11.820 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.079 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.079 * [simplify]: Sending expressions to egg_math: (* (/ h0 (sqrt h1)) (pow (* (* h2 PI) h3) (/ (- h0 h1) h2))) 0.081 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.083 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.084 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.087 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.093 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.116 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.116 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.157 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.174 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.180 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.226 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.228 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.228 * [taylor]: Taking taylor expansion of 0.5 in k 0.228 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.228 * [taylor]: Taking taylor expansion of 1.0 in k 0.228 * [taylor]: Taking taylor expansion of k in k 0.228 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.228 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.228 * [taylor]: Taking taylor expansion of 2.0 in k 0.228 * [taylor]: Taking taylor expansion of (* n PI) in k 0.228 * [taylor]: Taking taylor expansion of n in k 0.228 * [taylor]: Taking taylor expansion of PI in k 0.229 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.229 * [taylor]: Taking taylor expansion of 0.5 in n 0.229 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.229 * [taylor]: Taking taylor expansion of 1.0 in n 0.229 * [taylor]: Taking taylor expansion of k in n 0.229 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.229 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.229 * [taylor]: Taking taylor expansion of 2.0 in n 0.229 * [taylor]: Taking taylor expansion of (* n PI) in n 0.229 * [taylor]: Taking taylor expansion of n in n 0.229 * [taylor]: Taking taylor expansion of PI in n 0.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.235 * [taylor]: Taking taylor expansion of 0.5 in n 0.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.235 * [taylor]: Taking taylor expansion of 1.0 in n 0.235 * [taylor]: Taking taylor expansion of k in n 0.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.235 * [taylor]: Taking taylor expansion of 2.0 in n 0.235 * [taylor]: Taking taylor expansion of (* n PI) in n 0.235 * [taylor]: Taking taylor expansion of n in n 0.235 * [taylor]: Taking taylor expansion of PI in n 0.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.240 * [taylor]: Taking taylor expansion of 0.5 in k 0.240 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.240 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.240 * [taylor]: Taking taylor expansion of 1.0 in k 0.240 * [taylor]: Taking taylor expansion of k in k 0.240 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.240 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.240 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.240 * [taylor]: Taking taylor expansion of 2.0 in k 0.240 * [taylor]: Taking taylor expansion of PI in k 0.241 * [taylor]: Taking taylor expansion of (log n) in k 0.241 * [taylor]: Taking taylor expansion of n in k 0.251 * [taylor]: Taking taylor expansion of 0 in k 0.271 * [taylor]: Taking taylor expansion of 0 in k 0.291 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.291 * [taylor]: Taking taylor expansion of 0.5 in k 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.291 * [taylor]: Taking taylor expansion of 2.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.291 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.292 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.293 * [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 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.296 * [taylor]: Taking taylor expansion of k in n 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.296 * [taylor]: Taking taylor expansion of 2.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.296 * [taylor]: Taking taylor expansion of PI in n 0.297 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.300 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.300 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.300 * [taylor]: Taking taylor expansion of 2.0 in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.301 * [taylor]: Taking taylor expansion of (log n) in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [taylor]: Taking taylor expansion of 0 in k 0.328 * [taylor]: Taking taylor expansion of 0 in k 0.330 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.330 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.330 * [taylor]: Taking taylor expansion of 0.5 in k 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.330 * [taylor]: Taking taylor expansion of 1.0 in k 0.330 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.330 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.330 * [taylor]: Taking taylor expansion of -2.0 in k 0.330 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.330 * [taylor]: Taking taylor expansion of PI in k 0.330 * [taylor]: Taking taylor expansion of n in k 0.331 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of -2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.335 * [taylor]: Taking taylor expansion of 0.5 in n 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.335 * [taylor]: Taking taylor expansion of k in n 0.335 * [taylor]: Taking taylor expansion of 1.0 in n 0.335 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.335 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.335 * [taylor]: Taking taylor expansion of -2.0 in n 0.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.335 * [taylor]: Taking taylor expansion of PI in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.339 * [taylor]: Taking taylor expansion of 0.5 in k 0.339 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.339 * [taylor]: Taking taylor expansion of k in k 0.339 * [taylor]: Taking taylor expansion of 1.0 in k 0.339 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.339 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.339 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.339 * [taylor]: Taking taylor expansion of -2.0 in k 0.339 * [taylor]: Taking taylor expansion of PI in k 0.340 * [taylor]: Taking taylor expansion of (log n) in k 0.340 * [taylor]: Taking taylor expansion of n in k 0.349 * [taylor]: Taking taylor expansion of 0 in k 0.356 * [taylor]: Taking taylor expansion of 0 in k 0.371 * [taylor]: Taking taylor expansion of 0 in k 0.372 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.373 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.373 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.373 * [taylor]: Taking taylor expansion of 2.0 in n 0.373 * [taylor]: Taking taylor expansion of (* n PI) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of PI in n 0.373 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.373 * [taylor]: Taking taylor expansion of 2.0 in n 0.373 * [taylor]: Taking taylor expansion of (* n PI) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of PI in n 0.387 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.387 * [taylor]: Taking taylor expansion of 2.0 in n 0.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.387 * [taylor]: Taking taylor expansion of PI in n 0.387 * [taylor]: Taking taylor expansion of n in n 0.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.387 * [taylor]: Taking taylor expansion of 2.0 in n 0.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.397 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.397 * [taylor]: Taking taylor expansion of -2.0 in n 0.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.397 * [taylor]: Taking taylor expansion of PI in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.397 * [taylor]: Taking taylor expansion of -2.0 in n 0.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.397 * [taylor]: Taking taylor expansion of PI in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.407 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.408 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.420 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.420 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.420 * [taylor]: Taking taylor expansion of 1.0 in k 0.420 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.420 * [taylor]: Taking taylor expansion of k in k 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.421 * [taylor]: Taking taylor expansion of 1.0 in k 0.421 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.421 * [taylor]: Taking taylor expansion of k in k 0.431 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.432 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.432 * [taylor]: Taking taylor expansion of 1.0 in k 0.432 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.432 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.432 * [taylor]: Taking taylor expansion of -1 in k 0.432 * [taylor]: Taking taylor expansion of k in k 0.433 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.433 * [taylor]: Taking taylor expansion of 1.0 in k 0.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.433 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.433 * [taylor]: Taking taylor expansion of -1 in k 0.433 * [taylor]: Taking taylor expansion of k in k 0.445 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.446 * [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 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.446 * [taylor]: Taking taylor expansion of k in n 0.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.446 * [taylor]: Taking taylor expansion of 0.5 in n 0.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of k in n 0.446 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.446 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.446 * [taylor]: Taking taylor expansion of (* n PI) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.452 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.452 * [taylor]: Taking taylor expansion of k in k 0.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.453 * [taylor]: Taking taylor expansion of 0.5 in k 0.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.453 * [taylor]: Taking taylor expansion of 1.0 in k 0.453 * [taylor]: Taking taylor expansion of k in k 0.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.454 * [taylor]: Taking taylor expansion of 2.0 in k 0.454 * [taylor]: Taking taylor expansion of (* n PI) in k 0.454 * [taylor]: Taking taylor expansion of n in k 0.454 * [taylor]: Taking taylor expansion of PI in k 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.455 * [taylor]: Taking taylor expansion of 1.0 in k 0.455 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.455 * [taylor]: Taking taylor expansion of k in k 0.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.456 * [taylor]: Taking taylor expansion of 0.5 in k 0.456 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.456 * [taylor]: Taking taylor expansion of 1.0 in k 0.456 * [taylor]: Taking taylor expansion of k in k 0.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.456 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.456 * [taylor]: Taking taylor expansion of 2.0 in k 0.456 * [taylor]: Taking taylor expansion of (* n PI) in k 0.456 * [taylor]: Taking taylor expansion of n in k 0.456 * [taylor]: Taking taylor expansion of PI in k 0.457 * [taylor]: Taking taylor expansion of 0 in n 0.470 * [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 0.470 * [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 0.470 * [taylor]: Taking taylor expansion of +nan.0 in n 0.470 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.470 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.470 * [taylor]: Taking taylor expansion of 0.5 in n 0.470 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.470 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.470 * [taylor]: Taking taylor expansion of 1.0 in n 0.470 * [taylor]: Taking taylor expansion of (log PI) in n 0.470 * [taylor]: Taking taylor expansion of PI in n 0.472 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [taylor]: Taking taylor expansion of (log n) in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.473 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.473 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [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 0.493 * [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 0.493 * [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 0.493 * [taylor]: Taking taylor expansion of +nan.0 in n 0.493 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.493 * [taylor]: Taking taylor expansion of 0.5 in n 0.493 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.493 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.493 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (log PI) in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.495 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.495 * [taylor]: Taking taylor expansion of 1.0 in n 0.495 * [taylor]: Taking taylor expansion of (log n) in n 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.495 * [taylor]: Taking taylor expansion of 1.0 in n 0.495 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.496 * [taylor]: Taking taylor expansion of 2.0 in n 0.501 * [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 0.501 * [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 0.501 * [taylor]: Taking taylor expansion of +nan.0 in n 0.501 * [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 0.501 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.501 * [taylor]: Taking taylor expansion of 0.5 in n 0.501 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.501 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.501 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.501 * [taylor]: Taking taylor expansion of 2.0 in n 0.503 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log PI) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log n) in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.509 * [taylor]: Taking taylor expansion of 2.0 in n 0.509 * [taylor]: Taking taylor expansion of (* n PI) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [taylor]: Taking taylor expansion of PI in n 0.560 * [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 0.561 * [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 0.561 * [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 0.561 * [taylor]: Taking taylor expansion of +nan.0 in n 0.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.561 * [taylor]: Taking taylor expansion of 0.5 in n 0.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.561 * [taylor]: Taking taylor expansion of 2.0 in n 0.562 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.563 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [taylor]: Taking taylor expansion of (log n) in n 0.563 * [taylor]: Taking taylor expansion of n in n 0.569 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log PI) in n 0.569 * [taylor]: Taking taylor expansion of PI in n 0.575 * [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 0.575 * [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 0.575 * [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 0.575 * [taylor]: Taking taylor expansion of +nan.0 in n 0.575 * [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 0.575 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.575 * [taylor]: Taking taylor expansion of 0.5 in n 0.575 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.575 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.575 * [taylor]: Taking taylor expansion of 2.0 in n 0.577 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.577 * [taylor]: Taking taylor expansion of 1.0 in n 0.577 * [taylor]: Taking taylor expansion of (log PI) in n 0.577 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log n) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.586 * [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 0.587 * [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 0.587 * [taylor]: Taking taylor expansion of +nan.0 in n 0.587 * [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 0.587 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.587 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.587 * [taylor]: Taking taylor expansion of 0.5 in n 0.587 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.587 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.587 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.587 * [taylor]: Taking taylor expansion of 1.0 in n 0.587 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.587 * [taylor]: Taking taylor expansion of 2.0 in n 0.588 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.589 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.589 * [taylor]: Taking taylor expansion of 1.0 in n 0.589 * [taylor]: Taking taylor expansion of (log PI) in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (log n) in n 0.591 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.595 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.595 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (* n PI) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.676 * [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 0.676 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.676 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.677 * [taylor]: Taking taylor expansion of 2.0 in n 0.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.677 * [taylor]: Taking taylor expansion of PI in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.680 * [taylor]: Taking taylor expansion of 1.0 in k 0.680 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.680 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.681 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.682 * [taylor]: Taking taylor expansion of 0.5 in k 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.682 * [taylor]: Taking taylor expansion of 2.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.682 * [taylor]: Taking taylor expansion of PI in k 0.682 * [taylor]: Taking taylor expansion of n in k 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.683 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.684 * [taylor]: Taking taylor expansion of 0.5 in k 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.684 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.685 * [taylor]: Taking taylor expansion of 2.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.685 * [taylor]: Taking taylor expansion of PI in k 0.685 * [taylor]: Taking taylor expansion of n in k 0.686 * [taylor]: Taking taylor expansion of 0 in n 0.687 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.687 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.687 * [taylor]: Taking taylor expansion of +nan.0 in n 0.687 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.687 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.687 * [taylor]: Taking taylor expansion of 0.5 in n 0.687 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.687 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.687 * [taylor]: Taking taylor expansion of 2.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.697 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.697 * [taylor]: Taking taylor expansion of +nan.0 in n 0.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.698 * [taylor]: Taking taylor expansion of 1.0 in n 0.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.698 * [taylor]: Taking taylor expansion of k in n 0.714 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.714 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.714 * [taylor]: Taking taylor expansion of +nan.0 in n 0.715 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.715 * [taylor]: Taking taylor expansion of 0.5 in n 0.715 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.715 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.715 * [taylor]: Taking taylor expansion of 2.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.716 * [taylor]: Taking taylor expansion of 1.0 in n 0.716 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.716 * [taylor]: Taking taylor expansion of k in n 0.724 * [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 0.724 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.724 * [taylor]: Taking taylor expansion of 1.0 in n 0.725 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.725 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.725 * [taylor]: Taking taylor expansion of 0.5 in n 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.725 * [taylor]: Taking taylor expansion of 1.0 in n 0.725 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.725 * [taylor]: Taking taylor expansion of -2.0 in n 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.725 * [taylor]: Taking taylor expansion of n in n 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.728 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.728 * [taylor]: Taking taylor expansion of -1 in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.729 * [taylor]: Taking taylor expansion of 1.0 in k 0.729 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.729 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.730 * [taylor]: Taking taylor expansion of 0.5 in k 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.730 * [taylor]: Taking taylor expansion of k in k 0.730 * [taylor]: Taking taylor expansion of 1.0 in k 0.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.730 * [taylor]: Taking taylor expansion of -2.0 in k 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.730 * [taylor]: Taking taylor expansion of PI in k 0.730 * [taylor]: Taking taylor expansion of n in k 0.731 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.731 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.731 * [taylor]: Taking taylor expansion of -1 in k 0.731 * [taylor]: Taking taylor expansion of k in k 0.732 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.732 * [taylor]: Taking taylor expansion of 1.0 in k 0.732 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.732 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.733 * [taylor]: Taking taylor expansion of 0.5 in k 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.733 * [taylor]: Taking taylor expansion of k in k 0.733 * [taylor]: Taking taylor expansion of 1.0 in k 0.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.733 * [taylor]: Taking taylor expansion of -2.0 in k 0.733 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.733 * [taylor]: Taking taylor expansion of PI in k 0.733 * [taylor]: Taking taylor expansion of n in k 0.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.734 * [taylor]: Taking taylor expansion of -1 in k 0.734 * [taylor]: Taking taylor expansion of k in k 0.735 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.735 * [taylor]: Taking taylor expansion of +nan.0 in n 0.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.735 * [taylor]: Taking taylor expansion of 0.5 in n 0.735 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.736 * [taylor]: Taking taylor expansion of 1.0 in n 0.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.736 * [taylor]: Taking taylor expansion of -2.0 in n 0.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.736 * [taylor]: Taking taylor expansion of PI in n 0.736 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.744 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.745 * [taylor]: Taking taylor expansion of +nan.0 in n 0.745 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.745 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.745 * [taylor]: Taking taylor expansion of 0.5 in n 0.745 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.745 * [taylor]: Taking taylor expansion of k in n 0.745 * [taylor]: Taking taylor expansion of 1.0 in n 0.745 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.745 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.745 * [taylor]: Taking taylor expansion of -2.0 in n 0.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.745 * [taylor]: Taking taylor expansion of PI in n 0.745 * [taylor]: Taking taylor expansion of n in n 0.768 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.768 * [taylor]: Taking taylor expansion of +nan.0 in n 0.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.768 * [taylor]: Taking taylor expansion of 0.5 in n 0.768 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.768 * [taylor]: Taking taylor expansion of k in n 0.768 * [taylor]: Taking taylor expansion of 1.0 in n 0.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.768 * [taylor]: Taking taylor expansion of -2.0 in n 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.768 * [taylor]: Taking taylor expansion of PI in n 0.769 * [taylor]: Taking taylor expansion of n in n 0.778 * * * [progress]: simplifying candidates 0.780 * [simplify]: Simplifying using # : (* (+ (+ (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)) (* (* 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) (- (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) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.782 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0)) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ h2 h0)) (pow (* (* h0 PI) h1) (/ h3 h0)) (pow (* (* h0 PI) h1) (* (cbrt (/ (- h2 h3) h0)) (cbrt (/ (- h2 h3) h0)))) (pow (* (* h0 PI) h1) (sqrt (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) 1)) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) 1) (pow (* (* h0 PI) h1) (- h2 h3)) (pow (* h0 PI) (/ (- h2 h3) h0)) (pow h1 (/ (- h2 h3) h0)) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (exp (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (* (* h0 PI) h1) (* (* h0 PI) h1) (+ (+ (log h0) (log PI)) (log h1)) (+ (log (* h0 PI)) (log h1)) (log (* (* h0 PI) h1)) (exp (* (* h0 PI) h1)) (* (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (* (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 PI) h1)) (cbrt (* (* h0 PI) h1))) (cbrt (* (* h0 PI) h1)) (* (* (* (* h0 PI) h1) (* (* h0 PI) h1)) (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (* (* h0 PI) (sqrt h1)) (* (* h0 PI) 1) (* PI h1) (- (log h2) (log (sqrt h3))) (log (/ h2 (sqrt h3))) (exp (/ h2 (sqrt h3))) (/ (* (* h2 h2) h2) (* (* (sqrt h3) (sqrt h3)) (sqrt h3))) (* (cbrt (/ h2 (sqrt h3))) (cbrt (/ h2 (sqrt h3)))) (cbrt (/ h2 (sqrt h3))) (* (* (/ h2 (sqrt h3)) (/ h2 (sqrt h3))) (/ h2 (sqrt h3))) (sqrt (/ h2 (sqrt h3))) (sqrt (/ h2 (sqrt h3))) (- h2) (- (sqrt h3)) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ (cbrt h2) (cbrt (sqrt h3))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt h3) (cbrt h3)))) (/ (cbrt h2) (sqrt (cbrt h3))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h3))) (/ (cbrt h2) (sqrt (sqrt h3))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt h3)) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt h3))) (/ (cbrt h2) (sqrt (sqrt h3))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt h3)) (/ (sqrt h2) (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ (sqrt h2) (cbrt (sqrt h3))) (/ (sqrt h2) (sqrt (* (cbrt h3) (cbrt h3)))) (/ (sqrt h2) (sqrt (cbrt h3))) (/ (sqrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt h3)) (/ 1 (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ h2 (cbrt (sqrt h3))) (/ 1 (sqrt (* (cbrt h3) (cbrt h3)))) (/ h2 (sqrt (cbrt h3))) (/ 1 (sqrt (sqrt h3))) (/ h2 (sqrt (sqrt h3))) (/ 1 (sqrt 1)) (/ h2 (sqrt h3)) (/ 1 (sqrt (sqrt h3))) (/ h2 (sqrt (sqrt h3))) (/ 1 1) (/ h2 (sqrt h3)) (/ 1 (sqrt h3)) (/ (sqrt h3) h2) (/ h2 (* (cbrt (sqrt h3)) (cbrt (sqrt h3)))) (/ h2 (sqrt (* (cbrt h3) (cbrt h3)))) (/ h2 (sqrt (sqrt h3))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt h3))) (/ h2 1) (/ (sqrt h3) (cbrt h2)) (/ (sqrt h3) (sqrt h2)) (/ (sqrt h3) h2) (+ (- (log h2) (log (sqrt h3))) (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0))) (+ (- (log h2) (log (sqrt h3))) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0))) (+ (- (log h2) (log (sqrt h3))) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0))) (+ (- (log h2) (log (sqrt h3))) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0))) (+ (- (log h2) (log (sqrt h3))) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (+ (log (/ h2 (sqrt h3))) (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0))) (+ (log (/ h2 (sqrt h3))) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0))) (+ (log (/ h2 (sqrt h3))) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0))) (+ (log (/ h2 (sqrt h3))) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0))) (+ (log (/ h2 (sqrt h3))) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (log (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (exp (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ (* (* h2 h2) h2) (* (* (sqrt h3) (sqrt h3)) (sqrt h3))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (* (* (/ h2 (sqrt h3)) (/ h2 (sqrt h3))) (/ h2 (sqrt h3))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (cbrt (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (cbrt (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))))) (cbrt (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (* (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (sqrt (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (sqrt (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* h2 (pow (* (* h0 PI) h1) (/ h2 h0))) (* (sqrt h3) (pow (* (* h0 PI) h1) (/ h3 h0))) (* (sqrt (/ h2 (sqrt h3))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (sqrt (/ h2 (sqrt h3))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (sqrt (/ h2 (sqrt h3))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (sqrt (/ h2 (sqrt h3))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (/ h2 (sqrt h3)) (pow (* h0 PI) (/ (- h2 h3) h0))) (* (/ h2 (sqrt h3)) (* (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))))) (* (/ h2 (sqrt h3)) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (* (/ h2 (sqrt h3)) 1) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2))) (* (cbrt (/ h2 (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (sqrt (/ h2 (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (cbrt h2) (cbrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (cbrt h2) (sqrt (cbrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (cbrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (cbrt h2) (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (cbrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (cbrt h2) (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (sqrt h2) (cbrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (sqrt h2) (sqrt (cbrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (sqrt h2) (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (sqrt h2) (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ (sqrt h2) (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (cbrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt (cbrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt (sqrt h3))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ 1 (sqrt h3)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (/ h2 (sqrt h3)) (pow (* (* h0 PI) h1) (/ h2 h0))) (* h2 (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (- (+ (* h4 (* (pow h3 2) (* (pow (log (* h0 PI)) 2) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h4 (* (pow h3 2) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (pow (log h1) 2)))) (+ (* h6 (* (pow h3 2) (* (log (* h0 PI)) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1))))) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h5 (* h3 (* (log (* h0 PI)) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (* h5 (* h3 (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1)))))) (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (- (+ (* h8 h3) (- (+ (* h8 (pow h3 2)) (- h8))))) (- (+ (* h8 (/ 1 (pow h3 2))) (- (+ (* h8 (/ 1 h3)) (- (* h8 (/ 1 (pow h3 3)))))))) (- (+ (* h8 (/ 1 (pow h3 2))) (- (+ (* h8 (/ 1 h3)) (- h8))))) (- (+ (* h8 (* (* (pow h3 2) (pow (log (* h0 PI)) 2)) (pow (* (pow h0 h2) (* (pow h1 h2) (pow PI h2))) h5))) (- (+ (* h8 (* (* (pow h3 2) (log (* h0 PI))) (pow (* (pow PI h2) (* (pow h1 h2) (pow h0 h2))) h5))) (- (+ (* h8 (* (* (pow h3 2) (* (log (* h0 PI)) (log h1))) (pow (* (pow PI h2) (* (pow h0 h2) (pow h1 h2))) h5))) (- (+ (* h8 (* (* (pow h3 2) (log h1)) (pow (* (pow h0 h2) (* (pow PI h2) (pow h1 h2))) h5))) (- (+ (* h8 (* (* h3 (log (* h0 PI))) (pow (* (pow h0 h2) (* (pow h1 h2) (pow PI h2))) h5))) (- (+ (* h8 (* (* (pow h3 2) (pow (log h1) 2)) (pow (* (pow h0 h2) (* (pow PI h2) (pow h1 h2))) h5))) (- (+ (* h8 (* (* h3 (log h1)) (pow (* (pow h0 h2) (* (pow PI h2) (pow h1 h2))) h5))) (- (+ (* h8 (pow (* (pow h0 h2) (* (pow h1 h2) (pow PI h2))) h5)) (- (+ (* h8 (* (pow h3 2) (pow (* (pow PI h2) (* (pow h1 h2) (pow h0 h2))) h5))) (- (* h8 (* h3 (pow (* (pow h0 h2) (* (pow h1 h2) (pow PI h2))) h5)))))))))))))))))))))) (- (+ (* h8 (/ (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (pow h3 3))) (- (+ (* h8 (/ (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) h3)) (- (* h8 (/ (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (pow h3 2)))))))) (- (+ (* h8 (/ (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) h3)) (- (+ (* h8 (/ (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (pow h3 2))) (- (* h8 (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))))))))) 0.791 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.807 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.870 * * [simplify]: iteration 2 : 5002 enodes (cost 1344 ) 0.877 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 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) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 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) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.877 * * * [progress]: adding candidates to table 1.288 * * [progress]: iteration 2 / 4 1.288 * * * [progress]: picking best candidate 1.306 * * * * [pick]: Picked # 1.306 * * * [progress]: localizing error 1.322 * * * [progress]: generating rewritten candidates 1.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.347 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.407 * * * [progress]: generating series expansions 1.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.408 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.408 * [taylor]: Taking taylor expansion of 0.5 in k 1.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.408 * [taylor]: Taking taylor expansion of 2.0 in k 1.408 * [taylor]: Taking taylor expansion of (* n PI) in k 1.408 * [taylor]: Taking taylor expansion of n in k 1.408 * [taylor]: Taking taylor expansion of PI in k 1.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.409 * [taylor]: Taking taylor expansion of 0.5 in n 1.409 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.409 * [taylor]: Taking taylor expansion of 1.0 in n 1.409 * [taylor]: Taking taylor expansion of k in n 1.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.409 * [taylor]: Taking taylor expansion of 2.0 in n 1.409 * [taylor]: Taking taylor expansion of (* n PI) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.409 * [taylor]: Taking taylor expansion of PI in n 1.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.415 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.415 * [taylor]: Taking taylor expansion of 0.5 in n 1.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.415 * [taylor]: Taking taylor expansion of 1.0 in n 1.415 * [taylor]: Taking taylor expansion of k in n 1.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.415 * [taylor]: Taking taylor expansion of 2.0 in n 1.415 * [taylor]: Taking taylor expansion of (* n PI) in n 1.415 * [taylor]: Taking taylor expansion of n in n 1.415 * [taylor]: Taking taylor expansion of PI in n 1.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.421 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.421 * [taylor]: Taking taylor expansion of 0.5 in k 1.421 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.421 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.421 * [taylor]: Taking taylor expansion of 1.0 in k 1.421 * [taylor]: Taking taylor expansion of k in k 1.421 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.421 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.421 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.421 * [taylor]: Taking taylor expansion of 2.0 in k 1.421 * [taylor]: Taking taylor expansion of PI in k 1.422 * [taylor]: Taking taylor expansion of (log n) in k 1.422 * [taylor]: Taking taylor expansion of n in k 1.431 * [taylor]: Taking taylor expansion of 0 in k 1.447 * [taylor]: Taking taylor expansion of 0 in k 1.466 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.466 * [taylor]: Taking taylor expansion of 0.5 in k 1.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.466 * [taylor]: Taking taylor expansion of 1.0 in k 1.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.466 * [taylor]: Taking taylor expansion of k in k 1.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.466 * [taylor]: Taking taylor expansion of 2.0 in k 1.466 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.466 * [taylor]: Taking taylor expansion of PI in k 1.466 * [taylor]: Taking taylor expansion of n in k 1.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.467 * [taylor]: Taking taylor expansion of 0.5 in n 1.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.467 * [taylor]: Taking taylor expansion of 1.0 in n 1.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.467 * [taylor]: Taking taylor expansion of k 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 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.471 * [taylor]: Taking taylor expansion of 0.5 in n 1.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.471 * [taylor]: Taking taylor expansion of 1.0 in n 1.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.471 * [taylor]: Taking taylor expansion of k in n 1.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of 2.0 in n 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.475 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.475 * [taylor]: Taking taylor expansion of 0.5 in k 1.475 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.475 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.475 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.475 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.475 * [taylor]: Taking taylor expansion of 2.0 in k 1.475 * [taylor]: Taking taylor expansion of PI in k 1.476 * [taylor]: Taking taylor expansion of (log n) in k 1.476 * [taylor]: Taking taylor expansion of n in k 1.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.476 * [taylor]: Taking taylor expansion of k in k 1.491 * [taylor]: Taking taylor expansion of 0 in k 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.508 * [taylor]: Taking taylor expansion of 0 in k 1.509 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.509 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.509 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.509 * [taylor]: Taking taylor expansion of 0.5 in k 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.510 * [taylor]: Taking taylor expansion of -2.0 in k 1.510 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.510 * [taylor]: Taking taylor expansion of PI in k 1.510 * [taylor]: Taking taylor expansion of n in k 1.511 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.511 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.511 * [taylor]: Taking taylor expansion of 0.5 in n 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.511 * [taylor]: Taking taylor expansion of k in n 1.511 * [taylor]: Taking taylor expansion of 1.0 in n 1.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.511 * [taylor]: Taking taylor expansion of -2.0 in n 1.511 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.511 * [taylor]: Taking taylor expansion of PI in n 1.511 * [taylor]: Taking taylor expansion of n in n 1.515 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.515 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.515 * [taylor]: Taking taylor expansion of 0.5 in n 1.515 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.515 * [taylor]: Taking taylor expansion of k in n 1.515 * [taylor]: Taking taylor expansion of 1.0 in n 1.515 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.515 * [taylor]: Taking taylor expansion of -2.0 in n 1.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.515 * [taylor]: Taking taylor expansion of PI in n 1.515 * [taylor]: Taking taylor expansion of n in n 1.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.519 * [taylor]: Taking taylor expansion of 0.5 in k 1.519 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.519 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.519 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.519 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.519 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.519 * [taylor]: Taking taylor expansion of -2.0 in k 1.519 * [taylor]: Taking taylor expansion of PI in k 1.520 * [taylor]: Taking taylor expansion of (log n) in k 1.520 * [taylor]: Taking taylor expansion of n in k 1.529 * [taylor]: Taking taylor expansion of 0 in k 1.537 * [taylor]: Taking taylor expansion of 0 in k 1.546 * [taylor]: Taking taylor expansion of 0 in k 1.547 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.547 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.547 * [taylor]: Taking taylor expansion of 0.5 in k 1.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.547 * [taylor]: Taking taylor expansion of 1.0 in k 1.547 * [taylor]: Taking taylor expansion of k in k 1.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.547 * [taylor]: Taking taylor expansion of 2.0 in k 1.547 * [taylor]: Taking taylor expansion of (* n PI) in k 1.547 * [taylor]: Taking taylor expansion of n in k 1.547 * [taylor]: Taking taylor expansion of PI in k 1.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.548 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.548 * [taylor]: Taking taylor expansion of 0.5 in n 1.548 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.548 * [taylor]: Taking taylor expansion of 1.0 in n 1.548 * [taylor]: Taking taylor expansion of k in n 1.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.548 * [taylor]: Taking taylor expansion of 2.0 in n 1.548 * [taylor]: Taking taylor expansion of (* n PI) in n 1.548 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of PI in n 1.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.554 * [taylor]: Taking taylor expansion of 0.5 in n 1.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.554 * [taylor]: Taking taylor expansion of 1.0 in n 1.554 * [taylor]: Taking taylor expansion of k in n 1.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.554 * [taylor]: Taking taylor expansion of 2.0 in n 1.554 * [taylor]: Taking taylor expansion of (* n PI) in n 1.554 * [taylor]: Taking taylor expansion of n in n 1.554 * [taylor]: Taking taylor expansion of PI in n 1.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.559 * [taylor]: Taking taylor expansion of 0.5 in k 1.559 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.559 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.559 * [taylor]: Taking taylor expansion of 1.0 in k 1.559 * [taylor]: Taking taylor expansion of k in k 1.559 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.559 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.559 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.559 * [taylor]: Taking taylor expansion of 2.0 in k 1.559 * [taylor]: Taking taylor expansion of PI in k 1.560 * [taylor]: Taking taylor expansion of (log n) in k 1.561 * [taylor]: Taking taylor expansion of n in k 1.570 * [taylor]: Taking taylor expansion of 0 in k 1.591 * [taylor]: Taking taylor expansion of 0 in k 1.611 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.611 * [taylor]: Taking taylor expansion of 0.5 in k 1.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.611 * [taylor]: Taking taylor expansion of 1.0 in k 1.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.611 * [taylor]: Taking taylor expansion of k in k 1.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.611 * [taylor]: Taking taylor expansion of 2.0 in k 1.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.611 * [taylor]: Taking taylor expansion of PI in k 1.611 * [taylor]: Taking taylor expansion of n in k 1.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.612 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.612 * [taylor]: Taking taylor expansion of 0.5 in n 1.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.612 * [taylor]: Taking taylor expansion of 1.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.612 * [taylor]: Taking taylor expansion of k in n 1.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of 2.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.613 * [taylor]: Taking taylor expansion of PI in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.616 * [taylor]: Taking taylor expansion of 0.5 in n 1.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.616 * [taylor]: Taking taylor expansion of 1.0 in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.616 * [taylor]: Taking taylor expansion of k in n 1.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.616 * [taylor]: Taking taylor expansion of 2.0 in n 1.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.616 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.620 * [taylor]: Taking taylor expansion of 0.5 in k 1.620 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.620 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.620 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.620 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.620 * [taylor]: Taking taylor expansion of 2.0 in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.621 * [taylor]: Taking taylor expansion of (log n) in k 1.621 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.621 * [taylor]: Taking taylor expansion of k in k 1.631 * [taylor]: Taking taylor expansion of 0 in k 1.638 * [taylor]: Taking taylor expansion of 0 in k 1.647 * [taylor]: Taking taylor expansion of 0 in k 1.649 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.649 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.649 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.649 * [taylor]: Taking taylor expansion of 0.5 in k 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.649 * [taylor]: Taking taylor expansion of k in k 1.649 * [taylor]: Taking taylor expansion of 1.0 in k 1.649 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.649 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.649 * [taylor]: Taking taylor expansion of -2.0 in k 1.649 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.649 * [taylor]: Taking taylor expansion of PI in k 1.649 * [taylor]: Taking taylor expansion of n in k 1.650 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.650 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.650 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.650 * [taylor]: Taking taylor expansion of 0.5 in n 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.650 * [taylor]: Taking taylor expansion of k in n 1.650 * [taylor]: Taking taylor expansion of 1.0 in n 1.650 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.650 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.650 * [taylor]: Taking taylor expansion of -2.0 in n 1.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.650 * [taylor]: Taking taylor expansion of PI in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.654 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.654 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.654 * [taylor]: Taking taylor expansion of 0.5 in n 1.654 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.654 * [taylor]: Taking taylor expansion of k in n 1.654 * [taylor]: Taking taylor expansion of 1.0 in n 1.654 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.654 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.654 * [taylor]: Taking taylor expansion of -2.0 in n 1.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.654 * [taylor]: Taking taylor expansion of PI in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.658 * [taylor]: Taking taylor expansion of 0.5 in k 1.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.658 * [taylor]: Taking taylor expansion of k in k 1.658 * [taylor]: Taking taylor expansion of 1.0 in k 1.658 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.658 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.658 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.658 * [taylor]: Taking taylor expansion of -2.0 in k 1.658 * [taylor]: Taking taylor expansion of PI in k 1.659 * [taylor]: Taking taylor expansion of (log n) in k 1.659 * [taylor]: Taking taylor expansion of n in k 1.668 * [taylor]: Taking taylor expansion of 0 in k 1.675 * [taylor]: Taking taylor expansion of 0 in k 1.690 * [taylor]: Taking taylor expansion of 0 in k 1.691 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.691 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.691 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.691 * [taylor]: Taking taylor expansion of 2.0 in n 1.691 * [taylor]: Taking taylor expansion of (* n PI) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [taylor]: Taking taylor expansion of PI in n 1.691 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.691 * [taylor]: Taking taylor expansion of 2.0 in n 1.691 * [taylor]: Taking taylor expansion of (* n PI) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [taylor]: Taking taylor expansion of PI in n 1.705 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.705 * [taylor]: Taking taylor expansion of 2.0 in n 1.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.706 * [taylor]: Taking taylor expansion of 2.0 in n 1.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.715 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 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 1.715 * [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 1.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.725 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.725 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.725 * [taylor]: Taking taylor expansion of 2.0 in n 1.725 * [taylor]: Taking taylor expansion of (* n PI) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.725 * [taylor]: Taking taylor expansion of PI in n 1.725 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.725 * [taylor]: Taking taylor expansion of 2.0 in n 1.725 * [taylor]: Taking taylor expansion of (* n PI) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.725 * [taylor]: Taking taylor expansion of PI in n 1.738 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.748 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.748 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.748 * [taylor]: Taking taylor expansion of -2.0 in n 1.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.748 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.748 * [taylor]: Taking taylor expansion of -2.0 in n 1.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.757 * * * [progress]: simplifying candidates 1.759 * [simplify]: Simplifying using # : (* (+ (+ (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)) (* (+ (+ (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)) (* (* 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.760 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0)) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ h2 h0)) (pow (* (* h0 PI) h1) (/ h3 h0)) (pow (* (* h0 PI) h1) (* (cbrt (/ (- h2 h3) h0)) (cbrt (/ (- h2 h3) h0)))) (pow (* (* h0 PI) h1) (sqrt (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) 1)) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) 1) (pow (* (* h0 PI) h1) (- h2 h3)) (pow (* h0 PI) (/ (- h2 h3) h0)) (pow h1 (/ (- h2 h3) h0)) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (exp (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0)) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ h2 h0)) (pow (* (* h0 PI) h1) (/ h3 h0)) (pow (* (* h0 PI) h1) (* (cbrt (/ (- h2 h3) h0)) (cbrt (/ (- h2 h3) h0)))) (pow (* (* h0 PI) h1) (sqrt (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) 1)) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) 1) (pow (* (* h0 PI) h1) (- h2 h3)) (pow (* h0 PI) (/ (- h2 h3) h0)) (pow h1 (/ (- h2 h3) h0)) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (exp (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (* (* h0 PI) h1) (* (* h0 PI) h1) (+ (+ (log h0) (log PI)) (log h1)) (+ (log (* h0 PI)) (log h1)) (log (* (* h0 PI) h1)) (exp (* (* h0 PI) h1)) (* (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (* (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 PI) h1)) (cbrt (* (* h0 PI) h1))) (cbrt (* (* h0 PI) h1)) (* (* (* (* h0 PI) h1) (* (* h0 PI) h1)) (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (* (* h0 PI) (sqrt h1)) (* (* h0 PI) 1) (* PI h1) (* (* h0 PI) h1) (* (* h0 PI) h1) (+ (+ (log h0) (log PI)) (log h1)) (+ (log (* h0 PI)) (log h1)) (log (* (* h0 PI) h1)) (exp (* (* h0 PI) h1)) (* (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (* (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 PI) h1)) (cbrt (* (* h0 PI) h1))) (cbrt (* (* h0 PI) h1)) (* (* (* (* h0 PI) h1) (* (* h0 PI) h1)) (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (* (* h0 PI) (sqrt h1)) (* (* h0 PI) 1) (* PI h1) (- (+ (* h4 (* (pow h3 2) (* (pow (log (* h0 PI)) 2) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h4 (* (pow h3 2) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (pow (log h1) 2)))) (+ (* h6 (* (pow h3 2) (* (log (* h0 PI)) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1))))) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h5 (* h3 (* (log (* h0 PI)) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (* h5 (* h3 (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1)))))) (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (- (+ (* h4 (* (pow h3 2) (* (pow (log (* h0 PI)) 2) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h4 (* (pow h3 2) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (pow (log h1) 2)))) (+ (* h6 (* (pow h3 2) (* (log (* h0 PI)) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1))))) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h5 (* h3 (* (log (* h0 PI)) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (* h5 (* h3 (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1)))))) (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h0 (* h1 PI)) 1.765 * * [simplify]: iteration 0 : 399 enodes (cost 798 ) 1.772 * * [simplify]: iteration 1 : 1625 enodes (cost 738 ) 1.803 * * [simplify]: iteration 2 : 5001 enodes (cost 694 ) 1.807 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 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) (* (* 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) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.808 * * * [progress]: adding candidates to table 2.184 * * [progress]: iteration 3 / 4 2.184 * * * [progress]: picking best candidate 2.205 * * * * [pick]: Picked # 2.205 * * * [progress]: localizing error 2.231 * * * [progress]: generating rewritten candidates 2.231 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.358 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 2.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1 2 2) 2.364 * * * [progress]: generating series expansions 2.364 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.365 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.365 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.365 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.365 * [taylor]: Taking taylor expansion of 0.5 in k 2.365 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of k in k 2.365 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.365 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.365 * [taylor]: Taking taylor expansion of 2.0 in k 2.365 * [taylor]: Taking taylor expansion of (* n PI) in k 2.365 * [taylor]: Taking taylor expansion of n in k 2.365 * [taylor]: Taking taylor expansion of PI in k 2.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.366 * [taylor]: Taking taylor expansion of 0.5 in n 2.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.366 * [taylor]: Taking taylor expansion of 1.0 in n 2.366 * [taylor]: Taking taylor expansion of k in n 2.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.366 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.366 * [taylor]: Taking taylor expansion of 2.0 in n 2.366 * [taylor]: Taking taylor expansion of (* n PI) in n 2.366 * [taylor]: Taking taylor expansion of n in n 2.366 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.372 * [taylor]: Taking taylor expansion of 0.5 in n 2.372 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.372 * [taylor]: Taking taylor expansion of 1.0 in n 2.372 * [taylor]: Taking taylor expansion of k in n 2.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (* n PI) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.378 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.378 * [taylor]: Taking taylor expansion of 0.5 in k 2.378 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.378 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.378 * [taylor]: Taking taylor expansion of 1.0 in k 2.378 * [taylor]: Taking taylor expansion of k in k 2.378 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.378 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.378 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.378 * [taylor]: Taking taylor expansion of 2.0 in k 2.378 * [taylor]: Taking taylor expansion of PI in k 2.379 * [taylor]: Taking taylor expansion of (log n) in k 2.379 * [taylor]: Taking taylor expansion of n in k 2.388 * [taylor]: Taking taylor expansion of 0 in k 2.409 * [taylor]: Taking taylor expansion of 0 in k 2.428 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.428 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.428 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.428 * [taylor]: Taking taylor expansion of 0.5 in k 2.428 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.429 * [taylor]: Taking taylor expansion of 1.0 in k 2.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.429 * [taylor]: Taking taylor expansion of k in k 2.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.429 * [taylor]: Taking taylor expansion of 2.0 in k 2.429 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.429 * [taylor]: Taking taylor expansion of PI in k 2.429 * [taylor]: Taking taylor expansion of n in k 2.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.430 * [taylor]: Taking taylor expansion of 0.5 in n 2.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.430 * [taylor]: Taking taylor expansion of 1.0 in n 2.430 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.430 * [taylor]: Taking taylor expansion of k in n 2.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.430 * [taylor]: Taking taylor expansion of 2.0 in n 2.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.430 * [taylor]: Taking taylor expansion of PI in n 2.430 * [taylor]: Taking taylor expansion of n in n 2.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.434 * [taylor]: Taking taylor expansion of 0.5 in n 2.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.434 * [taylor]: Taking taylor expansion of 1.0 in n 2.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.434 * [taylor]: Taking taylor expansion of k in n 2.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.434 * [taylor]: Taking taylor expansion of 2.0 in n 2.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.434 * [taylor]: Taking taylor expansion of PI in n 2.434 * [taylor]: Taking taylor expansion of n in n 2.438 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.438 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.438 * [taylor]: Taking taylor expansion of 0.5 in k 2.438 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.438 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.438 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.438 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.438 * [taylor]: Taking taylor expansion of 2.0 in k 2.438 * [taylor]: Taking taylor expansion of PI in k 2.439 * [taylor]: Taking taylor expansion of (log n) in k 2.439 * [taylor]: Taking taylor expansion of n in k 2.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.439 * [taylor]: Taking taylor expansion of 1.0 in k 2.439 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.439 * [taylor]: Taking taylor expansion of k in k 2.449 * [taylor]: Taking taylor expansion of 0 in k 2.456 * [taylor]: Taking taylor expansion of 0 in k 2.466 * [taylor]: Taking taylor expansion of 0 in k 2.468 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in k 2.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in k 2.468 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.468 * [taylor]: Taking taylor expansion of 0.5 in k 2.468 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.468 * [taylor]: Taking taylor expansion of k in k 2.468 * [taylor]: Taking taylor expansion of 1.0 in k 2.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in k 2.468 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in k 2.468 * [taylor]: Taking taylor expansion of 2.0 in k 2.468 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in k 2.468 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in k 2.468 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in k 2.468 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.468 * [taylor]: Taking taylor expansion of -1 in k 2.469 * [taylor]: Taking taylor expansion of PI in k 2.469 * [taylor]: Taking taylor expansion of n in k 2.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in n 2.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in n 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.475 * [taylor]: Taking taylor expansion of 0.5 in n 2.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.475 * [taylor]: Taking taylor expansion of k in n 2.475 * [taylor]: Taking taylor expansion of 1.0 in n 2.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in n 2.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in n 2.475 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in n 2.475 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in n 2.475 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 2.475 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.475 * [taylor]: Taking taylor expansion of -1 in n 2.476 * [taylor]: Taking taylor expansion of PI in n 2.476 * [taylor]: Taking taylor expansion of n in n 2.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))))) in n 2.483 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)))) in n 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.483 * [taylor]: Taking taylor expansion of 0.5 in n 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.483 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.483 * [taylor]: Taking taylor expansion of k in n 2.483 * [taylor]: Taking taylor expansion of 1.0 in n 2.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n))) in n 2.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (pow (cbrt -1) 3) PI) n)) in n 2.483 * [taylor]: Taking taylor expansion of 2.0 in n 2.483 * [taylor]: Taking taylor expansion of (/ (* (pow (cbrt -1) 3) PI) n) in n 2.483 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) PI) in n 2.483 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in n 2.483 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.483 * [taylor]: Taking taylor expansion of -1 in n 2.484 * [taylor]: Taking taylor expansion of PI in n 2.484 * [taylor]: Taking taylor expansion of n in n 2.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.492 * [taylor]: Taking taylor expansion of 0.5 in k 2.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.492 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.492 * [taylor]: Taking taylor expansion of k in k 2.492 * [taylor]: Taking taylor expansion of 1.0 in k 2.492 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.492 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.492 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.492 * [taylor]: Taking taylor expansion of -2.0 in k 2.492 * [taylor]: Taking taylor expansion of PI in k 2.493 * [taylor]: Taking taylor expansion of (log n) in k 2.493 * [taylor]: Taking taylor expansion of n in k 2.510 * [taylor]: Taking taylor expansion of 0 in k 2.521 * [taylor]: Taking taylor expansion of 0 in k 2.533 * [taylor]: Taking taylor expansion of 0 in k 2.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 2.535 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.535 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.535 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.535 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.535 * [taylor]: Taking taylor expansion of 0.5 in k 2.535 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.535 * [taylor]: Taking taylor expansion of 1.0 in k 2.535 * [taylor]: Taking taylor expansion of k in k 2.535 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.535 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.535 * [taylor]: Taking taylor expansion of 2.0 in k 2.535 * [taylor]: Taking taylor expansion of (* n PI) in k 2.535 * [taylor]: Taking taylor expansion of n in k 2.535 * [taylor]: Taking taylor expansion of PI in k 2.536 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.536 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.536 * [taylor]: Taking taylor expansion of 0.5 in n 2.536 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.536 * [taylor]: Taking taylor expansion of 1.0 in n 2.536 * [taylor]: Taking taylor expansion of k in n 2.536 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.536 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.536 * [taylor]: Taking taylor expansion of 2.0 in n 2.536 * [taylor]: Taking taylor expansion of (* n PI) in n 2.536 * [taylor]: Taking taylor expansion of n in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.541 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.541 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.541 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.541 * [taylor]: Taking taylor expansion of 0.5 in n 2.541 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.541 * [taylor]: Taking taylor expansion of 1.0 in n 2.541 * [taylor]: Taking taylor expansion of k in n 2.541 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.541 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.541 * [taylor]: Taking taylor expansion of 2.0 in n 2.541 * [taylor]: Taking taylor expansion of (* n PI) in n 2.541 * [taylor]: Taking taylor expansion of n in n 2.541 * [taylor]: Taking taylor expansion of PI in n 2.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.547 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.547 * [taylor]: Taking taylor expansion of 0.5 in k 2.547 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.547 * [taylor]: Taking taylor expansion of 1.0 in k 2.547 * [taylor]: Taking taylor expansion of k in k 2.547 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.547 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.547 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.547 * [taylor]: Taking taylor expansion of 2.0 in k 2.547 * [taylor]: Taking taylor expansion of PI in k 2.548 * [taylor]: Taking taylor expansion of (log n) in k 2.548 * [taylor]: Taking taylor expansion of n in k 2.557 * [taylor]: Taking taylor expansion of 0 in k 2.574 * [taylor]: Taking taylor expansion of 0 in k 2.598 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.599 * [taylor]: Taking taylor expansion of 0.5 in k 2.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.599 * [taylor]: Taking taylor expansion of 1.0 in k 2.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.599 * [taylor]: Taking taylor expansion of k in k 2.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.599 * [taylor]: Taking taylor expansion of 2.0 in k 2.599 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.599 * [taylor]: Taking taylor expansion of PI in k 2.599 * [taylor]: Taking taylor expansion of n in k 2.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.600 * [taylor]: Taking taylor expansion of 0.5 in n 2.600 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.600 * [taylor]: Taking taylor expansion of 1.0 in n 2.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.600 * [taylor]: Taking taylor expansion of k in n 2.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.600 * [taylor]: Taking taylor expansion of 2.0 in n 2.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.600 * [taylor]: Taking taylor expansion of PI in n 2.600 * [taylor]: Taking taylor expansion of n in n 2.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.604 * [taylor]: Taking taylor expansion of 0.5 in n 2.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.604 * [taylor]: Taking taylor expansion of 1.0 in n 2.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.604 * [taylor]: Taking taylor expansion of k in n 2.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.604 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.604 * [taylor]: Taking taylor expansion of 2.0 in n 2.604 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.604 * [taylor]: Taking taylor expansion of PI in n 2.604 * [taylor]: Taking taylor expansion of n in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.608 * [taylor]: Taking taylor expansion of 0.5 in k 2.608 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.608 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.608 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.608 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.608 * [taylor]: Taking taylor expansion of 2.0 in k 2.608 * [taylor]: Taking taylor expansion of PI in k 2.609 * [taylor]: Taking taylor expansion of (log n) in k 2.609 * [taylor]: Taking taylor expansion of n in k 2.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.609 * [taylor]: Taking taylor expansion of 1.0 in k 2.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.609 * [taylor]: Taking taylor expansion of k in k 2.619 * [taylor]: Taking taylor expansion of 0 in k 2.626 * [taylor]: Taking taylor expansion of 0 in k 2.635 * [taylor]: Taking taylor expansion of 0 in k 2.637 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.637 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.637 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.637 * [taylor]: Taking taylor expansion of 0.5 in k 2.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.637 * [taylor]: Taking taylor expansion of k in k 2.637 * [taylor]: Taking taylor expansion of 1.0 in k 2.637 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.637 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.637 * [taylor]: Taking taylor expansion of -2.0 in k 2.637 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.637 * [taylor]: Taking taylor expansion of PI in k 2.637 * [taylor]: Taking taylor expansion of n in k 2.638 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.638 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.638 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.638 * [taylor]: Taking taylor expansion of 0.5 in n 2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.638 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.638 * [taylor]: Taking taylor expansion of k in n 2.638 * [taylor]: Taking taylor expansion of 1.0 in n 2.638 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.638 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.638 * [taylor]: Taking taylor expansion of -2.0 in n 2.638 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.638 * [taylor]: Taking taylor expansion of PI in n 2.638 * [taylor]: Taking taylor expansion of n in n 2.642 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.642 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.642 * [taylor]: Taking taylor expansion of 0.5 in n 2.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.642 * [taylor]: Taking taylor expansion of k in n 2.642 * [taylor]: Taking taylor expansion of 1.0 in n 2.642 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.642 * [taylor]: Taking taylor expansion of -2.0 in n 2.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.642 * [taylor]: Taking taylor expansion of PI in n 2.642 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.646 * [taylor]: Taking taylor expansion of 0.5 in k 2.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.646 * [taylor]: Taking taylor expansion of k in k 2.646 * [taylor]: Taking taylor expansion of 1.0 in k 2.646 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.646 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.646 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.646 * [taylor]: Taking taylor expansion of -2.0 in k 2.646 * [taylor]: Taking taylor expansion of PI in k 2.647 * [taylor]: Taking taylor expansion of (log n) in k 2.647 * [taylor]: Taking taylor expansion of n in k 2.656 * [taylor]: Taking taylor expansion of 0 in k 2.663 * [taylor]: Taking taylor expansion of 0 in k 2.673 * [taylor]: Taking taylor expansion of 0 in k 2.673 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 2.674 * [approximate]: Taking taylor expansion of (pow n 1/3) in (n) around 0 2.674 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 2.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 2.674 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 2.674 * [taylor]: Taking taylor expansion of 1/3 in n 2.674 * [taylor]: Taking taylor expansion of (log n) in n 2.674 * [taylor]: Taking taylor expansion of n in n 2.674 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 2.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 2.674 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 2.674 * [taylor]: Taking taylor expansion of 1/3 in n 2.674 * [taylor]: Taking taylor expansion of (log n) in n 2.674 * [taylor]: Taking taylor expansion of n in n 2.732 * [approximate]: Taking taylor expansion of (pow (/ 1 n) 1/3) in (n) around 0 2.732 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.732 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.732 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.732 * [taylor]: Taking taylor expansion of 1/3 in n 2.732 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.732 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.732 * [taylor]: Taking taylor expansion of n in n 2.733 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.733 * [taylor]: Taking taylor expansion of 1/3 in n 2.733 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.733 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.733 * [taylor]: Taking taylor expansion of n in n 2.795 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in (n) around 0 2.795 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 2.795 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.795 * [taylor]: Taking taylor expansion of -1 in n 2.796 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.796 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.796 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.796 * [taylor]: Taking taylor expansion of 1/3 in n 2.796 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.796 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.796 * [taylor]: Taking taylor expansion of n in n 2.797 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 2.797 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.797 * [taylor]: Taking taylor expansion of -1 in n 2.797 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.797 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.797 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.797 * [taylor]: Taking taylor expansion of 1/3 in n 2.797 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.797 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.798 * [taylor]: Taking taylor expansion of n in n 2.871 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1 2 2) 2.871 * [approximate]: Taking taylor expansion of (pow n 1/3) in (n) around 0 2.871 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 2.871 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 2.871 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 2.871 * [taylor]: Taking taylor expansion of 1/3 in n 2.871 * [taylor]: Taking taylor expansion of (log n) in n 2.871 * [taylor]: Taking taylor expansion of n in n 2.872 * [taylor]: Taking taylor expansion of (pow n 1/3) in n 2.872 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log n))) in n 2.872 * [taylor]: Taking taylor expansion of (* 1/3 (log n)) in n 2.872 * [taylor]: Taking taylor expansion of 1/3 in n 2.872 * [taylor]: Taking taylor expansion of (log n) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.923 * [approximate]: Taking taylor expansion of (pow (/ 1 n) 1/3) in (n) around 0 2.923 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.923 * [taylor]: Taking taylor expansion of 1/3 in n 2.923 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.923 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.923 * [taylor]: Taking taylor expansion of n in n 2.924 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.924 * [taylor]: Taking taylor expansion of 1/3 in n 2.924 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.924 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.924 * [taylor]: Taking taylor expansion of n in n 2.985 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in (n) around 0 2.985 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 2.985 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.985 * [taylor]: Taking taylor expansion of -1 in n 2.985 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.985 * [taylor]: Taking taylor expansion of 1/3 in n 2.985 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.985 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 n) 1/3)) in n 2.986 * [taylor]: Taking taylor expansion of (cbrt -1) in n 2.986 * [taylor]: Taking taylor expansion of -1 in n 2.987 * [taylor]: Taking taylor expansion of (pow (/ 1 n) 1/3) in n 2.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 n)))) in n 2.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 n))) in n 2.987 * [taylor]: Taking taylor expansion of 1/3 in n 2.987 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.987 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.987 * [taylor]: Taking taylor expansion of n in n 3.059 * * * [progress]: simplifying candidates 3.061 * [simplify]: Simplifying using # : (* (+ (+ (+ (log 2.0) (log PI)) (+ (log (cbrt n)) (log (cbrt n)))) (log (cbrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (+ (log 2.0) (log PI)) (log (* (cbrt n) (cbrt n)))) (log (cbrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (+ (log (cbrt n)) (log (cbrt n)))) (log (cbrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (* (cbrt n) (cbrt n)))) (log (cbrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (* (cbrt n) (cbrt n)))) (log (cbrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) 1) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (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)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) (cbrt 1) (cbrt n) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) (* (* (cbrt n) (cbrt n)) (cbrt n)) (sqrt (cbrt n)) (sqrt (cbrt n)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) (cbrt 1) (cbrt n) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) (* (* (cbrt n) (cbrt n)) (cbrt n)) (sqrt (cbrt n)) (sqrt (cbrt n)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow 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)) 3.062 * [simplify]: Sending expressions to egg_math: (* (+ (+ (+ (log h0) (log PI)) (+ (log (cbrt h1)) (log (cbrt h1)))) (log (cbrt h1))) (/ (- h2 h3) h0)) (* (+ (+ (+ (log h0) (log PI)) (log (* (cbrt h1) (cbrt h1)))) (log (cbrt h1))) (/ (- h2 h3) h0)) (* (+ (+ (log (* h0 PI)) (+ (log (cbrt h1)) (log (cbrt h1)))) (log (cbrt h1))) (/ (- h2 h3) h0)) (* (+ (+ (log (* h0 PI)) (log (* (cbrt h1) (cbrt h1)))) (log (cbrt h1))) (/ (- h2 h3) h0)) (* (+ (log (* (* h0 PI) (* (cbrt h1) (cbrt h1)))) (log (cbrt h1))) (/ (- h2 h3) h0)) (* (log (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1))) (/ (- h2 h3) h0)) (* (log (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1))) (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ h2 h0)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ h3 h0)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (* (cbrt (/ (- h2 h3) h0)) (cbrt (/ (- h2 h3) h0)))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (sqrt (/ (- h2 h3) h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt h0) (cbrt h0)))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (sqrt h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) 1)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (sqrt (- h2 h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (sqrt (- h2 h3)) (sqrt h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (sqrt (- h2 h3)) 1)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ 1 (sqrt h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ 1 1)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (+ (sqrt h2) (sqrt h3)) (sqrt h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (+ (sqrt h2) (sqrt h3)) 1)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ 1 (sqrt h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ 1 1)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) 1) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (- h2 h3)) (pow (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (/ (- h2 h3) h0)) (pow (cbrt h1) (/ (- h2 h3) h0)) (log (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (exp (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (* (cbrt (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (cbrt (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0)))) (cbrt (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (* (* (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (sqrt (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (sqrt (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (- h2 h3) h0))) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (/ (- h2 h3) h0) 2)) (pow (* (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (cbrt h1)) (/ (/ (- h2 h3) h0) 2)) (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0)) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ h2 h0)) (pow (* (* h0 PI) h1) (/ h3 h0)) (pow (* (* h0 PI) h1) (* (cbrt (/ (- h2 h3) h0)) (cbrt (/ (- h2 h3) h0)))) (pow (* (* h0 PI) h1) (sqrt (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) 1)) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) 1) (pow (* (* h0 PI) h1) (- h2 h3)) (pow (* h0 PI) (/ (- h2 h3) h0)) (pow h1 (/ (- h2 h3) h0)) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (exp (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (log (cbrt h1)) (exp (cbrt h1)) (cbrt (* (cbrt h1) (cbrt h1))) (cbrt (cbrt h1)) (cbrt (sqrt h1)) (cbrt (sqrt h1)) (cbrt 1) (cbrt h1) (* (cbrt (cbrt h1)) (cbrt (cbrt h1))) (cbrt (cbrt h1)) (* (* (cbrt h1) (cbrt h1)) (cbrt h1)) (sqrt (cbrt h1)) (sqrt (cbrt h1)) (- (+ (* h4 (* (pow h3 2) (* (pow (log (* h0 PI)) 2) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h4 (* (pow h3 2) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (pow (log h1) 2)))) (+ (* h6 (* (pow h3 2) (* (log (* h0 PI)) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1))))) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h5 (* h3 (* (log (* h0 PI)) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (* h5 (* h3 (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1)))))) (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (- (+ (* h4 (* (pow h3 2) (* (pow (log (* h0 PI)) 2) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h4 (* (pow h3 2) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (pow (log h1) 2)))) (+ (* h6 (* (pow h3 2) (* (log (* h0 PI)) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1))))) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h5 (* h3 (* (log (* h0 PI)) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (* h5 (* h3 (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1)))))) (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) (pow h1 1/3) (pow (/ 1 h1) -1/3) (* (pow (* -1 h1) 1/3) (cbrt -1)) 3.067 * * [simplify]: iteration 0 : 501 enodes (cost 956 ) 3.075 * * [simplify]: iteration 1 : 1597 enodes (cost 898 ) 3.100 * * [simplify]: iteration 2 : 5001 enodes (cost 687 ) 3.104 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) (cbrt 1) (pow n 1/3) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) n (sqrt (cbrt n)) (sqrt (cbrt n)) (log (cbrt n)) (exp (cbrt n)) (cbrt (* (cbrt n) (cbrt n))) (cbrt (cbrt n)) (cbrt (sqrt n)) (cbrt (sqrt n)) (cbrt 1) (pow n 1/3) (* (cbrt (cbrt n)) (cbrt (cbrt n))) (cbrt (cbrt n)) n (sqrt (cbrt n)) (sqrt (cbrt n)) (+ (+ (* (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5))) (pow k 2)) (* (+ (* (* 0.125 (pow k 2)) (pow (log n) 2)) 1) (pow (* (* 2.0 PI) n) 0.5))) (+ (* (pow (* (* 2.0 PI) n) 0.5) (- (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) (* (* 0.5 k) (log (* 2.0 PI))))) (* (- (* 0.5 k)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (* (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5))) (pow k 2)) (* (+ (* (* 0.125 (pow k 2)) (pow (log n) 2)) 1) (pow (* (* 2.0 PI) n) 0.5))) (+ (* (pow (* (* 2.0 PI) n) 0.5) (- (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) (* (* 0.5 k) (log (* 2.0 PI))))) (* (- (* 0.5 k)) (* (pow (* (* 2.0 PI) n) 0.5) (log n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 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)) 3.105 * * * [progress]: adding candidates to table 3.532 * * [progress]: iteration 4 / 4 3.532 * * * [progress]: picking best candidate 3.545 * * * * [pick]: Picked # 3.545 * * * [progress]: localizing error 3.560 * * * [progress]: generating rewritten candidates 3.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.581 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.609 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.665 * * * [progress]: generating series expansions 3.665 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.666 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.666 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.666 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.666 * [taylor]: Taking taylor expansion of 0.5 in k 3.666 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.666 * [taylor]: Taking taylor expansion of 1.0 in k 3.666 * [taylor]: Taking taylor expansion of k in k 3.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.666 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.666 * [taylor]: Taking taylor expansion of 2.0 in k 3.666 * [taylor]: Taking taylor expansion of (* n PI) in k 3.666 * [taylor]: Taking taylor expansion of n in k 3.666 * [taylor]: Taking taylor expansion of PI in k 3.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.667 * [taylor]: Taking taylor expansion of 0.5 in n 3.667 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.667 * [taylor]: Taking taylor expansion of 1.0 in n 3.667 * [taylor]: Taking taylor expansion of k in n 3.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.667 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.667 * [taylor]: Taking taylor expansion of 2.0 in n 3.667 * [taylor]: Taking taylor expansion of (* n PI) in n 3.667 * [taylor]: Taking taylor expansion of n in n 3.667 * [taylor]: Taking taylor expansion of PI in n 3.672 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.673 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.673 * [taylor]: Taking taylor expansion of 0.5 in n 3.673 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.673 * [taylor]: Taking taylor expansion of 1.0 in n 3.673 * [taylor]: Taking taylor expansion of k in n 3.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.673 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.673 * [taylor]: Taking taylor expansion of 2.0 in n 3.673 * [taylor]: Taking taylor expansion of (* n PI) in n 3.673 * [taylor]: Taking taylor expansion of n in n 3.673 * [taylor]: Taking taylor expansion of PI in n 3.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.678 * [taylor]: Taking taylor expansion of 0.5 in k 3.678 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.678 * [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 PI)) (log n)) in k 3.679 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.679 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.679 * [taylor]: Taking taylor expansion of 2.0 in k 3.679 * [taylor]: Taking taylor expansion of PI in k 3.680 * [taylor]: Taking taylor expansion of (log n) in k 3.680 * [taylor]: Taking taylor expansion of n in k 3.689 * [taylor]: Taking taylor expansion of 0 in k 3.705 * [taylor]: Taking taylor expansion of 0 in k 3.731 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.731 * [taylor]: Taking taylor expansion of 0.5 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)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.732 * [taylor]: Taking taylor expansion of 0.5 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 3.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.733 * [taylor]: Taking taylor expansion of PI in n 3.733 * [taylor]: Taking taylor expansion of n in n 3.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.737 * [taylor]: Taking taylor expansion of 0.5 in n 3.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.737 * [taylor]: Taking taylor expansion of 1.0 in n 3.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.737 * [taylor]: Taking taylor expansion of k in n 3.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.737 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.737 * [taylor]: Taking taylor expansion of 2.0 in n 3.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.737 * [taylor]: Taking taylor expansion of PI in n 3.737 * [taylor]: Taking taylor expansion of n in n 3.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.741 * [taylor]: Taking taylor expansion of 0.5 in k 3.741 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.741 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.741 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.741 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.741 * [taylor]: Taking taylor expansion of 2.0 in k 3.741 * [taylor]: Taking taylor expansion of PI in k 3.742 * [taylor]: Taking taylor expansion of (log n) in k 3.742 * [taylor]: Taking taylor expansion of n in k 3.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.742 * [taylor]: Taking taylor expansion of 1.0 in k 3.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.742 * [taylor]: Taking taylor expansion of k in k 3.751 * [taylor]: Taking taylor expansion of 0 in k 3.759 * [taylor]: Taking taylor expansion of 0 in k 3.769 * [taylor]: Taking taylor expansion of 0 in k 3.770 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.770 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.770 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.770 * [taylor]: Taking taylor expansion of 0.5 in k 3.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.770 * [taylor]: Taking taylor expansion of k in k 3.770 * [taylor]: Taking taylor expansion of 1.0 in k 3.770 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.770 * [taylor]: Taking taylor expansion of -2.0 in k 3.770 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.770 * [taylor]: Taking taylor expansion of PI in k 3.770 * [taylor]: Taking taylor expansion of n in k 3.771 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.771 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.771 * [taylor]: Taking taylor expansion of 0.5 in n 3.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.771 * [taylor]: Taking taylor expansion of k in n 3.771 * [taylor]: Taking taylor expansion of 1.0 in n 3.771 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.771 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.771 * [taylor]: Taking taylor expansion of -2.0 in n 3.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.771 * [taylor]: Taking taylor expansion of PI in n 3.771 * [taylor]: Taking taylor expansion of n in n 3.775 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.775 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.775 * [taylor]: Taking taylor expansion of 0.5 in n 3.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.775 * [taylor]: Taking taylor expansion of k in n 3.775 * [taylor]: Taking taylor expansion of 1.0 in n 3.775 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.775 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.775 * [taylor]: Taking taylor expansion of -2.0 in n 3.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.775 * [taylor]: Taking taylor expansion of PI in n 3.775 * [taylor]: Taking taylor expansion of n in n 3.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.779 * [taylor]: Taking taylor expansion of 0.5 in k 3.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.779 * [taylor]: Taking taylor expansion of k in k 3.779 * [taylor]: Taking taylor expansion of 1.0 in k 3.779 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.779 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.779 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.779 * [taylor]: Taking taylor expansion of -2.0 in k 3.779 * [taylor]: Taking taylor expansion of PI in k 3.780 * [taylor]: Taking taylor expansion of (log n) in k 3.780 * [taylor]: Taking taylor expansion of n in k 3.789 * [taylor]: Taking taylor expansion of 0 in k 3.797 * [taylor]: Taking taylor expansion of 0 in k 3.806 * [taylor]: Taking taylor expansion of 0 in k 3.807 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.807 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.807 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.807 * [taylor]: Taking taylor expansion of 1.0 in k 3.807 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.807 * [taylor]: Taking taylor expansion of k in k 3.808 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.808 * [taylor]: Taking taylor expansion of 1.0 in k 3.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.808 * [taylor]: Taking taylor expansion of k in k 3.819 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.819 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.819 * [taylor]: Taking taylor expansion of 1.0 in k 3.819 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.819 * [taylor]: Taking taylor expansion of k in k 3.826 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.826 * [taylor]: Taking taylor expansion of 1.0 in k 3.826 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.826 * [taylor]: Taking taylor expansion of k in k 3.836 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.836 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.837 * [taylor]: Taking taylor expansion of 1.0 in k 3.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.837 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.837 * [taylor]: Taking taylor expansion of -1 in k 3.837 * [taylor]: Taking taylor expansion of k in k 3.838 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.838 * [taylor]: Taking taylor expansion of 1.0 in k 3.838 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.838 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.838 * [taylor]: Taking taylor expansion of -1 in k 3.838 * [taylor]: Taking taylor expansion of k in k 3.850 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.851 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.851 * [taylor]: Taking taylor expansion of 2.0 in n 3.851 * [taylor]: Taking taylor expansion of (* n PI) in n 3.851 * [taylor]: Taking taylor expansion of n in n 3.851 * [taylor]: Taking taylor expansion of PI in n 3.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.851 * [taylor]: Taking taylor expansion of 2.0 in n 3.851 * [taylor]: Taking taylor expansion of (* n PI) in n 3.851 * [taylor]: Taking taylor expansion of n in n 3.851 * [taylor]: Taking taylor expansion of PI in n 3.864 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.864 * [taylor]: Taking taylor expansion of 2.0 in n 3.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.864 * [taylor]: Taking taylor expansion of PI in n 3.864 * [taylor]: Taking taylor expansion of n in n 3.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.864 * [taylor]: Taking taylor expansion of 2.0 in n 3.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.864 * [taylor]: Taking taylor expansion of PI in n 3.864 * [taylor]: Taking taylor expansion of n in n 3.874 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.874 * [taylor]: Taking taylor expansion of -2.0 in n 3.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.874 * [taylor]: Taking taylor expansion of PI in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.874 * [taylor]: Taking taylor expansion of -2.0 in n 3.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.874 * [taylor]: Taking taylor expansion of PI in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.883 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 3.883 * [taylor]: Taking taylor expansion of 1.0 in k 3.883 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.883 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.883 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.883 * [taylor]: Taking taylor expansion of 1/4 in k 3.883 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.883 * [taylor]: Taking taylor expansion of k in k 3.884 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.884 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.884 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.884 * [taylor]: Taking taylor expansion of 1/4 in k 3.884 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.884 * [taylor]: Taking taylor expansion of k in k 3.951 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 3.951 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 3.951 * [taylor]: Taking taylor expansion of 1.0 in k 3.951 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.951 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.951 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.951 * [taylor]: Taking taylor expansion of 1/4 in k 3.951 * [taylor]: Taking taylor expansion of (log k) in k 3.951 * [taylor]: Taking taylor expansion of k in k 3.951 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 3.951 * [taylor]: Taking taylor expansion of 1.0 in k 3.951 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.951 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.951 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.951 * [taylor]: Taking taylor expansion of 1/4 in k 3.952 * [taylor]: Taking taylor expansion of (log k) in k 3.952 * [taylor]: Taking taylor expansion of k in k 4.016 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 4.016 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 4.016 * [taylor]: Taking taylor expansion of 1.0 in k 4.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.016 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.016 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.016 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.016 * [taylor]: Taking taylor expansion of -1 in k 4.016 * [taylor]: Taking taylor expansion of k in k 4.023 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.023 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.023 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.023 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.023 * [taylor]: Taking taylor expansion of -1 in k 4.023 * [taylor]: Taking taylor expansion of k in k 4.061 * * * [progress]: simplifying candidates 4.069 * [simplify]: Simplifying using # : (* (+ (+ (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)) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) 1) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) 1) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt 1))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 1) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt 1))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt 1)) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt 1))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) 1) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt 1))) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt 1)) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 1) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 1) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 1) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt 1))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt 1)) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) 1) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* 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) (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 4.072 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log PI)) (log h1)) (/ (- h2 h3) h0)) (* (+ (log (* h0 PI)) (log h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* (log (* (* h0 PI) h1)) (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (* 1 (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ h2 h0)) (pow (* (* h0 PI) h1) (/ h3 h0)) (pow (* (* h0 PI) h1) (* (cbrt (/ (- h2 h3) h0)) (cbrt (/ (- h2 h3) h0)))) (pow (* (* h0 PI) h1) (sqrt (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (* (cbrt (- h2 h3)) (cbrt (- h2 h3))) 1)) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (sqrt (- h2 h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) (sqrt h0))) (pow (* (* h0 PI) h1) (/ (+ (sqrt h2) (sqrt h3)) 1)) (pow (* (* h0 PI) h1) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 PI) h1) (/ 1 (sqrt h0))) (pow (* (* h0 PI) h1) (/ 1 1)) (pow (* (* h0 PI) h1) 1) (pow (* (* h0 PI) h1) (- h2 h3)) (pow (* h0 PI) (/ (- h2 h3) h0)) (pow h1 (/ (- h2 h3) h0)) (log (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (exp (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)))) (cbrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (* (* (pow (* (* h0 PI) h1) (/ (- h2 h3) h0)) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (sqrt (pow (* (* h0 PI) h1) (/ (- h2 h3) h0))) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (pow (* (* h0 PI) h1) (/ (/ (- h2 h3) h0) 2)) (- (- (log h2) (log (sqrt (sqrt h3)))) (log (sqrt (sqrt h3)))) (- (log (/ h2 (sqrt (sqrt h3)))) (log (sqrt (sqrt h3)))) (log (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (exp (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (/ (/ (* (* h2 h2) h2) (* (* (sqrt (sqrt h3)) (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (* (* (sqrt (sqrt h3)) (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (/ (* (* (/ h2 (sqrt (sqrt h3))) (/ h2 (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt h3)))) (* (* (sqrt (sqrt h3)) (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (* (cbrt (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (cbrt (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))))) (cbrt (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (* (* (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (sqrt (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (sqrt (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (- (/ h2 (sqrt (sqrt h3)))) (- (sqrt (sqrt h3))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt 1)) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) 1) (/ (cbrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt 1)) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) 1) (/ (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt 1)) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) 1) (/ (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) 1) (/ (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) 1) (/ (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) 1) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) 1) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) 1) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) 1) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) 1) (/ (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt (sqrt 1))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt 1)) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) (sqrt (sqrt (sqrt h3)))) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (* (cbrt h2) (cbrt h2)) 1) 1) (/ (/ (cbrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt 1)) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) 1) (/ (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) 1) (/ (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) 1) (/ (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) 1) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt 1))) 1) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) 1) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt 1)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt 1)) 1) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) 1) (/ (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) 1) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) 1) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ (sqrt h2) 1) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ (sqrt h2) 1) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) 1) (sqrt (sqrt 1))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) 1) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) 1) (sqrt 1)) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ (sqrt h2) 1) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ (sqrt h2) 1) 1) (/ (/ (sqrt h2) (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt 1)) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) 1) (/ (/ h2 (cbrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt 1)) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) 1) (/ (/ h2 (sqrt (cbrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt 1)) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) 1) (/ (/ h2 (sqrt (sqrt (cbrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) 1) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt 1))) 1) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) 1) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt 1)) 1) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt 1)) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt (sqrt h3)))) 1) (/ (/ h2 (sqrt (sqrt (sqrt h3)))) (sqrt (sqrt h3))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ (/ 1 1) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ (/ 1 1) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 1) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 1) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 1) (sqrt 1)) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ (/ 1 1) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ 1 1) 1) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ 1 (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ 1 (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ 1 (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ 1 (sqrt 1)) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ 1 (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ 1 1) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ h2 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ 1 (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3)))) (/ h2 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (cbrt (sqrt h3)))) (/ h2 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt (cbrt h3)))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt 1))) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt 1)) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ h2 1) (/ (/ 1 (sqrt (sqrt h3))) (sqrt (sqrt h3))) (/ 1 (sqrt (sqrt h3))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt 1))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) (sqrt 1)) (/ (/ h2 (sqrt (sqrt h3))) (sqrt (sqrt (sqrt h3)))) (/ (/ h2 (sqrt (sqrt h3))) 1) (/ (sqrt (sqrt h3)) (cbrt (/ h2 (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (sqrt (/ h2 (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (cbrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (cbrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt (cbrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (cbrt h2) (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (cbrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (cbrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt (cbrt h3))))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ (sqrt h2) (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ h2 (cbrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (cbrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt (cbrt h3))))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt (sqrt h3))))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ h2 (sqrt (sqrt h3)))) (/ (sqrt (sqrt h3)) (/ 1 (sqrt (sqrt h3)))) (* (sqrt (sqrt h3)) (sqrt (sqrt h3))) (* (* h0 PI) h1) (* (* h0 PI) h1) (+ (+ (log h0) (log PI)) (log h1)) (+ (log (* h0 PI)) (log h1)) (log (* (* h0 PI) h1)) (exp (* (* h0 PI) h1)) (* (* (* (* h0 h0) h0) (* (* PI PI) PI)) (* (* h1 h1) h1)) (* (* (* (* h0 PI) (* h0 PI)) (* h0 PI)) (* (* h1 h1) h1)) (* (cbrt (* (* h0 PI) h1)) (cbrt (* (* h0 PI) h1))) (cbrt (* (* h0 PI) h1)) (* (* (* (* h0 PI) h1) (* (* h0 PI) h1)) (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (sqrt (* (* h0 PI) h1)) (* (* h0 PI) (* (cbrt h1) (cbrt h1))) (* (* h0 PI) (sqrt h1)) (* (* h0 PI) 1) (* PI h1) (- (log h2) (log (sqrt (sqrt h3)))) (log (/ h2 (sqrt (sqrt h3)))) (exp (/ h2 (sqrt (sqrt h3)))) (/ (* (* h2 h2) h2) (* (* (sqrt (sqrt h3)) (sqrt (sqrt h3))) (sqrt (sqrt h3)))) (* (cbrt (/ h2 (sqrt (sqrt h3)))) (cbrt (/ h2 (sqrt (sqrt h3))))) (cbrt (/ h2 (sqrt (sqrt h3)))) (* (* (/ h2 (sqrt (sqrt h3))) (/ h2 (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt h3)))) (sqrt (/ h2 (sqrt (sqrt h3)))) (sqrt (/ h2 (sqrt (sqrt h3)))) (- h2) (- (sqrt (sqrt h3))) (/ (* (cbrt h2) (cbrt h2)) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (cbrt h2) (cbrt (sqrt (sqrt h3)))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (cbrt h2) (sqrt (cbrt (sqrt h3)))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (cbrt h2) (sqrt (sqrt (cbrt h3)))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt 1))) (/ (cbrt h2) (sqrt (sqrt h3))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (/ (* (cbrt h2) (cbrt h2)) (sqrt 1)) (/ (cbrt h2) (sqrt (sqrt h3))) (/ (* (cbrt h2) (cbrt h2)) (sqrt (sqrt (sqrt h3)))) (/ (cbrt h2) (sqrt (sqrt (sqrt h3)))) (/ (* (cbrt h2) (cbrt h2)) 1) (/ (cbrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ (sqrt h2) (cbrt (sqrt (sqrt h3)))) (/ (sqrt h2) (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ (sqrt h2) (sqrt (cbrt (sqrt h3)))) (/ (sqrt h2) (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ (sqrt h2) (sqrt (sqrt (cbrt h3)))) (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (/ (sqrt h2) (sqrt (sqrt 1))) (/ (sqrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (/ (sqrt h2) (sqrt 1)) (/ (sqrt h2) (sqrt (sqrt h3))) (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (/ (sqrt h2) (sqrt (sqrt (sqrt h3)))) (/ (sqrt h2) 1) (/ (sqrt h2) (sqrt (sqrt h3))) (/ 1 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ h2 (cbrt (sqrt (sqrt h3)))) (/ 1 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ h2 (sqrt (cbrt (sqrt h3)))) (/ 1 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ h2 (sqrt (sqrt (cbrt h3)))) (/ 1 (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ 1 (sqrt (sqrt 1))) (/ h2 (sqrt (sqrt h3))) (/ 1 (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ 1 (sqrt 1)) (/ h2 (sqrt (sqrt h3))) (/ 1 (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ 1 1) (/ h2 (sqrt (sqrt h3))) (/ 1 (sqrt (sqrt h3))) (/ (sqrt (sqrt h3)) h2) (/ h2 (* (cbrt (sqrt (sqrt h3))) (cbrt (sqrt (sqrt h3))))) (/ h2 (sqrt (* (cbrt (sqrt h3)) (cbrt (sqrt h3))))) (/ h2 (sqrt (sqrt (* (cbrt h3) (cbrt h3))))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt (sqrt 1))) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ h2 (sqrt 1)) (/ h2 (sqrt (sqrt (sqrt h3)))) (/ h2 1) (/ (sqrt (sqrt h3)) (cbrt h2)) (/ (sqrt (sqrt h3)) (sqrt h2)) (/ (sqrt (sqrt h3)) h2) (- (+ (* h4 (* (pow h3 2) (* (pow (log (* h0 PI)) 2) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h4 (* (pow h3 2) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (pow (log h1) 2)))) (+ (* h6 (* (pow h3 2) (* (log (* h0 PI)) (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1))))) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (+ (* h5 (* h3 (* (log (* h0 PI)) (exp (* h5 (+ (log (* h0 PI)) (log h1))))))) (* h5 (* h3 (* (exp (* h5 (+ (log (* h0 PI)) (log h1)))) (log h1)))))) (exp (* h5 (* (- (log (* h0 PI)) (log (/ 1 h1))) (- h2 h3)))) (exp (* h5 (* (- h2 h3) (- (log (* h7 PI)) (log (/ -1 h1)))))) (- (+ (* h8 h3) (- (+ (* h8 (pow h3 2)) (- h8))))) (- (+ (* h8 (/ 1 (pow h3 2))) (- (+ (* h8 (/ 1 h3)) (- (* h8 (/ 1 (pow h3 3)))))))) (- (+ (* h8 (/ 1 (pow h3 2))) (- (+ (* h8 (/ 1 h3)) (- h8))))) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h0 (* h1 PI)) (* h2 (pow (/ 1 h3) 1/4)) (* h2 (pow (/ 1 h3) 1/4)) (- (* h2 (sqrt h8)) (+ (* h8 (/ 1 (* (sqrt h8) (pow h3 2)))) (- (+ (* h8 (/ 1 (* (sqrt h8) h3))) (- (* h8 (/ 1 (* (pow (sqrt h8) 3) (pow h3 2))))))))) 4.094 * * [simplify]: iteration 0 : 1334 enodes (cost 5795 ) 4.115 * * [simplify]: iteration 1 : 5001 enodes (cost 5011 ) 4.134 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (- (log 1.0) (log (sqrt k))) (- (log 1.0) (log (sqrt k))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt k)) 3) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (cbrt (/ 1.0 (sqrt (sqrt k)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (* (cbrt k) (cbrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (* (cbrt k) (cbrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (sqrt (sqrt (* (cbrt k) (cbrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (* (cbrt k) (cbrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (sqrt (sqrt (* (cbrt k) (cbrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (* (cbrt k) (cbrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (* (* 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) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 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)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) +nan.0)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) k)) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 4.139 * * * [progress]: adding candidates to table 4.894 * [progress]: [Phase 3 of 3] Extracting. 4.894 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.897 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.897 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 4.928 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 4.963 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 4.997 * * * [regime]: Found split indices: #