43.844 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.159 * * * [progress]: [2/2] Setting up program. 0.164 * [progress]: [Phase 2 of 3] Improving. 0.164 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: Extracting # 1 : cost 0 0.164 * * [simplify]: Extracting # 2 : cost 0 0.164 * * [simplify]: Extracting # 3 : cost 0 0.165 * * [simplify]: Extracting # 4 : cost 0 0.165 * * [simplify]: Extracting # 5 : cost 0 0.165 * * [simplify]: Extracting # 6 : cost 0 0.165 * * [simplify]: Extracting # 7 : cost 0 0.165 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.171 * * [simplify]: Extracting # 0 : cost 0 0.171 * * [simplify]: Extracting # 1 : cost 0 0.171 * * [simplify]: Extracting # 2 : cost 0 0.171 * * [simplify]: Extracting # 3 : cost 0 0.171 * * [simplify]: Extracting # 4 : cost 0 0.171 * * [simplify]: Extracting # 5 : cost 0 0.171 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.184 * * [simplify]: Extracting # 1 : cost 0 0.184 * * [simplify]: Extracting # 2 : cost 0 0.184 * * [simplify]: Extracting # 3 : cost 0 0.184 * * [simplify]: Extracting # 4 : cost 0 0.184 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.204 * * [simplify]: Extracting # 0 : cost 0 0.204 * * [simplify]: Extracting # 1 : cost 0 0.204 * * [simplify]: Extracting # 2 : cost 0 0.204 * * [simplify]: Extracting # 3 : cost 0 0.204 * * [simplify]: Extracting # 4 : cost 0 0.204 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.236 * * [simplify]: Extracting # 0 : cost 0 0.237 * * [simplify]: Extracting # 1 : cost 0 0.237 * * [simplify]: Extracting # 2 : cost 0 0.238 * * [simplify]: Extracting # 3 : cost 0 0.238 * * [simplify]: Extracting # 4 : cost 0 0.239 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.428 * * [simplify]: Extracting # 0 : cost 0 0.429 * * [simplify]: Extracting # 1 : cost 0 0.429 * * [simplify]: Extracting # 2 : cost 0 0.430 * * [simplify]: Extracting # 3 : cost 0 0.432 * * [simplify]: Extracting # 4 : cost 0 0.433 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 1.965 * * [simplify]: Extracting # 0 : cost 0 1.972 * * [simplify]: Extracting # 1 : cost 0 1.978 * * [simplify]: Extracting # 2 : cost 0 1.983 * * [simplify]: Extracting # 3 : cost 0 1.988 * * [simplify]: Extracting # 4 : cost 0 1.999 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 3.742 * * [simplify]: Extracting # 0 : cost 0 3.749 * * [simplify]: Extracting # 1 : cost 0 3.757 * * [simplify]: Extracting # 2 : cost 0 3.763 * * [simplify]: Extracting # 3 : cost 0 3.768 * * [simplify]: Extracting # 4 : cost 0 3.773 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 3.773 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.774 * * [progress]: iteration 1 / 4 3.774 * * * [progress]: picking best candidate 3.776 * * * * [pick]: Picked # 3.776 * * * [progress]: localizing error 3.806 * * * [progress]: generating rewritten candidates 3.807 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.838 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.844 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.880 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.942 * * * [progress]: generating series expansions 3.942 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.943 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.943 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.943 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.943 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.943 * [taylor]: Taking taylor expansion of 0.5 in k 3.943 * [backup-simplify]: Simplify 0.5 into 0.5 3.943 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.943 * [taylor]: Taking taylor expansion of 1.0 in k 3.943 * [backup-simplify]: Simplify 1.0 into 1.0 3.943 * [taylor]: Taking taylor expansion of k in k 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.943 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.943 * [taylor]: Taking taylor expansion of 2.0 in k 3.943 * [backup-simplify]: Simplify 2.0 into 2.0 3.943 * [taylor]: Taking taylor expansion of (* n PI) in k 3.943 * [taylor]: Taking taylor expansion of n in k 3.943 * [backup-simplify]: Simplify n into n 3.943 * [taylor]: Taking taylor expansion of PI in k 3.943 * [backup-simplify]: Simplify PI into PI 3.943 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.943 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.944 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.944 * [backup-simplify]: Simplify (- 0) into 0 3.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.944 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.945 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.945 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.945 * [taylor]: Taking taylor expansion of 0.5 in n 3.945 * [backup-simplify]: Simplify 0.5 into 0.5 3.945 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.945 * [taylor]: Taking taylor expansion of 1.0 in n 3.945 * [backup-simplify]: Simplify 1.0 into 1.0 3.945 * [taylor]: Taking taylor expansion of k in n 3.945 * [backup-simplify]: Simplify k into k 3.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.945 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.945 * [taylor]: Taking taylor expansion of 2.0 in n 3.945 * [backup-simplify]: Simplify 2.0 into 2.0 3.945 * [taylor]: Taking taylor expansion of (* n PI) in n 3.945 * [taylor]: Taking taylor expansion of n in n 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [taylor]: Taking taylor expansion of PI in n 3.945 * [backup-simplify]: Simplify PI into PI 3.945 * [backup-simplify]: Simplify (* 0 PI) into 0 3.946 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.948 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.948 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.948 * [backup-simplify]: Simplify (- k) into (- k) 3.949 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.949 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.949 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.950 * [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)))) 3.951 * [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))))) 3.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.951 * [taylor]: Taking taylor expansion of 0.5 in n 3.951 * [backup-simplify]: Simplify 0.5 into 0.5 3.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.951 * [taylor]: Taking taylor expansion of 1.0 in n 3.951 * [backup-simplify]: Simplify 1.0 into 1.0 3.951 * [taylor]: Taking taylor expansion of k in n 3.951 * [backup-simplify]: Simplify k into k 3.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.951 * [taylor]: Taking taylor expansion of 2.0 in n 3.951 * [backup-simplify]: Simplify 2.0 into 2.0 3.951 * [taylor]: Taking taylor expansion of (* n PI) in n 3.951 * [taylor]: Taking taylor expansion of n in n 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [taylor]: Taking taylor expansion of PI in n 3.951 * [backup-simplify]: Simplify PI into PI 3.952 * [backup-simplify]: Simplify (* 0 PI) into 0 3.952 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.953 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.954 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.955 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.955 * [backup-simplify]: Simplify (- k) into (- k) 3.955 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.955 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.956 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.957 * [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)))) 3.958 * [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))))) 3.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.958 * [taylor]: Taking taylor expansion of 0.5 in k 3.958 * [backup-simplify]: Simplify 0.5 into 0.5 3.958 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.958 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.958 * [taylor]: Taking taylor expansion of 1.0 in k 3.958 * [backup-simplify]: Simplify 1.0 into 1.0 3.958 * [taylor]: Taking taylor expansion of k in k 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.958 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.958 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.958 * [taylor]: Taking taylor expansion of 2.0 in k 3.958 * [backup-simplify]: Simplify 2.0 into 2.0 3.958 * [taylor]: Taking taylor expansion of PI in k 3.958 * [backup-simplify]: Simplify PI into PI 3.958 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.959 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.959 * [taylor]: Taking taylor expansion of (log n) in k 3.959 * [taylor]: Taking taylor expansion of n in k 3.959 * [backup-simplify]: Simplify n into n 3.959 * [backup-simplify]: Simplify (log n) into (log n) 3.959 * [backup-simplify]: Simplify (- 0) into 0 3.960 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.960 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.961 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.962 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.963 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.963 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.964 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.966 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.966 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ 0 0) into 0 3.967 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.969 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.970 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.970 * [taylor]: Taking taylor expansion of 0 in k 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.972 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify (- 1) into -1 3.973 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.974 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.976 * [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)))) 3.978 * [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)))))) 3.979 * [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)))))) 3.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.985 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.987 * [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 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.987 * [backup-simplify]: Simplify (+ 0 0) into 0 3.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.989 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.990 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.992 * [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 3.992 * [taylor]: Taking taylor expansion of 0 in k 3.992 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.997 * [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 3.999 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.000 * [backup-simplify]: Simplify (- 0) into 0 4.001 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.010 * [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)))))) 4.016 * [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)))))) 4.026 * [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)))))) 4.027 * [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)))) 4.027 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.027 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.028 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.028 * [taylor]: Taking taylor expansion of 0.5 in k 4.028 * [backup-simplify]: Simplify 0.5 into 0.5 4.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.028 * [taylor]: Taking taylor expansion of 1.0 in k 4.028 * [backup-simplify]: Simplify 1.0 into 1.0 4.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.028 * [taylor]: Taking taylor expansion of k in k 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (/ 1 1) into 1 4.028 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.028 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.028 * [taylor]: Taking taylor expansion of 2.0 in k 4.028 * [backup-simplify]: Simplify 2.0 into 2.0 4.029 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.029 * [taylor]: Taking taylor expansion of PI in k 4.029 * [backup-simplify]: Simplify PI into PI 4.029 * [taylor]: Taking taylor expansion of n in k 4.029 * [backup-simplify]: Simplify n into n 4.029 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.029 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.029 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.029 * [backup-simplify]: Simplify (- 1) into -1 4.030 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.030 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.030 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.031 * [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))))) 4.031 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.031 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.031 * [taylor]: Taking taylor expansion of 0.5 in n 4.031 * [backup-simplify]: Simplify 0.5 into 0.5 4.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.031 * [taylor]: Taking taylor expansion of 1.0 in n 4.031 * [backup-simplify]: Simplify 1.0 into 1.0 4.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.031 * [taylor]: Taking taylor expansion of k in n 4.031 * [backup-simplify]: Simplify k into k 4.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.031 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.031 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.031 * [taylor]: Taking taylor expansion of 2.0 in n 4.031 * [backup-simplify]: Simplify 2.0 into 2.0 4.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.031 * [taylor]: Taking taylor expansion of PI in n 4.031 * [backup-simplify]: Simplify PI into PI 4.032 * [taylor]: Taking taylor expansion of n in n 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (/ PI 1) into PI 4.033 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.034 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.034 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.034 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.034 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.037 * [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)))) 4.039 * [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))))) 4.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.039 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.039 * [taylor]: Taking taylor expansion of 0.5 in n 4.039 * [backup-simplify]: Simplify 0.5 into 0.5 4.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.039 * [taylor]: Taking taylor expansion of 1.0 in n 4.039 * [backup-simplify]: Simplify 1.0 into 1.0 4.039 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.039 * [taylor]: Taking taylor expansion of k in n 4.039 * [backup-simplify]: Simplify k into k 4.039 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.039 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.039 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.039 * [taylor]: Taking taylor expansion of 2.0 in n 4.039 * [backup-simplify]: Simplify 2.0 into 2.0 4.039 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.039 * [taylor]: Taking taylor expansion of PI in n 4.039 * [backup-simplify]: Simplify PI into PI 4.039 * [taylor]: Taking taylor expansion of n in n 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.039 * [backup-simplify]: Simplify (/ PI 1) into PI 4.040 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.040 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.040 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.041 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.041 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.042 * [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)))) 4.043 * [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))))) 4.043 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.043 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.043 * [taylor]: Taking taylor expansion of 0.5 in k 4.043 * [backup-simplify]: Simplify 0.5 into 0.5 4.043 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.043 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.043 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.043 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.043 * [taylor]: Taking taylor expansion of 2.0 in k 4.043 * [backup-simplify]: Simplify 2.0 into 2.0 4.043 * [taylor]: Taking taylor expansion of PI in k 4.043 * [backup-simplify]: Simplify PI into PI 4.044 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.044 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.044 * [taylor]: Taking taylor expansion of (log n) in k 4.044 * [taylor]: Taking taylor expansion of n in k 4.044 * [backup-simplify]: Simplify n into n 4.045 * [backup-simplify]: Simplify (log n) into (log n) 4.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.045 * [taylor]: Taking taylor expansion of 1.0 in k 4.045 * [backup-simplify]: Simplify 1.0 into 1.0 4.045 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.045 * [taylor]: Taking taylor expansion of k in k 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.045 * [backup-simplify]: Simplify (/ 1 1) into 1 4.045 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.046 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.046 * [backup-simplify]: Simplify (- 1) into -1 4.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.047 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.048 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.048 * [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))))) 4.049 * [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))))) 4.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.051 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.052 * [backup-simplify]: Simplify (- 0) into 0 4.052 * [backup-simplify]: Simplify (+ 0 0) into 0 4.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.054 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.055 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.055 * [taylor]: Taking taylor expansion of 0 in k 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.059 * [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 4.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.059 * [backup-simplify]: Simplify (- 0) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.062 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.064 * [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 4.064 * [taylor]: Taking taylor expansion of 0 in k 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.070 * [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 4.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.071 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.076 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.079 * [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 4.079 * [taylor]: Taking taylor expansion of 0 in k 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.081 * [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)))) 4.082 * [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))) 4.082 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.082 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.082 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.082 * [taylor]: Taking taylor expansion of 0.5 in k 4.082 * [backup-simplify]: Simplify 0.5 into 0.5 4.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.082 * [taylor]: Taking taylor expansion of k in k 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.083 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [taylor]: Taking taylor expansion of 1.0 in k 4.083 * [backup-simplify]: Simplify 1.0 into 1.0 4.083 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.083 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.083 * [taylor]: Taking taylor expansion of -2.0 in k 4.083 * [backup-simplify]: Simplify -2.0 into -2.0 4.083 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.083 * [taylor]: Taking taylor expansion of PI in k 4.083 * [backup-simplify]: Simplify PI into PI 4.083 * [taylor]: Taking taylor expansion of n in k 4.083 * [backup-simplify]: Simplify n into n 4.083 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.083 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.083 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.084 * [backup-simplify]: Simplify (+ 1 0) into 1 4.084 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.084 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.085 * [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)))))) 4.085 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.085 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.085 * [taylor]: Taking taylor expansion of 0.5 in n 4.085 * [backup-simplify]: Simplify 0.5 into 0.5 4.085 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.085 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.085 * [taylor]: Taking taylor expansion of k in n 4.085 * [backup-simplify]: Simplify k into k 4.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.085 * [taylor]: Taking taylor expansion of 1.0 in n 4.085 * [backup-simplify]: Simplify 1.0 into 1.0 4.085 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.085 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.085 * [taylor]: Taking taylor expansion of -2.0 in n 4.085 * [backup-simplify]: Simplify -2.0 into -2.0 4.085 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.085 * [taylor]: Taking taylor expansion of PI in n 4.085 * [backup-simplify]: Simplify PI into PI 4.085 * [taylor]: Taking taylor expansion of n in n 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.086 * [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) 1.0) into (+ (/ 1 k) 1.0) 4.088 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.091 * [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)))) 4.093 * [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))))) 4.093 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.093 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.093 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.093 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.093 * [taylor]: Taking taylor expansion of 0.5 in n 4.093 * [backup-simplify]: Simplify 0.5 into 0.5 4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.093 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.093 * [taylor]: Taking taylor expansion of k in n 4.093 * [backup-simplify]: Simplify k into k 4.093 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.093 * [taylor]: Taking taylor expansion of 1.0 in n 4.093 * [backup-simplify]: Simplify 1.0 into 1.0 4.093 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.093 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.093 * [taylor]: Taking taylor expansion of -2.0 in n 4.093 * [backup-simplify]: Simplify -2.0 into -2.0 4.093 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.093 * [taylor]: Taking taylor expansion of PI in n 4.093 * [backup-simplify]: Simplify PI into PI 4.093 * [taylor]: Taking taylor expansion of n in n 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (/ PI 1) into PI 4.094 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.096 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.096 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.096 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.099 * [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)))) 4.100 * [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))))) 4.100 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.100 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.100 * [taylor]: Taking taylor expansion of 0.5 in k 4.100 * [backup-simplify]: Simplify 0.5 into 0.5 4.100 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.100 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.100 * [taylor]: Taking taylor expansion of k in k 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (/ 1 1) into 1 4.101 * [taylor]: Taking taylor expansion of 1.0 in k 4.101 * [backup-simplify]: Simplify 1.0 into 1.0 4.101 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.101 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.101 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.101 * [taylor]: Taking taylor expansion of -2.0 in k 4.101 * [backup-simplify]: Simplify -2.0 into -2.0 4.101 * [taylor]: Taking taylor expansion of PI in k 4.101 * [backup-simplify]: Simplify PI into PI 4.102 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.103 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.103 * [taylor]: Taking taylor expansion of (log n) in k 4.103 * [taylor]: Taking taylor expansion of n in k 4.103 * [backup-simplify]: Simplify n into n 4.103 * [backup-simplify]: Simplify (log n) into (log n) 4.103 * [backup-simplify]: Simplify (+ 1 0) into 1 4.103 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.105 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.106 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.107 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.108 * [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))))) 4.110 * [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))))) 4.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.113 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.114 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.122 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.124 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.124 * [taylor]: Taking taylor expansion of 0 in k 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.128 * [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 4.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.131 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.133 * [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 4.133 * [taylor]: Taking taylor expansion of 0 in k 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.137 * [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 4.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.138 * [backup-simplify]: Simplify (+ 0 0) into 0 4.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.141 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.143 * [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 4.143 * [taylor]: Taking taylor expansion of 0 in k 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.144 * [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)))))) 4.144 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.144 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.144 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.144 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.144 * [taylor]: Taking taylor expansion of 1.0 in k 4.144 * [backup-simplify]: Simplify 1.0 into 1.0 4.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.144 * [taylor]: Taking taylor expansion of k in k 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ 1 1) into 1 4.145 * [backup-simplify]: Simplify (sqrt 0) into 0 4.146 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.146 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 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 (sqrt (/ 1 k)) in k 4.146 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.146 * [taylor]: Taking taylor expansion of k in k 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [backup-simplify]: Simplify (sqrt 0) into 0 4.148 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.148 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.150 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.154 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.154 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.161 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.161 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.163 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.163 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.163 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.163 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.163 * [taylor]: Taking taylor expansion of 1.0 in k 4.163 * [backup-simplify]: Simplify 1.0 into 1.0 4.163 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.163 * [taylor]: Taking taylor expansion of k in k 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 1 into 1 4.163 * [backup-simplify]: Simplify (sqrt 0) into 0 4.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.165 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.165 * [taylor]: Taking taylor expansion of 1.0 in k 4.165 * [backup-simplify]: Simplify 1.0 into 1.0 4.165 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.165 * [taylor]: Taking taylor expansion of k in k 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (sqrt 0) into 0 4.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.167 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.172 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.174 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.174 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.180 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.181 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.182 * [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)))))))) 4.183 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.183 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.183 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.183 * [taylor]: Taking taylor expansion of 1.0 in k 4.183 * [backup-simplify]: Simplify 1.0 into 1.0 4.183 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.183 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.183 * [taylor]: Taking taylor expansion of -1 in k 4.183 * [backup-simplify]: Simplify -1 into -1 4.183 * [taylor]: Taking taylor expansion of k in k 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 1 into 1 4.183 * [backup-simplify]: Simplify (/ -1 1) into -1 4.184 * [backup-simplify]: Simplify (sqrt 0) into 0 4.185 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.185 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.185 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.186 * [taylor]: Taking taylor expansion of 1.0 in k 4.186 * [backup-simplify]: Simplify 1.0 into 1.0 4.186 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.186 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.186 * [taylor]: Taking taylor expansion of -1 in k 4.186 * [backup-simplify]: Simplify -1 into -1 4.186 * [taylor]: Taking taylor expansion of k in k 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 1 into 1 4.186 * [backup-simplify]: Simplify (/ -1 1) into -1 4.187 * [backup-simplify]: Simplify (sqrt 0) into 0 4.188 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.189 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.193 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.195 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.196 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.204 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.206 * [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))))) 4.206 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 4.207 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.207 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.207 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [backup-simplify]: Simplify 2.0 into 2.0 4.207 * [taylor]: Taking taylor expansion of (* n PI) in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of PI in n 4.207 * [backup-simplify]: Simplify PI into PI 4.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.207 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [backup-simplify]: Simplify 2.0 into 2.0 4.207 * [taylor]: Taking taylor expansion of (* n PI) in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of PI in n 4.207 * [backup-simplify]: Simplify PI into PI 4.208 * [backup-simplify]: Simplify (* 0 PI) into 0 4.208 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.211 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.212 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.216 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.219 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 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 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 PI))))))) into 0 4.225 * [backup-simplify]: Simplify (+ (* 2.0 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.229 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.231 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.231 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.231 * [taylor]: Taking taylor expansion of 2.0 in n 4.231 * [backup-simplify]: Simplify 2.0 into 2.0 4.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.231 * [taylor]: Taking taylor expansion of PI in n 4.231 * [backup-simplify]: Simplify PI into PI 4.231 * [taylor]: Taking taylor expansion of n in n 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ PI 1) into PI 4.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.231 * [taylor]: Taking taylor expansion of 2.0 in n 4.232 * [backup-simplify]: Simplify 2.0 into 2.0 4.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.232 * [taylor]: Taking taylor expansion of PI in n 4.232 * [backup-simplify]: Simplify PI into PI 4.232 * [taylor]: Taking taylor expansion of n in n 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ PI 1) into PI 4.233 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.233 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ (* 2.0 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)))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 2.0 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)))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.239 * [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)))) into 0 4.242 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.244 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.245 * [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 4.247 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.247 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.254 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.254 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.254 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.254 * [taylor]: Taking taylor expansion of -2.0 in n 4.254 * [backup-simplify]: Simplify -2.0 into -2.0 4.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.254 * [taylor]: Taking taylor expansion of PI in n 4.254 * [backup-simplify]: Simplify PI into PI 4.254 * [taylor]: Taking taylor expansion of n in n 4.254 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.255 * [backup-simplify]: Simplify (/ PI 1) into PI 4.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.255 * [taylor]: Taking taylor expansion of -2.0 in n 4.255 * [backup-simplify]: Simplify -2.0 into -2.0 4.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.255 * [taylor]: Taking taylor expansion of PI in n 4.255 * [backup-simplify]: Simplify PI into PI 4.255 * [taylor]: Taking taylor expansion of n in n 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 1 into 1 4.256 * [backup-simplify]: Simplify (/ PI 1) into PI 4.257 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.257 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.259 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (+ (* -2.0 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)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.263 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.266 * [backup-simplify]: Simplify 0 into 0 4.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.268 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.268 * [backup-simplify]: Simplify 0 into 0 4.270 * [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 4.271 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.272 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.273 * [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))))) 4.273 * [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 4.273 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.273 * [taylor]: Taking taylor expansion of 1.0 in n 4.273 * [backup-simplify]: Simplify 1.0 into 1.0 4.273 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.273 * [taylor]: Taking taylor expansion of k in n 4.273 * [backup-simplify]: Simplify k into k 4.273 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.273 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.274 * [taylor]: Taking taylor expansion of 0.5 in n 4.274 * [backup-simplify]: Simplify 0.5 into 0.5 4.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.274 * [taylor]: Taking taylor expansion of 1.0 in n 4.274 * [backup-simplify]: Simplify 1.0 into 1.0 4.274 * [taylor]: Taking taylor expansion of k in n 4.274 * [backup-simplify]: Simplify k into k 4.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.274 * [taylor]: Taking taylor expansion of 2.0 in n 4.274 * [backup-simplify]: Simplify 2.0 into 2.0 4.274 * [taylor]: Taking taylor expansion of (* n PI) in n 4.274 * [taylor]: Taking taylor expansion of n in n 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of PI in n 4.274 * [backup-simplify]: Simplify PI into PI 4.275 * [backup-simplify]: Simplify (* 0 PI) into 0 4.275 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.277 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.278 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.279 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.279 * [backup-simplify]: Simplify (- k) into (- k) 4.279 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.280 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.282 * [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)))) 4.283 * [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))))) 4.283 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.284 * [taylor]: Taking taylor expansion of 1.0 in k 4.284 * [backup-simplify]: Simplify 1.0 into 1.0 4.284 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.284 * [taylor]: Taking taylor expansion of k in k 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.284 * [backup-simplify]: Simplify (sqrt 0) into 0 4.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.286 * [taylor]: Taking taylor expansion of 0.5 in k 4.286 * [backup-simplify]: Simplify 0.5 into 0.5 4.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.286 * [taylor]: Taking taylor expansion of 1.0 in k 4.286 * [backup-simplify]: Simplify 1.0 into 1.0 4.286 * [taylor]: Taking taylor expansion of k in k 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.286 * [taylor]: Taking taylor expansion of 2.0 in k 4.286 * [backup-simplify]: Simplify 2.0 into 2.0 4.286 * [taylor]: Taking taylor expansion of (* n PI) in k 4.287 * [taylor]: Taking taylor expansion of n in k 4.287 * [backup-simplify]: Simplify n into n 4.287 * [taylor]: Taking taylor expansion of PI in k 4.287 * [backup-simplify]: Simplify PI into PI 4.287 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.287 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.287 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.287 * [backup-simplify]: Simplify (- 0) into 0 4.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.288 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.289 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.289 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.289 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.289 * [taylor]: Taking taylor expansion of 1.0 in k 4.289 * [backup-simplify]: Simplify 1.0 into 1.0 4.289 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.289 * [taylor]: Taking taylor expansion of k in k 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ 1 1) into 1 4.290 * [backup-simplify]: Simplify (sqrt 0) into 0 4.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.291 * [taylor]: Taking taylor expansion of 0.5 in k 4.291 * [backup-simplify]: Simplify 0.5 into 0.5 4.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.291 * [taylor]: Taking taylor expansion of 1.0 in k 4.291 * [backup-simplify]: Simplify 1.0 into 1.0 4.292 * [taylor]: Taking taylor expansion of k in k 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.292 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.292 * [taylor]: Taking taylor expansion of 2.0 in k 4.292 * [backup-simplify]: Simplify 2.0 into 2.0 4.292 * [taylor]: Taking taylor expansion of (* n PI) in k 4.292 * [taylor]: Taking taylor expansion of n in k 4.292 * [backup-simplify]: Simplify n into n 4.292 * [taylor]: Taking taylor expansion of PI in k 4.292 * [backup-simplify]: Simplify PI into PI 4.292 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.292 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.292 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.292 * [backup-simplify]: Simplify (- 0) into 0 4.293 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.293 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.294 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.294 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.294 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.294 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.294 * [taylor]: Taking taylor expansion of 0 in n 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.296 * [backup-simplify]: Simplify (- 1) into -1 4.296 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.297 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.298 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.298 * [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))) 4.299 * [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))) 4.301 * [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))) 4.301 * [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 4.301 * [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 4.301 * [taylor]: Taking taylor expansion of +nan.0 in n 4.301 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.301 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.301 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.301 * [taylor]: Taking taylor expansion of 0.5 in n 4.301 * [backup-simplify]: Simplify 0.5 into 0.5 4.301 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.301 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.301 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.301 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.301 * [taylor]: Taking taylor expansion of 1.0 in n 4.301 * [backup-simplify]: Simplify 1.0 into 1.0 4.301 * [taylor]: Taking taylor expansion of (log PI) in n 4.301 * [taylor]: Taking taylor expansion of PI in n 4.301 * [backup-simplify]: Simplify PI into PI 4.301 * [backup-simplify]: Simplify (log PI) into (log PI) 4.302 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.303 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.303 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.303 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.303 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.303 * [taylor]: Taking taylor expansion of 1.0 in n 4.303 * [backup-simplify]: Simplify 1.0 into 1.0 4.303 * [taylor]: Taking taylor expansion of (log n) in n 4.303 * [taylor]: Taking taylor expansion of n in n 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (log 1) into 0 4.304 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.304 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.304 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.304 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.304 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.304 * [taylor]: Taking taylor expansion of 1.0 in n 4.304 * [backup-simplify]: Simplify 1.0 into 1.0 4.304 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.304 * [taylor]: Taking taylor expansion of 2.0 in n 4.304 * [backup-simplify]: Simplify 2.0 into 2.0 4.304 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.305 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.306 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.306 * [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) 4.307 * [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) 4.308 * [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)) 4.308 * [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))) 4.309 * [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) 4.310 * [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)) 4.311 * [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))) 4.312 * [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))) 4.312 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.314 * [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 4.315 * [backup-simplify]: Simplify (- 0) into 0 4.315 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.317 * [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))) 4.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.321 * [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)))))))) 4.324 * [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)))))))) 4.324 * [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 4.325 * [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 4.325 * [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 4.325 * [taylor]: Taking taylor expansion of +nan.0 in n 4.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.325 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.325 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.325 * [taylor]: Taking taylor expansion of 0.5 in n 4.325 * [backup-simplify]: Simplify 0.5 into 0.5 4.325 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.325 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.325 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.325 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.325 * [taylor]: Taking taylor expansion of 1.0 in n 4.325 * [backup-simplify]: Simplify 1.0 into 1.0 4.325 * [taylor]: Taking taylor expansion of (log PI) in n 4.325 * [taylor]: Taking taylor expansion of PI in n 4.325 * [backup-simplify]: Simplify PI into PI 4.325 * [backup-simplify]: Simplify (log PI) into (log PI) 4.326 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.327 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.327 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.327 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.327 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.328 * [taylor]: Taking taylor expansion of 1.0 in n 4.328 * [backup-simplify]: Simplify 1.0 into 1.0 4.328 * [taylor]: Taking taylor expansion of (log n) in n 4.328 * [taylor]: Taking taylor expansion of n in n 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (log 1) into 0 4.329 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.329 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.329 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.329 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.329 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.329 * [taylor]: Taking taylor expansion of 1.0 in n 4.329 * [backup-simplify]: Simplify 1.0 into 1.0 4.329 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.329 * [taylor]: Taking taylor expansion of 2.0 in n 4.329 * [backup-simplify]: Simplify 2.0 into 2.0 4.329 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.330 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.332 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.333 * [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) 4.334 * [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) 4.335 * [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)) 4.337 * [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))) 4.339 * [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) 4.339 * [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 4.339 * [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 4.339 * [taylor]: Taking taylor expansion of +nan.0 in n 4.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.339 * [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 4.339 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.339 * [taylor]: Taking taylor expansion of 0.5 in n 4.339 * [backup-simplify]: Simplify 0.5 into 0.5 4.339 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.339 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.339 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.339 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.339 * [taylor]: Taking taylor expansion of 1.0 in n 4.339 * [backup-simplify]: Simplify 1.0 into 1.0 4.339 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.339 * [taylor]: Taking taylor expansion of 2.0 in n 4.339 * [backup-simplify]: Simplify 2.0 into 2.0 4.340 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.341 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.342 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.342 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.343 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.343 * [taylor]: Taking taylor expansion of 1.0 in n 4.343 * [backup-simplify]: Simplify 1.0 into 1.0 4.343 * [taylor]: Taking taylor expansion of (log PI) in n 4.343 * [taylor]: Taking taylor expansion of PI in n 4.343 * [backup-simplify]: Simplify PI into PI 4.343 * [backup-simplify]: Simplify (log PI) into (log PI) 4.344 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.346 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.346 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.346 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.346 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) 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 n) in n 4.346 * [taylor]: Taking taylor expansion of n in n 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (log 1) into 0 4.347 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.347 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.347 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.348 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.349 * [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) 4.351 * [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)) 4.352 * [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))) 4.354 * [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) 4.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.354 * [taylor]: Taking taylor expansion of 2.0 in n 4.354 * [backup-simplify]: Simplify 2.0 into 2.0 4.354 * [taylor]: Taking taylor expansion of (* n PI) in n 4.354 * [taylor]: Taking taylor expansion of n in n 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 1 into 1 4.354 * [taylor]: Taking taylor expansion of PI in n 4.354 * [backup-simplify]: Simplify PI into PI 4.355 * [backup-simplify]: Simplify (* 0 PI) into 0 4.355 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.358 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.359 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.361 * [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 (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.366 * [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)) 4.368 * [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))) 4.371 * [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)))))) 4.377 * [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)))))))) 4.384 * [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)))))))) 4.396 * [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)))))))) 4.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.399 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.400 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.402 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.402 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.403 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.403 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.404 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.405 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.406 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.407 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.408 * [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 4.410 * [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 4.411 * [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 4.412 * [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 4.412 * [backup-simplify]: Simplify (- 0) into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.416 * [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 4.416 * [backup-simplify]: Simplify (- 0) into 0 4.416 * [backup-simplify]: Simplify (+ 0 0) into 0 4.417 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.419 * [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))) 4.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.425 * [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)))))))) 4.433 * [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)))))))) 4.433 * [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 4.433 * [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 4.433 * [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 4.433 * [taylor]: Taking taylor expansion of +nan.0 in n 4.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.433 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.433 * [taylor]: Taking taylor expansion of 0.5 in n 4.433 * [backup-simplify]: Simplify 0.5 into 0.5 4.433 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.434 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.434 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.434 * [taylor]: Taking taylor expansion of 1.0 in n 4.434 * [backup-simplify]: Simplify 1.0 into 1.0 4.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.434 * [taylor]: Taking taylor expansion of 2.0 in n 4.434 * [backup-simplify]: Simplify 2.0 into 2.0 4.434 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.435 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.437 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.437 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.437 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.437 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.437 * [taylor]: Taking taylor expansion of 1.0 in n 4.437 * [backup-simplify]: Simplify 1.0 into 1.0 4.437 * [taylor]: Taking taylor expansion of (log n) in n 4.437 * [taylor]: Taking taylor expansion of n in n 4.437 * [backup-simplify]: Simplify 0 into 0 4.437 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (log 1) into 0 4.438 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.438 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.438 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.438 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.438 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.438 * [taylor]: Taking taylor expansion of 1.0 in n 4.438 * [backup-simplify]: Simplify 1.0 into 1.0 4.438 * [taylor]: Taking taylor expansion of (log PI) in n 4.438 * [taylor]: Taking taylor expansion of PI in n 4.438 * [backup-simplify]: Simplify PI into PI 4.439 * [backup-simplify]: Simplify (log PI) into (log PI) 4.440 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.442 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.443 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.444 * [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) 4.446 * [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)) 4.447 * [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))) 4.449 * [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) 4.449 * [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 4.449 * [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 4.449 * [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 4.449 * [taylor]: Taking taylor expansion of +nan.0 in n 4.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.449 * [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 4.449 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.450 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.450 * [taylor]: Taking taylor expansion of 0.5 in n 4.450 * [backup-simplify]: Simplify 0.5 into 0.5 4.450 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.450 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.450 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.450 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.450 * [taylor]: Taking taylor expansion of 1.0 in n 4.450 * [backup-simplify]: Simplify 1.0 into 1.0 4.450 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.450 * [taylor]: Taking taylor expansion of 2.0 in n 4.450 * [backup-simplify]: Simplify 2.0 into 2.0 4.450 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.451 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.453 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.453 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.453 * [taylor]: Taking taylor expansion of 1.0 in n 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [taylor]: Taking taylor expansion of (log PI) in n 4.453 * [taylor]: Taking taylor expansion of PI in n 4.453 * [backup-simplify]: Simplify PI into PI 4.454 * [backup-simplify]: Simplify (log PI) into (log PI) 4.455 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.456 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.456 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.456 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.457 * [taylor]: Taking taylor expansion of (log n) in n 4.457 * [taylor]: Taking taylor expansion of n in n 4.457 * [backup-simplify]: Simplify 0 into 0 4.457 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (log 1) into 0 4.457 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.457 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.458 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.458 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.459 * [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) 4.461 * [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)) 4.462 * [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))) 4.464 * [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) 4.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.464 * [taylor]: Taking taylor expansion of 2.0 in n 4.464 * [backup-simplify]: Simplify 2.0 into 2.0 4.464 * [taylor]: Taking taylor expansion of (* n PI) in n 4.464 * [taylor]: Taking taylor expansion of n in n 4.464 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify 1 into 1 4.464 * [taylor]: Taking taylor expansion of PI in n 4.464 * [backup-simplify]: Simplify PI into PI 4.464 * [backup-simplify]: Simplify (* 0 PI) into 0 4.465 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.468 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.469 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.469 * [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 4.469 * [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 4.469 * [taylor]: Taking taylor expansion of +nan.0 in n 4.469 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.469 * [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 4.469 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.469 * [taylor]: Taking taylor expansion of 0.5 in n 4.469 * [backup-simplify]: Simplify 0.5 into 0.5 4.469 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.470 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.470 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.470 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.470 * [taylor]: Taking taylor expansion of 1.0 in n 4.470 * [backup-simplify]: Simplify 1.0 into 1.0 4.470 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.470 * [taylor]: Taking taylor expansion of 2.0 in n 4.470 * [backup-simplify]: Simplify 2.0 into 2.0 4.470 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.471 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.472 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.473 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.473 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.473 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.473 * [taylor]: Taking taylor expansion of 1.0 in n 4.473 * [backup-simplify]: Simplify 1.0 into 1.0 4.473 * [taylor]: Taking taylor expansion of (log PI) in n 4.473 * [taylor]: Taking taylor expansion of PI in n 4.473 * [backup-simplify]: Simplify PI into PI 4.473 * [backup-simplify]: Simplify (log PI) into (log PI) 4.474 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.476 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.476 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.476 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.476 * [taylor]: Taking taylor expansion of 1.0 in n 4.476 * [backup-simplify]: Simplify 1.0 into 1.0 4.476 * [taylor]: Taking taylor expansion of (log n) in n 4.476 * [taylor]: Taking taylor expansion of n in n 4.476 * [backup-simplify]: Simplify 0 into 0 4.476 * [backup-simplify]: Simplify 1 into 1 4.477 * [backup-simplify]: Simplify (log 1) into 0 4.477 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.477 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.477 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.478 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.479 * [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) 4.481 * [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)) 4.482 * [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))) 4.484 * [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) 4.484 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.484 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.484 * [taylor]: Taking taylor expansion of 2.0 in n 4.484 * [backup-simplify]: Simplify 2.0 into 2.0 4.484 * [taylor]: Taking taylor expansion of (* n PI) in n 4.484 * [taylor]: Taking taylor expansion of n in n 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of PI in n 4.484 * [backup-simplify]: Simplify PI into PI 4.485 * [backup-simplify]: Simplify (* 0 PI) into 0 4.485 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.488 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.490 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.491 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.493 * [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)) 4.495 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.497 * [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)) 4.500 * [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))) 4.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.504 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.506 * [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)) 4.507 * [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))) 4.509 * [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)))))))) 4.516 * [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)))))))))))) 4.529 * [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)))))))))))) 4.542 * [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)))))))))))))) 4.561 * [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)))))))))))))) 4.579 * [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)))))))))))))) 4.607 * [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)))))))))))))))))))))) 4.609 * [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)))))) 4.609 * [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 4.609 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.609 * [taylor]: Taking taylor expansion of 1.0 in n 4.609 * [backup-simplify]: Simplify 1.0 into 1.0 4.609 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.609 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.609 * [taylor]: Taking taylor expansion of k in n 4.609 * [backup-simplify]: Simplify k into k 4.609 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.609 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.609 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.609 * [taylor]: Taking taylor expansion of 0.5 in n 4.609 * [backup-simplify]: Simplify 0.5 into 0.5 4.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.609 * [taylor]: Taking taylor expansion of 1.0 in n 4.609 * [backup-simplify]: Simplify 1.0 into 1.0 4.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.609 * [taylor]: Taking taylor expansion of k in n 4.609 * [backup-simplify]: Simplify k into k 4.609 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.609 * [taylor]: Taking taylor expansion of 2.0 in n 4.609 * [backup-simplify]: Simplify 2.0 into 2.0 4.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.609 * [taylor]: Taking taylor expansion of PI in n 4.610 * [backup-simplify]: Simplify PI into PI 4.610 * [taylor]: Taking taylor expansion of n in n 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (/ PI 1) into PI 4.611 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.612 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.612 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.612 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.612 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.615 * [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)))) 4.616 * [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))))) 4.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.616 * [taylor]: Taking taylor expansion of 1.0 in k 4.616 * [backup-simplify]: Simplify 1.0 into 1.0 4.616 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.616 * [taylor]: Taking taylor expansion of k in k 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 1 into 1 4.616 * [backup-simplify]: Simplify (sqrt 0) into 0 4.618 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.618 * [taylor]: Taking taylor expansion of 0.5 in k 4.618 * [backup-simplify]: Simplify 0.5 into 0.5 4.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.618 * [taylor]: Taking taylor expansion of 1.0 in k 4.618 * [backup-simplify]: Simplify 1.0 into 1.0 4.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.618 * [taylor]: Taking taylor expansion of k in k 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (/ 1 1) into 1 4.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.618 * [taylor]: Taking taylor expansion of 2.0 in k 4.618 * [backup-simplify]: Simplify 2.0 into 2.0 4.618 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.618 * [taylor]: Taking taylor expansion of PI in k 4.619 * [backup-simplify]: Simplify PI into PI 4.619 * [taylor]: Taking taylor expansion of n in k 4.619 * [backup-simplify]: Simplify n into n 4.619 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.619 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.619 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.619 * [backup-simplify]: Simplify (- 1) into -1 4.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.620 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.620 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.620 * [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))))) 4.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.620 * [taylor]: Taking taylor expansion of 1.0 in k 4.620 * [backup-simplify]: Simplify 1.0 into 1.0 4.621 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.621 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.621 * [taylor]: Taking taylor expansion of k in k 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (sqrt 0) into 0 4.622 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.622 * [taylor]: Taking taylor expansion of 0.5 in k 4.622 * [backup-simplify]: Simplify 0.5 into 0.5 4.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.622 * [taylor]: Taking taylor expansion of 1.0 in k 4.622 * [backup-simplify]: Simplify 1.0 into 1.0 4.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.622 * [taylor]: Taking taylor expansion of k in k 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (/ 1 1) into 1 4.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.623 * [taylor]: Taking taylor expansion of 2.0 in k 4.623 * [backup-simplify]: Simplify 2.0 into 2.0 4.623 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.623 * [taylor]: Taking taylor expansion of PI in k 4.623 * [backup-simplify]: Simplify PI into PI 4.623 * [taylor]: Taking taylor expansion of n in k 4.623 * [backup-simplify]: Simplify n into n 4.623 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.623 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.623 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.624 * [backup-simplify]: Simplify (- 1) into -1 4.624 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.624 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.625 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.625 * [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))))) 4.625 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.626 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.626 * [taylor]: Taking taylor expansion of 0 in n 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [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))))))) 4.627 * [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))))))) 4.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.627 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.627 * [taylor]: Taking taylor expansion of +nan.0 in n 4.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.627 * [taylor]: Taking taylor expansion of 0.5 in n 4.627 * [backup-simplify]: Simplify 0.5 into 0.5 4.627 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.627 * [taylor]: Taking taylor expansion of 2.0 in n 4.627 * [backup-simplify]: Simplify 2.0 into 2.0 4.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.627 * [taylor]: Taking taylor expansion of PI in n 4.627 * [backup-simplify]: Simplify PI into PI 4.627 * [taylor]: Taking taylor expansion of n in n 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (/ PI 1) into PI 4.628 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.629 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.630 * [taylor]: Taking taylor expansion of 1.0 in n 4.630 * [backup-simplify]: Simplify 1.0 into 1.0 4.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.630 * [taylor]: Taking taylor expansion of k in n 4.630 * [backup-simplify]: Simplify k into k 4.630 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.631 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.631 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.631 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.632 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.634 * [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)))) 4.635 * [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))))) 4.636 * [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)))))) 4.637 * [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))))))) 4.639 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.639 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.643 * [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))))))) 4.644 * [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))))))) 4.644 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.644 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.644 * [taylor]: Taking taylor expansion of +nan.0 in n 4.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.644 * [taylor]: Taking taylor expansion of 0.5 in n 4.644 * [backup-simplify]: Simplify 0.5 into 0.5 4.644 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.644 * [taylor]: Taking taylor expansion of 2.0 in n 4.645 * [backup-simplify]: Simplify 2.0 into 2.0 4.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.645 * [taylor]: Taking taylor expansion of PI in n 4.645 * [backup-simplify]: Simplify PI into PI 4.645 * [taylor]: Taking taylor expansion of n in n 4.645 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (/ PI 1) into PI 4.646 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.647 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.647 * [taylor]: Taking taylor expansion of 1.0 in n 4.647 * [backup-simplify]: Simplify 1.0 into 1.0 4.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.647 * [taylor]: Taking taylor expansion of k in n 4.647 * [backup-simplify]: Simplify k into k 4.647 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.648 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.648 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.649 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.650 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.651 * [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)))) 4.652 * [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))))) 4.653 * [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)))))) 4.655 * [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))))))) 4.656 * [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))))))) 4.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.658 * [backup-simplify]: Simplify (- 0) into 0 4.658 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.663 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.671 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.673 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.673 * [backup-simplify]: Simplify (- 0) into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.679 * [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))))))) 4.680 * [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))))))) 4.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.680 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.680 * [taylor]: Taking taylor expansion of +nan.0 in n 4.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.680 * [taylor]: Taking taylor expansion of 0.5 in n 4.680 * [backup-simplify]: Simplify 0.5 into 0.5 4.680 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.680 * [taylor]: Taking taylor expansion of 2.0 in n 4.680 * [backup-simplify]: Simplify 2.0 into 2.0 4.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.681 * [taylor]: Taking taylor expansion of PI in n 4.681 * [backup-simplify]: Simplify PI into PI 4.681 * [taylor]: Taking taylor expansion of n in n 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ PI 1) into PI 4.682 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.683 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.683 * [taylor]: Taking taylor expansion of 1.0 in n 4.683 * [backup-simplify]: Simplify 1.0 into 1.0 4.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.683 * [taylor]: Taking taylor expansion of k in n 4.683 * [backup-simplify]: Simplify k into k 4.683 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.685 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.685 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.686 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.687 * [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)))) 4.688 * [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))))) 4.690 * [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)))))) 4.691 * [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))))))) 4.692 * [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))))))) 4.698 * [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)))))))) 4.699 * [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)))) 4.699 * [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 4.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.699 * [taylor]: Taking taylor expansion of 1.0 in n 4.699 * [backup-simplify]: Simplify 1.0 into 1.0 4.699 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.699 * [taylor]: Taking taylor expansion of 0.5 in n 4.699 * [backup-simplify]: Simplify 0.5 into 0.5 4.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.699 * [taylor]: Taking taylor expansion of k in n 4.699 * [backup-simplify]: Simplify k into k 4.699 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.699 * [taylor]: Taking taylor expansion of 1.0 in n 4.699 * [backup-simplify]: Simplify 1.0 into 1.0 4.700 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.700 * [taylor]: Taking taylor expansion of -2.0 in n 4.700 * [backup-simplify]: Simplify -2.0 into -2.0 4.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.700 * [taylor]: Taking taylor expansion of PI in n 4.700 * [backup-simplify]: Simplify PI into PI 4.700 * [taylor]: Taking taylor expansion of n in n 4.700 * [backup-simplify]: Simplify 0 into 0 4.700 * [backup-simplify]: Simplify 1 into 1 4.700 * [backup-simplify]: Simplify (/ PI 1) into PI 4.701 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.702 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.702 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.702 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.705 * [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)))) 4.706 * [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))))) 4.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.706 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.706 * [taylor]: Taking taylor expansion of -1 in n 4.706 * [backup-simplify]: Simplify -1 into -1 4.706 * [taylor]: Taking taylor expansion of k in n 4.706 * [backup-simplify]: Simplify k into k 4.706 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.706 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.706 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.708 * [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))) 4.708 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.708 * [taylor]: Taking taylor expansion of 1.0 in k 4.708 * [backup-simplify]: Simplify 1.0 into 1.0 4.708 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.708 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.708 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.708 * [taylor]: Taking taylor expansion of 0.5 in k 4.708 * [backup-simplify]: Simplify 0.5 into 0.5 4.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.708 * [taylor]: Taking taylor expansion of k in k 4.708 * [backup-simplify]: Simplify 0 into 0 4.708 * [backup-simplify]: Simplify 1 into 1 4.709 * [backup-simplify]: Simplify (/ 1 1) into 1 4.709 * [taylor]: Taking taylor expansion of 1.0 in k 4.709 * [backup-simplify]: Simplify 1.0 into 1.0 4.709 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.709 * [taylor]: Taking taylor expansion of -2.0 in k 4.709 * [backup-simplify]: Simplify -2.0 into -2.0 4.709 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.709 * [taylor]: Taking taylor expansion of PI in k 4.709 * [backup-simplify]: Simplify PI into PI 4.709 * [taylor]: Taking taylor expansion of n in k 4.709 * [backup-simplify]: Simplify n into n 4.709 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.709 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.709 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.710 * [backup-simplify]: Simplify (+ 1 0) into 1 4.710 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.710 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.710 * [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)))))) 4.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.711 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.711 * [taylor]: Taking taylor expansion of -1 in k 4.711 * [backup-simplify]: Simplify -1 into -1 4.711 * [taylor]: Taking taylor expansion of k in k 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ -1 1) into -1 4.712 * [backup-simplify]: Simplify (sqrt 0) into 0 4.713 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.713 * [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))))))) 4.713 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.714 * [taylor]: Taking taylor expansion of 1.0 in k 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.714 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.714 * [taylor]: Taking taylor expansion of 0.5 in k 4.714 * [backup-simplify]: Simplify 0.5 into 0.5 4.714 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.714 * [taylor]: Taking taylor expansion of k in k 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (/ 1 1) into 1 4.714 * [taylor]: Taking taylor expansion of 1.0 in k 4.714 * [backup-simplify]: Simplify 1.0 into 1.0 4.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.714 * [taylor]: Taking taylor expansion of -2.0 in k 4.715 * [backup-simplify]: Simplify -2.0 into -2.0 4.715 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.715 * [taylor]: Taking taylor expansion of PI in k 4.715 * [backup-simplify]: Simplify PI into PI 4.715 * [taylor]: Taking taylor expansion of n in k 4.715 * [backup-simplify]: Simplify n into n 4.715 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.715 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.715 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.716 * [backup-simplify]: Simplify (+ 1 0) into 1 4.716 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.716 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.717 * [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)))))) 4.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.717 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.717 * [taylor]: Taking taylor expansion of -1 in k 4.717 * [backup-simplify]: Simplify -1 into -1 4.717 * [taylor]: Taking taylor expansion of k in k 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [backup-simplify]: Simplify (/ -1 1) into -1 4.718 * [backup-simplify]: Simplify (sqrt 0) into 0 4.719 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.719 * [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))))))) 4.720 * [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))))))) 4.720 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.720 * [taylor]: Taking taylor expansion of +nan.0 in n 4.720 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.720 * [taylor]: Taking taylor expansion of 0.5 in n 4.720 * [backup-simplify]: Simplify 0.5 into 0.5 4.720 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.720 * [taylor]: Taking taylor expansion of k in n 4.720 * [backup-simplify]: Simplify k into k 4.720 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.720 * [taylor]: Taking taylor expansion of 1.0 in n 4.720 * [backup-simplify]: Simplify 1.0 into 1.0 4.720 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.720 * [taylor]: Taking taylor expansion of -2.0 in n 4.720 * [backup-simplify]: Simplify -2.0 into -2.0 4.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.720 * [taylor]: Taking taylor expansion of PI in n 4.720 * [backup-simplify]: Simplify PI into PI 4.721 * [taylor]: Taking taylor expansion of n in n 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.721 * [backup-simplify]: Simplify (/ PI 1) into PI 4.722 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.723 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.723 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.725 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.727 * [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)))) 4.728 * [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))))) 4.729 * [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)))))) 4.731 * [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)))))) 4.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.736 * [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)))))))) 4.737 * [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)))))))) 4.737 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.737 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.737 * [taylor]: Taking taylor expansion of +nan.0 in n 4.737 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.737 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.737 * [taylor]: Taking taylor expansion of 0.5 in n 4.737 * [backup-simplify]: Simplify 0.5 into 0.5 4.737 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.737 * [taylor]: Taking taylor expansion of k in n 4.737 * [backup-simplify]: Simplify k into k 4.737 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.737 * [taylor]: Taking taylor expansion of 1.0 in n 4.737 * [backup-simplify]: Simplify 1.0 into 1.0 4.737 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.737 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.738 * [taylor]: Taking taylor expansion of -2.0 in n 4.738 * [backup-simplify]: Simplify -2.0 into -2.0 4.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.738 * [taylor]: Taking taylor expansion of PI in n 4.738 * [backup-simplify]: Simplify PI into PI 4.738 * [taylor]: Taking taylor expansion of n in n 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 1 into 1 4.738 * [backup-simplify]: Simplify (/ PI 1) into PI 4.739 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.740 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.740 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.743 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.744 * [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)))) 4.745 * [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))))) 4.746 * [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)))))) 4.748 * [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))))))) 4.749 * [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))))))) 4.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.752 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.753 * [backup-simplify]: Simplify (+ 0 0) into 0 4.754 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.756 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 4.759 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.761 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 4.761 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.767 * [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)))))))) 4.768 * [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)))))))) 4.769 * [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 (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 4.770 * [backup-simplify]: Simplify (/ PI 1) into PI 4.771 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.772 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.772 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.775 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 4.776 * [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)))) 4.777 * [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))))) 4.778 * [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)))))) 4.779 * [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))))))) 4.781 * [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))))))) 4.785 * [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)))))))))))) 4.786 * * * [progress]: simplifying candidates 4.790 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 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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)))))))))))) 4.800 * * [simplify]: Extracting # 0 : cost 0 4.800 * * [simplify]: Extracting # 1 : cost 0 4.801 * * [simplify]: Extracting # 2 : cost 0 4.802 * * [simplify]: Extracting # 3 : cost 0 4.802 * * [simplify]: Extracting # 4 : cost 0 4.803 * * [simplify]: Extracting # 5 : cost 0 4.804 * * [simplify]: Extracting # 6 : cost 0 4.805 * * [simplify]: Extracting # 7 : cost 0 4.806 * * [simplify]: Extracting # 8 : cost 0 4.807 * * [simplify]: Extracting # 9 : cost 0 4.808 * * [simplify]: Extracting # 10 : cost 0 4.809 * * [simplify]: Extracting # 11 : cost 0 4.810 * * [simplify]: Extracting # 12 : cost 0 4.811 * * [simplify]: Extracting # 13 : cost 0 4.811 * * [simplify]: Extracting # 14 : cost 0 4.812 * * [simplify]: Extracting # 15 : cost 0 4.816 * * [simplify]: Extracting # 16 : cost 0 4.817 * * [simplify]: Extracting # 17 : cost 0 4.818 * * [simplify]: Extracting # 18 : cost 0 4.818 * * [simplify]: Extracting # 19 : cost 0 4.819 * * [simplify]: Extracting # 20 : cost 0 4.819 * * [simplify]: Extracting # 21 : cost 0 4.820 * * [simplify]: Extracting # 22 : cost 0 4.820 * * [simplify]: Extracting # 23 : cost 0 4.821 * * [simplify]: Extracting # 24 : cost 0 4.821 * * [simplify]: Extracting # 25 : cost 0 4.822 * * [simplify]: Extracting # 26 : cost 0 4.822 * * [simplify]: Extracting # 27 : cost 0 4.823 * * [simplify]: Extracting # 28 : cost 0 4.823 * * [simplify]: Extracting # 29 : cost 0 4.824 * * [simplify]: Extracting # 30 : cost 0 4.824 * * [simplify]: Extracting # 31 : cost 0 4.825 * * [simplify]: Extracting # 32 : cost 0 4.826 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 4.943 * * [simplify]: Extracting # 0 : cost 0 4.944 * * [simplify]: Extracting # 1 : cost 0 4.946 * * [simplify]: Extracting # 2 : cost 0 4.948 * * [simplify]: Extracting # 3 : cost 0 4.951 * * [simplify]: Extracting # 4 : cost 0 4.954 * * [simplify]: Extracting # 5 : cost 0 4.957 * * [simplify]: Extracting # 6 : cost 0 4.959 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 5.539 * * [simplify]: Extracting # 0 : cost 0 5.547 * * [simplify]: Extracting # 1 : cost 0 5.556 * * [simplify]: Extracting # 2 : cost 0 5.563 * * [simplify]: Extracting # 3 : cost 0 5.568 * * [simplify]: Extracting # 4 : cost 0 5.572 * * [simplify]: Extracting # 5 : cost 0 5.577 * * [simplify]: iteration 2 : 3131 enodes (cost 2550 ) 6.915 * * [simplify]: Extracting # 0 : cost 0 6.922 * * [simplify]: Extracting # 1 : cost 0 6.929 * * [simplify]: Extracting # 2 : cost 0 6.935 * * [simplify]: Extracting # 3 : cost 0 6.951 * * [simplify]: Extracting # 4 : cost 0 6.963 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 6.966 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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 (* n PI)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* 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 (* n (* 2.0 PI)) (- 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 (* n PI)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (/ (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (log (* n (* 2.0 PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 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)))) (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (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))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (- (- (fma k +nan.0 +nan.0) (* (* +nan.0 k) k))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (fma (* +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)) (fma (* (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) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma +nan.0 (- (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (fma +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)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +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 (* k (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))) (- (/ +nan.0 (/ (pow k 3) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (fma (- +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)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 6.968 * * * [progress]: adding candidates to table 7.634 * * [progress]: iteration 2 / 4 7.634 * * * [progress]: picking best candidate 7.681 * * * * [pick]: Picked # 7.682 * * * [progress]: localizing error 7.697 * * * [progress]: generating rewritten candidates 7.697 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.737 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.780 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.789 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.877 * * * [progress]: generating series expansions 7.877 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.878 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 7.878 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.879 * [taylor]: Taking taylor expansion of 0.5 in k 7.879 * [backup-simplify]: Simplify 0.5 into 0.5 7.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.879 * [taylor]: Taking taylor expansion of 1.0 in k 7.879 * [backup-simplify]: Simplify 1.0 into 1.0 7.879 * [taylor]: Taking taylor expansion of k in k 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.879 * [taylor]: Taking taylor expansion of 2.0 in k 7.879 * [backup-simplify]: Simplify 2.0 into 2.0 7.879 * [taylor]: Taking taylor expansion of (* n PI) in k 7.879 * [taylor]: Taking taylor expansion of n in k 7.879 * [backup-simplify]: Simplify n into n 7.879 * [taylor]: Taking taylor expansion of PI in k 7.879 * [backup-simplify]: Simplify PI into PI 7.879 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.879 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.879 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.880 * [backup-simplify]: Simplify (- 0) into 0 7.880 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.881 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.881 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.881 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.881 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.881 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.881 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.881 * [taylor]: Taking taylor expansion of 0.5 in n 7.881 * [backup-simplify]: Simplify 0.5 into 0.5 7.881 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.881 * [taylor]: Taking taylor expansion of 1.0 in n 7.881 * [backup-simplify]: Simplify 1.0 into 1.0 7.881 * [taylor]: Taking taylor expansion of k in n 7.881 * [backup-simplify]: Simplify k into k 7.881 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.881 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.881 * [taylor]: Taking taylor expansion of 2.0 in n 7.882 * [backup-simplify]: Simplify 2.0 into 2.0 7.882 * [taylor]: Taking taylor expansion of (* n PI) in n 7.882 * [taylor]: Taking taylor expansion of n in n 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [taylor]: Taking taylor expansion of PI in n 7.882 * [backup-simplify]: Simplify PI into PI 7.882 * [backup-simplify]: Simplify (* 0 PI) into 0 7.883 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.884 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.886 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.887 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.887 * [backup-simplify]: Simplify (- k) into (- k) 7.887 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.887 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.888 * [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)))) 7.889 * [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))))) 7.889 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.889 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.889 * [taylor]: Taking taylor expansion of 0.5 in n 7.889 * [backup-simplify]: Simplify 0.5 into 0.5 7.889 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.889 * [taylor]: Taking taylor expansion of 1.0 in n 7.889 * [backup-simplify]: Simplify 1.0 into 1.0 7.889 * [taylor]: Taking taylor expansion of k in n 7.889 * [backup-simplify]: Simplify k into k 7.889 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.889 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.889 * [taylor]: Taking taylor expansion of 2.0 in n 7.889 * [backup-simplify]: Simplify 2.0 into 2.0 7.890 * [taylor]: Taking taylor expansion of (* n PI) in n 7.890 * [taylor]: Taking taylor expansion of n in n 7.890 * [backup-simplify]: Simplify 0 into 0 7.890 * [backup-simplify]: Simplify 1 into 1 7.890 * [taylor]: Taking taylor expansion of PI in n 7.890 * [backup-simplify]: Simplify PI into PI 7.890 * [backup-simplify]: Simplify (* 0 PI) into 0 7.890 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.892 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.893 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.893 * [backup-simplify]: Simplify (- k) into (- k) 7.893 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.893 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.894 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.895 * [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)))) 7.895 * [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))))) 7.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.896 * [taylor]: Taking taylor expansion of 0.5 in k 7.896 * [backup-simplify]: Simplify 0.5 into 0.5 7.896 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.896 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.896 * [taylor]: Taking taylor expansion of 1.0 in k 7.896 * [backup-simplify]: Simplify 1.0 into 1.0 7.896 * [taylor]: Taking taylor expansion of k in k 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify 1 into 1 7.896 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.896 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.896 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.896 * [taylor]: Taking taylor expansion of 2.0 in k 7.896 * [backup-simplify]: Simplify 2.0 into 2.0 7.896 * [taylor]: Taking taylor expansion of PI in k 7.896 * [backup-simplify]: Simplify PI into PI 7.896 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.897 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.897 * [taylor]: Taking taylor expansion of (log n) in k 7.897 * [taylor]: Taking taylor expansion of n in k 7.897 * [backup-simplify]: Simplify n into n 7.897 * [backup-simplify]: Simplify (log n) into (log n) 7.897 * [backup-simplify]: Simplify (- 0) into 0 7.897 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.898 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 7.899 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 7.899 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 7.900 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.901 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.902 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.903 * [backup-simplify]: Simplify (- 0) into 0 7.904 * [backup-simplify]: Simplify (+ 0 0) into 0 7.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.905 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 7.907 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.907 * [taylor]: Taking taylor expansion of 0 in k 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.909 * [backup-simplify]: Simplify (+ 0 0) into 0 7.909 * [backup-simplify]: Simplify (- 1) into -1 7.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 7.912 * [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)))) 7.914 * [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)))))) 7.916 * [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)))))) 7.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.917 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.919 * [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 7.919 * [backup-simplify]: Simplify (- 0) into 0 7.919 * [backup-simplify]: Simplify (+ 0 0) into 0 7.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.922 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.923 * [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 7.923 * [taylor]: Taking taylor expansion of 0 in k 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.923 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.926 * [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 7.927 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.927 * [backup-simplify]: Simplify (+ 0 0) into 0 7.928 * [backup-simplify]: Simplify (- 0) into 0 7.928 * [backup-simplify]: Simplify (+ 0 0) into 0 7.929 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.931 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 7.933 * [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)))))) 7.936 * [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)))))) 7.952 * [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)))))) 7.953 * [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)))) 7.953 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.953 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.953 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.953 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.953 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.953 * [taylor]: Taking taylor expansion of 0.5 in k 7.953 * [backup-simplify]: Simplify 0.5 into 0.5 7.953 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.953 * [taylor]: Taking taylor expansion of 1.0 in k 7.953 * [backup-simplify]: Simplify 1.0 into 1.0 7.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.953 * [taylor]: Taking taylor expansion of k in k 7.953 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify 1 into 1 7.953 * [backup-simplify]: Simplify (/ 1 1) into 1 7.953 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.953 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.953 * [taylor]: Taking taylor expansion of 2.0 in k 7.953 * [backup-simplify]: Simplify 2.0 into 2.0 7.953 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.953 * [taylor]: Taking taylor expansion of PI in k 7.953 * [backup-simplify]: Simplify PI into PI 7.953 * [taylor]: Taking taylor expansion of n in k 7.953 * [backup-simplify]: Simplify n into n 7.953 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.953 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.953 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.954 * [backup-simplify]: Simplify (- 1) into -1 7.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.954 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.954 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.954 * [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))))) 7.954 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.955 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.955 * [taylor]: Taking taylor expansion of 0.5 in n 7.955 * [backup-simplify]: Simplify 0.5 into 0.5 7.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.955 * [taylor]: Taking taylor expansion of 1.0 in n 7.955 * [backup-simplify]: Simplify 1.0 into 1.0 7.955 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.955 * [taylor]: Taking taylor expansion of k in n 7.955 * [backup-simplify]: Simplify k into k 7.955 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.955 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.955 * [taylor]: Taking taylor expansion of 2.0 in n 7.955 * [backup-simplify]: Simplify 2.0 into 2.0 7.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.955 * [taylor]: Taking taylor expansion of PI in n 7.955 * [backup-simplify]: Simplify PI into PI 7.955 * [taylor]: Taking taylor expansion of n in n 7.955 * [backup-simplify]: Simplify 0 into 0 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (/ PI 1) into PI 7.956 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.956 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.956 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.956 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.956 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.957 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.958 * [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)))) 7.959 * [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))))) 7.959 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.959 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.959 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.959 * [taylor]: Taking taylor expansion of 0.5 in n 7.959 * [backup-simplify]: Simplify 0.5 into 0.5 7.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.959 * [taylor]: Taking taylor expansion of 1.0 in n 7.959 * [backup-simplify]: Simplify 1.0 into 1.0 7.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.959 * [taylor]: Taking taylor expansion of k in n 7.959 * [backup-simplify]: Simplify k into k 7.959 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.959 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.959 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.959 * [taylor]: Taking taylor expansion of 2.0 in n 7.959 * [backup-simplify]: Simplify 2.0 into 2.0 7.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.959 * [taylor]: Taking taylor expansion of PI in n 7.959 * [backup-simplify]: Simplify PI into PI 7.959 * [taylor]: Taking taylor expansion of n in n 7.959 * [backup-simplify]: Simplify 0 into 0 7.959 * [backup-simplify]: Simplify 1 into 1 7.960 * [backup-simplify]: Simplify (/ PI 1) into PI 7.960 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.961 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.961 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.961 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.961 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.962 * [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)))) 7.963 * [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))))) 7.963 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.963 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.963 * [taylor]: Taking taylor expansion of 0.5 in k 7.963 * [backup-simplify]: Simplify 0.5 into 0.5 7.963 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.963 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.963 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.963 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.963 * [taylor]: Taking taylor expansion of 2.0 in k 7.963 * [backup-simplify]: Simplify 2.0 into 2.0 7.963 * [taylor]: Taking taylor expansion of PI in k 7.963 * [backup-simplify]: Simplify PI into PI 7.964 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.964 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.964 * [taylor]: Taking taylor expansion of (log n) in k 7.965 * [taylor]: Taking taylor expansion of n in k 7.965 * [backup-simplify]: Simplify n into n 7.965 * [backup-simplify]: Simplify (log n) into (log n) 7.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.965 * [taylor]: Taking taylor expansion of 1.0 in k 7.965 * [backup-simplify]: Simplify 1.0 into 1.0 7.965 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.965 * [taylor]: Taking taylor expansion of k in k 7.965 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify 1 into 1 7.965 * [backup-simplify]: Simplify (/ 1 1) into 1 7.965 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.966 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 7.966 * [backup-simplify]: Simplify (- 1) into -1 7.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.967 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 7.968 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 7.968 * [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))))) 7.969 * [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))))) 7.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.972 * [backup-simplify]: Simplify (- 0) into 0 7.972 * [backup-simplify]: Simplify (+ 0 0) into 0 7.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.973 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.974 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.975 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.975 * [taylor]: Taking taylor expansion of 0 in k 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify 0 into 0 7.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.978 * [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 7.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.979 * [backup-simplify]: Simplify (+ 0 0) into 0 7.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.982 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 7.984 * [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 7.984 * [taylor]: Taking taylor expansion of 0 in k 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.991 * [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 7.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.992 * [backup-simplify]: Simplify (- 0) into 0 7.992 * [backup-simplify]: Simplify (+ 0 0) into 0 7.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.995 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.997 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 7.999 * [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 8.000 * [taylor]: Taking taylor expansion of 0 in k 8.000 * [backup-simplify]: Simplify 0 into 0 8.000 * [backup-simplify]: Simplify 0 into 0 8.001 * [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)))) 8.002 * [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))) 8.002 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.002 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.002 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.002 * [taylor]: Taking taylor expansion of 0.5 in k 8.002 * [backup-simplify]: Simplify 0.5 into 0.5 8.002 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.002 * [taylor]: Taking taylor expansion of k in k 8.002 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify 1 into 1 8.002 * [backup-simplify]: Simplify (/ 1 1) into 1 8.002 * [taylor]: Taking taylor expansion of 1.0 in k 8.002 * [backup-simplify]: Simplify 1.0 into 1.0 8.002 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.002 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.003 * [taylor]: Taking taylor expansion of -2.0 in k 8.003 * [backup-simplify]: Simplify -2.0 into -2.0 8.003 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.003 * [taylor]: Taking taylor expansion of PI in k 8.003 * [backup-simplify]: Simplify PI into PI 8.003 * [taylor]: Taking taylor expansion of n in k 8.003 * [backup-simplify]: Simplify n into n 8.003 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.003 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.003 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.003 * [backup-simplify]: Simplify (+ 1 0) into 1 8.004 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.004 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 8.004 * [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)))))) 8.004 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.005 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.005 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.005 * [taylor]: Taking taylor expansion of 0.5 in n 8.005 * [backup-simplify]: Simplify 0.5 into 0.5 8.005 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.005 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.005 * [taylor]: Taking taylor expansion of k in n 8.005 * [backup-simplify]: Simplify k into k 8.005 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.005 * [taylor]: Taking taylor expansion of 1.0 in n 8.005 * [backup-simplify]: Simplify 1.0 into 1.0 8.005 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.005 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.005 * [taylor]: Taking taylor expansion of -2.0 in n 8.005 * [backup-simplify]: Simplify -2.0 into -2.0 8.005 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.005 * [taylor]: Taking taylor expansion of PI in n 8.005 * [backup-simplify]: Simplify PI into PI 8.005 * [taylor]: Taking taylor expansion of n in n 8.005 * [backup-simplify]: Simplify 0 into 0 8.005 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (/ PI 1) into PI 8.006 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.007 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.007 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.007 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.010 * [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)))) 8.011 * [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))))) 8.011 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.011 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.011 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.011 * [taylor]: Taking taylor expansion of 0.5 in n 8.011 * [backup-simplify]: Simplify 0.5 into 0.5 8.011 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.011 * [taylor]: Taking taylor expansion of k in n 8.011 * [backup-simplify]: Simplify k into k 8.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.011 * [taylor]: Taking taylor expansion of 1.0 in n 8.011 * [backup-simplify]: Simplify 1.0 into 1.0 8.011 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.011 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.011 * [taylor]: Taking taylor expansion of -2.0 in n 8.011 * [backup-simplify]: Simplify -2.0 into -2.0 8.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.012 * [taylor]: Taking taylor expansion of PI in n 8.012 * [backup-simplify]: Simplify PI into PI 8.012 * [taylor]: Taking taylor expansion of n in n 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 1 into 1 8.012 * [backup-simplify]: Simplify (/ PI 1) into PI 8.013 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.014 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.014 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.014 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.016 * [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)))) 8.017 * [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))))) 8.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.017 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.017 * [taylor]: Taking taylor expansion of 0.5 in k 8.017 * [backup-simplify]: Simplify 0.5 into 0.5 8.017 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.017 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.017 * [taylor]: Taking taylor expansion of k in k 8.017 * [backup-simplify]: Simplify 0 into 0 8.017 * [backup-simplify]: Simplify 1 into 1 8.017 * [backup-simplify]: Simplify (/ 1 1) into 1 8.017 * [taylor]: Taking taylor expansion of 1.0 in k 8.017 * [backup-simplify]: Simplify 1.0 into 1.0 8.017 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.017 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.017 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.017 * [taylor]: Taking taylor expansion of -2.0 in k 8.017 * [backup-simplify]: Simplify -2.0 into -2.0 8.017 * [taylor]: Taking taylor expansion of PI in k 8.017 * [backup-simplify]: Simplify PI into PI 8.018 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.018 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.018 * [taylor]: Taking taylor expansion of (log n) in k 8.018 * [taylor]: Taking taylor expansion of n in k 8.018 * [backup-simplify]: Simplify n into n 8.018 * [backup-simplify]: Simplify (log n) into (log n) 8.019 * [backup-simplify]: Simplify (+ 1 0) into 1 8.019 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.019 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.020 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 8.021 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 8.022 * [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))))) 8.022 * [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))))) 8.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.023 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.025 * [backup-simplify]: Simplify (+ 0 0) into 0 8.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.027 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.028 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.028 * [taylor]: Taking taylor expansion of 0 in k 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.029 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.031 * [backup-simplify]: Simplify (+ 0 0) into 0 8.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.034 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.036 * [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 8.036 * [taylor]: Taking taylor expansion of 0 in k 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.037 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.040 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.040 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.042 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.043 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.045 * [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 8.045 * [taylor]: Taking taylor expansion of 0 in k 8.045 * [backup-simplify]: Simplify 0 into 0 8.045 * [backup-simplify]: Simplify 0 into 0 8.046 * [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)))))) 8.046 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.046 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) into (* 1.0 (sqrt (/ 1 k))) 8.046 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.046 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.046 * [taylor]: Taking taylor expansion of 1.0 in k 8.046 * [backup-simplify]: Simplify 1.0 into 1.0 8.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.046 * [taylor]: Taking taylor expansion of k in k 8.046 * [backup-simplify]: Simplify 0 into 0 8.046 * [backup-simplify]: Simplify 1 into 1 8.051 * [backup-simplify]: Simplify (/ 1 1) into 1 8.051 * [backup-simplify]: Simplify (sqrt 0) into 0 8.052 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.052 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.052 * [taylor]: Taking taylor expansion of 1.0 in k 8.052 * [backup-simplify]: Simplify 1.0 into 1.0 8.052 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.052 * [taylor]: Taking taylor expansion of k in k 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (/ 1 1) into 1 8.053 * [backup-simplify]: Simplify (sqrt 0) into 0 8.054 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.054 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.054 * [backup-simplify]: Simplify 0 into 0 8.055 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.055 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.059 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.059 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.063 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.064 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.064 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.065 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (sqrt k)) 8.065 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.065 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.065 * [taylor]: Taking taylor expansion of 1.0 in k 8.065 * [backup-simplify]: Simplify 1.0 into 1.0 8.065 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.065 * [taylor]: Taking taylor expansion of k in k 8.065 * [backup-simplify]: Simplify 0 into 0 8.065 * [backup-simplify]: Simplify 1 into 1 8.065 * [backup-simplify]: Simplify (sqrt 0) into 0 8.066 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.066 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.066 * [taylor]: Taking taylor expansion of 1.0 in k 8.066 * [backup-simplify]: Simplify 1.0 into 1.0 8.066 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.066 * [taylor]: Taking taylor expansion of k in k 8.066 * [backup-simplify]: Simplify 0 into 0 8.066 * [backup-simplify]: Simplify 1 into 1 8.066 * [backup-simplify]: Simplify (sqrt 0) into 0 8.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.067 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.067 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.068 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.070 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.071 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.075 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.077 * [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)))))))) 8.077 * [backup-simplify]: Simplify (/ (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ 1.0 (sqrt (/ -1 k))) 8.077 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.077 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.077 * [taylor]: Taking taylor expansion of 1.0 in k 8.077 * [backup-simplify]: Simplify 1.0 into 1.0 8.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.077 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.077 * [taylor]: Taking taylor expansion of -1 in k 8.077 * [backup-simplify]: Simplify -1 into -1 8.077 * [taylor]: Taking taylor expansion of k in k 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify 1 into 1 8.077 * [backup-simplify]: Simplify (/ -1 1) into -1 8.078 * [backup-simplify]: Simplify (sqrt 0) into 0 8.078 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.079 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.079 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.079 * [taylor]: Taking taylor expansion of 1.0 in k 8.079 * [backup-simplify]: Simplify 1.0 into 1.0 8.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.079 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.079 * [taylor]: Taking taylor expansion of -1 in k 8.079 * [backup-simplify]: Simplify -1 into -1 8.079 * [taylor]: Taking taylor expansion of k in k 8.079 * [backup-simplify]: Simplify 0 into 0 8.079 * [backup-simplify]: Simplify 1 into 1 8.080 * [backup-simplify]: Simplify (/ -1 1) into -1 8.080 * [backup-simplify]: Simplify (sqrt 0) into 0 8.081 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.082 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.088 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.089 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.097 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.097 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.098 * [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))))) 8.098 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.098 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt k))) into (* 1.0 (pow (/ 1 k) 1/4)) 8.098 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 8.098 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.098 * [taylor]: Taking taylor expansion of 1.0 in k 8.098 * [backup-simplify]: Simplify 1.0 into 1.0 8.098 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.098 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.098 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.098 * [taylor]: Taking taylor expansion of 1/4 in k 8.098 * [backup-simplify]: Simplify 1/4 into 1/4 8.098 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.098 * [taylor]: Taking taylor expansion of k in k 8.098 * [backup-simplify]: Simplify 0 into 0 8.098 * [backup-simplify]: Simplify 1 into 1 8.098 * [backup-simplify]: Simplify (/ 1 1) into 1 8.098 * [backup-simplify]: Simplify (log 1) into 0 8.099 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.099 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 8.099 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 8.099 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.099 * [taylor]: Taking taylor expansion of 1.0 in k 8.099 * [backup-simplify]: Simplify 1.0 into 1.0 8.099 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.099 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.099 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.099 * [taylor]: Taking taylor expansion of 1/4 in k 8.099 * [backup-simplify]: Simplify 1/4 into 1/4 8.099 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.099 * [taylor]: Taking taylor expansion of k in k 8.099 * [backup-simplify]: Simplify 0 into 0 8.099 * [backup-simplify]: Simplify 1 into 1 8.099 * [backup-simplify]: Simplify (/ 1 1) into 1 8.100 * [backup-simplify]: Simplify (log 1) into 0 8.100 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.100 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 8.100 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 8.100 * [backup-simplify]: Simplify (* 1.0 (pow k -1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.100 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.102 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 8.103 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 8.103 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k -1/4))) into 0 8.103 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.106 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.106 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 8.107 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 8.108 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.111 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 8.113 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 8.114 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.120 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 8.123 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 8.124 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.139 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.140 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 8.144 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.168 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 8.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 8.175 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.179 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 k)))) into (* 1.0 (pow k 1/4)) 8.179 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 8.179 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.179 * [taylor]: Taking taylor expansion of 1.0 in k 8.179 * [backup-simplify]: Simplify 1.0 into 1.0 8.179 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.179 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.179 * [taylor]: Taking taylor expansion of 1/4 in k 8.179 * [backup-simplify]: Simplify 1/4 into 1/4 8.179 * [taylor]: Taking taylor expansion of (log k) in k 8.179 * [taylor]: Taking taylor expansion of k in k 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (log 1) into 0 8.180 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.180 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 8.180 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 8.180 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.180 * [taylor]: Taking taylor expansion of 1.0 in k 8.180 * [backup-simplify]: Simplify 1.0 into 1.0 8.180 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.180 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.180 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.180 * [taylor]: Taking taylor expansion of 1/4 in k 8.180 * [backup-simplify]: Simplify 1/4 into 1/4 8.180 * [taylor]: Taking taylor expansion of (log k) in k 8.181 * [taylor]: Taking taylor expansion of k in k 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (log 1) into 0 8.181 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.182 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 8.182 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 8.182 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 8.182 * [backup-simplify]: Simplify (* 1.0 (pow k 1/4)) into (* 1.0 (pow k 1/4)) 8.184 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.184 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.185 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 8.185 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 8.186 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (pow k 1/4))) into 0 8.186 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.188 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.188 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 8.189 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 8.190 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 8.193 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.194 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 8.195 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 8.196 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 8.201 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.202 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 8.204 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 8.213 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.215 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 8.219 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.221 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 8.221 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 8.239 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 8.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 8.243 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.245 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify (* 1.0 (pow (/ 1 k) 1/4)) into (* 1.0 (pow (/ 1 k) 1/4)) 8.245 * [backup-simplify]: Simplify (/ 1.0 (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) 8.245 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.245 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.245 * [taylor]: Taking taylor expansion of 1.0 in k 8.245 * [backup-simplify]: Simplify 1.0 into 1.0 8.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.245 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.245 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.245 * [taylor]: Taking taylor expansion of -1 in k 8.245 * [backup-simplify]: Simplify -1 into -1 8.245 * [taylor]: Taking taylor expansion of k in k 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ -1 1) into -1 8.246 * [backup-simplify]: Simplify (sqrt 0) into 0 8.247 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.247 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.247 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 8.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.254 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.255 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 8.255 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.255 * [taylor]: Taking taylor expansion of 1.0 in k 8.255 * [backup-simplify]: Simplify 1.0 into 1.0 8.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.256 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.256 * [taylor]: Taking taylor expansion of -1 in k 8.256 * [backup-simplify]: Simplify -1 into -1 8.256 * [taylor]: Taking taylor expansion of k in k 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [backup-simplify]: Simplify (/ -1 1) into -1 8.256 * [backup-simplify]: Simplify (sqrt 0) into 0 8.257 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.257 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 8.257 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 8.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.261 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.263 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.265 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 8.266 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 8.267 * [backup-simplify]: Simplify (* 1.0 (sqrt +nan.0)) into (* 1.0 (sqrt +nan.0)) 8.270 * [backup-simplify]: Simplify (+ (* 1.0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 8.272 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 8.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.281 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.285 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 8.299 * [backup-simplify]: Simplify (+ (* 1.0 (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 8.307 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) 8.319 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (sqrt +nan.0))) (- (* +nan.0 (/ 1 (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (/ 1 (- k))) (* 1.0 (sqrt +nan.0)))) into (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 8.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.320 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.320 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.320 * [taylor]: Taking taylor expansion of 2.0 in n 8.320 * [backup-simplify]: Simplify 2.0 into 2.0 8.320 * [taylor]: Taking taylor expansion of (* n PI) in n 8.320 * [taylor]: Taking taylor expansion of n in n 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [taylor]: Taking taylor expansion of PI in n 8.320 * [backup-simplify]: Simplify PI into PI 8.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.320 * [taylor]: Taking taylor expansion of 2.0 in n 8.320 * [backup-simplify]: Simplify 2.0 into 2.0 8.320 * [taylor]: Taking taylor expansion of (* n PI) in n 8.320 * [taylor]: Taking taylor expansion of n in n 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [taylor]: Taking taylor expansion of PI in n 8.320 * [backup-simplify]: Simplify PI into PI 8.321 * [backup-simplify]: Simplify (* 0 PI) into 0 8.321 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.321 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.324 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.325 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.329 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.332 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.339 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.342 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.344 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.344 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.344 * [taylor]: Taking taylor expansion of 2.0 in n 8.344 * [backup-simplify]: Simplify 2.0 into 2.0 8.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.344 * [taylor]: Taking taylor expansion of PI in n 8.344 * [backup-simplify]: Simplify PI into PI 8.344 * [taylor]: Taking taylor expansion of n in n 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ PI 1) into PI 8.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.345 * [taylor]: Taking taylor expansion of 2.0 in n 8.345 * [backup-simplify]: Simplify 2.0 into 2.0 8.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.345 * [taylor]: Taking taylor expansion of PI in n 8.345 * [backup-simplify]: Simplify PI into PI 8.345 * [taylor]: Taking taylor expansion of n in n 8.345 * [backup-simplify]: Simplify 0 into 0 8.345 * [backup-simplify]: Simplify 1 into 1 8.345 * [backup-simplify]: Simplify (/ PI 1) into PI 8.346 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.346 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.348 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.348 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.350 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.357 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.359 * [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 8.360 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.361 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.361 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.362 * [taylor]: Taking taylor expansion of -2.0 in n 8.362 * [backup-simplify]: Simplify -2.0 into -2.0 8.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.362 * [taylor]: Taking taylor expansion of PI in n 8.362 * [backup-simplify]: Simplify PI into PI 8.362 * [taylor]: Taking taylor expansion of n in n 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (/ PI 1) into PI 8.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.362 * [taylor]: Taking taylor expansion of -2.0 in n 8.362 * [backup-simplify]: Simplify -2.0 into -2.0 8.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.362 * [taylor]: Taking taylor expansion of PI in n 8.362 * [backup-simplify]: Simplify PI into PI 8.362 * [taylor]: Taking taylor expansion of n in n 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (/ PI 1) into PI 8.364 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.364 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.370 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.373 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.375 * [backup-simplify]: Simplify 0 into 0 8.376 * [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 8.378 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.378 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.379 * * * [progress]: simplifying candidates 8.402 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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 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k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.419 * * [simplify]: Extracting # 0 : cost 0 8.420 * * [simplify]: Extracting # 1 : cost 0 8.421 * * [simplify]: Extracting # 2 : cost 0 8.422 * * [simplify]: Extracting # 3 : cost 0 8.423 * * [simplify]: Extracting # 4 : cost 0 8.424 * * [simplify]: Extracting # 5 : cost 0 8.426 * * [simplify]: Extracting # 6 : cost 0 8.427 * * [simplify]: Extracting # 7 : cost 0 8.428 * * [simplify]: Extracting # 8 : cost 0 8.429 * * [simplify]: Extracting # 9 : cost 0 8.430 * * [simplify]: Extracting # 10 : cost 0 8.431 * * [simplify]: Extracting # 11 : cost 0 8.432 * * [simplify]: Extracting # 12 : cost 0 8.434 * * [simplify]: Extracting # 13 : cost 0 8.435 * * [simplify]: iteration 0 : 566 enodes (cost 9021 ) 8.768 * * [simplify]: Extracting # 0 : cost 0 8.771 * * [simplify]: Extracting # 1 : cost 0 8.773 * * [simplify]: Extracting # 2 : cost 0 8.774 * * [simplify]: Extracting # 3 : cost 0 8.776 * * [simplify]: Extracting # 4 : cost 0 8.778 * * [simplify]: Extracting # 5 : cost 0 8.780 * * [simplify]: iteration 1 : 1341 enodes (cost 7684 ) 9.423 * * [simplify]: Extracting # 0 : cost 0 9.427 * * [simplify]: Extracting # 1 : cost 0 9.431 * * [simplify]: Extracting # 2 : cost 0 9.440 * * [simplify]: Extracting # 3 : cost 0 9.447 * * [simplify]: Extracting # 4 : cost 0 9.454 * * [simplify]: iteration 2 : 3109 enodes (cost 7109 ) 10.712 * * [simplify]: Extracting # 0 : cost 0 10.723 * * [simplify]: Extracting # 1 : cost 0 10.735 * * [simplify]: Extracting # 2 : cost 0 10.740 * * [simplify]: Extracting # 3 : cost 0 10.753 * * [simplify]: Extracting # 4 : cost 0 10.759 * * [simplify]: iteration done: 5000 enodes (cost 6936 ) 10.763 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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)))) 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(cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) 1 (/ 1.0 (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt (sqrt k))) 3)) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (pow (sqrt (sqrt (sqrt k))) 3)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (cbrt 1.0)) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (pow (sqrt (sqrt (sqrt k))) 3) (sqrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (pow (sqrt (sqrt (sqrt k))) 3) 1.0) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (expm1 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (fabs (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5) (* (log n) (pow (* 2.0 (* n PI)) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.5) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.5))) (fma (* 0.25 (pow k 2)) (* (log n) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5))) (pow (* 2.0 (* n PI)) 0.5)))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma +nan.0 (- k) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (fma (sqrt +nan.0) 1.0 (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))) (/ +nan.0 (* (sqrt +nan.0) (pow k 2)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 10.766 * * * [progress]: adding candidates to table 12.013 * * [progress]: iteration 3 / 4 12.013 * * * [progress]: picking best candidate 12.049 * * * * [pick]: Picked # 12.049 * * * [progress]: localizing error 12.075 * * * [progress]: generating rewritten candidates 12.075 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.119 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 12.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 12.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 13.312 * * * [progress]: generating series expansions 13.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 13.313 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 13.313 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 13.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 13.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 13.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 13.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.313 * [taylor]: Taking taylor expansion of 0.5 in k 13.313 * [backup-simplify]: Simplify 0.5 into 0.5 13.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.313 * [taylor]: Taking taylor expansion of 1.0 in k 13.313 * [backup-simplify]: Simplify 1.0 into 1.0 13.313 * [taylor]: Taking taylor expansion of k in k 13.313 * [backup-simplify]: Simplify 0 into 0 13.313 * [backup-simplify]: Simplify 1 into 1 13.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 13.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 13.313 * [taylor]: Taking taylor expansion of 2.0 in k 13.313 * [backup-simplify]: Simplify 2.0 into 2.0 13.313 * [taylor]: Taking taylor expansion of (* n PI) in k 13.313 * [taylor]: Taking taylor expansion of n in k 13.313 * [backup-simplify]: Simplify n into n 13.313 * [taylor]: Taking taylor expansion of PI in k 13.313 * [backup-simplify]: Simplify PI into PI 13.313 * [backup-simplify]: Simplify (* n PI) into (* n PI) 13.314 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 13.314 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 13.314 * [backup-simplify]: Simplify (- 0) into 0 13.314 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.315 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.315 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 13.315 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 13.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 13.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 13.315 * [taylor]: Taking taylor expansion of 0.5 in n 13.315 * [backup-simplify]: Simplify 0.5 into 0.5 13.315 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.315 * [taylor]: Taking taylor expansion of 1.0 in n 13.315 * [backup-simplify]: Simplify 1.0 into 1.0 13.315 * [taylor]: Taking taylor expansion of k in n 13.315 * [backup-simplify]: Simplify k into k 13.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.315 * [taylor]: Taking taylor expansion of 2.0 in n 13.315 * [backup-simplify]: Simplify 2.0 into 2.0 13.315 * [taylor]: Taking taylor expansion of (* n PI) in n 13.315 * [taylor]: Taking taylor expansion of n in n 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 1 into 1 13.315 * [taylor]: Taking taylor expansion of PI in n 13.315 * [backup-simplify]: Simplify PI into PI 13.315 * [backup-simplify]: Simplify (* 0 PI) into 0 13.316 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.318 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.318 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.318 * [backup-simplify]: Simplify (- k) into (- k) 13.318 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.318 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 13.319 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.320 * [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)))) 13.321 * [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))))) 13.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 13.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 13.321 * [taylor]: Taking taylor expansion of 0.5 in n 13.321 * [backup-simplify]: Simplify 0.5 into 0.5 13.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.321 * [taylor]: Taking taylor expansion of 1.0 in n 13.321 * [backup-simplify]: Simplify 1.0 into 1.0 13.321 * [taylor]: Taking taylor expansion of k in n 13.321 * [backup-simplify]: Simplify k into k 13.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.321 * [taylor]: Taking taylor expansion of 2.0 in n 13.321 * [backup-simplify]: Simplify 2.0 into 2.0 13.321 * [taylor]: Taking taylor expansion of (* n PI) in n 13.321 * [taylor]: Taking taylor expansion of n in n 13.321 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify 1 into 1 13.321 * [taylor]: Taking taylor expansion of PI in n 13.321 * [backup-simplify]: Simplify PI into PI 13.322 * [backup-simplify]: Simplify (* 0 PI) into 0 13.322 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.324 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.324 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.325 * [backup-simplify]: Simplify (- k) into (- k) 13.325 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.325 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 13.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.326 * [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)))) 13.327 * [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))))) 13.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 13.328 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 13.328 * [taylor]: Taking taylor expansion of 0.5 in k 13.328 * [backup-simplify]: Simplify 0.5 into 0.5 13.328 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 13.328 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.328 * [taylor]: Taking taylor expansion of 1.0 in k 13.328 * [backup-simplify]: Simplify 1.0 into 1.0 13.328 * [taylor]: Taking taylor expansion of k in k 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify 1 into 1 13.328 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 13.328 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.328 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.328 * [taylor]: Taking taylor expansion of 2.0 in k 13.328 * [backup-simplify]: Simplify 2.0 into 2.0 13.328 * [taylor]: Taking taylor expansion of PI in k 13.328 * [backup-simplify]: Simplify PI into PI 13.329 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.330 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.330 * [taylor]: Taking taylor expansion of (log n) in k 13.330 * [taylor]: Taking taylor expansion of n in k 13.330 * [backup-simplify]: Simplify n into n 13.330 * [backup-simplify]: Simplify (log n) into (log n) 13.330 * [backup-simplify]: Simplify (- 0) into 0 13.331 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.332 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 13.333 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 13.334 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 13.335 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 13.336 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 13.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.338 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 13.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.341 * [backup-simplify]: Simplify (- 0) into 0 13.341 * [backup-simplify]: Simplify (+ 0 0) into 0 13.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 13.355 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.357 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 13.359 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.359 * [taylor]: Taking taylor expansion of 0 in k 13.359 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.362 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 13.363 * [backup-simplify]: Simplify (+ 0 0) into 0 13.363 * [backup-simplify]: Simplify (- 1) into -1 13.364 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.366 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 13.368 * [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)))) 13.371 * [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)))))) 13.374 * [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)))))) 13.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.380 * [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 13.380 * [backup-simplify]: Simplify (- 0) into 0 13.381 * [backup-simplify]: Simplify (+ 0 0) into 0 13.382 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 13.383 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.385 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.387 * [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 13.387 * [taylor]: Taking taylor expansion of 0 in k 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.391 * [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 13.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.394 * [backup-simplify]: Simplify (+ 0 0) into 0 13.394 * [backup-simplify]: Simplify (- 0) into 0 13.394 * [backup-simplify]: Simplify (+ 0 0) into 0 13.396 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.399 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 13.403 * [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)))))) 13.406 * [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)))))) 13.413 * [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)))))) 13.413 * [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)))) 13.413 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 13.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 13.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 13.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.413 * [taylor]: Taking taylor expansion of 0.5 in k 13.413 * [backup-simplify]: Simplify 0.5 into 0.5 13.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.413 * [taylor]: Taking taylor expansion of 1.0 in k 13.413 * [backup-simplify]: Simplify 1.0 into 1.0 13.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.413 * [taylor]: Taking taylor expansion of k in k 13.413 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify 1 into 1 13.414 * [backup-simplify]: Simplify (/ 1 1) into 1 13.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 13.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 13.414 * [taylor]: Taking taylor expansion of 2.0 in k 13.414 * [backup-simplify]: Simplify 2.0 into 2.0 13.414 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.414 * [taylor]: Taking taylor expansion of PI in k 13.414 * [backup-simplify]: Simplify PI into PI 13.414 * [taylor]: Taking taylor expansion of n in k 13.414 * [backup-simplify]: Simplify n into n 13.414 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.414 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 13.414 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 13.414 * [backup-simplify]: Simplify (- 1) into -1 13.415 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.415 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.415 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 13.415 * [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))))) 13.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 13.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.415 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 13.415 * [taylor]: Taking taylor expansion of 0.5 in n 13.415 * [backup-simplify]: Simplify 0.5 into 0.5 13.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.415 * [taylor]: Taking taylor expansion of 1.0 in n 13.415 * [backup-simplify]: Simplify 1.0 into 1.0 13.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.416 * [taylor]: Taking taylor expansion of k in n 13.416 * [backup-simplify]: Simplify k into k 13.416 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.416 * [taylor]: Taking taylor expansion of 2.0 in n 13.416 * [backup-simplify]: Simplify 2.0 into 2.0 13.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.416 * [taylor]: Taking taylor expansion of PI in n 13.416 * [backup-simplify]: Simplify PI into PI 13.416 * [taylor]: Taking taylor expansion of n in n 13.416 * [backup-simplify]: Simplify 0 into 0 13.416 * [backup-simplify]: Simplify 1 into 1 13.416 * [backup-simplify]: Simplify (/ PI 1) into PI 13.416 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.417 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.417 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.417 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.417 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 13.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.419 * [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)))) 13.420 * [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))))) 13.420 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 13.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.420 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.420 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 13.420 * [taylor]: Taking taylor expansion of 0.5 in n 13.420 * [backup-simplify]: Simplify 0.5 into 0.5 13.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.420 * [taylor]: Taking taylor expansion of 1.0 in n 13.420 * [backup-simplify]: Simplify 1.0 into 1.0 13.420 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.420 * [taylor]: Taking taylor expansion of k in n 13.420 * [backup-simplify]: Simplify k into k 13.420 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.420 * [taylor]: Taking taylor expansion of 2.0 in n 13.420 * [backup-simplify]: Simplify 2.0 into 2.0 13.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.420 * [taylor]: Taking taylor expansion of PI in n 13.420 * [backup-simplify]: Simplify PI into PI 13.420 * [taylor]: Taking taylor expansion of n in n 13.420 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify 1 into 1 13.420 * [backup-simplify]: Simplify (/ PI 1) into PI 13.421 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.421 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.421 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.421 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.421 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 13.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.423 * [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)))) 13.424 * [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))))) 13.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 13.424 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 13.424 * [taylor]: Taking taylor expansion of 0.5 in k 13.424 * [backup-simplify]: Simplify 0.5 into 0.5 13.424 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 13.424 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 13.424 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.424 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.424 * [taylor]: Taking taylor expansion of 2.0 in k 13.424 * [backup-simplify]: Simplify 2.0 into 2.0 13.424 * [taylor]: Taking taylor expansion of PI in k 13.424 * [backup-simplify]: Simplify PI into PI 13.424 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.425 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.425 * [taylor]: Taking taylor expansion of (log n) in k 13.425 * [taylor]: Taking taylor expansion of n in k 13.425 * [backup-simplify]: Simplify n into n 13.425 * [backup-simplify]: Simplify (log n) into (log n) 13.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.425 * [taylor]: Taking taylor expansion of 1.0 in k 13.425 * [backup-simplify]: Simplify 1.0 into 1.0 13.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.425 * [taylor]: Taking taylor expansion of k in k 13.426 * [backup-simplify]: Simplify 0 into 0 13.426 * [backup-simplify]: Simplify 1 into 1 13.426 * [backup-simplify]: Simplify (/ 1 1) into 1 13.426 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.427 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 13.427 * [backup-simplify]: Simplify (- 1) into -1 13.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.428 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 13.428 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 13.429 * [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))))) 13.430 * [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))))) 13.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.432 * [backup-simplify]: Simplify (- 0) into 0 13.432 * [backup-simplify]: Simplify (+ 0 0) into 0 13.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.434 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.435 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 13.437 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.437 * [taylor]: Taking taylor expansion of 0 in k 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.439 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.442 * [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 13.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.443 * [backup-simplify]: Simplify (- 0) into 0 13.443 * [backup-simplify]: Simplify (+ 0 0) into 0 13.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.447 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 13.450 * [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 13.450 * [taylor]: Taking taylor expansion of 0 in k 13.450 * [backup-simplify]: Simplify 0 into 0 13.450 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 0 into 0 13.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.453 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.459 * [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 13.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.460 * [backup-simplify]: Simplify (- 0) into 0 13.460 * [backup-simplify]: Simplify (+ 0 0) into 0 13.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 13.463 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.465 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 13.468 * [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 13.468 * [taylor]: Taking taylor expansion of 0 in k 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify 0 into 0 13.470 * [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)))) 13.470 * [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))) 13.470 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 13.471 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 13.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 13.471 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.471 * [taylor]: Taking taylor expansion of 0.5 in k 13.471 * [backup-simplify]: Simplify 0.5 into 0.5 13.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.471 * [taylor]: Taking taylor expansion of k in k 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 1 into 1 13.471 * [backup-simplify]: Simplify (/ 1 1) into 1 13.471 * [taylor]: Taking taylor expansion of 1.0 in k 13.471 * [backup-simplify]: Simplify 1.0 into 1.0 13.471 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 13.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 13.471 * [taylor]: Taking taylor expansion of -2.0 in k 13.471 * [backup-simplify]: Simplify -2.0 into -2.0 13.471 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.471 * [taylor]: Taking taylor expansion of PI in k 13.471 * [backup-simplify]: Simplify PI into PI 13.471 * [taylor]: Taking taylor expansion of n in k 13.471 * [backup-simplify]: Simplify n into n 13.471 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.471 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 13.471 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 13.472 * [backup-simplify]: Simplify (+ 1 0) into 1 13.472 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.472 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 13.472 * [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)))))) 13.472 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 13.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 13.472 * [taylor]: Taking taylor expansion of 0.5 in n 13.472 * [backup-simplify]: Simplify 0.5 into 0.5 13.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.472 * [taylor]: Taking taylor expansion of k in n 13.472 * [backup-simplify]: Simplify k into k 13.472 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.472 * [taylor]: Taking taylor expansion of 1.0 in n 13.472 * [backup-simplify]: Simplify 1.0 into 1.0 13.472 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.472 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.472 * [taylor]: Taking taylor expansion of -2.0 in n 13.472 * [backup-simplify]: Simplify -2.0 into -2.0 13.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.473 * [taylor]: Taking taylor expansion of PI in n 13.473 * [backup-simplify]: Simplify PI into PI 13.473 * [taylor]: Taking taylor expansion of n in n 13.473 * [backup-simplify]: Simplify 0 into 0 13.473 * [backup-simplify]: Simplify 1 into 1 13.473 * [backup-simplify]: Simplify (/ PI 1) into PI 13.473 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.474 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.474 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.474 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 13.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.476 * [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)))) 13.480 * [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))))) 13.480 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 13.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.480 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 13.480 * [taylor]: Taking taylor expansion of 0.5 in n 13.480 * [backup-simplify]: Simplify 0.5 into 0.5 13.480 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.480 * [taylor]: Taking taylor expansion of k in n 13.480 * [backup-simplify]: Simplify k into k 13.480 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.480 * [taylor]: Taking taylor expansion of 1.0 in n 13.480 * [backup-simplify]: Simplify 1.0 into 1.0 13.480 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.480 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.480 * [taylor]: Taking taylor expansion of -2.0 in n 13.480 * [backup-simplify]: Simplify -2.0 into -2.0 13.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.480 * [taylor]: Taking taylor expansion of PI in n 13.480 * [backup-simplify]: Simplify PI into PI 13.480 * [taylor]: Taking taylor expansion of n in n 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (/ PI 1) into PI 13.481 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.482 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.482 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.482 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 13.483 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.484 * [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)))) 13.485 * [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))))) 13.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 13.485 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 13.485 * [taylor]: Taking taylor expansion of 0.5 in k 13.485 * [backup-simplify]: Simplify 0.5 into 0.5 13.485 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 13.485 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.485 * [taylor]: Taking taylor expansion of k in k 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify 1 into 1 13.485 * [backup-simplify]: Simplify (/ 1 1) into 1 13.486 * [taylor]: Taking taylor expansion of 1.0 in k 13.486 * [backup-simplify]: Simplify 1.0 into 1.0 13.486 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 13.486 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 13.486 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 13.486 * [taylor]: Taking taylor expansion of -2.0 in k 13.486 * [backup-simplify]: Simplify -2.0 into -2.0 13.486 * [taylor]: Taking taylor expansion of PI in k 13.486 * [backup-simplify]: Simplify PI into PI 13.486 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.487 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.487 * [taylor]: Taking taylor expansion of (log n) in k 13.487 * [taylor]: Taking taylor expansion of n in k 13.487 * [backup-simplify]: Simplify n into n 13.487 * [backup-simplify]: Simplify (log n) into (log n) 13.487 * [backup-simplify]: Simplify (+ 1 0) into 1 13.487 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.488 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 13.488 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 13.489 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 13.490 * [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))))) 13.491 * [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))))) 13.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.492 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 13.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.493 * [backup-simplify]: Simplify (+ 0 0) into 0 13.493 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.494 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.495 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 13.497 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.497 * [taylor]: Taking taylor expansion of 0 in k 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify 0 into 0 13.497 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.499 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.503 * [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 13.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.503 * [backup-simplify]: Simplify (+ 0 0) into 0 13.504 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.506 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.507 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 13.510 * [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 13.510 * [taylor]: Taking taylor expansion of 0 in k 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.512 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.518 * [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 13.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.519 * [backup-simplify]: Simplify (+ 0 0) into 0 13.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.524 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 13.527 * [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 13.527 * [taylor]: Taking taylor expansion of 0 in k 13.527 * [backup-simplify]: Simplify 0 into 0 13.527 * [backup-simplify]: Simplify 0 into 0 13.528 * [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)))))) 13.528 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 13.528 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 13.528 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 13.528 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.529 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.529 * [taylor]: Taking taylor expansion of 1/3 in k 13.529 * [backup-simplify]: Simplify 1/3 into 1/3 13.529 * [taylor]: Taking taylor expansion of (log k) in k 13.529 * [taylor]: Taking taylor expansion of k in k 13.529 * [backup-simplify]: Simplify 0 into 0 13.529 * [backup-simplify]: Simplify 1 into 1 13.529 * [backup-simplify]: Simplify (log 1) into 0 13.530 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.530 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.530 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.530 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.530 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.530 * [taylor]: Taking taylor expansion of 1/3 in k 13.530 * [backup-simplify]: Simplify 1/3 into 1/3 13.530 * [taylor]: Taking taylor expansion of (log k) in k 13.530 * [taylor]: Taking taylor expansion of k in k 13.530 * [backup-simplify]: Simplify 0 into 0 13.530 * [backup-simplify]: Simplify 1 into 1 13.530 * [backup-simplify]: Simplify (log 1) into 0 13.531 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.531 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.531 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.531 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.533 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 13.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.534 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.537 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.540 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.540 * [backup-simplify]: Simplify 0 into 0 13.544 * [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 13.545 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.548 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.548 * [backup-simplify]: Simplify 0 into 0 13.557 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.558 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.562 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.562 * [backup-simplify]: Simplify 0 into 0 13.577 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.578 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.579 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.581 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.581 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.601 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.606 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.606 * [backup-simplify]: Simplify 0 into 0 13.606 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.607 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 13.607 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 13.607 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.607 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.607 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.607 * [taylor]: Taking taylor expansion of 1/3 in k 13.607 * [backup-simplify]: Simplify 1/3 into 1/3 13.607 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.607 * [taylor]: Taking taylor expansion of k in k 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.608 * [backup-simplify]: Simplify (/ 1 1) into 1 13.608 * [backup-simplify]: Simplify (log 1) into 0 13.608 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.608 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.609 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.609 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.609 * [taylor]: Taking taylor expansion of 1/3 in k 13.609 * [backup-simplify]: Simplify 1/3 into 1/3 13.609 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.609 * [taylor]: Taking taylor expansion of k in k 13.609 * [backup-simplify]: Simplify 0 into 0 13.609 * [backup-simplify]: Simplify 1 into 1 13.609 * [backup-simplify]: Simplify (/ 1 1) into 1 13.610 * [backup-simplify]: Simplify (log 1) into 0 13.610 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.610 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.610 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.610 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 13.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.613 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.613 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.613 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.614 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.614 * [backup-simplify]: Simplify 0 into 0 13.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.618 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.620 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.620 * [backup-simplify]: Simplify 0 into 0 13.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.623 * [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 13.623 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.625 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.625 * [backup-simplify]: Simplify 0 into 0 13.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.631 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.631 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.633 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.634 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.634 * [backup-simplify]: Simplify 0 into 0 13.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.643 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.644 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.647 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.647 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.673 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.673 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.676 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.682 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.682 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 13.682 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.682 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 13.682 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.683 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.683 * [taylor]: Taking taylor expansion of 1/3 in k 13.683 * [backup-simplify]: Simplify 1/3 into 1/3 13.683 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.683 * [taylor]: Taking taylor expansion of k in k 13.683 * [backup-simplify]: Simplify 0 into 0 13.683 * [backup-simplify]: Simplify 1 into 1 13.683 * [backup-simplify]: Simplify (/ 1 1) into 1 13.684 * [backup-simplify]: Simplify (log 1) into 0 13.684 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.684 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.684 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.684 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.684 * [taylor]: Taking taylor expansion of -1 in k 13.684 * [backup-simplify]: Simplify -1 into -1 13.685 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.686 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.686 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.686 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.686 * [taylor]: Taking taylor expansion of 1/3 in k 13.686 * [backup-simplify]: Simplify 1/3 into 1/3 13.686 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.686 * [taylor]: Taking taylor expansion of k in k 13.686 * [backup-simplify]: Simplify 0 into 0 13.686 * [backup-simplify]: Simplify 1 into 1 13.686 * [backup-simplify]: Simplify (/ 1 1) into 1 13.687 * [backup-simplify]: Simplify (log 1) into 0 13.687 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.687 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.687 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.687 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.687 * [taylor]: Taking taylor expansion of -1 in k 13.687 * [backup-simplify]: Simplify -1 into -1 13.687 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.688 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.688 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.689 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.690 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.691 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.691 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.692 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 13.692 * [backup-simplify]: Simplify 0 into 0 13.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.695 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.695 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.696 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.697 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 13.697 * [backup-simplify]: Simplify 0 into 0 13.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.701 * [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 13.701 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.706 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.707 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.707 * [backup-simplify]: Simplify 0 into 0 13.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.714 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.714 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.718 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.720 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 13.720 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.734 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.735 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.736 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.739 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.740 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 13.740 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.757 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.758 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.760 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.766 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.768 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 13.768 * [backup-simplify]: Simplify 0 into 0 13.768 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 13.768 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 13.769 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 13.769 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 13.769 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.769 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.769 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.769 * [taylor]: Taking taylor expansion of 1/3 in k 13.769 * [backup-simplify]: Simplify 1/3 into 1/3 13.769 * [taylor]: Taking taylor expansion of (log k) in k 13.769 * [taylor]: Taking taylor expansion of k in k 13.769 * [backup-simplify]: Simplify 0 into 0 13.769 * [backup-simplify]: Simplify 1 into 1 13.769 * [backup-simplify]: Simplify (log 1) into 0 13.770 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.770 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.770 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.770 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 13.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 13.770 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 13.770 * [taylor]: Taking taylor expansion of 1/3 in k 13.770 * [backup-simplify]: Simplify 1/3 into 1/3 13.770 * [taylor]: Taking taylor expansion of (log k) in k 13.770 * [taylor]: Taking taylor expansion of k in k 13.770 * [backup-simplify]: Simplify 0 into 0 13.770 * [backup-simplify]: Simplify 1 into 1 13.771 * [backup-simplify]: Simplify (log 1) into 0 13.771 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.771 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 13.771 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 13.771 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.772 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.773 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 13.773 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.773 * [backup-simplify]: Simplify 0 into 0 13.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.775 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.775 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 13.776 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.776 * [backup-simplify]: Simplify 0 into 0 13.779 * [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 13.779 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 13.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.781 * [backup-simplify]: Simplify 0 into 0 13.786 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.787 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 13.789 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.789 * [backup-simplify]: Simplify 0 into 0 13.801 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.801 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 13.805 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.805 * [backup-simplify]: Simplify 0 into 0 13.831 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.832 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.841 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.841 * [backup-simplify]: Simplify 0 into 0 13.841 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 13.841 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 13.841 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 13.841 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.841 * [taylor]: Taking taylor expansion of 1/3 in k 13.842 * [backup-simplify]: Simplify 1/3 into 1/3 13.842 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.842 * [taylor]: Taking taylor expansion of k in k 13.842 * [backup-simplify]: Simplify 0 into 0 13.842 * [backup-simplify]: Simplify 1 into 1 13.842 * [backup-simplify]: Simplify (/ 1 1) into 1 13.843 * [backup-simplify]: Simplify (log 1) into 0 13.843 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.843 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.843 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.843 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.843 * [taylor]: Taking taylor expansion of 1/3 in k 13.844 * [backup-simplify]: Simplify 1/3 into 1/3 13.844 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.844 * [taylor]: Taking taylor expansion of k in k 13.844 * [backup-simplify]: Simplify 0 into 0 13.844 * [backup-simplify]: Simplify 1 into 1 13.844 * [backup-simplify]: Simplify (/ 1 1) into 1 13.845 * [backup-simplify]: Simplify (log 1) into 0 13.845 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.845 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.845 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.846 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 13.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.848 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.848 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.850 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.850 * [backup-simplify]: Simplify 0 into 0 13.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.854 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.856 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.856 * [backup-simplify]: Simplify 0 into 0 13.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.862 * [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 13.863 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.864 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.866 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.866 * [backup-simplify]: Simplify 0 into 0 13.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.872 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.872 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.873 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.875 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.875 * [backup-simplify]: Simplify 0 into 0 13.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.884 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.884 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.887 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.887 * [backup-simplify]: Simplify 0 into 0 13.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.912 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.912 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.914 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 13.917 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.917 * [backup-simplify]: Simplify 0 into 0 13.917 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 13.917 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.917 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 13.917 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.917 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.917 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.917 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.917 * [taylor]: Taking taylor expansion of 1/3 in k 13.917 * [backup-simplify]: Simplify 1/3 into 1/3 13.917 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.917 * [taylor]: Taking taylor expansion of k in k 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify 1 into 1 13.918 * [backup-simplify]: Simplify (/ 1 1) into 1 13.918 * [backup-simplify]: Simplify (log 1) into 0 13.918 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.919 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.919 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.919 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.919 * [taylor]: Taking taylor expansion of -1 in k 13.919 * [backup-simplify]: Simplify -1 into -1 13.919 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.919 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.919 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 13.919 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 13.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 13.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 13.920 * [taylor]: Taking taylor expansion of 1/3 in k 13.920 * [backup-simplify]: Simplify 1/3 into 1/3 13.920 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 13.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.920 * [taylor]: Taking taylor expansion of k in k 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 1 into 1 13.920 * [backup-simplify]: Simplify (/ 1 1) into 1 13.920 * [backup-simplify]: Simplify (log 1) into 0 13.920 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.921 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 13.921 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 13.921 * [taylor]: Taking taylor expansion of (cbrt -1) in k 13.921 * [taylor]: Taking taylor expansion of -1 in k 13.921 * [backup-simplify]: Simplify -1 into -1 13.921 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 13.921 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 13.922 * [backup-simplify]: Simplify (* (pow k -1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.922 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/3) (cbrt -1)) into (* (pow (/ 1 k) 1/3) (cbrt -1)) 13.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.924 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 13.925 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 13.925 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (* 0 (cbrt -1))) into 0 13.925 * [backup-simplify]: Simplify 0 into 0 13.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.929 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.929 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 13.930 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.931 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0 13.931 * [backup-simplify]: Simplify 0 into 0 13.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.935 * [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 13.935 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.936 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 13.937 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.937 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0 13.937 * [backup-simplify]: Simplify 0 into 0 13.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.944 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 13.945 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.946 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 13.947 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.948 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))) into 0 13.948 * [backup-simplify]: Simplify 0 into 0 13.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 13.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.965 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 13.965 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 13.968 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 13.971 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.973 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))))) into 0 13.973 * [backup-simplify]: Simplify 0 into 0 13.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 13.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.000 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.000 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 14.005 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.006 * [backup-simplify]: Simplify (+ (* (pow k -1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1)))))))) into 0 14.006 * [backup-simplify]: Simplify 0 into 0 14.006 * [backup-simplify]: Simplify (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1)) into (* (pow (* -1 k) 1/3) (cbrt -1)) 14.006 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 14.007 * [backup-simplify]: Simplify (/ (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 14.007 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) in (k) around 0 14.007 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) in k 14.007 * [taylor]: Taking taylor expansion of 1.0 in k 14.007 * [backup-simplify]: Simplify 1.0 into 1.0 14.007 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)) in k 14.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 14.007 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 14.007 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 14.007 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 14.007 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 14.007 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 14.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 14.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.008 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 14.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 14.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 14.008 * [taylor]: Taking taylor expansion of 1/3 in k 14.008 * [backup-simplify]: Simplify 1/3 into 1/3 14.008 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 14.008 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.008 * [taylor]: Taking taylor expansion of k in k 14.008 * [backup-simplify]: Simplify 0 into 0 14.008 * [backup-simplify]: Simplify 1 into 1 14.008 * [backup-simplify]: Simplify (/ 1 1) into 1 14.008 * [backup-simplify]: Simplify (log 1) into 0 14.009 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.009 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 14.009 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 14.009 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) in k 14.009 * [taylor]: Taking taylor expansion of 1.0 in k 14.009 * [backup-simplify]: Simplify 1.0 into 1.0 14.009 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)) in k 14.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow k 1/3)))) in k 14.009 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 14.009 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 14.009 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 14.009 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 14.009 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow k 1/3)))) into (sqrt (/ 1 (fabs (pow k 1/3)))) 14.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 14.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.010 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 14.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 14.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 14.010 * [taylor]: Taking taylor expansion of 1/3 in k 14.010 * [backup-simplify]: Simplify 1/3 into 1/3 14.010 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 14.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 14.010 * [taylor]: Taking taylor expansion of k in k 14.010 * [backup-simplify]: Simplify 0 into 0 14.010 * [backup-simplify]: Simplify 1 into 1 14.010 * [backup-simplify]: Simplify (/ 1 1) into 1 14.010 * [backup-simplify]: Simplify (log 1) into 0 14.011 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.011 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 14.011 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 14.011 * [backup-simplify]: Simplify (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow k -1/3)) into (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)) 14.011 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 14.011 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 14.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.013 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 14.014 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 14.014 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (* 0 (pow k -1/3))) into 0 14.018 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)))) into 0 14.018 * [backup-simplify]: Simplify 0 into 0 14.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.020 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.020 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.021 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 14.022 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.023 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 14.024 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))))) into 0 14.024 * [backup-simplify]: Simplify 0 into 0 14.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.027 * [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 14.028 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.029 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 14.031 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.034 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 14.035 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)))))) into 0 14.035 * [backup-simplify]: Simplify 0 into 0 14.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.046 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 14.047 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 14.051 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.055 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 14.057 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))))))) into 0 14.057 * [backup-simplify]: Simplify 0 into 0 14.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.074 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 14.075 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 14.080 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.084 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 14.086 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3)))))))) into 0 14.086 * [backup-simplify]: Simplify 0 into 0 14.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.111 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.111 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 14.113 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 14.116 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 14.117 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow k 1/3)))))) into 0 14.118 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (fabs (pow k 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 14.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))))))))) into 0 14.120 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) into (* 1.0 (* (sqrt (/ 1 (fabs (pow k 1/3)))) (pow (/ 1 k) 1/3))) 14.121 * [backup-simplify]: Simplify (/ (/ (/ 1.0 (sqrt (fabs (cbrt (/ 1 k))))) (sqrt (sqrt (cbrt (/ 1 k))))) (sqrt (sqrt (/ 1 k)))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 14.121 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in (k) around 0 14.121 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 14.121 * [taylor]: Taking taylor expansion of 1.0 in k 14.121 * [backup-simplify]: Simplify 1.0 into 1.0 14.121 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 14.121 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 14.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 14.121 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 14.121 * [taylor]: Taking taylor expansion of 1/3 in k 14.121 * [backup-simplify]: Simplify 1/3 into 1/3 14.121 * [taylor]: Taking taylor expansion of (log k) in k 14.121 * [taylor]: Taking taylor expansion of k in k 14.121 * [backup-simplify]: Simplify 0 into 0 14.121 * [backup-simplify]: Simplify 1 into 1 14.121 * [backup-simplify]: Simplify (log 1) into 0 14.122 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.122 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 14.122 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 14.122 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 14.122 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 14.122 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 14.122 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 14.122 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 14.122 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 14.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.123 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) in k 14.123 * [taylor]: Taking taylor expansion of 1.0 in k 14.123 * [backup-simplify]: Simplify 1.0 into 1.0 14.123 * [taylor]: Taking taylor expansion of (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 14.123 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 14.123 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 14.123 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 14.123 * [taylor]: Taking taylor expansion of 1/3 in k 14.123 * [backup-simplify]: Simplify 1/3 into 1/3 14.123 * [taylor]: Taking taylor expansion of (log k) in k 14.123 * [taylor]: Taking taylor expansion of k in k 14.123 * [backup-simplify]: Simplify 0 into 0 14.123 * [backup-simplify]: Simplify 1 into 1 14.123 * [backup-simplify]: Simplify (log 1) into 0 14.123 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.123 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 14.123 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 14.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 14.123 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 14.123 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 14.124 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 14.124 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 14.124 * [backup-simplify]: Simplify (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) into (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))) 14.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.124 * [backup-simplify]: Simplify (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) into (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))) 14.125 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 14.125 * [backup-simplify]: Simplify (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into (* 1.0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) 14.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.126 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 14.127 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 14.127 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.128 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 14.128 * [backup-simplify]: Simplify 0 into 0 14.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.130 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.131 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 14.132 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.133 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))) into 0 14.133 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 14.133 * [backup-simplify]: Simplify 0 into 0 14.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.141 * [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 14.142 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.143 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 14.144 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.146 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))) into 0 14.147 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 14.147 * [backup-simplify]: Simplify 0 into 0 14.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.150 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.159 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 14.160 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.162 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 14.164 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.166 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))) into 0 14.167 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 14.167 * [backup-simplify]: Simplify 0 into 0 14.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.177 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 14.177 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 14.181 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 14.182 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))) into 0 14.183 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 14.183 * [backup-simplify]: Simplify 0 into 0 14.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.185 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))) into 0 14.200 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 14.201 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.204 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 14.209 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.211 * [backup-simplify]: Simplify (+ (* (pow k 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3))))))))))) into 0 14.213 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow k 1/3) (sqrt (/ 1 (fabs (pow (/ 1 k) 1/3)))))))))))) into 0 14.213 * [backup-simplify]: Simplify 0 into 0 14.213 * [backup-simplify]: Simplify (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3)))))) into (* 1.0 (* (pow (/ 1 k) 1/3) (sqrt (/ 1 (fabs (pow k 1/3)))))) 14.213 * [backup-simplify]: Simplify (/ (/ (/ 1.0 (sqrt (fabs (cbrt (/ 1 (- k)))))) (sqrt (sqrt (cbrt (/ 1 (- k)))))) (sqrt (sqrt (/ 1 (- k))))) into (* 1.0 (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) 14.214 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in (k) around 0 14.214 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in k 14.214 * [taylor]: Taking taylor expansion of 1.0 in k 14.214 * [backup-simplify]: Simplify 1.0 into 1.0 14.214 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) in k 14.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 14.214 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 14.214 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 14.214 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 14.215 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 14.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.215 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.215 * [taylor]: Taking taylor expansion of -1 in k 14.215 * [backup-simplify]: Simplify -1 into -1 14.215 * [taylor]: Taking taylor expansion of k in k 14.215 * [backup-simplify]: Simplify 0 into 0 14.215 * [backup-simplify]: Simplify 1 into 1 14.215 * [backup-simplify]: Simplify (/ -1 1) into -1 14.215 * [backup-simplify]: Simplify (sqrt 0) into 0 14.216 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.217 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 14.217 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.218 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 14.218 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 14.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.221 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.222 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.223 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 14.224 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 14.224 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) in k 14.224 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 14.224 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 14.224 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 14.224 * [taylor]: Taking taylor expansion of 1/4 in k 14.224 * [backup-simplify]: Simplify 1/4 into 1/4 14.224 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 14.224 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 14.224 * [taylor]: Taking taylor expansion of (cbrt -1) in k 14.224 * [taylor]: Taking taylor expansion of -1 in k 14.224 * [backup-simplify]: Simplify -1 into -1 14.225 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.225 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.226 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 14.227 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 14.229 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 14.231 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 14.231 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 14.231 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 14.231 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 14.231 * [taylor]: Taking taylor expansion of 1/12 in k 14.231 * [backup-simplify]: Simplify 1/12 into 1/12 14.231 * [taylor]: Taking taylor expansion of (log k) in k 14.231 * [taylor]: Taking taylor expansion of k in k 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [backup-simplify]: Simplify 1 into 1 14.231 * [backup-simplify]: Simplify (log 1) into 0 14.231 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.231 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 14.231 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 14.231 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)))) in k 14.231 * [taylor]: Taking taylor expansion of 1.0 in k 14.231 * [backup-simplify]: Simplify 1.0 into 1.0 14.231 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12))) in k 14.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))))) in k 14.232 * [taylor]: Taking taylor expansion of (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k)))) in k 14.232 * [taylor]: Taking taylor expansion of (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (sqrt (/ -1 k))) in k 14.232 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 14.232 * [backup-simplify]: Simplify (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) into (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 14.232 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 14.232 * [taylor]: Taking taylor expansion of (/ -1 k) in k 14.232 * [taylor]: Taking taylor expansion of -1 in k 14.232 * [backup-simplify]: Simplify -1 into -1 14.232 * [taylor]: Taking taylor expansion of k in k 14.232 * [backup-simplify]: Simplify 0 into 0 14.232 * [backup-simplify]: Simplify 1 into 1 14.232 * [backup-simplify]: Simplify (/ -1 1) into -1 14.233 * [backup-simplify]: Simplify (sqrt 0) into 0 14.233 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 14.234 * [backup-simplify]: Simplify (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) 0) into 0 14.235 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (* 0 0)) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.235 * [backup-simplify]: Simplify (/ 1 (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) into (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) 14.235 * [backup-simplify]: Simplify (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) into (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 14.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.238 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.239 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.244 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 14.245 * [backup-simplify]: Simplify (/ (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* 2 (sqrt (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) into (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 14.245 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) in k 14.245 * [taylor]: Taking taylor expansion of (pow (/ 1 (cbrt -1)) 1/4) in k 14.245 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (cbrt -1))))) in k 14.246 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (cbrt -1)))) in k 14.246 * [taylor]: Taking taylor expansion of 1/4 in k 14.246 * [backup-simplify]: Simplify 1/4 into 1/4 14.246 * [taylor]: Taking taylor expansion of (log (/ 1 (cbrt -1))) in k 14.246 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 14.246 * [taylor]: Taking taylor expansion of (cbrt -1) in k 14.246 * [taylor]: Taking taylor expansion of -1 in k 14.246 * [backup-simplify]: Simplify -1 into -1 14.246 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 14.247 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 14.248 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 14.249 * [backup-simplify]: Simplify (log (/ 1 (cbrt -1))) into (log (/ 1 (cbrt -1))) 14.252 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (cbrt -1)))) into (* 1/4 (log (/ 1 (cbrt -1)))) 14.255 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (cbrt -1))))) into (pow (/ 1 (cbrt -1)) 1/4) 14.255 * [taylor]: Taking taylor expansion of (pow k 1/12) in k 14.255 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log k))) in k 14.255 * [taylor]: Taking taylor expansion of (* 1/12 (log k)) in k 14.255 * [taylor]: Taking taylor expansion of 1/12 in k 14.255 * [backup-simplify]: Simplify 1/12 into 1/12 14.255 * [taylor]: Taking taylor expansion of (log k) in k 14.255 * [taylor]: Taking taylor expansion of k in k 14.255 * [backup-simplify]: Simplify 0 into 0 14.255 * [backup-simplify]: Simplify 1 into 1 14.255 * [backup-simplify]: Simplify (log 1) into 0 14.256 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.256 * [backup-simplify]: Simplify (* 1/12 (log k)) into (* 1/12 (log k)) 14.256 * [backup-simplify]: Simplify (exp (* 1/12 (log k))) into (pow k 1/12) 14.257 * [backup-simplify]: Simplify (* (pow (/ 1 (cbrt -1)) 1/4) (pow k 1/12)) into (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)) 14.259 * [backup-simplify]: Simplify (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))) into (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) 14.261 * [backup-simplify]: Simplify (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) 14.263 * [backup-simplify]: Simplify (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) 14.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.264 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.264 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log k))) into 0 14.265 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 14.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 14.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 1) into 0 14.267 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (cbrt -1))))) into 0 14.268 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 1) 1)))) into 0 14.269 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (* 0 (pow k 1/12))) into 0 14.273 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 14.278 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0)))))))) (* 0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4)))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 14.280 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) into (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))) 14.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.282 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 14.283 * [backup-simplify]: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (log k)))) into 0 14.283 * [backup-simplify]: Simplify (* (exp (* 1/12 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 14.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 14.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (cbrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (cbrt -1)) 1)))) 2) into 0 14.288 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (cbrt -1)))))) into 0 14.289 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (cbrt -1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 14.290 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (cbrt -1)) 1/4) 0) (+ (* 0 0) (* 0 (pow k 1/12)))) into 0 14.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 14.297 * [backup-simplify]: Simplify (+ (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) 14.301 * [backup-simplify]: Simplify (- (+ (* (/ +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (* (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (/ (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (- (* +nan.0 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))))) into (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 14.305 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (pow (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))))) into (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 14.314 * [backup-simplify]: Simplify (+ (* (* (sqrt +nan.0) (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) 0) (+ (* (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) 0) (* (* -1/2 (* (/ (+ (* +nan.0 (/ 1 (* (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))))) (sqrt +nan.0)) (sqrt (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 14.329 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0)))))))))) (+ (* 0 (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0)))))))) (* 0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow k 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 14.335 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) into (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow k 1/12) (/ 1 (sqrt +nan.0))))))))) 14.347 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (pow (sqrt +nan.0) 3)))))) (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (sqrt +nan.0))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ 1 (- k)) 1/12) (/ 1 (sqrt +nan.0))))))) (/ 1 (- k))) (* 1.0 (* (sqrt +nan.0) (* (sqrt (/ 1 (fabs (* (pow (/ 1 (/ 1 (- k))) 1/3) (cbrt -1))))) (* (pow (/ 1 (- k)) 1/12) (pow (/ 1 (cbrt -1)) 1/4))))))) into (- (* 1.0 (* (sqrt +nan.0) (* (pow (/ 1 (cbrt -1)) 1/4) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))))) (+ (* +nan.0 (* (pow (/ -1 (pow k 13)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (+ (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (sqrt +nan.0)))))) (- (* +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))) (/ 1 (pow (sqrt +nan.0) 3))))))))))) 14.347 * * * [progress]: simplifying candidates 14.464 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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 (/ (- 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14.730 * * [simplify]: Extracting # 2 : cost 0 14.739 * * [simplify]: Extracting # 3 : cost 0 14.745 * * [simplify]: Extracting # 4 : cost 0 14.751 * * [simplify]: Extracting # 5 : cost 0 14.757 * * [simplify]: Extracting # 6 : cost 0 14.764 * * [simplify]: Extracting # 7 : cost 0 14.773 * * [simplify]: Extracting # 8 : cost 0 14.780 * * [simplify]: Extracting # 9 : cost 0 14.787 * * [simplify]: Extracting # 10 : cost 0 14.793 * * [simplify]: Extracting # 11 : cost 0 14.799 * * [simplify]: Extracting # 12 : cost 0 14.810 * * [simplify]: Extracting # 13 : cost 0 14.822 * * [simplify]: Extracting # 14 : cost 0 14.833 * * [simplify]: Extracting # 15 : cost 0 14.840 * * [simplify]: Extracting # 16 : cost 0 14.846 * * [simplify]: Extracting # 17 : cost 0 14.852 * * [simplify]: Extracting # 18 : cost 0 14.858 * * [simplify]: Extracting # 19 : cost 0 14.874 * * [simplify]: iteration 0 : 2494 enodes (cost 98869 ) 16.354 * * [simplify]: Extracting # 0 : cost 0 16.366 * * [simplify]: Extracting # 1 : cost 0 16.375 * * [simplify]: Extracting # 2 : cost 0 16.391 * * [simplify]: Extracting # 3 : cost 0 16.400 * * [simplify]: Extracting # 4 : cost 0 16.409 * * [simplify]: Extracting # 5 : cost 0 16.417 * * [simplify]: Extracting # 6 : cost 0 16.433 * * [simplify]: Extracting # 7 : cost 0 16.451 * * [simplify]: Extracting # 8 : cost 0 16.468 * * [simplify]: Extracting # 9 : cost 0 16.480 * * [simplify]: iteration done: 5000 enodes (cost 91452 ) 16.518 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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 (/ (- 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(sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt 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(cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (cbrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (sqrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (sqrt (cbrt k)))))) (/ (sqrt (sqrt k)) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt (cbrt k))))) (* (sqrt (sqrt k)) (sqrt (sqrt (cbrt k)))) (- (fma 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (log (* (* 2.0 PI) n)))))) (fma 0.125 (* (* (pow k 2) (exp (* 0.5 (log (* (* 2.0 PI) n))))) (pow (log n) 2)) (fma 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (log (* (* 2.0 PI) n)))) (log n)))) (exp (* 0.5 (log (* (* 2.0 PI) n))))))) (* 0.5 (+ (* k (* (log (* 2.0 PI)) (exp (* 0.5 (log (* (* 2.0 PI) n)))))) (* k (* (exp (* 0.5 (log (* (* 2.0 PI) n)))) (log n)))))) (pow (exp 0.5) (* (- (log (* 2.0 PI)) (- (log n))) (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (* (* 1.0 (sqrt (/ 1 (fabs (cbrt k))))) (cbrt (/ 1 k))) (* (* 1.0 (cbrt (/ 1 k))) (sqrt (/ 1 (fabs (cbrt k))))) (- (* 1.0 (* (* (sqrt +nan.0) (pow (/ 1 (cbrt -1)) 1/4)) (* (pow (/ -1 k) 1/12) (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1)))))))) (fma +nan.0 (* (* (pow (/ -1 (pow k 13)) 1/12) (pow (/ 1 (cbrt -1)) 1/4)) (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (/ 1 (sqrt +nan.0)))) (- (fma +nan.0 (* (pow (/ -1 (pow k 25)) 1/12) (* (pow (/ 1 (cbrt -1)) 1/4) (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (/ 1 (sqrt +nan.0))))) (* +nan.0 (- (* (* (pow (/ -1 (pow k 25)) 1/12) (pow (/ 1 (cbrt -1)) 1/4)) (* (sqrt (/ 1 (fabs (* (cbrt (- k)) (cbrt -1))))) (/ 1 (pow (sqrt +nan.0) 3)))))))))) 16.557 * * * [progress]: adding candidates to table 32.227 * * [progress]: iteration 4 / 4 32.227 * * * [progress]: picking best candidate 32.279 * * * * [pick]: Picked # 32.279 * * * [progress]: localizing error 32.317 * * * [progress]: generating rewritten candidates 32.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 32.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 32.374 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 32.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 32.434 * * * [progress]: generating series expansions 32.434 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 32.435 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 32.435 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 32.435 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 32.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 32.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 32.435 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 32.435 * [taylor]: Taking taylor expansion of 0.5 in k 32.435 * [backup-simplify]: Simplify 0.5 into 0.5 32.435 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 32.435 * [taylor]: Taking taylor expansion of 1.0 in k 32.435 * [backup-simplify]: Simplify 1.0 into 1.0 32.435 * [taylor]: Taking taylor expansion of k in k 32.435 * [backup-simplify]: Simplify 0 into 0 32.435 * [backup-simplify]: Simplify 1 into 1 32.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 32.435 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 32.435 * [taylor]: Taking taylor expansion of 2.0 in k 32.435 * [backup-simplify]: Simplify 2.0 into 2.0 32.435 * [taylor]: Taking taylor expansion of (* n PI) in k 32.436 * [taylor]: Taking taylor expansion of n in k 32.436 * [backup-simplify]: Simplify n into n 32.436 * [taylor]: Taking taylor expansion of PI in k 32.436 * [backup-simplify]: Simplify PI into PI 32.436 * [backup-simplify]: Simplify (* n PI) into (* n PI) 32.436 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 32.436 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 32.436 * [backup-simplify]: Simplify (- 0) into 0 32.437 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 32.437 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 32.437 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 32.437 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 32.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 32.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 32.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 32.438 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 32.438 * [taylor]: Taking taylor expansion of 0.5 in n 32.438 * [backup-simplify]: Simplify 0.5 into 0.5 32.438 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 32.438 * [taylor]: Taking taylor expansion of 1.0 in n 32.438 * [backup-simplify]: Simplify 1.0 into 1.0 32.438 * [taylor]: Taking taylor expansion of k in n 32.438 * [backup-simplify]: Simplify k into k 32.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 32.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 32.438 * [taylor]: Taking taylor expansion of 2.0 in n 32.438 * [backup-simplify]: Simplify 2.0 into 2.0 32.438 * [taylor]: Taking taylor expansion of (* n PI) in n 32.438 * [taylor]: Taking taylor expansion of n in n 32.438 * [backup-simplify]: Simplify 0 into 0 32.438 * [backup-simplify]: Simplify 1 into 1 32.438 * [taylor]: Taking taylor expansion of PI in n 32.438 * [backup-simplify]: Simplify PI into PI 32.439 * [backup-simplify]: Simplify (* 0 PI) into 0 32.439 * [backup-simplify]: Simplify (* 2.0 0) into 0 32.440 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 32.442 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 32.443 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 32.443 * [backup-simplify]: Simplify (- k) into (- k) 32.443 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 32.443 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 32.445 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 32.446 * [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)))) 32.447 * [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))))) 32.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 32.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 32.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 32.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 32.447 * [taylor]: Taking taylor expansion of 0.5 in n 32.447 * [backup-simplify]: Simplify 0.5 into 0.5 32.447 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 32.448 * [taylor]: Taking taylor expansion of 1.0 in n 32.448 * [backup-simplify]: Simplify 1.0 into 1.0 32.448 * [taylor]: Taking taylor expansion of k in n 32.448 * [backup-simplify]: Simplify k into k 32.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 32.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 32.448 * [taylor]: Taking taylor expansion of 2.0 in n 32.448 * [backup-simplify]: Simplify 2.0 into 2.0 32.448 * [taylor]: Taking taylor expansion of (* n PI) in n 32.448 * [taylor]: Taking taylor expansion of n in n 32.448 * [backup-simplify]: Simplify 0 into 0 32.448 * [backup-simplify]: Simplify 1 into 1 32.448 * [taylor]: Taking taylor expansion of PI in n 32.448 * [backup-simplify]: Simplify PI into PI 32.448 * [backup-simplify]: Simplify (* 0 PI) into 0 32.449 * [backup-simplify]: Simplify (* 2.0 0) into 0 32.450 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 32.452 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 32.453 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 32.453 * [backup-simplify]: Simplify (- k) into (- k) 32.453 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 32.453 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 32.455 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 32.456 * [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)))) 32.457 * [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))))) 32.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 32.457 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 32.457 * [taylor]: Taking taylor expansion of 0.5 in k 32.457 * [backup-simplify]: Simplify 0.5 into 0.5 32.458 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 32.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 32.458 * [taylor]: Taking taylor expansion of 1.0 in k 32.458 * [backup-simplify]: Simplify 1.0 into 1.0 32.458 * [taylor]: Taking taylor expansion of k in k 32.458 * [backup-simplify]: Simplify 0 into 0 32.458 * [backup-simplify]: Simplify 1 into 1 32.458 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 32.458 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 32.458 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 32.458 * [taylor]: Taking taylor expansion of 2.0 in k 32.458 * [backup-simplify]: Simplify 2.0 into 2.0 32.458 * [taylor]: Taking taylor expansion of PI in k 32.458 * [backup-simplify]: Simplify PI into PI 32.459 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.460 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 32.460 * [taylor]: Taking taylor expansion of (log n) in k 32.460 * [taylor]: Taking taylor expansion of n in k 32.460 * [backup-simplify]: Simplify n into n 32.460 * [backup-simplify]: Simplify (log n) into (log n) 32.461 * [backup-simplify]: Simplify (- 0) into 0 32.461 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 32.462 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 32.463 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 32.464 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 32.466 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 32.467 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 32.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 32.469 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 32.470 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 32.471 * [backup-simplify]: Simplify (- 0) into 0 32.471 * [backup-simplify]: Simplify (+ 0 0) into 0 32.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 32.473 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 32.474 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 32.476 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 32.476 * [taylor]: Taking taylor expansion of 0 in k 32.476 * [backup-simplify]: Simplify 0 into 0 32.476 * [backup-simplify]: Simplify 0 into 0 32.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 32.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 32.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 32.480 * [backup-simplify]: Simplify (+ 0 0) into 0 32.480 * [backup-simplify]: Simplify (- 1) into -1 32.481 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 32.484 * [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)))) 32.488 * [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)))))) 32.491 * [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)))))) 32.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 32.493 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 32.497 * [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 32.497 * [backup-simplify]: Simplify (- 0) into 0 32.498 * [backup-simplify]: Simplify (+ 0 0) into 0 32.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 32.500 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 32.501 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 32.504 * [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 32.504 * [taylor]: Taking taylor expansion of 0 in k 32.504 * [backup-simplify]: Simplify 0 into 0 32.504 * [backup-simplify]: Simplify 0 into 0 32.504 * [backup-simplify]: Simplify 0 into 0 32.505 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 32.508 * [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 32.510 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 32.511 * [backup-simplify]: Simplify (+ 0 0) into 0 32.511 * [backup-simplify]: Simplify (- 0) into 0 32.511 * [backup-simplify]: Simplify (+ 0 0) into 0 32.513 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 32.516 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 32.520 * [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)))))) 32.525 * [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)))))) 32.535 * [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)))))) 32.536 * [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)))) 32.536 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 32.536 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 32.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 32.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 32.536 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 32.536 * [taylor]: Taking taylor expansion of 0.5 in k 32.536 * [backup-simplify]: Simplify 0.5 into 0.5 32.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 32.536 * [taylor]: Taking taylor expansion of 1.0 in k 32.537 * [backup-simplify]: Simplify 1.0 into 1.0 32.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.537 * [taylor]: Taking taylor expansion of k in k 32.537 * [backup-simplify]: Simplify 0 into 0 32.537 * [backup-simplify]: Simplify 1 into 1 32.537 * [backup-simplify]: Simplify (/ 1 1) into 1 32.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 32.537 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 32.537 * [taylor]: Taking taylor expansion of 2.0 in k 32.537 * [backup-simplify]: Simplify 2.0 into 2.0 32.537 * [taylor]: Taking taylor expansion of (/ PI n) in k 32.537 * [taylor]: Taking taylor expansion of PI in k 32.538 * [backup-simplify]: Simplify PI into PI 32.538 * [taylor]: Taking taylor expansion of n in k 32.538 * [backup-simplify]: Simplify n into n 32.538 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 32.538 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 32.538 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 32.538 * [backup-simplify]: Simplify (- 1) into -1 32.539 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.539 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 32.539 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 32.539 * [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))))) 32.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 32.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 32.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 32.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 32.539 * [taylor]: Taking taylor expansion of 0.5 in n 32.539 * [backup-simplify]: Simplify 0.5 into 0.5 32.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 32.539 * [taylor]: Taking taylor expansion of 1.0 in n 32.539 * [backup-simplify]: Simplify 1.0 into 1.0 32.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 32.539 * [taylor]: Taking taylor expansion of k in n 32.539 * [backup-simplify]: Simplify k into k 32.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 32.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 32.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 32.539 * [taylor]: Taking taylor expansion of 2.0 in n 32.539 * [backup-simplify]: Simplify 2.0 into 2.0 32.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.539 * [taylor]: Taking taylor expansion of PI in n 32.539 * [backup-simplify]: Simplify PI into PI 32.540 * [taylor]: Taking taylor expansion of n in n 32.540 * [backup-simplify]: Simplify 0 into 0 32.540 * [backup-simplify]: Simplify 1 into 1 32.540 * [backup-simplify]: Simplify (/ PI 1) into PI 32.540 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.541 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 32.541 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 32.541 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 32.541 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 32.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 32.543 * [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)))) 32.543 * [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))))) 32.543 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 32.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 32.544 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 32.544 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 32.544 * [taylor]: Taking taylor expansion of 0.5 in n 32.544 * [backup-simplify]: Simplify 0.5 into 0.5 32.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 32.544 * [taylor]: Taking taylor expansion of 1.0 in n 32.544 * [backup-simplify]: Simplify 1.0 into 1.0 32.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 32.544 * [taylor]: Taking taylor expansion of k in n 32.544 * [backup-simplify]: Simplify k into k 32.544 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 32.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 32.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 32.544 * [taylor]: Taking taylor expansion of 2.0 in n 32.544 * [backup-simplify]: Simplify 2.0 into 2.0 32.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.544 * [taylor]: Taking taylor expansion of PI in n 32.544 * [backup-simplify]: Simplify PI into PI 32.544 * [taylor]: Taking taylor expansion of n in n 32.544 * [backup-simplify]: Simplify 0 into 0 32.544 * [backup-simplify]: Simplify 1 into 1 32.544 * [backup-simplify]: Simplify (/ PI 1) into PI 32.544 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.545 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 32.545 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 32.545 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 32.545 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 32.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 32.547 * [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)))) 32.548 * [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))))) 32.548 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 32.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 32.548 * [taylor]: Taking taylor expansion of 0.5 in k 32.548 * [backup-simplify]: Simplify 0.5 into 0.5 32.548 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 32.548 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 32.548 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 32.548 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 32.548 * [taylor]: Taking taylor expansion of 2.0 in k 32.548 * [backup-simplify]: Simplify 2.0 into 2.0 32.548 * [taylor]: Taking taylor expansion of PI in k 32.548 * [backup-simplify]: Simplify PI into PI 32.548 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.549 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 32.549 * [taylor]: Taking taylor expansion of (log n) in k 32.549 * [taylor]: Taking taylor expansion of n in k 32.549 * [backup-simplify]: Simplify n into n 32.549 * [backup-simplify]: Simplify (log n) into (log n) 32.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 32.549 * [taylor]: Taking taylor expansion of 1.0 in k 32.549 * [backup-simplify]: Simplify 1.0 into 1.0 32.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.549 * [taylor]: Taking taylor expansion of k in k 32.549 * [backup-simplify]: Simplify 0 into 0 32.549 * [backup-simplify]: Simplify 1 into 1 32.549 * [backup-simplify]: Simplify (/ 1 1) into 1 32.549 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 32.550 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 32.551 * [backup-simplify]: Simplify (- 1) into -1 32.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 32.552 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 32.553 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 32.554 * [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))))) 32.555 * [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))))) 32.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 32.566 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 32.567 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 32.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 32.568 * [backup-simplify]: Simplify (- 0) into 0 32.568 * [backup-simplify]: Simplify (+ 0 0) into 0 32.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 32.570 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 32.571 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 32.574 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 32.574 * [taylor]: Taking taylor expansion of 0 in k 32.574 * [backup-simplify]: Simplify 0 into 0 32.574 * [backup-simplify]: Simplify 0 into 0 32.574 * [backup-simplify]: Simplify 0 into 0 32.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 32.579 * [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 32.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 32.580 * [backup-simplify]: Simplify (- 0) into 0 32.580 * [backup-simplify]: Simplify (+ 0 0) into 0 32.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 32.582 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 32.584 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 32.586 * [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 32.586 * [taylor]: Taking taylor expansion of 0 in k 32.586 * [backup-simplify]: Simplify 0 into 0 32.586 * [backup-simplify]: Simplify 0 into 0 32.586 * [backup-simplify]: Simplify 0 into 0 32.587 * [backup-simplify]: Simplify 0 into 0 32.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 32.594 * [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 32.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 32.595 * [backup-simplify]: Simplify (- 0) into 0 32.595 * [backup-simplify]: Simplify (+ 0 0) into 0 32.596 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 32.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 32.599 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 32.602 * [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 32.602 * [taylor]: Taking taylor expansion of 0 in k 32.602 * [backup-simplify]: Simplify 0 into 0 32.602 * [backup-simplify]: Simplify 0 into 0 32.603 * [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)))) 32.604 * [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))) 32.604 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 32.604 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 32.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 32.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 32.605 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 32.605 * [taylor]: Taking taylor expansion of 0.5 in k 32.605 * [backup-simplify]: Simplify 0.5 into 0.5 32.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 32.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.605 * [taylor]: Taking taylor expansion of k in k 32.605 * [backup-simplify]: Simplify 0 into 0 32.605 * [backup-simplify]: Simplify 1 into 1 32.605 * [backup-simplify]: Simplify (/ 1 1) into 1 32.605 * [taylor]: Taking taylor expansion of 1.0 in k 32.605 * [backup-simplify]: Simplify 1.0 into 1.0 32.605 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 32.605 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 32.605 * [taylor]: Taking taylor expansion of -2.0 in k 32.605 * [backup-simplify]: Simplify -2.0 into -2.0 32.605 * [taylor]: Taking taylor expansion of (/ PI n) in k 32.605 * [taylor]: Taking taylor expansion of PI in k 32.605 * [backup-simplify]: Simplify PI into PI 32.605 * [taylor]: Taking taylor expansion of n in k 32.605 * [backup-simplify]: Simplify n into n 32.605 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 32.606 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 32.606 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 32.606 * [backup-simplify]: Simplify (+ 1 0) into 1 32.606 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 32.607 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 32.607 * [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)))))) 32.607 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 32.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 32.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 32.607 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 32.607 * [taylor]: Taking taylor expansion of 0.5 in n 32.607 * [backup-simplify]: Simplify 0.5 into 0.5 32.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 32.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 32.607 * [taylor]: Taking taylor expansion of k in n 32.607 * [backup-simplify]: Simplify k into k 32.607 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 32.607 * [taylor]: Taking taylor expansion of 1.0 in n 32.607 * [backup-simplify]: Simplify 1.0 into 1.0 32.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 32.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 32.607 * [taylor]: Taking taylor expansion of -2.0 in n 32.607 * [backup-simplify]: Simplify -2.0 into -2.0 32.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.608 * [taylor]: Taking taylor expansion of PI in n 32.608 * [backup-simplify]: Simplify PI into PI 32.608 * [taylor]: Taking taylor expansion of n in n 32.608 * [backup-simplify]: Simplify 0 into 0 32.608 * [backup-simplify]: Simplify 1 into 1 32.608 * [backup-simplify]: Simplify (/ PI 1) into PI 32.609 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 32.610 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 32.610 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 32.610 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 32.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 32.612 * [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)))) 32.612 * [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))))) 32.612 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 32.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 32.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 32.612 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 32.612 * [taylor]: Taking taylor expansion of 0.5 in n 32.612 * [backup-simplify]: Simplify 0.5 into 0.5 32.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 32.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 32.613 * [taylor]: Taking taylor expansion of k in n 32.613 * [backup-simplify]: Simplify k into k 32.613 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 32.613 * [taylor]: Taking taylor expansion of 1.0 in n 32.613 * [backup-simplify]: Simplify 1.0 into 1.0 32.613 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 32.613 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 32.613 * [taylor]: Taking taylor expansion of -2.0 in n 32.613 * [backup-simplify]: Simplify -2.0 into -2.0 32.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.613 * [taylor]: Taking taylor expansion of PI in n 32.613 * [backup-simplify]: Simplify PI into PI 32.613 * [taylor]: Taking taylor expansion of n in n 32.613 * [backup-simplify]: Simplify 0 into 0 32.613 * [backup-simplify]: Simplify 1 into 1 32.613 * [backup-simplify]: Simplify (/ PI 1) into PI 32.613 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 32.614 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 32.614 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 32.614 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 32.615 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 32.616 * [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)))) 32.617 * [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))))) 32.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 32.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 32.617 * [taylor]: Taking taylor expansion of 0.5 in k 32.617 * [backup-simplify]: Simplify 0.5 into 0.5 32.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 32.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 32.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.617 * [taylor]: Taking taylor expansion of k in k 32.617 * [backup-simplify]: Simplify 0 into 0 32.617 * [backup-simplify]: Simplify 1 into 1 32.617 * [backup-simplify]: Simplify (/ 1 1) into 1 32.617 * [taylor]: Taking taylor expansion of 1.0 in k 32.617 * [backup-simplify]: Simplify 1.0 into 1.0 32.617 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 32.617 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 32.617 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 32.617 * [taylor]: Taking taylor expansion of -2.0 in k 32.617 * [backup-simplify]: Simplify -2.0 into -2.0 32.617 * [taylor]: Taking taylor expansion of PI in k 32.617 * [backup-simplify]: Simplify PI into PI 32.618 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 32.618 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 32.618 * [taylor]: Taking taylor expansion of (log n) in k 32.618 * [taylor]: Taking taylor expansion of n in k 32.618 * [backup-simplify]: Simplify n into n 32.618 * [backup-simplify]: Simplify (log n) into (log n) 32.619 * [backup-simplify]: Simplify (+ 1 0) into 1 32.619 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 32.619 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 32.620 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 32.621 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 32.621 * [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))))) 32.622 * [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))))) 32.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 32.623 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 32.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 32.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 32.625 * [backup-simplify]: Simplify (+ 0 0) into 0 32.625 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 32.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 32.627 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 32.628 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 32.628 * [taylor]: Taking taylor expansion of 0 in k 32.628 * [backup-simplify]: Simplify 0 into 0 32.628 * [backup-simplify]: Simplify 0 into 0 32.628 * [backup-simplify]: Simplify 0 into 0 32.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.629 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 32.631 * [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 32.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 32.631 * [backup-simplify]: Simplify (+ 0 0) into 0 32.632 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 32.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 32.634 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 32.636 * [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 32.636 * [taylor]: Taking taylor expansion of 0 in k 32.636 * [backup-simplify]: Simplify 0 into 0 32.636 * [backup-simplify]: Simplify 0 into 0 32.636 * [backup-simplify]: Simplify 0 into 0 32.636 * [backup-simplify]: Simplify 0 into 0 32.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.637 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 32.641 * [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 32.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 32.642 * [backup-simplify]: Simplify (+ 0 0) into 0 32.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 32.645 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 32.647 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 32.649 * [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 32.650 * [taylor]: Taking taylor expansion of 0 in k 32.650 * [backup-simplify]: Simplify 0 into 0 32.650 * [backup-simplify]: Simplify 0 into 0 32.651 * [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)))))) 32.651 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 32.651 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 32.651 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 32.651 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 32.651 * [taylor]: Taking taylor expansion of 1.0 in k 32.651 * [backup-simplify]: Simplify 1.0 into 1.0 32.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 32.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.651 * [taylor]: Taking taylor expansion of k in k 32.651 * [backup-simplify]: Simplify 0 into 0 32.651 * [backup-simplify]: Simplify 1 into 1 32.652 * [backup-simplify]: Simplify (/ 1 1) into 1 32.652 * [backup-simplify]: Simplify (sqrt 0) into 0 32.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.654 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 32.654 * [taylor]: Taking taylor expansion of 1.0 in k 32.654 * [backup-simplify]: Simplify 1.0 into 1.0 32.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 32.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.654 * [taylor]: Taking taylor expansion of k in k 32.654 * [backup-simplify]: Simplify 0 into 0 32.654 * [backup-simplify]: Simplify 1 into 1 32.654 * [backup-simplify]: Simplify (/ 1 1) into 1 32.655 * [backup-simplify]: Simplify (sqrt 0) into 0 32.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.657 * [backup-simplify]: Simplify (* 1.0 0) into 0 32.657 * [backup-simplify]: Simplify 0 into 0 32.658 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 32.659 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.661 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.662 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 32.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.666 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 32.667 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.668 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 32.668 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 32.668 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 32.668 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 32.668 * [taylor]: Taking taylor expansion of 1.0 in k 32.668 * [backup-simplify]: Simplify 1.0 into 1.0 32.668 * [taylor]: Taking taylor expansion of (sqrt k) in k 32.668 * [taylor]: Taking taylor expansion of k in k 32.668 * [backup-simplify]: Simplify 0 into 0 32.668 * [backup-simplify]: Simplify 1 into 1 32.668 * [backup-simplify]: Simplify (sqrt 0) into 0 32.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.669 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 32.669 * [taylor]: Taking taylor expansion of 1.0 in k 32.669 * [backup-simplify]: Simplify 1.0 into 1.0 32.669 * [taylor]: Taking taylor expansion of (sqrt k) in k 32.669 * [taylor]: Taking taylor expansion of k in k 32.669 * [backup-simplify]: Simplify 0 into 0 32.669 * [backup-simplify]: Simplify 1 into 1 32.669 * [backup-simplify]: Simplify (sqrt 0) into 0 32.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.670 * [backup-simplify]: Simplify (* 1.0 0) into 0 32.670 * [backup-simplify]: Simplify 0 into 0 32.671 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 32.671 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.673 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.674 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 32.675 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.685 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 32.686 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.687 * [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)))))))) 32.687 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 32.687 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 32.687 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 32.687 * [taylor]: Taking taylor expansion of 1.0 in k 32.687 * [backup-simplify]: Simplify 1.0 into 1.0 32.687 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 32.687 * [taylor]: Taking taylor expansion of (/ -1 k) in k 32.687 * [taylor]: Taking taylor expansion of -1 in k 32.687 * [backup-simplify]: Simplify -1 into -1 32.687 * [taylor]: Taking taylor expansion of k in k 32.687 * [backup-simplify]: Simplify 0 into 0 32.687 * [backup-simplify]: Simplify 1 into 1 32.687 * [backup-simplify]: Simplify (/ -1 1) into -1 32.688 * [backup-simplify]: Simplify (sqrt 0) into 0 32.688 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 32.689 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 32.689 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 32.689 * [taylor]: Taking taylor expansion of 1.0 in k 32.689 * [backup-simplify]: Simplify 1.0 into 1.0 32.689 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 32.689 * [taylor]: Taking taylor expansion of (/ -1 k) in k 32.689 * [taylor]: Taking taylor expansion of -1 in k 32.689 * [backup-simplify]: Simplify -1 into -1 32.689 * [taylor]: Taking taylor expansion of k in k 32.689 * [backup-simplify]: Simplify 0 into 0 32.689 * [backup-simplify]: Simplify 1 into 1 32.689 * [backup-simplify]: Simplify (/ -1 1) into -1 32.689 * [backup-simplify]: Simplify (sqrt 0) into 0 32.690 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 32.690 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 32.690 * [backup-simplify]: Simplify +nan.0 into +nan.0 32.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 32.693 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.694 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 32.695 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.703 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 32.704 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.705 * [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))))) 32.705 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 32.705 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 32.705 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 32.705 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 32.705 * [taylor]: Taking taylor expansion of 1.0 in k 32.705 * [backup-simplify]: Simplify 1.0 into 1.0 32.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 32.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.705 * [taylor]: Taking taylor expansion of k in k 32.705 * [backup-simplify]: Simplify 0 into 0 32.705 * [backup-simplify]: Simplify 1 into 1 32.706 * [backup-simplify]: Simplify (/ 1 1) into 1 32.706 * [backup-simplify]: Simplify (sqrt 0) into 0 32.707 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.707 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 32.707 * [taylor]: Taking taylor expansion of 1.0 in k 32.707 * [backup-simplify]: Simplify 1.0 into 1.0 32.707 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 32.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 32.708 * [taylor]: Taking taylor expansion of k in k 32.708 * [backup-simplify]: Simplify 0 into 0 32.708 * [backup-simplify]: Simplify 1 into 1 32.708 * [backup-simplify]: Simplify (/ 1 1) into 1 32.708 * [backup-simplify]: Simplify (sqrt 0) into 0 32.709 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.710 * [backup-simplify]: Simplify (* 1.0 0) into 0 32.710 * [backup-simplify]: Simplify 0 into 0 32.711 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 32.711 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 32.715 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.717 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 32.717 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.723 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 32.724 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.725 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 32.725 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 32.725 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 32.725 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 32.725 * [taylor]: Taking taylor expansion of 1.0 in k 32.725 * [backup-simplify]: Simplify 1.0 into 1.0 32.725 * [taylor]: Taking taylor expansion of (sqrt k) in k 32.725 * [taylor]: Taking taylor expansion of k in k 32.725 * [backup-simplify]: Simplify 0 into 0 32.725 * [backup-simplify]: Simplify 1 into 1 32.726 * [backup-simplify]: Simplify (sqrt 0) into 0 32.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.727 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 32.727 * [taylor]: Taking taylor expansion of 1.0 in k 32.727 * [backup-simplify]: Simplify 1.0 into 1.0 32.727 * [taylor]: Taking taylor expansion of (sqrt k) in k 32.727 * [taylor]: Taking taylor expansion of k in k 32.727 * [backup-simplify]: Simplify 0 into 0 32.727 * [backup-simplify]: Simplify 1 into 1 32.728 * [backup-simplify]: Simplify (sqrt 0) into 0 32.729 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 32.729 * [backup-simplify]: Simplify (* 1.0 0) into 0 32.729 * [backup-simplify]: Simplify 0 into 0 32.731 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 32.731 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.734 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.736 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 32.736 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.742 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 32.742 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.744 * [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)))))))) 32.744 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 32.744 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 32.744 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 32.744 * [taylor]: Taking taylor expansion of 1.0 in k 32.744 * [backup-simplify]: Simplify 1.0 into 1.0 32.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 32.745 * [taylor]: Taking taylor expansion of (/ -1 k) in k 32.745 * [taylor]: Taking taylor expansion of -1 in k 32.745 * [backup-simplify]: Simplify -1 into -1 32.745 * [taylor]: Taking taylor expansion of k in k 32.745 * [backup-simplify]: Simplify 0 into 0 32.745 * [backup-simplify]: Simplify 1 into 1 32.745 * [backup-simplify]: Simplify (/ -1 1) into -1 32.745 * [backup-simplify]: Simplify (sqrt 0) into 0 32.747 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 32.747 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 32.747 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 32.747 * [taylor]: Taking taylor expansion of 1.0 in k 32.747 * [backup-simplify]: Simplify 1.0 into 1.0 32.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 32.747 * [taylor]: Taking taylor expansion of (/ -1 k) in k 32.747 * [taylor]: Taking taylor expansion of -1 in k 32.747 * [backup-simplify]: Simplify -1 into -1 32.747 * [taylor]: Taking taylor expansion of k in k 32.747 * [backup-simplify]: Simplify 0 into 0 32.747 * [backup-simplify]: Simplify 1 into 1 32.747 * [backup-simplify]: Simplify (/ -1 1) into -1 32.748 * [backup-simplify]: Simplify (sqrt 0) into 0 32.748 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 32.749 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 32.749 * [backup-simplify]: Simplify +nan.0 into +nan.0 32.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 32.751 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 32.753 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 32.753 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 32.758 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 32.758 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 32.759 * [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))))) 32.759 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 32.760 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 32.760 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 32.760 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 32.760 * [taylor]: Taking taylor expansion of 2.0 in n 32.760 * [backup-simplify]: Simplify 2.0 into 2.0 32.760 * [taylor]: Taking taylor expansion of (* n PI) in n 32.760 * [taylor]: Taking taylor expansion of n in n 32.760 * [backup-simplify]: Simplify 0 into 0 32.760 * [backup-simplify]: Simplify 1 into 1 32.760 * [taylor]: Taking taylor expansion of PI in n 32.760 * [backup-simplify]: Simplify PI into PI 32.760 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 32.760 * [taylor]: Taking taylor expansion of 2.0 in n 32.760 * [backup-simplify]: Simplify 2.0 into 2.0 32.760 * [taylor]: Taking taylor expansion of (* n PI) in n 32.760 * [taylor]: Taking taylor expansion of n in n 32.760 * [backup-simplify]: Simplify 0 into 0 32.760 * [backup-simplify]: Simplify 1 into 1 32.760 * [taylor]: Taking taylor expansion of PI in n 32.760 * [backup-simplify]: Simplify PI into PI 32.760 * [backup-simplify]: Simplify (* 0 PI) into 0 32.760 * [backup-simplify]: Simplify (* 2.0 0) into 0 32.761 * [backup-simplify]: Simplify 0 into 0 32.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 32.762 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 32.763 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 32.764 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 32.764 * [backup-simplify]: Simplify 0 into 0 32.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 32.765 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 32.765 * [backup-simplify]: Simplify 0 into 0 32.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 32.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 32.767 * [backup-simplify]: Simplify 0 into 0 32.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 32.768 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 32.769 * [backup-simplify]: Simplify 0 into 0 32.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 32.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 32.770 * [backup-simplify]: Simplify 0 into 0 32.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 32.772 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 32.772 * [backup-simplify]: Simplify 0 into 0 32.773 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 32.773 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 32.773 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 32.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 32.773 * [taylor]: Taking taylor expansion of 2.0 in n 32.773 * [backup-simplify]: Simplify 2.0 into 2.0 32.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.773 * [taylor]: Taking taylor expansion of PI in n 32.773 * [backup-simplify]: Simplify PI into PI 32.773 * [taylor]: Taking taylor expansion of n in n 32.773 * [backup-simplify]: Simplify 0 into 0 32.773 * [backup-simplify]: Simplify 1 into 1 32.774 * [backup-simplify]: Simplify (/ PI 1) into PI 32.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 32.774 * [taylor]: Taking taylor expansion of 2.0 in n 32.774 * [backup-simplify]: Simplify 2.0 into 2.0 32.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.774 * [taylor]: Taking taylor expansion of PI in n 32.774 * [backup-simplify]: Simplify PI into PI 32.774 * [taylor]: Taking taylor expansion of n in n 32.774 * [backup-simplify]: Simplify 0 into 0 32.774 * [backup-simplify]: Simplify 1 into 1 32.774 * [backup-simplify]: Simplify (/ PI 1) into PI 32.775 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.775 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 32.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 32.776 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 32.776 * [backup-simplify]: Simplify 0 into 0 32.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.777 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 32.777 * [backup-simplify]: Simplify 0 into 0 32.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.778 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 32.778 * [backup-simplify]: Simplify 0 into 0 32.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.780 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 32.780 * [backup-simplify]: Simplify 0 into 0 32.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 32.782 * [backup-simplify]: Simplify 0 into 0 32.782 * [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 32.783 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 32.783 * [backup-simplify]: Simplify 0 into 0 32.784 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 32.784 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 32.784 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 32.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 32.784 * [taylor]: Taking taylor expansion of -2.0 in n 32.784 * [backup-simplify]: Simplify -2.0 into -2.0 32.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.784 * [taylor]: Taking taylor expansion of PI in n 32.784 * [backup-simplify]: Simplify PI into PI 32.784 * [taylor]: Taking taylor expansion of n in n 32.784 * [backup-simplify]: Simplify 0 into 0 32.784 * [backup-simplify]: Simplify 1 into 1 32.784 * [backup-simplify]: Simplify (/ PI 1) into PI 32.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 32.784 * [taylor]: Taking taylor expansion of -2.0 in n 32.784 * [backup-simplify]: Simplify -2.0 into -2.0 32.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 32.784 * [taylor]: Taking taylor expansion of PI in n 32.784 * [backup-simplify]: Simplify PI into PI 32.784 * [taylor]: Taking taylor expansion of n in n 32.785 * [backup-simplify]: Simplify 0 into 0 32.785 * [backup-simplify]: Simplify 1 into 1 32.785 * [backup-simplify]: Simplify (/ PI 1) into PI 32.785 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 32.785 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 32.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 32.794 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 32.795 * [backup-simplify]: Simplify 0 into 0 32.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.797 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 32.797 * [backup-simplify]: Simplify 0 into 0 32.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.799 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 32.799 * [backup-simplify]: Simplify 0 into 0 32.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.801 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 32.802 * [backup-simplify]: Simplify 0 into 0 32.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 32.804 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 32.804 * [backup-simplify]: Simplify 0 into 0 32.805 * [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 32.807 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 32.807 * [backup-simplify]: Simplify 0 into 0 32.808 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 32.808 * * * [progress]: simplifying candidates 32.812 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 32.817 * * [simplify]: Extracting # 0 : cost 0 32.817 * * [simplify]: Extracting # 1 : cost 0 32.818 * * [simplify]: Extracting # 2 : cost 0 32.818 * * [simplify]: Extracting # 3 : cost 0 32.819 * * [simplify]: Extracting # 4 : cost 0 32.819 * * [simplify]: Extracting # 5 : cost 0 32.819 * * [simplify]: Extracting # 6 : cost 0 32.819 * * [simplify]: Extracting # 7 : cost 0 32.820 * * [simplify]: Extracting # 8 : cost 0 32.820 * * [simplify]: Extracting # 9 : cost 0 32.820 * * [simplify]: Extracting # 10 : cost 0 32.821 * * [simplify]: Extracting # 11 : cost 0 32.821 * * [simplify]: Extracting # 12 : cost 0 32.821 * * [simplify]: Extracting # 13 : cost 0 32.822 * * [simplify]: iteration 0 : 240 enodes (cost 1698 ) 32.940 * * [simplify]: Extracting # 0 : cost 0 32.941 * * [simplify]: Extracting # 1 : cost 0 32.943 * * [simplify]: Extracting # 2 : cost 0 32.944 * * [simplify]: Extracting # 3 : cost 0 32.946 * * [simplify]: Extracting # 4 : cost 0 32.947 * * [simplify]: Extracting # 5 : cost 0 32.948 * * [simplify]: Extracting # 6 : cost 0 32.950 * * [simplify]: Extracting # 7 : cost 0 32.952 * * [simplify]: iteration 1 : 571 enodes (cost 1560 ) 33.226 * * [simplify]: Extracting # 0 : cost 0 33.230 * * [simplify]: Extracting # 1 : cost 0 33.235 * * [simplify]: Extracting # 2 : cost 0 33.240 * * [simplify]: Extracting # 3 : cost 0 33.244 * * [simplify]: Extracting # 4 : cost 0 33.249 * * [simplify]: Extracting # 5 : cost 0 33.254 * * [simplify]: iteration 2 : 1748 enodes (cost 1456 ) 34.110 * * [simplify]: Extracting # 0 : cost 0 34.116 * * [simplify]: Extracting # 1 : cost 0 34.123 * * [simplify]: Extracting # 2 : cost 0 34.129 * * [simplify]: Extracting # 3 : cost 0 34.141 * * [simplify]: Extracting # 4 : cost 0 34.154 * * [simplify]: iteration done: 5000 enodes (cost 1434 ) 34.156 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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)) (* (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 (* PI n)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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) (* PI n) (fma (* 0.125 (pow k 2)) (* (pow (* 2.0 (* PI n)) 0.5) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2))) (- (fma (* (* (pow k 2) (log (* 2.0 PI))) (* (log n) (pow (* 2.0 (* PI n)) 0.5))) 0.25 (pow (* 2.0 (* PI n)) 0.5)) (* (* (* 0.5 k) (pow (* 2.0 (* PI n)) 0.5)) (log (* 2.0 (* PI 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)))))) (- (+ (* +nan.0 (- k (* k k))) +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))) (- (+ (* +nan.0 (- k (* k k))) +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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 34.157 * * * [progress]: adding candidates to table 34.807 * [progress]: [Phase 3 of 3] Extracting. 34.807 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 34.811 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 34.811 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 34.866 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 34.951 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 35.018 * * * [regime]: Found split indices: #