12.476 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.091 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.093 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.095 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.096 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.099 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.105 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.128 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.128 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.128 * * [progress]: iteration 1 / 4 0.128 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.167 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.189 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.234 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.234 * [taylor]: Taking taylor expansion of 0.5 in k 0.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.235 * [taylor]: Taking taylor expansion of 1.0 in k 0.235 * [taylor]: Taking taylor expansion of k in k 0.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.235 * [taylor]: Taking taylor expansion of 2.0 in k 0.235 * [taylor]: Taking taylor expansion of (* n PI) in k 0.235 * [taylor]: Taking taylor expansion of n in k 0.235 * [taylor]: Taking taylor expansion of PI in k 0.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.236 * [taylor]: Taking taylor expansion of 0.5 in n 0.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.236 * [taylor]: Taking taylor expansion of 1.0 in n 0.236 * [taylor]: Taking taylor expansion of k in n 0.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.236 * [taylor]: Taking taylor expansion of 2.0 in n 0.236 * [taylor]: Taking taylor expansion of (* n PI) in n 0.236 * [taylor]: Taking taylor expansion of n in n 0.236 * [taylor]: Taking taylor expansion of PI in n 0.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.241 * [taylor]: Taking taylor expansion of 0.5 in n 0.241 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.241 * [taylor]: Taking taylor expansion of 1.0 in n 0.241 * [taylor]: Taking taylor expansion of k in n 0.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.241 * [taylor]: Taking taylor expansion of 2.0 in n 0.241 * [taylor]: Taking taylor expansion of (* n PI) in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.241 * [taylor]: Taking taylor expansion of PI in n 0.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.246 * [taylor]: Taking taylor expansion of 0.5 in k 0.247 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.247 * [taylor]: Taking taylor expansion of 1.0 in k 0.247 * [taylor]: Taking taylor expansion of k in k 0.247 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.247 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.247 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.247 * [taylor]: Taking taylor expansion of 2.0 in k 0.247 * [taylor]: Taking taylor expansion of PI in k 0.247 * [taylor]: Taking taylor expansion of (log n) in k 0.248 * [taylor]: Taking taylor expansion of n in k 0.256 * [taylor]: Taking taylor expansion of 0 in k 0.270 * [taylor]: Taking taylor expansion of 0 in k 0.287 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.288 * [taylor]: Taking taylor expansion of 2.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.288 * [taylor]: Taking taylor expansion of PI in k 0.288 * [taylor]: Taking taylor expansion of n in k 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.293 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.293 * [taylor]: Taking taylor expansion of 0.5 in n 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.293 * [taylor]: Taking taylor expansion of k in n 0.293 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.293 * [taylor]: Taking taylor expansion of 2.0 in n 0.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 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 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.297 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.297 * [taylor]: Taking taylor expansion of k in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.318 * [taylor]: Taking taylor expansion of 0 in k 0.326 * [taylor]: Taking taylor expansion of 0 in k 0.327 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.327 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.327 * [taylor]: Taking taylor expansion of 0.5 in k 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.328 * [taylor]: Taking taylor expansion of k in k 0.328 * [taylor]: Taking taylor expansion of 1.0 in k 0.328 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.328 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.328 * [taylor]: Taking taylor expansion of -2.0 in k 0.328 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.328 * [taylor]: Taking taylor expansion of PI in k 0.328 * [taylor]: Taking taylor expansion of n in k 0.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.329 * [taylor]: Taking taylor expansion of 0.5 in n 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.329 * [taylor]: Taking taylor expansion of k in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.329 * [taylor]: Taking taylor expansion of -2.0 in n 0.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of -2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.336 * [taylor]: Taking taylor expansion of 0.5 in k 0.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.336 * [taylor]: Taking taylor expansion of k in k 0.337 * [taylor]: Taking taylor expansion of 1.0 in k 0.337 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.337 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.337 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.337 * [taylor]: Taking taylor expansion of -2.0 in k 0.337 * [taylor]: Taking taylor expansion of PI in k 0.338 * [taylor]: Taking taylor expansion of (log n) in k 0.338 * [taylor]: Taking taylor expansion of n in k 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.352 * [taylor]: Taking taylor expansion of 0 in k 0.360 * [taylor]: Taking taylor expansion of 0 in k 0.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.361 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.361 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.361 * [taylor]: Taking taylor expansion of 2.0 in n 0.361 * [taylor]: Taking taylor expansion of (* n PI) in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of PI in n 0.361 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.361 * [taylor]: Taking taylor expansion of 2.0 in n 0.361 * [taylor]: Taking taylor expansion of (* n PI) in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of PI in n 0.373 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.373 * [taylor]: Taking taylor expansion of 2.0 in n 0.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.373 * [taylor]: Taking taylor expansion of PI in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.373 * [taylor]: Taking taylor expansion of 2.0 in n 0.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.373 * [taylor]: Taking taylor expansion of PI in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.382 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.382 * [taylor]: Taking taylor expansion of -2.0 in n 0.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.382 * [taylor]: Taking taylor expansion of PI in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.382 * [taylor]: Taking taylor expansion of -2.0 in n 0.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.382 * [taylor]: Taking taylor expansion of PI in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.395 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.396 * [taylor]: Taking taylor expansion of 1.0 in k 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.397 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.397 * [taylor]: Taking taylor expansion of 1.0 in k 0.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.397 * [taylor]: Taking taylor expansion of k in k 0.407 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.408 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.417 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.417 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.417 * [taylor]: Taking taylor expansion of 1.0 in k 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.417 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.417 * [taylor]: Taking taylor expansion of -1 in k 0.417 * [taylor]: Taking taylor expansion of k in k 0.419 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.419 * [taylor]: Taking taylor expansion of 1.0 in k 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.419 * [taylor]: Taking taylor expansion of -1 in k 0.419 * [taylor]: Taking taylor expansion of k in k 0.430 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.430 * [taylor]: Taking taylor expansion of 1.0 in n 0.430 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.430 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.430 * [taylor]: Taking taylor expansion of k in n 0.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.430 * [taylor]: Taking taylor expansion of 0.5 in n 0.430 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.430 * [taylor]: Taking taylor expansion of 1.0 in n 0.431 * [taylor]: Taking taylor expansion of k in n 0.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [taylor]: Taking taylor expansion of (* n PI) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.435 * [taylor]: Taking taylor expansion of 1.0 in k 0.435 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.435 * [taylor]: Taking taylor expansion of k in k 0.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.437 * [taylor]: Taking taylor expansion of 0.5 in k 0.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.437 * [taylor]: Taking taylor expansion of 1.0 in k 0.437 * [taylor]: Taking taylor expansion of k in k 0.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.437 * [taylor]: Taking taylor expansion of 2.0 in k 0.437 * [taylor]: Taking taylor expansion of (* n PI) in k 0.437 * [taylor]: Taking taylor expansion of n in k 0.437 * [taylor]: Taking taylor expansion of PI in k 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.438 * [taylor]: Taking taylor expansion of 1.0 in k 0.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.438 * [taylor]: Taking taylor expansion of k in k 0.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.439 * [taylor]: Taking taylor expansion of 0.5 in k 0.439 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.439 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.439 * [taylor]: Taking taylor expansion of 2.0 in k 0.439 * [taylor]: Taking taylor expansion of (* n PI) in k 0.439 * [taylor]: Taking taylor expansion of n in k 0.439 * [taylor]: Taking taylor expansion of PI in k 0.440 * [taylor]: Taking taylor expansion of 0 in n 0.446 * [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 0.446 * [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 0.446 * [taylor]: Taking taylor expansion of +nan.0 in n 0.446 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.446 * [taylor]: Taking taylor expansion of 0.5 in n 0.446 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.446 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.446 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log PI) in n 0.446 * [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 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log n) in n 0.448 * [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 0.466 * [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 0.466 * [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 0.466 * [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 0.466 * [taylor]: Taking taylor expansion of +nan.0 in n 0.466 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.466 * [taylor]: Taking taylor expansion of 0.5 in n 0.466 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.466 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.466 * [taylor]: Taking taylor expansion of 1.0 in n 0.466 * [taylor]: Taking taylor expansion of (log PI) in n 0.466 * [taylor]: Taking taylor expansion of PI in n 0.468 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.468 * [taylor]: Taking taylor expansion of 1.0 in n 0.468 * [taylor]: Taking taylor expansion of (log n) in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.468 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.469 * [taylor]: Taking taylor expansion of 2.0 in n 0.473 * [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 0.473 * [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 0.473 * [taylor]: Taking taylor expansion of +nan.0 in n 0.473 * [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 0.473 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.474 * [taylor]: Taking taylor expansion of 0.5 in n 0.474 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.474 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.474 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.474 * [taylor]: Taking taylor expansion of 2.0 in n 0.475 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.475 * [taylor]: Taking taylor expansion of 1.0 in n 0.475 * [taylor]: Taking taylor expansion of (log PI) in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [taylor]: Taking taylor expansion of (log n) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.487 * [taylor]: Taking taylor expansion of 2.0 in n 0.487 * [taylor]: Taking taylor expansion of (* n PI) in n 0.487 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of PI in n 0.534 * [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 0.534 * [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 0.534 * [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 0.534 * [taylor]: Taking taylor expansion of +nan.0 in n 0.534 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.534 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.534 * [taylor]: Taking taylor expansion of 0.5 in n 0.534 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.534 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.534 * [taylor]: Taking taylor expansion of 2.0 in n 0.536 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log n) in n 0.536 * [taylor]: Taking taylor expansion of n in n 0.536 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log PI) in n 0.536 * [taylor]: Taking taylor expansion of PI in n 0.541 * [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 0.542 * [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 0.542 * [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 0.542 * [taylor]: Taking taylor expansion of +nan.0 in n 0.542 * [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 0.542 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.542 * [taylor]: Taking taylor expansion of 0.5 in n 0.542 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.542 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.542 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.542 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.543 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (log PI) in n 0.544 * [taylor]: Taking taylor expansion of PI in n 0.545 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log n) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.549 * [taylor]: Taking taylor expansion of 2.0 in n 0.549 * [taylor]: Taking taylor expansion of (* n PI) in n 0.549 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of PI in n 0.552 * [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 0.552 * [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 0.552 * [taylor]: Taking taylor expansion of +nan.0 in n 0.552 * [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 0.552 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.552 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.552 * [taylor]: Taking taylor expansion of 0.5 in n 0.552 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.552 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.552 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.553 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.553 * [taylor]: Taking taylor expansion of 2.0 in n 0.554 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log PI) in n 0.554 * [taylor]: Taking taylor expansion of PI in n 0.556 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (log n) in n 0.556 * [taylor]: Taking taylor expansion of n in n 0.560 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.560 * [taylor]: Taking taylor expansion of 2.0 in n 0.560 * [taylor]: Taking taylor expansion of (* n PI) in n 0.560 * [taylor]: Taking taylor expansion of n in n 0.560 * [taylor]: Taking taylor expansion of PI in n 0.636 * [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 0.636 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.636 * [taylor]: Taking taylor expansion of 1.0 in n 0.636 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.636 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.636 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.636 * [taylor]: Taking taylor expansion of 0.5 in n 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.636 * [taylor]: Taking taylor expansion of 1.0 in n 0.636 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.636 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.636 * [taylor]: Taking taylor expansion of 2.0 in n 0.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.637 * [taylor]: Taking taylor expansion of PI in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.640 * [taylor]: Taking taylor expansion of 1.0 in k 0.640 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.640 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.640 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.641 * [taylor]: Taking taylor expansion of 0.5 in k 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.641 * [taylor]: Taking taylor expansion of 1.0 in k 0.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.641 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.641 * [taylor]: Taking taylor expansion of 2.0 in k 0.641 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.641 * [taylor]: Taking taylor expansion of PI in k 0.641 * [taylor]: Taking taylor expansion of n in k 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.642 * [taylor]: Taking taylor expansion of 1.0 in k 0.642 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.642 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.642 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.643 * [taylor]: Taking taylor expansion of 0.5 in k 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.644 * [taylor]: Taking taylor expansion of 2.0 in k 0.644 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.644 * [taylor]: Taking taylor expansion of PI in k 0.644 * [taylor]: Taking taylor expansion of n in k 0.645 * [taylor]: Taking taylor expansion of 0 in n 0.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.646 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.646 * [taylor]: Taking taylor expansion of +nan.0 in n 0.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.646 * [taylor]: Taking taylor expansion of 0.5 in n 0.646 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.646 * [taylor]: Taking taylor expansion of PI in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.647 * [taylor]: Taking taylor expansion of k in n 0.655 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.655 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.655 * [taylor]: Taking taylor expansion of +nan.0 in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.655 * [taylor]: Taking taylor expansion of 0.5 in n 0.655 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.655 * [taylor]: Taking taylor expansion of 2.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.676 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.676 * [taylor]: Taking taylor expansion of +nan.0 in n 0.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.676 * [taylor]: Taking taylor expansion of 2.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.676 * [taylor]: Taking taylor expansion of PI in n 0.676 * [taylor]: Taking taylor expansion of n in n 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.677 * [taylor]: Taking taylor expansion of 1.0 in n 0.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.677 * [taylor]: Taking taylor expansion of k in n 0.685 * [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 0.686 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.686 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.686 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.686 * [taylor]: Taking taylor expansion of 0.5 in n 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.686 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.686 * [taylor]: Taking taylor expansion of k in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.686 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.686 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.686 * [taylor]: Taking taylor expansion of -2.0 in n 0.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.686 * [taylor]: Taking taylor expansion of PI in n 0.686 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.689 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.689 * [taylor]: Taking taylor expansion of -1 in n 0.689 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.690 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.690 * [taylor]: Taking taylor expansion of 0.5 in k 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.691 * [taylor]: Taking taylor expansion of -2.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [taylor]: Taking taylor expansion of n in k 0.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.691 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.691 * [taylor]: Taking taylor expansion of -1 in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.693 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.693 * [taylor]: Taking taylor expansion of 1.0 in k 0.693 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.693 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.693 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.693 * [taylor]: Taking taylor expansion of 0.5 in k 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.693 * [taylor]: Taking taylor expansion of k in k 0.693 * [taylor]: Taking taylor expansion of 1.0 in k 0.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.693 * [taylor]: Taking taylor expansion of -2.0 in k 0.693 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.693 * [taylor]: Taking taylor expansion of PI in k 0.693 * [taylor]: Taking taylor expansion of n in k 0.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.694 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.694 * [taylor]: Taking taylor expansion of -1 in k 0.694 * [taylor]: Taking taylor expansion of k in k 0.695 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.695 * [taylor]: Taking taylor expansion of +nan.0 in n 0.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.696 * [taylor]: Taking taylor expansion of 0.5 in n 0.696 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.696 * [taylor]: Taking taylor expansion of k in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.696 * [taylor]: Taking taylor expansion of -2.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.704 * [taylor]: Taking taylor expansion of +nan.0 in n 0.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.704 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of 1.0 in n 0.704 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of -2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.720 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.720 * [taylor]: Taking taylor expansion of +nan.0 in n 0.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.720 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.721 * [taylor]: Taking taylor expansion of k in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of -2.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.729 * * * [progress]: simplifying candidates 0.732 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (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)) (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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) 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))) (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))))))))) 0.831 * * * [progress]: adding candidates to table 1.268 * * [progress]: iteration 2 / 4 1.268 * * * [progress]: picking best candidate 1.299 * * * * [pick]: Picked # 1.300 * * * [progress]: localizing error 1.312 * * * [progress]: generating rewritten candidates 1.312 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.333 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 1.349 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.368 * * * [progress]: generating series expansions 1.368 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.369 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.369 * [taylor]: Taking taylor expansion of 0.5 in k 1.369 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.369 * [taylor]: Taking taylor expansion of 1.0 in k 1.369 * [taylor]: Taking taylor expansion of k in k 1.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.369 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.369 * [taylor]: Taking taylor expansion of 2.0 in k 1.369 * [taylor]: Taking taylor expansion of (* n PI) in k 1.369 * [taylor]: Taking taylor expansion of n in k 1.369 * [taylor]: Taking taylor expansion of PI in k 1.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.370 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.370 * [taylor]: Taking taylor expansion of 0.5 in n 1.370 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.370 * [taylor]: Taking taylor expansion of 1.0 in n 1.370 * [taylor]: Taking taylor expansion of k in n 1.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.370 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.370 * [taylor]: Taking taylor expansion of 2.0 in n 1.370 * [taylor]: Taking taylor expansion of (* n PI) in n 1.370 * [taylor]: Taking taylor expansion of n in n 1.370 * [taylor]: Taking taylor expansion of PI in n 1.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.375 * [taylor]: Taking taylor expansion of 0.5 in n 1.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.375 * [taylor]: Taking taylor expansion of 1.0 in n 1.375 * [taylor]: Taking taylor expansion of k in n 1.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.376 * [taylor]: Taking taylor expansion of 2.0 in n 1.376 * [taylor]: Taking taylor expansion of (* n PI) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.376 * [taylor]: Taking taylor expansion of PI in n 1.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.381 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.381 * [taylor]: Taking taylor expansion of 0.5 in k 1.381 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.381 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.381 * [taylor]: Taking taylor expansion of 1.0 in k 1.381 * [taylor]: Taking taylor expansion of k in k 1.381 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.381 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.381 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.381 * [taylor]: Taking taylor expansion of 2.0 in k 1.381 * [taylor]: Taking taylor expansion of PI in k 1.382 * [taylor]: Taking taylor expansion of (log n) in k 1.382 * [taylor]: Taking taylor expansion of n in k 1.390 * [taylor]: Taking taylor expansion of 0 in k 1.405 * [taylor]: Taking taylor expansion of 0 in k 1.422 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.422 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.422 * [taylor]: Taking taylor expansion of 0.5 in k 1.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.422 * [taylor]: Taking taylor expansion of 1.0 in k 1.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.422 * [taylor]: Taking taylor expansion of k in k 1.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.422 * [taylor]: Taking taylor expansion of 2.0 in k 1.422 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.422 * [taylor]: Taking taylor expansion of PI in k 1.422 * [taylor]: Taking taylor expansion of n in k 1.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.423 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.423 * [taylor]: Taking taylor expansion of 0.5 in n 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.423 * [taylor]: Taking taylor expansion of 1.0 in n 1.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.423 * [taylor]: Taking taylor expansion of k in n 1.424 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.424 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.424 * [taylor]: Taking taylor expansion of 2.0 in n 1.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.424 * [taylor]: Taking taylor expansion of PI in n 1.424 * [taylor]: Taking taylor expansion of n in n 1.427 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.427 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.427 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.427 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.427 * [taylor]: Taking taylor expansion of 0.5 in n 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.427 * [taylor]: Taking taylor expansion of 1.0 in n 1.427 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.427 * [taylor]: Taking taylor expansion of k in n 1.427 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.427 * [taylor]: Taking taylor expansion of 2.0 in n 1.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.427 * [taylor]: Taking taylor expansion of PI in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.431 * [taylor]: Taking taylor expansion of 0.5 in k 1.431 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.431 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.431 * [taylor]: Taking taylor expansion of 2.0 in k 1.436 * [taylor]: Taking taylor expansion of PI in k 1.437 * [taylor]: Taking taylor expansion of (log n) in k 1.437 * [taylor]: Taking taylor expansion of n in k 1.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.438 * [taylor]: Taking taylor expansion of 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 1.447 * [taylor]: Taking taylor expansion of 0 in k 1.453 * [taylor]: Taking taylor expansion of 0 in k 1.462 * [taylor]: Taking taylor expansion of 0 in k 1.463 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.463 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.463 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.463 * [taylor]: Taking taylor expansion of 0.5 in k 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.463 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.463 * [taylor]: Taking taylor expansion of -2.0 in k 1.463 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.463 * [taylor]: Taking taylor expansion of PI in k 1.463 * [taylor]: Taking taylor expansion of n in k 1.464 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.464 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.464 * [taylor]: Taking taylor expansion of 0.5 in n 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.464 * [taylor]: Taking taylor expansion of k in n 1.464 * [taylor]: Taking taylor expansion of 1.0 in n 1.464 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.464 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.464 * [taylor]: Taking taylor expansion of -2.0 in n 1.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.464 * [taylor]: Taking taylor expansion of PI in n 1.464 * [taylor]: Taking taylor expansion of n in n 1.467 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.468 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.468 * [taylor]: Taking taylor expansion of 0.5 in n 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.468 * [taylor]: Taking taylor expansion of k in n 1.468 * [taylor]: Taking taylor expansion of 1.0 in n 1.468 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.468 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.468 * [taylor]: Taking taylor expansion of -2.0 in n 1.468 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.468 * [taylor]: Taking taylor expansion of PI in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.471 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.471 * [taylor]: Taking taylor expansion of 0.5 in k 1.471 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.471 * [taylor]: Taking taylor expansion of k in k 1.471 * [taylor]: Taking taylor expansion of 1.0 in k 1.471 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.471 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.471 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.471 * [taylor]: Taking taylor expansion of -2.0 in k 1.471 * [taylor]: Taking taylor expansion of PI in k 1.472 * [taylor]: Taking taylor expansion of (log n) in k 1.472 * [taylor]: Taking taylor expansion of n in k 1.481 * [taylor]: Taking taylor expansion of 0 in k 1.487 * [taylor]: Taking taylor expansion of 0 in k 1.495 * [taylor]: Taking taylor expansion of 0 in k 1.496 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 1.496 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.496 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.496 * [taylor]: Taking taylor expansion of 2.0 in n 1.496 * [taylor]: Taking taylor expansion of (* n PI) in n 1.496 * [taylor]: Taking taylor expansion of n in n 1.496 * [taylor]: Taking taylor expansion of PI in n 1.496 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.496 * [taylor]: Taking taylor expansion of 2.0 in n 1.496 * [taylor]: Taking taylor expansion of (* n PI) in n 1.496 * [taylor]: Taking taylor expansion of n in n 1.496 * [taylor]: Taking taylor expansion of PI in n 1.508 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.508 * [taylor]: Taking taylor expansion of 2.0 in n 1.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.508 * [taylor]: Taking taylor expansion of 2.0 in n 1.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.517 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of -2.0 in n 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of -2.0 in n 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.530 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.531 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 1.531 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.531 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.531 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.531 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.531 * [taylor]: Taking taylor expansion of 0.5 in k 1.531 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.531 * [taylor]: Taking taylor expansion of 1.0 in k 1.531 * [taylor]: Taking taylor expansion of k in k 1.531 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.531 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.531 * [taylor]: Taking taylor expansion of 2.0 in k 1.531 * [taylor]: Taking taylor expansion of (* n PI) in k 1.531 * [taylor]: Taking taylor expansion of n in k 1.531 * [taylor]: Taking taylor expansion of PI in k 1.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.532 * [taylor]: Taking taylor expansion of k in k 1.533 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.533 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.533 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.533 * [taylor]: Taking taylor expansion of 0.5 in n 1.534 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.534 * [taylor]: Taking taylor expansion of 1.0 in n 1.534 * [taylor]: Taking taylor expansion of k in n 1.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.534 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.534 * [taylor]: Taking taylor expansion of 2.0 in n 1.534 * [taylor]: Taking taylor expansion of (* n PI) in n 1.534 * [taylor]: Taking taylor expansion of n in n 1.534 * [taylor]: Taking taylor expansion of PI in n 1.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.538 * [taylor]: Taking taylor expansion of k in n 1.539 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.539 * [taylor]: Taking taylor expansion of 0.5 in n 1.539 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.539 * [taylor]: Taking taylor expansion of 1.0 in n 1.539 * [taylor]: Taking taylor expansion of k in n 1.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.539 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.539 * [taylor]: Taking taylor expansion of 2.0 in n 1.539 * [taylor]: Taking taylor expansion of (* n PI) in n 1.539 * [taylor]: Taking taylor expansion of n in n 1.539 * [taylor]: Taking taylor expansion of PI in n 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.544 * [taylor]: Taking taylor expansion of k in n 1.544 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) 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 k in k 1.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.546 * [taylor]: Taking taylor expansion of 0.5 in k 1.546 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.546 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.546 * [taylor]: Taking taylor expansion of 1.0 in k 1.546 * [taylor]: Taking taylor expansion of k in k 1.546 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.546 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.546 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.546 * [taylor]: Taking taylor expansion of 2.0 in k 1.546 * [taylor]: Taking taylor expansion of PI in k 1.547 * [taylor]: Taking taylor expansion of (log n) in k 1.547 * [taylor]: Taking taylor expansion of n in k 1.556 * [taylor]: Taking taylor expansion of 0 in k 1.573 * [taylor]: Taking taylor expansion of 0 in k 1.601 * [taylor]: Taking taylor expansion of 0 in k 1.650 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 1.650 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.650 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.650 * [taylor]: Taking taylor expansion of k in k 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.651 * [taylor]: Taking taylor expansion of 0.5 in k 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.651 * [taylor]: Taking taylor expansion of 1.0 in k 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.651 * [taylor]: Taking taylor expansion of k in k 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.651 * [taylor]: Taking taylor expansion of 2.0 in k 1.651 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.651 * [taylor]: Taking taylor expansion of PI in k 1.651 * [taylor]: Taking taylor expansion of n in k 1.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.652 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.652 * [taylor]: Taking taylor expansion of k in n 1.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.653 * [taylor]: Taking taylor expansion of 0.5 in n 1.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.653 * [taylor]: Taking taylor expansion of 1.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.653 * [taylor]: Taking taylor expansion of k in n 1.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of 2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.656 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.656 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.656 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.656 * [taylor]: Taking taylor expansion of 0.5 in n 1.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.656 * [taylor]: Taking taylor expansion of 1.0 in n 1.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.656 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.656 * [taylor]: Taking taylor expansion of 2.0 in n 1.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.656 * [taylor]: Taking taylor expansion of PI in n 1.656 * [taylor]: Taking taylor expansion of n in n 1.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 1.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.660 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.661 * [taylor]: Taking taylor expansion of 0.5 in k 1.661 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.661 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.661 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.661 * [taylor]: Taking taylor expansion of 2.0 in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.662 * [taylor]: Taking taylor expansion of (log n) in k 1.662 * [taylor]: Taking taylor expansion of n in k 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.662 * [taylor]: Taking taylor expansion of k in k 1.672 * [taylor]: Taking taylor expansion of 0 in k 1.681 * [taylor]: Taking taylor expansion of 0 in k 1.700 * [taylor]: Taking taylor expansion of 0 in k 1.707 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 1.708 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.708 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.708 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.708 * [taylor]: Taking taylor expansion of 0.5 in k 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.708 * [taylor]: Taking taylor expansion of k in k 1.708 * [taylor]: Taking taylor expansion of 1.0 in k 1.708 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.708 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.708 * [taylor]: Taking taylor expansion of -2.0 in k 1.708 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.708 * [taylor]: Taking taylor expansion of PI in k 1.708 * [taylor]: Taking taylor expansion of n in k 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.709 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.709 * [taylor]: Taking taylor expansion of -1 in k 1.709 * [taylor]: Taking taylor expansion of k in k 1.710 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.710 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.710 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.710 * [taylor]: Taking taylor expansion of 0.5 in n 1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.710 * [taylor]: Taking taylor expansion of k in n 1.710 * [taylor]: Taking taylor expansion of 1.0 in n 1.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.710 * [taylor]: Taking taylor expansion of -2.0 in n 1.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.714 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.714 * [taylor]: Taking taylor expansion of -1 in n 1.714 * [taylor]: Taking taylor expansion of k in n 1.715 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.715 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.715 * [taylor]: Taking taylor expansion of 0.5 in n 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.715 * [taylor]: Taking taylor expansion of k in n 1.715 * [taylor]: Taking taylor expansion of 1.0 in n 1.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.715 * [taylor]: Taking taylor expansion of -2.0 in n 1.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.715 * [taylor]: Taking taylor expansion of PI in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.718 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.718 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.718 * [taylor]: Taking taylor expansion of -1 in n 1.718 * [taylor]: Taking taylor expansion of k in n 1.719 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.719 * [taylor]: Taking taylor expansion of 0.5 in k 1.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.719 * [taylor]: Taking taylor expansion of k in k 1.720 * [taylor]: Taking taylor expansion of 1.0 in k 1.720 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.720 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.720 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.720 * [taylor]: Taking taylor expansion of -2.0 in k 1.720 * [taylor]: Taking taylor expansion of PI in k 1.721 * [taylor]: Taking taylor expansion of (log n) in k 1.721 * [taylor]: Taking taylor expansion of n in k 1.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.724 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.724 * [taylor]: Taking taylor expansion of -1 in k 1.724 * [taylor]: Taking taylor expansion of k in k 1.732 * [taylor]: Taking taylor expansion of 0 in k 1.743 * [taylor]: Taking taylor expansion of 0 in k 1.751 * * * [progress]: simplifying candidates 1.753 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt 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(* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (fabs (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k)) (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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* +nan.0 (pow k 2)) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- (* +nan.0 (pow k 2))) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (fma (* (* +nan.0 k) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- +nan.0) (* (pow (* (* 2.0 PI) n) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2))) (fma (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 k) (fma (- (* +nan.0 (pow k 2))) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (fma (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* 2.0 PI)) (fma (- +nan.0) (* (* (pow k 2) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) +nan.0)))))))))) (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))))))))) 1.829 * * * [progress]: adding candidates to table 2.145 * * [progress]: iteration 3 / 4 2.145 * * * [progress]: picking best candidate 2.167 * * * * [pick]: Picked # 2.167 * * * [progress]: localizing error 2.183 * * * [progress]: generating rewritten candidates 2.183 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 2.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 2.254 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.282 * * * [progress]: generating series expansions 2.282 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 2.283 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.283 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.283 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.283 * [taylor]: Taking taylor expansion of 0.25 in k 2.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.283 * [taylor]: Taking taylor expansion of 1.0 in k 2.283 * [taylor]: Taking taylor expansion of k in k 2.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.283 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.283 * [taylor]: Taking taylor expansion of 2.0 in k 2.283 * [taylor]: Taking taylor expansion of (* n PI) in k 2.283 * [taylor]: Taking taylor expansion of n in k 2.283 * [taylor]: Taking taylor expansion of PI in k 2.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.284 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.284 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.284 * [taylor]: Taking taylor expansion of 0.25 in n 2.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.284 * [taylor]: Taking taylor expansion of 1.0 in n 2.285 * [taylor]: Taking taylor expansion of k in n 2.285 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.285 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.285 * [taylor]: Taking taylor expansion of 2.0 in n 2.285 * [taylor]: Taking taylor expansion of (* n PI) in n 2.285 * [taylor]: Taking taylor expansion of n in n 2.285 * [taylor]: Taking taylor expansion of PI in n 2.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.290 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.290 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.290 * [taylor]: Taking taylor expansion of 0.25 in n 2.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.290 * [taylor]: Taking taylor expansion of 1.0 in n 2.290 * [taylor]: Taking taylor expansion of k in n 2.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.290 * [taylor]: Taking taylor expansion of 2.0 in n 2.290 * [taylor]: Taking taylor expansion of (* n PI) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [taylor]: Taking taylor expansion of PI in n 2.295 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.295 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.295 * [taylor]: Taking taylor expansion of 0.25 in k 2.295 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.295 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.295 * [taylor]: Taking taylor expansion of 1.0 in k 2.295 * [taylor]: Taking taylor expansion of k in k 2.295 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.295 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.295 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.295 * [taylor]: Taking taylor expansion of 2.0 in k 2.295 * [taylor]: Taking taylor expansion of PI in k 2.296 * [taylor]: Taking taylor expansion of (log n) in k 2.296 * [taylor]: Taking taylor expansion of n in k 2.304 * [taylor]: Taking taylor expansion of 0 in k 2.318 * [taylor]: Taking taylor expansion of 0 in k 2.342 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.342 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.342 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.342 * [taylor]: Taking taylor expansion of 0.25 in k 2.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.342 * [taylor]: Taking taylor expansion of 1.0 in k 2.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.342 * [taylor]: Taking taylor expansion of k in k 2.342 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.342 * [taylor]: Taking taylor expansion of 2.0 in k 2.342 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.342 * [taylor]: Taking taylor expansion of PI in k 2.342 * [taylor]: Taking taylor expansion of n in k 2.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.343 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.343 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.343 * [taylor]: Taking taylor expansion of 0.25 in n 2.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.344 * [taylor]: Taking taylor expansion of 1.0 in n 2.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.344 * [taylor]: Taking taylor expansion of k in n 2.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.344 * [taylor]: Taking taylor expansion of 2.0 in n 2.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.344 * [taylor]: Taking taylor expansion of PI in n 2.344 * [taylor]: Taking taylor expansion of n in n 2.347 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.347 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.347 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.347 * [taylor]: Taking taylor expansion of 0.25 in n 2.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.347 * [taylor]: Taking taylor expansion of 1.0 in n 2.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.347 * [taylor]: Taking taylor expansion of k in n 2.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.347 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.347 * [taylor]: Taking taylor expansion of 2.0 in n 2.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.347 * [taylor]: Taking taylor expansion of PI in n 2.347 * [taylor]: Taking taylor expansion of n in n 2.351 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.351 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.351 * [taylor]: Taking taylor expansion of 0.25 in k 2.351 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.351 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.351 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.351 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.351 * [taylor]: Taking taylor expansion of 2.0 in k 2.351 * [taylor]: Taking taylor expansion of PI in k 2.352 * [taylor]: Taking taylor expansion of (log n) in k 2.352 * [taylor]: Taking taylor expansion of n in k 2.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.352 * [taylor]: Taking taylor expansion of 1.0 in k 2.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.352 * [taylor]: Taking taylor expansion of k in k 2.360 * [taylor]: Taking taylor expansion of 0 in k 2.367 * [taylor]: Taking taylor expansion of 0 in k 2.375 * [taylor]: Taking taylor expansion of 0 in k 2.377 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 2.377 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.377 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.377 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.377 * [taylor]: Taking taylor expansion of 0.25 in k 2.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.377 * [taylor]: Taking taylor expansion of k in k 2.377 * [taylor]: Taking taylor expansion of 1.0 in k 2.377 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.377 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.377 * [taylor]: Taking taylor expansion of -2.0 in k 2.377 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.377 * [taylor]: Taking taylor expansion of PI in k 2.377 * [taylor]: Taking taylor expansion of n in k 2.378 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.378 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.378 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.378 * [taylor]: Taking taylor expansion of 0.25 in n 2.378 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.378 * [taylor]: Taking taylor expansion of k in n 2.378 * [taylor]: Taking taylor expansion of 1.0 in n 2.378 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.378 * [taylor]: Taking taylor expansion of -2.0 in n 2.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.378 * [taylor]: Taking taylor expansion of PI in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.381 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.381 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.381 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.381 * [taylor]: Taking taylor expansion of 0.25 in n 2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.382 * [taylor]: Taking taylor expansion of k in n 2.382 * [taylor]: Taking taylor expansion of 1.0 in n 2.382 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.382 * [taylor]: Taking taylor expansion of -2.0 in n 2.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.382 * [taylor]: Taking taylor expansion of PI in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.385 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.385 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.385 * [taylor]: Taking taylor expansion of 0.25 in k 2.385 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.385 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.385 * [taylor]: Taking taylor expansion of k in k 2.385 * [taylor]: Taking taylor expansion of 1.0 in k 2.386 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.386 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.386 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.386 * [taylor]: Taking taylor expansion of -2.0 in k 2.386 * [taylor]: Taking taylor expansion of PI in k 2.386 * [taylor]: Taking taylor expansion of (log n) in k 2.386 * [taylor]: Taking taylor expansion of n in k 2.395 * [taylor]: Taking taylor expansion of 0 in k 2.401 * [taylor]: Taking taylor expansion of 0 in k 2.409 * [taylor]: Taking taylor expansion of 0 in k 2.416 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.416 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.416 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.416 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.416 * [taylor]: Taking taylor expansion of 0.25 in k 2.416 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.416 * [taylor]: Taking taylor expansion of 1.0 in k 2.416 * [taylor]: Taking taylor expansion of k in k 2.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.417 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.417 * [taylor]: Taking taylor expansion of 2.0 in k 2.417 * [taylor]: Taking taylor expansion of (* n PI) in k 2.417 * [taylor]: Taking taylor expansion of n in k 2.417 * [taylor]: Taking taylor expansion of PI in k 2.417 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.418 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.418 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.418 * [taylor]: Taking taylor expansion of 0.25 in n 2.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.418 * [taylor]: Taking taylor expansion of 1.0 in n 2.418 * [taylor]: Taking taylor expansion of k in n 2.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.418 * [taylor]: Taking taylor expansion of 2.0 in n 2.418 * [taylor]: Taking taylor expansion of (* n PI) in n 2.418 * [taylor]: Taking taylor expansion of n in n 2.418 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.422 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.423 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.423 * [taylor]: Taking taylor expansion of 0.25 in n 2.423 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.423 * [taylor]: Taking taylor expansion of 1.0 in n 2.423 * [taylor]: Taking taylor expansion of k in n 2.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.423 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.423 * [taylor]: Taking taylor expansion of 2.0 in n 2.423 * [taylor]: Taking taylor expansion of (* n PI) in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.427 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.428 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.428 * [taylor]: Taking taylor expansion of 0.25 in k 2.428 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.428 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.428 * [taylor]: Taking taylor expansion of 1.0 in k 2.428 * [taylor]: Taking taylor expansion of k in k 2.428 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.428 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.428 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.428 * [taylor]: Taking taylor expansion of 2.0 in k 2.428 * [taylor]: Taking taylor expansion of PI in k 2.429 * [taylor]: Taking taylor expansion of (log n) in k 2.429 * [taylor]: Taking taylor expansion of n in k 2.437 * [taylor]: Taking taylor expansion of 0 in k 2.451 * [taylor]: Taking taylor expansion of 0 in k 2.468 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.468 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.468 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.469 * [taylor]: Taking taylor expansion of 0.25 in k 2.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.469 * [taylor]: Taking taylor expansion of 1.0 in k 2.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.469 * [taylor]: Taking taylor expansion of k in k 2.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.469 * [taylor]: Taking taylor expansion of 2.0 in k 2.469 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.469 * [taylor]: Taking taylor expansion of PI in k 2.469 * [taylor]: Taking taylor expansion of n in k 2.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.470 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.470 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.470 * [taylor]: Taking taylor expansion of 0.25 in n 2.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.470 * [taylor]: Taking taylor expansion of k in n 2.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.470 * [taylor]: Taking taylor expansion of 2.0 in n 2.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.470 * [taylor]: Taking taylor expansion of PI in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.473 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.473 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.473 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.473 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.473 * [taylor]: Taking taylor expansion of 0.25 in n 2.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.473 * [taylor]: Taking taylor expansion of 1.0 in n 2.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.473 * [taylor]: Taking taylor expansion of k in n 2.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.474 * [taylor]: Taking taylor expansion of 2.0 in n 2.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.474 * [taylor]: Taking taylor expansion of PI in n 2.474 * [taylor]: Taking taylor expansion of n in n 2.477 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.477 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.477 * [taylor]: Taking taylor expansion of 0.25 in k 2.477 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.477 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.477 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.477 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.477 * [taylor]: Taking taylor expansion of 2.0 in k 2.477 * [taylor]: Taking taylor expansion of PI in k 2.478 * [taylor]: Taking taylor expansion of (log n) in k 2.478 * [taylor]: Taking taylor expansion of n in k 2.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.478 * [taylor]: Taking taylor expansion of 1.0 in k 2.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.478 * [taylor]: Taking taylor expansion of k in k 2.487 * [taylor]: Taking taylor expansion of 0 in k 2.494 * [taylor]: Taking taylor expansion of 0 in k 2.508 * [taylor]: Taking taylor expansion of 0 in k 2.509 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 2.509 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.509 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.509 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.509 * [taylor]: Taking taylor expansion of 0.25 in k 2.509 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.509 * [taylor]: Taking taylor expansion of k in k 2.509 * [taylor]: Taking taylor expansion of 1.0 in k 2.509 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.509 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.509 * [taylor]: Taking taylor expansion of -2.0 in k 2.509 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.509 * [taylor]: Taking taylor expansion of PI in k 2.509 * [taylor]: Taking taylor expansion of n in k 2.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.510 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.510 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.510 * [taylor]: Taking taylor expansion of 0.25 in n 2.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.510 * [taylor]: Taking taylor expansion of k in n 2.510 * [taylor]: Taking taylor expansion of 1.0 in n 2.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.510 * [taylor]: Taking taylor expansion of -2.0 in n 2.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.510 * [taylor]: Taking taylor expansion of PI in n 2.510 * [taylor]: Taking taylor expansion of n in n 2.514 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.514 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.514 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.514 * [taylor]: Taking taylor expansion of 0.25 in n 2.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.514 * [taylor]: Taking taylor expansion of k in n 2.514 * [taylor]: Taking taylor expansion of 1.0 in n 2.514 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.514 * [taylor]: Taking taylor expansion of -2.0 in n 2.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.514 * [taylor]: Taking taylor expansion of PI in n 2.514 * [taylor]: Taking taylor expansion of n in n 2.517 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.517 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.517 * [taylor]: Taking taylor expansion of 0.25 in k 2.517 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.517 * [taylor]: Taking taylor expansion of k in k 2.518 * [taylor]: Taking taylor expansion of 1.0 in k 2.518 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.518 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.518 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.518 * [taylor]: Taking taylor expansion of -2.0 in k 2.518 * [taylor]: Taking taylor expansion of PI in k 2.519 * [taylor]: Taking taylor expansion of (log n) in k 2.519 * [taylor]: Taking taylor expansion of n in k 2.527 * [taylor]: Taking taylor expansion of 0 in k 2.533 * [taylor]: Taking taylor expansion of 0 in k 2.542 * [taylor]: Taking taylor expansion of 0 in k 2.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 2.543 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.543 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.543 * [taylor]: Taking taylor expansion of 2.0 in n 2.543 * [taylor]: Taking taylor expansion of (* n PI) in n 2.543 * [taylor]: Taking taylor expansion of n in n 2.543 * [taylor]: Taking taylor expansion of PI in n 2.543 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.543 * [taylor]: Taking taylor expansion of 2.0 in n 2.543 * [taylor]: Taking taylor expansion of (* n PI) in n 2.543 * [taylor]: Taking taylor expansion of n in n 2.543 * [taylor]: Taking taylor expansion of PI in n 2.554 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.554 * [taylor]: Taking taylor expansion of 2.0 in n 2.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.554 * [taylor]: Taking taylor expansion of PI in n 2.554 * [taylor]: Taking taylor expansion of n in n 2.555 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.555 * [taylor]: Taking taylor expansion of 2.0 in n 2.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.555 * [taylor]: Taking taylor expansion of n in n 2.563 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.563 * [taylor]: Taking taylor expansion of -2.0 in n 2.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.563 * [taylor]: Taking taylor expansion of -2.0 in n 2.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.571 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.572 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.572 * [taylor]: Taking taylor expansion of 2.0 in n 2.572 * [taylor]: Taking taylor expansion of (* n PI) in n 2.572 * [taylor]: Taking taylor expansion of n in n 2.572 * [taylor]: Taking taylor expansion of PI in n 2.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.572 * [taylor]: Taking taylor expansion of 2.0 in n 2.572 * [taylor]: Taking taylor expansion of (* n PI) in n 2.572 * [taylor]: Taking taylor expansion of n in n 2.572 * [taylor]: Taking taylor expansion of PI in n 2.583 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.583 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.583 * [taylor]: Taking taylor expansion of 2.0 in n 2.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.583 * [taylor]: Taking taylor expansion of PI in n 2.583 * [taylor]: Taking taylor expansion of n in n 2.583 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.583 * [taylor]: Taking taylor expansion of 2.0 in n 2.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.584 * [taylor]: Taking taylor expansion of PI in n 2.584 * [taylor]: Taking taylor expansion of n in n 2.598 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.598 * [taylor]: Taking taylor expansion of -2.0 in n 2.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.598 * [taylor]: Taking taylor expansion of PI in n 2.598 * [taylor]: Taking taylor expansion of n in n 2.599 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.599 * [taylor]: Taking taylor expansion of -2.0 in n 2.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.599 * [taylor]: Taking taylor expansion of PI in n 2.599 * [taylor]: Taking taylor expansion of n in n 2.607 * * * [progress]: simplifying candidates 2.610 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 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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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.619 * * [simplify]: iteration 0 : 703 enodes (cost 1718 ) 2.630 * * [simplify]: iteration 1 : 2797 enodes (cost 1652 ) 2.672 * * [simplify]: iteration 2 : 5001 enodes (cost 1636 ) 2.680 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 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(sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (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) (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 (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.681 * * * [progress]: adding candidates to table 3.354 * * [progress]: iteration 4 / 4 3.354 * * * [progress]: picking best candidate 3.379 * * * * [pick]: Picked # 3.380 * * * [progress]: localizing error 3.403 * * * [progress]: generating rewritten candidates 3.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 3.428 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 3.536 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 2) 3.547 * * * [progress]: generating series expansions 3.548 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 3.548 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.548 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.548 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.548 * [taylor]: Taking taylor expansion of 0.25 in k 3.548 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.548 * [taylor]: Taking taylor expansion of 1.0 in k 3.548 * [taylor]: Taking taylor expansion of k in k 3.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.549 * [taylor]: Taking taylor expansion of 2.0 in k 3.549 * [taylor]: Taking taylor expansion of (* n PI) in k 3.549 * [taylor]: Taking taylor expansion of n in k 3.549 * [taylor]: Taking taylor expansion of PI in k 3.549 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.550 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.550 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.550 * [taylor]: Taking taylor expansion of 0.25 in n 3.550 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.550 * [taylor]: Taking taylor expansion of 1.0 in n 3.550 * [taylor]: Taking taylor expansion of k in n 3.550 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.550 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.550 * [taylor]: Taking taylor expansion of 2.0 in n 3.550 * [taylor]: Taking taylor expansion of (* n PI) in n 3.550 * [taylor]: Taking taylor expansion of n in n 3.550 * [taylor]: Taking taylor expansion of PI in n 3.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.555 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.555 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.555 * [taylor]: Taking taylor expansion of 0.25 in n 3.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.555 * [taylor]: Taking taylor expansion of 1.0 in n 3.555 * [taylor]: Taking taylor expansion of k in n 3.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.555 * [taylor]: Taking taylor expansion of 2.0 in n 3.555 * [taylor]: Taking taylor expansion of (* n PI) in n 3.555 * [taylor]: Taking taylor expansion of n in n 3.555 * [taylor]: Taking taylor expansion of PI in n 3.560 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.560 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.560 * [taylor]: Taking taylor expansion of 0.25 in k 3.560 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.560 * [taylor]: Taking taylor expansion of 1.0 in k 3.560 * [taylor]: Taking taylor expansion of k in k 3.560 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.560 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.560 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.560 * [taylor]: Taking taylor expansion of 2.0 in k 3.560 * [taylor]: Taking taylor expansion of PI in k 3.561 * [taylor]: Taking taylor expansion of (log n) in k 3.561 * [taylor]: Taking taylor expansion of n in k 3.574 * [taylor]: Taking taylor expansion of 0 in k 3.589 * [taylor]: Taking taylor expansion of 0 in k 3.606 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.606 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.606 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.606 * [taylor]: Taking taylor expansion of 0.25 in k 3.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.606 * [taylor]: Taking taylor expansion of 1.0 in k 3.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.606 * [taylor]: Taking taylor expansion of k in k 3.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.606 * [taylor]: Taking taylor expansion of 2.0 in k 3.606 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.606 * [taylor]: Taking taylor expansion of PI in k 3.606 * [taylor]: Taking taylor expansion of n in k 3.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.607 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.607 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.607 * [taylor]: Taking taylor expansion of 0.25 in n 3.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.607 * [taylor]: Taking taylor expansion of 1.0 in n 3.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.607 * [taylor]: Taking taylor expansion of k in n 3.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.607 * [taylor]: Taking taylor expansion of 2.0 in n 3.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.607 * [taylor]: Taking taylor expansion of PI in n 3.607 * [taylor]: Taking taylor expansion of n in n 3.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.611 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.611 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.611 * [taylor]: Taking taylor expansion of 0.25 in n 3.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.611 * [taylor]: Taking taylor expansion of 1.0 in n 3.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.611 * [taylor]: Taking taylor expansion of k in n 3.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.611 * [taylor]: Taking taylor expansion of 2.0 in n 3.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.611 * [taylor]: Taking taylor expansion of PI in n 3.611 * [taylor]: Taking taylor expansion of n in n 3.614 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.614 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.614 * [taylor]: Taking taylor expansion of 0.25 in k 3.614 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.614 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.614 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.614 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.614 * [taylor]: Taking taylor expansion of 2.0 in k 3.614 * [taylor]: Taking taylor expansion of PI in k 3.615 * [taylor]: Taking taylor expansion of (log n) in k 3.615 * [taylor]: Taking taylor expansion of n in k 3.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.615 * [taylor]: Taking taylor expansion of 1.0 in k 3.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.615 * [taylor]: Taking taylor expansion of k in k 3.624 * [taylor]: Taking taylor expansion of 0 in k 3.630 * [taylor]: Taking taylor expansion of 0 in k 3.639 * [taylor]: Taking taylor expansion of 0 in k 3.640 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.640 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.640 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.640 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.640 * [taylor]: Taking taylor expansion of 0.25 in k 3.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.640 * [taylor]: Taking taylor expansion of k in k 3.640 * [taylor]: Taking taylor expansion of 1.0 in k 3.640 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.640 * [taylor]: Taking taylor expansion of -2.0 in k 3.640 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.640 * [taylor]: Taking taylor expansion of PI in k 3.640 * [taylor]: Taking taylor expansion of n in k 3.641 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.641 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.641 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.641 * [taylor]: Taking taylor expansion of 0.25 in n 3.641 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.641 * [taylor]: Taking taylor expansion of k in n 3.641 * [taylor]: Taking taylor expansion of 1.0 in n 3.641 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.641 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.641 * [taylor]: Taking taylor expansion of -2.0 in n 3.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.641 * [taylor]: Taking taylor expansion of PI in n 3.641 * [taylor]: Taking taylor expansion of n in n 3.645 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.645 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.645 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.645 * [taylor]: Taking taylor expansion of 0.25 in n 3.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.645 * [taylor]: Taking taylor expansion of k in n 3.645 * [taylor]: Taking taylor expansion of 1.0 in n 3.645 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.645 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.645 * [taylor]: Taking taylor expansion of -2.0 in n 3.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.645 * [taylor]: Taking taylor expansion of PI in n 3.645 * [taylor]: Taking taylor expansion of n in n 3.648 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.648 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.648 * [taylor]: Taking taylor expansion of 0.25 in k 3.648 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.648 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.648 * [taylor]: Taking taylor expansion of k in k 3.649 * [taylor]: Taking taylor expansion of 1.0 in k 3.649 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.649 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.649 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.649 * [taylor]: Taking taylor expansion of -2.0 in k 3.649 * [taylor]: Taking taylor expansion of PI in k 3.655 * [taylor]: Taking taylor expansion of (log n) in k 3.655 * [taylor]: Taking taylor expansion of n in k 3.663 * [taylor]: Taking taylor expansion of 0 in k 3.669 * [taylor]: Taking taylor expansion of 0 in k 3.677 * [taylor]: Taking taylor expansion of 0 in k 3.678 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.679 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.679 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.679 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.679 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.679 * [taylor]: Taking taylor expansion of 0.25 in k 3.679 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.679 * [taylor]: Taking taylor expansion of 1.0 in k 3.679 * [taylor]: Taking taylor expansion of k in k 3.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.679 * [taylor]: Taking taylor expansion of 2.0 in k 3.679 * [taylor]: Taking taylor expansion of (* n PI) in k 3.679 * [taylor]: Taking taylor expansion of n in k 3.679 * [taylor]: Taking taylor expansion of PI in k 3.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.680 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.680 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.680 * [taylor]: Taking taylor expansion of 0.25 in n 3.680 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.680 * [taylor]: Taking taylor expansion of 1.0 in n 3.680 * [taylor]: Taking taylor expansion of k in n 3.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.680 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.680 * [taylor]: Taking taylor expansion of 2.0 in n 3.680 * [taylor]: Taking taylor expansion of (* n PI) in n 3.680 * [taylor]: Taking taylor expansion of n in n 3.680 * [taylor]: Taking taylor expansion of PI in n 3.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.685 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.685 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.685 * [taylor]: Taking taylor expansion of 0.25 in n 3.685 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.685 * [taylor]: Taking taylor expansion of 1.0 in n 3.685 * [taylor]: Taking taylor expansion of k in n 3.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.685 * [taylor]: Taking taylor expansion of 2.0 in n 3.685 * [taylor]: Taking taylor expansion of (* n PI) in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.685 * [taylor]: Taking taylor expansion of PI in n 3.690 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.690 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.690 * [taylor]: Taking taylor expansion of 0.25 in k 3.690 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.690 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.690 * [taylor]: Taking taylor expansion of 1.0 in k 3.690 * [taylor]: Taking taylor expansion of k in k 3.690 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.690 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.690 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.690 * [taylor]: Taking taylor expansion of 2.0 in k 3.690 * [taylor]: Taking taylor expansion of PI in k 3.691 * [taylor]: Taking taylor expansion of (log n) in k 3.691 * [taylor]: Taking taylor expansion of n in k 3.699 * [taylor]: Taking taylor expansion of 0 in k 3.713 * [taylor]: Taking taylor expansion of 0 in k 3.731 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.731 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.731 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.731 * [taylor]: Taking taylor expansion of 0.25 in k 3.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.731 * [taylor]: Taking taylor expansion of 1.0 in k 3.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.731 * [taylor]: Taking taylor expansion of k in k 3.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.731 * [taylor]: Taking taylor expansion of 2.0 in k 3.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.731 * [taylor]: Taking taylor expansion of PI in k 3.731 * [taylor]: Taking taylor expansion of n in k 3.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.732 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.732 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.732 * [taylor]: Taking taylor expansion of 0.25 in n 3.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.732 * [taylor]: Taking taylor expansion of 1.0 in n 3.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.732 * [taylor]: Taking taylor expansion of k in n 3.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.732 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.732 * [taylor]: Taking taylor expansion of 2.0 in n 3.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.732 * [taylor]: Taking taylor expansion of PI in n 3.732 * [taylor]: Taking taylor expansion of n in n 3.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.736 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.736 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.736 * [taylor]: Taking taylor expansion of 0.25 in n 3.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.736 * [taylor]: Taking taylor expansion of 1.0 in n 3.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.736 * [taylor]: Taking taylor expansion of k in n 3.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.736 * [taylor]: Taking taylor expansion of 2.0 in n 3.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.736 * [taylor]: Taking taylor expansion of PI in n 3.736 * [taylor]: Taking taylor expansion of n in n 3.745 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.745 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.745 * [taylor]: Taking taylor expansion of 0.25 in k 3.745 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.745 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.745 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.745 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.745 * [taylor]: Taking taylor expansion of 2.0 in k 3.745 * [taylor]: Taking taylor expansion of PI in k 3.746 * [taylor]: Taking taylor expansion of (log n) in k 3.746 * [taylor]: Taking taylor expansion of n in k 3.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.746 * [taylor]: Taking taylor expansion of 1.0 in k 3.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.746 * [taylor]: Taking taylor expansion of k in k 3.755 * [taylor]: Taking taylor expansion of 0 in k 3.761 * [taylor]: Taking taylor expansion of 0 in k 3.769 * [taylor]: Taking taylor expansion of 0 in k 3.771 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.771 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in k 3.771 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in k 3.771 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.771 * [taylor]: Taking taylor expansion of 0.25 in k 3.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.771 * [taylor]: Taking taylor expansion of k in k 3.771 * [taylor]: Taking taylor expansion of 1.0 in k 3.771 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in k 3.771 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in k 3.771 * [taylor]: Taking taylor expansion of 2.0 in k 3.771 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in k 3.771 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in k 3.771 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in k 3.771 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.771 * [taylor]: Taking taylor expansion of -1 in k 3.772 * [taylor]: Taking taylor expansion of PI in k 3.772 * [taylor]: Taking taylor expansion of n in k 3.777 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in n 3.777 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in n 3.777 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.777 * [taylor]: Taking taylor expansion of 0.25 in n 3.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.777 * [taylor]: Taking taylor expansion of k in n 3.777 * [taylor]: Taking taylor expansion of 1.0 in n 3.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in n 3.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in n 3.777 * [taylor]: Taking taylor expansion of 2.0 in n 3.777 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in n 3.777 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in n 3.777 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 3.777 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.777 * [taylor]: Taking taylor expansion of -1 in n 3.778 * [taylor]: Taking taylor expansion of PI in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in n 3.785 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in n 3.785 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.785 * [taylor]: Taking taylor expansion of 0.25 in n 3.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.785 * [taylor]: Taking taylor expansion of k in n 3.785 * [taylor]: Taking taylor expansion of 1.0 in n 3.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in n 3.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in n 3.785 * [taylor]: Taking taylor expansion of 2.0 in n 3.785 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in n 3.785 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in n 3.785 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 3.785 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.785 * [taylor]: Taking taylor expansion of -1 in n 3.786 * [taylor]: Taking taylor expansion of PI in n 3.786 * [taylor]: Taking taylor expansion of n in n 3.793 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.793 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.793 * [taylor]: Taking taylor expansion of 0.25 in k 3.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.793 * [taylor]: Taking taylor expansion of k in k 3.793 * [taylor]: Taking taylor expansion of 1.0 in k 3.793 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.793 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.793 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.793 * [taylor]: Taking taylor expansion of -2.0 in k 3.793 * [taylor]: Taking taylor expansion of PI in k 3.794 * [taylor]: Taking taylor expansion of (log n) in k 3.794 * [taylor]: Taking taylor expansion of n in k 3.803 * [taylor]: Taking taylor expansion of 0 in k 3.813 * [taylor]: Taking taylor expansion of 0 in k 3.830 * [taylor]: Taking taylor expansion of 0 in k 3.831 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 3.831 * [approximate]: Taking taylor expansion of (pow n 1/3) in (n) around 0 3.831 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 3.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 3.831 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 3.831 * [taylor]: Taking taylor expansion of 1/3 in n 3.831 * [taylor]: Taking taylor expansion of (log n) in n 3.831 * [taylor]: Taking taylor expansion of n in n 3.831 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 3.831 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 3.831 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 3.831 * [taylor]: Taking taylor expansion of 1/3 in n 3.831 * [taylor]: Taking taylor expansion of (log n) in n 3.831 * [taylor]: Taking taylor expansion of n in n 3.876 * [approximate]: Taking taylor expansion of (pow (/ 1 n) 1/3) in (n) around 0 3.877 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 3.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 3.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 3.877 * [taylor]: Taking taylor expansion of 1/3 in n 3.877 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.877 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 3.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 3.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 3.877 * [taylor]: Taking taylor expansion of 1/3 in n 3.877 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.877 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.933 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in (n) around 0 3.933 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 3.933 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.933 * [taylor]: Taking taylor expansion of -1 in n 3.934 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 3.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 3.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 3.934 * [taylor]: Taking taylor expansion of 1/3 in n 3.934 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.934 * [taylor]: Taking taylor expansion of n in n 3.934 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 3.934 * [taylor]: Taking taylor expansion of (cbrt -1) in n 3.934 * [taylor]: Taking taylor expansion of -1 in n 3.935 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 3.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 3.935 * [taylor]: Taking taylor expansion of 1/3 in n 3.935 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.935 * [taylor]: Taking taylor expansion of n in n 4.000 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 2) 4.000 * [approximate]: Taking taylor expansion of (pow n 1/3) in (n) around 0 4.000 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 4.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 4.000 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 4.000 * [taylor]: Taking taylor expansion of 1/3 in n 4.000 * [taylor]: Taking taylor expansion of (log n) in n 4.000 * [taylor]: Taking taylor expansion of n in n 4.001 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 4.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 4.001 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 4.001 * [taylor]: Taking taylor expansion of 1/3 in n 4.001 * [taylor]: Taking taylor expansion of (log n) in n 4.001 * [taylor]: Taking taylor expansion of n in n 4.046 * [approximate]: Taking taylor expansion of (pow (/ 1 n) 1/3) in (n) around 0 4.047 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 4.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 4.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 4.047 * [taylor]: Taking taylor expansion of 1/3 in n 4.047 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.047 * [taylor]: Taking taylor expansion of n in n 4.047 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 4.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 4.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 4.047 * [taylor]: Taking taylor expansion of 1/3 in n 4.047 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.047 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.047 * [taylor]: Taking taylor expansion of n in n 4.102 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in (n) around 0 4.102 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 4.102 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.102 * [taylor]: Taking taylor expansion of -1 in n 4.103 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 4.103 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 4.103 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 4.103 * [taylor]: Taking taylor expansion of 1/3 in n 4.103 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.103 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.103 * [taylor]: Taking taylor expansion of n in n 4.104 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 4.104 * [taylor]: Taking taylor expansion of (cbrt -1) in n 4.104 * [taylor]: Taking taylor expansion of -1 in n 4.104 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 4.104 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 4.104 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 4.104 * [taylor]: Taking taylor expansion of 1/3 in n 4.104 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.104 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.104 * [taylor]: Taking taylor expansion of n in n 4.169 * * * [progress]: simplifying candidates 4.172 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (+ (log 2.0) (log PI)) (+ (log (cbrt n)) (log (cbrt n)))) (log (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (+ (log 2.0) (log PI)) (log (* (cbrt n) (cbrt n)))) (log (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log (* 2.0 PI)) (+ (log (cbrt n)) (log (cbrt n)))) (log (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log (* 2.0 PI)) (log (* (cbrt n) (cbrt n)))) (log (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* (* 2.0 PI) (* (cbrt n) (cbrt n)))) (log (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ 1.0 2.0) 2)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ k 2.0) 2)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 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(pow (* -1 n) 1/3) (cbrt -1)) 4.182 * * [simplify]: iteration 0 : 915 enodes (cost 2098 ) 4.195 * * [simplify]: iteration 1 : 3052 enodes (cost 2031 ) 4.233 * * [simplify]: iteration 2 : 5001 enodes (cost 1619 ) 4.241 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 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(pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (cbrt n)) (log1p (cbrt n)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) 1 (pow n 1/3) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) n (sqrt (cbrt n)) (sqrt (cbrt n)) (expm1 (cbrt n)) (log1p (cbrt n)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) 1 (pow n 1/3) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) n (sqrt (cbrt n)) (sqrt (cbrt n)) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow n 1/3) (pow (/ 1 n) -1/3) (* (pow (* -1 n) 1/3) (cbrt -1)) (pow n 1/3) (pow (/ 1 n) -1/3) (* (pow (* -1 n) 1/3) (cbrt -1)) 4.242 * * * [progress]: adding candidates to table 5.008 * [progress]: [Phase 3 of 3] Extracting. 5.008 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.011 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.011 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.048 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 5.071 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.107 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.143 * * * [regime]: Found split indices: #