansion of -2.0 in k 4.146 * [backup-simplify]: Simplify -2.0 into -2.0 4.146 * [taylor]: Taking taylor expansion of PI in k 4.146 * [backup-simplify]: Simplify PI into PI 4.147 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.148 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.148 * [taylor]: Taking taylor expansion of (log n) in k 4.148 * [taylor]: Taking taylor expansion of n in k 4.148 * [backup-simplify]: Simplify n into n 4.148 * [backup-simplify]: Simplify (log n) into (log n) 4.148 * [backup-simplify]: Simplify (+ 1 0) into 1 4.148 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.150 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.151 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.152 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.153 * [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))))) 4.154 * [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))))) 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.159 * [backup-simplify]: Simplify (+ 0 0) into 0 4.159 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.161 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.162 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.164 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.165 * [taylor]: Taking taylor expansion of 0 in k 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 4.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.175 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.178 * [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 4.178 * [taylor]: Taking taylor expansion of 0 in k 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.190 * [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 4.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.191 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.196 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.199 * [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 4.199 * [taylor]: Taking taylor expansion of 0 in k 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.200 * [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)))))) 4.200 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.201 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.201 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.201 * [taylor]: Taking taylor expansion of 2.0 in n 4.201 * [backup-simplify]: Simplify 2.0 into 2.0 4.201 * [taylor]: Taking taylor expansion of (* n PI) in n 4.201 * [taylor]: Taking taylor expansion of n in n 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of PI in n 4.201 * [backup-simplify]: Simplify PI into PI 4.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.201 * [taylor]: Taking taylor expansion of 2.0 in n 4.201 * [backup-simplify]: Simplify 2.0 into 2.0 4.201 * [taylor]: Taking taylor expansion of (* n PI) in n 4.201 * [taylor]: Taking taylor expansion of n in n 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of PI in n 4.201 * [backup-simplify]: Simplify PI into PI 4.202 * [backup-simplify]: Simplify (* 0 PI) into 0 4.202 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.206 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.206 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.226 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.227 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.227 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.228 * [taylor]: Taking taylor expansion of 2.0 in n 4.228 * [backup-simplify]: Simplify 2.0 into 2.0 4.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.228 * [taylor]: Taking taylor expansion of PI in n 4.228 * [backup-simplify]: Simplify PI into PI 4.228 * [taylor]: Taking taylor expansion of n in n 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.228 * [backup-simplify]: Simplify (/ PI 1) into PI 4.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.228 * [taylor]: Taking taylor expansion of 2.0 in n 4.228 * [backup-simplify]: Simplify 2.0 into 2.0 4.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.228 * [taylor]: Taking taylor expansion of PI in n 4.228 * [backup-simplify]: Simplify PI into PI 4.228 * [taylor]: Taking taylor expansion of n in n 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.229 * [backup-simplify]: Simplify (/ PI 1) into PI 4.230 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.230 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.232 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.235 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.244 * [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 4.245 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.246 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.247 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.247 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.247 * [taylor]: Taking taylor expansion of -2.0 in n 4.247 * [backup-simplify]: Simplify -2.0 into -2.0 4.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.247 * [taylor]: Taking taylor expansion of PI in n 4.247 * [backup-simplify]: Simplify PI into PI 4.247 * [taylor]: Taking taylor expansion of n in n 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (/ PI 1) into PI 4.247 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.247 * [taylor]: Taking taylor expansion of -2.0 in n 4.247 * [backup-simplify]: Simplify -2.0 into -2.0 4.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.247 * [taylor]: Taking taylor expansion of PI in n 4.248 * [backup-simplify]: Simplify PI into PI 4.248 * [taylor]: Taking taylor expansion of n in n 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ PI 1) into PI 4.249 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.249 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.251 * [backup-simplify]: Simplify 0 into 0 4.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.253 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.261 * [backup-simplify]: Simplify 0 into 0 4.262 * [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 4.264 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.264 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.265 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.265 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.265 * [taylor]: Taking taylor expansion of 1.0 in k 4.265 * [backup-simplify]: Simplify 1.0 into 1.0 4.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.265 * [taylor]: Taking taylor expansion of k in k 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [backup-simplify]: Simplify (sqrt 0) into 0 4.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.267 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 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)) in k 4.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.267 * [taylor]: Taking taylor expansion of k in k 4.267 * [backup-simplify]: Simplify 0 into 0 4.267 * [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 4.270 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.272 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.274 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.275 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.276 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.280 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.280 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.281 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.281 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.281 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.282 * [taylor]: Taking taylor expansion of 1.0 in k 4.282 * [backup-simplify]: Simplify 1.0 into 1.0 4.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.282 * [taylor]: Taking taylor expansion of k in k 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (sqrt 0) into 0 4.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.283 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.283 * [taylor]: Taking taylor expansion of 1.0 in k 4.283 * [backup-simplify]: Simplify 1.0 into 1.0 4.283 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.283 * [taylor]: Taking taylor expansion of k in k 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.283 * [backup-simplify]: Simplify (sqrt 0) into 0 4.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.284 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.284 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.285 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.287 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.288 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.289 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.292 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.293 * [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)))))))) 4.294 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.294 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.294 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.294 * [taylor]: Taking taylor expansion of 1.0 in k 4.294 * [backup-simplify]: Simplify 1.0 into 1.0 4.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.294 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.294 * [taylor]: Taking taylor expansion of -1 in k 4.294 * [backup-simplify]: Simplify -1 into -1 4.294 * [taylor]: Taking taylor expansion of k in k 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (/ -1 1) into -1 4.294 * [backup-simplify]: Simplify (sqrt 0) into 0 4.295 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.295 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.295 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.295 * [taylor]: Taking taylor expansion of 1.0 in k 4.295 * [backup-simplify]: Simplify 1.0 into 1.0 4.295 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.295 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.295 * [taylor]: Taking taylor expansion of -1 in k 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of k in k 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (/ -1 1) into -1 4.296 * [backup-simplify]: Simplify (sqrt 0) into 0 4.297 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.297 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.297 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.301 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.301 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.308 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.308 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.310 * [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))))) 4.310 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.310 * [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))))) 4.311 * [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 4.311 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 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 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.311 * [taylor]: Taking taylor expansion of k in n 4.311 * [backup-simplify]: Simplify k into k 4.311 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.311 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.311 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) 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 (- 1.0 k) in n 4.311 * [taylor]: Taking taylor expansion of 1.0 in n 4.311 * [backup-simplify]: Simplify 1.0 into 1.0 4.312 * [taylor]: Taking taylor expansion of k in n 4.312 * [backup-simplify]: Simplify k into k 4.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.312 * [taylor]: Taking taylor expansion of 2.0 in n 4.312 * [backup-simplify]: Simplify 2.0 into 2.0 4.312 * [taylor]: Taking taylor expansion of (* n PI) in n 4.312 * [taylor]: Taking taylor expansion of n in n 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of PI in n 4.312 * [backup-simplify]: Simplify PI into PI 4.312 * [backup-simplify]: Simplify (* 0 PI) into 0 4.313 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.316 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.317 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.317 * [backup-simplify]: Simplify (- k) into (- k) 4.318 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.318 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.325 * [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)))) 4.326 * [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))))) 4.326 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.326 * [taylor]: Taking taylor expansion of 1.0 in k 4.326 * [backup-simplify]: Simplify 1.0 into 1.0 4.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.326 * [taylor]: Taking taylor expansion of k in k 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [backup-simplify]: Simplify (sqrt 0) into 0 4.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.328 * [taylor]: Taking taylor expansion of 0.5 in k 4.328 * [backup-simplify]: Simplify 0.5 into 0.5 4.328 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.328 * [taylor]: Taking taylor expansion of 1.0 in k 4.329 * [backup-simplify]: Simplify 1.0 into 1.0 4.329 * [taylor]: Taking taylor expansion of k in k 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.329 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.329 * [taylor]: Taking taylor expansion of 2.0 in k 4.329 * [backup-simplify]: Simplify 2.0 into 2.0 4.329 * [taylor]: Taking taylor expansion of (* n PI) in k 4.329 * [taylor]: Taking taylor expansion of n in k 4.329 * [backup-simplify]: Simplify n into n 4.329 * [taylor]: Taking taylor expansion of PI in k 4.329 * [backup-simplify]: Simplify PI into PI 4.329 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.329 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.329 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.329 * [backup-simplify]: Simplify (- 0) into 0 4.330 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.331 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.331 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.331 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.331 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.331 * [taylor]: Taking taylor expansion of 1.0 in k 4.331 * [backup-simplify]: Simplify 1.0 into 1.0 4.331 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.331 * [taylor]: Taking taylor expansion of k in k 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (/ 1 1) into 1 4.332 * [backup-simplify]: Simplify (sqrt 0) into 0 4.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.333 * [taylor]: Taking taylor expansion of 0.5 in k 4.333 * [backup-simplify]: Simplify 0.5 into 0.5 4.333 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.333 * [taylor]: Taking taylor expansion of 1.0 in k 4.334 * [backup-simplify]: Simplify 1.0 into 1.0 4.334 * [taylor]: Taking taylor expansion of k in k 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.334 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.334 * [taylor]: Taking taylor expansion of 2.0 in k 4.334 * [backup-simplify]: Simplify 2.0 into 2.0 4.334 * [taylor]: Taking taylor expansion of (* n PI) in k 4.334 * [taylor]: Taking taylor expansion of n in k 4.334 * [backup-simplify]: Simplify n into n 4.334 * [taylor]: Taking taylor expansion of PI in k 4.334 * [backup-simplify]: Simplify PI into PI 4.334 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.334 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.334 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.335 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.335 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.336 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.336 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.336 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.336 * [taylor]: Taking taylor expansion of 0 in n 4.336 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.338 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.338 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.339 * [backup-simplify]: Simplify (- 1) into -1 4.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.341 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.342 * [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))) 4.344 * [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))) 4.346 * [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))) 4.346 * [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 4.346 * [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 4.346 * [taylor]: Taking taylor expansion of +nan.0 in n 4.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.346 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.346 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.346 * [taylor]: Taking taylor expansion of 0.5 in n 4.346 * [backup-simplify]: Simplify 0.5 into 0.5 4.346 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.346 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.346 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.346 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.346 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.346 * [taylor]: Taking taylor expansion of 1.0 in n 4.346 * [backup-simplify]: Simplify 1.0 into 1.0 4.346 * [taylor]: Taking taylor expansion of (log PI) in n 4.346 * [taylor]: Taking taylor expansion of PI in n 4.346 * [backup-simplify]: Simplify PI into PI 4.347 * [backup-simplify]: Simplify (log PI) into (log PI) 4.348 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.349 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.349 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.349 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.350 * [taylor]: Taking taylor expansion of 1.0 in n 4.350 * [backup-simplify]: Simplify 1.0 into 1.0 4.350 * [taylor]: Taking taylor expansion of (log n) in n 4.350 * [taylor]: Taking taylor expansion of n in n 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [backup-simplify]: Simplify (log 1) into 0 4.350 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.351 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.351 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.351 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.351 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.351 * [taylor]: Taking taylor expansion of 1.0 in n 4.351 * [backup-simplify]: Simplify 1.0 into 1.0 4.351 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.351 * [taylor]: Taking taylor expansion of 2.0 in n 4.351 * [backup-simplify]: Simplify 2.0 into 2.0 4.351 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.352 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.354 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.354 * [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) 4.356 * [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) 4.357 * [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)) 4.359 * [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))) 4.360 * [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) 4.362 * [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)) 4.363 * [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))) 4.365 * [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))) 4.365 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.367 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.368 * [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 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.369 * [backup-simplify]: Simplify (+ 0 0) into 0 4.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.373 * [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))) 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.380 * [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)))))))) 4.386 * [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)))))))) 4.386 * [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 4.386 * [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 4.386 * [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 4.386 * [taylor]: Taking taylor expansion of +nan.0 in n 4.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.386 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.386 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.386 * [taylor]: Taking taylor expansion of 0.5 in n 4.386 * [backup-simplify]: Simplify 0.5 into 0.5 4.386 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.386 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.386 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.386 * [taylor]: Taking taylor expansion of 1.0 in n 4.386 * [backup-simplify]: Simplify 1.0 into 1.0 4.386 * [taylor]: Taking taylor expansion of (log PI) in n 4.386 * [taylor]: Taking taylor expansion of PI in n 4.386 * [backup-simplify]: Simplify PI into PI 4.387 * [backup-simplify]: Simplify (log PI) into (log PI) 4.388 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.390 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.390 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.390 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.390 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.390 * [taylor]: Taking taylor expansion of 1.0 in n 4.390 * [backup-simplify]: Simplify 1.0 into 1.0 4.390 * [taylor]: Taking taylor expansion of (log n) in n 4.390 * [taylor]: Taking taylor expansion of n in n 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 1 into 1 4.390 * [backup-simplify]: Simplify (log 1) into 0 4.391 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.391 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.391 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.391 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.391 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.391 * [taylor]: Taking taylor expansion of 1.0 in n 4.391 * [backup-simplify]: Simplify 1.0 into 1.0 4.391 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.391 * [taylor]: Taking taylor expansion of 2.0 in n 4.391 * [backup-simplify]: Simplify 2.0 into 2.0 4.392 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.393 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.394 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.395 * [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) 4.396 * [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) 4.398 * [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)) 4.399 * [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))) 4.401 * [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) 4.401 * [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 4.401 * [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 4.401 * [taylor]: Taking taylor expansion of +nan.0 in n 4.401 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.401 * [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 4.401 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.401 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.401 * [taylor]: Taking taylor expansion of 0.5 in n 4.401 * [backup-simplify]: Simplify 0.5 into 0.5 4.401 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.401 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.402 * [taylor]: Taking taylor expansion of 1.0 in n 4.402 * [backup-simplify]: Simplify 1.0 into 1.0 4.402 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.402 * [taylor]: Taking taylor expansion of 2.0 in n 4.402 * [backup-simplify]: Simplify 2.0 into 2.0 4.402 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.403 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.405 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.405 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.405 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.405 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) 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 PI) in n 4.405 * [taylor]: Taking taylor expansion of PI in n 4.405 * [backup-simplify]: Simplify PI into PI 4.406 * [backup-simplify]: Simplify (log PI) into (log PI) 4.407 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.408 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.408 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.408 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 n) in n 4.408 * [taylor]: Taking taylor expansion of n in n 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (log 1) into 0 4.409 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.409 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.409 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.410 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 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 (log (* 2.0 (* n PI))) in n 4.413 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.413 * [taylor]: Taking taylor expansion of 2.0 in n 4.413 * [backup-simplify]: Simplify 2.0 into 2.0 4.413 * [taylor]: Taking taylor expansion of (* n PI) in n 4.413 * [taylor]: Taking taylor expansion of n in n 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 1 into 1 4.413 * [taylor]: Taking taylor expansion of PI in n 4.413 * [backup-simplify]: Simplify PI into PI 4.414 * [backup-simplify]: Simplify (* 0 PI) into 0 4.414 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.415 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.416 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.416 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.417 * [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)) 4.418 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.420 * [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)) 4.422 * [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))) 4.423 * [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)))))) 4.427 * [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)))))))) 4.431 * [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)))))))) 4.435 * [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)))))))) 4.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.436 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.437 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.438 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.439 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.439 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.440 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.441 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.441 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.443 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.447 * [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 4.449 * [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 4.451 * [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 4.453 * [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 4.454 * [backup-simplify]: Simplify (- 0) into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.456 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.464 * [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 4.465 * [backup-simplify]: Simplify (- 0) into 0 4.465 * [backup-simplify]: Simplify (+ 0 0) into 0 4.467 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.469 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.471 * [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))) 4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.482 * [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)))))))) 4.489 * [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)))))))) 4.489 * [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 4.489 * [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 4.489 * [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 4.489 * [taylor]: Taking taylor expansion of +nan.0 in n 4.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.489 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.489 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.489 * [taylor]: Taking taylor expansion of 0.5 in n 4.489 * [backup-simplify]: Simplify 0.5 into 0.5 4.489 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.489 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.489 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.489 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.489 * [taylor]: Taking taylor expansion of 1.0 in n 4.489 * [backup-simplify]: Simplify 1.0 into 1.0 4.489 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.489 * [taylor]: Taking taylor expansion of 2.0 in n 4.489 * [backup-simplify]: Simplify 2.0 into 2.0 4.490 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.490 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.491 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.491 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.491 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.491 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.491 * [taylor]: Taking taylor expansion of 1.0 in n 4.491 * [backup-simplify]: Simplify 1.0 into 1.0 4.491 * [taylor]: Taking taylor expansion of (log n) in n 4.491 * [taylor]: Taking taylor expansion of n in n 4.491 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify 1 into 1 4.491 * [backup-simplify]: Simplify (log 1) into 0 4.492 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.492 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.492 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.492 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.492 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.492 * [taylor]: Taking taylor expansion of 1.0 in n 4.492 * [backup-simplify]: Simplify 1.0 into 1.0 4.492 * [taylor]: Taking taylor expansion of (log PI) in n 4.492 * [taylor]: Taking taylor expansion of PI in n 4.492 * [backup-simplify]: Simplify PI into PI 4.492 * [backup-simplify]: Simplify (log PI) into (log PI) 4.493 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.494 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.494 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.495 * [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) 4.496 * [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)) 4.497 * [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))) 4.498 * [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) 4.498 * [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 4.498 * [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 4.498 * [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 4.498 * [taylor]: Taking taylor expansion of +nan.0 in n 4.498 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.498 * [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 4.498 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.498 * [taylor]: Taking taylor expansion of 0.5 in n 4.498 * [backup-simplify]: Simplify 0.5 into 0.5 4.498 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.498 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.498 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.498 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.498 * [taylor]: Taking taylor expansion of 1.0 in n 4.498 * [backup-simplify]: Simplify 1.0 into 1.0 4.498 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.498 * [taylor]: Taking taylor expansion of 2.0 in n 4.498 * [backup-simplify]: Simplify 2.0 into 2.0 4.499 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.499 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.500 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.500 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.500 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.500 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.500 * [taylor]: Taking taylor expansion of 1.0 in n 4.500 * [backup-simplify]: Simplify 1.0 into 1.0 4.500 * [taylor]: Taking taylor expansion of (log PI) in n 4.500 * [taylor]: Taking taylor expansion of PI in n 4.500 * [backup-simplify]: Simplify PI into PI 4.501 * [backup-simplify]: Simplify (log PI) into (log PI) 4.501 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.502 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.502 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.502 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.502 * [taylor]: Taking taylor expansion of 1.0 in n 4.502 * [backup-simplify]: Simplify 1.0 into 1.0 4.502 * [taylor]: Taking taylor expansion of (log n) in n 4.502 * [taylor]: Taking taylor expansion of n in n 4.502 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify 1 into 1 4.503 * [backup-simplify]: Simplify (log 1) into 0 4.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.503 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.503 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.503 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.504 * [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) 4.505 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 4.506 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 4.507 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 4.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.507 * [taylor]: Taking taylor expansion of 2.0 in n 4.507 * [backup-simplify]: Simplify 2.0 into 2.0 4.507 * [taylor]: Taking taylor expansion of (* n PI) in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of PI in n 4.507 * [backup-simplify]: Simplify PI into PI 4.507 * [backup-simplify]: Simplify (* 0 PI) into 0 4.508 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.510 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.511 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.511 * [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 4.511 * [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 4.511 * [taylor]: Taking taylor expansion of +nan.0 in n 4.511 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.511 * [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 4.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.511 * [taylor]: Taking taylor expansion of 0.5 in n 4.511 * [backup-simplify]: Simplify 0.5 into 0.5 4.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.511 * [taylor]: Taking taylor expansion of 1.0 in n 4.511 * [backup-simplify]: Simplify 1.0 into 1.0 4.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.512 * [taylor]: Taking taylor expansion of 2.0 in n 4.512 * [backup-simplify]: Simplify 2.0 into 2.0 4.512 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.513 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.514 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.515 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.515 * [taylor]: Taking taylor expansion of 1.0 in n 4.515 * [backup-simplify]: Simplify 1.0 into 1.0 4.515 * [taylor]: Taking taylor expansion of (log PI) in n 4.515 * [taylor]: Taking taylor expansion of PI in n 4.515 * [backup-simplify]: Simplify PI into PI 4.515 * [backup-simplify]: Simplify (log PI) into (log PI) 4.516 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.518 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.518 * [taylor]: Taking taylor expansion of 1.0 in n 4.518 * [backup-simplify]: Simplify 1.0 into 1.0 4.518 * [taylor]: Taking taylor expansion of (log n) in n 4.518 * [taylor]: Taking taylor expansion of n in n 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [backup-simplify]: Simplify (log 1) into 0 4.519 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.519 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.519 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.520 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.521 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 4.522 * [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)) 4.524 * [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))) 4.525 * [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) 4.525 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.525 * [taylor]: Taking taylor expansion of 2.0 in n 4.525 * [backup-simplify]: Simplify 2.0 into 2.0 4.525 * [taylor]: Taking taylor expansion of (* n PI) in n 4.525 * [taylor]: Taking taylor expansion of n in n 4.525 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify 1 into 1 4.526 * [taylor]: Taking taylor expansion of PI in n 4.526 * [backup-simplify]: Simplify PI into PI 4.526 * [backup-simplify]: Simplify (* 0 PI) into 0 4.527 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.528 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.530 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.531 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.533 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.535 * [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)) 4.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.539 * [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)) 4.542 * [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))) 4.543 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.545 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.547 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.550 * [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)) 4.552 * [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))) 4.556 * [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)))))))) 4.563 * [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)))))))))))) 4.572 * [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)))))))))))) 4.582 * [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)))))))))))))) 4.604 * [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)))))))))))))) 4.622 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (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)))))))))))))) 4.650 * [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)))))))))))))))))))))) 4.651 * [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)))))) 4.651 * [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 4.651 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.651 * [taylor]: Taking taylor expansion of 1.0 in n 4.651 * [backup-simplify]: Simplify 1.0 into 1.0 4.651 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.652 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.652 * [taylor]: Taking taylor expansion of k in n 4.652 * [backup-simplify]: Simplify k into k 4.652 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.652 * [taylor]: Taking taylor expansion of 0.5 in n 4.652 * [backup-simplify]: Simplify 0.5 into 0.5 4.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.652 * [taylor]: Taking taylor expansion of 1.0 in n 4.652 * [backup-simplify]: Simplify 1.0 into 1.0 4.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.652 * [taylor]: Taking taylor expansion of k in n 4.652 * [backup-simplify]: Simplify k into k 4.652 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.652 * [taylor]: Taking taylor expansion of 2.0 in n 4.652 * [backup-simplify]: Simplify 2.0 into 2.0 4.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.652 * [taylor]: Taking taylor expansion of PI in n 4.652 * [backup-simplify]: Simplify PI into PI 4.652 * [taylor]: Taking taylor expansion of n in n 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (/ PI 1) into PI 4.654 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.655 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.655 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.655 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.655 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.658 * [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)))) 4.659 * [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))))) 4.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.660 * [taylor]: Taking taylor expansion of 1.0 in k 4.660 * [backup-simplify]: Simplify 1.0 into 1.0 4.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.660 * [taylor]: Taking taylor expansion of k in k 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (sqrt 0) into 0 4.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.662 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.662 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.662 * [taylor]: Taking taylor expansion of 0.5 in k 4.662 * [backup-simplify]: Simplify 0.5 into 0.5 4.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.662 * [taylor]: Taking taylor expansion of 1.0 in k 4.662 * [backup-simplify]: Simplify 1.0 into 1.0 4.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.662 * [taylor]: Taking taylor expansion of k in k 4.662 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (/ 1 1) into 1 4.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.663 * [taylor]: Taking taylor expansion of 2.0 in k 4.663 * [backup-simplify]: Simplify 2.0 into 2.0 4.663 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.663 * [taylor]: Taking taylor expansion of PI in k 4.663 * [backup-simplify]: Simplify PI into PI 4.663 * [taylor]: Taking taylor expansion of n in k 4.663 * [backup-simplify]: Simplify n into n 4.663 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.663 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.663 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.664 * [backup-simplify]: Simplify (- 1) into -1 4.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.665 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.665 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.665 * [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))))) 4.665 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 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 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.665 * [taylor]: Taking taylor expansion of (sqrt 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 4.666 * [backup-simplify]: Simplify (sqrt 0) into 0 4.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.667 * [taylor]: Taking taylor expansion of 0.5 in k 4.667 * [backup-simplify]: Simplify 0.5 into 0.5 4.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.667 * [taylor]: Taking taylor expansion of 1.0 in k 4.667 * [backup-simplify]: Simplify 1.0 into 1.0 4.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.667 * [taylor]: Taking taylor expansion of k in k 4.667 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (/ 1 1) into 1 4.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.668 * [taylor]: Taking taylor expansion of 2.0 in k 4.668 * [backup-simplify]: Simplify 2.0 into 2.0 4.668 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.668 * [taylor]: Taking taylor expansion of PI in k 4.668 * [backup-simplify]: Simplify PI into PI 4.668 * [taylor]: Taking taylor expansion of n in k 4.668 * [backup-simplify]: Simplify n into n 4.668 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.668 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.669 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.669 * [backup-simplify]: Simplify (- 1) into -1 4.669 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.670 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.670 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.670 * [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))))) 4.671 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.671 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.671 * [taylor]: Taking taylor expansion of 0 in n 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.672 * [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))))))) 4.673 * [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))))))) 4.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.673 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.673 * [taylor]: Taking taylor expansion of +nan.0 in n 4.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.673 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.673 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.673 * [taylor]: Taking taylor expansion of 0.5 in n 4.673 * [backup-simplify]: Simplify 0.5 into 0.5 4.673 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.673 * [taylor]: Taking taylor expansion of 2.0 in n 4.673 * [backup-simplify]: Simplify 2.0 into 2.0 4.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.673 * [taylor]: Taking taylor expansion of PI in n 4.673 * [backup-simplify]: Simplify PI into PI 4.674 * [taylor]: Taking taylor expansion of n in n 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [backup-simplify]: Simplify (/ PI 1) into PI 4.675 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.676 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.676 * [taylor]: Taking taylor expansion of 1.0 in n 4.676 * [backup-simplify]: Simplify 1.0 into 1.0 4.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.676 * [taylor]: Taking taylor expansion of k in n 4.676 * [backup-simplify]: Simplify k into k 4.676 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.678 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.678 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.678 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.679 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.680 * [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)))) 4.682 * [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))))) 4.683 * [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)))))) 4.685 * [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))))))) 4.686 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.686 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.691 * [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))))))) 4.692 * [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))))))) 4.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.692 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.692 * [taylor]: Taking taylor expansion of +nan.0 in n 4.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.692 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.692 * [taylor]: Taking taylor expansion of 0.5 in n 4.692 * [backup-simplify]: Simplify 0.5 into 0.5 4.693 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.693 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.693 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.693 * [taylor]: Taking taylor expansion of 2.0 in n 4.693 * [backup-simplify]: Simplify 2.0 into 2.0 4.693 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.693 * [taylor]: Taking taylor expansion of PI in n 4.693 * [backup-simplify]: Simplify PI into PI 4.693 * [taylor]: Taking taylor expansion of n in n 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 1 into 1 4.693 * [backup-simplify]: Simplify (/ PI 1) into PI 4.694 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.695 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.695 * [taylor]: Taking taylor expansion of 1.0 in n 4.695 * [backup-simplify]: Simplify 1.0 into 1.0 4.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.695 * [taylor]: Taking taylor expansion of k in n 4.695 * [backup-simplify]: Simplify k into k 4.695 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.697 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.697 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.698 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.700 * [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)))) 4.701 * [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))))) 4.702 * [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)))))) 4.704 * [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))))))) 4.705 * [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))))))) 4.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.707 * [backup-simplify]: Simplify (- 0) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.713 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.717 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.719 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.719 * [backup-simplify]: Simplify (- 0) into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.725 * [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))))))) 4.727 * [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))))))) 4.727 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.727 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.727 * [taylor]: Taking taylor expansion of +nan.0 in n 4.727 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.727 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.727 * [taylor]: Taking taylor expansion of 0.5 in n 4.727 * [backup-simplify]: Simplify 0.5 into 0.5 4.727 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.727 * [taylor]: Taking taylor expansion of 2.0 in n 4.727 * [backup-simplify]: Simplify 2.0 into 2.0 4.727 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.727 * [taylor]: Taking taylor expansion of PI in n 4.727 * [backup-simplify]: Simplify PI into PI 4.727 * [taylor]: Taking taylor expansion of n in n 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.728 * [backup-simplify]: Simplify (/ PI 1) into PI 4.728 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.729 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.730 * [taylor]: Taking taylor expansion of 1.0 in n 4.730 * [backup-simplify]: Simplify 1.0 into 1.0 4.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.730 * [taylor]: Taking taylor expansion of k in n 4.730 * [backup-simplify]: Simplify k into k 4.730 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.731 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.732 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.733 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.734 * [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)))) 4.736 * [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))))) 4.737 * [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)))))) 4.739 * [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))))))) 4.740 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.750 * [backup-simplify]: Simplify (+ (* (- (* +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)))))))) 4.752 * [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)))) 4.752 * [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 4.752 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.752 * [taylor]: Taking taylor expansion of 1.0 in n 4.752 * [backup-simplify]: Simplify 1.0 into 1.0 4.752 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.752 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.752 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.752 * [taylor]: Taking taylor expansion of 0.5 in n 4.752 * [backup-simplify]: Simplify 0.5 into 0.5 4.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.752 * [taylor]: Taking taylor expansion of k in n 4.752 * [backup-simplify]: Simplify k into k 4.752 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.752 * [taylor]: Taking taylor expansion of 1.0 in n 4.752 * [backup-simplify]: Simplify 1.0 into 1.0 4.752 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.752 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.753 * [taylor]: Taking taylor expansion of -2.0 in n 4.753 * [backup-simplify]: Simplify -2.0 into -2.0 4.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.753 * [taylor]: Taking taylor expansion of PI in n 4.753 * [backup-simplify]: Simplify PI into PI 4.753 * [taylor]: Taking taylor expansion of n in n 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 1 into 1 4.753 * [backup-simplify]: Simplify (/ PI 1) into PI 4.754 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.755 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.755 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.755 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.758 * [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)))) 4.759 * [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))))) 4.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.760 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.760 * [taylor]: Taking taylor expansion of -1 in n 4.760 * [backup-simplify]: Simplify -1 into -1 4.760 * [taylor]: Taking taylor expansion of k in n 4.760 * [backup-simplify]: Simplify k into k 4.760 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.760 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.760 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.761 * [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))) 4.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.761 * [taylor]: Taking taylor expansion of 1.0 in k 4.761 * [backup-simplify]: Simplify 1.0 into 1.0 4.761 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.761 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.761 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.761 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.761 * [taylor]: Taking taylor expansion of 0.5 in k 4.761 * [backup-simplify]: Simplify 0.5 into 0.5 4.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.762 * [taylor]: Taking taylor expansion of k in k 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [backup-simplify]: Simplify (/ 1 1) into 1 4.762 * [taylor]: Taking taylor expansion of 1.0 in k 4.762 * [backup-simplify]: Simplify 1.0 into 1.0 4.762 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.762 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.762 * [taylor]: Taking taylor expansion of -2.0 in k 4.762 * [backup-simplify]: Simplify -2.0 into -2.0 4.762 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.762 * [taylor]: Taking taylor expansion of PI in k 4.762 * [backup-simplify]: Simplify PI into PI 4.762 * [taylor]: Taking taylor expansion of n in k 4.762 * [backup-simplify]: Simplify n into n 4.762 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.762 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.762 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.762 * [backup-simplify]: Simplify (+ 1 0) into 1 4.763 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.763 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.763 * [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)))))) 4.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.763 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.763 * [taylor]: Taking taylor expansion of -1 in k 4.763 * [backup-simplify]: Simplify -1 into -1 4.763 * [taylor]: Taking taylor expansion of k in k 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.763 * [backup-simplify]: Simplify (/ -1 1) into -1 4.764 * [backup-simplify]: Simplify (sqrt 0) into 0 4.765 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.765 * [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))))))) 4.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.765 * [taylor]: Taking taylor expansion of 1.0 in k 4.765 * [backup-simplify]: Simplify 1.0 into 1.0 4.765 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.765 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.765 * [taylor]: Taking taylor expansion of 0.5 in k 4.765 * [backup-simplify]: Simplify 0.5 into 0.5 4.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.765 * [taylor]: Taking taylor expansion of k in k 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 1 into 1 4.765 * [backup-simplify]: Simplify (/ 1 1) into 1 4.765 * [taylor]: Taking taylor expansion of 1.0 in k 4.765 * [backup-simplify]: Simplify 1.0 into 1.0 4.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.765 * [taylor]: Taking taylor expansion of -2.0 in k 4.765 * [backup-simplify]: Simplify -2.0 into -2.0 4.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.766 * [taylor]: Taking taylor expansion of PI in k 4.766 * [backup-simplify]: Simplify PI into PI 4.766 * [taylor]: Taking taylor expansion of n in k 4.766 * [backup-simplify]: Simplify n into n 4.766 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.766 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.766 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.766 * [backup-simplify]: Simplify (+ 1 0) into 1 4.766 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.766 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.767 * [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)))))) 4.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.767 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.767 * [taylor]: Taking taylor expansion of -1 in k 4.767 * [backup-simplify]: Simplify -1 into -1 4.767 * [taylor]: Taking taylor expansion of k in k 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 1 into 1 4.767 * [backup-simplify]: Simplify (/ -1 1) into -1 4.767 * [backup-simplify]: Simplify (sqrt 0) into 0 4.768 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.768 * [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))))))) 4.768 * [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))))))) 4.768 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.769 * [taylor]: Taking taylor expansion of +nan.0 in n 4.769 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.769 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.769 * [taylor]: Taking taylor expansion of 0.5 in n 4.769 * [backup-simplify]: Simplify 0.5 into 0.5 4.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.769 * [taylor]: Taking taylor expansion of k in n 4.769 * [backup-simplify]: Simplify k into k 4.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.769 * [taylor]: Taking taylor expansion of 1.0 in n 4.769 * [backup-simplify]: Simplify 1.0 into 1.0 4.769 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.769 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.769 * [taylor]: Taking taylor expansion of -2.0 in n 4.769 * [backup-simplify]: Simplify -2.0 into -2.0 4.769 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.769 * [taylor]: Taking taylor expansion of PI in n 4.769 * [backup-simplify]: Simplify PI into PI 4.769 * [taylor]: Taking taylor expansion of n in n 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.769 * [backup-simplify]: Simplify (/ PI 1) into PI 4.770 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.770 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.770 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.771 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.772 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.773 * [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)))) 4.773 * [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))))) 4.774 * [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)))))) 4.775 * [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)))))) 4.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.778 * [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)))))))) 4.779 * [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)))))))) 4.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.779 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.779 * [taylor]: Taking taylor expansion of +nan.0 in n 4.779 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.779 * [taylor]: Taking taylor expansion of 0.5 in n 4.779 * [backup-simplify]: Simplify 0.5 into 0.5 4.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.779 * [taylor]: Taking taylor expansion of k in n 4.779 * [backup-simplify]: Simplify k into k 4.779 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.779 * [taylor]: Taking taylor expansion of 1.0 in n 4.779 * [backup-simplify]: Simplify 1.0 into 1.0 4.779 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.779 * [taylor]: Taking taylor expansion of -2.0 in n 4.779 * [backup-simplify]: Simplify -2.0 into -2.0 4.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.779 * [taylor]: Taking taylor expansion of PI in n 4.779 * [backup-simplify]: Simplify PI into PI 4.779 * [taylor]: Taking taylor expansion of n in n 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (/ PI 1) into PI 4.780 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.780 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.781 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.782 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.783 * [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)))) 4.784 * [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))))) 4.785 * [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)))))) 4.786 * [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))))))) 4.787 * [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))))))) 4.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.791 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.793 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.795 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.800 * [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)))))))) 4.801 * [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)))))))) 4.801 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.802 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.802 * [taylor]: Taking taylor expansion of +nan.0 in n 4.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.802 * [taylor]: Taking taylor expansion of 0.5 in n 4.802 * [backup-simplify]: Simplify 0.5 into 0.5 4.802 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.802 * [taylor]: Taking taylor expansion of k in n 4.802 * [backup-simplify]: Simplify k into k 4.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.802 * [taylor]: Taking taylor expansion of 1.0 in n 4.802 * [backup-simplify]: Simplify 1.0 into 1.0 4.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.802 * [taylor]: Taking taylor expansion of -2.0 in n 4.802 * [backup-simplify]: Simplify -2.0 into -2.0 4.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.802 * [taylor]: Taking taylor expansion of PI in n 4.802 * [backup-simplify]: Simplify PI into PI 4.802 * [taylor]: Taking taylor expansion of n in n 4.802 * [backup-simplify]: Simplify 0 into 0 4.802 * [backup-simplify]: Simplify 1 into 1 4.803 * [backup-simplify]: Simplify (/ PI 1) into PI 4.803 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.805 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.805 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.806 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.807 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.809 * [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)))) 4.810 * [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))))) 4.811 * [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)))))) 4.812 * [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))))))) 4.814 * [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))))))) 4.819 * [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)))))))))))) 4.820 * * * [progress]: simplifying candidates 4.824 * [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)))))))))))) 4.834 * * [simplify]: Extracting # 0 : cost 0 4.835 * * [simplify]: Extracting # 1 : cost 0 4.835 * * [simplify]: Extracting # 2 : cost 0 4.836 * * [simplify]: Extracting # 3 : cost 0 4.837 * * [simplify]: Extracting # 4 : cost 0 4.838 * * [simplify]: Extracting # 5 : cost 0 4.838 * * [simplify]: Extracting # 6 : cost 0 4.839 * * [simplify]: Extracting # 7 : cost 0 4.840 * * [simplify]: Extracting # 8 : cost 0 4.841 * * [simplify]: Extracting # 9 : cost 0 4.842 * * [simplify]: Extracting # 10 : cost 0 4.843 * * [simplify]: Extracting # 11 : cost 0 4.844 * * [simplify]: Extracting # 12 : cost 0 4.845 * * [simplify]: Extracting # 13 : cost 0 4.846 * * [simplify]: Extracting # 14 : cost 0 4.847 * * [simplify]: Extracting # 15 : cost 0 4.849 * * [simplify]: Extracting # 16 : cost 0 4.850 * * [simplify]: Extracting # 17 : cost 0 4.851 * * [simplify]: Extracting # 18 : cost 0 4.852 * * [simplify]: Extracting # 19 : cost 0 4.853 * * [simplify]: Extracting # 20 : cost 0 4.854 * * [simplify]: Extracting # 21 : cost 0 4.855 * * [simplify]: Extracting # 22 : cost 0 4.857 * * [simplify]: Extracting # 23 : cost 0 4.858 * * [simplify]: Extracting # 24 : cost 0 4.859 * * [simplify]: Extracting # 25 : cost 0 4.860 * * [simplify]: Extracting # 26 : cost 0 4.861 * * [simplify]: Extracting # 27 : cost 0 4.868 * * [simplify]: Extracting # 28 : cost 0 4.869 * * [simplify]: Extracting # 29 : cost 0 4.870 * * [simplify]: Extracting # 30 : cost 0 4.871 * * [simplify]: Extracting # 31 : cost 0 4.872 * * [simplify]: Extracting # 32 : cost 0 4.873 * * [simplify]: iteration 0 : 361 enodes (cost 2800 ) 5.000 * * [simplify]: Extracting # 0 : cost 0 5.002 * * [simplify]: Extracting # 1 : cost 0 5.003 * * [simplify]: Extracting # 2 : cost 0 5.004 * * [simplify]: Extracting # 3 : cost 0 5.005 * * [simplify]: Extracting # 4 : cost 0 5.007 * * [simplify]: Extracting # 5 : cost 0 5.008 * * [simplify]: iteration 1 : 931 enodes (cost 2635 ) 5.535 * * [simplify]: Extracting # 0 : cost 0 5.544 * * [simplify]: Extracting # 1 : cost 0 5.552 * * [simplify]: Extracting # 2 : cost 0 5.560 * * [simplify]: Extracting # 3 : cost 0 5.567 * * [simplify]: Extracting # 4 : cost 0 5.575 * * [simplify]: Extracting # 5 : cost 0 5.583 * * [simplify]: iteration 2 : 3047 enodes (cost 2471 ) 6.816 * * [simplify]: Extracting # 0 : cost 0 6.823 * * [simplify]: Extracting # 1 : cost 0 6.830 * * [simplify]: Extracting # 2 : cost 0 6.836 * * [simplify]: Extracting # 3 : cost 0 6.851 * * [simplify]: Extracting # 4 : cost 0 6.864 * * [simplify]: iteration done: 5000 enodes (cost 2471 ) 6.867 * [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)))) 6.869 * * * [progress]: adding candidates to table 7.495 * * [progress]: iteration 2 / 4 7.495 * * * [progress]: picking best candidate 7.526 * * * * [pick]: Picked # 7.526 * * * [progress]: localizing error 7.546 * * * [progress]: generating rewritten candidates 7.546 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.559 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 7.581 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.616 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 7.637 * * * [progress]: generating series expansions 7.637 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.637 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 7.637 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 7.637 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 7.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 7.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 7.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.637 * [taylor]: Taking taylor expansion of 0.5 in k 7.637 * [backup-simplify]: Simplify 0.5 into 0.5 7.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.638 * [taylor]: Taking taylor expansion of 1.0 in k 7.638 * [backup-simplify]: Simplify 1.0 into 1.0 7.638 * [taylor]: Taking taylor expansion of k in k 7.638 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify 1 into 1 7.638 * [taylor]: Taking taylor expansion of (log n) in k 7.638 * [taylor]: Taking taylor expansion of n in k 7.638 * [backup-simplify]: Simplify n into n 7.638 * [backup-simplify]: Simplify (log n) into (log n) 7.638 * [backup-simplify]: Simplify (- 0) into 0 7.639 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.639 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.639 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 7.640 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.640 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.640 * [taylor]: Taking taylor expansion of 0.5 in n 7.640 * [backup-simplify]: Simplify 0.5 into 0.5 7.640 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.640 * [taylor]: Taking taylor expansion of 1.0 in n 7.640 * [backup-simplify]: Simplify 1.0 into 1.0 7.640 * [taylor]: Taking taylor expansion of k in n 7.640 * [backup-simplify]: Simplify k into k 7.640 * [taylor]: Taking taylor expansion of (log n) in n 7.640 * [taylor]: Taking taylor expansion of n in n 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (log 1) into 0 7.641 * [backup-simplify]: Simplify (- k) into (- k) 7.641 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.641 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.642 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.642 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.642 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 7.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 7.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 7.642 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.642 * [taylor]: Taking taylor expansion of 0.5 in n 7.642 * [backup-simplify]: Simplify 0.5 into 0.5 7.642 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.642 * [taylor]: Taking taylor expansion of 1.0 in n 7.642 * [backup-simplify]: Simplify 1.0 into 1.0 7.642 * [taylor]: Taking taylor expansion of k in n 7.642 * [backup-simplify]: Simplify k into k 7.642 * [taylor]: Taking taylor expansion of (log n) in n 7.642 * [taylor]: Taking taylor expansion of n in n 7.642 * [backup-simplify]: Simplify 0 into 0 7.642 * [backup-simplify]: Simplify 1 into 1 7.643 * [backup-simplify]: Simplify (log 1) into 0 7.643 * [backup-simplify]: Simplify (- k) into (- k) 7.643 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.643 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.643 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.644 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 7.644 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 7.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 7.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 7.644 * [taylor]: Taking taylor expansion of 0.5 in k 7.644 * [backup-simplify]: Simplify 0.5 into 0.5 7.644 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.644 * [taylor]: Taking taylor expansion of 1.0 in k 7.644 * [backup-simplify]: Simplify 1.0 into 1.0 7.644 * [taylor]: Taking taylor expansion of k in k 7.644 * [backup-simplify]: Simplify 0 into 0 7.644 * [backup-simplify]: Simplify 1 into 1 7.644 * [taylor]: Taking taylor expansion of (log n) in k 7.644 * [taylor]: Taking taylor expansion of n in k 7.644 * [backup-simplify]: Simplify n into n 7.645 * [backup-simplify]: Simplify (log n) into (log n) 7.645 * [backup-simplify]: Simplify (- 0) into 0 7.645 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.645 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.646 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 7.646 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 7.646 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 7.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.648 * [backup-simplify]: Simplify (- 0) into 0 7.648 * [backup-simplify]: Simplify (+ 0 0) into 0 7.649 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.649 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.649 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 7.650 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.650 * [taylor]: Taking taylor expansion of 0 in k 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.652 * [backup-simplify]: Simplify (- 1) into -1 7.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.658 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 7.658 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 7.658 * [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))) 7.659 * [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))) 7.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.662 * [backup-simplify]: Simplify (- 0) into 0 7.663 * [backup-simplify]: Simplify (+ 0 0) into 0 7.663 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.664 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 7.666 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.666 * [taylor]: Taking taylor expansion of 0 in k 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.669 * [backup-simplify]: Simplify (- 0) into 0 7.669 * [backup-simplify]: Simplify (+ 0 0) into 0 7.670 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 7.672 * [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))) 7.672 * [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))) 7.673 * [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)))) 7.674 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 7.674 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.674 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 7.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 7.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.674 * [taylor]: Taking taylor expansion of 0.5 in k 7.674 * [backup-simplify]: Simplify 0.5 into 0.5 7.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.674 * [taylor]: Taking taylor expansion of 1.0 in k 7.674 * [backup-simplify]: Simplify 1.0 into 1.0 7.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.674 * [taylor]: Taking taylor expansion of k in k 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 1 into 1 7.675 * [backup-simplify]: Simplify (/ 1 1) into 1 7.675 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 7.675 * [taylor]: Taking taylor expansion of (/ 1 n) in k 7.675 * [taylor]: Taking taylor expansion of n in k 7.675 * [backup-simplify]: Simplify n into n 7.675 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 7.675 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 7.675 * [backup-simplify]: Simplify (- 1) into -1 7.676 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.676 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.676 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 7.677 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 7.677 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.677 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.677 * [taylor]: Taking taylor expansion of 0.5 in n 7.677 * [backup-simplify]: Simplify 0.5 into 0.5 7.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.677 * [taylor]: Taking taylor expansion of 1.0 in n 7.677 * [backup-simplify]: Simplify 1.0 into 1.0 7.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.677 * [taylor]: Taking taylor expansion of k in n 7.677 * [backup-simplify]: Simplify k into k 7.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.677 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.677 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.677 * [taylor]: Taking taylor expansion of n in n 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify 1 into 1 7.678 * [backup-simplify]: Simplify (/ 1 1) into 1 7.678 * [backup-simplify]: Simplify (log 1) into 0 7.678 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.678 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.679 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.679 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.679 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.679 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.680 * [taylor]: Taking taylor expansion of 0.5 in n 7.680 * [backup-simplify]: Simplify 0.5 into 0.5 7.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.680 * [taylor]: Taking taylor expansion of 1.0 in n 7.680 * [backup-simplify]: Simplify 1.0 into 1.0 7.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.680 * [taylor]: Taking taylor expansion of k in n 7.680 * [backup-simplify]: Simplify k into k 7.680 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.680 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.680 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.680 * [taylor]: Taking taylor expansion of n in n 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 1 into 1 7.680 * [backup-simplify]: Simplify (/ 1 1) into 1 7.681 * [backup-simplify]: Simplify (log 1) into 0 7.681 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.681 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.681 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.682 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 7.682 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.682 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 7.682 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 7.682 * [taylor]: Taking taylor expansion of -0.5 in k 7.682 * [backup-simplify]: Simplify -0.5 into -0.5 7.683 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 7.683 * [taylor]: Taking taylor expansion of (log n) in k 7.683 * [taylor]: Taking taylor expansion of n in k 7.683 * [backup-simplify]: Simplify n into n 7.683 * [backup-simplify]: Simplify (log n) into (log n) 7.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.683 * [taylor]: Taking taylor expansion of 1.0 in k 7.683 * [backup-simplify]: Simplify 1.0 into 1.0 7.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.683 * [taylor]: Taking taylor expansion of k in k 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [backup-simplify]: Simplify (/ 1 1) into 1 7.684 * [backup-simplify]: Simplify (- 1) into -1 7.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.684 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 7.684 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 7.685 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.685 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 7.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.688 * [backup-simplify]: Simplify (- 0) into 0 7.688 * [backup-simplify]: Simplify (+ 0 0) into 0 7.689 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.689 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.689 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 7.690 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.690 * [taylor]: Taking taylor expansion of 0 in k 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 0 into 0 7.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.695 * [backup-simplify]: Simplify (- 0) into 0 7.695 * [backup-simplify]: Simplify (+ 0 0) into 0 7.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 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 0) (* 0 (- (log n))))) into 0 7.699 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.699 * [taylor]: Taking taylor expansion of 0 in k 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.699 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.705 * [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 7.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.706 * [backup-simplify]: Simplify (- 0) into 0 7.706 * [backup-simplify]: Simplify (+ 0 0) into 0 7.708 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 7.709 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 7.711 * [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 7.711 * [taylor]: Taking taylor expansion of 0 in k 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify 0 into 0 7.711 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 7.712 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 7.712 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.712 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 7.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 7.712 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.712 * [taylor]: Taking taylor expansion of 0.5 in k 7.712 * [backup-simplify]: Simplify 0.5 into 0.5 7.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.712 * [taylor]: Taking taylor expansion of k in k 7.712 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify 1 into 1 7.713 * [backup-simplify]: Simplify (/ 1 1) into 1 7.713 * [taylor]: Taking taylor expansion of 1.0 in k 7.713 * [backup-simplify]: Simplify 1.0 into 1.0 7.713 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 7.713 * [taylor]: Taking taylor expansion of (/ -1 n) in k 7.713 * [taylor]: Taking taylor expansion of -1 in k 7.713 * [backup-simplify]: Simplify -1 into -1 7.713 * [taylor]: Taking taylor expansion of n in k 7.713 * [backup-simplify]: Simplify n into n 7.713 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 7.713 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 7.714 * [backup-simplify]: Simplify (+ 1 0) into 1 7.714 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.714 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 7.714 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 7.714 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.715 * [taylor]: Taking taylor expansion of 0.5 in n 7.715 * [backup-simplify]: Simplify 0.5 into 0.5 7.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.715 * [taylor]: Taking taylor expansion of k in n 7.715 * [backup-simplify]: Simplify k into k 7.715 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.715 * [taylor]: Taking taylor expansion of 1.0 in n 7.715 * [backup-simplify]: Simplify 1.0 into 1.0 7.715 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.715 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.715 * [taylor]: Taking taylor expansion of -1 in n 7.715 * [backup-simplify]: Simplify -1 into -1 7.715 * [taylor]: Taking taylor expansion of n in n 7.715 * [backup-simplify]: Simplify 0 into 0 7.715 * [backup-simplify]: Simplify 1 into 1 7.716 * [backup-simplify]: Simplify (/ -1 1) into -1 7.716 * [backup-simplify]: Simplify (log -1) into (log -1) 7.716 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.716 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.718 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.718 * [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)))) 7.718 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.718 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.718 * [taylor]: Taking taylor expansion of 0.5 in n 7.718 * [backup-simplify]: Simplify 0.5 into 0.5 7.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.719 * [taylor]: Taking taylor expansion of k in n 7.719 * [backup-simplify]: Simplify k into k 7.719 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.719 * [taylor]: Taking taylor expansion of 1.0 in n 7.719 * [backup-simplify]: Simplify 1.0 into 1.0 7.719 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.719 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.719 * [taylor]: Taking taylor expansion of -1 in n 7.719 * [backup-simplify]: Simplify -1 into -1 7.719 * [taylor]: Taking taylor expansion of n in n 7.719 * [backup-simplify]: Simplify 0 into 0 7.719 * [backup-simplify]: Simplify 1 into 1 7.719 * [backup-simplify]: Simplify (/ -1 1) into -1 7.720 * [backup-simplify]: Simplify (log -1) into (log -1) 7.720 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.720 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.721 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 7.722 * [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)))) 7.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 7.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 7.722 * [taylor]: Taking taylor expansion of 0.5 in k 7.722 * [backup-simplify]: Simplify 0.5 into 0.5 7.722 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 7.722 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 7.722 * [taylor]: Taking taylor expansion of (log -1) in k 7.722 * [taylor]: Taking taylor expansion of -1 in k 7.722 * [backup-simplify]: Simplify -1 into -1 7.723 * [backup-simplify]: Simplify (log -1) into (log -1) 7.723 * [taylor]: Taking taylor expansion of (log n) in k 7.723 * [taylor]: Taking taylor expansion of n in k 7.723 * [backup-simplify]: Simplify n into n 7.723 * [backup-simplify]: Simplify (log n) into (log n) 7.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.723 * [taylor]: Taking taylor expansion of k in k 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 1 into 1 7.723 * [backup-simplify]: Simplify (/ 1 1) into 1 7.724 * [taylor]: Taking taylor expansion of 1.0 in k 7.724 * [backup-simplify]: Simplify 1.0 into 1.0 7.724 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.724 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 7.725 * [backup-simplify]: Simplify (+ 1 0) into 1 7.725 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 7.725 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 7.726 * [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 * [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)))) 7.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 7.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.730 * [backup-simplify]: Simplify (+ 0 0) into 0 7.730 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.731 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.732 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 7.733 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.733 * [taylor]: Taking taylor expansion of 0 in k 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.735 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 7.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.736 * [backup-simplify]: Simplify (+ 0 0) into 0 7.736 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.737 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.737 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 7.738 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.738 * [taylor]: Taking taylor expansion of 0 in k 7.738 * [backup-simplify]: Simplify 0 into 0 7.738 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.742 * [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 7.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.743 * [backup-simplify]: Simplify (+ 0 0) into 0 7.744 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 7.745 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 7.746 * [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 7.746 * [taylor]: Taking taylor expansion of 0 in k 7.746 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify 0 into 0 7.747 * [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)))))) 7.747 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.747 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 7.747 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 7.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.748 * [taylor]: Taking taylor expansion of 0.5 in k 7.748 * [backup-simplify]: Simplify 0.5 into 0.5 7.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.748 * [taylor]: Taking taylor expansion of 1.0 in k 7.748 * [backup-simplify]: Simplify 1.0 into 1.0 7.748 * [taylor]: Taking taylor expansion of k in k 7.748 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify 1 into 1 7.748 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.748 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.748 * [taylor]: Taking taylor expansion of 2.0 in k 7.748 * [backup-simplify]: Simplify 2.0 into 2.0 7.748 * [taylor]: Taking taylor expansion of PI in k 7.748 * [backup-simplify]: Simplify PI into PI 7.748 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.749 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.749 * [backup-simplify]: Simplify (- 0) into 0 7.749 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.750 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.751 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.752 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.752 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.752 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.752 * [taylor]: Taking taylor expansion of 0.5 in k 7.752 * [backup-simplify]: Simplify 0.5 into 0.5 7.752 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.752 * [taylor]: Taking taylor expansion of 1.0 in k 7.752 * [backup-simplify]: Simplify 1.0 into 1.0 7.752 * [taylor]: Taking taylor expansion of k in k 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.752 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.752 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.752 * [taylor]: Taking taylor expansion of 2.0 in k 7.752 * [backup-simplify]: Simplify 2.0 into 2.0 7.752 * [taylor]: Taking taylor expansion of PI in k 7.752 * [backup-simplify]: Simplify PI into PI 7.753 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.753 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.754 * [backup-simplify]: Simplify (- 0) into 0 7.754 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.754 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.755 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.757 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.758 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 7.758 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.759 * [backup-simplify]: Simplify (- 1) into -1 7.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.760 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.763 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.771 * [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))) 7.775 * [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))) 7.776 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.778 * [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 7.779 * [backup-simplify]: Simplify (- 0) into 0 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.780 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.794 * [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))) 7.799 * [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))) 7.809 * [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)))) 7.810 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 7.810 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 7.810 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.810 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.810 * [taylor]: Taking taylor expansion of 0.5 in k 7.810 * [backup-simplify]: Simplify 0.5 into 0.5 7.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.810 * [taylor]: Taking taylor expansion of 1.0 in k 7.810 * [backup-simplify]: Simplify 1.0 into 1.0 7.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.810 * [taylor]: Taking taylor expansion of k in k 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (/ 1 1) into 1 7.810 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.810 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.810 * [taylor]: Taking taylor expansion of 2.0 in k 7.810 * [backup-simplify]: Simplify 2.0 into 2.0 7.810 * [taylor]: Taking taylor expansion of PI in k 7.810 * [backup-simplify]: Simplify PI into PI 7.811 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.811 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.812 * [backup-simplify]: Simplify (- 1) into -1 7.812 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.812 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.814 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.815 * [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))))) 7.815 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 7.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 7.815 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.815 * [taylor]: Taking taylor expansion of 0.5 in k 7.815 * [backup-simplify]: Simplify 0.5 into 0.5 7.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.815 * [taylor]: Taking taylor expansion of 1.0 in k 7.815 * [backup-simplify]: Simplify 1.0 into 1.0 7.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.815 * [taylor]: Taking taylor expansion of k in k 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.816 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.816 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.816 * [taylor]: Taking taylor expansion of 2.0 in k 7.816 * [backup-simplify]: Simplify 2.0 into 2.0 7.816 * [taylor]: Taking taylor expansion of PI in k 7.816 * [backup-simplify]: Simplify PI into PI 7.816 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.818 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.818 * [backup-simplify]: Simplify (- 1) into -1 7.818 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.819 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.821 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 7.822 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 7.823 * [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))))) 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.823 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.824 * [backup-simplify]: Simplify 0 into 0 7.825 * [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))))) 7.826 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 7.826 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 7.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.826 * [taylor]: Taking taylor expansion of 0.5 in k 7.826 * [backup-simplify]: Simplify 0.5 into 0.5 7.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.826 * [taylor]: Taking taylor expansion of k in k 7.826 * [backup-simplify]: Simplify 0 into 0 7.826 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (/ 1 1) into 1 7.827 * [taylor]: Taking taylor expansion of 1.0 in k 7.827 * [backup-simplify]: Simplify 1.0 into 1.0 7.827 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.827 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.827 * [taylor]: Taking taylor expansion of 2.0 in k 7.827 * [backup-simplify]: Simplify 2.0 into 2.0 7.827 * [taylor]: Taking taylor expansion of PI in k 7.827 * [backup-simplify]: Simplify PI into PI 7.827 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.828 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.829 * [backup-simplify]: Simplify (+ 1 0) into 1 7.829 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.831 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.832 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 7.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 7.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 7.833 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.833 * [taylor]: Taking taylor expansion of 0.5 in k 7.833 * [backup-simplify]: Simplify 0.5 into 0.5 7.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.833 * [taylor]: Taking taylor expansion of k in k 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.833 * [backup-simplify]: Simplify (/ 1 1) into 1 7.833 * [taylor]: Taking taylor expansion of 1.0 in k 7.833 * [backup-simplify]: Simplify 1.0 into 1.0 7.833 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.833 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.833 * [taylor]: Taking taylor expansion of 2.0 in k 7.833 * [backup-simplify]: Simplify 2.0 into 2.0 7.833 * [taylor]: Taking taylor expansion of PI in k 7.833 * [backup-simplify]: Simplify PI into PI 7.834 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.835 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.836 * [backup-simplify]: Simplify (+ 1 0) into 1 7.836 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.837 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.838 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 7.839 * [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)))) 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 0 into 0 7.840 * [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))))) 7.840 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.840 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 7.841 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 7.841 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 7.841 * [taylor]: Taking taylor expansion of 1.0 in k 7.841 * [backup-simplify]: Simplify 1.0 into 1.0 7.841 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 7.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.841 * [taylor]: Taking taylor expansion of k in k 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [backup-simplify]: Simplify (sqrt 0) into 0 7.843 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.843 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.843 * [taylor]: Taking taylor expansion of 0.5 in k 7.843 * [backup-simplify]: Simplify 0.5 into 0.5 7.843 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.843 * [taylor]: Taking taylor expansion of 1.0 in k 7.843 * [backup-simplify]: Simplify 1.0 into 1.0 7.843 * [taylor]: Taking taylor expansion of k in k 7.843 * [backup-simplify]: Simplify 0 into 0 7.843 * [backup-simplify]: Simplify 1 into 1 7.843 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.843 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.843 * [taylor]: Taking taylor expansion of 2.0 in k 7.843 * [backup-simplify]: Simplify 2.0 into 2.0 7.843 * [taylor]: Taking taylor expansion of PI in k 7.843 * [backup-simplify]: Simplify PI into PI 7.843 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.844 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.844 * [backup-simplify]: Simplify (- 0) into 0 7.844 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.845 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.846 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.847 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.847 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 7.847 * [taylor]: Taking taylor expansion of 1.0 in k 7.847 * [backup-simplify]: Simplify 1.0 into 1.0 7.847 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 7.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.847 * [taylor]: Taking taylor expansion of k in k 7.847 * [backup-simplify]: Simplify 0 into 0 7.847 * [backup-simplify]: Simplify 1 into 1 7.848 * [backup-simplify]: Simplify (/ 1 1) into 1 7.848 * [backup-simplify]: Simplify (sqrt 0) into 0 7.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 7.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 7.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 7.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.849 * [taylor]: Taking taylor expansion of 0.5 in k 7.849 * [backup-simplify]: Simplify 0.5 into 0.5 7.849 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.849 * [taylor]: Taking taylor expansion of 1.0 in k 7.849 * [backup-simplify]: Simplify 1.0 into 1.0 7.849 * [taylor]: Taking taylor expansion of k in k 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 1 into 1 7.849 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.849 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.849 * [taylor]: Taking taylor expansion of 2.0 in k 7.849 * [backup-simplify]: Simplify 2.0 into 2.0 7.849 * [taylor]: Taking taylor expansion of PI in k 7.849 * [backup-simplify]: Simplify PI into PI 7.849 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.850 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.850 * [backup-simplify]: Simplify (- 0) into 0 7.851 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.851 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.852 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 7.853 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 7.854 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 7.854 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.855 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.856 * [backup-simplify]: Simplify (- 1) into -1 7.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.857 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 7.867 * [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))) 7.871 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.880 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 7.886 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 7.887 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.891 * [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 7.891 * [backup-simplify]: Simplify (- 0) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 7.911 * [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))) 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.913 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.925 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 7.948 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 7.967 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 7.968 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.974 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 7.975 * [backup-simplify]: Simplify (- 0) into 0 7.975 * [backup-simplify]: Simplify (+ 0 0) into 0 7.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 7.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 7.999 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.049 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.082 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.118 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.187 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.188 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.188 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.188 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.188 * [taylor]: Taking taylor expansion of 1.0 in k 8.188 * [backup-simplify]: Simplify 1.0 into 1.0 8.188 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.188 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.188 * [taylor]: Taking taylor expansion of k in k 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 1 into 1 8.189 * [backup-simplify]: Simplify (sqrt 0) into 0 8.190 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.190 * [taylor]: Taking taylor expansion of 0.5 in k 8.191 * [backup-simplify]: Simplify 0.5 into 0.5 8.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.191 * [taylor]: Taking taylor expansion of 1.0 in k 8.191 * [backup-simplify]: Simplify 1.0 into 1.0 8.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.191 * [taylor]: Taking taylor expansion of k in k 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 1 into 1 8.191 * [backup-simplify]: Simplify (/ 1 1) into 1 8.191 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.191 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.191 * [taylor]: Taking taylor expansion of 2.0 in k 8.191 * [backup-simplify]: Simplify 2.0 into 2.0 8.191 * [taylor]: Taking taylor expansion of PI in k 8.191 * [backup-simplify]: Simplify PI into PI 8.192 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.193 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.193 * [backup-simplify]: Simplify (- 1) into -1 8.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.194 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.196 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.197 * [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))))) 8.197 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.197 * [taylor]: Taking taylor expansion of 1.0 in k 8.197 * [backup-simplify]: Simplify 1.0 into 1.0 8.197 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.197 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.197 * [taylor]: Taking taylor expansion of k in k 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (sqrt 0) into 0 8.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.199 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.199 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.199 * [taylor]: Taking taylor expansion of 0.5 in k 8.199 * [backup-simplify]: Simplify 0.5 into 0.5 8.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.199 * [taylor]: Taking taylor expansion of 1.0 in k 8.199 * [backup-simplify]: Simplify 1.0 into 1.0 8.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.199 * [taylor]: Taking taylor expansion of k in k 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [backup-simplify]: Simplify (/ 1 1) into 1 8.200 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.200 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.200 * [taylor]: Taking taylor expansion of 2.0 in k 8.200 * [backup-simplify]: Simplify 2.0 into 2.0 8.200 * [taylor]: Taking taylor expansion of PI in k 8.200 * [backup-simplify]: Simplify PI into PI 8.200 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.201 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.202 * [backup-simplify]: Simplify (- 1) into -1 8.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.202 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.204 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.206 * [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))))) 8.207 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.207 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.210 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.212 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.215 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.220 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.221 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.231 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.233 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.237 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.238 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.238 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.238 * [taylor]: Taking taylor expansion of 1.0 in k 8.238 * [backup-simplify]: Simplify 1.0 into 1.0 8.238 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.239 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.239 * [taylor]: Taking taylor expansion of 0.5 in k 8.239 * [backup-simplify]: Simplify 0.5 into 0.5 8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.239 * [taylor]: Taking taylor expansion of k in k 8.239 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify 1 into 1 8.239 * [backup-simplify]: Simplify (/ 1 1) into 1 8.239 * [taylor]: Taking taylor expansion of 1.0 in k 8.239 * [backup-simplify]: Simplify 1.0 into 1.0 8.239 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.239 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.239 * [taylor]: Taking taylor expansion of 2.0 in k 8.239 * [backup-simplify]: Simplify 2.0 into 2.0 8.239 * [taylor]: Taking taylor expansion of PI in k 8.239 * [backup-simplify]: Simplify PI into PI 8.240 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.241 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.241 * [backup-simplify]: Simplify (+ 1 0) into 1 8.242 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.243 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.243 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.243 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.243 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.243 * [taylor]: Taking taylor expansion of -1 in k 8.243 * [backup-simplify]: Simplify -1 into -1 8.243 * [taylor]: Taking taylor expansion of k in k 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 1 into 1 8.244 * [backup-simplify]: Simplify (/ -1 1) into -1 8.244 * [backup-simplify]: Simplify (sqrt 0) into 0 8.245 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.245 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.246 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.246 * [taylor]: Taking taylor expansion of 1.0 in k 8.246 * [backup-simplify]: Simplify 1.0 into 1.0 8.246 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.246 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.246 * [taylor]: Taking taylor expansion of 0.5 in k 8.246 * [backup-simplify]: Simplify 0.5 into 0.5 8.246 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.246 * [taylor]: Taking taylor expansion of k in k 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 1 into 1 8.246 * [backup-simplify]: Simplify (/ 1 1) into 1 8.246 * [taylor]: Taking taylor expansion of 1.0 in k 8.246 * [backup-simplify]: Simplify 1.0 into 1.0 8.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.246 * [taylor]: Taking taylor expansion of 2.0 in k 8.246 * [backup-simplify]: Simplify 2.0 into 2.0 8.246 * [taylor]: Taking taylor expansion of PI in k 8.246 * [backup-simplify]: Simplify PI into PI 8.246 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.247 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.247 * [backup-simplify]: Simplify (+ 1 0) into 1 8.248 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.249 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.249 * [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)))) 8.249 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.249 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.250 * [taylor]: Taking taylor expansion of -1 in k 8.250 * [backup-simplify]: Simplify -1 into -1 8.250 * [taylor]: Taking taylor expansion of k in k 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 1 into 1 8.250 * [backup-simplify]: Simplify (/ -1 1) into -1 8.250 * [backup-simplify]: Simplify (sqrt 0) into 0 8.251 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.252 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.252 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.253 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.257 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.259 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.259 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.264 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.267 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.267 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.270 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.270 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.270 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.270 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.270 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.270 * [taylor]: Taking taylor expansion of 1.0 in k 8.270 * [backup-simplify]: Simplify 1.0 into 1.0 8.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.270 * [taylor]: Taking taylor expansion of k in k 8.270 * [backup-simplify]: Simplify 0 into 0 8.270 * [backup-simplify]: Simplify 1 into 1 8.271 * [backup-simplify]: Simplify (/ 1 1) into 1 8.271 * [backup-simplify]: Simplify (sqrt 0) into 0 8.272 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.272 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.272 * [taylor]: Taking taylor expansion of 1.0 in k 8.272 * [backup-simplify]: Simplify 1.0 into 1.0 8.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.272 * [taylor]: Taking taylor expansion of k in k 8.272 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify 1 into 1 8.272 * [backup-simplify]: Simplify (/ 1 1) into 1 8.272 * [backup-simplify]: Simplify (sqrt 0) into 0 8.273 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.274 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.274 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.276 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.281 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.289 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.289 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.290 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.291 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.291 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.291 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.291 * [taylor]: Taking taylor expansion of 1.0 in k 8.291 * [backup-simplify]: Simplify 1.0 into 1.0 8.291 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.291 * [taylor]: Taking taylor expansion of k in k 8.291 * [backup-simplify]: Simplify 0 into 0 8.291 * [backup-simplify]: Simplify 1 into 1 8.291 * [backup-simplify]: Simplify (sqrt 0) into 0 8.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.297 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.297 * [taylor]: Taking taylor expansion of 1.0 in k 8.297 * [backup-simplify]: Simplify 1.0 into 1.0 8.297 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.297 * [taylor]: Taking taylor expansion of k in k 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (sqrt 0) into 0 8.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.299 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.300 * [backup-simplify]: Simplify 0 into 0 8.301 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.301 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.304 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.306 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.313 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.314 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.315 * [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)))))))) 8.316 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.316 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.316 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.316 * [taylor]: Taking taylor expansion of 1.0 in k 8.316 * [backup-simplify]: Simplify 1.0 into 1.0 8.316 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.316 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.316 * [taylor]: Taking taylor expansion of -1 in k 8.316 * [backup-simplify]: Simplify -1 into -1 8.316 * [taylor]: Taking taylor expansion of k in k 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify (/ -1 1) into -1 8.317 * [backup-simplify]: Simplify (sqrt 0) into 0 8.317 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.318 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.318 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.318 * [taylor]: Taking taylor expansion of 1.0 in k 8.318 * [backup-simplify]: Simplify 1.0 into 1.0 8.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.318 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.318 * [taylor]: Taking taylor expansion of -1 in k 8.318 * [backup-simplify]: Simplify -1 into -1 8.318 * [taylor]: Taking taylor expansion of k in k 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify 1 into 1 8.318 * [backup-simplify]: Simplify (/ -1 1) into -1 8.318 * [backup-simplify]: Simplify (sqrt 0) into 0 8.319 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.320 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.323 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.324 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.329 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.329 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.330 * [backup-simplify]: Simplify (+ (* (- +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))))) 8.330 * * * [progress]: simplifying candidates 8.333 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.337 * * [simplify]: Extracting # 0 : cost 0 8.337 * * [simplify]: Extracting # 1 : cost 0 8.337 * * [simplify]: Extracting # 2 : cost 0 8.338 * * [simplify]: Extracting # 3 : cost 0 8.338 * * [simplify]: Extracting # 4 : cost 0 8.338 * * [simplify]: Extracting # 5 : cost 0 8.339 * * [simplify]: Extracting # 6 : cost 0 8.339 * * [simplify]: Extracting # 7 : cost 0 8.340 * * [simplify]: Extracting # 8 : cost 0 8.340 * * [simplify]: Extracting # 9 : cost 0 8.341 * * [simplify]: Extracting # 10 : cost 0 8.341 * * [simplify]: Extracting # 11 : cost 0 8.341 * * [simplify]: Extracting # 12 : cost 0 8.342 * * [simplify]: Extracting # 13 : cost 0 8.342 * * [simplify]: Extracting # 14 : cost 0 8.343 * * [simplify]: Extracting # 15 : cost 0 8.343 * * [simplify]: Extracting # 16 : cost 0 8.344 * * [simplify]: Extracting # 17 : cost 0 8.344 * * [simplify]: Extracting # 18 : cost 0 8.345 * * [simplify]: Extracting # 19 : cost 0 8.345 * * [simplify]: iteration 0 : 325 enodes (cost 2550 ) 8.448 * * [simplify]: Extracting # 0 : cost 0 8.451 * * [simplify]: Extracting # 1 : cost 0 8.453 * * [simplify]: Extracting # 2 : cost 0 8.455 * * [simplify]: Extracting # 3 : cost 0 8.458 * * [simplify]: Extracting # 4 : cost 0 8.460 * * [simplify]: iteration 1 : 805 enodes (cost 2394 ) 8.896 * * [simplify]: Extracting # 0 : cost 0 8.902 * * [simplify]: Extracting # 1 : cost 0 8.908 * * [simplify]: Extracting # 2 : cost 0 8.914 * * [simplify]: Extracting # 3 : cost 0 8.921 * * [simplify]: Extracting # 4 : cost 0 8.927 * * [simplify]: iteration 2 : 2331 enodes (cost 2288 ) 9.874 * * [simplify]: Extracting # 0 : cost 0 9.880 * * [simplify]: Extracting # 1 : cost 0 9.894 * * [simplify]: Extracting # 2 : cost 0 9.908 * * [simplify]: Extracting # 3 : cost 0 9.915 * * [simplify]: Extracting # 4 : cost 0 9.922 * * [simplify]: iteration done: 5001 enodes (cost 2206 ) 9.923 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (pow n 0.5) (* (pow (pow n 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.5 (* k (log n)))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp 0.5) (* (- 1.0 k) (+ 0 (log n)))) (+ (pow (* 2.0 PI) 0.5) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (pow k 2) (* (pow k 2) (log (* 2.0 PI))))) (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- k (* k (log (* 2.0 PI))))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0))))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (/ (pow k 3) +nan.0)))) (- (+ (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) k) (- (/ +nan.0 k) +nan.0)) (* +nan.0 (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))))) (- (+ (* k (- +nan.0 (* +nan.0 k))) +nan.0)) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 9.924 * * * [progress]: adding candidates to table 10.708 * * [progress]: iteration 3 / 4 10.708 * * * [progress]: picking best candidate 10.748 * * * * [pick]: Picked # 10.748 * * * [progress]: localizing error 10.790 * * * [progress]: generating rewritten candidates 10.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.807 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 10.823 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.948 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 10.978 * * * [progress]: generating series expansions 10.978 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.979 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 10.979 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 10.979 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.979 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.979 * [taylor]: Taking taylor expansion of 0.5 in k 10.979 * [backup-simplify]: Simplify 0.5 into 0.5 10.979 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.979 * [taylor]: Taking taylor expansion of 1.0 in k 10.979 * [backup-simplify]: Simplify 1.0 into 1.0 10.979 * [taylor]: Taking taylor expansion of k in k 10.979 * [backup-simplify]: Simplify 0 into 0 10.979 * [backup-simplify]: Simplify 1 into 1 10.979 * [taylor]: Taking taylor expansion of (log n) in k 10.979 * [taylor]: Taking taylor expansion of n in k 10.979 * [backup-simplify]: Simplify n into n 10.979 * [backup-simplify]: Simplify (log n) into (log n) 10.980 * [backup-simplify]: Simplify (- 0) into 0 10.980 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.982 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.982 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.982 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.982 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.982 * [taylor]: Taking taylor expansion of 0.5 in n 10.982 * [backup-simplify]: Simplify 0.5 into 0.5 10.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.982 * [taylor]: Taking taylor expansion of 1.0 in n 10.982 * [backup-simplify]: Simplify 1.0 into 1.0 10.982 * [taylor]: Taking taylor expansion of k in n 10.982 * [backup-simplify]: Simplify k into k 10.982 * [taylor]: Taking taylor expansion of (log n) in n 10.982 * [taylor]: Taking taylor expansion of n in n 10.982 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify 1 into 1 10.983 * [backup-simplify]: Simplify (log 1) into 0 10.983 * [backup-simplify]: Simplify (- k) into (- k) 10.983 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.983 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.984 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.984 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.984 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.984 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.984 * [taylor]: Taking taylor expansion of 0.5 in n 10.984 * [backup-simplify]: Simplify 0.5 into 0.5 10.984 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.984 * [taylor]: Taking taylor expansion of 1.0 in n 10.984 * [backup-simplify]: Simplify 1.0 into 1.0 10.984 * [taylor]: Taking taylor expansion of k in n 10.984 * [backup-simplify]: Simplify k into k 10.984 * [taylor]: Taking taylor expansion of (log n) in n 10.984 * [taylor]: Taking taylor expansion of n in n 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 1 into 1 10.985 * [backup-simplify]: Simplify (log 1) into 0 10.985 * [backup-simplify]: Simplify (- k) into (- k) 10.985 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.985 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.985 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.985 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.986 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.986 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 10.986 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 10.986 * [taylor]: Taking taylor expansion of 0.5 in k 10.986 * [backup-simplify]: Simplify 0.5 into 0.5 10.986 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 10.986 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.986 * [taylor]: Taking taylor expansion of 1.0 in k 10.986 * [backup-simplify]: Simplify 1.0 into 1.0 10.986 * [taylor]: Taking taylor expansion of k in k 10.986 * [backup-simplify]: Simplify 0 into 0 10.986 * [backup-simplify]: Simplify 1 into 1 10.986 * [taylor]: Taking taylor expansion of (log n) in k 10.986 * [taylor]: Taking taylor expansion of n in k 10.986 * [backup-simplify]: Simplify n into n 10.986 * [backup-simplify]: Simplify (log n) into (log n) 10.987 * [backup-simplify]: Simplify (- 0) into 0 10.987 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.987 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.987 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 10.987 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.988 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 10.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.990 * [backup-simplify]: Simplify (- 0) into 0 10.990 * [backup-simplify]: Simplify (+ 0 0) into 0 10.991 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 10.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.991 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 10.992 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.992 * [taylor]: Taking taylor expansion of 0 in k 10.992 * [backup-simplify]: Simplify 0 into 0 10.992 * [backup-simplify]: Simplify 0 into 0 10.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.994 * [backup-simplify]: Simplify (- 1) into -1 10.994 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.995 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 10.995 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 10.996 * [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))) 10.996 * [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))) 10.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.000 * [backup-simplify]: Simplify (- 0) into 0 11.000 * [backup-simplify]: Simplify (+ 0 0) into 0 11.001 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.001 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.002 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.004 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.004 * [taylor]: Taking taylor expansion of 0 in k 11.004 * [backup-simplify]: Simplify 0 into 0 11.004 * [backup-simplify]: Simplify 0 into 0 11.004 * [backup-simplify]: Simplify 0 into 0 11.006 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.006 * [backup-simplify]: Simplify (- 0) into 0 11.006 * [backup-simplify]: Simplify (+ 0 0) into 0 11.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.015 * [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))) 11.016 * [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))) 11.017 * [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)))) 11.018 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.018 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.018 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.018 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.018 * [taylor]: Taking taylor expansion of 0.5 in k 11.018 * [backup-simplify]: Simplify 0.5 into 0.5 11.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.018 * [taylor]: Taking taylor expansion of 1.0 in k 11.018 * [backup-simplify]: Simplify 1.0 into 1.0 11.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.018 * [taylor]: Taking taylor expansion of k in k 11.018 * [backup-simplify]: Simplify 0 into 0 11.018 * [backup-simplify]: Simplify 1 into 1 11.019 * [backup-simplify]: Simplify (/ 1 1) into 1 11.019 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.019 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.019 * [taylor]: Taking taylor expansion of n in k 11.019 * [backup-simplify]: Simplify n into n 11.019 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.019 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.019 * [backup-simplify]: Simplify (- 1) into -1 11.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.020 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.020 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.021 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.021 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.021 * [taylor]: Taking taylor expansion of 0.5 in n 11.021 * [backup-simplify]: Simplify 0.5 into 0.5 11.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.021 * [taylor]: Taking taylor expansion of 1.0 in n 11.021 * [backup-simplify]: Simplify 1.0 into 1.0 11.021 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.021 * [taylor]: Taking taylor expansion of k in n 11.021 * [backup-simplify]: Simplify k into k 11.021 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.021 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.021 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.021 * [taylor]: Taking taylor expansion of n in n 11.021 * [backup-simplify]: Simplify 0 into 0 11.021 * [backup-simplify]: Simplify 1 into 1 11.022 * [backup-simplify]: Simplify (/ 1 1) into 1 11.022 * [backup-simplify]: Simplify (log 1) into 0 11.022 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.022 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.022 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.023 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.023 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.023 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.024 * [taylor]: Taking taylor expansion of 0.5 in n 11.024 * [backup-simplify]: Simplify 0.5 into 0.5 11.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.024 * [taylor]: Taking taylor expansion of 1.0 in n 11.024 * [backup-simplify]: Simplify 1.0 into 1.0 11.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.024 * [taylor]: Taking taylor expansion of k in n 11.024 * [backup-simplify]: Simplify k into k 11.024 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.024 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.024 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.024 * [taylor]: Taking taylor expansion of n in n 11.024 * [backup-simplify]: Simplify 0 into 0 11.024 * [backup-simplify]: Simplify 1 into 1 11.024 * [backup-simplify]: Simplify (/ 1 1) into 1 11.025 * [backup-simplify]: Simplify (log 1) into 0 11.025 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.025 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.025 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.026 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.026 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.026 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.026 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.026 * [taylor]: Taking taylor expansion of -0.5 in k 11.026 * [backup-simplify]: Simplify -0.5 into -0.5 11.026 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.026 * [taylor]: Taking taylor expansion of (log n) in k 11.026 * [taylor]: Taking taylor expansion of n in k 11.026 * [backup-simplify]: Simplify n into n 11.026 * [backup-simplify]: Simplify (log n) into (log n) 11.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.027 * [taylor]: Taking taylor expansion of 1.0 in k 11.027 * [backup-simplify]: Simplify 1.0 into 1.0 11.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.027 * [taylor]: Taking taylor expansion of k in k 11.027 * [backup-simplify]: Simplify 0 into 0 11.027 * [backup-simplify]: Simplify 1 into 1 11.027 * [backup-simplify]: Simplify (/ 1 1) into 1 11.027 * [backup-simplify]: Simplify (- 1) into -1 11.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.028 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.028 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.028 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.029 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.031 * [backup-simplify]: Simplify (- 0) into 0 11.032 * [backup-simplify]: Simplify (+ 0 0) into 0 11.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.033 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.034 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.034 * [taylor]: Taking taylor expansion of 0 in k 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 0 into 0 11.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.039 * [backup-simplify]: Simplify (- 0) into 0 11.039 * [backup-simplify]: Simplify (+ 0 0) into 0 11.040 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.041 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.041 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.043 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.043 * [taylor]: Taking taylor expansion of 0 in k 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 0 into 0 11.043 * [backup-simplify]: Simplify 0 into 0 11.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.050 * [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 11.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.051 * [backup-simplify]: Simplify (- 0) into 0 11.052 * [backup-simplify]: Simplify (+ 0 0) into 0 11.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.054 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.055 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.056 * [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 11.057 * [taylor]: Taking taylor expansion of 0 in k 11.057 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.057 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.057 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.057 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.057 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.057 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.057 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.057 * [taylor]: Taking taylor expansion of 0.5 in k 11.057 * [backup-simplify]: Simplify 0.5 into 0.5 11.057 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.058 * [taylor]: Taking taylor expansion of k in k 11.058 * [backup-simplify]: Simplify 0 into 0 11.058 * [backup-simplify]: Simplify 1 into 1 11.058 * [backup-simplify]: Simplify (/ 1 1) into 1 11.058 * [taylor]: Taking taylor expansion of 1.0 in k 11.058 * [backup-simplify]: Simplify 1.0 into 1.0 11.058 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.058 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.058 * [taylor]: Taking taylor expansion of -1 in k 11.058 * [backup-simplify]: Simplify -1 into -1 11.058 * [taylor]: Taking taylor expansion of n in k 11.058 * [backup-simplify]: Simplify n into n 11.058 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.058 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.059 * [backup-simplify]: Simplify (+ 1 0) into 1 11.059 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.059 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.060 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.060 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.060 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.060 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.060 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.060 * [taylor]: Taking taylor expansion of 0.5 in n 11.060 * [backup-simplify]: Simplify 0.5 into 0.5 11.060 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.060 * [taylor]: Taking taylor expansion of k in n 11.060 * [backup-simplify]: Simplify k into k 11.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.060 * [taylor]: Taking taylor expansion of 1.0 in n 11.060 * [backup-simplify]: Simplify 1.0 into 1.0 11.060 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.060 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.060 * [taylor]: Taking taylor expansion of -1 in n 11.060 * [backup-simplify]: Simplify -1 into -1 11.060 * [taylor]: Taking taylor expansion of n in n 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 1 into 1 11.061 * [backup-simplify]: Simplify (/ -1 1) into -1 11.061 * [backup-simplify]: Simplify (log -1) into (log -1) 11.061 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.062 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.063 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.064 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.064 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.064 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.064 * [taylor]: Taking taylor expansion of 0.5 in n 11.064 * [backup-simplify]: Simplify 0.5 into 0.5 11.064 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.064 * [taylor]: Taking taylor expansion of k in n 11.064 * [backup-simplify]: Simplify k into k 11.064 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.064 * [taylor]: Taking taylor expansion of 1.0 in n 11.064 * [backup-simplify]: Simplify 1.0 into 1.0 11.064 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.064 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.064 * [taylor]: Taking taylor expansion of -1 in n 11.064 * [backup-simplify]: Simplify -1 into -1 11.064 * [taylor]: Taking taylor expansion of n in n 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 1 into 1 11.065 * [backup-simplify]: Simplify (/ -1 1) into -1 11.065 * [backup-simplify]: Simplify (log -1) into (log -1) 11.066 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.066 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.067 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.068 * [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)))) 11.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.068 * [taylor]: Taking taylor expansion of 0.5 in k 11.068 * [backup-simplify]: Simplify 0.5 into 0.5 11.068 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.068 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.068 * [taylor]: Taking taylor expansion of (log -1) in k 11.068 * [taylor]: Taking taylor expansion of -1 in k 11.068 * [backup-simplify]: Simplify -1 into -1 11.069 * [backup-simplify]: Simplify (log -1) into (log -1) 11.069 * [taylor]: Taking taylor expansion of (log n) in k 11.069 * [taylor]: Taking taylor expansion of n in k 11.069 * [backup-simplify]: Simplify n into n 11.069 * [backup-simplify]: Simplify (log n) into (log n) 11.069 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.069 * [taylor]: Taking taylor expansion of k in k 11.069 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify 1 into 1 11.069 * [backup-simplify]: Simplify (/ 1 1) into 1 11.069 * [taylor]: Taking taylor expansion of 1.0 in k 11.069 * [backup-simplify]: Simplify 1.0 into 1.0 11.069 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.070 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.070 * [backup-simplify]: Simplify (+ 1 0) into 1 11.071 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.071 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.072 * [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)))) 11.072 * [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)))) 11.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.074 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.075 * [backup-simplify]: Simplify (+ 0 0) into 0 11.075 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.076 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.077 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.078 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.078 * [taylor]: Taking taylor expansion of 0 in k 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.083 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.083 * [backup-simplify]: Simplify (+ 0 0) into 0 11.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.086 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.088 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.088 * [taylor]: Taking taylor expansion of 0 in k 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify 0 into 0 11.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.095 * [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 11.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.096 * [backup-simplify]: Simplify (+ 0 0) into 0 11.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.099 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.102 * [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 11.102 * [taylor]: Taking taylor expansion of 0 in k 11.102 * [backup-simplify]: Simplify 0 into 0 11.102 * [backup-simplify]: Simplify 0 into 0 11.103 * [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)))))) 11.103 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 11.103 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.103 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.103 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.103 * [taylor]: Taking taylor expansion of 0.5 in k 11.103 * [backup-simplify]: Simplify 0.5 into 0.5 11.103 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.103 * [taylor]: Taking taylor expansion of 1.0 in k 11.103 * [backup-simplify]: Simplify 1.0 into 1.0 11.103 * [taylor]: Taking taylor expansion of k in k 11.103 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [taylor]: Taking taylor expansion of (log PI) in k 11.104 * [taylor]: Taking taylor expansion of PI in k 11.104 * [backup-simplify]: Simplify PI into PI 11.104 * [backup-simplify]: Simplify (log PI) into (log PI) 11.104 * [backup-simplify]: Simplify (- 0) into 0 11.105 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.105 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.106 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.108 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.108 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.108 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.108 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.108 * [taylor]: Taking taylor expansion of 0.5 in k 11.108 * [backup-simplify]: Simplify 0.5 into 0.5 11.108 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.108 * [taylor]: Taking taylor expansion of 1.0 in k 11.108 * [backup-simplify]: Simplify 1.0 into 1.0 11.108 * [taylor]: Taking taylor expansion of k in k 11.108 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify 1 into 1 11.108 * [taylor]: Taking taylor expansion of (log PI) in k 11.108 * [taylor]: Taking taylor expansion of PI in k 11.108 * [backup-simplify]: Simplify PI into PI 11.109 * [backup-simplify]: Simplify (log PI) into (log PI) 11.109 * [backup-simplify]: Simplify (- 0) into 0 11.110 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.110 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.111 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.112 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.113 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.115 * [backup-simplify]: Simplify (- 1) into -1 11.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.117 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.120 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.129 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.132 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.136 * [backup-simplify]: Simplify (- 0) into 0 11.136 * [backup-simplify]: Simplify (+ 0 0) into 0 11.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.152 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.157 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.163 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 11.163 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.163 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.163 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.164 * [taylor]: Taking taylor expansion of 0.5 in k 11.164 * [backup-simplify]: Simplify 0.5 into 0.5 11.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.164 * [taylor]: Taking taylor expansion of 1.0 in k 11.164 * [backup-simplify]: Simplify 1.0 into 1.0 11.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.164 * [taylor]: Taking taylor expansion of k in k 11.164 * [backup-simplify]: Simplify 0 into 0 11.164 * [backup-simplify]: Simplify 1 into 1 11.164 * [backup-simplify]: Simplify (/ 1 1) into 1 11.164 * [taylor]: Taking taylor expansion of (log PI) in k 11.164 * [taylor]: Taking taylor expansion of PI in k 11.164 * [backup-simplify]: Simplify PI into PI 11.170 * [backup-simplify]: Simplify (log PI) into (log PI) 11.170 * [backup-simplify]: Simplify (- 1) into -1 11.171 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.171 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.172 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.172 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.172 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.172 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.172 * [taylor]: Taking taylor expansion of 0.5 in k 11.172 * [backup-simplify]: Simplify 0.5 into 0.5 11.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.172 * [taylor]: Taking taylor expansion of 1.0 in k 11.172 * [backup-simplify]: Simplify 1.0 into 1.0 11.172 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.172 * [taylor]: Taking taylor expansion of k in k 11.172 * [backup-simplify]: Simplify 0 into 0 11.172 * [backup-simplify]: Simplify 1 into 1 11.173 * [backup-simplify]: Simplify (/ 1 1) into 1 11.173 * [taylor]: Taking taylor expansion of (log PI) in k 11.173 * [taylor]: Taking taylor expansion of PI in k 11.173 * [backup-simplify]: Simplify PI into PI 11.173 * [backup-simplify]: Simplify (log PI) into (log PI) 11.173 * [backup-simplify]: Simplify (- 1) into -1 11.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.174 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.174 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.175 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.175 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.175 * [backup-simplify]: Simplify 0 into 0 11.176 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.176 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.176 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.176 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.176 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.176 * [taylor]: Taking taylor expansion of 0.5 in k 11.176 * [backup-simplify]: Simplify 0.5 into 0.5 11.176 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.176 * [taylor]: Taking taylor expansion of k in k 11.176 * [backup-simplify]: Simplify 0 into 0 11.176 * [backup-simplify]: Simplify 1 into 1 11.177 * [backup-simplify]: Simplify (/ 1 1) into 1 11.177 * [taylor]: Taking taylor expansion of 1.0 in k 11.177 * [backup-simplify]: Simplify 1.0 into 1.0 11.177 * [taylor]: Taking taylor expansion of (log PI) in k 11.177 * [taylor]: Taking taylor expansion of PI in k 11.177 * [backup-simplify]: Simplify PI into PI 11.177 * [backup-simplify]: Simplify (log PI) into (log PI) 11.177 * [backup-simplify]: Simplify (+ 1 0) into 1 11.178 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.178 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.178 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.179 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.179 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.179 * [taylor]: Taking taylor expansion of 0.5 in k 11.179 * [backup-simplify]: Simplify 0.5 into 0.5 11.179 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.179 * [taylor]: Taking taylor expansion of k in k 11.179 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify 1 into 1 11.179 * [backup-simplify]: Simplify (/ 1 1) into 1 11.179 * [taylor]: Taking taylor expansion of 1.0 in k 11.179 * [backup-simplify]: Simplify 1.0 into 1.0 11.179 * [taylor]: Taking taylor expansion of (log PI) in k 11.179 * [taylor]: Taking taylor expansion of PI in k 11.179 * [backup-simplify]: Simplify PI into PI 11.179 * [backup-simplify]: Simplify (log PI) into (log PI) 11.180 * [backup-simplify]: Simplify (+ 1 0) into 1 11.180 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.180 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.181 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.181 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.182 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 11.182 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 11.182 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.182 * [taylor]: Taking taylor expansion of 1.0 in k 11.182 * [backup-simplify]: Simplify 1.0 into 1.0 11.182 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.182 * [taylor]: Taking taylor expansion of k in k 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (/ 1 1) into 1 11.183 * [backup-simplify]: Simplify (sqrt 0) into 0 11.184 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.184 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.184 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.184 * [taylor]: Taking taylor expansion of 0.5 in k 11.184 * [backup-simplify]: Simplify 0.5 into 0.5 11.184 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.184 * [taylor]: Taking taylor expansion of 1.0 in k 11.184 * [backup-simplify]: Simplify 1.0 into 1.0 11.184 * [taylor]: Taking taylor expansion of k in k 11.184 * [backup-simplify]: Simplify 0 into 0 11.184 * [backup-simplify]: Simplify 1 into 1 11.184 * [taylor]: Taking taylor expansion of (log PI) in k 11.184 * [taylor]: Taking taylor expansion of PI in k 11.184 * [backup-simplify]: Simplify PI into PI 11.184 * [backup-simplify]: Simplify (log PI) into (log PI) 11.185 * [backup-simplify]: Simplify (- 0) into 0 11.185 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.185 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.186 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.187 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.187 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.187 * [taylor]: Taking taylor expansion of 0.5 in k 11.187 * [backup-simplify]: Simplify 0.5 into 0.5 11.187 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.187 * [taylor]: Taking taylor expansion of 1.0 in k 11.187 * [backup-simplify]: Simplify 1.0 into 1.0 11.187 * [taylor]: Taking taylor expansion of k in k 11.187 * [backup-simplify]: Simplify 0 into 0 11.187 * [backup-simplify]: Simplify 1 into 1 11.187 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.187 * [taylor]: Taking taylor expansion of 2.0 in k 11.187 * [backup-simplify]: Simplify 2.0 into 2.0 11.187 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.188 * [backup-simplify]: Simplify (- 0) into 0 11.188 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.188 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.189 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.190 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.190 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.190 * [taylor]: Taking taylor expansion of 1.0 in k 11.190 * [backup-simplify]: Simplify 1.0 into 1.0 11.190 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.190 * [taylor]: Taking taylor expansion of k in k 11.190 * [backup-simplify]: Simplify 0 into 0 11.190 * [backup-simplify]: Simplify 1 into 1 11.190 * [backup-simplify]: Simplify (/ 1 1) into 1 11.190 * [backup-simplify]: Simplify (sqrt 0) into 0 11.191 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.191 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.191 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.191 * [taylor]: Taking taylor expansion of 0.5 in k 11.191 * [backup-simplify]: Simplify 0.5 into 0.5 11.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.191 * [taylor]: Taking taylor expansion of 1.0 in k 11.191 * [backup-simplify]: Simplify 1.0 into 1.0 11.191 * [taylor]: Taking taylor expansion of k in k 11.191 * [backup-simplify]: Simplify 0 into 0 11.191 * [backup-simplify]: Simplify 1 into 1 11.191 * [taylor]: Taking taylor expansion of (log PI) in k 11.191 * [taylor]: Taking taylor expansion of PI in k 11.191 * [backup-simplify]: Simplify PI into PI 11.192 * [backup-simplify]: Simplify (log PI) into (log PI) 11.192 * [backup-simplify]: Simplify (- 0) into 0 11.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.192 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.193 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.194 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.194 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.194 * [taylor]: Taking taylor expansion of 0.5 in k 11.194 * [backup-simplify]: Simplify 0.5 into 0.5 11.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.194 * [taylor]: Taking taylor expansion of 1.0 in k 11.194 * [backup-simplify]: Simplify 1.0 into 1.0 11.194 * [taylor]: Taking taylor expansion of k in k 11.194 * [backup-simplify]: Simplify 0 into 0 11.194 * [backup-simplify]: Simplify 1 into 1 11.194 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.194 * [taylor]: Taking taylor expansion of 2.0 in k 11.194 * [backup-simplify]: Simplify 2.0 into 2.0 11.195 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.195 * [backup-simplify]: Simplify (- 0) into 0 11.195 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.195 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.196 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.197 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.198 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 11.199 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 11.199 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.199 * [backup-simplify]: Simplify 0 into 0 11.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.200 * [backup-simplify]: Simplify (- 1) into -1 11.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.201 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.208 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 11.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.210 * [backup-simplify]: Simplify (- 1) into -1 11.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.211 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.218 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.229 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 11.240 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.248 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.251 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 11.253 * [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 1.0))) into 0 11.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.262 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 11.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.264 * [backup-simplify]: Simplify (- 0) into 0 11.265 * [backup-simplify]: Simplify (+ 0 0) into 0 11.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.283 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.310 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 11.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.313 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.343 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 11.388 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 11.418 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 11.421 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 11.421 * [backup-simplify]: Simplify (- 0) into 0 11.421 * [backup-simplify]: Simplify (+ 0 0) into 0 11.422 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.438 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 11.445 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 11.445 * [backup-simplify]: Simplify (- 0) into 0 11.446 * [backup-simplify]: Simplify (+ 0 0) into 0 11.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 11.465 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 11.504 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 11.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.618 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 11.767 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 11.877 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 12.007 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 12.008 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 12.008 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 12.008 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.008 * [taylor]: Taking taylor expansion of 1.0 in k 12.008 * [backup-simplify]: Simplify 1.0 into 1.0 12.008 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.008 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.008 * [taylor]: Taking taylor expansion of k in k 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.009 * [backup-simplify]: Simplify (sqrt 0) into 0 12.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.010 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.010 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.010 * [taylor]: Taking taylor expansion of 0.5 in k 12.011 * [backup-simplify]: Simplify 0.5 into 0.5 12.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.011 * [taylor]: Taking taylor expansion of 1.0 in k 12.011 * [backup-simplify]: Simplify 1.0 into 1.0 12.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.011 * [taylor]: Taking taylor expansion of k in k 12.011 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify 1 into 1 12.011 * [backup-simplify]: Simplify (/ 1 1) into 1 12.011 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.011 * [taylor]: Taking taylor expansion of 2.0 in k 12.011 * [backup-simplify]: Simplify 2.0 into 2.0 12.012 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.012 * [backup-simplify]: Simplify (- 1) into -1 12.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.013 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.014 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.015 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.015 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.015 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.015 * [taylor]: Taking taylor expansion of 0.5 in k 12.015 * [backup-simplify]: Simplify 0.5 into 0.5 12.015 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.015 * [taylor]: Taking taylor expansion of 1.0 in k 12.015 * [backup-simplify]: Simplify 1.0 into 1.0 12.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.015 * [taylor]: Taking taylor expansion of k in k 12.016 * [backup-simplify]: Simplify 0 into 0 12.016 * [backup-simplify]: Simplify 1 into 1 12.016 * [backup-simplify]: Simplify (/ 1 1) into 1 12.016 * [taylor]: Taking taylor expansion of (log PI) in k 12.016 * [taylor]: Taking taylor expansion of PI in k 12.016 * [backup-simplify]: Simplify PI into PI 12.017 * [backup-simplify]: Simplify (log PI) into (log PI) 12.017 * [backup-simplify]: Simplify (- 1) into -1 12.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.018 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.019 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.020 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.020 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.020 * [taylor]: Taking taylor expansion of 1.0 in k 12.020 * [backup-simplify]: Simplify 1.0 into 1.0 12.020 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.020 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.020 * [taylor]: Taking taylor expansion of k in k 12.020 * [backup-simplify]: Simplify 0 into 0 12.020 * [backup-simplify]: Simplify 1 into 1 12.021 * [backup-simplify]: Simplify (sqrt 0) into 0 12.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.022 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.022 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.022 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.022 * [taylor]: Taking taylor expansion of 0.5 in k 12.022 * [backup-simplify]: Simplify 0.5 into 0.5 12.022 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.022 * [taylor]: Taking taylor expansion of 1.0 in k 12.022 * [backup-simplify]: Simplify 1.0 into 1.0 12.022 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.022 * [taylor]: Taking taylor expansion of k in k 12.023 * [backup-simplify]: Simplify 0 into 0 12.023 * [backup-simplify]: Simplify 1 into 1 12.023 * [backup-simplify]: Simplify (/ 1 1) into 1 12.023 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.023 * [taylor]: Taking taylor expansion of 2.0 in k 12.023 * [backup-simplify]: Simplify 2.0 into 2.0 12.023 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.024 * [backup-simplify]: Simplify (- 1) into -1 12.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.025 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.026 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.026 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.026 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.026 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.027 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.027 * [taylor]: Taking taylor expansion of 0.5 in k 12.027 * [backup-simplify]: Simplify 0.5 into 0.5 12.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.027 * [taylor]: Taking taylor expansion of 1.0 in k 12.027 * [backup-simplify]: Simplify 1.0 into 1.0 12.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.027 * [taylor]: Taking taylor expansion of k in k 12.027 * [backup-simplify]: Simplify 0 into 0 12.027 * [backup-simplify]: Simplify 1 into 1 12.027 * [backup-simplify]: Simplify (/ 1 1) into 1 12.027 * [taylor]: Taking taylor expansion of (log PI) in k 12.027 * [taylor]: Taking taylor expansion of PI in k 12.027 * [backup-simplify]: Simplify PI into PI 12.028 * [backup-simplify]: Simplify (log PI) into (log PI) 12.028 * [backup-simplify]: Simplify (- 1) into -1 12.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.029 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.030 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.030 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.031 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 12.031 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 12.032 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.032 * [backup-simplify]: Simplify 0 into 0 12.033 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 12.033 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.035 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.035 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.036 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 12.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.041 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.042 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.043 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 12.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.050 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.050 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.054 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 12.054 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 12.054 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 12.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.055 * [taylor]: Taking taylor expansion of 1.0 in k 12.055 * [backup-simplify]: Simplify 1.0 into 1.0 12.055 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.055 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.055 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.055 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.055 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.055 * [taylor]: Taking taylor expansion of 0.5 in k 12.055 * [backup-simplify]: Simplify 0.5 into 0.5 12.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.055 * [taylor]: Taking taylor expansion of k in k 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.056 * [backup-simplify]: Simplify (/ 1 1) into 1 12.056 * [taylor]: Taking taylor expansion of 1.0 in k 12.056 * [backup-simplify]: Simplify 1.0 into 1.0 12.056 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.056 * [taylor]: Taking taylor expansion of 2.0 in k 12.056 * [backup-simplify]: Simplify 2.0 into 2.0 12.056 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.057 * [backup-simplify]: Simplify (+ 1 0) into 1 12.057 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.058 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.059 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.059 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.059 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.059 * [taylor]: Taking taylor expansion of 0.5 in k 12.059 * [backup-simplify]: Simplify 0.5 into 0.5 12.059 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.059 * [taylor]: Taking taylor expansion of k in k 12.059 * [backup-simplify]: Simplify 0 into 0 12.059 * [backup-simplify]: Simplify 1 into 1 12.060 * [backup-simplify]: Simplify (/ 1 1) into 1 12.060 * [taylor]: Taking taylor expansion of 1.0 in k 12.060 * [backup-simplify]: Simplify 1.0 into 1.0 12.060 * [taylor]: Taking taylor expansion of (log PI) in k 12.060 * [taylor]: Taking taylor expansion of PI in k 12.060 * [backup-simplify]: Simplify PI into PI 12.060 * [backup-simplify]: Simplify (log PI) into (log PI) 12.061 * [backup-simplify]: Simplify (+ 1 0) into 1 12.061 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.062 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.063 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.063 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.063 * [taylor]: Taking taylor expansion of -1 in k 12.063 * [backup-simplify]: Simplify -1 into -1 12.063 * [taylor]: Taking taylor expansion of k in k 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [backup-simplify]: Simplify (/ -1 1) into -1 12.064 * [backup-simplify]: Simplify (sqrt 0) into 0 12.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.066 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.068 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.068 * [taylor]: Taking taylor expansion of 1.0 in k 12.068 * [backup-simplify]: Simplify 1.0 into 1.0 12.068 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.068 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.068 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.068 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.068 * [taylor]: Taking taylor expansion of 0.5 in k 12.068 * [backup-simplify]: Simplify 0.5 into 0.5 12.068 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.068 * [taylor]: Taking taylor expansion of k in k 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify 1 into 1 12.069 * [backup-simplify]: Simplify (/ 1 1) into 1 12.069 * [taylor]: Taking taylor expansion of 1.0 in k 12.069 * [backup-simplify]: Simplify 1.0 into 1.0 12.069 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.069 * [taylor]: Taking taylor expansion of 2.0 in k 12.069 * [backup-simplify]: Simplify 2.0 into 2.0 12.070 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.070 * [backup-simplify]: Simplify (+ 1 0) into 1 12.071 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.072 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.072 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.072 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.072 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.072 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.072 * [taylor]: Taking taylor expansion of 0.5 in k 12.072 * [backup-simplify]: Simplify 0.5 into 0.5 12.072 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.072 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.072 * [taylor]: Taking taylor expansion of k in k 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify 1 into 1 12.073 * [backup-simplify]: Simplify (/ 1 1) into 1 12.073 * [taylor]: Taking taylor expansion of 1.0 in k 12.073 * [backup-simplify]: Simplify 1.0 into 1.0 12.073 * [taylor]: Taking taylor expansion of (log PI) in k 12.073 * [taylor]: Taking taylor expansion of PI in k 12.073 * [backup-simplify]: Simplify PI into PI 12.073 * [backup-simplify]: Simplify (log PI) into (log PI) 12.074 * [backup-simplify]: Simplify (+ 1 0) into 1 12.074 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.075 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.076 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.076 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.076 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.076 * [taylor]: Taking taylor expansion of -1 in k 12.076 * [backup-simplify]: Simplify -1 into -1 12.076 * [taylor]: Taking taylor expansion of k in k 12.076 * [backup-simplify]: Simplify 0 into 0 12.076 * [backup-simplify]: Simplify 1 into 1 12.077 * [backup-simplify]: Simplify (/ -1 1) into -1 12.077 * [backup-simplify]: Simplify (sqrt 0) into 0 12.079 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.080 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.081 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.082 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.084 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.085 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.089 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.091 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.094 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.095 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.097 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.105 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.110 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.111 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.116 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.116 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.116 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.116 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.116 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.117 * [taylor]: Taking taylor expansion of 1.0 in k 12.117 * [backup-simplify]: Simplify 1.0 into 1.0 12.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.117 * [taylor]: Taking taylor expansion of k in k 12.117 * [backup-simplify]: Simplify 0 into 0 12.117 * [backup-simplify]: Simplify 1 into 1 12.117 * [backup-simplify]: Simplify (/ 1 1) into 1 12.117 * [backup-simplify]: Simplify (sqrt 0) into 0 12.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.118 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.118 * [taylor]: Taking taylor expansion of 1.0 in k 12.118 * [backup-simplify]: Simplify 1.0 into 1.0 12.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.118 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.118 * [taylor]: Taking taylor expansion of k in k 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify 1 into 1 12.118 * [backup-simplify]: Simplify (/ 1 1) into 1 12.119 * [backup-simplify]: Simplify (sqrt 0) into 0 12.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.120 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.120 * [backup-simplify]: Simplify 0 into 0 12.121 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.121 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.124 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.125 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.135 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.135 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.136 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.136 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.136 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.136 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt 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 (sqrt 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 12.137 * [backup-simplify]: Simplify (sqrt 0) into 0 12.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.137 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.137 * [taylor]: Taking taylor expansion of 1.0 in k 12.137 * [backup-simplify]: Simplify 1.0 into 1.0 12.137 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.137 * [taylor]: Taking taylor expansion of k in k 12.138 * [backup-simplify]: Simplify 0 into 0 12.138 * [backup-simplify]: Simplify 1 into 1 12.138 * [backup-simplify]: Simplify (sqrt 0) into 0 12.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.139 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.139 * [backup-simplify]: Simplify 0 into 0 12.140 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.140 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.142 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.143 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.144 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.149 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.149 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.151 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.151 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.151 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.151 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.151 * [taylor]: Taking taylor expansion of 1.0 in k 12.151 * [backup-simplify]: Simplify 1.0 into 1.0 12.152 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.152 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.152 * [taylor]: Taking taylor expansion of -1 in k 12.152 * [backup-simplify]: Simplify -1 into -1 12.152 * [taylor]: Taking taylor expansion of k in k 12.152 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify 1 into 1 12.152 * [backup-simplify]: Simplify (/ -1 1) into -1 12.153 * [backup-simplify]: Simplify (sqrt 0) into 0 12.154 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.154 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.155 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.155 * [taylor]: Taking taylor expansion of 1.0 in k 12.155 * [backup-simplify]: Simplify 1.0 into 1.0 12.155 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.155 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.155 * [taylor]: Taking taylor expansion of -1 in k 12.155 * [backup-simplify]: Simplify -1 into -1 12.155 * [taylor]: Taking taylor expansion of k in k 12.155 * [backup-simplify]: Simplify 0 into 0 12.155 * [backup-simplify]: Simplify 1 into 1 12.155 * [backup-simplify]: Simplify (/ -1 1) into -1 12.156 * [backup-simplify]: Simplify (sqrt 0) into 0 12.157 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.157 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.158 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.161 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.164 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.165 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.175 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.175 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.176 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.176 * * * [progress]: simplifying candidates 12.182 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 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2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.192 * * [simplify]: Extracting # 0 : cost 0 12.193 * * [simplify]: Extracting # 1 : cost 0 12.193 * * [simplify]: Extracting # 2 : cost 0 12.194 * * [simplify]: Extracting # 3 : cost 0 12.195 * * [simplify]: Extracting # 4 : cost 0 12.196 * * [simplify]: Extracting # 5 : cost 0 12.197 * * [simplify]: Extracting # 6 : cost 0 12.198 * * [simplify]: Extracting # 7 : cost 0 12.199 * * [simplify]: Extracting # 8 : cost 0 12.200 * * [simplify]: Extracting # 9 : cost 0 12.201 * * [simplify]: Extracting # 10 : cost 0 12.202 * * [simplify]: Extracting # 11 : cost 0 12.203 * * [simplify]: Extracting # 12 : cost 0 12.204 * * [simplify]: Extracting # 13 : cost 0 12.206 * * [simplify]: Extracting # 14 : cost 0 12.207 * * [simplify]: Extracting # 15 : cost 0 12.209 * * [simplify]: Extracting # 16 : cost 0 12.210 * * [simplify]: Extracting # 17 : cost 0 12.211 * * [simplify]: Extracting # 18 : cost 0 12.212 * * [simplify]: Extracting # 19 : cost 0 12.213 * * [simplify]: Extracting # 20 : cost 0 12.214 * * [simplify]: Extracting # 21 : cost 0 12.215 * * [simplify]: Extracting # 22 : cost 0 12.217 * * [simplify]: Extracting # 23 : cost 0 12.218 * * [simplify]: Extracting # 24 : cost 0 12.219 * * [simplify]: Extracting # 25 : cost 0 12.220 * * [simplify]: Extracting # 26 : cost 0 12.222 * * [simplify]: Extracting # 27 : cost 0 12.223 * * [simplify]: Extracting # 28 : cost 0 12.224 * * [simplify]: Extracting # 29 : cost 0 12.225 * * [simplify]: Extracting # 30 : cost 0 12.225 * * [simplify]: Extracting # 31 : cost 0 12.226 * * [simplify]: Extracting # 32 : cost 0 12.226 * * [simplify]: iteration 0 : 376 enodes (cost 3141 ) 12.386 * * [simplify]: Extracting # 0 : cost 0 12.388 * * [simplify]: Extracting # 1 : cost 0 12.390 * * [simplify]: Extracting # 2 : cost 0 12.393 * * [simplify]: Extracting # 3 : cost 0 12.396 * * [simplify]: Extracting # 4 : cost 0 12.399 * * [simplify]: Extracting # 5 : cost 0 12.402 * * [simplify]: Extracting # 6 : cost 0 12.404 * * [simplify]: iteration 1 : 1009 enodes (cost 2818 ) 12.960 * * [simplify]: Extracting # 0 : cost 0 12.968 * * [simplify]: Extracting # 1 : cost 0 12.977 * * [simplify]: Extracting # 2 : cost 0 12.985 * * [simplify]: Extracting # 3 : cost 0 12.990 * * [simplify]: Extracting # 4 : cost 0 12.994 * * [simplify]: Extracting # 5 : cost 0 12.998 * * [simplify]: iteration 2 : 3212 enodes (cost 2638 ) 14.356 * * [simplify]: Extracting # 0 : cost 0 14.368 * * [simplify]: Extracting # 1 : cost 0 14.382 * * [simplify]: Extracting # 2 : cost 0 14.406 * * [simplify]: Extracting # 3 : cost 0 14.419 * * [simplify]: Extracting # 4 : cost 0 14.432 * * [simplify]: iteration done: 5001 enodes (cost 2624 ) 14.434 * [simplify]: Simplified to: (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 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2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 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(/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))) (+ (/ (* (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (- +nan.0)) (* k k)) (* +nan.0 (- (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) k) (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) k) (* (/ (pow PI (* 0.5 (- 1.0 k))) k) (/ (pow (pow 2.0 (- 1.0 k)) 0.5) k)))) (* (* (pow (pow 2.0 (- 1.0 k)) 0.5) (pow PI (* 0.5 (- 1.0 k)))) (- +nan.0))) (- (- (* +nan.0 k) (- (* +nan.0 (pow k 2)) +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) 14.435 * * * [progress]: adding candidates to table 15.313 * * [progress]: iteration 4 / 4 15.313 * * * [progress]: picking best candidate 15.327 * * * * [pick]: Picked # 15.327 * * * [progress]: localizing error 15.357 * * * [progress]: generating rewritten candidates 15.357 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 15.365 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 15.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 15.425 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 15.526 * * * [progress]: generating series expansions 15.527 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 15.527 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 15.527 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 15.527 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 15.527 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 15.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 15.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 15.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 15.527 * [taylor]: Taking taylor expansion of 0.5 in k 15.527 * [backup-simplify]: Simplify 0.5 into 0.5 15.527 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.527 * [taylor]: Taking taylor expansion of 1.0 in k 15.527 * [backup-simplify]: Simplify 1.0 into 1.0 15.527 * [taylor]: Taking taylor expansion of k in k 15.527 * [backup-simplify]: Simplify 0 into 0 15.527 * [backup-simplify]: Simplify 1 into 1 15.527 * [taylor]: Taking taylor expansion of (log n) in k 15.527 * [taylor]: Taking taylor expansion of n in k 15.527 * [backup-simplify]: Simplify n into n 15.527 * [backup-simplify]: Simplify (log n) into (log n) 15.528 * [backup-simplify]: Simplify (- 0) into 0 15.528 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.528 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 15.528 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 15.528 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.528 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.528 * [taylor]: Taking taylor expansion of 0.5 in n 15.528 * [backup-simplify]: Simplify 0.5 into 0.5 15.528 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.529 * [taylor]: Taking taylor expansion of 1.0 in n 15.529 * [backup-simplify]: Simplify 1.0 into 1.0 15.529 * [taylor]: Taking taylor expansion of k in n 15.529 * [backup-simplify]: Simplify k into k 15.529 * [taylor]: Taking taylor expansion of (log n) in n 15.529 * [taylor]: Taking taylor expansion of n in n 15.529 * [backup-simplify]: Simplify 0 into 0 15.529 * [backup-simplify]: Simplify 1 into 1 15.529 * [backup-simplify]: Simplify (log 1) into 0 15.529 * [backup-simplify]: Simplify (- k) into (- k) 15.529 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.529 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.529 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.529 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.529 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.530 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 15.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 15.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 15.530 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 15.530 * [taylor]: Taking taylor expansion of 0.5 in n 15.530 * [backup-simplify]: Simplify 0.5 into 0.5 15.530 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 15.530 * [taylor]: Taking taylor expansion of 1.0 in n 15.530 * [backup-simplify]: Simplify 1.0 into 1.0 15.530 * [taylor]: Taking taylor expansion of k in n 15.530 * [backup-simplify]: Simplify k into k 15.530 * [taylor]: Taking taylor expansion of (log n) in n 15.530 * [taylor]: Taking taylor expansion of n in n 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify 1 into 1 15.530 * [backup-simplify]: Simplify (log 1) into 0 15.530 * [backup-simplify]: Simplify (- k) into (- k) 15.530 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 15.530 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 15.530 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.530 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 15.531 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 15.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 15.531 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 15.531 * [taylor]: Taking taylor expansion of 0.5 in k 15.531 * [backup-simplify]: Simplify 0.5 into 0.5 15.531 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 15.531 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 15.531 * [taylor]: Taking taylor expansion of 1.0 in k 15.531 * [backup-simplify]: Simplify 1.0 into 1.0 15.531 * [taylor]: Taking taylor expansion of k in k 15.531 * [backup-simplify]: Simplify 0 into 0 15.531 * [backup-simplify]: Simplify 1 into 1 15.531 * [taylor]: Taking taylor expansion of (log n) in k 15.531 * [taylor]: Taking taylor expansion of n in k 15.531 * [backup-simplify]: Simplify n into n 15.531 * [backup-simplify]: Simplify (log n) into (log n) 15.531 * [backup-simplify]: Simplify (- 0) into 0 15.531 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 15.532 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 15.532 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 15.532 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 15.532 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 15.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.533 * [backup-simplify]: Simplify (- 0) into 0 15.533 * [backup-simplify]: Simplify (+ 0 0) into 0 15.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 15.534 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.534 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 15.534 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.534 * [taylor]: Taking taylor expansion of 0 in k 15.534 * [backup-simplify]: Simplify 0 into 0 15.534 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 15.535 * [backup-simplify]: Simplify (- 1) into -1 15.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.536 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 15.536 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 15.536 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 15.536 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 15.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.538 * [backup-simplify]: Simplify (- 0) into 0 15.538 * [backup-simplify]: Simplify (+ 0 0) into 0 15.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 15.539 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 15.539 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 15.540 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.540 * [taylor]: Taking taylor expansion of 0 in k 15.540 * [backup-simplify]: Simplify 0 into 0 15.540 * [backup-simplify]: Simplify 0 into 0 15.540 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 15.542 * [backup-simplify]: Simplify (- 0) into 0 15.542 * [backup-simplify]: Simplify (+ 0 0) into 0 15.543 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 15.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 15.544 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 15.544 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 15.545 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 15.545 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 15.545 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 15.545 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 15.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 15.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 15.545 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 15.545 * [taylor]: Taking taylor expansion of 0.5 in k 15.545 * [backup-simplify]: Simplify 0.5 into 0.5 15.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.545 * [taylor]: Taking taylor expansion of 1.0 in k 15.545 * [backup-simplify]: Simplify 1.0 into 1.0 15.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.545 * [taylor]: Taking taylor expansion of k in k 15.545 * [backup-simplify]: Simplify 0 into 0 15.545 * [backup-simplify]: Simplify 1 into 1 15.545 * [backup-simplify]: Simplify (/ 1 1) into 1 15.545 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 15.545 * [taylor]: Taking taylor expansion of (/ 1 n) in k 15.545 * [taylor]: Taking taylor expansion of n in k 15.546 * [backup-simplify]: Simplify n into n 15.546 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 15.546 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 15.546 * [backup-simplify]: Simplify (- 1) into -1 15.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.546 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 15.546 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 15.547 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 15.547 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.547 * [taylor]: Taking taylor expansion of 0.5 in n 15.547 * [backup-simplify]: Simplify 0.5 into 0.5 15.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.547 * [taylor]: Taking taylor expansion of 1.0 in n 15.547 * [backup-simplify]: Simplify 1.0 into 1.0 15.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.547 * [taylor]: Taking taylor expansion of k in n 15.547 * [backup-simplify]: Simplify k into k 15.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.547 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.547 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.547 * [taylor]: Taking taylor expansion of n in n 15.547 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify 1 into 1 15.547 * [backup-simplify]: Simplify (/ 1 1) into 1 15.547 * [backup-simplify]: Simplify (log 1) into 0 15.547 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.548 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.548 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.548 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.548 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.548 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 15.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 15.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 15.548 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 15.548 * [taylor]: Taking taylor expansion of 0.5 in n 15.548 * [backup-simplify]: Simplify 0.5 into 0.5 15.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 15.548 * [taylor]: Taking taylor expansion of 1.0 in n 15.548 * [backup-simplify]: Simplify 1.0 into 1.0 15.548 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.548 * [taylor]: Taking taylor expansion of k in n 15.548 * [backup-simplify]: Simplify k into k 15.548 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.548 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 15.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 15.548 * [taylor]: Taking taylor expansion of n in n 15.548 * [backup-simplify]: Simplify 0 into 0 15.548 * [backup-simplify]: Simplify 1 into 1 15.549 * [backup-simplify]: Simplify (/ 1 1) into 1 15.549 * [backup-simplify]: Simplify (log 1) into 0 15.549 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 15.549 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 15.549 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 15.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.550 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 15.550 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.550 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 15.550 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 15.550 * [taylor]: Taking taylor expansion of -0.5 in k 15.550 * [backup-simplify]: Simplify -0.5 into -0.5 15.550 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 15.550 * [taylor]: Taking taylor expansion of (log n) in k 15.550 * [taylor]: Taking taylor expansion of n in k 15.550 * [backup-simplify]: Simplify n into n 15.550 * [backup-simplify]: Simplify (log n) into (log n) 15.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 15.550 * [taylor]: Taking taylor expansion of 1.0 in k 15.550 * [backup-simplify]: Simplify 1.0 into 1.0 15.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.550 * [taylor]: Taking taylor expansion of k in k 15.550 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify 1 into 1 15.550 * [backup-simplify]: Simplify (/ 1 1) into 1 15.550 * [backup-simplify]: Simplify (- 1) into -1 15.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.551 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 15.551 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 15.551 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.551 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 15.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.552 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.553 * [backup-simplify]: Simplify (- 0) into 0 15.553 * [backup-simplify]: Simplify (+ 0 0) into 0 15.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 15.554 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.554 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 15.555 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.555 * [taylor]: Taking taylor expansion of 0 in k 15.555 * [backup-simplify]: Simplify 0 into 0 15.555 * [backup-simplify]: Simplify 0 into 0 15.555 * [backup-simplify]: Simplify 0 into 0 15.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.559 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.560 * [backup-simplify]: Simplify (- 0) into 0 15.560 * [backup-simplify]: Simplify (+ 0 0) into 0 15.561 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 15.562 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.562 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 15.564 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.564 * [taylor]: Taking taylor expansion of 0 in k 15.564 * [backup-simplify]: Simplify 0 into 0 15.564 * [backup-simplify]: Simplify 0 into 0 15.564 * [backup-simplify]: Simplify 0 into 0 15.564 * [backup-simplify]: Simplify 0 into 0 15.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.570 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.571 * [backup-simplify]: Simplify (- 0) into 0 15.571 * [backup-simplify]: Simplify (+ 0 0) into 0 15.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 15.573 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 15.574 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 15.576 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.576 * [taylor]: Taking taylor expansion of 0 in k 15.576 * [backup-simplify]: Simplify 0 into 0 15.576 * [backup-simplify]: Simplify 0 into 0 15.576 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 15.577 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 15.577 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 15.577 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 15.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 15.577 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 15.577 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 15.577 * [taylor]: Taking taylor expansion of 0.5 in k 15.577 * [backup-simplify]: Simplify 0.5 into 0.5 15.577 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.577 * [taylor]: Taking taylor expansion of k in k 15.577 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify 1 into 1 15.578 * [backup-simplify]: Simplify (/ 1 1) into 1 15.578 * [taylor]: Taking taylor expansion of 1.0 in k 15.578 * [backup-simplify]: Simplify 1.0 into 1.0 15.578 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 15.578 * [taylor]: Taking taylor expansion of (/ -1 n) in k 15.578 * [taylor]: Taking taylor expansion of -1 in k 15.578 * [backup-simplify]: Simplify -1 into -1 15.578 * [taylor]: Taking taylor expansion of n in k 15.578 * [backup-simplify]: Simplify n into n 15.578 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 15.578 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 15.578 * [backup-simplify]: Simplify (+ 1 0) into 1 15.579 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 15.579 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 15.579 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 15.579 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.579 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.579 * [taylor]: Taking taylor expansion of 0.5 in n 15.580 * [backup-simplify]: Simplify 0.5 into 0.5 15.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.580 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.580 * [taylor]: Taking taylor expansion of k in n 15.580 * [backup-simplify]: Simplify k into k 15.580 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.580 * [taylor]: Taking taylor expansion of 1.0 in n 15.580 * [backup-simplify]: Simplify 1.0 into 1.0 15.580 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.580 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.580 * [taylor]: Taking taylor expansion of -1 in n 15.580 * [backup-simplify]: Simplify -1 into -1 15.580 * [taylor]: Taking taylor expansion of n in n 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 1 into 1 15.580 * [backup-simplify]: Simplify (/ -1 1) into -1 15.581 * [backup-simplify]: Simplify (log -1) into (log -1) 15.581 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.581 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.582 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.583 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.583 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.583 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 15.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 15.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 15.583 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 15.583 * [taylor]: Taking taylor expansion of 0.5 in n 15.583 * [backup-simplify]: Simplify 0.5 into 0.5 15.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 15.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 15.584 * [taylor]: Taking taylor expansion of k in n 15.584 * [backup-simplify]: Simplify k into k 15.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 15.584 * [taylor]: Taking taylor expansion of 1.0 in n 15.584 * [backup-simplify]: Simplify 1.0 into 1.0 15.584 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 15.584 * [taylor]: Taking taylor expansion of (/ -1 n) in n 15.584 * [taylor]: Taking taylor expansion of -1 in n 15.584 * [backup-simplify]: Simplify -1 into -1 15.584 * [taylor]: Taking taylor expansion of n in n 15.584 * [backup-simplify]: Simplify 0 into 0 15.584 * [backup-simplify]: Simplify 1 into 1 15.584 * [backup-simplify]: Simplify (/ -1 1) into -1 15.585 * [backup-simplify]: Simplify (log -1) into (log -1) 15.585 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 15.585 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 15.586 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.586 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 15.587 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.587 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 15.587 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 15.587 * [taylor]: Taking taylor expansion of 0.5 in k 15.587 * [backup-simplify]: Simplify 0.5 into 0.5 15.587 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 15.587 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 15.587 * [taylor]: Taking taylor expansion of (log -1) in k 15.587 * [taylor]: Taking taylor expansion of -1 in k 15.587 * [backup-simplify]: Simplify -1 into -1 15.588 * [backup-simplify]: Simplify (log -1) into (log -1) 15.588 * [taylor]: Taking taylor expansion of (log n) in k 15.588 * [taylor]: Taking taylor expansion of n in k 15.588 * [backup-simplify]: Simplify n into n 15.588 * [backup-simplify]: Simplify (log n) into (log n) 15.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 15.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.588 * [taylor]: Taking taylor expansion of k in k 15.588 * [backup-simplify]: Simplify 0 into 0 15.588 * [backup-simplify]: Simplify 1 into 1 15.589 * [backup-simplify]: Simplify (/ 1 1) into 1 15.589 * [taylor]: Taking taylor expansion of 1.0 in k 15.589 * [backup-simplify]: Simplify 1.0 into 1.0 15.589 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 15.589 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 15.589 * [backup-simplify]: Simplify (+ 1 0) into 1 15.590 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 15.590 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 15.590 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.591 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 15.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 15.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 15.592 * [backup-simplify]: Simplify (+ 0 0) into 0 15.593 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 15.593 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.594 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 15.595 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.595 * [taylor]: Taking taylor expansion of 0 in k 15.595 * [backup-simplify]: Simplify 0 into 0 15.595 * [backup-simplify]: Simplify 0 into 0 15.595 * [backup-simplify]: Simplify 0 into 0 15.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 15.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.597 * [backup-simplify]: Simplify (+ 0 0) into 0 15.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 15.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.599 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 15.600 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.600 * [taylor]: Taking taylor expansion of 0 in k 15.600 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify 0 into 0 15.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.604 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 15.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 15.604 * [backup-simplify]: Simplify (+ 0 0) into 0 15.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 15.605 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 15.606 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 15.607 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.607 * [taylor]: Taking taylor expansion of 0 in k 15.607 * [backup-simplify]: Simplify 0 into 0 15.607 * [backup-simplify]: Simplify 0 into 0 15.608 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 15.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 15.610 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) 15.610 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in (k) around 0 15.610 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in k 15.610 * [taylor]: Taking taylor expansion of 1.0 in k 15.610 * [backup-simplify]: Simplify 1.0 into 1.0 15.610 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k))))) in k 15.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.610 * [taylor]: Taking taylor expansion of k in k 15.610 * [backup-simplify]: Simplify 0 into 0 15.610 * [backup-simplify]: Simplify 1 into 1 15.611 * [backup-simplify]: Simplify (/ 1 1) into 1 15.611 * [backup-simplify]: Simplify (sqrt 0) into 0 15.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.612 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))) in k 15.612 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 15.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 15.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 15.612 * [taylor]: Taking taylor expansion of 0.5 in k 15.612 * [backup-simplify]: Simplify 0.5 into 0.5 15.612 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 15.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 15.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 15.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 15.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 15.612 * [taylor]: Taking taylor expansion of 1.0 in k 15.612 * [backup-simplify]: Simplify 1.0 into 1.0 15.612 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.612 * [taylor]: Taking taylor expansion of 2.0 in k 15.612 * [backup-simplify]: Simplify 2.0 into 2.0 15.612 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.613 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.614 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.614 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 15.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 15.614 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 15.614 * [taylor]: Taking taylor expansion of 1.0 in k 15.614 * [backup-simplify]: Simplify 1.0 into 1.0 15.614 * [taylor]: Taking taylor expansion of (log PI) in k 15.614 * [taylor]: Taking taylor expansion of PI in k 15.614 * [backup-simplify]: Simplify PI into PI 15.614 * [backup-simplify]: Simplify (log PI) into (log PI) 15.615 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.616 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.617 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 15.621 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 15.628 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 15.634 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 15.634 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (* 0.5 k))) in k 15.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 15.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 15.634 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 15.634 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 15.634 * [taylor]: Taking taylor expansion of 0.5 in k 15.634 * [backup-simplify]: Simplify 0.5 into 0.5 15.634 * [taylor]: Taking taylor expansion of k in k 15.634 * [backup-simplify]: Simplify 0 into 0 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.634 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.634 * [taylor]: Taking taylor expansion of 2.0 in k 15.634 * [backup-simplify]: Simplify 2.0 into 2.0 15.634 * [taylor]: Taking taylor expansion of PI in k 15.634 * [backup-simplify]: Simplify PI into PI 15.634 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.635 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.635 * [backup-simplify]: Simplify (* 0.5 0) into 0 15.636 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 15.636 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.644 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 15.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 15.646 * [backup-simplify]: Simplify (exp 0) into 1 15.647 * [backup-simplify]: Simplify (/ 1 1) into 1 15.647 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))))) in k 15.647 * [taylor]: Taking taylor expansion of 1.0 in k 15.647 * [backup-simplify]: Simplify 1.0 into 1.0 15.647 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k))))) in k 15.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 15.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 15.647 * [taylor]: Taking taylor expansion of k in k 15.647 * [backup-simplify]: Simplify 0 into 0 15.647 * [backup-simplify]: Simplify 1 into 1 15.647 * [backup-simplify]: Simplify (/ 1 1) into 1 15.647 * [backup-simplify]: Simplify (sqrt 0) into 0 15.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.648 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (* 0.5 k)))) in k 15.648 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 15.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 15.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 15.648 * [taylor]: Taking taylor expansion of 0.5 in k 15.649 * [backup-simplify]: Simplify 0.5 into 0.5 15.649 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 15.649 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 15.649 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 15.649 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 15.649 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 15.649 * [taylor]: Taking taylor expansion of 1.0 in k 15.649 * [backup-simplify]: Simplify 1.0 into 1.0 15.649 * [taylor]: Taking taylor expansion of (log 2.0) in k 15.649 * [taylor]: Taking taylor expansion of 2.0 in k 15.649 * [backup-simplify]: Simplify 2.0 into 2.0 15.649 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 15.650 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 15.651 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 15.651 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 15.651 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 15.651 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 15.651 * [taylor]: Taking taylor expansion of 1.0 in k 15.651 * [backup-simplify]: Simplify 1.0 into 1.0 15.651 * [taylor]: Taking taylor expansion of (log PI) in k 15.651 * [taylor]: Taking taylor expansion of PI in k 15.651 * [backup-simplify]: Simplify PI into PI 15.651 * [backup-simplify]: Simplify (log PI) into (log PI) 15.652 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 15.653 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 15.654 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 15.656 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 15.663 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 15.673 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 15.673 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (* 0.5 k))) in k 15.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 15.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 15.673 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 15.673 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 15.673 * [taylor]: Taking taylor expansion of 0.5 in k 15.673 * [backup-simplify]: Simplify 0.5 into 0.5 15.673 * [taylor]: Taking taylor expansion of k in k 15.673 * [backup-simplify]: Simplify 0 into 0 15.673 * [backup-simplify]: Simplify 1 into 1 15.673 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 15.673 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 15.673 * [taylor]: Taking taylor expansion of 2.0 in k 15.673 * [backup-simplify]: Simplify 2.0 into 2.0 15.673 * [taylor]: Taking taylor expansion of PI in k 15.673 * [backup-simplify]: Simplify PI into PI 15.674 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 15.675 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 15.675 * [backup-simplify]: Simplify (* 0.5 0) into 0 15.676 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 15.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 15.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 15.680 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 15.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 15.684 * [backup-simplify]: Simplify (exp 0) into 1 15.684 * [backup-simplify]: Simplify (/ 1 1) into 1 15.696 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 1) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 15.697 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 15.698 * [backup-simplify]: Simplify (* 1.0 0) into 0 15.698 * [backup-simplify]: Simplify 0 into 0 15.708 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1)))) into (* 0.5 (log (* 2.0 PI))) 15.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (* 0.5 (log (* 2.0 PI)))) 15.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 15.719 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 15.721 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 15.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 15.724 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 15.725 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 15.726 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 15.729 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 15.731 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 15.735 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.753 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* 0.5 (log (* 2.0 PI))))) (* 0 1)) into (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 15.763 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.773 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 15.780 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 15.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 15.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 15.786 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 15.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (log (* 2.0 PI))))) into 0 15.809 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 15.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (- (* 0.5 (log (* 2.0 PI)))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 15.831 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 15.833 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 15.835 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.839 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 15.840 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 15.843 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.844 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 15.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 15.852 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 15.856 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.869 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (pow (log (* 2.0 PI)) 2))) (+ (* 0 (- (* 0.5 (log (* 2.0 PI))))) (* 0 1))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 15.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.890 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (* +nan.0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 15.921 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 15.933 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 15.934 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.944 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 15.945 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 15.954 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 3) 6)) (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 15.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 1)) (* (- (* 0.5 (log (* 2.0 PI)))) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (* 0.125 (pow (log (* 2.0 PI)) 2)) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (* 0.02083333333333333 (pow (log (* 2.0 PI)) 3))) 15.974 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 15.975 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 15.976 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.981 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 15.982 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 15.985 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.986 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 1.0))))) into 0 15.992 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 6) into 0 15.995 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))))) into 0 15.999 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.024 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* 0.02083333333333333 (pow (log (* 2.0 PI)) 3)))) (+ (* 0 (* 0.125 (pow (log (* 2.0 PI)) 2))) (+ (* 0 (- (* 0.5 (log (* 2.0 PI))))) (* 0 1)))) into (- (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 16.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.084 * [backup-simplify]: Simplify (+ (* 0 (- (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (+ (* +nan.0 (- (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 16.143 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 16.165 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 16.208 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 16.210 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (/ (/ 1 k) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) 16.210 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in (k) around 0 16.210 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in k 16.210 * [taylor]: Taking taylor expansion of 1.0 in k 16.210 * [backup-simplify]: Simplify 1.0 into 1.0 16.210 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k))))) in k 16.210 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.210 * [taylor]: Taking taylor expansion of k in k 16.210 * [backup-simplify]: Simplify 0 into 0 16.210 * [backup-simplify]: Simplify 1 into 1 16.210 * [backup-simplify]: Simplify (sqrt 0) into 0 16.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.211 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))) in k 16.211 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.211 * [taylor]: Taking taylor expansion of 0.5 in k 16.211 * [backup-simplify]: Simplify 0.5 into 0.5 16.211 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.211 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.211 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.212 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.212 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.212 * [taylor]: Taking taylor expansion of 1.0 in k 16.212 * [backup-simplify]: Simplify 1.0 into 1.0 16.212 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.212 * [taylor]: Taking taylor expansion of 2.0 in k 16.212 * [backup-simplify]: Simplify 2.0 into 2.0 16.212 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.212 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.214 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.214 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.214 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.214 * [taylor]: Taking taylor expansion of 1.0 in k 16.214 * [backup-simplify]: Simplify 1.0 into 1.0 16.214 * [taylor]: Taking taylor expansion of (log PI) in k 16.214 * [taylor]: Taking taylor expansion of PI in k 16.214 * [backup-simplify]: Simplify PI into PI 16.215 * [backup-simplify]: Simplify (log PI) into (log PI) 16.216 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.217 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.219 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.223 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.230 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.237 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.237 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (/ 0.5 k))) in k 16.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 16.237 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 16.237 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 16.237 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 16.237 * [taylor]: Taking taylor expansion of 0.5 in k 16.237 * [backup-simplify]: Simplify 0.5 into 0.5 16.237 * [taylor]: Taking taylor expansion of k in k 16.237 * [backup-simplify]: Simplify 0 into 0 16.237 * [backup-simplify]: Simplify 1 into 1 16.237 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 16.237 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.237 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.237 * [taylor]: Taking taylor expansion of 2.0 in k 16.237 * [backup-simplify]: Simplify 2.0 into 2.0 16.237 * [taylor]: Taking taylor expansion of PI in k 16.237 * [backup-simplify]: Simplify PI into PI 16.237 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.238 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.239 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.240 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 16.241 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 16.241 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))))) in k 16.241 * [taylor]: Taking taylor expansion of 1.0 in k 16.241 * [backup-simplify]: Simplify 1.0 into 1.0 16.241 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k))))) in k 16.241 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.241 * [taylor]: Taking taylor expansion of k in k 16.241 * [backup-simplify]: Simplify 0 into 0 16.241 * [backup-simplify]: Simplify 1 into 1 16.241 * [backup-simplify]: Simplify (sqrt 0) into 0 16.242 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.242 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow (* 2.0 PI) (/ 0.5 k)))) in k 16.242 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.242 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.242 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.242 * [taylor]: Taking taylor expansion of 0.5 in k 16.242 * [backup-simplify]: Simplify 0.5 into 0.5 16.242 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.242 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.242 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.242 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.242 * [taylor]: Taking taylor expansion of 1.0 in k 16.242 * [backup-simplify]: Simplify 1.0 into 1.0 16.242 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.242 * [taylor]: Taking taylor expansion of 2.0 in k 16.242 * [backup-simplify]: Simplify 2.0 into 2.0 16.242 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.243 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.244 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.244 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.244 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.244 * [taylor]: Taking taylor expansion of 1.0 in k 16.244 * [backup-simplify]: Simplify 1.0 into 1.0 16.244 * [taylor]: Taking taylor expansion of (log PI) in k 16.244 * [taylor]: Taking taylor expansion of PI in k 16.244 * [backup-simplify]: Simplify PI into PI 16.244 * [backup-simplify]: Simplify (log PI) into (log PI) 16.245 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.246 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.247 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.249 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.253 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.259 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.259 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 PI) (/ 0.5 k))) in k 16.259 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 16.259 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 16.259 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 16.259 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 16.259 * [taylor]: Taking taylor expansion of 0.5 in k 16.259 * [backup-simplify]: Simplify 0.5 into 0.5 16.259 * [taylor]: Taking taylor expansion of k in k 16.259 * [backup-simplify]: Simplify 0 into 0 16.259 * [backup-simplify]: Simplify 1 into 1 16.259 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 16.259 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.259 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.259 * [taylor]: Taking taylor expansion of 2.0 in k 16.259 * [backup-simplify]: Simplify 2.0 into 2.0 16.259 * [taylor]: Taking taylor expansion of PI in k 16.259 * [backup-simplify]: Simplify PI into PI 16.259 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.260 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.261 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 16.262 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 16.263 * [backup-simplify]: Simplify (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 16.269 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 16.271 * [backup-simplify]: Simplify (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 16.271 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.271 * [backup-simplify]: Simplify 0 into 0 16.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.274 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.274 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.275 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.277 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.278 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 16.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 16.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 16.282 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.284 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 16.287 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.290 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0)) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.302 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.312 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.315 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.316 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.319 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.321 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 16.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 16.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 16.334 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.338 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.351 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.353 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 16.360 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 16.360 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 16.362 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.365 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 16.366 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 16.367 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.368 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 1.0))))) into 0 16.372 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 6) into 0 16.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))))) into 0 16.377 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.379 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into 0 16.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.395 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 0)))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.400 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 16.415 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 16.432 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 (- k))) (pow (* 2.0 PI) (/ (/ 1 (- k)) 2.0)))) into (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) 16.433 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in (k) around 0 16.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in k 16.433 * [taylor]: Taking taylor expansion of 1.0 in k 16.433 * [backup-simplify]: Simplify 1.0 into 1.0 16.433 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))))) in k 16.433 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.433 * [taylor]: Taking taylor expansion of 0.5 in k 16.433 * [backup-simplify]: Simplify 0.5 into 0.5 16.433 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.433 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.433 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.433 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.433 * [taylor]: Taking taylor expansion of 1.0 in k 16.433 * [backup-simplify]: Simplify 1.0 into 1.0 16.433 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.433 * [taylor]: Taking taylor expansion of 2.0 in k 16.433 * [backup-simplify]: Simplify 2.0 into 2.0 16.434 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.435 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.437 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.437 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.437 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.437 * [taylor]: Taking taylor expansion of 1.0 in k 16.437 * [backup-simplify]: Simplify 1.0 into 1.0 16.437 * [taylor]: Taking taylor expansion of (log PI) in k 16.437 * [taylor]: Taking taylor expansion of PI in k 16.437 * [backup-simplify]: Simplify PI into PI 16.438 * [backup-simplify]: Simplify (log PI) into (log PI) 16.439 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.441 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.443 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.447 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.454 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.464 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.464 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 16.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 16.465 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.465 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.465 * [taylor]: Taking taylor expansion of -1 in k 16.465 * [backup-simplify]: Simplify -1 into -1 16.465 * [taylor]: Taking taylor expansion of k in k 16.465 * [backup-simplify]: Simplify 0 into 0 16.465 * [backup-simplify]: Simplify 1 into 1 16.465 * [backup-simplify]: Simplify (/ -1 1) into -1 16.466 * [backup-simplify]: Simplify (sqrt 0) into 0 16.467 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 16.467 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 16.467 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 16.467 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 16.467 * [taylor]: Taking taylor expansion of -0.5 in k 16.467 * [backup-simplify]: Simplify -0.5 into -0.5 16.467 * [taylor]: Taking taylor expansion of k in k 16.468 * [backup-simplify]: Simplify 0 into 0 16.468 * [backup-simplify]: Simplify 1 into 1 16.468 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 16.468 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.468 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.468 * [taylor]: Taking taylor expansion of 2.0 in k 16.468 * [backup-simplify]: Simplify 2.0 into 2.0 16.468 * [taylor]: Taking taylor expansion of PI in k 16.469 * [backup-simplify]: Simplify PI into PI 16.469 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.470 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.472 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.473 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 16.475 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 16.476 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.478 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 16.478 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))))) in k 16.478 * [taylor]: Taking taylor expansion of 1.0 in k 16.478 * [backup-simplify]: Simplify 1.0 into 1.0 16.478 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))))) in k 16.478 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 16.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 16.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 16.478 * [taylor]: Taking taylor expansion of 0.5 in k 16.478 * [backup-simplify]: Simplify 0.5 into 0.5 16.478 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 16.478 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 16.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.478 * [taylor]: Taking taylor expansion of 1.0 in k 16.478 * [backup-simplify]: Simplify 1.0 into 1.0 16.479 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.479 * [taylor]: Taking taylor expansion of 2.0 in k 16.479 * [backup-simplify]: Simplify 2.0 into 2.0 16.479 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.480 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.482 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.482 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.482 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.482 * [taylor]: Taking taylor expansion of 1.0 in k 16.482 * [backup-simplify]: Simplify 1.0 into 1.0 16.482 * [taylor]: Taking taylor expansion of (log PI) in k 16.482 * [taylor]: Taking taylor expansion of PI in k 16.482 * [backup-simplify]: Simplify PI into PI 16.482 * [backup-simplify]: Simplify (log PI) into (log PI) 16.483 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.485 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.487 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 16.491 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 16.498 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 16.508 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.508 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 16.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 16.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 16.508 * [taylor]: Taking taylor expansion of (/ -1 k) in k 16.508 * [taylor]: Taking taylor expansion of -1 in k 16.508 * [backup-simplify]: Simplify -1 into -1 16.508 * [taylor]: Taking taylor expansion of k in k 16.508 * [backup-simplify]: Simplify 0 into 0 16.508 * [backup-simplify]: Simplify 1 into 1 16.509 * [backup-simplify]: Simplify (/ -1 1) into -1 16.510 * [backup-simplify]: Simplify (sqrt 0) into 0 16.511 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 16.511 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 16.511 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 16.511 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 16.511 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 16.511 * [taylor]: Taking taylor expansion of -0.5 in k 16.511 * [backup-simplify]: Simplify -0.5 into -0.5 16.511 * [taylor]: Taking taylor expansion of k in k 16.512 * [backup-simplify]: Simplify 0 into 0 16.512 * [backup-simplify]: Simplify 1 into 1 16.512 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 16.512 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.512 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.512 * [taylor]: Taking taylor expansion of 2.0 in k 16.512 * [backup-simplify]: Simplify 2.0 into 2.0 16.512 * [taylor]: Taking taylor expansion of PI in k 16.512 * [backup-simplify]: Simplify PI into PI 16.513 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.514 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.516 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 16.517 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 16.518 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 16.520 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.521 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 16.532 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.537 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.542 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.546 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.553 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.555 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.556 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.558 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.559 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.560 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.562 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.563 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 16.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 16.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 16.572 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.583 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* 0 (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.592 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.605 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 16.621 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 16.625 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.626 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.628 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.636 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.637 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (+ (* 0 0) (* 0 (pow PI 1.0)))) into 0 16.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 2) into 0 16.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))))) into 0 16.646 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.654 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (+ (* 0 (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* 0 (/ +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.661 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (+ (* 0 (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) (* 0 (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.664 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) 16.672 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k))))))))) (/ 1 (- k))) (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (exp (* 0.5 (* k (log (* 2.0 PI)))))))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 16.672 * * * * [progress]: [ 4 / 4 ] generating series at (2) 16.675 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (pow n (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 16.675 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in (k n) around 0 16.675 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 16.675 * [taylor]: Taking taylor expansion of 1.0 in n 16.675 * [backup-simplify]: Simplify 1.0 into 1.0 16.675 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 16.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.676 * [taylor]: Taking taylor expansion of k in n 16.676 * [backup-simplify]: Simplify k into k 16.676 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.676 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.676 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 16.676 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in n 16.676 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.676 * [taylor]: Taking taylor expansion of 0.5 in n 16.676 * [backup-simplify]: Simplify 0.5 into 0.5 16.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.676 * [taylor]: Taking taylor expansion of 1.0 in n 16.676 * [backup-simplify]: Simplify 1.0 into 1.0 16.676 * [taylor]: Taking taylor expansion of k in n 16.676 * [backup-simplify]: Simplify k into k 16.676 * [taylor]: Taking taylor expansion of (log n) in n 16.676 * [taylor]: Taking taylor expansion of n in n 16.677 * [backup-simplify]: Simplify 0 into 0 16.677 * [backup-simplify]: Simplify 1 into 1 16.677 * [backup-simplify]: Simplify (log 1) into 0 16.677 * [backup-simplify]: Simplify (- k) into (- k) 16.677 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.677 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.678 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.678 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in n 16.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in n 16.678 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in n 16.678 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 16.678 * [taylor]: Taking taylor expansion of 0.5 in n 16.678 * [backup-simplify]: Simplify 0.5 into 0.5 16.678 * [taylor]: Taking taylor expansion of k in n 16.678 * [backup-simplify]: Simplify k into k 16.678 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.678 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.678 * [taylor]: Taking taylor expansion of 2.0 in n 16.678 * [backup-simplify]: Simplify 2.0 into 2.0 16.678 * [taylor]: Taking taylor expansion of PI in n 16.678 * [backup-simplify]: Simplify PI into PI 16.679 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.680 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.680 * [backup-simplify]: Simplify (* 0.5 k) into (* 0.5 k) 16.681 * [backup-simplify]: Simplify (* (* 0.5 k) (log (* 2.0 PI))) into (* 0.5 (* k (log (* 2.0 PI)))) 16.682 * [backup-simplify]: Simplify (exp (* 0.5 (* k (log (* 2.0 PI))))) into (exp (* 0.5 (* k (log (* 2.0 PI))))) 16.684 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- 1.0 k) (log n)))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) into (/ (exp (* 0.5 (* (- 1.0 k) (log n)))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) 16.684 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 16.684 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 16.684 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 16.684 * [taylor]: Taking taylor expansion of 0.5 in n 16.684 * [backup-simplify]: Simplify 0.5 into 0.5 16.684 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 16.684 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 16.684 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.684 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.684 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.684 * [taylor]: Taking taylor expansion of 1.0 in n 16.684 * [backup-simplify]: Simplify 1.0 into 1.0 16.684 * [taylor]: Taking taylor expansion of (log PI) in n 16.684 * [taylor]: Taking taylor expansion of PI in n 16.684 * [backup-simplify]: Simplify PI into PI 16.685 * [backup-simplify]: Simplify (log PI) into (log PI) 16.686 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.687 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.687 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.688 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.688 * [taylor]: Taking taylor expansion of 1.0 in n 16.688 * [backup-simplify]: Simplify 1.0 into 1.0 16.688 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.688 * [taylor]: Taking taylor expansion of 2.0 in n 16.688 * [backup-simplify]: Simplify 2.0 into 2.0 16.688 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.689 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.691 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.693 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 16.698 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 16.704 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 16.716 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.716 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 16.716 * [taylor]: Taking taylor expansion of 1.0 in k 16.716 * [backup-simplify]: Simplify 1.0 into 1.0 16.716 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 16.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.716 * [taylor]: Taking taylor expansion of k in k 16.716 * [backup-simplify]: Simplify 0 into 0 16.716 * [backup-simplify]: Simplify 1 into 1 16.717 * [backup-simplify]: Simplify (/ 1 1) into 1 16.717 * [backup-simplify]: Simplify (sqrt 0) into 0 16.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.719 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 16.719 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in k 16.719 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.719 * [taylor]: Taking taylor expansion of 0.5 in k 16.719 * [backup-simplify]: Simplify 0.5 into 0.5 16.719 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.719 * [taylor]: Taking taylor expansion of 1.0 in k 16.719 * [backup-simplify]: Simplify 1.0 into 1.0 16.719 * [taylor]: Taking taylor expansion of k in k 16.719 * [backup-simplify]: Simplify 0 into 0 16.719 * [backup-simplify]: Simplify 1 into 1 16.719 * [taylor]: Taking taylor expansion of (log n) in k 16.719 * [taylor]: Taking taylor expansion of n in k 16.719 * [backup-simplify]: Simplify n into n 16.720 * [backup-simplify]: Simplify (log n) into (log n) 16.720 * [backup-simplify]: Simplify (- 0) into 0 16.720 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.721 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.721 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.721 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 16.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 16.721 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 16.721 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 16.721 * [taylor]: Taking taylor expansion of 0.5 in k 16.721 * [backup-simplify]: Simplify 0.5 into 0.5 16.721 * [taylor]: Taking taylor expansion of k in k 16.721 * [backup-simplify]: Simplify 0 into 0 16.721 * [backup-simplify]: Simplify 1 into 1 16.721 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.721 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.722 * [taylor]: Taking taylor expansion of 2.0 in k 16.722 * [backup-simplify]: Simplify 2.0 into 2.0 16.722 * [taylor]: Taking taylor expansion of PI in k 16.722 * [backup-simplify]: Simplify PI into PI 16.722 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.723 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.724 * [backup-simplify]: Simplify (* 0.5 0) into 0 16.724 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 16.725 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.726 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.727 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 16.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 16.729 * [backup-simplify]: Simplify (exp 0) into 1 16.729 * [backup-simplify]: Simplify (/ (pow n 0.5) 1) into (pow (pow n 1.0) 0.5) 16.729 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 16.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 16.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 16.729 * [taylor]: Taking taylor expansion of 0.5 in k 16.729 * [backup-simplify]: Simplify 0.5 into 0.5 16.729 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 16.729 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 16.729 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.729 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.729 * [taylor]: Taking taylor expansion of 1.0 in k 16.729 * [backup-simplify]: Simplify 1.0 into 1.0 16.729 * [taylor]: Taking taylor expansion of (log PI) in k 16.729 * [taylor]: Taking taylor expansion of PI in k 16.729 * [backup-simplify]: Simplify PI into PI 16.730 * [backup-simplify]: Simplify (log PI) into (log PI) 16.730 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.731 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.731 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.731 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.731 * [taylor]: Taking taylor expansion of 1.0 in k 16.731 * [backup-simplify]: Simplify 1.0 into 1.0 16.731 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.731 * [taylor]: Taking taylor expansion of 2.0 in k 16.731 * [backup-simplify]: Simplify 2.0 into 2.0 16.732 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.732 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.733 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.734 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 16.744 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 16.748 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 16.754 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.754 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 16.754 * [taylor]: Taking taylor expansion of 1.0 in k 16.754 * [backup-simplify]: Simplify 1.0 into 1.0 16.754 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 16.754 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.754 * [taylor]: Taking taylor expansion of k in k 16.754 * [backup-simplify]: Simplify 0 into 0 16.754 * [backup-simplify]: Simplify 1 into 1 16.754 * [backup-simplify]: Simplify (/ 1 1) into 1 16.755 * [backup-simplify]: Simplify (sqrt 0) into 0 16.755 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.755 * [taylor]: Taking taylor expansion of (* (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 16.756 * [taylor]: Taking taylor expansion of (/ (pow n (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 k))) in k 16.756 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.756 * [taylor]: Taking taylor expansion of 0.5 in k 16.756 * [backup-simplify]: Simplify 0.5 into 0.5 16.756 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.756 * [taylor]: Taking taylor expansion of 1.0 in k 16.756 * [backup-simplify]: Simplify 1.0 into 1.0 16.756 * [taylor]: Taking taylor expansion of k in k 16.756 * [backup-simplify]: Simplify 0 into 0 16.756 * [backup-simplify]: Simplify 1 into 1 16.756 * [taylor]: Taking taylor expansion of (log n) in k 16.756 * [taylor]: Taking taylor expansion of n in k 16.756 * [backup-simplify]: Simplify n into n 16.756 * [backup-simplify]: Simplify (log n) into (log n) 16.756 * [backup-simplify]: Simplify (- 0) into 0 16.756 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.757 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.757 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.757 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 k)) in k 16.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 PI)))) in k 16.757 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 PI))) in k 16.757 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 16.757 * [taylor]: Taking taylor expansion of 0.5 in k 16.757 * [backup-simplify]: Simplify 0.5 into 0.5 16.757 * [taylor]: Taking taylor expansion of k in k 16.757 * [backup-simplify]: Simplify 0 into 0 16.757 * [backup-simplify]: Simplify 1 into 1 16.757 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.757 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.757 * [taylor]: Taking taylor expansion of 2.0 in k 16.757 * [backup-simplify]: Simplify 2.0 into 2.0 16.757 * [taylor]: Taking taylor expansion of PI in k 16.757 * [backup-simplify]: Simplify PI into PI 16.757 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.758 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.758 * [backup-simplify]: Simplify (* 0.5 0) into 0 16.759 * [backup-simplify]: Simplify (* 0 (log (* 2.0 PI))) into 0 16.759 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.760 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.761 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 16.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 (log (* 2.0 PI)))) into (* 0.5 (log (* 2.0 PI))) 16.763 * [backup-simplify]: Simplify (exp 0) into 1 16.763 * [backup-simplify]: Simplify (/ (pow n 0.5) 1) into (pow (pow n 1.0) 0.5) 16.763 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 16.763 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 16.763 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 16.763 * [taylor]: Taking taylor expansion of 0.5 in k 16.763 * [backup-simplify]: Simplify 0.5 into 0.5 16.763 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 16.763 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 16.763 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 16.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 16.764 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 16.764 * [taylor]: Taking taylor expansion of 1.0 in k 16.764 * [backup-simplify]: Simplify 1.0 into 1.0 16.764 * [taylor]: Taking taylor expansion of (log PI) in k 16.764 * [taylor]: Taking taylor expansion of PI in k 16.764 * [backup-simplify]: Simplify PI into PI 16.764 * [backup-simplify]: Simplify (log PI) into (log PI) 16.765 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.766 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.766 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 16.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 16.766 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 16.766 * [taylor]: Taking taylor expansion of 1.0 in k 16.766 * [backup-simplify]: Simplify 1.0 into 1.0 16.766 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.766 * [taylor]: Taking taylor expansion of 2.0 in k 16.766 * [backup-simplify]: Simplify 2.0 into 2.0 16.766 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.767 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.767 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.769 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 16.773 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 16.779 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 16.790 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 16.799 * [backup-simplify]: Simplify (* (pow (pow n 1.0) 0.5) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 16.801 * [backup-simplify]: Simplify (* 0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) into 0 16.801 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.801 * [taylor]: Taking taylor expansion of 0 in n 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 0 into 0 16.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.804 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 16.805 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 16.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.808 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 16.810 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 16.811 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 16.813 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 16.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 16.816 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.817 * [backup-simplify]: Simplify (- 1) into -1 16.817 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.818 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 16.819 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 16.824 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1)))) into (* 0.5 (log (* 2.0 PI))) 16.826 * [backup-simplify]: Simplify (- (/ (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 16.832 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 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))))) 16.836 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 16.837 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 16.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 16.837 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 16.837 * [taylor]: Taking taylor expansion of +nan.0 in n 16.837 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.837 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.837 * [taylor]: Taking taylor expansion of 0.5 in n 16.837 * [backup-simplify]: Simplify 0.5 into 0.5 16.837 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.837 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.837 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.837 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.837 * [taylor]: Taking taylor expansion of 1.0 in n 16.837 * [backup-simplify]: Simplify 1.0 into 1.0 16.837 * [taylor]: Taking taylor expansion of (log PI) in n 16.837 * [taylor]: Taking taylor expansion of PI in n 16.837 * [backup-simplify]: Simplify PI into PI 16.838 * [backup-simplify]: Simplify (log PI) into (log PI) 16.838 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.839 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.839 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.839 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.839 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.839 * [taylor]: Taking taylor expansion of 1.0 in n 16.839 * [backup-simplify]: Simplify 1.0 into 1.0 16.839 * [taylor]: Taking taylor expansion of (log n) in n 16.839 * [taylor]: Taking taylor expansion of n in n 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 1 into 1 16.840 * [backup-simplify]: Simplify (log 1) into 0 16.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.840 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.840 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.840 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.840 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.840 * [taylor]: Taking taylor expansion of 1.0 in n 16.840 * [backup-simplify]: Simplify 1.0 into 1.0 16.840 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.840 * [taylor]: Taking taylor expansion of 2.0 in n 16.840 * [backup-simplify]: Simplify 2.0 into 2.0 16.841 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.841 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.843 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.844 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 16.845 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 16.846 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 16.848 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 16.849 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 16.851 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 16.852 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 16.854 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 16.854 * [backup-simplify]: Simplify 0 into 0 16.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 16.858 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 16.861 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.875 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 16.877 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.879 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 16.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 16.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 16.891 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.894 * [backup-simplify]: Simplify (- 0) into 0 16.894 * [backup-simplify]: Simplify (+ 0 0) into 0 16.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 16.898 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 16.899 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.903 * [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 16.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 16.905 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 (log (* 2.0 PI))))) into 0 16.917 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (pow (log (* 2.0 PI)) 2)) 16.928 * [backup-simplify]: Simplify (- (/ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) 16.939 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 0) (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 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))) (+ (* 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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) 16.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.942 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.950 * [backup-simplify]: Simplify (+ (* 0 (+ (* 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))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 16.955 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) 16.955 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 16.955 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 16.955 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 16.955 * [taylor]: Taking taylor expansion of +nan.0 in n 16.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.955 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 16.955 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 16.956 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 16.956 * [taylor]: Taking taylor expansion of 2.0 in n 16.956 * [backup-simplify]: Simplify 2.0 into 2.0 16.956 * [taylor]: Taking taylor expansion of PI in n 16.956 * [backup-simplify]: Simplify PI into PI 16.956 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.957 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.957 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.957 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.957 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.957 * [taylor]: Taking taylor expansion of 0.5 in n 16.957 * [backup-simplify]: Simplify 0.5 into 0.5 16.957 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.957 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.957 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.957 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.957 * [taylor]: Taking taylor expansion of 1.0 in n 16.957 * [backup-simplify]: Simplify 1.0 into 1.0 16.957 * [taylor]: Taking taylor expansion of (log PI) in n 16.957 * [taylor]: Taking taylor expansion of PI in n 16.957 * [backup-simplify]: Simplify PI into PI 16.957 * [backup-simplify]: Simplify (log PI) into (log PI) 16.958 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.959 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.959 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.959 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.959 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.959 * [taylor]: Taking taylor expansion of 1.0 in n 16.959 * [backup-simplify]: Simplify 1.0 into 1.0 16.959 * [taylor]: Taking taylor expansion of (log n) in n 16.959 * [taylor]: Taking taylor expansion of n in n 16.959 * [backup-simplify]: Simplify 0 into 0 16.959 * [backup-simplify]: Simplify 1 into 1 16.959 * [backup-simplify]: Simplify (log 1) into 0 16.960 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.960 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.960 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.960 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.960 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.960 * [taylor]: Taking taylor expansion of 1.0 in n 16.960 * [backup-simplify]: Simplify 1.0 into 1.0 16.960 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.960 * [taylor]: Taking taylor expansion of 2.0 in n 16.960 * [backup-simplify]: Simplify 2.0 into 2.0 16.960 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.961 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.962 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.963 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 16.964 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 16.966 * [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)) 16.967 * [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))) 16.969 * [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) 16.969 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) in n 16.969 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 16.969 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 16.969 * [taylor]: Taking taylor expansion of +nan.0 in n 16.969 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.969 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 16.969 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 16.969 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 16.969 * [taylor]: Taking taylor expansion of 0.5 in n 16.969 * [backup-simplify]: Simplify 0.5 into 0.5 16.969 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 16.969 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 16.969 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.969 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.969 * [taylor]: Taking taylor expansion of 1.0 in n 16.969 * [backup-simplify]: Simplify 1.0 into 1.0 16.969 * [taylor]: Taking taylor expansion of (log PI) in n 16.969 * [taylor]: Taking taylor expansion of PI in n 16.969 * [backup-simplify]: Simplify PI into PI 16.969 * [backup-simplify]: Simplify (log PI) into (log PI) 16.970 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.971 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.971 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 16.971 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.971 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.971 * [taylor]: Taking taylor expansion of 1.0 in n 16.971 * [backup-simplify]: Simplify 1.0 into 1.0 16.971 * [taylor]: Taking taylor expansion of (log n) in n 16.971 * [taylor]: Taking taylor expansion of n in n 16.971 * [backup-simplify]: Simplify 0 into 0 16.971 * [backup-simplify]: Simplify 1 into 1 16.971 * [backup-simplify]: Simplify (log 1) into 0 16.972 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.972 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.972 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.972 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.972 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.972 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.972 * [taylor]: Taking taylor expansion of 1.0 in n 16.972 * [backup-simplify]: Simplify 1.0 into 1.0 16.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.972 * [taylor]: Taking taylor expansion of 2.0 in n 16.972 * [backup-simplify]: Simplify 2.0 into 2.0 16.972 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.973 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.974 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.974 * [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) 16.975 * [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) 16.976 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 16.977 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 16.978 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 16.978 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 16.978 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 16.978 * [taylor]: Taking taylor expansion of +nan.0 in n 16.978 * [backup-simplify]: Simplify +nan.0 into +nan.0 16.978 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 16.978 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 16.978 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 16.978 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 16.978 * [taylor]: Taking taylor expansion of 0.5 in n 16.978 * [backup-simplify]: Simplify 0.5 into 0.5 16.978 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 16.978 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 16.978 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 16.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 16.978 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 16.978 * [taylor]: Taking taylor expansion of 1.0 in n 16.978 * [backup-simplify]: Simplify 1.0 into 1.0 16.978 * [taylor]: Taking taylor expansion of (log 2.0) in n 16.978 * [taylor]: Taking taylor expansion of 2.0 in n 16.978 * [backup-simplify]: Simplify 2.0 into 2.0 16.978 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.979 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 16.980 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 16.980 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 16.980 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 16.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 16.980 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 16.980 * [taylor]: Taking taylor expansion of 1.0 in n 16.980 * [backup-simplify]: Simplify 1.0 into 1.0 16.980 * [taylor]: Taking taylor expansion of (log PI) in n 16.980 * [taylor]: Taking taylor expansion of PI in n 16.980 * [backup-simplify]: Simplify PI into PI 16.980 * [backup-simplify]: Simplify (log PI) into (log PI) 16.981 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 16.982 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 16.982 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 16.982 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 16.982 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 16.982 * [taylor]: Taking taylor expansion of 1.0 in n 16.982 * [backup-simplify]: Simplify 1.0 into 1.0 16.982 * [taylor]: Taking taylor expansion of (log n) in n 16.982 * [taylor]: Taking taylor expansion of n in n 16.982 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify 1 into 1 16.982 * [backup-simplify]: Simplify (log 1) into 0 16.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.983 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.983 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 16.983 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 16.984 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 16.985 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 16.986 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 16.987 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 16.987 * [taylor]: Taking taylor expansion of (log n) in n 16.987 * [taylor]: Taking taylor expansion of n in n 16.987 * [backup-simplify]: Simplify 0 into 0 16.987 * [backup-simplify]: Simplify 1 into 1 16.987 * [backup-simplify]: Simplify (log 1) into 0 16.989 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 16.990 * [backup-simplify]: Simplify (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 16.991 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 16.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.992 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 16.993 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 16.994 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 16.996 * [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)))))) 17.006 * [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)))))) 17.010 * [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))))))) 17.016 * [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)))))))) 17.023 * [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))))))) 17.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.025 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.027 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.030 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 17.031 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 17.032 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.034 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.036 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.038 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 17.040 * [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 17.042 * [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 17.044 * [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 17.046 * [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 17.046 * [backup-simplify]: Simplify (- 0) into 0 17.046 * [backup-simplify]: Simplify 0 into 0 17.047 * [backup-simplify]: Simplify 0 into 0 17.051 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 17.051 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.053 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.056 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 17.057 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 17.058 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.059 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2.0 1.0))))) into 0 17.063 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 6) into 0 17.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))))) into 0 17.067 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.069 * [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 17.070 * [backup-simplify]: Simplify (- 0) into 0 17.070 * [backup-simplify]: Simplify (+ 0 0) into 0 17.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 17.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 17.073 * [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))) 17.074 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.077 * [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 17.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 17.088 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (* 0.5 (log (* 2.0 PI))) 3) 6)) (* (/ (pow (* 0.5 (log (* 2.0 PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 17.100 * [backup-simplify]: Simplify (- (/ (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 1) (+ (* (pow (pow n 1.0) 0.5) (/ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) 1)) (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) (/ (* 0.125 (pow (log (* 2.0 PI)) 2)) 1)) (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) (/ (* 0.5 (log (* 2.0 PI))) 1)))) into (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (pow n 1.0) 0.5))) (+ (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (pow n 1.0) 0.5))) (+ (* 0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (pow n 1.0) 0.5))))))) 17.131 * [backup-simplify]: Simplify (+ (* (pow (pow n 1.0) 0.5) 0) (+ (* (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (pow n 1.0) 0.5))) (* 0.5 (* (pow (pow n 1.0) 0.5) (log n))))) 0) (+ (* (+ (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (pow n 1.0) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (pow n 1.0) 0.5))))) 0) (* (- (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (pow n 1.0) 0.5))) (+ (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (pow n 1.0) 0.5))) (+ (* 0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (pow n 1.0) 0.5))))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 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))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.02083333333333333 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) 17.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.153 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (pow (log n) 2)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log (* 2.0 PI)) 2) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.02083333333333333 (* (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 (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))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 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 (* (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)))))))))))))) 17.171 * [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 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 (* (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))))))))))))))) (+ (* 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 (* (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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 17.171 * [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 (* (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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 17.171 * [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 (* (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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 17.171 * [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 17.171 * [taylor]: Taking taylor expansion of +nan.0 in n 17.171 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.171 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 17.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 17.171 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 17.171 * [taylor]: Taking taylor expansion of 0.5 in n 17.171 * [backup-simplify]: Simplify 0.5 into 0.5 17.171 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 17.171 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 17.171 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.171 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.171 * [taylor]: Taking taylor expansion of 1.0 in n 17.171 * [backup-simplify]: Simplify 1.0 into 1.0 17.171 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.171 * [taylor]: Taking taylor expansion of 2.0 in n 17.171 * [backup-simplify]: Simplify 2.0 into 2.0 17.172 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.172 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.174 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.174 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 17.174 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.174 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.174 * [taylor]: Taking taylor expansion of 1.0 in n 17.174 * [backup-simplify]: Simplify 1.0 into 1.0 17.174 * [taylor]: Taking taylor expansion of (log n) in n 17.174 * [taylor]: Taking taylor expansion of n in n 17.174 * [backup-simplify]: Simplify 0 into 0 17.174 * [backup-simplify]: Simplify 1 into 1 17.175 * [backup-simplify]: Simplify (log 1) into 0 17.175 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.175 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.175 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.175 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.175 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.175 * [taylor]: Taking taylor expansion of 1.0 in n 17.175 * [backup-simplify]: Simplify 1.0 into 1.0 17.175 * [taylor]: Taking taylor expansion of (log PI) in n 17.175 * [taylor]: Taking taylor expansion of PI in n 17.175 * [backup-simplify]: Simplify PI into PI 17.176 * [backup-simplify]: Simplify (log PI) into (log PI) 17.177 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.179 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.179 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.181 * [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) 17.182 * [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)) 17.184 * [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))) 17.185 * [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) 17.185 * [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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 17.185 * [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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 17.185 * [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 17.186 * [taylor]: Taking taylor expansion of +nan.0 in n 17.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.186 * [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 17.186 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.186 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.186 * [taylor]: Taking taylor expansion of 2.0 in n 17.186 * [backup-simplify]: Simplify 2.0 into 2.0 17.186 * [taylor]: Taking taylor expansion of PI in n 17.186 * [backup-simplify]: Simplify PI into PI 17.186 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.187 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.188 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 17.188 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 17.188 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 17.188 * [taylor]: Taking taylor expansion of 0.5 in n 17.188 * [backup-simplify]: Simplify 0.5 into 0.5 17.188 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 17.188 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 17.188 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.188 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.188 * [taylor]: Taking taylor expansion of 1.0 in n 17.188 * [backup-simplify]: Simplify 1.0 into 1.0 17.188 * [taylor]: Taking taylor expansion of (log PI) in n 17.188 * [taylor]: Taking taylor expansion of PI in n 17.188 * [backup-simplify]: Simplify PI into PI 17.188 * [backup-simplify]: Simplify (log PI) into (log PI) 17.190 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.191 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.191 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 17.191 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.191 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.192 * [taylor]: Taking taylor expansion of 1.0 in n 17.192 * [backup-simplify]: Simplify 1.0 into 1.0 17.192 * [taylor]: Taking taylor expansion of (log n) in n 17.192 * [taylor]: Taking taylor expansion of n in n 17.192 * [backup-simplify]: Simplify 0 into 0 17.192 * [backup-simplify]: Simplify 1 into 1 17.192 * [backup-simplify]: Simplify (log 1) into 0 17.193 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.193 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.193 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.193 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.193 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.193 * [taylor]: Taking taylor expansion of 1.0 in n 17.193 * [backup-simplify]: Simplify 1.0 into 1.0 17.193 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.193 * [taylor]: Taking taylor expansion of 2.0 in n 17.193 * [backup-simplify]: Simplify 2.0 into 2.0 17.193 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.194 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.196 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.197 * [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) 17.198 * [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) 17.199 * [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)) 17.201 * [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))) 17.202 * [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) 17.202 * [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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 17.203 * [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))) (- (+ (* +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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 17.203 * [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 17.203 * [taylor]: Taking taylor expansion of +nan.0 in n 17.203 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.203 * [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 17.203 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 17.203 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.203 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.203 * [taylor]: Taking taylor expansion of 2.0 in n 17.203 * [backup-simplify]: Simplify 2.0 into 2.0 17.203 * [taylor]: Taking taylor expansion of PI in n 17.203 * [backup-simplify]: Simplify PI into PI 17.204 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.205 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.205 * [taylor]: Taking taylor expansion of (log n) in n 17.205 * [taylor]: Taking taylor expansion of n in n 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 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 17.205 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 17.205 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 17.205 * [taylor]: Taking taylor expansion of 0.5 in n 17.205 * [backup-simplify]: Simplify 0.5 into 0.5 17.205 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 17.205 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 17.206 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.206 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.206 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.206 * [taylor]: Taking taylor expansion of 1.0 in n 17.206 * [backup-simplify]: Simplify 1.0 into 1.0 17.206 * [taylor]: Taking taylor expansion of (log PI) in n 17.206 * [taylor]: Taking taylor expansion of PI in n 17.206 * [backup-simplify]: Simplify PI into PI 17.206 * [backup-simplify]: Simplify (log PI) into (log PI) 17.207 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.209 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.209 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 17.209 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.209 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.209 * [taylor]: Taking taylor expansion of 1.0 in n 17.209 * [backup-simplify]: Simplify 1.0 into 1.0 17.209 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.209 * [taylor]: Taking taylor expansion of 2.0 in n 17.209 * [backup-simplify]: Simplify 2.0 into 2.0 17.210 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.211 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.212 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.212 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.213 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.213 * [taylor]: Taking taylor expansion of 1.0 in n 17.213 * [backup-simplify]: Simplify 1.0 into 1.0 17.213 * [taylor]: Taking taylor expansion of (log n) in n 17.213 * [taylor]: Taking taylor expansion of n in n 17.213 * [backup-simplify]: Simplify 0 into 0 17.213 * [backup-simplify]: Simplify 1 into 1 17.213 * [backup-simplify]: Simplify (log 1) into 0 17.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.214 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.214 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.215 * [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) 17.216 * [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) 17.217 * [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)) 17.219 * [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))) 17.220 * [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) 17.220 * [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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 17.220 * [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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 17.220 * [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 17.220 * [taylor]: Taking taylor expansion of +nan.0 in n 17.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.221 * [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 17.221 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 17.221 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 17.221 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 17.221 * [taylor]: Taking taylor expansion of 0.5 in n 17.221 * [backup-simplify]: Simplify 0.5 into 0.5 17.221 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 17.221 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 17.221 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.221 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.221 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.221 * [taylor]: Taking taylor expansion of 1.0 in n 17.221 * [backup-simplify]: Simplify 1.0 into 1.0 17.221 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.221 * [taylor]: Taking taylor expansion of 2.0 in n 17.221 * [backup-simplify]: Simplify 2.0 into 2.0 17.222 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.222 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.224 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.224 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 17.224 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.224 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.224 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.224 * [taylor]: Taking taylor expansion of 1.0 in n 17.224 * [backup-simplify]: Simplify 1.0 into 1.0 17.224 * [taylor]: Taking taylor expansion of (log PI) in n 17.224 * [taylor]: Taking taylor expansion of PI in n 17.224 * [backup-simplify]: Simplify PI into PI 17.225 * [backup-simplify]: Simplify (log PI) into (log PI) 17.226 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.227 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.227 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.228 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.228 * [taylor]: Taking taylor expansion of 1.0 in n 17.228 * [backup-simplify]: Simplify 1.0 into 1.0 17.228 * [taylor]: Taking taylor expansion of (log n) in n 17.228 * [taylor]: Taking taylor expansion of n in n 17.228 * [backup-simplify]: Simplify 0 into 0 17.228 * [backup-simplify]: Simplify 1 into 1 17.228 * [backup-simplify]: Simplify (log 1) into 0 17.228 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.229 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.229 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.229 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.231 * [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) 17.232 * [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)) 17.233 * [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))) 17.235 * [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) 17.235 * [taylor]: Taking taylor expansion of (log n) in n 17.235 * [taylor]: Taking taylor expansion of n in n 17.235 * [backup-simplify]: Simplify 0 into 0 17.235 * [backup-simplify]: Simplify 1 into 1 17.236 * [backup-simplify]: Simplify (log 1) into 0 17.236 * [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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 17.236 * [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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 17.236 * [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 17.236 * [taylor]: Taking taylor expansion of +nan.0 in n 17.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.236 * [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 17.236 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 17.236 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 17.236 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 17.236 * [taylor]: Taking taylor expansion of 0.5 in n 17.236 * [backup-simplify]: Simplify 0.5 into 0.5 17.236 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 17.236 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 17.236 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.236 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.236 * [taylor]: Taking taylor expansion of 1.0 in n 17.236 * [backup-simplify]: Simplify 1.0 into 1.0 17.236 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.236 * [taylor]: Taking taylor expansion of 2.0 in n 17.236 * [backup-simplify]: Simplify 2.0 into 2.0 17.237 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.238 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.239 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.239 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 17.239 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.240 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.240 * [taylor]: Taking taylor expansion of 1.0 in n 17.240 * [backup-simplify]: Simplify 1.0 into 1.0 17.240 * [taylor]: Taking taylor expansion of (log PI) in n 17.240 * [taylor]: Taking taylor expansion of PI in n 17.240 * [backup-simplify]: Simplify PI into PI 17.240 * [backup-simplify]: Simplify (log PI) into (log PI) 17.241 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.243 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.243 * [taylor]: Taking taylor expansion of 1.0 in n 17.243 * [backup-simplify]: Simplify 1.0 into 1.0 17.243 * [taylor]: Taking taylor expansion of (log n) in n 17.243 * [taylor]: Taking taylor expansion of n in n 17.243 * [backup-simplify]: Simplify 0 into 0 17.243 * [backup-simplify]: Simplify 1 into 1 17.244 * [backup-simplify]: Simplify (log 1) into 0 17.244 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.244 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.244 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.245 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.246 * [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) 17.248 * [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)) 17.249 * [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))) 17.250 * [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) 17.251 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 17.251 * [taylor]: Taking taylor expansion of (log n) in n 17.251 * [taylor]: Taking taylor expansion of n in n 17.251 * [backup-simplify]: Simplify 0 into 0 17.251 * [backup-simplify]: Simplify 1 into 1 17.251 * [backup-simplify]: Simplify (log 1) into 0 17.252 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.252 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 17.252 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 17.252 * [taylor]: Taking taylor expansion of +nan.0 in n 17.252 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.252 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 17.252 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 17.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.252 * [taylor]: Taking taylor expansion of 2.0 in n 17.252 * [backup-simplify]: Simplify 2.0 into 2.0 17.252 * [taylor]: Taking taylor expansion of PI in n 17.252 * [backup-simplify]: Simplify PI into PI 17.252 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.254 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.254 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 17.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 17.254 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 17.254 * [taylor]: Taking taylor expansion of 0.5 in n 17.254 * [backup-simplify]: Simplify 0.5 into 0.5 17.254 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 17.254 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 17.254 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.254 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.254 * [taylor]: Taking taylor expansion of 1.0 in n 17.254 * [backup-simplify]: Simplify 1.0 into 1.0 17.254 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.254 * [taylor]: Taking taylor expansion of 2.0 in n 17.254 * [backup-simplify]: Simplify 2.0 into 2.0 17.254 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.265 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.267 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.267 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 17.267 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 17.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 17.267 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 17.267 * [taylor]: Taking taylor expansion of 1.0 in n 17.267 * [backup-simplify]: Simplify 1.0 into 1.0 17.267 * [taylor]: Taking taylor expansion of (log n) in n 17.267 * [taylor]: Taking taylor expansion of n in n 17.267 * [backup-simplify]: Simplify 0 into 0 17.267 * [backup-simplify]: Simplify 1 into 1 17.268 * [backup-simplify]: Simplify (log 1) into 0 17.268 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.268 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 17.268 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 17.268 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.268 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.268 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.268 * [taylor]: Taking taylor expansion of 1.0 in n 17.268 * [backup-simplify]: Simplify 1.0 into 1.0 17.268 * [taylor]: Taking taylor expansion of (log PI) in n 17.269 * [taylor]: Taking taylor expansion of PI in n 17.269 * [backup-simplify]: Simplify PI into PI 17.269 * [backup-simplify]: Simplify (log PI) into (log PI) 17.270 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.272 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.272 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 17.274 * [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) 17.275 * [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)) 17.276 * [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))) 17.278 * [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) 17.279 * [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)) 17.282 * [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)) 17.284 * [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))) 17.285 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.286 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log n)) into (* (log (* 2.0 PI)) (log n)) 17.289 * [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)) 17.291 * [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))) 17.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.294 * [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)) 17.295 * [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))) 17.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 17.296 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 17.298 * [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)) 17.300 * [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))) 17.302 * [backup-simplify]: Simplify (* (log (* 2.0 PI)) (log (* 2.0 PI))) into (pow (log (* 2.0 PI)) 2) 17.304 * [backup-simplify]: Simplify (* (pow (log (* 2.0 PI)) 2) (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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 17.306 * [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))) into (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 17.308 * [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)))) 17.312 * [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))))) 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)))))) 17.315 * [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))))))) 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)))))) 17.320 * [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 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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)))))))) 17.325 * [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))))))))) 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 n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 17.332 * [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))) (- (+ (* +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 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 (* (* (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 (* 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)))))))))) 17.339 * [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 (* (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))))))))))) 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)))))))))) 17.348 * [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 (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))))))))))) 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 (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 (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)))))))))))) 17.359 * [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 (* (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 (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))))))))))))) 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)) (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 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)))))))))))) 17.372 * [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 (* 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 (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))))))))))))) 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 (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 (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)))))))))))))) 17.389 * [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 (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 (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))))))))))))))) 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 (* (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 (* (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)))))))))))))) 17.401 * [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 (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)))))))))))))) 17.430 * [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)))))))))))))))))))))) 17.435 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (/ (/ 1 k) 2.0)))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) 17.435 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in (k n) around 0 17.435 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in n 17.435 * [taylor]: Taking taylor expansion of 1.0 in n 17.435 * [backup-simplify]: Simplify 1.0 into 1.0 17.435 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in n 17.435 * [taylor]: Taking taylor expansion of (sqrt k) in n 17.435 * [taylor]: Taking taylor expansion of k in n 17.435 * [backup-simplify]: Simplify k into k 17.436 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 17.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 17.436 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in n 17.436 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 17.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 17.436 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 17.436 * [taylor]: Taking taylor expansion of 0.5 in n 17.436 * [backup-simplify]: Simplify 0.5 into 0.5 17.436 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 17.436 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 17.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.436 * [taylor]: Taking taylor expansion of 1.0 in n 17.436 * [backup-simplify]: Simplify 1.0 into 1.0 17.436 * [taylor]: Taking taylor expansion of (log PI) in n 17.436 * [taylor]: Taking taylor expansion of PI in n 17.436 * [backup-simplify]: Simplify PI into PI 17.437 * [backup-simplify]: Simplify (log PI) into (log PI) 17.438 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.440 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.440 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.440 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.440 * [taylor]: Taking taylor expansion of 1.0 in n 17.440 * [backup-simplify]: Simplify 1.0 into 1.0 17.440 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.440 * [taylor]: Taking taylor expansion of 2.0 in n 17.440 * [backup-simplify]: Simplify 2.0 into 2.0 17.440 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.441 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.443 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.445 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.448 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.455 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.465 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.465 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in n 17.465 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 17.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 17.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 17.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 17.465 * [taylor]: Taking taylor expansion of 0.5 in n 17.465 * [backup-simplify]: Simplify 0.5 into 0.5 17.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.465 * [taylor]: Taking taylor expansion of 1.0 in n 17.465 * [backup-simplify]: Simplify 1.0 into 1.0 17.465 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.465 * [taylor]: Taking taylor expansion of k in n 17.465 * [backup-simplify]: Simplify k into k 17.465 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.465 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.465 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.465 * [taylor]: Taking taylor expansion of n in n 17.465 * [backup-simplify]: Simplify 0 into 0 17.465 * [backup-simplify]: Simplify 1 into 1 17.466 * [backup-simplify]: Simplify (/ 1 1) into 1 17.466 * [backup-simplify]: Simplify (log 1) into 0 17.466 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.466 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.466 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 17.467 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.467 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.467 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in n 17.467 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in n 17.467 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in n 17.468 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 17.468 * [taylor]: Taking taylor expansion of 0.5 in n 17.468 * [backup-simplify]: Simplify 0.5 into 0.5 17.468 * [taylor]: Taking taylor expansion of k in n 17.468 * [backup-simplify]: Simplify k into k 17.468 * [backup-simplify]: Simplify (/ 0.5 k) into (/ 0.5 k) 17.468 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.468 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.468 * [taylor]: Taking taylor expansion of 2.0 in n 17.468 * [backup-simplify]: Simplify 2.0 into 2.0 17.468 * [taylor]: Taking taylor expansion of PI in n 17.468 * [backup-simplify]: Simplify PI into PI 17.468 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.469 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.470 * [backup-simplify]: Simplify (* (/ 0.5 k) (log (* 2.0 PI))) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.472 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.473 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in k 17.473 * [taylor]: Taking taylor expansion of 1.0 in k 17.473 * [backup-simplify]: Simplify 1.0 into 1.0 17.473 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in k 17.473 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.473 * [taylor]: Taking taylor expansion of k in k 17.473 * [backup-simplify]: Simplify 0 into 0 17.473 * [backup-simplify]: Simplify 1 into 1 17.474 * [backup-simplify]: Simplify (sqrt 0) into 0 17.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.475 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in k 17.475 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.475 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.475 * [taylor]: Taking taylor expansion of 0.5 in k 17.475 * [backup-simplify]: Simplify 0.5 into 0.5 17.475 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.475 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.476 * [taylor]: Taking taylor expansion of 1.0 in k 17.476 * [backup-simplify]: Simplify 1.0 into 1.0 17.476 * [taylor]: Taking taylor expansion of (log PI) in k 17.476 * [taylor]: Taking taylor expansion of PI in k 17.476 * [backup-simplify]: Simplify PI into PI 17.476 * [backup-simplify]: Simplify (log PI) into (log PI) 17.477 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.479 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.479 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.479 * [taylor]: Taking taylor expansion of 1.0 in k 17.479 * [backup-simplify]: Simplify 1.0 into 1.0 17.479 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.479 * [taylor]: Taking taylor expansion of 2.0 in k 17.479 * [backup-simplify]: Simplify 2.0 into 2.0 17.479 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.480 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.481 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.482 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.485 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.488 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.494 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.494 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in k 17.494 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 17.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 17.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 17.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.494 * [taylor]: Taking taylor expansion of 0.5 in k 17.494 * [backup-simplify]: Simplify 0.5 into 0.5 17.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.494 * [taylor]: Taking taylor expansion of 1.0 in k 17.494 * [backup-simplify]: Simplify 1.0 into 1.0 17.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.494 * [taylor]: Taking taylor expansion of k in k 17.494 * [backup-simplify]: Simplify 0 into 0 17.494 * [backup-simplify]: Simplify 1 into 1 17.494 * [backup-simplify]: Simplify (/ 1 1) into 1 17.495 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.495 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.495 * [taylor]: Taking taylor expansion of n in k 17.495 * [backup-simplify]: Simplify n into n 17.495 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.495 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.495 * [backup-simplify]: Simplify (- 1) into -1 17.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.495 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.496 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.496 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 17.496 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 17.496 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 17.496 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 17.496 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 17.496 * [taylor]: Taking taylor expansion of 0.5 in k 17.496 * [backup-simplify]: Simplify 0.5 into 0.5 17.496 * [taylor]: Taking taylor expansion of k in k 17.496 * [backup-simplify]: Simplify 0 into 0 17.496 * [backup-simplify]: Simplify 1 into 1 17.496 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 17.496 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.496 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.496 * [taylor]: Taking taylor expansion of 2.0 in k 17.496 * [backup-simplify]: Simplify 2.0 into 2.0 17.496 * [taylor]: Taking taylor expansion of PI in k 17.496 * [backup-simplify]: Simplify PI into PI 17.497 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.497 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.498 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 17.499 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.500 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.500 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))))) in k 17.500 * [taylor]: Taking taylor expansion of 1.0 in k 17.500 * [backup-simplify]: Simplify 1.0 into 1.0 17.500 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))))) in k 17.500 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.500 * [taylor]: Taking taylor expansion of k in k 17.500 * [backup-simplify]: Simplify 0 into 0 17.500 * [backup-simplify]: Simplify 1 into 1 17.500 * [backup-simplify]: Simplify (sqrt 0) into 0 17.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.501 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k)))) in k 17.501 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.501 * [taylor]: Taking taylor expansion of 0.5 in k 17.501 * [backup-simplify]: Simplify 0.5 into 0.5 17.501 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.502 * [taylor]: Taking taylor expansion of 1.0 in k 17.502 * [backup-simplify]: Simplify 1.0 into 1.0 17.502 * [taylor]: Taking taylor expansion of (log PI) in k 17.502 * [taylor]: Taking taylor expansion of PI in k 17.502 * [backup-simplify]: Simplify PI into PI 17.502 * [backup-simplify]: Simplify (log PI) into (log PI) 17.503 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.504 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.504 * [taylor]: Taking taylor expansion of 1.0 in k 17.504 * [backup-simplify]: Simplify 1.0 into 1.0 17.504 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.504 * [taylor]: Taking taylor expansion of 2.0 in k 17.504 * [backup-simplify]: Simplify 2.0 into 2.0 17.504 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.505 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.505 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.507 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.514 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.518 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.524 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.524 * [taylor]: Taking taylor expansion of (/ (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (/ 0.5 k))) in k 17.524 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 17.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 17.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 17.524 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.524 * [taylor]: Taking taylor expansion of 0.5 in k 17.524 * [backup-simplify]: Simplify 0.5 into 0.5 17.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.524 * [taylor]: Taking taylor expansion of 1.0 in k 17.524 * [backup-simplify]: Simplify 1.0 into 1.0 17.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.524 * [taylor]: Taking taylor expansion of k in k 17.524 * [backup-simplify]: Simplify 0 into 0 17.524 * [backup-simplify]: Simplify 1 into 1 17.524 * [backup-simplify]: Simplify (/ 1 1) into 1 17.524 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 17.524 * [taylor]: Taking taylor expansion of (/ 1 n) in k 17.524 * [taylor]: Taking taylor expansion of n in k 17.524 * [backup-simplify]: Simplify n into n 17.524 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 17.524 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 17.525 * [backup-simplify]: Simplify (- 1) into -1 17.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.525 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.525 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 17.525 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 17.525 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ 0.5 k)) in k 17.525 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 PI)))) in k 17.525 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 PI))) in k 17.525 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 17.525 * [taylor]: Taking taylor expansion of 0.5 in k 17.525 * [backup-simplify]: Simplify 0.5 into 0.5 17.525 * [taylor]: Taking taylor expansion of k in k 17.526 * [backup-simplify]: Simplify 0 into 0 17.526 * [backup-simplify]: Simplify 1 into 1 17.526 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 17.526 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.526 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.526 * [taylor]: Taking taylor expansion of 2.0 in k 17.526 * [backup-simplify]: Simplify 2.0 into 2.0 17.526 * [taylor]: Taking taylor expansion of PI in k 17.526 * [backup-simplify]: Simplify PI into PI 17.526 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.527 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.528 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 17.529 * [backup-simplify]: Simplify (exp (* (/ 0.5 k) (log (* 2.0 PI)))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.529 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.535 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) into (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) 17.538 * [backup-simplify]: Simplify (* 0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into 0 17.538 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.538 * [taylor]: Taking taylor expansion of 0 in n 17.538 * [backup-simplify]: Simplify 0 into 0 17.538 * [backup-simplify]: Simplify 0 into 0 17.540 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.542 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.543 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.544 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.545 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.546 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 17.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 17.548 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 17.550 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.552 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into 0 17.555 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.558 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0)) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.559 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 17.559 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 17.559 * [taylor]: Taking taylor expansion of +nan.0 in n 17.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.559 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 17.559 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 17.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 17.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 17.559 * [taylor]: Taking taylor expansion of 0.5 in n 17.559 * [backup-simplify]: Simplify 0.5 into 0.5 17.559 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 17.559 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.559 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.559 * [taylor]: Taking taylor expansion of n in n 17.559 * [backup-simplify]: Simplify 0 into 0 17.559 * [backup-simplify]: Simplify 1 into 1 17.559 * [backup-simplify]: Simplify (/ 1 1) into 1 17.559 * [backup-simplify]: Simplify (log 1) into 0 17.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.559 * [taylor]: Taking taylor expansion of 1.0 in n 17.559 * [backup-simplify]: Simplify 1.0 into 1.0 17.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.559 * [taylor]: Taking taylor expansion of k in n 17.559 * [backup-simplify]: Simplify k into k 17.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.560 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.560 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.560 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 17.560 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.560 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 17.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 17.560 * [taylor]: Taking taylor expansion of 0.5 in n 17.560 * [backup-simplify]: Simplify 0.5 into 0.5 17.560 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 17.560 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.560 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.560 * [taylor]: Taking taylor expansion of 2.0 in n 17.560 * [backup-simplify]: Simplify 2.0 into 2.0 17.560 * [taylor]: Taking taylor expansion of PI in n 17.560 * [backup-simplify]: Simplify PI into PI 17.561 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.561 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.561 * [taylor]: Taking taylor expansion of k in n 17.561 * [backup-simplify]: Simplify k into k 17.562 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 17.563 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.563 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.564 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.564 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 17.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 17.564 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 17.564 * [taylor]: Taking taylor expansion of 0.5 in n 17.564 * [backup-simplify]: Simplify 0.5 into 0.5 17.564 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 17.564 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 17.564 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.564 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.564 * [taylor]: Taking taylor expansion of 1.0 in n 17.564 * [backup-simplify]: Simplify 1.0 into 1.0 17.564 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.564 * [taylor]: Taking taylor expansion of 2.0 in n 17.565 * [backup-simplify]: Simplify 2.0 into 2.0 17.565 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.565 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.566 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.566 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.566 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.566 * [taylor]: Taking taylor expansion of 1.0 in n 17.566 * [backup-simplify]: Simplify 1.0 into 1.0 17.566 * [taylor]: Taking taylor expansion of (log PI) in n 17.566 * [taylor]: Taking taylor expansion of PI in n 17.566 * [backup-simplify]: Simplify PI into PI 17.567 * [backup-simplify]: Simplify (log PI) into (log PI) 17.567 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.568 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.569 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.572 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.575 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.581 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.586 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 17.589 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 17.592 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.595 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.595 * [backup-simplify]: Simplify 0 into 0 17.598 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.599 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 17.600 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 17.612 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.617 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 17.618 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 17.621 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.622 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 17.626 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 17.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 17.633 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.637 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.641 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.655 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.655 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 17.655 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 17.655 * [taylor]: Taking taylor expansion of +nan.0 in n 17.655 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.655 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 17.655 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 17.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 17.655 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 17.655 * [taylor]: Taking taylor expansion of 0.5 in n 17.656 * [backup-simplify]: Simplify 0.5 into 0.5 17.656 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 17.656 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.656 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.656 * [taylor]: Taking taylor expansion of n in n 17.656 * [backup-simplify]: Simplify 0 into 0 17.656 * [backup-simplify]: Simplify 1 into 1 17.656 * [backup-simplify]: Simplify (/ 1 1) into 1 17.656 * [backup-simplify]: Simplify (log 1) into 0 17.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.656 * [taylor]: Taking taylor expansion of 1.0 in n 17.657 * [backup-simplify]: Simplify 1.0 into 1.0 17.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.657 * [taylor]: Taking taylor expansion of k in n 17.657 * [backup-simplify]: Simplify k into k 17.657 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.657 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.657 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.658 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 17.658 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.658 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 17.658 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 17.658 * [taylor]: Taking taylor expansion of 0.5 in n 17.658 * [backup-simplify]: Simplify 0.5 into 0.5 17.658 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 17.658 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.658 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.658 * [taylor]: Taking taylor expansion of 2.0 in n 17.658 * [backup-simplify]: Simplify 2.0 into 2.0 17.658 * [taylor]: Taking taylor expansion of PI in n 17.658 * [backup-simplify]: Simplify PI into PI 17.659 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.660 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.660 * [taylor]: Taking taylor expansion of k in n 17.660 * [backup-simplify]: Simplify k into k 17.661 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 17.662 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.663 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.665 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.665 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 17.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 17.665 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 17.665 * [taylor]: Taking taylor expansion of 0.5 in n 17.665 * [backup-simplify]: Simplify 0.5 into 0.5 17.665 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 17.665 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 17.665 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.665 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.665 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.665 * [taylor]: Taking taylor expansion of 1.0 in n 17.665 * [backup-simplify]: Simplify 1.0 into 1.0 17.665 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.665 * [taylor]: Taking taylor expansion of 2.0 in n 17.665 * [backup-simplify]: Simplify 2.0 into 2.0 17.666 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.666 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.668 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.668 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.668 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.668 * [taylor]: Taking taylor expansion of 1.0 in n 17.668 * [backup-simplify]: Simplify 1.0 into 1.0 17.668 * [taylor]: Taking taylor expansion of (log PI) in n 17.668 * [taylor]: Taking taylor expansion of PI in n 17.668 * [backup-simplify]: Simplify PI into PI 17.669 * [backup-simplify]: Simplify (log PI) into (log PI) 17.669 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.671 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.673 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.677 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.683 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.692 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.702 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 17.706 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 17.711 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.715 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 17.718 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 17.719 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 17.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 17.721 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 17.723 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 17.724 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow PI 1.0))) into 0 17.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1)))) 1) into 0 17.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)))) into 0 17.733 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 17.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.734 * [backup-simplify]: Simplify (- 0) into 0 17.734 * [backup-simplify]: Simplify (+ 0 0) into 0 17.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 17.736 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 17.737 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 17.738 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 17.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 17.742 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (log (* 2.0 PI)) k) (/ 0 k)))) into 0 17.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ (log (* 2.0 PI)) k))) into 0 17.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (/ (log (* 2.0 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.749 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.752 * [backup-simplify]: Simplify (+ (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 0) (* 0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 17.757 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.757 * [backup-simplify]: Simplify (- 0) into 0 17.757 * [backup-simplify]: Simplify 0 into 0 17.757 * [backup-simplify]: Simplify 0 into 0 17.769 * [backup-simplify]: Simplify (- (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) (* 0 (/ 0 (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into 0 17.772 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 17.773 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.774 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.778 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 17.778 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 17.780 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.781 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow 2.0 1.0))))) into 0 17.785 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 6) into 0 17.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))))) into 0 17.789 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.792 * [backup-simplify]: Simplify (+ (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))))) into 0 17.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.807 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (* 0 0)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 17.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in n 17.807 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in n 17.807 * [taylor]: Taking taylor expansion of +nan.0 in n 17.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.807 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in n 17.807 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) in n 17.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 17.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 17.807 * [taylor]: Taking taylor expansion of 0.5 in n 17.808 * [backup-simplify]: Simplify 0.5 into 0.5 17.808 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 17.808 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 17.808 * [taylor]: Taking taylor expansion of (/ 1 n) in n 17.808 * [taylor]: Taking taylor expansion of n in n 17.808 * [backup-simplify]: Simplify 0 into 0 17.808 * [backup-simplify]: Simplify 1 into 1 17.808 * [backup-simplify]: Simplify (/ 1 1) into 1 17.808 * [backup-simplify]: Simplify (log 1) into 0 17.809 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 17.809 * [taylor]: Taking taylor expansion of 1.0 in n 17.809 * [backup-simplify]: Simplify 1.0 into 1.0 17.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.809 * [taylor]: Taking taylor expansion of k in n 17.809 * [backup-simplify]: Simplify k into k 17.809 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 17.809 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 17.809 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 17.810 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 17.810 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 17.810 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 17.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 PI)) k))) in n 17.810 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 PI)) k)) in n 17.810 * [taylor]: Taking taylor expansion of 0.5 in n 17.810 * [backup-simplify]: Simplify 0.5 into 0.5 17.810 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 17.810 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.810 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.810 * [taylor]: Taking taylor expansion of 2.0 in n 17.810 * [backup-simplify]: Simplify 2.0 into 2.0 17.810 * [taylor]: Taking taylor expansion of PI in n 17.810 * [backup-simplify]: Simplify PI into PI 17.811 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.812 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.812 * [taylor]: Taking taylor expansion of k in n 17.812 * [backup-simplify]: Simplify k into k 17.813 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 17.814 * [backup-simplify]: Simplify (* 0.5 (/ (log (* 2.0 PI)) k)) into (* 0.5 (/ (log (* 2.0 PI)) k)) 17.815 * [backup-simplify]: Simplify (exp (* 0.5 (/ (log (* 2.0 PI)) k))) into (exp (* 0.5 (/ (log (* 2.0 PI)) k))) 17.817 * [backup-simplify]: Simplify (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) 17.817 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 17.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 17.817 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 17.817 * [taylor]: Taking taylor expansion of 0.5 in n 17.817 * [backup-simplify]: Simplify 0.5 into 0.5 17.817 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 17.817 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 17.817 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.817 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.817 * [taylor]: Taking taylor expansion of 1.0 in n 17.817 * [backup-simplify]: Simplify 1.0 into 1.0 17.817 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.817 * [taylor]: Taking taylor expansion of 2.0 in n 17.817 * [backup-simplify]: Simplify 2.0 into 2.0 17.818 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.818 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.820 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.820 * [taylor]: Taking taylor expansion of 1.0 in n 17.820 * [backup-simplify]: Simplify 1.0 into 1.0 17.820 * [taylor]: Taking taylor expansion of (log PI) in n 17.820 * [taylor]: Taking taylor expansion of PI in n 17.820 * [backup-simplify]: Simplify PI into PI 17.821 * [backup-simplify]: Simplify (log PI) into (log PI) 17.822 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.823 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.825 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow PI 1.0)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 17.830 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0)) 17.836 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0))) 17.847 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 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 PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.856 * [backup-simplify]: Simplify (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))) 17.860 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 17.864 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) 17.869 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (* (/ (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 17.882 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (/ (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (/ (log (* 2.0 PI)) (/ 1 k))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (* (pow k 3) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 17.886 * [backup-simplify]: Simplify (* (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt (/ 1 (- k))) (pow (* 2.0 PI) (/ (/ 1 (- k)) 2.0)))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 17.886 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in (k n) around 0 17.886 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 17.886 * [taylor]: Taking taylor expansion of 1.0 in n 17.886 * [backup-simplify]: Simplify 1.0 into 1.0 17.886 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 17.886 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in n 17.887 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 17.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 17.887 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.887 * [taylor]: Taking taylor expansion of 0.5 in n 17.887 * [backup-simplify]: Simplify 0.5 into 0.5 17.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.887 * [taylor]: Taking taylor expansion of k in n 17.887 * [backup-simplify]: Simplify k into k 17.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.887 * [taylor]: Taking taylor expansion of 1.0 in n 17.887 * [backup-simplify]: Simplify 1.0 into 1.0 17.887 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 17.887 * [taylor]: Taking taylor expansion of (/ -1 n) in n 17.887 * [taylor]: Taking taylor expansion of -1 in n 17.887 * [backup-simplify]: Simplify -1 into -1 17.887 * [taylor]: Taking taylor expansion of n in n 17.887 * [backup-simplify]: Simplify 0 into 0 17.887 * [backup-simplify]: Simplify 1 into 1 17.888 * [backup-simplify]: Simplify (/ -1 1) into -1 17.888 * [backup-simplify]: Simplify (log -1) into (log -1) 17.888 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.888 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 17.900 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 17.901 * [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)))) 17.901 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in n 17.901 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 17.901 * [taylor]: Taking taylor expansion of (/ -1 k) in n 17.901 * [taylor]: Taking taylor expansion of -1 in n 17.901 * [backup-simplify]: Simplify -1 into -1 17.901 * [taylor]: Taking taylor expansion of k in n 17.901 * [backup-simplify]: Simplify k into k 17.901 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 17.901 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 17.901 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 17.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 17.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in n 17.902 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in n 17.902 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in n 17.902 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 17.902 * [taylor]: Taking taylor expansion of -0.5 in n 17.902 * [backup-simplify]: Simplify -0.5 into -0.5 17.902 * [taylor]: Taking taylor expansion of k in n 17.902 * [backup-simplify]: Simplify k into k 17.902 * [backup-simplify]: Simplify (/ -0.5 k) into (/ -0.5 k) 17.902 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 17.902 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 17.902 * [taylor]: Taking taylor expansion of 2.0 in n 17.902 * [backup-simplify]: Simplify 2.0 into 2.0 17.902 * [taylor]: Taking taylor expansion of PI in n 17.902 * [backup-simplify]: Simplify PI into PI 17.903 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.904 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.905 * [backup-simplify]: Simplify (* (/ -0.5 k) (log (* 2.0 PI))) into (* -0.5 (/ (log (* 2.0 PI)) k)) 17.905 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 17.906 * [backup-simplify]: Simplify (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 17.907 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.907 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 17.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 17.907 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 17.907 * [taylor]: Taking taylor expansion of 0.5 in n 17.907 * [backup-simplify]: Simplify 0.5 into 0.5 17.907 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 17.907 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 17.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 17.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 17.907 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 17.908 * [taylor]: Taking taylor expansion of 1.0 in n 17.908 * [backup-simplify]: Simplify 1.0 into 1.0 17.908 * [taylor]: Taking taylor expansion of (log PI) in n 17.908 * [taylor]: Taking taylor expansion of PI in n 17.908 * [backup-simplify]: Simplify PI into PI 17.908 * [backup-simplify]: Simplify (log PI) into (log PI) 17.908 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.909 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.909 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 17.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 17.910 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 17.910 * [taylor]: Taking taylor expansion of 1.0 in n 17.910 * [backup-simplify]: Simplify 1.0 into 1.0 17.910 * [taylor]: Taking taylor expansion of (log 2.0) in n 17.910 * [taylor]: Taking taylor expansion of 2.0 in n 17.910 * [backup-simplify]: Simplify 2.0 into 2.0 17.910 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.910 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.911 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.912 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.915 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.919 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.924 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.924 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 17.924 * [taylor]: Taking taylor expansion of 1.0 in k 17.925 * [backup-simplify]: Simplify 1.0 into 1.0 17.925 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 17.925 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 17.925 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 17.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 17.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 17.925 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.925 * [taylor]: Taking taylor expansion of 0.5 in k 17.925 * [backup-simplify]: Simplify 0.5 into 0.5 17.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.925 * [taylor]: Taking taylor expansion of k in k 17.925 * [backup-simplify]: Simplify 0 into 0 17.925 * [backup-simplify]: Simplify 1 into 1 17.925 * [backup-simplify]: Simplify (/ 1 1) into 1 17.925 * [taylor]: Taking taylor expansion of 1.0 in k 17.925 * [backup-simplify]: Simplify 1.0 into 1.0 17.925 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 17.925 * [taylor]: Taking taylor expansion of (/ -1 n) in k 17.925 * [taylor]: Taking taylor expansion of -1 in k 17.925 * [backup-simplify]: Simplify -1 into -1 17.925 * [taylor]: Taking taylor expansion of n in k 17.925 * [backup-simplify]: Simplify n into n 17.925 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.925 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 17.926 * [backup-simplify]: Simplify (+ 1 0) into 1 17.926 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.926 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 17.926 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 17.926 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 17.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.926 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.926 * [taylor]: Taking taylor expansion of -1 in k 17.926 * [backup-simplify]: Simplify -1 into -1 17.926 * [taylor]: Taking taylor expansion of k in k 17.926 * [backup-simplify]: Simplify 0 into 0 17.926 * [backup-simplify]: Simplify 1 into 1 17.926 * [backup-simplify]: Simplify (/ -1 1) into -1 17.927 * [backup-simplify]: Simplify (sqrt 0) into 0 17.928 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.928 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 17.928 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 17.928 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 17.928 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 17.928 * [taylor]: Taking taylor expansion of -0.5 in k 17.928 * [backup-simplify]: Simplify -0.5 into -0.5 17.928 * [taylor]: Taking taylor expansion of k in k 17.928 * [backup-simplify]: Simplify 0 into 0 17.928 * [backup-simplify]: Simplify 1 into 1 17.928 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 17.928 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.928 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.928 * [taylor]: Taking taylor expansion of 2.0 in k 17.928 * [backup-simplify]: Simplify 2.0 into 2.0 17.928 * [taylor]: Taking taylor expansion of PI in k 17.928 * [backup-simplify]: Simplify PI into PI 17.928 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.929 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.930 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 17.931 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 17.932 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 17.933 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.933 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.933 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.933 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.933 * [taylor]: Taking taylor expansion of 0.5 in k 17.934 * [backup-simplify]: Simplify 0.5 into 0.5 17.934 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.934 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.934 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.934 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.934 * [taylor]: Taking taylor expansion of 1.0 in k 17.934 * [backup-simplify]: Simplify 1.0 into 1.0 17.934 * [taylor]: Taking taylor expansion of (log PI) in k 17.934 * [taylor]: Taking taylor expansion of PI in k 17.934 * [backup-simplify]: Simplify PI into PI 17.934 * [backup-simplify]: Simplify (log PI) into (log PI) 17.935 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.936 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.936 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.936 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.936 * [taylor]: Taking taylor expansion of 1.0 in k 17.936 * [backup-simplify]: Simplify 1.0 into 1.0 17.936 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.936 * [taylor]: Taking taylor expansion of 2.0 in k 17.936 * [backup-simplify]: Simplify 2.0 into 2.0 17.936 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.937 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.937 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.939 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.941 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.944 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.950 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 17.950 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 17.950 * [taylor]: Taking taylor expansion of 1.0 in k 17.950 * [backup-simplify]: Simplify 1.0 into 1.0 17.950 * [taylor]: Taking taylor expansion of (* (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 17.950 * [taylor]: Taking taylor expansion of (/ (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k)))) in k 17.950 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 17.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 17.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 17.950 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.950 * [taylor]: Taking taylor expansion of 0.5 in k 17.950 * [backup-simplify]: Simplify 0.5 into 0.5 17.950 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.950 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.950 * [taylor]: Taking taylor expansion of k in k 17.950 * [backup-simplify]: Simplify 0 into 0 17.950 * [backup-simplify]: Simplify 1 into 1 17.951 * [backup-simplify]: Simplify (/ 1 1) into 1 17.951 * [taylor]: Taking taylor expansion of 1.0 in k 17.951 * [backup-simplify]: Simplify 1.0 into 1.0 17.951 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 17.951 * [taylor]: Taking taylor expansion of (/ -1 n) in k 17.951 * [taylor]: Taking taylor expansion of -1 in k 17.951 * [backup-simplify]: Simplify -1 into -1 17.951 * [taylor]: Taking taylor expansion of n in k 17.951 * [backup-simplify]: Simplify n into n 17.951 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 17.951 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 17.951 * [backup-simplify]: Simplify (+ 1 0) into 1 17.951 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.951 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 17.952 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 17.952 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* 2.0 PI) (/ -0.5 k))) in k 17.952 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.952 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.952 * [taylor]: Taking taylor expansion of -1 in k 17.952 * [backup-simplify]: Simplify -1 into -1 17.952 * [taylor]: Taking taylor expansion of k in k 17.952 * [backup-simplify]: Simplify 0 into 0 17.952 * [backup-simplify]: Simplify 1 into 1 17.952 * [backup-simplify]: Simplify (/ -1 1) into -1 17.952 * [backup-simplify]: Simplify (sqrt 0) into 0 17.953 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.953 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (/ -0.5 k)) in k 17.953 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* 2.0 PI)))) in k 17.953 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* 2.0 PI))) in k 17.953 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 17.953 * [taylor]: Taking taylor expansion of -0.5 in k 17.953 * [backup-simplify]: Simplify -0.5 into -0.5 17.953 * [taylor]: Taking taylor expansion of k in k 17.953 * [backup-simplify]: Simplify 0 into 0 17.953 * [backup-simplify]: Simplify 1 into 1 17.954 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 17.954 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 17.954 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 17.954 * [taylor]: Taking taylor expansion of 2.0 in k 17.954 * [backup-simplify]: Simplify 2.0 into 2.0 17.954 * [taylor]: Taking taylor expansion of PI in k 17.954 * [backup-simplify]: Simplify PI into PI 17.954 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 17.955 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 17.956 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 17.956 * [backup-simplify]: Simplify (exp (* (/ -0.5 k) (log (* 2.0 PI)))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 17.957 * [backup-simplify]: Simplify (* 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into 0 17.959 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.961 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 17.961 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 17.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 17.961 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 17.961 * [taylor]: Taking taylor expansion of 0.5 in k 17.961 * [backup-simplify]: Simplify 0.5 into 0.5 17.961 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 17.961 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 17.961 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 17.961 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 17.961 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 17.961 * [taylor]: Taking taylor expansion of 1.0 in k 17.961 * [backup-simplify]: Simplify 1.0 into 1.0 17.961 * [taylor]: Taking taylor expansion of (log PI) in k 17.961 * [taylor]: Taking taylor expansion of PI in k 17.961 * [backup-simplify]: Simplify PI into PI 17.962 * [backup-simplify]: Simplify (log PI) into (log PI) 17.963 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 17.964 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 17.964 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 17.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 17.965 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 17.965 * [taylor]: Taking taylor expansion of 1.0 in k 17.965 * [backup-simplify]: Simplify 1.0 into 1.0 17.965 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.965 * [taylor]: Taking taylor expansion of 2.0 in k 17.965 * [backup-simplify]: Simplify 2.0 into 2.0 17.965 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.966 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 17.967 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 17.969 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 17.973 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 17.980 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 17.990 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.000 * [backup-simplify]: Simplify (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (pow (pow (pow (pow (pow (* (pow PI 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 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.004 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.005 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.005 * [taylor]: Taking taylor expansion of +nan.0 in n 18.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.005 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.005 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.005 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.005 * [taylor]: Taking taylor expansion of 0.5 in n 18.005 * [backup-simplify]: Simplify 0.5 into 0.5 18.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.005 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.005 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.005 * [taylor]: Taking taylor expansion of k in n 18.005 * [backup-simplify]: Simplify k into k 18.005 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.005 * [taylor]: Taking taylor expansion of 1.0 in n 18.005 * [backup-simplify]: Simplify 1.0 into 1.0 18.005 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.005 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.005 * [taylor]: Taking taylor expansion of -1 in n 18.005 * [backup-simplify]: Simplify -1 into -1 18.005 * [taylor]: Taking taylor expansion of n in n 18.005 * [backup-simplify]: Simplify 0 into 0 18.005 * [backup-simplify]: Simplify 1 into 1 18.006 * [backup-simplify]: Simplify (/ -1 1) into -1 18.006 * [backup-simplify]: Simplify (log -1) into (log -1) 18.006 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.007 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.008 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.009 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.009 * [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)))) 18.010 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.010 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.010 * [taylor]: Taking taylor expansion of -0.5 in n 18.010 * [backup-simplify]: Simplify -0.5 into -0.5 18.010 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.010 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.010 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.010 * [taylor]: Taking taylor expansion of 2.0 in n 18.010 * [backup-simplify]: Simplify 2.0 into 2.0 18.010 * [taylor]: Taking taylor expansion of PI in n 18.010 * [backup-simplify]: Simplify PI into PI 18.010 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.011 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.012 * [taylor]: Taking taylor expansion of k in n 18.012 * [backup-simplify]: Simplify k into k 18.013 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.014 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.015 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.025 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.025 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.025 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.025 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.026 * [taylor]: Taking taylor expansion of 0.5 in n 18.026 * [backup-simplify]: Simplify 0.5 into 0.5 18.026 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.026 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.026 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.026 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.026 * [taylor]: Taking taylor expansion of 1.0 in n 18.026 * [backup-simplify]: Simplify 1.0 into 1.0 18.026 * [taylor]: Taking taylor expansion of (log PI) in n 18.026 * [taylor]: Taking taylor expansion of PI in n 18.026 * [backup-simplify]: Simplify PI into PI 18.026 * [backup-simplify]: Simplify (log PI) into (log PI) 18.027 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.028 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.028 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.028 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.028 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.028 * [taylor]: Taking taylor expansion of 1.0 in n 18.028 * [backup-simplify]: Simplify 1.0 into 1.0 18.028 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.028 * [taylor]: Taking taylor expansion of 2.0 in n 18.028 * [backup-simplify]: Simplify 2.0 into 2.0 18.028 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.029 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.030 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.031 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.033 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.037 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.043 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.049 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 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)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.053 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.057 * [backup-simplify]: Simplify (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.059 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.060 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.061 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.064 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.065 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.066 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 18.069 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 18.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 18.074 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.079 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 18.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.086 * [backup-simplify]: Simplify (- (/ 0 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.096 * [backup-simplify]: Simplify (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 0) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.103 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* 0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.103 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 18.103 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.103 * [taylor]: Taking taylor expansion of +nan.0 in n 18.103 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.103 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.103 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.103 * [taylor]: Taking taylor expansion of 0.5 in n 18.104 * [backup-simplify]: Simplify 0.5 into 0.5 18.104 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.104 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.104 * [taylor]: Taking taylor expansion of k in n 18.104 * [backup-simplify]: Simplify k into k 18.104 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.104 * [taylor]: Taking taylor expansion of 1.0 in n 18.104 * [backup-simplify]: Simplify 1.0 into 1.0 18.104 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.104 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.104 * [taylor]: Taking taylor expansion of -1 in n 18.104 * [backup-simplify]: Simplify -1 into -1 18.104 * [taylor]: Taking taylor expansion of n in n 18.104 * [backup-simplify]: Simplify 0 into 0 18.104 * [backup-simplify]: Simplify 1 into 1 18.104 * [backup-simplify]: Simplify (/ -1 1) into -1 18.104 * [backup-simplify]: Simplify (log -1) into (log -1) 18.104 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.105 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.106 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.106 * [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)))) 18.106 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.106 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.106 * [taylor]: Taking taylor expansion of -0.5 in n 18.106 * [backup-simplify]: Simplify -0.5 into -0.5 18.106 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.106 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.106 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.106 * [taylor]: Taking taylor expansion of 2.0 in n 18.106 * [backup-simplify]: Simplify 2.0 into 2.0 18.106 * [taylor]: Taking taylor expansion of PI in n 18.106 * [backup-simplify]: Simplify PI into PI 18.107 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.107 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.107 * [taylor]: Taking taylor expansion of k in n 18.107 * [backup-simplify]: Simplify k into k 18.108 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.109 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.109 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.111 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.111 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.111 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.111 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.111 * [taylor]: Taking taylor expansion of 0.5 in n 18.111 * [backup-simplify]: Simplify 0.5 into 0.5 18.111 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.111 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.111 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.111 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.111 * [taylor]: Taking taylor expansion of 1.0 in n 18.111 * [backup-simplify]: Simplify 1.0 into 1.0 18.111 * [taylor]: Taking taylor expansion of (log PI) in n 18.111 * [taylor]: Taking taylor expansion of PI in n 18.111 * [backup-simplify]: Simplify PI into PI 18.111 * [backup-simplify]: Simplify (log PI) into (log PI) 18.112 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.113 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.113 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.113 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.113 * [taylor]: Taking taylor expansion of 1.0 in n 18.113 * [backup-simplify]: Simplify 1.0 into 1.0 18.113 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.113 * [taylor]: Taking taylor expansion of 2.0 in n 18.113 * [backup-simplify]: Simplify 2.0 into 2.0 18.113 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.114 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.115 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.116 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.118 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.122 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.128 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.135 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 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)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.150 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.155 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.160 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 18.163 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 18.164 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 18.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 18.166 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 18.167 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 18.168 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 18.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 1) into 0 18.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)))) into 0 18.172 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 18.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 18.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.174 * [backup-simplify]: Simplify (+ 0 0) into 0 18.175 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.175 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 18.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 18.176 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.177 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.179 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ (log (* 2.0 PI)) k) (/ 0 k)))) into 0 18.180 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (/ (log (* 2.0 PI)) k))) into 0 18.181 * [backup-simplify]: Simplify (* (exp (* -0.5 (/ (log (* 2.0 PI)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 18.184 * [backup-simplify]: Simplify (- (/ 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (+ (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (/ 0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.186 * [backup-simplify]: Simplify (+ (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 18.189 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into 0 18.189 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 18.192 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 18.193 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 18.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (log PI)))) into 0 18.198 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.198 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (+ (* 0 0) (* 0 (pow 2.0 1.0)))) into 0 18.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1)))) 2) into 0 18.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))))) into 0 18.209 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 18.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) into (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.226 * [backup-simplify]: Simplify (- (/ 0 (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (/ (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) (- (* +nan.0 (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 18.240 * [backup-simplify]: Simplify (+ (* (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 0) (+ (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) 0) (* (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.257 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (+ (* 0 (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) (* 0 (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))))))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.257 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in n 18.257 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in n 18.257 * [taylor]: Taking taylor expansion of +nan.0 in n 18.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 18.257 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in n 18.257 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) in n 18.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 18.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 18.257 * [taylor]: Taking taylor expansion of 0.5 in n 18.257 * [backup-simplify]: Simplify 0.5 into 0.5 18.257 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 18.257 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.257 * [taylor]: Taking taylor expansion of k in n 18.257 * [backup-simplify]: Simplify k into k 18.258 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.258 * [taylor]: Taking taylor expansion of 1.0 in n 18.258 * [backup-simplify]: Simplify 1.0 into 1.0 18.258 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 18.258 * [taylor]: Taking taylor expansion of (/ -1 n) in n 18.258 * [taylor]: Taking taylor expansion of -1 in n 18.258 * [backup-simplify]: Simplify -1 into -1 18.258 * [taylor]: Taking taylor expansion of n in n 18.258 * [backup-simplify]: Simplify 0 into 0 18.258 * [backup-simplify]: Simplify 1 into 1 18.258 * [backup-simplify]: Simplify (/ -1 1) into -1 18.259 * [backup-simplify]: Simplify (log -1) into (log -1) 18.259 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 18.260 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 18.261 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 18.261 * [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)))) 18.262 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* 2.0 PI)) k))) in n 18.262 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* 2.0 PI)) k)) in n 18.262 * [taylor]: Taking taylor expansion of -0.5 in n 18.262 * [backup-simplify]: Simplify -0.5 into -0.5 18.262 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 PI)) k) in n 18.262 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 18.262 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 18.262 * [taylor]: Taking taylor expansion of 2.0 in n 18.262 * [backup-simplify]: Simplify 2.0 into 2.0 18.262 * [taylor]: Taking taylor expansion of PI in n 18.262 * [backup-simplify]: Simplify PI into PI 18.262 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.264 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.264 * [taylor]: Taking taylor expansion of k in n 18.264 * [backup-simplify]: Simplify k into k 18.265 * [backup-simplify]: Simplify (/ (log (* 2.0 PI)) k) into (/ (log (* 2.0 PI)) k) 18.266 * [backup-simplify]: Simplify (* -0.5 (/ (log (* 2.0 PI)) k)) into (* -0.5 (/ (log (* 2.0 PI)) k)) 18.267 * [backup-simplify]: Simplify (exp (* -0.5 (/ (log (* 2.0 PI)) k))) into (exp (* -0.5 (/ (log (* 2.0 PI)) k))) 18.269 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) into (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) 18.269 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 18.269 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 18.269 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 18.269 * [taylor]: Taking taylor expansion of 0.5 in n 18.269 * [backup-simplify]: Simplify 0.5 into 0.5 18.269 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 18.269 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 18.269 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 18.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 18.269 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 18.269 * [taylor]: Taking taylor expansion of 1.0 in n 18.269 * [backup-simplify]: Simplify 1.0 into 1.0 18.269 * [taylor]: Taking taylor expansion of (log PI) in n 18.269 * [taylor]: Taking taylor expansion of PI in n 18.270 * [backup-simplify]: Simplify PI into PI 18.270 * [backup-simplify]: Simplify (log PI) into (log PI) 18.271 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 18.273 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 18.273 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 18.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 18.273 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 18.273 * [taylor]: Taking taylor expansion of 1.0 in n 18.273 * [backup-simplify]: Simplify 1.0 into 1.0 18.273 * [taylor]: Taking taylor expansion of (log 2.0) in n 18.273 * [taylor]: Taking taylor expansion of 2.0 in n 18.273 * [backup-simplify]: Simplify 2.0 into 2.0 18.273 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 18.274 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 18.276 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 18.277 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow 2.0 1.0)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 18.288 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0)) into (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0)) 18.292 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0))) 18.298 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (pow 2.0 1.0)) 1.0) 1.0) 1.0) 1.0) 0.5) 18.304 * [backup-simplify]: Simplify (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (pow (pow (pow (pow (* (pow PI 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)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k))))) 18.306 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))))) into (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 18.309 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.312 * [backup-simplify]: Simplify (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) into (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 18.329 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (/ (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* -0.5 (/ (log (* 2.0 PI)) (/ 1 (- k)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* k (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 18.329 * * * [progress]: simplifying candidates 18.337 * [simplify]: Simplifying: (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) 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) (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (exp (pow (* 2.0 PI) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* 2.0 PI)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log 2.0) (log PI)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* 2.0 PI)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* 2.0 PI) (/ 1.0 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(- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* k (log (* 2.0 PI))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* k (log (* 2.0 PI)))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 18.354 * * [simplify]: Extracting # 0 : cost 0 18.355 * * [simplify]: Extracting # 1 : cost 0 18.355 * * [simplify]: Extracting # 2 : cost 0 18.356 * * [simplify]: Extracting # 3 : cost 0 18.357 * * [simplify]: Extracting # 4 : cost 0 18.358 * * [simplify]: Extracting # 5 : cost 0 18.359 * * [simplify]: Extracting # 6 : cost 0 18.360 * * [simplify]: Extracting # 7 : cost 0 18.362 * * [simplify]: Extracting # 8 : cost 0 18.363 * * [simplify]: Extracting # 9 : cost 0 18.364 * * [simplify]: Extracting # 10 : cost 0 18.365 * * [simplify]: Extracting # 11 : cost 0 18.366 * * [simplify]: Extracting # 12 : cost 0 18.368 * * [simplify]: Extracting # 13 : cost 0 18.369 * * [simplify]: Extracting # 14 : cost 0 18.370 * * [simplify]: Extracting # 15 : cost 0 18.371 * * [simplify]: Extracting # 16 : cost 0 18.372 * * [simplify]: Extracting # 17 : cost 0 18.374 * * [simplify]: Extracting # 18 : cost 0 18.375 * * [simplify]: Extracting # 19 : cost 0 18.376 * * [simplify]: Extracting # 20 : cost 0 18.377 * * [simplify]: Extracting # 21 : cost 0 18.379 * * [simplify]: Extracting # 22 : cost 0 18.380 * * [simplify]: Extracting # 23 : cost 0 18.381 * * [simplify]: Extracting # 24 : cost 0 18.382 * * [simplify]: Extracting # 25 : cost 0 18.384 * * [simplify]: Extracting # 26 : cost 0 18.385 * * [simplify]: Extracting # 27 : cost 0 18.386 * * [simplify]: Extracting # 28 : cost 0 18.388 * * [simplify]: Extracting # 29 : cost 0 18.397 * * [simplify]: Extracting # 30 : cost 0 18.399 * * [simplify]: Extracting # 31 : cost 0 18.400 * * [simplify]: Extracting # 32 : cost 0 18.401 * * [simplify]: Extracting # 33 : cost 0 18.402 * * [simplify]: Extracting # 34 : cost 0 18.402 * * [simplify]: Extracting # 35 : cost 0 18.403 * * [simplify]: Extracting # 36 : cost 0 18.403 * * [simplify]: iteration 0 : 422 enodes (cost 6480 ) 18.568 * * [simplify]: Extracting # 0 : cost 0 18.571 * * [simplify]: Extracting # 1 : cost 0 18.574 * * [simplify]: Extracting # 2 : cost 0 18.578 * * [simplify]: Extracting # 3 : cost 0 18.581 * * [simplify]: Extracting # 4 : cost 0 18.584 * * [simplify]: Extracting # 5 : cost 0 18.587 * * [simplify]: Extracting # 6 : cost 0 18.590 * * [simplify]: iteration 1 : 1169 enodes (cost 5849 ) 19.394 * * [simplify]: Extracting # 0 : cost 0 19.400 * * [simplify]: Extracting # 1 : cost 0 19.407 * * [simplify]: Extracting # 2 : cost 0 19.413 * * [simplify]: Extracting # 3 : cost 0 19.419 * * [simplify]: Extracting # 4 : cost 0 19.428 * * [simplify]: Extracting # 5 : cost 0 19.434 * * [simplify]: Extracting # 6 : cost 0 19.439 * * [simplify]: iteration 2 : 4404 enodes (cost 5400 ) 21.506 * * [simplify]: Extracting # 0 : cost 0 21.512 * * [simplify]: Extracting # 1 : cost 0 21.519 * * [simplify]: Extracting # 2 : cost 0 21.530 * * [simplify]: Extracting # 3 : cost 0 21.537 * * [simplify]: Extracting # 4 : cost 0 21.543 * * [simplify]: iteration done: 5000 enodes (cost 5378 ) 21.545 * [simplify]: Simplified to: (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt 1.0) (cbrt 1.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt 1.0)) (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) (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (log (pow (* 2.0 PI) (/ 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PI 1.0) (pow 2.0 1.0)) 0.5) (- +nan.0 (* +nan.0 k))))))) (+ (* (/ (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow k 3)) (pow (* 2.0 PI) (* 0.5 k))) (- +nan.0)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (/ (pow (pow (* 2.0 PI) k) (- 0.5)) (pow k 2))) (* (/ (pow (pow (* 2.0 PI) k) (- 0.5)) k) +nan.0)))) (+ (* +nan.0 (- (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (* 2.0 PI) (* 0.5 k))))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (/ (pow (pow (* 2.0 PI) k) (- 0.5)) (pow k 2))) (* (/ (pow (pow (* 2.0 PI) k) (- 0.5)) 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)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) (+ (- (* (* (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (* 2.0 PI) (* 0.5 k))) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) k)) +nan.0)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* +nan.0 (/ (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (pow (* 2.0 PI) (* 0.5 k))) (pow k 2))) (* (/ (pow (pow (/ 1 n) (- 1.0 k)) -0.5) (* (pow k 3) (pow (* 2.0 PI) (* 0.5 k)))) +nan.0)))) (+ (* (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) k)) (- +nan.0)) (* +nan.0 (- (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow k 2))) (* (exp (* 0.5 (- (* (- 1.0 k) (- (log -1) (log (/ -1 n)))) (* k (log (* 2.0 PI)))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 21.547 * * * [progress]: adding candidates to table 22.208 * [progress]: [Phase 3 of 3] Extracting. 22.208 * * [regime]: Finding splitpoints for: (# # # # # #) 22.211 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 22.211 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 22.270 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 22.291 * * * * [regimes]: Trying to branch on n from (# # # # # #) 22.342 * * * * [regimes]: Trying to branch on k from (# # # # # #) 22.375 * * * [regime]: Found split indices: #