15.604 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.090 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.091 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.095 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.103 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.124 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.201 * * [simplify]: iteration 5 : 803 enodes (cost 16 ) 0.762 * * [simplify]: iteration 6 : 3283 enodes (cost 16 ) 2.020 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.020 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.021 * * [progress]: iteration 1 / 4 2.021 * * * [progress]: picking best candidate 2.023 * * * * [pick]: Picked # 2.023 * * * [progress]: localizing error 2.035 * * * [progress]: generating rewritten candidates 2.035 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.048 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.051 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.057 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.080 * * * [progress]: generating series expansions 2.081 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.081 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.081 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.081 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.081 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.081 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.081 * [taylor]: Taking taylor expansion of 0.5 in k 2.081 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.082 * [taylor]: Taking taylor expansion of 1.0 in k 2.082 * [taylor]: Taking taylor expansion of k in k 2.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.082 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.082 * [taylor]: Taking taylor expansion of 2.0 in k 2.082 * [taylor]: Taking taylor expansion of (* n PI) in k 2.082 * [taylor]: Taking taylor expansion of n in k 2.082 * [taylor]: Taking taylor expansion of PI in k 2.083 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.083 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.083 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.083 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.083 * [taylor]: Taking taylor expansion of 0.5 in n 2.083 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.083 * [taylor]: Taking taylor expansion of 1.0 in n 2.083 * [taylor]: Taking taylor expansion of k in n 2.083 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.083 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.083 * [taylor]: Taking taylor expansion of 2.0 in n 2.083 * [taylor]: Taking taylor expansion of (* n PI) in n 2.083 * [taylor]: Taking taylor expansion of n in n 2.083 * [taylor]: Taking taylor expansion of PI in n 2.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.088 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.088 * [taylor]: Taking taylor expansion of 0.5 in n 2.088 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.088 * [taylor]: Taking taylor expansion of 1.0 in n 2.088 * [taylor]: Taking taylor expansion of k in n 2.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.088 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.088 * [taylor]: Taking taylor expansion of 2.0 in n 2.088 * [taylor]: Taking taylor expansion of (* n PI) in n 2.088 * [taylor]: Taking taylor expansion of n in n 2.088 * [taylor]: Taking taylor expansion of PI in n 2.094 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.094 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.094 * [taylor]: Taking taylor expansion of 0.5 in k 2.094 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.094 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.094 * [taylor]: Taking taylor expansion of 1.0 in k 2.094 * [taylor]: Taking taylor expansion of k in k 2.094 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.094 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.094 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.094 * [taylor]: Taking taylor expansion of 2.0 in k 2.094 * [taylor]: Taking taylor expansion of PI in k 2.095 * [taylor]: Taking taylor expansion of (log n) in k 2.095 * [taylor]: Taking taylor expansion of n in k 2.104 * [taylor]: Taking taylor expansion of 0 in k 2.120 * [taylor]: Taking taylor expansion of 0 in k 2.142 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.142 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.142 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.142 * [taylor]: Taking taylor expansion of 0.5 in k 2.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.142 * [taylor]: Taking taylor expansion of 1.0 in k 2.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.142 * [taylor]: Taking taylor expansion of k in k 2.142 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.142 * [taylor]: Taking taylor expansion of 2.0 in k 2.142 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.142 * [taylor]: Taking taylor expansion of PI in k 2.142 * [taylor]: Taking taylor expansion of n in k 2.143 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.143 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.143 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.143 * [taylor]: Taking taylor expansion of 0.5 in n 2.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.143 * [taylor]: Taking taylor expansion of 1.0 in n 2.143 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.143 * [taylor]: Taking taylor expansion of k in n 2.143 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.144 * [taylor]: Taking taylor expansion of 2.0 in n 2.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.144 * [taylor]: Taking taylor expansion of PI in n 2.144 * [taylor]: Taking taylor expansion of n in n 2.147 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.147 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.147 * [taylor]: Taking taylor expansion of 0.5 in n 2.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.147 * [taylor]: Taking taylor expansion of 1.0 in n 2.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.147 * [taylor]: Taking taylor expansion of k in n 2.147 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.147 * [taylor]: Taking taylor expansion of 2.0 in n 2.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.147 * [taylor]: Taking taylor expansion of PI in n 2.147 * [taylor]: Taking taylor expansion of n in n 2.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.151 * [taylor]: Taking taylor expansion of 0.5 in k 2.151 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.151 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.151 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.151 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.151 * [taylor]: Taking taylor expansion of 2.0 in k 2.151 * [taylor]: Taking taylor expansion of PI in k 2.152 * [taylor]: Taking taylor expansion of (log n) in k 2.152 * [taylor]: Taking taylor expansion of n in k 2.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.152 * [taylor]: Taking taylor expansion of 1.0 in k 2.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.152 * [taylor]: Taking taylor expansion of k in k 2.162 * [taylor]: Taking taylor expansion of 0 in k 2.170 * [taylor]: Taking taylor expansion of 0 in k 2.179 * [taylor]: Taking taylor expansion of 0 in k 2.180 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.180 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.180 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.180 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.180 * [taylor]: Taking taylor expansion of 0.5 in k 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.180 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.180 * [taylor]: Taking taylor expansion of k in k 2.181 * [taylor]: Taking taylor expansion of 1.0 in k 2.181 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.181 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.181 * [taylor]: Taking taylor expansion of -2.0 in k 2.181 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.181 * [taylor]: Taking taylor expansion of PI in k 2.181 * [taylor]: Taking taylor expansion of n in k 2.182 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.182 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.182 * [taylor]: Taking taylor expansion of 0.5 in n 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.182 * [taylor]: Taking taylor expansion of k in n 2.182 * [taylor]: Taking taylor expansion of 1.0 in n 2.182 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.182 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.182 * [taylor]: Taking taylor expansion of -2.0 in n 2.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.182 * [taylor]: Taking taylor expansion of PI in n 2.182 * [taylor]: Taking taylor expansion of n in n 2.185 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.186 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.186 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.186 * [taylor]: Taking taylor expansion of 0.5 in n 2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.186 * [taylor]: Taking taylor expansion of k in n 2.186 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.186 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.186 * [taylor]: Taking taylor expansion of -2.0 in n 2.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.186 * [taylor]: Taking taylor expansion of PI in n 2.186 * [taylor]: Taking taylor expansion of n in n 2.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.189 * [taylor]: Taking taylor expansion of 0.5 in k 2.189 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.190 * [taylor]: Taking taylor expansion of k in k 2.190 * [taylor]: Taking taylor expansion of 1.0 in k 2.190 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.190 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.190 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.190 * [taylor]: Taking taylor expansion of -2.0 in k 2.190 * [taylor]: Taking taylor expansion of PI in k 2.191 * [taylor]: Taking taylor expansion of (log n) in k 2.191 * [taylor]: Taking taylor expansion of n in k 2.200 * [taylor]: Taking taylor expansion of 0 in k 2.206 * [taylor]: Taking taylor expansion of 0 in k 2.219 * [taylor]: Taking taylor expansion of 0 in k 2.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.220 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.220 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.220 * [taylor]: Taking taylor expansion of 1.0 in k 2.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.220 * [taylor]: Taking taylor expansion of k in k 2.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.221 * [taylor]: Taking taylor expansion of 1.0 in k 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.221 * [taylor]: Taking taylor expansion of k in k 2.232 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.232 * [taylor]: Taking taylor expansion of 1.0 in k 2.232 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.232 * [taylor]: Taking taylor expansion of k in k 2.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.233 * [taylor]: Taking taylor expansion of 1.0 in k 2.233 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.233 * [taylor]: Taking taylor expansion of k in k 2.243 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.243 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.243 * [taylor]: Taking taylor expansion of 1.0 in k 2.243 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.243 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.243 * [taylor]: Taking taylor expansion of -1 in k 2.243 * [taylor]: Taking taylor expansion of k in k 2.245 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.245 * [taylor]: Taking taylor expansion of 1.0 in k 2.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.245 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.245 * [taylor]: Taking taylor expansion of -1 in k 2.245 * [taylor]: Taking taylor expansion of k in k 2.256 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.257 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.257 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.257 * [taylor]: Taking taylor expansion of 2.0 in n 2.257 * [taylor]: Taking taylor expansion of (* n PI) in n 2.257 * [taylor]: Taking taylor expansion of n in n 2.257 * [taylor]: Taking taylor expansion of PI in n 2.257 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.257 * [taylor]: Taking taylor expansion of 2.0 in n 2.257 * [taylor]: Taking taylor expansion of (* n PI) in n 2.257 * [taylor]: Taking taylor expansion of n in n 2.257 * [taylor]: Taking taylor expansion of PI in n 2.269 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.269 * [taylor]: Taking taylor expansion of 2.0 in n 2.269 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.269 * [taylor]: Taking taylor expansion of PI in n 2.269 * [taylor]: Taking taylor expansion of n in n 2.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.269 * [taylor]: Taking taylor expansion of 2.0 in n 2.269 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.269 * [taylor]: Taking taylor expansion of PI in n 2.269 * [taylor]: Taking taylor expansion of n in n 2.278 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.278 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.278 * [taylor]: Taking taylor expansion of -2.0 in n 2.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.278 * [taylor]: Taking taylor expansion of PI in n 2.278 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.279 * [taylor]: Taking taylor expansion of -2.0 in n 2.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.287 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.288 * [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 2.288 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.288 * [taylor]: Taking taylor expansion of 1.0 in n 2.288 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.288 * [taylor]: Taking taylor expansion of k in n 2.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.288 * [taylor]: Taking taylor expansion of 0.5 in n 2.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.288 * [taylor]: Taking taylor expansion of 1.0 in n 2.288 * [taylor]: Taking taylor expansion of k in n 2.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.288 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.288 * [taylor]: Taking taylor expansion of 2.0 in n 2.288 * [taylor]: Taking taylor expansion of (* n PI) in n 2.288 * [taylor]: Taking taylor expansion of n in n 2.288 * [taylor]: Taking taylor expansion of PI in n 2.299 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.299 * [taylor]: Taking taylor expansion of 1.0 in k 2.299 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.299 * [taylor]: Taking taylor expansion of k in k 2.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.300 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.300 * [taylor]: Taking taylor expansion of 0.5 in k 2.300 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.300 * [taylor]: Taking taylor expansion of 1.0 in k 2.300 * [taylor]: Taking taylor expansion of k in k 2.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.300 * [taylor]: Taking taylor expansion of 2.0 in k 2.300 * [taylor]: Taking taylor expansion of (* n PI) in k 2.300 * [taylor]: Taking taylor expansion of n in k 2.300 * [taylor]: Taking taylor expansion of PI in k 2.301 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.301 * [taylor]: Taking taylor expansion of 1.0 in k 2.301 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.301 * [taylor]: Taking taylor expansion of k in k 2.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.303 * [taylor]: Taking taylor expansion of 0.5 in k 2.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.303 * [taylor]: Taking taylor expansion of 1.0 in k 2.303 * [taylor]: Taking taylor expansion of k in k 2.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.303 * [taylor]: Taking taylor expansion of 2.0 in k 2.303 * [taylor]: Taking taylor expansion of (* n PI) in k 2.303 * [taylor]: Taking taylor expansion of n in k 2.303 * [taylor]: Taking taylor expansion of PI in k 2.304 * [taylor]: Taking taylor expansion of 0 in n 2.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.310 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.310 * [taylor]: Taking taylor expansion of +nan.0 in n 2.310 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.310 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.310 * [taylor]: Taking taylor expansion of 0.5 in n 2.310 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.310 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.310 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.310 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.310 * [taylor]: Taking taylor expansion of 1.0 in n 2.310 * [taylor]: Taking taylor expansion of (log PI) in n 2.310 * [taylor]: Taking taylor expansion of PI in n 2.312 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.312 * [taylor]: Taking taylor expansion of 1.0 in n 2.312 * [taylor]: Taking taylor expansion of (log n) in n 2.312 * [taylor]: Taking taylor expansion of n in n 2.313 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.313 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.313 * [taylor]: Taking taylor expansion of 1.0 in n 2.313 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.313 * [taylor]: Taking taylor expansion of 2.0 in n 2.332 * [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 2.332 * [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 2.332 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.332 * [taylor]: Taking taylor expansion of +nan.0 in n 2.332 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.332 * [taylor]: Taking taylor expansion of 0.5 in n 2.332 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.332 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.332 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.332 * [taylor]: Taking taylor expansion of 1.0 in n 2.332 * [taylor]: Taking taylor expansion of (log PI) in n 2.332 * [taylor]: Taking taylor expansion of PI in n 2.334 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.334 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.334 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.334 * [taylor]: Taking taylor expansion of 1.0 in n 2.334 * [taylor]: Taking taylor expansion of (log n) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.335 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.335 * [taylor]: Taking taylor expansion of 1.0 in n 2.335 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.335 * [taylor]: Taking taylor expansion of 2.0 in n 2.340 * [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 2.340 * [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 2.340 * [taylor]: Taking taylor expansion of +nan.0 in n 2.340 * [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 2.340 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.340 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.340 * [taylor]: Taking taylor expansion of 0.5 in n 2.340 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.340 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.340 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.340 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.340 * [taylor]: Taking taylor expansion of 1.0 in n 2.340 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.340 * [taylor]: Taking taylor expansion of 2.0 in n 2.342 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.342 * [taylor]: Taking taylor expansion of 1.0 in n 2.342 * [taylor]: Taking taylor expansion of (log PI) in n 2.342 * [taylor]: Taking taylor expansion of PI in n 2.344 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.344 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.344 * [taylor]: Taking taylor expansion of 1.0 in n 2.344 * [taylor]: Taking taylor expansion of (log n) in n 2.344 * [taylor]: Taking taylor expansion of n in n 2.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.348 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.348 * [taylor]: Taking taylor expansion of 2.0 in n 2.348 * [taylor]: Taking taylor expansion of (* n PI) in n 2.348 * [taylor]: Taking taylor expansion of n in n 2.348 * [taylor]: Taking taylor expansion of PI in n 2.402 * [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 2.402 * [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 2.402 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.402 * [taylor]: Taking taylor expansion of +nan.0 in n 2.402 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.402 * [taylor]: Taking taylor expansion of 0.5 in n 2.402 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.402 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.402 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.402 * [taylor]: Taking taylor expansion of 1.0 in n 2.402 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.402 * [taylor]: Taking taylor expansion of 2.0 in n 2.404 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.404 * [taylor]: Taking taylor expansion of 1.0 in n 2.404 * [taylor]: Taking taylor expansion of (log n) in n 2.404 * [taylor]: Taking taylor expansion of n in n 2.405 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.405 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.405 * [taylor]: Taking taylor expansion of 1.0 in n 2.405 * [taylor]: Taking taylor expansion of (log PI) in n 2.405 * [taylor]: Taking taylor expansion of PI in n 2.410 * [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 2.410 * [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 2.411 * [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 2.411 * [taylor]: Taking taylor expansion of +nan.0 in n 2.411 * [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 2.411 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.411 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.411 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.411 * [taylor]: Taking taylor expansion of 0.5 in n 2.411 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.411 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.411 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.411 * [taylor]: Taking taylor expansion of 1.0 in n 2.411 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.411 * [taylor]: Taking taylor expansion of 2.0 in n 2.412 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (log PI) in n 2.413 * [taylor]: Taking taylor expansion of PI in n 2.414 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.414 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.414 * [taylor]: Taking taylor expansion of 1.0 in n 2.414 * [taylor]: Taking taylor expansion of (log n) in n 2.415 * [taylor]: Taking taylor expansion of n in n 2.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.419 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.419 * [taylor]: Taking taylor expansion of 2.0 in n 2.419 * [taylor]: Taking taylor expansion of (* n PI) in n 2.419 * [taylor]: Taking taylor expansion of n in n 2.419 * [taylor]: Taking taylor expansion of PI in n 2.422 * [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 2.422 * [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 2.422 * [taylor]: Taking taylor expansion of +nan.0 in n 2.422 * [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 2.422 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.422 * [taylor]: Taking taylor expansion of 0.5 in n 2.422 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.422 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.422 * [taylor]: Taking taylor expansion of 2.0 in n 2.424 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.424 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log PI) in n 2.424 * [taylor]: Taking taylor expansion of PI in n 2.426 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.426 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.426 * [taylor]: Taking taylor expansion of 1.0 in n 2.426 * [taylor]: Taking taylor expansion of (log n) in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.430 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.431 * [taylor]: Taking taylor expansion of 2.0 in n 2.431 * [taylor]: Taking taylor expansion of (* n PI) in n 2.431 * [taylor]: Taking taylor expansion of n in n 2.431 * [taylor]: Taking taylor expansion of PI in n 2.508 * [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 2.508 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.509 * [taylor]: Taking taylor expansion of 1.0 in n 2.509 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.509 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.509 * [taylor]: Taking taylor expansion of k in n 2.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.509 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.509 * [taylor]: Taking taylor expansion of 0.5 in n 2.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.510 * [taylor]: Taking taylor expansion of 1.0 in n 2.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.510 * [taylor]: Taking taylor expansion of k in n 2.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.510 * [taylor]: Taking taylor expansion of 2.0 in n 2.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.510 * [taylor]: Taking taylor expansion of PI in n 2.510 * [taylor]: Taking taylor expansion of n in n 2.513 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.514 * [taylor]: Taking taylor expansion of 1.0 in k 2.514 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.514 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.514 * [taylor]: Taking taylor expansion of k in k 2.515 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.515 * [taylor]: Taking taylor expansion of 0.5 in k 2.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.515 * [taylor]: Taking taylor expansion of 1.0 in k 2.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.515 * [taylor]: Taking taylor expansion of k in k 2.515 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.515 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.515 * [taylor]: Taking taylor expansion of 2.0 in k 2.515 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.515 * [taylor]: Taking taylor expansion of PI in k 2.515 * [taylor]: Taking taylor expansion of n in k 2.516 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.516 * [taylor]: Taking taylor expansion of 1.0 in k 2.516 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.516 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.516 * [taylor]: Taking taylor expansion of k in k 2.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.517 * [taylor]: Taking taylor expansion of 0.5 in k 2.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.517 * [taylor]: Taking taylor expansion of 1.0 in k 2.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.517 * [taylor]: Taking taylor expansion of k in k 2.518 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.518 * [taylor]: Taking taylor expansion of 2.0 in k 2.518 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.518 * [taylor]: Taking taylor expansion of PI in k 2.518 * [taylor]: Taking taylor expansion of n in k 2.519 * [taylor]: Taking taylor expansion of 0 in n 2.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.520 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.520 * [taylor]: Taking taylor expansion of +nan.0 in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.520 * [taylor]: Taking taylor expansion of 0.5 in n 2.520 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.520 * [taylor]: Taking taylor expansion of 2.0 in n 2.520 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.520 * [taylor]: Taking taylor expansion of PI in n 2.520 * [taylor]: Taking taylor expansion of n in n 2.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.522 * [taylor]: Taking taylor expansion of k in n 2.530 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.530 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.530 * [taylor]: Taking taylor expansion of +nan.0 in n 2.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.530 * [taylor]: Taking taylor expansion of 0.5 in n 2.530 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.530 * [taylor]: Taking taylor expansion of 2.0 in n 2.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.530 * [taylor]: Taking taylor expansion of PI in n 2.530 * [taylor]: Taking taylor expansion of n in n 2.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.531 * [taylor]: Taking taylor expansion of 1.0 in n 2.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.531 * [taylor]: Taking taylor expansion of k in n 2.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.548 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.548 * [taylor]: Taking taylor expansion of +nan.0 in n 2.548 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.548 * [taylor]: Taking taylor expansion of 0.5 in n 2.548 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.548 * [taylor]: Taking taylor expansion of 2.0 in n 2.548 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.548 * [taylor]: Taking taylor expansion of PI in n 2.548 * [taylor]: Taking taylor expansion of n in n 2.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.549 * [taylor]: Taking taylor expansion of 1.0 in n 2.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.549 * [taylor]: Taking taylor expansion of k in n 2.558 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.558 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.558 * [taylor]: Taking taylor expansion of 1.0 in n 2.558 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.558 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.558 * [taylor]: Taking taylor expansion of 0.5 in n 2.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.558 * [taylor]: Taking taylor expansion of k in n 2.562 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.563 * [taylor]: Taking taylor expansion of -2.0 in n 2.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.566 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.567 * [taylor]: Taking taylor expansion of -1 in n 2.567 * [taylor]: Taking taylor expansion of k in n 2.567 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.567 * [taylor]: Taking taylor expansion of 1.0 in k 2.568 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.568 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.568 * [taylor]: Taking taylor expansion of 0.5 in k 2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.568 * [taylor]: Taking taylor expansion of k in k 2.568 * [taylor]: Taking taylor expansion of 1.0 in k 2.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.568 * [taylor]: Taking taylor expansion of -2.0 in k 2.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.568 * [taylor]: Taking taylor expansion of PI in k 2.568 * [taylor]: Taking taylor expansion of n in k 2.569 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.569 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.569 * [taylor]: Taking taylor expansion of -1 in k 2.569 * [taylor]: Taking taylor expansion of k in k 2.570 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.570 * [taylor]: Taking taylor expansion of 1.0 in k 2.570 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.570 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.571 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.571 * [taylor]: Taking taylor expansion of 0.5 in k 2.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.571 * [taylor]: Taking taylor expansion of k in k 2.571 * [taylor]: Taking taylor expansion of 1.0 in k 2.571 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.571 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.571 * [taylor]: Taking taylor expansion of -2.0 in k 2.571 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.571 * [taylor]: Taking taylor expansion of PI in k 2.571 * [taylor]: Taking taylor expansion of n in k 2.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.572 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.572 * [taylor]: Taking taylor expansion of -1 in k 2.572 * [taylor]: Taking taylor expansion of k in k 2.573 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.573 * [taylor]: Taking taylor expansion of +nan.0 in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.574 * [taylor]: Taking taylor expansion of k in n 2.574 * [taylor]: Taking taylor expansion of 1.0 in n 2.574 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.574 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.574 * [taylor]: Taking taylor expansion of -2.0 in n 2.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.574 * [taylor]: Taking taylor expansion of PI in n 2.574 * [taylor]: Taking taylor expansion of n in n 2.582 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.583 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.583 * [taylor]: Taking taylor expansion of +nan.0 in n 2.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.583 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.583 * [taylor]: Taking taylor expansion of 0.5 in n 2.583 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.583 * [taylor]: Taking taylor expansion of k in n 2.583 * [taylor]: Taking taylor expansion of 1.0 in n 2.583 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.583 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.583 * [taylor]: Taking taylor expansion of -2.0 in n 2.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.583 * [taylor]: Taking taylor expansion of PI in n 2.583 * [taylor]: Taking taylor expansion of n in n 2.600 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.600 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.600 * [taylor]: Taking taylor expansion of +nan.0 in n 2.600 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.600 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.600 * [taylor]: Taking taylor expansion of 0.5 in n 2.600 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.600 * [taylor]: Taking taylor expansion of k in n 2.600 * [taylor]: Taking taylor expansion of 1.0 in n 2.600 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.600 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.600 * [taylor]: Taking taylor expansion of -2.0 in n 2.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.601 * [taylor]: Taking taylor expansion of PI in n 2.601 * [taylor]: Taking taylor expansion of n in n 2.610 * * * [progress]: simplifying candidates 2.612 * [simplify]: Simplifying using # : (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 (* 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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.638 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.712 * * [simplify]: iteration 1 : 974 enodes (cost 2712 ) 2.999 * * [simplify]: iteration 2 : 3438 enodes (cost 2532 ) 3.653 * * [simplify]: iteration done : 5000 enodes (cost 2523 ) 3.655 * [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 (* n 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))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (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 (sqrt k)) 3) (* (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 (* n PI)) (* 2.0 (* n PI)) (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) (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 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (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)) (* (* 0.5 k) (+ (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +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 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (fma (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (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 (* (* (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 (- (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))) (* +nan.0 (* (* k (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) (* (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) (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 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.656 * * * [progress]: adding candidates to table 4.075 * * [progress]: iteration 2 / 4 4.076 * * * [progress]: picking best candidate 4.106 * * * * [pick]: Picked # 4.107 * * * [progress]: localizing error 4.119 * * * [progress]: generating rewritten candidates 4.119 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 4.128 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 4.134 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.144 * * * [progress]: generating series expansions 4.144 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 4.145 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.145 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.145 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.145 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.145 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.145 * [taylor]: Taking taylor expansion of 0.5 in k 4.145 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.145 * [taylor]: Taking taylor expansion of 1.0 in k 4.145 * [taylor]: Taking taylor expansion of k in k 4.145 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.145 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.145 * [taylor]: Taking taylor expansion of 2.0 in k 4.145 * [taylor]: Taking taylor expansion of (* n PI) in k 4.145 * [taylor]: Taking taylor expansion of n in k 4.145 * [taylor]: Taking taylor expansion of PI in k 4.146 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.147 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.147 * [taylor]: Taking taylor expansion of 0.5 in n 4.147 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.147 * [taylor]: Taking taylor expansion of 1.0 in n 4.147 * [taylor]: Taking taylor expansion of k in n 4.147 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.147 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.147 * [taylor]: Taking taylor expansion of 2.0 in n 4.147 * [taylor]: Taking taylor expansion of (* n PI) in n 4.147 * [taylor]: Taking taylor expansion of n in n 4.147 * [taylor]: Taking taylor expansion of PI in n 4.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.152 * [taylor]: Taking taylor expansion of 0.5 in n 4.152 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.152 * [taylor]: Taking taylor expansion of 1.0 in n 4.152 * [taylor]: Taking taylor expansion of k in n 4.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.152 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.152 * [taylor]: Taking taylor expansion of 2.0 in n 4.152 * [taylor]: Taking taylor expansion of (* n PI) in n 4.152 * [taylor]: Taking taylor expansion of n in n 4.152 * [taylor]: Taking taylor expansion of PI in n 4.158 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.158 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.158 * [taylor]: Taking taylor expansion of 0.5 in k 4.158 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.158 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.158 * [taylor]: Taking taylor expansion of 1.0 in k 4.158 * [taylor]: Taking taylor expansion of k in k 4.158 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.158 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.158 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.158 * [taylor]: Taking taylor expansion of 2.0 in k 4.158 * [taylor]: Taking taylor expansion of PI in k 4.159 * [taylor]: Taking taylor expansion of (log n) in k 4.159 * [taylor]: Taking taylor expansion of n in k 4.168 * [taylor]: Taking taylor expansion of 0 in k 4.184 * [taylor]: Taking taylor expansion of 0 in k 4.207 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.207 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.207 * [taylor]: Taking taylor expansion of 0.5 in k 4.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.207 * [taylor]: Taking taylor expansion of 1.0 in k 4.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.207 * [taylor]: Taking taylor expansion of k in k 4.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.208 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.208 * [taylor]: Taking taylor expansion of 2.0 in k 4.208 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.208 * [taylor]: Taking taylor expansion of PI in k 4.208 * [taylor]: Taking taylor expansion of n in k 4.209 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.209 * [taylor]: Taking taylor expansion of 0.5 in n 4.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.209 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.209 * [taylor]: Taking taylor expansion of k in n 4.209 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.209 * [taylor]: Taking taylor expansion of 2.0 in n 4.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.209 * [taylor]: Taking taylor expansion of PI in n 4.209 * [taylor]: Taking taylor expansion of n in n 4.213 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.213 * [taylor]: Taking taylor expansion of 0.5 in n 4.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.213 * [taylor]: Taking taylor expansion of 1.0 in n 4.213 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.213 * [taylor]: Taking taylor expansion of k in n 4.213 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.213 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.213 * [taylor]: Taking taylor expansion of 2.0 in n 4.213 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.213 * [taylor]: Taking taylor expansion of PI in n 4.213 * [taylor]: Taking taylor expansion of n in n 4.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.217 * [taylor]: Taking taylor expansion of 0.5 in k 4.217 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.217 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.217 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.217 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.217 * [taylor]: Taking taylor expansion of 2.0 in k 4.217 * [taylor]: Taking taylor expansion of PI in k 4.218 * [taylor]: Taking taylor expansion of (log n) in k 4.218 * [taylor]: Taking taylor expansion of n in k 4.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.218 * [taylor]: Taking taylor expansion of 1.0 in k 4.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.218 * [taylor]: Taking taylor expansion of k in k 4.227 * [taylor]: Taking taylor expansion of 0 in k 4.234 * [taylor]: Taking taylor expansion of 0 in k 4.243 * [taylor]: Taking taylor expansion of 0 in k 4.245 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.245 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.245 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.245 * [taylor]: Taking taylor expansion of 0.5 in k 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.245 * [taylor]: Taking taylor expansion of k in k 4.245 * [taylor]: Taking taylor expansion of 1.0 in k 4.246 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.246 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.246 * [taylor]: Taking taylor expansion of -2.0 in k 4.246 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.246 * [taylor]: Taking taylor expansion of PI in k 4.246 * [taylor]: Taking taylor expansion of n in k 4.247 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.247 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.247 * [taylor]: Taking taylor expansion of 0.5 in n 4.247 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.247 * [taylor]: Taking taylor expansion of k in n 4.247 * [taylor]: Taking taylor expansion of 1.0 in n 4.247 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.247 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.247 * [taylor]: Taking taylor expansion of -2.0 in n 4.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.247 * [taylor]: Taking taylor expansion of PI in n 4.247 * [taylor]: Taking taylor expansion of n in n 4.251 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.251 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.251 * [taylor]: Taking taylor expansion of 0.5 in n 4.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.251 * [taylor]: Taking taylor expansion of k in n 4.251 * [taylor]: Taking taylor expansion of 1.0 in n 4.251 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.251 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.251 * [taylor]: Taking taylor expansion of -2.0 in n 4.251 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.251 * [taylor]: Taking taylor expansion of PI in n 4.251 * [taylor]: Taking taylor expansion of n in n 4.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.255 * [taylor]: Taking taylor expansion of 0.5 in k 4.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.255 * [taylor]: Taking taylor expansion of k in k 4.255 * [taylor]: Taking taylor expansion of 1.0 in k 4.255 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.255 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.255 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.255 * [taylor]: Taking taylor expansion of -2.0 in k 4.255 * [taylor]: Taking taylor expansion of PI in k 4.256 * [taylor]: Taking taylor expansion of (log n) in k 4.256 * [taylor]: Taking taylor expansion of n in k 4.265 * [taylor]: Taking taylor expansion of 0 in k 4.277 * [taylor]: Taking taylor expansion of 0 in k 4.285 * [taylor]: Taking taylor expansion of 0 in k 4.286 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 4.287 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.287 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.287 * [taylor]: Taking taylor expansion of 2.0 in n 4.287 * [taylor]: Taking taylor expansion of (* n PI) in n 4.287 * [taylor]: Taking taylor expansion of n in n 4.287 * [taylor]: Taking taylor expansion of PI in n 4.287 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.287 * [taylor]: Taking taylor expansion of 2.0 in n 4.287 * [taylor]: Taking taylor expansion of (* n PI) in n 4.287 * [taylor]: Taking taylor expansion of n in n 4.287 * [taylor]: Taking taylor expansion of PI in n 4.299 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.299 * [taylor]: Taking taylor expansion of 2.0 in n 4.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.299 * [taylor]: Taking taylor expansion of PI in n 4.299 * [taylor]: Taking taylor expansion of n in n 4.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.299 * [taylor]: Taking taylor expansion of 2.0 in n 4.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.300 * [taylor]: Taking taylor expansion of PI in n 4.300 * [taylor]: Taking taylor expansion of n in n 4.308 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.308 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.308 * [taylor]: Taking taylor expansion of -2.0 in n 4.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.308 * [taylor]: Taking taylor expansion of PI in n 4.308 * [taylor]: Taking taylor expansion of n in n 4.309 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.309 * [taylor]: Taking taylor expansion of -2.0 in n 4.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.309 * [taylor]: Taking taylor expansion of PI in n 4.309 * [taylor]: Taking taylor expansion of n in n 4.317 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.318 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 4.318 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 4.318 * [taylor]: Taking taylor expansion of 1.0 in k 4.318 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 4.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.318 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.318 * [taylor]: Taking taylor expansion of 0.5 in k 4.318 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.318 * [taylor]: Taking taylor expansion of 1.0 in k 4.318 * [taylor]: Taking taylor expansion of k in k 4.318 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.318 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.318 * [taylor]: Taking taylor expansion of 2.0 in k 4.318 * [taylor]: Taking taylor expansion of (* n PI) in k 4.318 * [taylor]: Taking taylor expansion of n in k 4.318 * [taylor]: Taking taylor expansion of PI in k 4.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.319 * [taylor]: Taking taylor expansion of k in k 4.320 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.320 * [taylor]: Taking taylor expansion of 1.0 in n 4.320 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.320 * [taylor]: Taking taylor expansion of 0.5 in n 4.320 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.321 * [taylor]: Taking taylor expansion of 1.0 in n 4.321 * [taylor]: Taking taylor expansion of k in n 4.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.321 * [taylor]: Taking taylor expansion of 2.0 in n 4.321 * [taylor]: Taking taylor expansion of (* n PI) in n 4.321 * [taylor]: Taking taylor expansion of n in n 4.321 * [taylor]: Taking taylor expansion of PI in n 4.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.326 * [taylor]: Taking taylor expansion of k in n 4.326 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.326 * [taylor]: Taking taylor expansion of 1.0 in n 4.326 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.326 * [taylor]: Taking taylor expansion of 0.5 in n 4.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.326 * [taylor]: Taking taylor expansion of 1.0 in n 4.326 * [taylor]: Taking taylor expansion of k in n 4.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.326 * [taylor]: Taking taylor expansion of 2.0 in n 4.326 * [taylor]: Taking taylor expansion of (* n PI) in n 4.326 * [taylor]: Taking taylor expansion of n in n 4.326 * [taylor]: Taking taylor expansion of PI in n 4.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.332 * [taylor]: Taking taylor expansion of k in n 4.333 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 4.333 * [taylor]: Taking taylor expansion of 1.0 in k 4.334 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.334 * [taylor]: Taking taylor expansion of k in k 4.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.335 * [taylor]: Taking taylor expansion of 0.5 in k 4.335 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.335 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.335 * [taylor]: Taking taylor expansion of 1.0 in k 4.335 * [taylor]: Taking taylor expansion of k in k 4.335 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.335 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.335 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.335 * [taylor]: Taking taylor expansion of 2.0 in k 4.335 * [taylor]: Taking taylor expansion of PI in k 4.336 * [taylor]: Taking taylor expansion of (log n) in k 4.336 * [taylor]: Taking taylor expansion of n in k 4.347 * [taylor]: Taking taylor expansion of 0 in k 4.373 * [taylor]: Taking taylor expansion of 0 in k 4.410 * [taylor]: Taking taylor expansion of 0 in k 4.473 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.473 * [taylor]: Taking taylor expansion of 1.0 in k 4.473 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.473 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.473 * [taylor]: Taking taylor expansion of k in k 4.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.475 * [taylor]: Taking taylor expansion of 0.5 in k 4.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.475 * [taylor]: Taking taylor expansion of 1.0 in k 4.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.475 * [taylor]: Taking taylor expansion of k in k 4.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.475 * [taylor]: Taking taylor expansion of 2.0 in k 4.475 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.475 * [taylor]: Taking taylor expansion of PI in k 4.475 * [taylor]: Taking taylor expansion of n in k 4.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.476 * [taylor]: Taking taylor expansion of 1.0 in n 4.476 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.476 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.476 * [taylor]: Taking taylor expansion of k in n 4.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.476 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.476 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.476 * [taylor]: Taking taylor expansion of 0.5 in n 4.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.476 * [taylor]: Taking taylor expansion of 1.0 in n 4.476 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.476 * [taylor]: Taking taylor expansion of k in n 4.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.476 * [taylor]: Taking taylor expansion of 2.0 in n 4.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.476 * [taylor]: Taking taylor expansion of PI in n 4.476 * [taylor]: Taking taylor expansion of n in n 4.480 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.480 * [taylor]: Taking taylor expansion of 1.0 in n 4.480 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.480 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.480 * [taylor]: Taking taylor expansion of k in n 4.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.480 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.480 * [taylor]: Taking taylor expansion of 0.5 in n 4.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.480 * [taylor]: Taking taylor expansion of 1.0 in n 4.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.480 * [taylor]: Taking taylor expansion of k in n 4.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.480 * [taylor]: Taking taylor expansion of 2.0 in n 4.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.480 * [taylor]: Taking taylor expansion of PI in n 4.480 * [taylor]: Taking taylor expansion of n in n 4.486 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.486 * [taylor]: Taking taylor expansion of 1.0 in k 4.486 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.486 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.486 * [taylor]: Taking taylor expansion of k in k 4.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.487 * [taylor]: Taking taylor expansion of 0.5 in k 4.487 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.487 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.487 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.487 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.487 * [taylor]: Taking taylor expansion of 2.0 in k 4.487 * [taylor]: Taking taylor expansion of PI in k 4.488 * [taylor]: Taking taylor expansion of (log n) in k 4.488 * [taylor]: Taking taylor expansion of n in k 4.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.488 * [taylor]: Taking taylor expansion of 1.0 in k 4.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.488 * [taylor]: Taking taylor expansion of k in k 4.500 * [taylor]: Taking taylor expansion of 0 in k 4.513 * [taylor]: Taking taylor expansion of 0 in k 4.535 * [taylor]: Taking taylor expansion of 0 in k 4.546 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 4.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.546 * [taylor]: Taking taylor expansion of 1.0 in k 4.546 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.546 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.546 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.546 * [taylor]: Taking taylor expansion of 0.5 in k 4.546 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.546 * [taylor]: Taking taylor expansion of k in k 4.547 * [taylor]: Taking taylor expansion of 1.0 in k 4.547 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.547 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.547 * [taylor]: Taking taylor expansion of -2.0 in k 4.547 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.547 * [taylor]: Taking taylor expansion of PI in k 4.547 * [taylor]: Taking taylor expansion of n in k 4.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.548 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.548 * [taylor]: Taking taylor expansion of -1 in k 4.548 * [taylor]: Taking taylor expansion of k in k 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.549 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.549 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.549 * [taylor]: Taking taylor expansion of 0.5 in n 4.549 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.549 * [taylor]: Taking taylor expansion of k in n 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.549 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.549 * [taylor]: Taking taylor expansion of -2.0 in n 4.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.549 * [taylor]: Taking taylor expansion of PI in n 4.549 * [taylor]: Taking taylor expansion of n in n 4.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.553 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.553 * [taylor]: Taking taylor expansion of -1 in n 4.553 * [taylor]: Taking taylor expansion of k in n 4.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.554 * [taylor]: Taking taylor expansion of 1.0 in n 4.554 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.554 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.554 * [taylor]: Taking taylor expansion of 0.5 in n 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.554 * [taylor]: Taking taylor expansion of k in n 4.555 * [taylor]: Taking taylor expansion of 1.0 in n 4.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.555 * [taylor]: Taking taylor expansion of -2.0 in n 4.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.555 * [taylor]: Taking taylor expansion of PI in n 4.555 * [taylor]: Taking taylor expansion of n in n 4.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.558 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.558 * [taylor]: Taking taylor expansion of -1 in n 4.558 * [taylor]: Taking taylor expansion of k in n 4.560 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 4.560 * [taylor]: Taking taylor expansion of 1.0 in k 4.560 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 4.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.560 * [taylor]: Taking taylor expansion of 0.5 in k 4.560 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.560 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.560 * [taylor]: Taking taylor expansion of k in k 4.560 * [taylor]: Taking taylor expansion of 1.0 in k 4.561 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.561 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.561 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.561 * [taylor]: Taking taylor expansion of -2.0 in k 4.561 * [taylor]: Taking taylor expansion of PI in k 4.562 * [taylor]: Taking taylor expansion of (log n) in k 4.562 * [taylor]: Taking taylor expansion of n in k 4.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.565 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.565 * [taylor]: Taking taylor expansion of -1 in k 4.565 * [taylor]: Taking taylor expansion of k in k 4.575 * [taylor]: Taking taylor expansion of 0 in k 4.590 * [taylor]: Taking taylor expansion of 0 in k 4.602 * * * [progress]: simplifying candidates 4.603 * [simplify]: Simplifying using # : (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ 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 (* 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +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)))))))))))) 4.621 * * [simplify]: iteration 0 : 270 enodes (cost 1898 ) 4.678 * * [simplify]: iteration 1 : 733 enodes (cost 1762 ) 4.865 * * [simplify]: iteration 2 : 2671 enodes (cost 1592 ) 5.395 * * [simplify]: iteration done : 5001 enodes (cost 1586 ) 5.396 * [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 (* n 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))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (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) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)))) (- (fma (* 0.25 (pow k 2)) (* (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (log (* 2.0 PI))) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)) (* (pow (* 2.0 (* n PI)) 0.5) (log n)))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (fma (* (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (pow k 2)) +nan.0 (- (fma +nan.0 (* (* k (pow (* 2.0 (* n PI)) 0.5)) (log n)) (- (fma +nan.0 (* (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (pow k 2)) (- (fma (* (* (pow (* 2.0 (* n PI)) 0.5) (* (pow k 2) (log (* 2.0 PI)))) (log n)) +nan.0 (- (* +nan.0 (- (* (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2)) (pow k 2)) (pow (* 2.0 (* n PI)) 0.5))) (* (* k (log (* 2.0 PI))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) (* (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)) k))))) (* (* (* +nan.0 (pow k 2)) (log (* 2.0 PI))) (pow (* 2.0 (* n PI)) 0.5)))) (* (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)) (pow k 2))) (- (* +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)) k) k))) (* (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 3)) +nan.0)) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 5.397 * * * [progress]: adding candidates to table 5.639 * * [progress]: iteration 3 / 4 5.639 * * * [progress]: picking best candidate 5.663 * * * * [pick]: Picked # 5.663 * * * [progress]: localizing error 5.678 * * * [progress]: generating rewritten candidates 5.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.704 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.710 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.729 * * * [progress]: generating series expansions 5.729 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.730 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.730 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.730 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.730 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.730 * [taylor]: Taking taylor expansion of 0.25 in k 5.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.730 * [taylor]: Taking taylor expansion of 1.0 in k 5.730 * [taylor]: Taking taylor expansion of k in k 5.730 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.730 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.730 * [taylor]: Taking taylor expansion of 2.0 in k 5.730 * [taylor]: Taking taylor expansion of (* n PI) in k 5.730 * [taylor]: Taking taylor expansion of n in k 5.730 * [taylor]: Taking taylor expansion of PI in k 5.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.731 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.731 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.731 * [taylor]: Taking taylor expansion of 0.25 in n 5.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.731 * [taylor]: Taking taylor expansion of 1.0 in n 5.731 * [taylor]: Taking taylor expansion of k in n 5.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.731 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.731 * [taylor]: Taking taylor expansion of 2.0 in n 5.731 * [taylor]: Taking taylor expansion of (* n PI) in n 5.731 * [taylor]: Taking taylor expansion of n in n 5.731 * [taylor]: Taking taylor expansion of PI in n 5.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.737 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.737 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.737 * [taylor]: Taking taylor expansion of 0.25 in n 5.737 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.737 * [taylor]: Taking taylor expansion of 1.0 in n 5.737 * [taylor]: Taking taylor expansion of k in n 5.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.737 * [taylor]: Taking taylor expansion of 2.0 in n 5.737 * [taylor]: Taking taylor expansion of (* n PI) in n 5.737 * [taylor]: Taking taylor expansion of n in n 5.737 * [taylor]: Taking taylor expansion of PI in n 5.743 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.743 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.743 * [taylor]: Taking taylor expansion of 0.25 in k 5.743 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.743 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.743 * [taylor]: Taking taylor expansion of 1.0 in k 5.743 * [taylor]: Taking taylor expansion of k in k 5.743 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.743 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.743 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.743 * [taylor]: Taking taylor expansion of 2.0 in k 5.743 * [taylor]: Taking taylor expansion of PI in k 5.744 * [taylor]: Taking taylor expansion of (log n) in k 5.744 * [taylor]: Taking taylor expansion of n in k 5.754 * [taylor]: Taking taylor expansion of 0 in k 5.769 * [taylor]: Taking taylor expansion of 0 in k 5.788 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.788 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.788 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.788 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.794 * [taylor]: Taking taylor expansion of 0.25 in k 5.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.795 * [taylor]: Taking taylor expansion of 1.0 in k 5.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.795 * [taylor]: Taking taylor expansion of k in k 5.795 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.795 * [taylor]: Taking taylor expansion of 2.0 in k 5.795 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.795 * [taylor]: Taking taylor expansion of PI in k 5.795 * [taylor]: Taking taylor expansion of n in k 5.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.796 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.796 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.796 * [taylor]: Taking taylor expansion of 0.25 in n 5.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.796 * [taylor]: Taking taylor expansion of 1.0 in n 5.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.797 * [taylor]: Taking taylor expansion of k in n 5.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.797 * [taylor]: Taking taylor expansion of 2.0 in n 5.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.797 * [taylor]: Taking taylor expansion of PI in n 5.797 * [taylor]: Taking taylor expansion of n in n 5.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.800 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.800 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.800 * [taylor]: Taking taylor expansion of 0.25 in n 5.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.800 * [taylor]: Taking taylor expansion of 1.0 in n 5.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.800 * [taylor]: Taking taylor expansion of k in n 5.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.800 * [taylor]: Taking taylor expansion of 2.0 in n 5.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.801 * [taylor]: Taking taylor expansion of PI in n 5.801 * [taylor]: Taking taylor expansion of n in n 5.804 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.804 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.804 * [taylor]: Taking taylor expansion of 0.25 in k 5.805 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.805 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.805 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.805 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.805 * [taylor]: Taking taylor expansion of 2.0 in k 5.805 * [taylor]: Taking taylor expansion of PI in k 5.806 * [taylor]: Taking taylor expansion of (log n) in k 5.806 * [taylor]: Taking taylor expansion of n in k 5.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.806 * [taylor]: Taking taylor expansion of 1.0 in k 5.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.806 * [taylor]: Taking taylor expansion of k in k 5.815 * [taylor]: Taking taylor expansion of 0 in k 5.822 * [taylor]: Taking taylor expansion of 0 in k 5.831 * [taylor]: Taking taylor expansion of 0 in k 5.833 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.833 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.833 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.833 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.833 * [taylor]: Taking taylor expansion of 0.25 in k 5.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.833 * [taylor]: Taking taylor expansion of k in k 5.833 * [taylor]: Taking taylor expansion of 1.0 in k 5.833 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.833 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.833 * [taylor]: Taking taylor expansion of -2.0 in k 5.833 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.833 * [taylor]: Taking taylor expansion of PI in k 5.833 * [taylor]: Taking taylor expansion of n in k 5.834 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.834 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.834 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.834 * [taylor]: Taking taylor expansion of 0.25 in n 5.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.834 * [taylor]: Taking taylor expansion of k in n 5.834 * [taylor]: Taking taylor expansion of 1.0 in n 5.834 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.834 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.834 * [taylor]: Taking taylor expansion of -2.0 in n 5.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.834 * [taylor]: Taking taylor expansion of PI in n 5.834 * [taylor]: Taking taylor expansion of n in n 5.838 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.838 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.838 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.838 * [taylor]: Taking taylor expansion of 0.25 in n 5.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.838 * [taylor]: Taking taylor expansion of k in n 5.838 * [taylor]: Taking taylor expansion of 1.0 in n 5.838 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.838 * [taylor]: Taking taylor expansion of -2.0 in n 5.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.838 * [taylor]: Taking taylor expansion of PI in n 5.838 * [taylor]: Taking taylor expansion of n in n 5.842 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.842 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.842 * [taylor]: Taking taylor expansion of 0.25 in k 5.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.842 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.842 * [taylor]: Taking taylor expansion of k in k 5.842 * [taylor]: Taking taylor expansion of 1.0 in k 5.842 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.842 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.842 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.842 * [taylor]: Taking taylor expansion of -2.0 in k 5.842 * [taylor]: Taking taylor expansion of PI in k 5.843 * [taylor]: Taking taylor expansion of (log n) in k 5.843 * [taylor]: Taking taylor expansion of n in k 5.852 * [taylor]: Taking taylor expansion of 0 in k 5.859 * [taylor]: Taking taylor expansion of 0 in k 5.868 * [taylor]: Taking taylor expansion of 0 in k 5.869 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.869 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.869 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.869 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.870 * [taylor]: Taking taylor expansion of 0.25 in k 5.870 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.870 * [taylor]: Taking taylor expansion of 1.0 in k 5.870 * [taylor]: Taking taylor expansion of k in k 5.870 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.870 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.870 * [taylor]: Taking taylor expansion of 2.0 in k 5.870 * [taylor]: Taking taylor expansion of (* n PI) in k 5.870 * [taylor]: Taking taylor expansion of n in k 5.870 * [taylor]: Taking taylor expansion of PI in k 5.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.871 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.871 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.871 * [taylor]: Taking taylor expansion of 0.25 in n 5.871 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.871 * [taylor]: Taking taylor expansion of 1.0 in n 5.871 * [taylor]: Taking taylor expansion of k in n 5.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.871 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.871 * [taylor]: Taking taylor expansion of 2.0 in n 5.871 * [taylor]: Taking taylor expansion of (* n PI) in n 5.871 * [taylor]: Taking taylor expansion of n in n 5.871 * [taylor]: Taking taylor expansion of PI in n 5.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.876 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.876 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.876 * [taylor]: Taking taylor expansion of 0.25 in n 5.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.876 * [taylor]: Taking taylor expansion of 1.0 in n 5.876 * [taylor]: Taking taylor expansion of k in n 5.876 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.876 * [taylor]: Taking taylor expansion of 2.0 in n 5.876 * [taylor]: Taking taylor expansion of (* n PI) in n 5.876 * [taylor]: Taking taylor expansion of n in n 5.876 * [taylor]: Taking taylor expansion of PI in n 5.887 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.887 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.887 * [taylor]: Taking taylor expansion of 0.25 in k 5.887 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.887 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.887 * [taylor]: Taking taylor expansion of 1.0 in k 5.887 * [taylor]: Taking taylor expansion of k in k 5.887 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.887 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.887 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.887 * [taylor]: Taking taylor expansion of 2.0 in k 5.887 * [taylor]: Taking taylor expansion of PI in k 5.888 * [taylor]: Taking taylor expansion of (log n) in k 5.888 * [taylor]: Taking taylor expansion of n in k 5.897 * [taylor]: Taking taylor expansion of 0 in k 5.912 * [taylor]: Taking taylor expansion of 0 in k 5.931 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.931 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.931 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.931 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.931 * [taylor]: Taking taylor expansion of 0.25 in k 5.931 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.931 * [taylor]: Taking taylor expansion of 1.0 in k 5.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.931 * [taylor]: Taking taylor expansion of k in k 5.931 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.931 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.931 * [taylor]: Taking taylor expansion of 2.0 in k 5.931 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.931 * [taylor]: Taking taylor expansion of PI in k 5.931 * [taylor]: Taking taylor expansion of n in k 5.932 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.932 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.932 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.932 * [taylor]: Taking taylor expansion of 0.25 in n 5.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.932 * [taylor]: Taking taylor expansion of 1.0 in n 5.932 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.932 * [taylor]: Taking taylor expansion of k in n 5.932 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.933 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.933 * [taylor]: Taking taylor expansion of 2.0 in n 5.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.933 * [taylor]: Taking taylor expansion of PI in n 5.933 * [taylor]: Taking taylor expansion of n in n 5.936 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.936 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.936 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.936 * [taylor]: Taking taylor expansion of 0.25 in n 5.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.936 * [taylor]: Taking taylor expansion of 1.0 in n 5.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.936 * [taylor]: Taking taylor expansion of k in n 5.936 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.936 * [taylor]: Taking taylor expansion of 2.0 in n 5.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.936 * [taylor]: Taking taylor expansion of PI in n 5.936 * [taylor]: Taking taylor expansion of n in n 5.940 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.940 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.940 * [taylor]: Taking taylor expansion of 0.25 in k 5.940 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.940 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.940 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.940 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.940 * [taylor]: Taking taylor expansion of 2.0 in k 5.940 * [taylor]: Taking taylor expansion of PI in k 5.941 * [taylor]: Taking taylor expansion of (log n) in k 5.941 * [taylor]: Taking taylor expansion of n in k 5.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.941 * [taylor]: Taking taylor expansion of 1.0 in k 5.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.941 * [taylor]: Taking taylor expansion of k in k 5.951 * [taylor]: Taking taylor expansion of 0 in k 5.958 * [taylor]: Taking taylor expansion of 0 in k 5.972 * [taylor]: Taking taylor expansion of 0 in k 5.974 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.974 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.974 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.974 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.974 * [taylor]: Taking taylor expansion of 0.25 in k 5.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.974 * [taylor]: Taking taylor expansion of k in k 5.974 * [taylor]: Taking taylor expansion of 1.0 in k 5.974 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.974 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.974 * [taylor]: Taking taylor expansion of -2.0 in k 5.974 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.974 * [taylor]: Taking taylor expansion of PI in k 5.974 * [taylor]: Taking taylor expansion of n in k 5.975 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.975 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.975 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.975 * [taylor]: Taking taylor expansion of 0.25 in n 5.975 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.975 * [taylor]: Taking taylor expansion of k in n 5.975 * [taylor]: Taking taylor expansion of 1.0 in n 5.975 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.975 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.975 * [taylor]: Taking taylor expansion of -2.0 in n 5.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.975 * [taylor]: Taking taylor expansion of PI in n 5.975 * [taylor]: Taking taylor expansion of n in n 5.979 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.979 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.979 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.979 * [taylor]: Taking taylor expansion of 0.25 in n 5.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.979 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.979 * [taylor]: Taking taylor expansion of k in n 5.979 * [taylor]: Taking taylor expansion of 1.0 in n 5.979 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.979 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.979 * [taylor]: Taking taylor expansion of -2.0 in n 5.979 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.979 * [taylor]: Taking taylor expansion of PI in n 5.979 * [taylor]: Taking taylor expansion of n in n 5.983 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.983 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.983 * [taylor]: Taking taylor expansion of 0.25 in k 5.983 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.983 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.983 * [taylor]: Taking taylor expansion of k in k 5.983 * [taylor]: Taking taylor expansion of 1.0 in k 5.983 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.983 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.983 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.983 * [taylor]: Taking taylor expansion of -2.0 in k 5.983 * [taylor]: Taking taylor expansion of PI in k 5.984 * [taylor]: Taking taylor expansion of (log n) in k 5.984 * [taylor]: Taking taylor expansion of n in k 5.993 * [taylor]: Taking taylor expansion of 0 in k 6.000 * [taylor]: Taking taylor expansion of 0 in k 6.009 * [taylor]: Taking taylor expansion of 0 in k 6.010 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 6.010 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.010 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.010 * [taylor]: Taking taylor expansion of 1.0 in k 6.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.010 * [taylor]: Taking taylor expansion of k in k 6.011 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.011 * [taylor]: Taking taylor expansion of 1.0 in k 6.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.011 * [taylor]: Taking taylor expansion of k in k 6.022 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.023 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.023 * [taylor]: Taking taylor expansion of 1.0 in k 6.023 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.023 * [taylor]: Taking taylor expansion of k in k 6.024 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.024 * [taylor]: Taking taylor expansion of 1.0 in k 6.024 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.024 * [taylor]: Taking taylor expansion of k in k 6.034 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.034 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.034 * [taylor]: Taking taylor expansion of 1.0 in k 6.034 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.034 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.034 * [taylor]: Taking taylor expansion of -1 in k 6.034 * [taylor]: Taking taylor expansion of k in k 6.035 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.035 * [taylor]: Taking taylor expansion of 1.0 in k 6.035 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.035 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.035 * [taylor]: Taking taylor expansion of -1 in k 6.036 * [taylor]: Taking taylor expansion of k in k 6.053 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 6.054 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.054 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.054 * [taylor]: Taking taylor expansion of 2.0 in n 6.054 * [taylor]: Taking taylor expansion of (* n PI) in n 6.054 * [taylor]: Taking taylor expansion of n in n 6.054 * [taylor]: Taking taylor expansion of PI in n 6.054 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.054 * [taylor]: Taking taylor expansion of 2.0 in n 6.054 * [taylor]: Taking taylor expansion of (* n PI) in n 6.054 * [taylor]: Taking taylor expansion of n in n 6.054 * [taylor]: Taking taylor expansion of PI in n 6.067 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.067 * [taylor]: Taking taylor expansion of 2.0 in n 6.067 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.067 * [taylor]: Taking taylor expansion of PI in n 6.067 * [taylor]: Taking taylor expansion of n in n 6.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.067 * [taylor]: Taking taylor expansion of 2.0 in n 6.067 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.067 * [taylor]: Taking taylor expansion of PI in n 6.067 * [taylor]: Taking taylor expansion of n in n 6.076 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.076 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.076 * [taylor]: Taking taylor expansion of -2.0 in n 6.076 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.076 * [taylor]: Taking taylor expansion of PI in n 6.076 * [taylor]: Taking taylor expansion of n in n 6.076 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.076 * [taylor]: Taking taylor expansion of -2.0 in n 6.076 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.076 * [taylor]: Taking taylor expansion of PI in n 6.076 * [taylor]: Taking taylor expansion of n in n 6.085 * * * [progress]: simplifying candidates 6.088 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* 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[simplify]: iteration done : 5001 enodes (cost 3197 ) 7.096 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (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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k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (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 (sqrt k)) 3) (* (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) (* n PI) (- (+ (fma (* 0.03125 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.25) (pow (log (* 2.0 PI)) 2)) (pow (* (* 2.0 PI) n) 0.25)) (fma (* (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.25)) (pow k 2)) 0.03125 (* (* 0.0625 (pow k 2)) (* (* (log n) (pow (* (* 2.0 PI) n) 0.25)) (log (* 2.0 PI)))))) (* (* 0.25 k) (+ (* (pow (* (* 2.0 PI) n) 0.25) (log (* 2.0 PI))) (* (log n) (pow (* (* 2.0 PI) n) 0.25))))) (pow (pow (* (* 2.0 PI) n) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (fma (* 0.03125 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.25) (pow (log (* 2.0 PI)) 2)) (pow (* (* 2.0 PI) n) 0.25)) (fma (* (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.25)) (pow k 2)) 0.03125 (* (* 0.0625 (pow k 2)) (* (* (log n) (pow (* (* 2.0 PI) n) 0.25)) (log (* 2.0 PI)))))) (* (* 0.25 k) (+ (* (pow (* (* 2.0 PI) n) 0.25) (log (* 2.0 PI))) (* (log n) (pow (* (* 2.0 PI) n) 0.25))))) (pow (pow (* (* 2.0 PI) n) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +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) 7.098 * * * [progress]: adding candidates to table 7.838 * * [progress]: iteration 4 / 4 7.838 * * * [progress]: picking best candidate 7.863 * * * * [pick]: Picked # 7.863 * * * [progress]: localizing error 7.878 * * * [progress]: generating rewritten candidates 7.878 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.887 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.907 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.911 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 7.948 * * * [progress]: generating series expansions 7.949 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.949 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.950 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.950 * [taylor]: Taking taylor expansion of 0.5 in k 7.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.950 * [taylor]: Taking taylor expansion of 1.0 in k 7.950 * [taylor]: Taking taylor expansion of k in k 7.950 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.950 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.950 * [taylor]: Taking taylor expansion of 2.0 in k 7.950 * [taylor]: Taking taylor expansion of (* n PI) in k 7.950 * [taylor]: Taking taylor expansion of n in k 7.950 * [taylor]: Taking taylor expansion of PI in k 7.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.951 * [taylor]: Taking taylor expansion of 0.5 in n 7.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.951 * [taylor]: Taking taylor expansion of 1.0 in n 7.951 * [taylor]: Taking taylor expansion of k in n 7.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.951 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.951 * [taylor]: Taking taylor expansion of 2.0 in n 7.951 * [taylor]: Taking taylor expansion of (* n PI) in n 7.951 * [taylor]: Taking taylor expansion of n in n 7.951 * [taylor]: Taking taylor expansion of PI in n 7.957 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.957 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.957 * [taylor]: Taking taylor expansion of 0.5 in n 7.957 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.957 * [taylor]: Taking taylor expansion of 1.0 in n 7.957 * [taylor]: Taking taylor expansion of k in n 7.957 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.957 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.957 * [taylor]: Taking taylor expansion of 2.0 in n 7.957 * [taylor]: Taking taylor expansion of (* n PI) in n 7.957 * [taylor]: Taking taylor expansion of n in n 7.957 * [taylor]: Taking taylor expansion of PI in n 7.962 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.962 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.962 * [taylor]: Taking taylor expansion of 0.5 in k 7.962 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.962 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.962 * [taylor]: Taking taylor expansion of 1.0 in k 7.962 * [taylor]: Taking taylor expansion of k in k 7.962 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.962 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.962 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.962 * [taylor]: Taking taylor expansion of 2.0 in k 7.962 * [taylor]: Taking taylor expansion of PI in k 7.963 * [taylor]: Taking taylor expansion of (log n) in k 7.963 * [taylor]: Taking taylor expansion of n in k 7.979 * [taylor]: Taking taylor expansion of 0 in k 7.995 * [taylor]: Taking taylor expansion of 0 in k 8.014 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.014 * [taylor]: Taking taylor expansion of 0.5 in k 8.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.014 * [taylor]: Taking taylor expansion of 1.0 in k 8.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.014 * [taylor]: Taking taylor expansion of k in k 8.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.014 * [taylor]: Taking taylor expansion of 2.0 in k 8.014 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.014 * [taylor]: Taking taylor expansion of PI in k 8.014 * [taylor]: Taking taylor expansion of n in k 8.015 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.015 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.015 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.015 * [taylor]: Taking taylor expansion of 0.5 in n 8.015 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.015 * [taylor]: Taking taylor expansion of 1.0 in n 8.015 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.015 * [taylor]: Taking taylor expansion of k in n 8.015 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.015 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.015 * [taylor]: Taking taylor expansion of 2.0 in n 8.015 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.015 * [taylor]: Taking taylor expansion of PI in n 8.015 * [taylor]: Taking taylor expansion of n in n 8.019 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.019 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.019 * [taylor]: Taking taylor expansion of 0.5 in n 8.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.019 * [taylor]: Taking taylor expansion of 1.0 in n 8.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.019 * [taylor]: Taking taylor expansion of k in n 8.019 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.019 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.019 * [taylor]: Taking taylor expansion of 2.0 in n 8.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.019 * [taylor]: Taking taylor expansion of PI in n 8.019 * [taylor]: Taking taylor expansion of n in n 8.023 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.023 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.023 * [taylor]: Taking taylor expansion of 0.5 in k 8.023 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.023 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.023 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.023 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.023 * [taylor]: Taking taylor expansion of 2.0 in k 8.023 * [taylor]: Taking taylor expansion of PI in k 8.024 * [taylor]: Taking taylor expansion of (log n) in k 8.024 * [taylor]: Taking taylor expansion of n in k 8.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.024 * [taylor]: Taking taylor expansion of 1.0 in k 8.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.024 * [taylor]: Taking taylor expansion of k in k 8.034 * [taylor]: Taking taylor expansion of 0 in k 8.041 * [taylor]: Taking taylor expansion of 0 in k 8.050 * [taylor]: Taking taylor expansion of 0 in k 8.051 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.051 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.051 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.051 * [taylor]: Taking taylor expansion of 0.5 in k 8.051 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.051 * [taylor]: Taking taylor expansion of k in k 8.051 * [taylor]: Taking taylor expansion of 1.0 in k 8.051 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.051 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.051 * [taylor]: Taking taylor expansion of -2.0 in k 8.051 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.051 * [taylor]: Taking taylor expansion of PI in k 8.051 * [taylor]: Taking taylor expansion of n in k 8.058 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.058 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.058 * [taylor]: Taking taylor expansion of 0.5 in n 8.058 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.058 * [taylor]: Taking taylor expansion of k in n 8.058 * [taylor]: Taking taylor expansion of 1.0 in n 8.058 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.058 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.058 * [taylor]: Taking taylor expansion of -2.0 in n 8.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.058 * [taylor]: Taking taylor expansion of PI in n 8.058 * [taylor]: Taking taylor expansion of n in n 8.062 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.062 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.062 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.062 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.062 * [taylor]: Taking taylor expansion of 0.5 in n 8.062 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.062 * [taylor]: Taking taylor expansion of k in n 8.062 * [taylor]: Taking taylor expansion of 1.0 in n 8.062 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.062 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.062 * [taylor]: Taking taylor expansion of -2.0 in n 8.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.062 * [taylor]: Taking taylor expansion of PI in n 8.062 * [taylor]: Taking taylor expansion of n in n 8.066 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.066 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.066 * [taylor]: Taking taylor expansion of 0.5 in k 8.066 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.066 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.066 * [taylor]: Taking taylor expansion of k in k 8.066 * [taylor]: Taking taylor expansion of 1.0 in k 8.066 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.066 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.066 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.066 * [taylor]: Taking taylor expansion of -2.0 in k 8.066 * [taylor]: Taking taylor expansion of PI in k 8.067 * [taylor]: Taking taylor expansion of (log n) in k 8.067 * [taylor]: Taking taylor expansion of n in k 8.076 * [taylor]: Taking taylor expansion of 0 in k 8.083 * [taylor]: Taking taylor expansion of 0 in k 8.091 * [taylor]: Taking taylor expansion of 0 in k 8.092 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.092 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.093 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.093 * [taylor]: Taking taylor expansion of 1.0 in k 8.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.093 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.093 * [taylor]: Taking taylor expansion of k in k 8.094 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.094 * [taylor]: Taking taylor expansion of 1.0 in k 8.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.094 * [taylor]: Taking taylor expansion of k in k 8.106 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.106 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.106 * [taylor]: Taking taylor expansion of 1.0 in k 8.106 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.106 * [taylor]: Taking taylor expansion of k in k 8.107 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.107 * [taylor]: Taking taylor expansion of 1.0 in k 8.107 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.107 * [taylor]: Taking taylor expansion of k in k 8.118 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.118 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.118 * [taylor]: Taking taylor expansion of 1.0 in k 8.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.118 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.118 * [taylor]: Taking taylor expansion of -1 in k 8.118 * [taylor]: Taking taylor expansion of k in k 8.120 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.120 * [taylor]: Taking taylor expansion of 1.0 in k 8.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.120 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.120 * [taylor]: Taking taylor expansion of -1 in k 8.120 * [taylor]: Taking taylor expansion of k in k 8.131 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.131 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 8.131 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.131 * [taylor]: Taking taylor expansion of 1.0 in k 8.131 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.131 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.131 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.131 * [taylor]: Taking taylor expansion of 1/4 in k 8.131 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.132 * [taylor]: Taking taylor expansion of k in k 8.132 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.132 * [taylor]: Taking taylor expansion of 1.0 in k 8.132 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.132 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.132 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.132 * [taylor]: Taking taylor expansion of 1/4 in k 8.133 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.133 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.133 * [taylor]: Taking taylor expansion of k in k 8.194 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 8.195 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.195 * [taylor]: Taking taylor expansion of 1.0 in k 8.195 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.195 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.195 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.195 * [taylor]: Taking taylor expansion of 1/4 in k 8.195 * [taylor]: Taking taylor expansion of (log k) in k 8.195 * [taylor]: Taking taylor expansion of k in k 8.195 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.195 * [taylor]: Taking taylor expansion of 1.0 in k 8.195 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.195 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.195 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.195 * [taylor]: Taking taylor expansion of 1/4 in k 8.195 * [taylor]: Taking taylor expansion of (log k) in k 8.195 * [taylor]: Taking taylor expansion of k in k 8.254 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 8.254 * [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 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.255 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.255 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.255 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.255 * [taylor]: Taking taylor expansion of -1 in k 8.255 * [taylor]: Taking taylor expansion of k in k 8.261 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 8.261 * [taylor]: Taking taylor expansion of 1.0 in k 8.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 8.261 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 8.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.261 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.261 * [taylor]: Taking taylor expansion of -1 in k 8.261 * [taylor]: Taking taylor expansion of k in k 8.304 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.304 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.304 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.304 * [taylor]: Taking taylor expansion of 2.0 in n 8.304 * [taylor]: Taking taylor expansion of (* n PI) in n 8.304 * [taylor]: Taking taylor expansion of n in n 8.304 * [taylor]: Taking taylor expansion of PI in n 8.304 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.304 * [taylor]: Taking taylor expansion of 2.0 in n 8.304 * [taylor]: Taking taylor expansion of (* n PI) in n 8.304 * [taylor]: Taking taylor expansion of n in n 8.304 * [taylor]: Taking taylor expansion of PI in n 8.317 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.317 * [taylor]: Taking taylor expansion of 2.0 in n 8.317 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.317 * [taylor]: Taking taylor expansion of PI in n 8.317 * [taylor]: Taking taylor expansion of n in n 8.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.317 * [taylor]: Taking taylor expansion of 2.0 in n 8.317 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.317 * [taylor]: Taking taylor expansion of PI in n 8.317 * [taylor]: Taking taylor expansion of n in n 8.326 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.326 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.326 * [taylor]: Taking taylor expansion of -2.0 in n 8.326 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.326 * [taylor]: Taking taylor expansion of PI in n 8.326 * [taylor]: Taking taylor expansion of n in n 8.326 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.326 * [taylor]: Taking taylor expansion of -2.0 in n 8.326 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.326 * [taylor]: Taking taylor expansion of PI in n 8.326 * [taylor]: Taking taylor expansion of n in n 8.335 * * * [progress]: simplifying candidates 8.343 * [simplify]: Simplifying using # : (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 (sqrt k))) (sqrt (sqrt k)))) (log1p (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) 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k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (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 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 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 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 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 (fabs (cbrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ 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))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (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))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (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))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (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 (sqrt (sqrt k)))) (/ (cbrt 1.0) (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 (* n PI)) (* 2.0 (* n PI)) (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) (* PI n) (+ (* (* 0.125 (pow k 2)) (+ (* (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 (* 2.0 PI)) (* (pow (* 2.0 (* n PI)) 0.5) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.5 k) (+ (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (* (log (* 2.0 PI)) (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 (pow k 2) (- +nan.0)) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (/ +nan.0 k) k)) (- (- (/ +nan.0 k) +nan.0) (/ (/ +nan.0 k) k)) (* 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) (pow k 2))) (- (/ +nan.0 (* (sqrt +nan.0) k)) (/ +nan.0 (* (pow (sqrt +nan.0) 3) (pow k 2))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.654 * * * [progress]: adding candidates to table 10.413 * [progress]: [Phase 3 of 3] Extracting. 10.413 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.416 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 10.416 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 10.455 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 10.490 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 10.533 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 10.568 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 10.605 * * * [regime]: Found split indices: #