11.406 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.080 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.085 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.086 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.088 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.091 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.096 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.119 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.120 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.122 * * * * [pick]: Picked # 0.122 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.146 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.149 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.183 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.183 * [taylor]: Taking taylor expansion of 0.5 in k 0.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.183 * [taylor]: Taking taylor expansion of 1.0 in k 0.183 * [taylor]: Taking taylor expansion of k in k 0.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.183 * [taylor]: Taking taylor expansion of 2.0 in k 0.183 * [taylor]: Taking taylor expansion of (* n PI) in k 0.183 * [taylor]: Taking taylor expansion of n in k 0.183 * [taylor]: Taking taylor expansion of PI in k 0.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.184 * [taylor]: Taking taylor expansion of 0.5 in n 0.184 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.184 * [taylor]: Taking taylor expansion of 1.0 in n 0.184 * [taylor]: Taking taylor expansion of k in n 0.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.185 * [taylor]: Taking taylor expansion of 2.0 in n 0.185 * [taylor]: Taking taylor expansion of (* n PI) in n 0.185 * [taylor]: Taking taylor expansion of n in n 0.185 * [taylor]: Taking taylor expansion of PI in n 0.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.190 * [taylor]: Taking taylor expansion of 0.5 in n 0.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.190 * [taylor]: Taking taylor expansion of 1.0 in n 0.190 * [taylor]: Taking taylor expansion of k in n 0.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.190 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.190 * [taylor]: Taking taylor expansion of 2.0 in n 0.190 * [taylor]: Taking taylor expansion of (* n PI) in n 0.190 * [taylor]: Taking taylor expansion of n in n 0.190 * [taylor]: Taking taylor expansion of PI in n 0.196 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.196 * [taylor]: Taking taylor expansion of 0.5 in k 0.196 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.196 * [taylor]: Taking taylor expansion of 1.0 in k 0.196 * [taylor]: Taking taylor expansion of k in k 0.196 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.196 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.196 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.196 * [taylor]: Taking taylor expansion of 2.0 in k 0.196 * [taylor]: Taking taylor expansion of PI in k 0.197 * [taylor]: Taking taylor expansion of (log n) in k 0.197 * [taylor]: Taking taylor expansion of n in k 0.206 * [taylor]: Taking taylor expansion of 0 in k 0.223 * [taylor]: Taking taylor expansion of 0 in k 0.242 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.243 * [taylor]: Taking taylor expansion of 0.5 in k 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.243 * [taylor]: Taking taylor expansion of 1.0 in k 0.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.243 * [taylor]: Taking taylor expansion of k in k 0.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.243 * [taylor]: Taking taylor expansion of 2.0 in k 0.243 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.243 * [taylor]: Taking taylor expansion of PI in k 0.243 * [taylor]: Taking taylor expansion of n in k 0.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.244 * [taylor]: Taking taylor expansion of 0.5 in n 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.244 * [taylor]: Taking taylor expansion of 1.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.244 * [taylor]: Taking taylor expansion of k in n 0.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.244 * [taylor]: Taking taylor expansion of 2.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.244 * [taylor]: Taking taylor expansion of PI in n 0.244 * [taylor]: Taking taylor expansion of n in n 0.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.248 * [taylor]: Taking taylor expansion of 0.5 in n 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.248 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.258 * [taylor]: Taking taylor expansion of 0.5 in k 0.258 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.258 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.258 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.258 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.258 * [taylor]: Taking taylor expansion of 2.0 in k 0.258 * [taylor]: Taking taylor expansion of PI in k 0.259 * [taylor]: Taking taylor expansion of (log n) in k 0.259 * [taylor]: Taking taylor expansion of n in k 0.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.259 * [taylor]: Taking taylor expansion of 1.0 in k 0.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.259 * [taylor]: Taking taylor expansion of k in k 0.269 * [taylor]: Taking taylor expansion of 0 in k 0.276 * [taylor]: Taking taylor expansion of 0 in k 0.285 * [taylor]: Taking taylor expansion of 0 in k 0.286 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.286 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.287 * [taylor]: Taking taylor expansion of 0.5 in k 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.287 * [taylor]: Taking taylor expansion of k in k 0.287 * [taylor]: Taking taylor expansion of 1.0 in k 0.287 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.287 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.287 * [taylor]: Taking taylor expansion of -2.0 in k 0.287 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.287 * [taylor]: Taking taylor expansion of PI in k 0.287 * [taylor]: Taking taylor expansion of n in k 0.288 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.288 * [taylor]: Taking taylor expansion of 0.5 in n 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.288 * [taylor]: Taking taylor expansion of k in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of -2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.292 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.292 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.292 * [taylor]: Taking taylor expansion of -2.0 in n 0.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.296 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.296 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.296 * [taylor]: Taking taylor expansion of -2.0 in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.297 * [taylor]: Taking taylor expansion of (log n) in k 0.297 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.313 * [taylor]: Taking taylor expansion of 0 in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.323 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.323 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.323 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.323 * [taylor]: Taking taylor expansion of 1.0 in k 0.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.323 * [taylor]: Taking taylor expansion of k in k 0.324 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.336 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.336 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.336 * [taylor]: Taking taylor expansion of 1.0 in k 0.336 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.336 * [taylor]: Taking taylor expansion of k in k 0.337 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.337 * [taylor]: Taking taylor expansion of 1.0 in k 0.337 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.337 * [taylor]: Taking taylor expansion of k in k 0.353 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.354 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.354 * [taylor]: Taking taylor expansion of 1.0 in k 0.354 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.354 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.354 * [taylor]: Taking taylor expansion of -1 in k 0.354 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.355 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.355 * [taylor]: Taking taylor expansion of -1 in k 0.355 * [taylor]: Taking taylor expansion of k in k 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.367 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.367 * [taylor]: Taking taylor expansion of 2.0 in n 0.367 * [taylor]: Taking taylor expansion of (* n PI) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.367 * [taylor]: Taking taylor expansion of PI in n 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.368 * [taylor]: Taking taylor expansion of (* n PI) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.380 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.389 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.389 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.389 * [taylor]: Taking taylor expansion of -2.0 in n 0.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.390 * [taylor]: Taking taylor expansion of -2.0 in n 0.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.390 * [taylor]: Taking taylor expansion of PI in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.398 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.399 * [taylor]: Taking taylor expansion of 0.5 in n 0.399 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.399 * [taylor]: Taking taylor expansion of 2.0 in n 0.399 * [taylor]: Taking taylor expansion of (* n PI) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.400 * [taylor]: Taking taylor expansion of PI in n 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.405 * [taylor]: Taking taylor expansion of 1.0 in k 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.405 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.406 * [taylor]: Taking taylor expansion of 0.5 in k 0.406 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.406 * [taylor]: Taking taylor expansion of 1.0 in k 0.406 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.406 * [taylor]: Taking taylor expansion of 2.0 in k 0.406 * [taylor]: Taking taylor expansion of (* n PI) in k 0.407 * [taylor]: Taking taylor expansion of n in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.409 * [taylor]: Taking taylor expansion of 0.5 in k 0.409 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.409 * [taylor]: Taking taylor expansion of 2.0 in k 0.409 * [taylor]: Taking taylor expansion of (* n PI) in k 0.409 * [taylor]: Taking taylor expansion of n in k 0.409 * [taylor]: Taking taylor expansion of PI in k 0.410 * [taylor]: Taking taylor expansion of 0 in n 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of +nan.0 in n 0.416 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.416 * [taylor]: Taking taylor expansion of 0.5 in n 0.416 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.416 * [taylor]: Taking taylor expansion of 1.0 in n 0.416 * [taylor]: Taking taylor expansion of (log PI) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.418 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.418 * [taylor]: Taking taylor expansion of 1.0 in n 0.418 * [taylor]: Taking taylor expansion of (log n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.419 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.419 * [taylor]: Taking taylor expansion of 1.0 in n 0.419 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.419 * [taylor]: Taking taylor expansion of 2.0 in n 0.445 * [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 0.445 * [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 0.445 * [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 0.445 * [taylor]: Taking taylor expansion of +nan.0 in n 0.445 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.445 * [taylor]: Taking taylor expansion of 0.5 in n 0.445 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.445 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.445 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log PI) in n 0.445 * [taylor]: Taking taylor expansion of PI in n 0.447 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.447 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (log n) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.448 * [taylor]: Taking taylor expansion of 2.0 in n 0.453 * [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 0.453 * [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 0.453 * [taylor]: Taking taylor expansion of +nan.0 in n 0.453 * [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 0.453 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.454 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.454 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.454 * [taylor]: Taking taylor expansion of 2.0 in n 0.455 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.455 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.456 * [taylor]: Taking taylor expansion of 1.0 in n 0.456 * [taylor]: Taking taylor expansion of (log PI) in n 0.456 * [taylor]: Taking taylor expansion of PI in n 0.457 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.457 * [taylor]: Taking taylor expansion of 1.0 in n 0.457 * [taylor]: Taking taylor expansion of (log n) in n 0.457 * [taylor]: Taking taylor expansion of n in n 0.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.462 * [taylor]: Taking taylor expansion of 2.0 in n 0.462 * [taylor]: Taking taylor expansion of (* n PI) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.462 * [taylor]: Taking taylor expansion of PI in n 0.511 * [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 0.511 * [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 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.513 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (log n) in n 0.513 * [taylor]: Taking taylor expansion of n in n 0.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.525 * [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 0.525 * [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 0.525 * [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 0.525 * [taylor]: Taking taylor expansion of +nan.0 in n 0.525 * [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 0.525 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.525 * [taylor]: Taking taylor expansion of 0.5 in n 0.525 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.525 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.525 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.525 * [taylor]: Taking taylor expansion of 2.0 in n 0.527 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.527 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log PI) in n 0.527 * [taylor]: Taking taylor expansion of PI in n 0.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log n) in n 0.529 * [taylor]: Taking taylor expansion of n in n 0.533 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.533 * [taylor]: Taking taylor expansion of 2.0 in n 0.533 * [taylor]: Taking taylor expansion of (* n PI) in n 0.533 * [taylor]: Taking taylor expansion of n in n 0.533 * [taylor]: Taking taylor expansion of PI in n 0.536 * [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 0.536 * [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 0.537 * [taylor]: Taking taylor expansion of +nan.0 in n 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.537 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.537 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log PI) in n 0.539 * [taylor]: Taking taylor expansion of PI in n 0.540 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log n) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.545 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.545 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.545 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.545 * [taylor]: Taking taylor expansion of 2.0 in n 0.545 * [taylor]: Taking taylor expansion of (* n PI) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.545 * [taylor]: Taking taylor expansion of PI in n 0.623 * [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 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.623 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.624 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.624 * [taylor]: Taking taylor expansion of PI in n 0.624 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.627 * [taylor]: Taking taylor expansion of 1.0 in k 0.627 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.627 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.629 * [taylor]: Taking taylor expansion of 0.5 in k 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.629 * [taylor]: Taking taylor expansion of 1.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.629 * [taylor]: Taking taylor expansion of 2.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.629 * [taylor]: Taking taylor expansion of PI in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.630 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.631 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.631 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.631 * [taylor]: Taking taylor expansion of 0.5 in k 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.631 * [taylor]: Taking taylor expansion of 1.0 in k 0.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.631 * [taylor]: Taking taylor expansion of k in k 0.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.632 * [taylor]: Taking taylor expansion of 2.0 in k 0.632 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.632 * [taylor]: Taking taylor expansion of PI in k 0.632 * [taylor]: Taking taylor expansion of n in k 0.633 * [taylor]: Taking taylor expansion of 0 in n 0.634 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.634 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.634 * [taylor]: Taking taylor expansion of +nan.0 in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.644 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.644 * [taylor]: Taking taylor expansion of +nan.0 in n 0.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.644 * [taylor]: Taking taylor expansion of 0.5 in n 0.644 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.644 * [taylor]: Taking taylor expansion of 2.0 in n 0.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.644 * [taylor]: Taking taylor expansion of PI in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.645 * [taylor]: Taking taylor expansion of 1.0 in n 0.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.645 * [taylor]: Taking taylor expansion of k in n 0.662 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.662 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.662 * [taylor]: Taking taylor expansion of +nan.0 in n 0.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.662 * [taylor]: Taking taylor expansion of 0.5 in n 0.662 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.662 * [taylor]: Taking taylor expansion of 2.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.662 * [taylor]: Taking taylor expansion of PI in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.663 * [taylor]: Taking taylor expansion of k in n 0.672 * [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 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.673 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.673 * [taylor]: Taking taylor expansion of 0.5 in n 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.673 * [taylor]: Taking taylor expansion of k in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.673 * [taylor]: Taking taylor expansion of -2.0 in n 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.673 * [taylor]: Taking taylor expansion of PI in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.676 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.676 * [taylor]: Taking taylor expansion of -1 in n 0.677 * [taylor]: Taking taylor expansion of k in n 0.677 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.677 * [taylor]: Taking taylor expansion of 1.0 in k 0.678 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.678 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.678 * [taylor]: Taking taylor expansion of 0.5 in k 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.678 * [taylor]: Taking taylor expansion of k in k 0.678 * [taylor]: Taking taylor expansion of 1.0 in k 0.678 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.678 * [taylor]: Taking taylor expansion of -2.0 in k 0.678 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.678 * [taylor]: Taking taylor expansion of PI in k 0.678 * [taylor]: Taking taylor expansion of n in k 0.679 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.679 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.679 * [taylor]: Taking taylor expansion of -1 in k 0.679 * [taylor]: Taking taylor expansion of k in k 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.680 * [taylor]: Taking taylor expansion of 1.0 in k 0.680 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.680 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.681 * [taylor]: Taking taylor expansion of 0.5 in k 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.681 * [taylor]: Taking taylor expansion of k in k 0.681 * [taylor]: Taking taylor expansion of 1.0 in k 0.681 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.681 * [taylor]: Taking taylor expansion of -2.0 in k 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.681 * [taylor]: Taking taylor expansion of PI in k 0.681 * [taylor]: Taking taylor expansion of n in k 0.682 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.682 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.682 * [taylor]: Taking taylor expansion of -1 in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.683 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.683 * [taylor]: Taking taylor expansion of +nan.0 in n 0.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.683 * [taylor]: Taking taylor expansion of 0.5 in n 0.683 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of -2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.693 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.693 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.693 * [taylor]: Taking taylor expansion of +nan.0 in n 0.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.693 * [taylor]: Taking taylor expansion of 0.5 in n 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.693 * [taylor]: Taking taylor expansion of k in n 0.693 * [taylor]: Taking taylor expansion of 1.0 in n 0.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.693 * [taylor]: Taking taylor expansion of -2.0 in n 0.693 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.693 * [taylor]: Taking taylor expansion of PI in n 0.693 * [taylor]: Taking taylor expansion of n in n 0.717 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.717 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.717 * [taylor]: Taking taylor expansion of +nan.0 in n 0.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.717 * [taylor]: Taking taylor expansion of 0.5 in n 0.717 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.717 * [taylor]: Taking taylor expansion of k in n 0.717 * [taylor]: Taking taylor expansion of 1.0 in n 0.717 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.717 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.717 * [taylor]: Taking taylor expansion of -2.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.717 * [taylor]: Taking taylor expansion of PI in n 0.717 * [taylor]: Taking taylor expansion of n in n 0.726 * * * [progress]: simplifying candidates 0.729 * [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))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (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)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +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) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.827 * * * [progress]: adding candidates to table 1.264 * * [progress]: iteration 2 / 4 1.264 * * * [progress]: picking best candidate 1.288 * * * * [pick]: Picked # 1.289 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.318 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.321 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.335 * * * [progress]: generating series expansions 1.335 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.336 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.336 * [taylor]: Taking taylor expansion of 0.5 in k 1.336 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.336 * [taylor]: Taking taylor expansion of 1.0 in k 1.336 * [taylor]: Taking taylor expansion of k in k 1.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.336 * [taylor]: Taking taylor expansion of 2.0 in k 1.336 * [taylor]: Taking taylor expansion of (* n PI) in k 1.336 * [taylor]: Taking taylor expansion of n in k 1.336 * [taylor]: Taking taylor expansion of PI in k 1.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.338 * [taylor]: Taking taylor expansion of 0.5 in n 1.338 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.338 * [taylor]: Taking taylor expansion of 1.0 in n 1.338 * [taylor]: Taking taylor expansion of k in n 1.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.338 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.338 * [taylor]: Taking taylor expansion of 2.0 in n 1.338 * [taylor]: Taking taylor expansion of (* n PI) in n 1.338 * [taylor]: Taking taylor expansion of n in n 1.338 * [taylor]: Taking taylor expansion of PI in n 1.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.343 * [taylor]: Taking taylor expansion of 0.5 in n 1.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.343 * [taylor]: Taking taylor expansion of 1.0 in n 1.343 * [taylor]: Taking taylor expansion of k in n 1.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.343 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.343 * [taylor]: Taking taylor expansion of 2.0 in n 1.343 * [taylor]: Taking taylor expansion of (* n PI) in n 1.343 * [taylor]: Taking taylor expansion of n in n 1.343 * [taylor]: Taking taylor expansion of PI in n 1.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.349 * [taylor]: Taking taylor expansion of 0.5 in k 1.349 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.349 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.349 * [taylor]: Taking taylor expansion of 1.0 in k 1.349 * [taylor]: Taking taylor expansion of k in k 1.349 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.349 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.349 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.349 * [taylor]: Taking taylor expansion of 2.0 in k 1.349 * [taylor]: Taking taylor expansion of PI in k 1.350 * [taylor]: Taking taylor expansion of (log n) in k 1.350 * [taylor]: Taking taylor expansion of n in k 1.359 * [taylor]: Taking taylor expansion of 0 in k 1.375 * [taylor]: Taking taylor expansion of 0 in k 1.400 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.401 * [taylor]: Taking taylor expansion of 0.5 in k 1.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.401 * [taylor]: Taking taylor expansion of 1.0 in k 1.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.401 * [taylor]: Taking taylor expansion of k in k 1.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.401 * [taylor]: Taking taylor expansion of 2.0 in k 1.401 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.401 * [taylor]: Taking taylor expansion of PI in k 1.401 * [taylor]: Taking taylor expansion of n in k 1.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.402 * [taylor]: Taking taylor expansion of 0.5 in n 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.402 * [taylor]: Taking taylor expansion of 1.0 in n 1.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.402 * [taylor]: Taking taylor expansion of k in n 1.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.402 * [taylor]: Taking taylor expansion of 2.0 in n 1.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.402 * [taylor]: Taking taylor expansion of PI in n 1.402 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.406 * [taylor]: Taking taylor expansion of 0.5 in n 1.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.406 * [taylor]: Taking taylor expansion of 1.0 in n 1.406 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.406 * [taylor]: Taking taylor expansion of k in n 1.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.406 * [taylor]: Taking taylor expansion of 2.0 in n 1.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.406 * [taylor]: Taking taylor expansion of PI in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.410 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.410 * [taylor]: Taking taylor expansion of 0.5 in k 1.410 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.410 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.410 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.410 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.410 * [taylor]: Taking taylor expansion of 2.0 in k 1.410 * [taylor]: Taking taylor expansion of PI in k 1.411 * [taylor]: Taking taylor expansion of (log n) in k 1.411 * [taylor]: Taking taylor expansion of n in k 1.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.411 * [taylor]: Taking taylor expansion of 1.0 in k 1.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.411 * [taylor]: Taking taylor expansion of k in k 1.421 * [taylor]: Taking taylor expansion of 0 in k 1.428 * [taylor]: Taking taylor expansion of 0 in k 1.436 * [taylor]: Taking taylor expansion of 0 in k 1.438 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.438 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.438 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.438 * [taylor]: Taking taylor expansion of 0.5 in k 1.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.438 * [taylor]: Taking taylor expansion of k in k 1.438 * [taylor]: Taking taylor expansion of 1.0 in k 1.438 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.438 * [taylor]: Taking taylor expansion of -2.0 in k 1.438 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.438 * [taylor]: Taking taylor expansion of PI in k 1.438 * [taylor]: Taking taylor expansion of n in k 1.439 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.439 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.439 * [taylor]: Taking taylor expansion of 0.5 in n 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.439 * [taylor]: Taking taylor expansion of k in n 1.439 * [taylor]: Taking taylor expansion of 1.0 in n 1.439 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.440 * [taylor]: Taking taylor expansion of -2.0 in n 1.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.440 * [taylor]: Taking taylor expansion of PI in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.444 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.444 * [taylor]: Taking taylor expansion of 0.5 in n 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.444 * [taylor]: Taking taylor expansion of k in n 1.444 * [taylor]: Taking taylor expansion of 1.0 in n 1.444 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.444 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.444 * [taylor]: Taking taylor expansion of -2.0 in n 1.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.444 * [taylor]: Taking taylor expansion of PI in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.448 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.448 * [taylor]: Taking taylor expansion of 0.5 in k 1.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.448 * [taylor]: Taking taylor expansion of k in k 1.448 * [taylor]: Taking taylor expansion of 1.0 in k 1.448 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.448 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.448 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.448 * [taylor]: Taking taylor expansion of -2.0 in k 1.448 * [taylor]: Taking taylor expansion of PI in k 1.449 * [taylor]: Taking taylor expansion of (log n) in k 1.449 * [taylor]: Taking taylor expansion of n in k 1.458 * [taylor]: Taking taylor expansion of 0 in k 1.465 * [taylor]: Taking taylor expansion of 0 in k 1.481 * [taylor]: Taking taylor expansion of 0 in k 1.481 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.482 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.482 * [taylor]: Taking taylor expansion of k in k 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.483 * [taylor]: Taking taylor expansion of 1.0 in k 1.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.483 * [taylor]: Taking taylor expansion of k in k 1.494 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.495 * [taylor]: Taking taylor expansion of k in k 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.496 * [taylor]: Taking taylor expansion of 1.0 in k 1.496 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.496 * [taylor]: Taking taylor expansion of k in k 1.506 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.506 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.506 * [taylor]: Taking taylor expansion of 1.0 in k 1.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.506 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.506 * [taylor]: Taking taylor expansion of -1 in k 1.506 * [taylor]: Taking taylor expansion of k in k 1.508 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.508 * [taylor]: Taking taylor expansion of 1.0 in k 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.508 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.508 * [taylor]: Taking taylor expansion of -1 in k 1.508 * [taylor]: Taking taylor expansion of k in k 1.519 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.519 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.519 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.519 * [taylor]: Taking taylor expansion of k in k 1.521 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.521 * [taylor]: Taking taylor expansion of 1.0 in k 1.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.521 * [taylor]: Taking taylor expansion of k in k 1.532 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.532 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.532 * [taylor]: Taking taylor expansion of 1.0 in k 1.532 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.532 * [taylor]: Taking taylor expansion of k in k 1.533 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.533 * [taylor]: Taking taylor expansion of 1.0 in k 1.533 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.543 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.543 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.543 * [taylor]: Taking taylor expansion of 1.0 in k 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.543 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.543 * [taylor]: Taking taylor expansion of -1 in k 1.543 * [taylor]: Taking taylor expansion of k in k 1.545 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.545 * [taylor]: Taking taylor expansion of 1.0 in k 1.545 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.545 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.545 * [taylor]: Taking taylor expansion of -1 in k 1.545 * [taylor]: Taking taylor expansion of k in k 1.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.557 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.557 * [taylor]: Taking taylor expansion of 2.0 in n 1.557 * [taylor]: Taking taylor expansion of (* n PI) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.563 * [taylor]: Taking taylor expansion of 2.0 in n 1.563 * [taylor]: Taking taylor expansion of (* n PI) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.576 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.576 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.576 * [taylor]: Taking taylor expansion of 2.0 in n 1.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.576 * [taylor]: Taking taylor expansion of PI in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.577 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.577 * [taylor]: Taking taylor expansion of 2.0 in n 1.577 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.577 * [taylor]: Taking taylor expansion of PI in n 1.577 * [taylor]: Taking taylor expansion of n in n 1.585 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.585 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.586 * [taylor]: Taking taylor expansion of -2.0 in n 1.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.586 * [taylor]: Taking taylor expansion of PI in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.586 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.586 * [taylor]: Taking taylor expansion of -2.0 in n 1.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.586 * [taylor]: Taking taylor expansion of PI in n 1.586 * [taylor]: Taking taylor expansion of n in n 1.595 * * * [progress]: simplifying candidates 1.597 * [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 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.604 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 1.614 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 1.654 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 1.658 * [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))) 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))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (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) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (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) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 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) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.659 * * * [progress]: adding candidates to table 2.113 * * [progress]: iteration 3 / 4 2.113 * * * [progress]: picking best candidate 2.138 * * * * [pick]: Picked # 2.138 * * * [progress]: localizing error 2.166 * * * [progress]: generating rewritten candidates 2.166 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.176 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 2.176 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1) 2.177 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.196 * * * [progress]: generating series expansions 2.196 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.197 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.197 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.197 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.197 * [taylor]: Taking taylor expansion of 0.5 in k 2.197 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.197 * [taylor]: Taking taylor expansion of 1.0 in k 2.197 * [taylor]: Taking taylor expansion of k in k 2.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.197 * [taylor]: Taking taylor expansion of 2.0 in k 2.197 * [taylor]: Taking taylor expansion of (* n PI) in k 2.198 * [taylor]: Taking taylor expansion of n in k 2.198 * [taylor]: Taking taylor expansion of PI in k 2.199 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.199 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.199 * [taylor]: Taking taylor expansion of 0.5 in n 2.199 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.199 * [taylor]: Taking taylor expansion of 1.0 in n 2.199 * [taylor]: Taking taylor expansion of k in n 2.199 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.199 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.199 * [taylor]: Taking taylor expansion of 2.0 in n 2.199 * [taylor]: Taking taylor expansion of (* n PI) in n 2.199 * [taylor]: Taking taylor expansion of n in n 2.199 * [taylor]: Taking taylor expansion of PI in n 2.204 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.204 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.204 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.204 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.204 * [taylor]: Taking taylor expansion of 0.5 in n 2.204 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.204 * [taylor]: Taking taylor expansion of 1.0 in n 2.204 * [taylor]: Taking taylor expansion of k in n 2.204 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.204 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.204 * [taylor]: Taking taylor expansion of 2.0 in n 2.205 * [taylor]: Taking taylor expansion of (* n PI) in n 2.205 * [taylor]: Taking taylor expansion of n in n 2.205 * [taylor]: Taking taylor expansion of PI in n 2.210 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.210 * [taylor]: Taking taylor expansion of 0.5 in k 2.210 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.210 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.210 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.210 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.210 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.210 * [taylor]: Taking taylor expansion of 2.0 in k 2.210 * [taylor]: Taking taylor expansion of PI in k 2.211 * [taylor]: Taking taylor expansion of (log n) in k 2.211 * [taylor]: Taking taylor expansion of n in k 2.220 * [taylor]: Taking taylor expansion of 0 in k 2.243 * [taylor]: Taking taylor expansion of 0 in k 2.262 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.262 * [taylor]: Taking taylor expansion of 0.5 in k 2.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.262 * [taylor]: Taking taylor expansion of 1.0 in k 2.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.262 * [taylor]: Taking taylor expansion of k in k 2.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.262 * [taylor]: Taking taylor expansion of 2.0 in k 2.262 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.262 * [taylor]: Taking taylor expansion of PI in k 2.262 * [taylor]: Taking taylor expansion of n in k 2.263 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.264 * [taylor]: Taking taylor expansion of 0.5 in n 2.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.264 * [taylor]: Taking taylor expansion of 1.0 in n 2.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.264 * [taylor]: Taking taylor expansion of k in n 2.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.264 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.264 * [taylor]: Taking taylor expansion of 2.0 in n 2.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.264 * [taylor]: Taking taylor expansion of PI in n 2.264 * [taylor]: Taking taylor expansion of n in n 2.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.268 * [taylor]: Taking taylor expansion of 0.5 in n 2.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.268 * [taylor]: Taking taylor expansion of 1.0 in n 2.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.268 * [taylor]: Taking taylor expansion of k in n 2.268 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.268 * [taylor]: Taking taylor expansion of 2.0 in n 2.268 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.268 * [taylor]: Taking taylor expansion of PI in n 2.268 * [taylor]: Taking taylor expansion of n in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.272 * [taylor]: Taking taylor expansion of 0.5 in k 2.272 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.272 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.272 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.272 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.272 * [taylor]: Taking taylor expansion of 2.0 in k 2.272 * [taylor]: Taking taylor expansion of PI in k 2.273 * [taylor]: Taking taylor expansion of (log n) in k 2.273 * [taylor]: Taking taylor expansion of n in k 2.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.273 * [taylor]: Taking taylor expansion of 1.0 in k 2.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.273 * [taylor]: Taking taylor expansion of k in k 2.282 * [taylor]: Taking taylor expansion of 0 in k 2.289 * [taylor]: Taking taylor expansion of 0 in k 2.298 * [taylor]: Taking taylor expansion of 0 in k 2.300 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.300 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.300 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.300 * [taylor]: Taking taylor expansion of 0.5 in k 2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.300 * [taylor]: Taking taylor expansion of k in k 2.300 * [taylor]: Taking taylor expansion of 1.0 in k 2.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.300 * [taylor]: Taking taylor expansion of -2.0 in k 2.300 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.300 * [taylor]: Taking taylor expansion of PI in k 2.300 * [taylor]: Taking taylor expansion of n in k 2.301 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.301 * [taylor]: Taking taylor expansion of 0.5 in n 2.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.301 * [taylor]: Taking taylor expansion of k in n 2.301 * [taylor]: Taking taylor expansion of 1.0 in n 2.301 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.301 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.301 * [taylor]: Taking taylor expansion of -2.0 in n 2.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.301 * [taylor]: Taking taylor expansion of PI in n 2.301 * [taylor]: Taking taylor expansion of n in n 2.305 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.305 * [taylor]: Taking taylor expansion of 0.5 in n 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.305 * [taylor]: Taking taylor expansion of k in n 2.305 * [taylor]: Taking taylor expansion of 1.0 in n 2.305 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.305 * [taylor]: Taking taylor expansion of -2.0 in n 2.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.305 * [taylor]: Taking taylor expansion of PI in n 2.305 * [taylor]: Taking taylor expansion of n in n 2.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.309 * [taylor]: Taking taylor expansion of 0.5 in k 2.309 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.309 * [taylor]: Taking taylor expansion of k in k 2.309 * [taylor]: Taking taylor expansion of 1.0 in k 2.309 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.309 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.309 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.309 * [taylor]: Taking taylor expansion of -2.0 in k 2.309 * [taylor]: Taking taylor expansion of PI in k 2.310 * [taylor]: Taking taylor expansion of (log n) in k 2.310 * [taylor]: Taking taylor expansion of n in k 2.326 * [taylor]: Taking taylor expansion of 0 in k 2.333 * [taylor]: Taking taylor expansion of 0 in k 2.342 * [taylor]: Taking taylor expansion of 0 in k 2.343 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 2.343 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 2.343 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.343 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.343 * [taylor]: Taking taylor expansion of 1/3 in k 2.343 * [taylor]: Taking taylor expansion of (log k) in k 2.343 * [taylor]: Taking taylor expansion of k in k 2.343 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.343 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.343 * [taylor]: Taking taylor expansion of 1/3 in k 2.343 * [taylor]: Taking taylor expansion of (log k) in k 2.343 * [taylor]: Taking taylor expansion of k in k 2.391 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 2.391 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.391 * [taylor]: Taking taylor expansion of 1/3 in k 2.391 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.391 * [taylor]: Taking taylor expansion of k in k 2.392 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.392 * [taylor]: Taking taylor expansion of 1/3 in k 2.392 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.392 * [taylor]: Taking taylor expansion of k in k 2.451 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 2.451 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.451 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.451 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.451 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.451 * [taylor]: Taking taylor expansion of 1/3 in k 2.451 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.451 * [taylor]: Taking taylor expansion of k in k 2.452 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.452 * [taylor]: Taking taylor expansion of -1 in k 2.453 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.453 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.453 * [taylor]: Taking taylor expansion of 1/3 in k 2.453 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.453 * [taylor]: Taking taylor expansion of k in k 2.454 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.454 * [taylor]: Taking taylor expansion of -1 in k 2.522 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1) 2.522 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 2.522 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.522 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.522 * [taylor]: Taking taylor expansion of 1/3 in k 2.522 * [taylor]: Taking taylor expansion of (log k) in k 2.522 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.523 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.523 * [taylor]: Taking taylor expansion of 1/3 in k 2.523 * [taylor]: Taking taylor expansion of (log k) in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.576 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 2.577 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.577 * [taylor]: Taking taylor expansion of 1/3 in k 2.577 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.577 * [taylor]: Taking taylor expansion of k in k 2.577 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.578 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.578 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.578 * [taylor]: Taking taylor expansion of 1/3 in k 2.578 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.628 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 2.628 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.628 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.628 * [taylor]: Taking taylor expansion of 1/3 in k 2.628 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.628 * [taylor]: Taking taylor expansion of k in k 2.629 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.629 * [taylor]: Taking taylor expansion of -1 in k 2.635 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.635 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.635 * [taylor]: Taking taylor expansion of 1/3 in k 2.635 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.635 * [taylor]: Taking taylor expansion of k in k 2.636 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.636 * [taylor]: Taking taylor expansion of -1 in k 2.695 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.696 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 2.696 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 2.696 * [taylor]: Taking taylor expansion of 1.0 in k 2.696 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 2.696 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 2.696 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 2.696 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 2.696 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 2.696 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 2.696 * [taylor]: Taking taylor expansion of 1/6 in k 2.696 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.696 * [taylor]: Taking taylor expansion of k in k 2.697 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 2.697 * [taylor]: Taking taylor expansion of 1.0 in k 2.697 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 2.697 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 2.697 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 2.697 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 2.697 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 2.697 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 2.697 * [taylor]: Taking taylor expansion of 1/6 in k 2.697 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.697 * [taylor]: Taking taylor expansion of k in k 2.766 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in (k) around 0 2.766 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 2.766 * [taylor]: Taking taylor expansion of 1.0 in k 2.766 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 2.767 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.767 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.767 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.767 * [taylor]: Taking taylor expansion of 1/6 in k 2.767 * [taylor]: Taking taylor expansion of (log k) in k 2.767 * [taylor]: Taking taylor expansion of k in k 2.767 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 2.767 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 2.767 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 2.767 * [taylor]: Taking taylor expansion of 1.0 in k 2.767 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 2.767 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.768 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.768 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.768 * [taylor]: Taking taylor expansion of 1/6 in k 2.768 * [taylor]: Taking taylor expansion of (log k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.768 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 2.768 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 2.835 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 2.835 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 2.835 * [taylor]: Taking taylor expansion of 1.0 in k 2.835 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 2.835 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 2.835 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 2.836 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 2.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 2.836 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 2.836 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.836 * [taylor]: Taking taylor expansion of -1 in k 2.839 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.839 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.839 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.839 * [taylor]: Taking taylor expansion of 1/6 in k 2.839 * [taylor]: Taking taylor expansion of (log k) in k 2.839 * [taylor]: Taking taylor expansion of k in k 2.840 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 2.840 * [taylor]: Taking taylor expansion of 1.0 in k 2.840 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 2.840 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 2.840 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 2.841 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 2.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 2.841 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 2.841 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.841 * [taylor]: Taking taylor expansion of -1 in k 2.844 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.844 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.844 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.844 * [taylor]: Taking taylor expansion of 1/6 in k 2.844 * [taylor]: Taking taylor expansion of (log k) in k 2.844 * [taylor]: Taking taylor expansion of k in k 2.969 * * * [progress]: simplifying candidates 2.973 * [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 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log1p (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (- (log 1.0) (log (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (/ (* (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) 1) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) 1) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt 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k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 1) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt 1))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 1) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) 1) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (- (+ (* 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)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (pow (/ 1 k) 1/6) (/ 1 (fabs (pow k 1/3))))) (* 1.0 (* (pow (/ -1 k) 1/6) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))) 2.985 * * [simplify]: iteration 0 : 929 enodes (cost 2689 ) 2.999 * * [simplify]: iteration 1 : 3525 enodes (cost 2585 ) 3.044 * * [simplify]: iteration 2 : 5001 enodes (cost 2527 ) 3.054 * [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)) (/ (- 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(sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log 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k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (/ (fabs (cbrt (cbrt k))) (cbrt (/ 1.0 (fabs (cbrt k)))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 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(fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (fabs (cbrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (* (fabs (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* (* 1.0 (pow (/ -1 k) 1/6)) (sqrt (/ 1 (cbrt -1)))) (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))) 3.056 * * * [progress]: adding candidates to table 3.996 * * [progress]: iteration 4 / 4 3.996 * * * [progress]: picking best candidate 4.018 * * * * [pick]: Picked # 4.018 * * * [progress]: localizing error 4.035 * * * [progress]: generating rewritten candidates 4.035 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.044 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 4.085 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.100 * * * [progress]: generating series expansions 4.100 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.101 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.101 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.101 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.101 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.101 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.101 * [taylor]: Taking taylor expansion of 0.5 in k 4.101 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.101 * [taylor]: Taking taylor expansion of 1.0 in k 4.101 * [taylor]: Taking taylor expansion of k in k 4.101 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.101 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.101 * [taylor]: Taking taylor expansion of 2.0 in k 4.101 * [taylor]: Taking taylor expansion of (* n PI) in k 4.101 * [taylor]: Taking taylor expansion of n in k 4.101 * [taylor]: Taking taylor expansion of PI in k 4.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.103 * [taylor]: Taking taylor expansion of 0.5 in n 4.103 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.103 * [taylor]: Taking taylor expansion of 1.0 in n 4.103 * [taylor]: Taking taylor expansion of k in n 4.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.103 * [taylor]: Taking taylor expansion of 2.0 in n 4.103 * [taylor]: Taking taylor expansion of (* n PI) in n 4.103 * [taylor]: Taking taylor expansion of n in n 4.103 * [taylor]: Taking taylor expansion of PI in n 4.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.109 * [taylor]: Taking taylor expansion of 0.5 in n 4.109 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.109 * [taylor]: Taking taylor expansion of 1.0 in n 4.109 * [taylor]: Taking taylor expansion of k in n 4.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.109 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.109 * [taylor]: Taking taylor expansion of 2.0 in n 4.109 * [taylor]: Taking taylor expansion of (* n PI) in n 4.109 * [taylor]: Taking taylor expansion of n in n 4.109 * [taylor]: Taking taylor expansion of PI in n 4.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.115 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.115 * [taylor]: Taking taylor expansion of 0.5 in k 4.115 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.115 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.115 * [taylor]: Taking taylor expansion of 1.0 in k 4.115 * [taylor]: Taking taylor expansion of k in k 4.115 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.115 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.115 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.115 * [taylor]: Taking taylor expansion of 2.0 in k 4.115 * [taylor]: Taking taylor expansion of PI in k 4.116 * [taylor]: Taking taylor expansion of (log n) in k 4.116 * [taylor]: Taking taylor expansion of n in k 4.131 * [taylor]: Taking taylor expansion of 0 in k 4.147 * [taylor]: Taking taylor expansion of 0 in k 4.165 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.166 * [taylor]: Taking taylor expansion of 0.5 in k 4.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.166 * [taylor]: Taking taylor expansion of 1.0 in k 4.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.166 * [taylor]: Taking taylor expansion of k in k 4.166 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.166 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.166 * [taylor]: Taking taylor expansion of 2.0 in k 4.166 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.166 * [taylor]: Taking taylor expansion of PI in k 4.166 * [taylor]: Taking taylor expansion of n in k 4.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.167 * [taylor]: Taking taylor expansion of 0.5 in n 4.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.167 * [taylor]: Taking taylor expansion of 1.0 in n 4.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.167 * [taylor]: Taking taylor expansion of k in n 4.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.167 * [taylor]: Taking taylor expansion of 2.0 in n 4.167 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.167 * [taylor]: Taking taylor expansion of PI in n 4.167 * [taylor]: Taking taylor expansion of n in n 4.171 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.171 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.171 * [taylor]: Taking taylor expansion of 0.5 in n 4.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.171 * [taylor]: Taking taylor expansion of 1.0 in n 4.171 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.171 * [taylor]: Taking taylor expansion of k in n 4.171 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.171 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.171 * [taylor]: Taking taylor expansion of 2.0 in n 4.171 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.171 * [taylor]: Taking taylor expansion of PI in n 4.171 * [taylor]: Taking taylor expansion of n in n 4.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.175 * [taylor]: Taking taylor expansion of 0.5 in k 4.175 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.175 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.175 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.175 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.175 * [taylor]: Taking taylor expansion of 2.0 in k 4.175 * [taylor]: Taking taylor expansion of PI in k 4.176 * [taylor]: Taking taylor expansion of (log n) in k 4.176 * [taylor]: Taking taylor expansion of n in k 4.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.176 * [taylor]: Taking taylor expansion of 1.0 in k 4.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.176 * [taylor]: Taking taylor expansion of k in k 4.187 * [taylor]: Taking taylor expansion of 0 in k 4.195 * [taylor]: Taking taylor expansion of 0 in k 4.204 * [taylor]: Taking taylor expansion of 0 in k 4.206 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.206 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.206 * [taylor]: Taking taylor expansion of 0.5 in k 4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.206 * [taylor]: Taking taylor expansion of k in k 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.206 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.206 * [taylor]: Taking taylor expansion of -2.0 in k 4.206 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.206 * [taylor]: Taking taylor expansion of PI in k 4.206 * [taylor]: Taking taylor expansion of n in k 4.207 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.207 * [taylor]: Taking taylor expansion of 0.5 in n 4.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.207 * [taylor]: Taking taylor expansion of k in n 4.207 * [taylor]: Taking taylor expansion of 1.0 in n 4.207 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.207 * [taylor]: Taking taylor expansion of -2.0 in n 4.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.218 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.218 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.218 * [taylor]: Taking taylor expansion of 0.5 in n 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.218 * [taylor]: Taking taylor expansion of k in n 4.218 * [taylor]: Taking taylor expansion of 1.0 in n 4.218 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.218 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.218 * [taylor]: Taking taylor expansion of -2.0 in n 4.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.219 * [taylor]: Taking taylor expansion of PI in n 4.219 * [taylor]: Taking taylor expansion of n in n 4.222 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.222 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.222 * [taylor]: Taking taylor expansion of 0.5 in k 4.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.222 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.222 * [taylor]: Taking taylor expansion of k in k 4.223 * [taylor]: Taking taylor expansion of 1.0 in k 4.223 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.223 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.223 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.223 * [taylor]: Taking taylor expansion of -2.0 in k 4.223 * [taylor]: Taking taylor expansion of PI in k 4.224 * [taylor]: Taking taylor expansion of (log n) in k 4.224 * [taylor]: Taking taylor expansion of n in k 4.232 * [taylor]: Taking taylor expansion of 0 in k 4.239 * [taylor]: Taking taylor expansion of 0 in k 4.248 * [taylor]: Taking taylor expansion of 0 in k 4.249 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.249 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 4.249 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 4.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.249 * [taylor]: Taking taylor expansion of k in k 4.251 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.251 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.251 * [taylor]: Taking taylor expansion of 1.0 in k 4.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 4.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.251 * [taylor]: Taking taylor expansion of k in k 4.253 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.253 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.253 * [taylor]: Taking taylor expansion of 1.0 in k 4.280 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 4.280 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 4.280 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.280 * [taylor]: Taking taylor expansion of k in k 4.281 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.281 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.281 * [taylor]: Taking taylor expansion of 1.0 in k 4.282 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 4.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.282 * [taylor]: Taking taylor expansion of k in k 4.283 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.283 * [taylor]: Taking taylor expansion of 1.0 in k 4.316 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 4.316 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 4.316 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.316 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.316 * [taylor]: Taking taylor expansion of 1.0 in k 4.317 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.317 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.317 * [taylor]: Taking taylor expansion of -1 in k 4.317 * [taylor]: Taking taylor expansion of k in k 4.320 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 4.320 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.320 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.320 * [taylor]: Taking taylor expansion of 1.0 in k 4.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.321 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.321 * [taylor]: Taking taylor expansion of -1 in k 4.321 * [taylor]: Taking taylor expansion of k in k 4.348 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 4.348 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.349 * [taylor]: Taking taylor expansion of 1.0 in k 4.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.349 * [taylor]: Taking taylor expansion of k in k 4.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.351 * [taylor]: Taking taylor expansion of 1.0 in k 4.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.351 * [taylor]: Taking taylor expansion of k in k 4.362 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.362 * [taylor]: Taking taylor expansion of 1.0 in k 4.362 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.362 * [taylor]: Taking taylor expansion of k in k 4.363 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.363 * [taylor]: Taking taylor expansion of 1.0 in k 4.363 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.363 * [taylor]: Taking taylor expansion of k in k 4.374 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.374 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.374 * [taylor]: Taking taylor expansion of 1.0 in k 4.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.374 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.374 * [taylor]: Taking taylor expansion of -1 in k 4.374 * [taylor]: Taking taylor expansion of k in k 4.375 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.375 * [taylor]: Taking taylor expansion of 1.0 in k 4.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.375 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.375 * [taylor]: Taking taylor expansion of -1 in k 4.375 * [taylor]: Taking taylor expansion of k in k 4.394 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.394 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.394 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.394 * [taylor]: Taking taylor expansion of 1.0 in k 4.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.394 * [taylor]: Taking taylor expansion of k in k 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.396 * [taylor]: Taking taylor expansion of 1.0 in k 4.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.396 * [taylor]: Taking taylor expansion of k in k 4.407 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.407 * [taylor]: Taking taylor expansion of 1.0 in k 4.407 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.407 * [taylor]: Taking taylor expansion of k in k 4.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.408 * [taylor]: Taking taylor expansion of 1.0 in k 4.408 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.408 * [taylor]: Taking taylor expansion of k in k 4.418 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.418 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.418 * [taylor]: Taking taylor expansion of 1.0 in k 4.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.418 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.418 * [taylor]: Taking taylor expansion of -1 in k 4.418 * [taylor]: Taking taylor expansion of k in k 4.419 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.419 * [taylor]: Taking taylor expansion of 1.0 in k 4.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.419 * [taylor]: Taking taylor expansion of -1 in k 4.419 * [taylor]: Taking taylor expansion of k in k 4.431 * * * [progress]: simplifying candidates 4.435 * [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 (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (log1p (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (+ 1 1) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (/ 1.0 (sqrt k))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 1 1) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ 1.0 (sqrt k))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) 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(sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (/ 1.0 (sqrt k)) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (pow (sqrt (sqrt (/ 1.0 (sqrt k)))) 3) (/ 1.0 (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (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) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (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)) (/ 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)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (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) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (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)) (/ 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)) (/ 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) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 1.0) +nan.0 (* +nan.0 (- (* 1.0 k) (* 1.0 (pow k 2))))) (fma (- +nan.0) (/ (/ 1.0 k) (pow k 2)) (fma +nan.0 (/ (/ 1.0 k) k) (/ (* (- 1.0) +nan.0) k))) (fma (- +nan.0) (/ (/ 1.0 k) k) (* +nan.0 (+ 1.0 (/ (- 1.0) k)))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 4.531 * * * [progress]: adding candidates to table 5.211 * [progress]: [Phase 3 of 3] Extracting. 5.211 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.218 * * * [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) 5.218 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.252 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 5.295 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.332 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.369 * * * [regime]: Found split indices: #