16.467 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.092 * * * [progress]: [2/2] Setting up program. 0.094 * [progress]: [Phase 2 of 3] Improving. 0.094 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.095 * [simplify]: Sending expressions to egg_math: (* (/ h0 (sqrt h1)) (pow (* (* h2 h3) h4) (/ (- h0 h1) h2))) 0.097 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.098 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.100 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.103 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.109 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.132 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.132 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.132 * * [progress]: iteration 1 / 4 0.132 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.170 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.176 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.241 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.241 * [taylor]: Taking taylor expansion of 0.5 in k 0.241 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.241 * [taylor]: Taking taylor expansion of 1.0 in k 0.241 * [taylor]: Taking taylor expansion of k in k 0.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.241 * [taylor]: Taking taylor expansion of 2.0 in k 0.241 * [taylor]: Taking taylor expansion of (* n PI) in k 0.241 * [taylor]: Taking taylor expansion of n in k 0.241 * [taylor]: Taking taylor expansion of PI in k 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.242 * [taylor]: Taking taylor expansion of 0.5 in n 0.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.242 * [taylor]: Taking taylor expansion of 1.0 in n 0.242 * [taylor]: Taking taylor expansion of k in n 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.242 * [taylor]: Taking taylor expansion of 2.0 in n 0.242 * [taylor]: Taking taylor expansion of (* n PI) in n 0.242 * [taylor]: Taking taylor expansion of n in n 0.242 * [taylor]: Taking taylor expansion of PI in n 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.248 * [taylor]: Taking taylor expansion of 0.5 in n 0.248 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.248 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (* n PI) in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.253 * [taylor]: Taking taylor expansion of 0.5 in k 0.253 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.253 * [taylor]: Taking taylor expansion of 1.0 in k 0.253 * [taylor]: Taking taylor expansion of k in k 0.253 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.253 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.253 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.253 * [taylor]: Taking taylor expansion of 2.0 in k 0.253 * [taylor]: Taking taylor expansion of PI in k 0.254 * [taylor]: Taking taylor expansion of (log n) in k 0.254 * [taylor]: Taking taylor expansion of n in k 0.267 * [taylor]: Taking taylor expansion of 0 in k 0.282 * [taylor]: Taking taylor expansion of 0 in k 0.301 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 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 0.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.301 * [taylor]: Taking taylor expansion of 2.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.301 * [taylor]: Taking taylor expansion of PI in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.303 * [taylor]: Taking taylor expansion of 0.5 in n 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.303 * [taylor]: Taking taylor expansion of 1.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.303 * [taylor]: Taking taylor expansion of k in n 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.306 * [taylor]: Taking taylor expansion of 0.5 in n 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.306 * [taylor]: Taking taylor expansion of 1.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.306 * [taylor]: Taking taylor expansion of k in n 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of 2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.310 * [taylor]: Taking taylor expansion of 0.5 in k 0.310 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.310 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.310 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.310 * [taylor]: Taking taylor expansion of 2.0 in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.311 * [taylor]: Taking taylor expansion of (log n) in k 0.311 * [taylor]: Taking taylor expansion of n in k 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.311 * [taylor]: Taking taylor expansion of 1.0 in k 0.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.311 * [taylor]: Taking taylor expansion of k in k 0.320 * [taylor]: Taking taylor expansion of 0 in k 0.327 * [taylor]: Taking taylor expansion of 0 in k 0.336 * [taylor]: Taking taylor expansion of 0 in k 0.338 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.338 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.338 * [taylor]: Taking taylor expansion of 0.5 in k 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.338 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.338 * [taylor]: Taking taylor expansion of k in k 0.338 * [taylor]: Taking taylor expansion of 1.0 in k 0.338 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.338 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.338 * [taylor]: Taking taylor expansion of -2.0 in k 0.338 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.338 * [taylor]: Taking taylor expansion of PI in k 0.338 * [taylor]: Taking taylor expansion of n in k 0.339 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.339 * [taylor]: Taking taylor expansion of 0.5 in n 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.339 * [taylor]: Taking taylor expansion of k in n 0.339 * [taylor]: Taking taylor expansion of 1.0 in n 0.339 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.339 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.339 * [taylor]: Taking taylor expansion of -2.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.339 * [taylor]: Taking taylor expansion of PI in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.343 * [taylor]: Taking taylor expansion of 0.5 in n 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.343 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.343 * [taylor]: Taking taylor expansion of k in n 0.343 * [taylor]: Taking taylor expansion of 1.0 in n 0.343 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.343 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.343 * [taylor]: Taking taylor expansion of -2.0 in n 0.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.343 * [taylor]: Taking taylor expansion of PI in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.346 * [taylor]: Taking taylor expansion of 0.5 in k 0.346 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.346 * [taylor]: Taking taylor expansion of k in k 0.347 * [taylor]: Taking taylor expansion of 1.0 in k 0.347 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.347 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.347 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.347 * [taylor]: Taking taylor expansion of -2.0 in k 0.347 * [taylor]: Taking taylor expansion of PI in k 0.348 * [taylor]: Taking taylor expansion of (log n) in k 0.348 * [taylor]: Taking taylor expansion of n in k 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.379 * [taylor]: Taking taylor expansion of 0 in k 0.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.380 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.392 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.392 * [taylor]: Taking taylor expansion of 1.0 in k 0.392 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.392 * [taylor]: Taking taylor expansion of k in k 0.393 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.393 * [taylor]: Taking taylor expansion of 1.0 in k 0.393 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.393 * [taylor]: Taking taylor expansion of k in k 0.402 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.402 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.402 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.402 * [taylor]: Taking taylor expansion of -1 in k 0.402 * [taylor]: Taking taylor expansion of k in k 0.404 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.404 * [taylor]: Taking taylor expansion of 1.0 in k 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.404 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.404 * [taylor]: Taking taylor expansion of -1 in k 0.404 * [taylor]: Taking taylor expansion of k in k 0.415 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.415 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.415 * [taylor]: Taking taylor expansion of 2.0 in n 0.415 * [taylor]: Taking taylor expansion of (* n PI) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.416 * [taylor]: Taking taylor expansion of (* n PI) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.428 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.428 * [taylor]: Taking taylor expansion of 2.0 in n 0.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.428 * [taylor]: Taking taylor expansion of PI in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.428 * [taylor]: Taking taylor expansion of 2.0 in n 0.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.428 * [taylor]: Taking taylor expansion of PI in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.437 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.437 * [taylor]: Taking taylor expansion of -2.0 in n 0.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.437 * [taylor]: Taking taylor expansion of PI in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.438 * [taylor]: Taking taylor expansion of -2.0 in n 0.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.453 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.454 * [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 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.454 * [taylor]: Taking taylor expansion of 2.0 in n 0.454 * [taylor]: Taking taylor expansion of (* n PI) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of PI in n 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.459 * [taylor]: Taking taylor expansion of k in k 0.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.461 * [taylor]: Taking taylor expansion of 0.5 in k 0.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.461 * [taylor]: Taking taylor expansion of 1.0 in k 0.461 * [taylor]: Taking taylor expansion of k in k 0.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.461 * [taylor]: Taking taylor expansion of 2.0 in k 0.461 * [taylor]: Taking taylor expansion of (* n PI) in k 0.461 * [taylor]: Taking taylor expansion of n in k 0.461 * [taylor]: Taking taylor expansion of PI in k 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.462 * [taylor]: Taking taylor expansion of 1.0 in k 0.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.463 * [taylor]: Taking taylor expansion of 0.5 in k 0.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.463 * [taylor]: Taking taylor expansion of 1.0 in k 0.463 * [taylor]: Taking taylor expansion of k in k 0.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.463 * [taylor]: Taking taylor expansion of 2.0 in k 0.463 * [taylor]: Taking taylor expansion of (* n PI) in k 0.463 * [taylor]: Taking taylor expansion of n in k 0.463 * [taylor]: Taking taylor expansion of PI in k 0.465 * [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 0.472 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.472 * [taylor]: Taking taylor expansion of 2.0 in n 0.491 * [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 0.491 * [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 0.491 * [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 0.491 * [taylor]: Taking taylor expansion of +nan.0 in n 0.491 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.491 * [taylor]: Taking taylor expansion of 0.5 in n 0.491 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.491 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.491 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [taylor]: Taking taylor expansion of (log PI) in n 0.491 * [taylor]: Taking taylor expansion of PI in n 0.493 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.493 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (log n) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.499 * [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 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of +nan.0 in n 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.499 * [taylor]: Taking taylor expansion of 0.5 in n 0.499 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.499 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.499 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.499 * [taylor]: Taking taylor expansion of 1.0 in n 0.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.499 * [taylor]: Taking taylor expansion of 2.0 in n 0.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log PI) in n 0.501 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log n) in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [taylor]: Taking taylor expansion of (* n PI) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.507 * [taylor]: Taking taylor expansion of PI in n 0.562 * [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 0.562 * [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 0.562 * [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 0.562 * [taylor]: Taking taylor expansion of +nan.0 in n 0.562 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.562 * [taylor]: Taking taylor expansion of 0.5 in n 0.562 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.562 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.562 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.562 * [taylor]: Taking taylor expansion of 2.0 in n 0.564 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.564 * [taylor]: Taking taylor expansion of 1.0 in n 0.564 * [taylor]: Taking taylor expansion of (log n) in n 0.564 * [taylor]: Taking taylor expansion of n in n 0.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [taylor]: Taking taylor expansion of (log PI) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.570 * [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 0.570 * [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 0.570 * [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 0.570 * [taylor]: Taking taylor expansion of +nan.0 in n 0.570 * [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 0.570 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.570 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.570 * [taylor]: Taking taylor expansion of 0.5 in n 0.570 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.570 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.570 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.570 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.570 * [taylor]: Taking taylor expansion of 1.0 in n 0.570 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.570 * [taylor]: Taking taylor expansion of 2.0 in n 0.572 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.572 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.572 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.572 * [taylor]: Taking taylor expansion of 1.0 in n 0.572 * [taylor]: Taking taylor expansion of (log PI) in n 0.572 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [taylor]: Taking taylor expansion of (log n) in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.578 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.578 * [taylor]: Taking taylor expansion of 2.0 in n 0.578 * [taylor]: Taking taylor expansion of (* n PI) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [taylor]: Taking taylor expansion of PI in n 0.581 * [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 0.581 * [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 0.581 * [taylor]: Taking taylor expansion of +nan.0 in n 0.581 * [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 0.581 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.581 * [taylor]: Taking taylor expansion of 0.5 in n 0.581 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.581 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.581 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.581 * [taylor]: Taking taylor expansion of 1.0 in n 0.581 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.581 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [taylor]: Taking taylor expansion of (log PI) in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [taylor]: Taking taylor expansion of (log n) in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.589 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.589 * [taylor]: Taking taylor expansion of 2.0 in n 0.589 * [taylor]: Taking taylor expansion of (* n PI) in n 0.589 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.667 * [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 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.667 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.668 * [taylor]: Taking taylor expansion of 0.5 in n 0.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.668 * [taylor]: Taking taylor expansion of 1.0 in n 0.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.668 * [taylor]: Taking taylor expansion of k in n 0.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.668 * [taylor]: Taking taylor expansion of 2.0 in n 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.668 * [taylor]: Taking taylor expansion of PI in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.672 * [taylor]: Taking taylor expansion of 1.0 in k 0.672 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.672 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.672 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.673 * [taylor]: Taking taylor expansion of 0.5 in k 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.673 * [taylor]: Taking taylor expansion of 2.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.673 * [taylor]: Taking taylor expansion of PI in k 0.673 * [taylor]: Taking taylor expansion of n in k 0.674 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.674 * [taylor]: Taking taylor expansion of 1.0 in k 0.674 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.674 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.674 * [taylor]: Taking taylor expansion of k in k 0.675 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.675 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.675 * [taylor]: Taking taylor expansion of 0.5 in k 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.676 * [taylor]: Taking taylor expansion of 2.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.676 * [taylor]: Taking taylor expansion of PI in k 0.676 * [taylor]: Taking taylor expansion of n in k 0.677 * [taylor]: Taking taylor expansion of 0 in n 0.678 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.678 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.678 * [taylor]: Taking taylor expansion of +nan.0 in n 0.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.678 * [taylor]: Taking taylor expansion of 0.5 in n 0.678 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.678 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.678 * [taylor]: Taking taylor expansion of 2.0 in n 0.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.678 * [taylor]: Taking taylor expansion of PI in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.679 * [taylor]: Taking taylor expansion of 1.0 in n 0.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.679 * [taylor]: Taking taylor expansion of 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 (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 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.689 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.689 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.704 * [taylor]: Taking taylor expansion of +nan.0 in n 0.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of 2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.714 * [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 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.714 * [taylor]: Taking taylor expansion of 0.5 in n 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.714 * [taylor]: Taking taylor expansion of k in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.714 * [taylor]: Taking taylor expansion of -2.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.714 * [taylor]: Taking taylor expansion of PI in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.718 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.718 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.718 * [taylor]: Taking taylor expansion of -1 in n 0.718 * [taylor]: Taking taylor expansion of k in n 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.719 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.719 * [taylor]: Taking taylor expansion of 0.5 in k 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.719 * [taylor]: Taking taylor expansion of -2.0 in k 0.720 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.720 * [taylor]: Taking taylor expansion of PI in k 0.720 * [taylor]: Taking taylor expansion of n in k 0.720 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.720 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.720 * [taylor]: Taking taylor expansion of -1 in k 0.720 * [taylor]: Taking taylor expansion of k in k 0.722 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.722 * [taylor]: Taking taylor expansion of 1.0 in k 0.722 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.722 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.722 * [taylor]: Taking taylor expansion of 0.5 in k 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.722 * [taylor]: Taking taylor expansion of k in k 0.722 * [taylor]: Taking taylor expansion of 1.0 in k 0.722 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.722 * [taylor]: Taking taylor expansion of -2.0 in k 0.722 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.722 * [taylor]: Taking taylor expansion of PI in k 0.722 * [taylor]: Taking taylor expansion of n in k 0.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.723 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.723 * [taylor]: Taking taylor expansion of -1 in k 0.723 * [taylor]: Taking taylor expansion of k in k 0.725 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.725 * [taylor]: Taking taylor expansion of +nan.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 in n 0.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) 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 0.739 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.739 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.739 * [taylor]: Taking taylor expansion of +nan.0 in n 0.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.739 * [taylor]: Taking taylor expansion of 0.5 in n 0.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.739 * [taylor]: Taking taylor expansion of k in n 0.739 * [taylor]: Taking taylor expansion of 1.0 in n 0.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.739 * [taylor]: Taking taylor expansion of -2.0 in n 0.739 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.739 * [taylor]: Taking taylor expansion of PI in n 0.739 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.756 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.756 * [taylor]: Taking taylor expansion of +nan.0 in n 0.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.756 * [taylor]: Taking taylor expansion of 0.5 in n 0.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.757 * [taylor]: Taking taylor expansion of k in n 0.757 * [taylor]: Taking taylor expansion of 1.0 in n 0.757 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.757 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.757 * [taylor]: Taking taylor expansion of -2.0 in n 0.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.757 * [taylor]: Taking taylor expansion of PI in n 0.757 * [taylor]: Taking taylor expansion of n in n 0.766 * * * [progress]: simplifying candidates 0.768 * [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 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) (* (* 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 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.769 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0)) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ h3 h0)) (pow (* (* h0 h1) h2) (/ h4 h0)) (pow (* (* h0 h1) h2) (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0)))) (pow (* (* h0 h1) h2) (sqrt (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (- h3 h4)) (pow (* h0 h1) (/ (- h3 h4) h0)) (pow h2 (/ (- h3 h4) h0)) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (exp (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (- (log h3) (log (sqrt h4))) (log (/ h3 (sqrt h4))) (exp (/ h3 (sqrt h4))) (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (cbrt (/ h3 (sqrt h4))) (cbrt (/ h3 (sqrt h4)))) (cbrt (/ h3 (sqrt h4))) (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (- h3) (- (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (cbrt h3) (cbrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (cbrt h3) (sqrt (cbrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt 1)) (/ (cbrt h3) (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) 1) (/ (cbrt h3) (sqrt h4)) (/ (sqrt h3) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (sqrt h3) (cbrt (sqrt h4))) (/ (sqrt h3) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (sqrt h3) (sqrt (cbrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt 1)) (/ (sqrt h3) (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) 1) (/ (sqrt h3) (sqrt h4)) (/ 1 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (cbrt (sqrt h4))) (/ 1 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (cbrt h4))) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt 1)) (/ h3 (sqrt h4)) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 1) (/ h3 (sqrt h4)) (/ 1 (sqrt h4)) (/ (sqrt h4) h3) (/ h3 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (sqrt h4))) (/ h3 (sqrt 1)) (/ h3 (sqrt (sqrt h4))) (/ h3 1) (/ (sqrt h4) (cbrt h3)) (/ (sqrt h4) (sqrt h3)) (/ (sqrt h4) h3) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (+ (- (log h3) (log (sqrt h4))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (- (log h3) (log (sqrt h4))) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (+ (log (/ h3 (sqrt h4))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0))) (+ (log (/ h3 (sqrt h4))) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (log (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (exp (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))))) (cbrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (* (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (sqrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (sqrt (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* h3 (pow (* (* h0 h1) h2) (/ h3 h0))) (* (sqrt h4) (pow (* (* h0 h1) h2) (/ h4 h0))) (* (sqrt (/ h3 (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (sqrt (/ h3 (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (/ h3 (sqrt h4)) (pow (* h0 h1) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))))) (* (/ h3 (sqrt h4)) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (* (/ h3 (sqrt h4)) 1) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (sqrt (/ h3 (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (cbrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ (sqrt h3) (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (cbrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (cbrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt (sqrt h4))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ 1 (sqrt h4)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (/ h3 (sqrt h4)) (pow (* (* h0 h1) h2) (/ h3 h0))) (* h3 (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (- (+ (* h9 (* (* (pow h4 2) (pow (log (* h0 h1)) 2)) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log (* h0 h1))) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (* (log (* h0 h1)) (log h2))) (pow (* (pow h1 h3) (* (pow h0 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log (* h0 h1))) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (pow (log h2) 2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)) (- (+ (* h9 (* (pow h4 2) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (* h9 (* h4 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 3))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) h4)) (- (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 2)))))))) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) h4)) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (pow h4 2))) (- (* h9 (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))))))))) 0.778 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.794 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.858 * * [simplify]: iteration 2 : 5002 enodes (cost 1344 ) 0.864 * [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 (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) (* (* 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)) (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)))))) (+ (- (* +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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +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)))) 0.865 * * * [progress]: adding candidates to table 1.291 * * [progress]: iteration 2 / 4 1.291 * * * [progress]: picking best candidate 1.330 * * * * [pick]: Picked # 1.330 * * * [progress]: localizing error 1.348 * * * [progress]: generating rewritten candidates 1.348 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.408 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.466 * * * [progress]: generating series expansions 1.466 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.467 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.467 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.467 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.467 * [taylor]: Taking taylor expansion of 0.25 in k 1.467 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.467 * [taylor]: Taking taylor expansion of 1.0 in k 1.467 * [taylor]: Taking taylor expansion of k in k 1.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.467 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.468 * [taylor]: Taking taylor expansion of 2.0 in k 1.468 * [taylor]: Taking taylor expansion of (* n PI) in k 1.468 * [taylor]: Taking taylor expansion of n in k 1.468 * [taylor]: Taking taylor expansion of PI in k 1.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.469 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.469 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.469 * [taylor]: Taking taylor expansion of 0.25 in n 1.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.469 * [taylor]: Taking taylor expansion of 1.0 in n 1.469 * [taylor]: Taking taylor expansion of k in n 1.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.469 * [taylor]: Taking taylor expansion of 2.0 in n 1.469 * [taylor]: Taking taylor expansion of (* n PI) in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.476 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.476 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.476 * [taylor]: Taking taylor expansion of 0.25 in n 1.476 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.476 * [taylor]: Taking taylor expansion of 1.0 in n 1.476 * [taylor]: Taking taylor expansion of k in n 1.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.476 * [taylor]: Taking taylor expansion of 2.0 in n 1.476 * [taylor]: Taking taylor expansion of (* n PI) in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.481 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.481 * [taylor]: Taking taylor expansion of 0.25 in k 1.481 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.481 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.481 * [taylor]: Taking taylor expansion of 1.0 in k 1.481 * [taylor]: Taking taylor expansion of k in k 1.481 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.481 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.481 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.481 * [taylor]: Taking taylor expansion of 2.0 in k 1.481 * [taylor]: Taking taylor expansion of PI in k 1.482 * [taylor]: Taking taylor expansion of (log n) in k 1.482 * [taylor]: Taking taylor expansion of n in k 1.491 * [taylor]: Taking taylor expansion of 0 in k 1.506 * [taylor]: Taking taylor expansion of 0 in k 1.525 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.525 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.525 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.525 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.525 * [taylor]: Taking taylor expansion of 0.25 in k 1.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.525 * [taylor]: Taking taylor expansion of 1.0 in k 1.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.525 * [taylor]: Taking taylor expansion of k in k 1.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.525 * [taylor]: Taking taylor expansion of 2.0 in k 1.525 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.525 * [taylor]: Taking taylor expansion of PI in k 1.525 * [taylor]: Taking taylor expansion of n in k 1.526 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.526 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.526 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.526 * [taylor]: Taking taylor expansion of 0.25 in n 1.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.526 * [taylor]: Taking taylor expansion of 1.0 in n 1.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.526 * [taylor]: Taking taylor expansion of k in n 1.526 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.526 * [taylor]: Taking taylor expansion of 2.0 in n 1.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.527 * [taylor]: Taking taylor expansion of PI in n 1.527 * [taylor]: Taking taylor expansion of n in n 1.530 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.530 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.530 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.530 * [taylor]: Taking taylor expansion of 0.25 in n 1.530 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.530 * [taylor]: Taking taylor expansion of 1.0 in n 1.530 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.530 * [taylor]: Taking taylor expansion of k in n 1.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.530 * [taylor]: Taking taylor expansion of 2.0 in n 1.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.530 * [taylor]: Taking taylor expansion of PI in n 1.530 * [taylor]: Taking taylor expansion of n in n 1.541 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.541 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.541 * [taylor]: Taking taylor expansion of 0.25 in k 1.541 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.541 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.542 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.542 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.542 * [taylor]: Taking taylor expansion of 2.0 in k 1.542 * [taylor]: Taking taylor expansion of PI in k 1.542 * [taylor]: Taking taylor expansion of (log n) in k 1.542 * [taylor]: Taking taylor expansion of n in k 1.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.543 * [taylor]: Taking taylor expansion of 1.0 in k 1.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.543 * [taylor]: Taking taylor expansion of k in k 1.552 * [taylor]: Taking taylor expansion of 0 in k 1.559 * [taylor]: Taking taylor expansion of 0 in k 1.568 * [taylor]: Taking taylor expansion of 0 in k 1.569 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.570 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.570 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.570 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.570 * [taylor]: Taking taylor expansion of 0.25 in k 1.570 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.570 * [taylor]: Taking taylor expansion of k in k 1.570 * [taylor]: Taking taylor expansion of 1.0 in k 1.570 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.570 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.570 * [taylor]: Taking taylor expansion of -2.0 in k 1.570 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.570 * [taylor]: Taking taylor expansion of PI in k 1.570 * [taylor]: Taking taylor expansion of n in k 1.571 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.571 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.571 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.571 * [taylor]: Taking taylor expansion of 0.25 in n 1.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.571 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.571 * [taylor]: Taking taylor expansion of k in n 1.571 * [taylor]: Taking taylor expansion of 1.0 in n 1.571 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.571 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.571 * [taylor]: Taking taylor expansion of -2.0 in n 1.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.571 * [taylor]: Taking taylor expansion of PI in n 1.571 * [taylor]: Taking taylor expansion of n in n 1.575 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.575 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.575 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.575 * [taylor]: Taking taylor expansion of 0.25 in n 1.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.575 * [taylor]: Taking taylor expansion of k in n 1.575 * [taylor]: Taking taylor expansion of 1.0 in n 1.575 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.575 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.575 * [taylor]: Taking taylor expansion of -2.0 in n 1.575 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.575 * [taylor]: Taking taylor expansion of PI in n 1.575 * [taylor]: Taking taylor expansion of n in n 1.578 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.578 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.578 * [taylor]: Taking taylor expansion of 0.25 in k 1.578 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.578 * [taylor]: Taking taylor expansion of k in k 1.579 * [taylor]: Taking taylor expansion of 1.0 in k 1.579 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.579 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.579 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.579 * [taylor]: Taking taylor expansion of -2.0 in k 1.579 * [taylor]: Taking taylor expansion of PI in k 1.580 * [taylor]: Taking taylor expansion of (log n) in k 1.580 * [taylor]: Taking taylor expansion of n in k 1.588 * [taylor]: Taking taylor expansion of 0 in k 1.595 * [taylor]: Taking taylor expansion of 0 in k 1.603 * [taylor]: Taking taylor expansion of 0 in k 1.604 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.605 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.605 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.605 * [taylor]: Taking taylor expansion of 0.25 in k 1.605 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.605 * [taylor]: Taking taylor expansion of 2.0 in k 1.605 * [taylor]: Taking taylor expansion of (* n PI) in k 1.605 * [taylor]: Taking taylor expansion of n in k 1.605 * [taylor]: Taking taylor expansion of PI in k 1.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.606 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.606 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.606 * [taylor]: Taking taylor expansion of 0.25 in n 1.606 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.606 * [taylor]: Taking taylor expansion of 1.0 in n 1.606 * [taylor]: Taking taylor expansion of k in n 1.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.606 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.606 * [taylor]: Taking taylor expansion of 2.0 in n 1.606 * [taylor]: Taking taylor expansion of (* n PI) in n 1.606 * [taylor]: Taking taylor expansion of n in n 1.606 * [taylor]: Taking taylor expansion of PI in n 1.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.611 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.611 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.611 * [taylor]: Taking taylor expansion of 0.25 in n 1.611 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.611 * [taylor]: Taking taylor expansion of 1.0 in n 1.611 * [taylor]: Taking taylor expansion of k in n 1.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.611 * [taylor]: Taking taylor expansion of 2.0 in n 1.611 * [taylor]: Taking taylor expansion of (* n PI) in n 1.611 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.616 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.616 * [taylor]: Taking taylor expansion of 0.25 in k 1.616 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.616 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.617 * [taylor]: Taking taylor expansion of 2.0 in k 1.617 * [taylor]: Taking taylor expansion of PI in k 1.617 * [taylor]: Taking taylor expansion of (log n) in k 1.618 * [taylor]: Taking taylor expansion of n in k 1.626 * [taylor]: Taking taylor expansion of 0 in k 1.648 * [taylor]: Taking taylor expansion of 0 in k 1.666 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.666 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.667 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.667 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.667 * [taylor]: Taking taylor expansion of 0.25 in k 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.667 * [taylor]: Taking taylor expansion of 1.0 in k 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.667 * [taylor]: Taking taylor expansion of k in k 1.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.667 * [taylor]: Taking taylor expansion of 2.0 in k 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.667 * [taylor]: Taking taylor expansion of PI in k 1.667 * [taylor]: Taking taylor expansion of n in k 1.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.668 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.668 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.668 * [taylor]: Taking taylor expansion of 0.25 in n 1.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.668 * [taylor]: Taking taylor expansion of 1.0 in n 1.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.668 * [taylor]: Taking taylor expansion of k in n 1.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.668 * [taylor]: Taking taylor expansion of 2.0 in n 1.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.668 * [taylor]: Taking taylor expansion of PI in n 1.668 * [taylor]: Taking taylor expansion of n in n 1.672 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.672 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.672 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.672 * [taylor]: Taking taylor expansion of 0.25 in n 1.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.672 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.672 * [taylor]: Taking taylor expansion of k in n 1.672 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.672 * [taylor]: Taking taylor expansion of 2.0 in n 1.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.672 * [taylor]: Taking taylor expansion of PI in n 1.672 * [taylor]: Taking taylor expansion of n in n 1.675 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.675 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.675 * [taylor]: Taking taylor expansion of 0.25 in k 1.675 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.675 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.675 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.675 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.675 * [taylor]: Taking taylor expansion of 2.0 in k 1.675 * [taylor]: Taking taylor expansion of PI in k 1.676 * [taylor]: Taking taylor expansion of (log n) in k 1.676 * [taylor]: Taking taylor expansion of n in k 1.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.676 * [taylor]: Taking taylor expansion of 1.0 in k 1.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.677 * [taylor]: Taking taylor expansion of k in k 1.686 * [taylor]: Taking taylor expansion of 0 in k 1.692 * [taylor]: Taking taylor expansion of 0 in k 1.701 * [taylor]: Taking taylor expansion of 0 in k 1.702 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.702 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.703 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.703 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.703 * [taylor]: Taking taylor expansion of 0.25 in k 1.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.703 * [taylor]: Taking taylor expansion of k in k 1.703 * [taylor]: Taking taylor expansion of 1.0 in k 1.703 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.703 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.703 * [taylor]: Taking taylor expansion of -2.0 in k 1.703 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.703 * [taylor]: Taking taylor expansion of PI in k 1.703 * [taylor]: Taking taylor expansion of n in k 1.704 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.704 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.704 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.704 * [taylor]: Taking taylor expansion of 0.25 in n 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.704 * [taylor]: Taking taylor expansion of k in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.704 * [taylor]: Taking taylor expansion of -2.0 in n 1.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.704 * [taylor]: Taking taylor expansion of PI in n 1.704 * [taylor]: Taking taylor expansion of n in n 1.708 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.708 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.708 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.708 * [taylor]: Taking taylor expansion of 0.25 in n 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.708 * [taylor]: Taking taylor expansion of k in n 1.708 * [taylor]: Taking taylor expansion of 1.0 in n 1.708 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.708 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.708 * [taylor]: Taking taylor expansion of -2.0 in n 1.708 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.708 * [taylor]: Taking taylor expansion of PI in n 1.708 * [taylor]: Taking taylor expansion of n in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.711 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.711 * [taylor]: Taking taylor expansion of 0.25 in k 1.711 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.712 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.712 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.712 * [taylor]: Taking taylor expansion of -2.0 in k 1.712 * [taylor]: Taking taylor expansion of PI in k 1.713 * [taylor]: Taking taylor expansion of (log n) in k 1.713 * [taylor]: Taking taylor expansion of n in k 1.728 * [taylor]: Taking taylor expansion of 0 in k 1.735 * [taylor]: Taking taylor expansion of 0 in k 1.743 * [taylor]: Taking taylor expansion of 0 in k 1.744 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.744 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.744 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.746 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.746 * [taylor]: Taking taylor expansion of k in k 1.756 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.756 * [taylor]: Taking taylor expansion of 1.0 in k 1.756 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.756 * [taylor]: Taking taylor expansion of k in k 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.757 * [taylor]: Taking taylor expansion of 1.0 in k 1.757 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.757 * [taylor]: Taking taylor expansion of k in k 1.767 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.767 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.767 * [taylor]: Taking taylor expansion of 1.0 in k 1.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.767 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.767 * [taylor]: Taking taylor expansion of -1 in k 1.767 * [taylor]: Taking taylor expansion of k in k 1.769 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.769 * [taylor]: Taking taylor expansion of -1 in k 1.769 * [taylor]: Taking taylor expansion of k in k 1.780 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.781 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.781 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.781 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.781 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.781 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.781 * [taylor]: Taking taylor expansion of 0.25 in k 1.781 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.781 * [taylor]: Taking taylor expansion of 1.0 in k 1.781 * [taylor]: Taking taylor expansion of k in k 1.781 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.781 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.781 * [taylor]: Taking taylor expansion of 2.0 in k 1.781 * [taylor]: Taking taylor expansion of (* n PI) in k 1.781 * [taylor]: Taking taylor expansion of n in k 1.781 * [taylor]: Taking taylor expansion of PI in k 1.782 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.782 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.782 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.782 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.782 * [taylor]: Taking taylor expansion of 0.25 in n 1.782 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of k in n 1.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.782 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.782 * [taylor]: Taking taylor expansion of 2.0 in n 1.782 * [taylor]: Taking taylor expansion of (* n PI) in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.788 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.788 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.788 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.788 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.788 * [taylor]: Taking taylor expansion of 0.25 in n 1.788 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.788 * [taylor]: Taking taylor expansion of 1.0 in n 1.788 * [taylor]: Taking taylor expansion of k in n 1.788 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.788 * [taylor]: Taking taylor expansion of 2.0 in n 1.788 * [taylor]: Taking taylor expansion of (* n PI) in n 1.788 * [taylor]: Taking taylor expansion of n in n 1.788 * [taylor]: Taking taylor expansion of PI in n 1.794 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.794 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.794 * [taylor]: Taking taylor expansion of 0.25 in k 1.794 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.794 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.794 * [taylor]: Taking taylor expansion of 1.0 in k 1.794 * [taylor]: Taking taylor expansion of k in k 1.794 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.794 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.794 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.794 * [taylor]: Taking taylor expansion of 2.0 in k 1.794 * [taylor]: Taking taylor expansion of PI in k 1.795 * [taylor]: Taking taylor expansion of (log n) in k 1.795 * [taylor]: Taking taylor expansion of n in k 1.807 * [taylor]: Taking taylor expansion of 0 in k 1.836 * [taylor]: Taking taylor expansion of 0 in k 1.868 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 1.869 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 1.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.869 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.869 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.869 * [taylor]: Taking taylor expansion of 0.25 in k 1.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.869 * [taylor]: Taking taylor expansion of 1.0 in k 1.869 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.869 * [taylor]: Taking taylor expansion of k in k 1.869 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.869 * [taylor]: Taking taylor expansion of 2.0 in k 1.869 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.869 * [taylor]: Taking taylor expansion of PI in k 1.869 * [taylor]: Taking taylor expansion of n in k 1.870 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.870 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.870 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.870 * [taylor]: Taking taylor expansion of 0.25 in n 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.870 * [taylor]: Taking taylor expansion of 1.0 in n 1.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.870 * [taylor]: Taking taylor expansion of k in n 1.870 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.870 * [taylor]: Taking taylor expansion of 2.0 in n 1.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.870 * [taylor]: Taking taylor expansion of PI in n 1.870 * [taylor]: Taking taylor expansion of n in n 1.874 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.874 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.874 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.874 * [taylor]: Taking taylor expansion of 0.25 in n 1.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.874 * [taylor]: Taking taylor expansion of 1.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.874 * [taylor]: Taking taylor expansion of k in n 1.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.874 * [taylor]: Taking taylor expansion of 2.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.879 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 1.879 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.879 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.879 * [taylor]: Taking taylor expansion of 0.25 in k 1.879 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.879 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.879 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.879 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.879 * [taylor]: Taking taylor expansion of 2.0 in k 1.879 * [taylor]: Taking taylor expansion of PI in k 1.880 * [taylor]: Taking taylor expansion of (log n) in k 1.880 * [taylor]: Taking taylor expansion of n in k 1.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.880 * [taylor]: Taking taylor expansion of 1.0 in k 1.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.880 * [taylor]: Taking taylor expansion of k in k 1.892 * [taylor]: Taking taylor expansion of 0 in k 1.902 * [taylor]: Taking taylor expansion of 0 in k 1.921 * [taylor]: Taking taylor expansion of 0 in k 1.923 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 1.923 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 1.923 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.923 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.923 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.923 * [taylor]: Taking taylor expansion of 0.25 in k 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.924 * [taylor]: Taking taylor expansion of k in k 1.924 * [taylor]: Taking taylor expansion of 1.0 in k 1.924 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.924 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.924 * [taylor]: Taking taylor expansion of -2.0 in k 1.924 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.924 * [taylor]: Taking taylor expansion of PI in k 1.924 * [taylor]: Taking taylor expansion of n in k 1.925 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.925 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.925 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.925 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.925 * [taylor]: Taking taylor expansion of 0.25 in n 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.925 * [taylor]: Taking taylor expansion of k in n 1.925 * [taylor]: Taking taylor expansion of 1.0 in n 1.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.925 * [taylor]: Taking taylor expansion of -2.0 in n 1.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.925 * [taylor]: Taking taylor expansion of PI in n 1.925 * [taylor]: Taking taylor expansion of n in n 1.929 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.929 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.929 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.929 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.929 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.929 * [taylor]: Taking taylor expansion of 0.25 in n 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.929 * [taylor]: Taking taylor expansion of k in n 1.929 * [taylor]: Taking taylor expansion of 1.0 in n 1.929 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.929 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.929 * [taylor]: Taking taylor expansion of -2.0 in n 1.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.929 * [taylor]: Taking taylor expansion of PI in n 1.929 * [taylor]: Taking taylor expansion of n in n 1.934 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 1.934 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.934 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.934 * [taylor]: Taking taylor expansion of 0.25 in k 1.934 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.934 * [taylor]: Taking taylor expansion of k in k 1.934 * [taylor]: Taking taylor expansion of 1.0 in k 1.934 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.934 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.934 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.934 * [taylor]: Taking taylor expansion of -2.0 in k 1.934 * [taylor]: Taking taylor expansion of PI in k 1.935 * [taylor]: Taking taylor expansion of (log n) in k 1.935 * [taylor]: Taking taylor expansion of n in k 1.946 * [taylor]: Taking taylor expansion of 0 in k 1.956 * [taylor]: Taking taylor expansion of 0 in k 1.968 * [taylor]: Taking taylor expansion of 0 in k 1.969 * * * [progress]: simplifying candidates 1.973 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (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) (+ (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2)) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1 1) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* 2 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +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))))) (- (+ (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.5 (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) 1.975 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* 1 (/ (/ (- h3 h4) h0) 2)) (* 1 (/ (/ (- h3 h4) h0) 2)) (* 1 (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h4 h0) 2)) (pow (* (* h0 h1) h2) (* (cbrt (/ (/ (- h3 h4) h0) 2)) (cbrt (/ (/ (- h3 h4) h0) 2)))) (pow (* (* h0 h1) h2) (sqrt (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (/ (- h3 h4) h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (sqrt (/ (- h3 h4) h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (sqrt (/ (- h3 h4) h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1) 1)) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) 1) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 1) 1)) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) 1) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 1) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt 2))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (- h3 h4) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (- h3 h4) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (- h3 h4) 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2)) (pow h2 (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (exp (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* 1 (/ (/ (- h3 h4) h0) 2)) (* 1 (/ (/ (- h3 h4) h0) 2)) (* 1 (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h4 h0) 2)) (pow (* (* h0 h1) h2) (* (cbrt (/ (/ (- h3 h4) h0) 2)) (cbrt (/ (/ (- h3 h4) h0) 2)))) (pow (* (* h0 h1) h2) (sqrt (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (/ (- h3 h4) h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (sqrt (/ (- h3 h4) h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (sqrt (/ (- h3 h4) h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1) 1)) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (sqrt (- h3 h4)) 1) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 1) 1)) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ (+ (sqrt h3) (sqrt h4)) 1) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (* (cbrt h0) (cbrt h0))) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 (sqrt h0)) 1)) (pow (* (* h0 h1) h2) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (/ 1 1) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (/ 1 1) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt 2))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (- h3 h4) (* (cbrt 2) (cbrt 2)))) (pow (* (* h0 h1) h2) (/ (- h3 h4) (sqrt 2))) (pow (* (* h0 h1) h2) (/ (- h3 h4) 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2)) (pow h2 (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (exp (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (- (log h3) (log (sqrt h4))) (log (/ h3 (sqrt h4))) (exp (/ h3 (sqrt h4))) (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (cbrt (/ h3 (sqrt h4))) (cbrt (/ h3 (sqrt h4)))) (cbrt (/ h3 (sqrt h4))) (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (- h3) (- (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (cbrt h3) (cbrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (cbrt h3) (sqrt (cbrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt 1)) (/ (cbrt h3) (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) 1) (/ (cbrt h3) (sqrt h4)) (/ (sqrt h3) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (sqrt h3) (cbrt (sqrt h4))) (/ (sqrt h3) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (sqrt h3) (sqrt (cbrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt 1)) (/ (sqrt h3) (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) 1) (/ (sqrt h3) (sqrt h4)) (/ 1 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (cbrt (sqrt h4))) (/ 1 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (cbrt h4))) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt 1)) (/ h3 (sqrt h4)) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 1) (/ h3 (sqrt h4)) (/ 1 (sqrt h4)) (/ (sqrt h4) h3) (/ h3 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (sqrt h4))) (/ h3 (sqrt 1)) (/ h3 (sqrt (sqrt h4))) (/ h3 1) (/ (sqrt h4) (cbrt h3)) (/ (sqrt h4) (sqrt h3)) (/ (sqrt h4) h3) (+ (/ (/ (- h3 h4) h0) 2) (/ (/ (- h3 h4) h0) 2)) (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2)) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (+ (log (* h0 h1)) (log h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (log (* (* h0 h1) h2)) (/ (/ (- h3 h4) h0) 2))) (+ (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (log (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (log (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (exp (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (cbrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (cbrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))))) (cbrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (* (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (sqrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (sqrt (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ h4 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h4 h0) 2))) (* (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2)) (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2))) (* (pow h2 (/ (/ (- h3 h4) h0) 2)) (pow h2 (/ (/ (- h3 h4) h0) 2))) (* (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* 1 1) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* 2 (/ (/ (- h3 h4) h0) 2)) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* h0 h1) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) 1) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2))) (* (pow h2 (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (cbrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (sqrt (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (/ (- h3 h4) h0) 2) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2))) (* (pow (* (* h0 h1) h2) (/ (/ h3 h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (- (+ (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (+ (* h6 (* (pow h4 2) (* (log (* h0 h1)) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2))))) (+ (* h10 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h10 (* (pow h4 2) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (pow (log h2) 2))))))) (+ (* h11 (* h4 (* (log (* h0 h1)) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h11 (* h4 (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2)))))) (pow (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) 2) (pow (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) 2) 1.987 * * [simplify]: iteration 0 : 971 enodes (cost 2554 ) 2.002 * * [simplify]: iteration 1 : 3864 enodes (cost 2347 ) 2.059 * * [simplify]: iteration 2 : 5001 enodes (cost 2312 ) 2.070 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) 2) (* (/ (- 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) (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) (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) (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))) (pow (exp 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (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)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 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))) (+ (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (- (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.25) 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) 2.071 * * * [progress]: adding candidates to table 2.889 * * [progress]: iteration 3 / 4 2.890 * * * [progress]: picking best candidate 2.932 * * * * [pick]: Picked # 2.932 * * * [progress]: localizing error 2.949 * * * [progress]: generating rewritten candidates 2.949 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.967 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.977 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.988 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.009 * * * [progress]: generating series expansions 3.009 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.010 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.010 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.010 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.010 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.010 * [taylor]: Taking taylor expansion of 0.25 in k 3.010 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.010 * [taylor]: Taking taylor expansion of 1.0 in k 3.010 * [taylor]: Taking taylor expansion of k in k 3.010 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.010 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.010 * [taylor]: Taking taylor expansion of 2.0 in k 3.010 * [taylor]: Taking taylor expansion of (* n PI) in k 3.010 * [taylor]: Taking taylor expansion of n in k 3.010 * [taylor]: Taking taylor expansion of PI in k 3.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.011 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.011 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.011 * [taylor]: Taking taylor expansion of 0.25 in n 3.011 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.011 * [taylor]: Taking taylor expansion of 1.0 in n 3.011 * [taylor]: Taking taylor expansion of k in n 3.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.011 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.011 * [taylor]: Taking taylor expansion of 2.0 in n 3.011 * [taylor]: Taking taylor expansion of (* n PI) in n 3.011 * [taylor]: Taking taylor expansion of n in n 3.011 * [taylor]: Taking taylor expansion of PI in n 3.016 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.016 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.016 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.016 * [taylor]: Taking taylor expansion of 0.25 in n 3.016 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.016 * [taylor]: Taking taylor expansion of 1.0 in n 3.016 * [taylor]: Taking taylor expansion of k in n 3.016 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.016 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.016 * [taylor]: Taking taylor expansion of 2.0 in n 3.016 * [taylor]: Taking taylor expansion of (* n PI) in n 3.016 * [taylor]: Taking taylor expansion of n in n 3.016 * [taylor]: Taking taylor expansion of PI in n 3.021 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.021 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.021 * [taylor]: Taking taylor expansion of 0.25 in k 3.021 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.021 * [taylor]: Taking taylor expansion of 1.0 in k 3.021 * [taylor]: Taking taylor expansion of k in k 3.022 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.022 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.022 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.022 * [taylor]: Taking taylor expansion of 2.0 in k 3.022 * [taylor]: Taking taylor expansion of PI in k 3.022 * [taylor]: Taking taylor expansion of (log n) in k 3.022 * [taylor]: Taking taylor expansion of n in k 3.031 * [taylor]: Taking taylor expansion of 0 in k 3.046 * [taylor]: Taking taylor expansion of 0 in k 3.070 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.070 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.070 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.070 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.070 * [taylor]: Taking taylor expansion of 0.25 in k 3.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.070 * [taylor]: Taking taylor expansion of 1.0 in k 3.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.070 * [taylor]: Taking taylor expansion of k in k 3.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.071 * [taylor]: Taking taylor expansion of 2.0 in k 3.071 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.071 * [taylor]: Taking taylor expansion of PI in k 3.071 * [taylor]: Taking taylor expansion of n in k 3.072 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.072 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.072 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.072 * [taylor]: Taking taylor expansion of 0.25 in n 3.072 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.072 * [taylor]: Taking taylor expansion of 1.0 in n 3.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.072 * [taylor]: Taking taylor expansion of k in n 3.072 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.072 * [taylor]: Taking taylor expansion of 2.0 in n 3.072 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.072 * [taylor]: Taking taylor expansion of PI in n 3.072 * [taylor]: Taking taylor expansion of n in n 3.075 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.076 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.076 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.076 * [taylor]: Taking taylor expansion of 0.25 in n 3.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.076 * [taylor]: Taking taylor expansion of 1.0 in n 3.076 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.076 * [taylor]: Taking taylor expansion of k in n 3.076 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.076 * [taylor]: Taking taylor expansion of 2.0 in n 3.076 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.076 * [taylor]: Taking taylor expansion of PI in n 3.076 * [taylor]: Taking taylor expansion of n in n 3.079 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.079 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.079 * [taylor]: Taking taylor expansion of 0.25 in k 3.079 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.079 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.079 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.079 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.079 * [taylor]: Taking taylor expansion of 2.0 in k 3.079 * [taylor]: Taking taylor expansion of PI in k 3.080 * [taylor]: Taking taylor expansion of (log n) in k 3.080 * [taylor]: Taking taylor expansion of n in k 3.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.080 * [taylor]: Taking taylor expansion of 1.0 in k 3.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.080 * [taylor]: Taking taylor expansion of k in k 3.089 * [taylor]: Taking taylor expansion of 0 in k 3.097 * [taylor]: Taking taylor expansion of 0 in k 3.105 * [taylor]: Taking taylor expansion of 0 in k 3.107 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.107 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.107 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.107 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.107 * [taylor]: Taking taylor expansion of 0.25 in k 3.107 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.107 * [taylor]: Taking taylor expansion of k in k 3.107 * [taylor]: Taking taylor expansion of 1.0 in k 3.107 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.107 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.107 * [taylor]: Taking taylor expansion of -2.0 in k 3.107 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.107 * [taylor]: Taking taylor expansion of PI in k 3.107 * [taylor]: Taking taylor expansion of n in k 3.108 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.108 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.108 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.108 * [taylor]: Taking taylor expansion of 0.25 in n 3.108 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.108 * [taylor]: Taking taylor expansion of k in n 3.108 * [taylor]: Taking taylor expansion of 1.0 in n 3.108 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.108 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.108 * [taylor]: Taking taylor expansion of -2.0 in n 3.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.108 * [taylor]: Taking taylor expansion of PI in n 3.108 * [taylor]: Taking taylor expansion of n in n 3.112 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.112 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.112 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.112 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.112 * [taylor]: Taking taylor expansion of 0.25 in n 3.112 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.112 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.112 * [taylor]: Taking taylor expansion of k in n 3.112 * [taylor]: Taking taylor expansion of 1.0 in n 3.112 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.112 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.112 * [taylor]: Taking taylor expansion of -2.0 in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.115 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.115 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.115 * [taylor]: Taking taylor expansion of 0.25 in k 3.115 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.115 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.115 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.116 * [taylor]: Taking taylor expansion of k in k 3.116 * [taylor]: Taking taylor expansion of 1.0 in k 3.116 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.116 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.116 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.116 * [taylor]: Taking taylor expansion of -2.0 in k 3.116 * [taylor]: Taking taylor expansion of PI in k 3.117 * [taylor]: Taking taylor expansion of (log n) in k 3.117 * [taylor]: Taking taylor expansion of n in k 3.125 * [taylor]: Taking taylor expansion of 0 in k 3.132 * [taylor]: Taking taylor expansion of 0 in k 3.148 * [taylor]: Taking taylor expansion of 0 in k 3.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.149 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.149 * [taylor]: Taking taylor expansion of k in k 3.150 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.150 * [taylor]: Taking taylor expansion of 1.0 in k 3.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.150 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.150 * [taylor]: Taking taylor expansion of k in k 3.161 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.161 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.161 * [taylor]: Taking taylor expansion of 1.0 in k 3.161 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.161 * [taylor]: Taking taylor expansion of k in k 3.162 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.162 * [taylor]: Taking taylor expansion of 1.0 in k 3.162 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.162 * [taylor]: Taking taylor expansion of k in k 3.171 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.171 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.171 * [taylor]: Taking taylor expansion of 1.0 in k 3.171 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.171 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.171 * [taylor]: Taking taylor expansion of -1 in k 3.171 * [taylor]: Taking taylor expansion of k in k 3.173 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.173 * [taylor]: Taking taylor expansion of 1.0 in k 3.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.173 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.173 * [taylor]: Taking taylor expansion of -1 in k 3.173 * [taylor]: Taking taylor expansion of k in k 3.184 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.184 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 3.184 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 3.185 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.185 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.185 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.185 * [taylor]: Taking taylor expansion of 0.25 in k 3.185 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.185 * [taylor]: Taking taylor expansion of 1.0 in k 3.185 * [taylor]: Taking taylor expansion of k in k 3.185 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.185 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.185 * [taylor]: Taking taylor expansion of 2.0 in k 3.185 * [taylor]: Taking taylor expansion of (* n PI) in k 3.185 * [taylor]: Taking taylor expansion of n in k 3.185 * [taylor]: Taking taylor expansion of PI in k 3.186 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 3.186 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.186 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.186 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.186 * [taylor]: Taking taylor expansion of 0.25 in n 3.186 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.186 * [taylor]: Taking taylor expansion of 1.0 in n 3.186 * [taylor]: Taking taylor expansion of k in n 3.186 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.186 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.186 * [taylor]: Taking taylor expansion of 2.0 in n 3.186 * [taylor]: Taking taylor expansion of (* n PI) in n 3.186 * [taylor]: Taking taylor expansion of n in n 3.186 * [taylor]: Taking taylor expansion of PI in n 3.191 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 3.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.191 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.191 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.191 * [taylor]: Taking taylor expansion of 0.25 in n 3.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.191 * [taylor]: Taking taylor expansion of 1.0 in n 3.191 * [taylor]: Taking taylor expansion of k in n 3.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.191 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.191 * [taylor]: Taking taylor expansion of 2.0 in n 3.191 * [taylor]: Taking taylor expansion of (* n PI) in n 3.191 * [taylor]: Taking taylor expansion of n in n 3.191 * [taylor]: Taking taylor expansion of PI in n 3.197 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 3.197 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.197 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.197 * [taylor]: Taking taylor expansion of 0.25 in k 3.197 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.198 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.198 * [taylor]: Taking taylor expansion of 1.0 in k 3.198 * [taylor]: Taking taylor expansion of k in k 3.198 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.198 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.198 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.198 * [taylor]: Taking taylor expansion of 2.0 in k 3.198 * [taylor]: Taking taylor expansion of PI in k 3.198 * [taylor]: Taking taylor expansion of (log n) in k 3.199 * [taylor]: Taking taylor expansion of n in k 3.210 * [taylor]: Taking taylor expansion of 0 in k 3.232 * [taylor]: Taking taylor expansion of 0 in k 3.272 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 3.272 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 3.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.272 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.272 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.272 * [taylor]: Taking taylor expansion of 0.25 in k 3.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.272 * [taylor]: Taking taylor expansion of 1.0 in k 3.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.272 * [taylor]: Taking taylor expansion of k in k 3.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.273 * [taylor]: Taking taylor expansion of 2.0 in k 3.273 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.273 * [taylor]: Taking taylor expansion of PI in k 3.273 * [taylor]: Taking taylor expansion of n in k 3.273 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 3.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.274 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.274 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.274 * [taylor]: Taking taylor expansion of 0.25 in n 3.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.274 * [taylor]: Taking taylor expansion of 1.0 in n 3.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.274 * [taylor]: Taking taylor expansion of k in n 3.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.274 * [taylor]: Taking taylor expansion of 2.0 in n 3.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.274 * [taylor]: Taking taylor expansion of PI in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.277 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 3.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.277 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.277 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.277 * [taylor]: Taking taylor expansion of 0.25 in n 3.277 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.277 * [taylor]: Taking taylor expansion of 1.0 in n 3.277 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.277 * [taylor]: Taking taylor expansion of k in n 3.277 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.278 * [taylor]: Taking taylor expansion of 2.0 in n 3.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.278 * [taylor]: Taking taylor expansion of PI in n 3.278 * [taylor]: Taking taylor expansion of n in n 3.283 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 3.283 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.283 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.283 * [taylor]: Taking taylor expansion of 0.25 in k 3.283 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.283 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.283 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.283 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.283 * [taylor]: Taking taylor expansion of 2.0 in k 3.283 * [taylor]: Taking taylor expansion of PI in k 3.284 * [taylor]: Taking taylor expansion of (log n) in k 3.284 * [taylor]: Taking taylor expansion of n in k 3.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.284 * [taylor]: Taking taylor expansion of 1.0 in k 3.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.284 * [taylor]: Taking taylor expansion of k in k 3.296 * [taylor]: Taking taylor expansion of 0 in k 3.305 * [taylor]: Taking taylor expansion of 0 in k 3.318 * [taylor]: Taking taylor expansion of 0 in k 3.319 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 3.319 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 3.319 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.319 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.319 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.319 * [taylor]: Taking taylor expansion of 0.25 in k 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.319 * [taylor]: Taking taylor expansion of k in k 3.320 * [taylor]: Taking taylor expansion of 1.0 in k 3.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.320 * [taylor]: Taking taylor expansion of -2.0 in k 3.320 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.320 * [taylor]: Taking taylor expansion of PI in k 3.320 * [taylor]: Taking taylor expansion of n in k 3.321 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 3.321 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.321 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.321 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.321 * [taylor]: Taking taylor expansion of 0.25 in n 3.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.321 * [taylor]: Taking taylor expansion of k in n 3.321 * [taylor]: Taking taylor expansion of 1.0 in n 3.321 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.321 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.321 * [taylor]: Taking taylor expansion of -2.0 in n 3.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.321 * [taylor]: Taking taylor expansion of PI in n 3.321 * [taylor]: Taking taylor expansion of n in n 3.324 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 3.324 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.324 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.324 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.324 * [taylor]: Taking taylor expansion of 0.25 in n 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.324 * [taylor]: Taking taylor expansion of k in n 3.324 * [taylor]: Taking taylor expansion of 1.0 in n 3.324 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.324 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.324 * [taylor]: Taking taylor expansion of -2.0 in n 3.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.325 * [taylor]: Taking taylor expansion of PI in n 3.325 * [taylor]: Taking taylor expansion of n in n 3.336 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 3.336 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.336 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.336 * [taylor]: Taking taylor expansion of 0.25 in k 3.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.336 * [taylor]: Taking taylor expansion of k in k 3.336 * [taylor]: Taking taylor expansion of 1.0 in k 3.336 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.336 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.336 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.336 * [taylor]: Taking taylor expansion of -2.0 in k 3.336 * [taylor]: Taking taylor expansion of PI in k 3.337 * [taylor]: Taking taylor expansion of (log n) in k 3.337 * [taylor]: Taking taylor expansion of n in k 3.349 * [taylor]: Taking taylor expansion of 0 in k 3.359 * [taylor]: Taking taylor expansion of 0 in k 3.371 * [taylor]: Taking taylor expansion of 0 in k 3.372 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.372 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.372 * [taylor]: Taking taylor expansion of 2.0 in n 3.372 * [taylor]: Taking taylor expansion of (* n PI) in n 3.372 * [taylor]: Taking taylor expansion of n in n 3.372 * [taylor]: Taking taylor expansion of PI in n 3.373 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.373 * [taylor]: Taking taylor expansion of 2.0 in n 3.373 * [taylor]: Taking taylor expansion of (* n PI) in n 3.373 * [taylor]: Taking taylor expansion of n in n 3.373 * [taylor]: Taking taylor expansion of PI in n 3.385 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.385 * [taylor]: Taking taylor expansion of 2.0 in n 3.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.385 * [taylor]: Taking taylor expansion of PI in n 3.385 * [taylor]: Taking taylor expansion of n in n 3.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.385 * [taylor]: Taking taylor expansion of 2.0 in n 3.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.385 * [taylor]: Taking taylor expansion of PI in n 3.385 * [taylor]: Taking taylor expansion of n in n 3.394 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.394 * [taylor]: Taking taylor expansion of -2.0 in n 3.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.394 * [taylor]: Taking taylor expansion of PI in n 3.394 * [taylor]: Taking taylor expansion of n in n 3.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.394 * [taylor]: Taking taylor expansion of -2.0 in n 3.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.394 * [taylor]: Taking taylor expansion of PI in n 3.394 * [taylor]: Taking taylor expansion of n in n 3.403 * * * [progress]: simplifying candidates 3.405 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (* 0.25 (- 1.0 k))) (* (+ (log (* 2.0 PI)) (log n)) (* 0.25 (- 1.0 k))) (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (* 1 (* 0.25 (- 1.0 k))) (* 1 (* 0.25 (- 1.0 k))) (* 1 (* 0.25 (- 1.0 k))) (pow (* (* 2.0 PI) n) 0.25) (pow (* (* 2.0 PI) n) (* 0.25 1.0)) (pow (* (* 2.0 PI) n) (* 0.25 (- k))) (pow (* (* 2.0 PI) n) (* 0.25 1.0)) (pow (* (* 2.0 PI) n) (* 0.25 (- k))) (pow (* (* 2.0 PI) n) (* 1.0 0.25)) (pow (* (* 2.0 PI) n) (* (- k) 0.25)) (pow (* (* 2.0 PI) n) (* 1.0 0.25)) (pow (* (* 2.0 PI) n) (* (- k) 0.25)) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) (pow n (* 0.25 (- 1.0 k))) (log (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (exp (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (* (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))))) (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (* (* (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (sqrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (sqrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (* 0.25 (- 1.0 k)) 2)) (pow (* (* 2.0 PI) n) (/ (* 0.25 (- 1.0 k)) 2)) (- (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 2.0) (log PI)) (log n)) (* 0.25 (- 1.0 k))) 2) (* (* (+ (log (* 2.0 PI)) (log n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (log (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (* (log (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (* (* 0.25 (- 1.0 k)) 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (* (cbrt 2) (cbrt 2))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (sqrt 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 1) (pow (pow (* (* 2.0 PI) n) (* 0.25 1.0)) 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- k))) 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 1.0)) 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- k))) 2) (pow (pow (* (* 2.0 PI) n) (* 1.0 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* (- k) 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* 1.0 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* (- k) 0.25)) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (pow (pow n (* 0.25 (- 1.0 k))) 2) (pow (* (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))))) 2) (pow (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (pow (sqrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (pow (sqrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (pow 1 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (pow (* (* 2.0 PI) n) (/ (* 0.25 (- 1.0 k)) 2)) 2) (pow (pow (* (* 2.0 PI) n) (/ (* 0.25 (- 1.0 k)) 2)) 2) (log (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (exp (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (* (cbrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (cbrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2))) (cbrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (* (* (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (sqrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (sqrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (/ 2 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (/ 2 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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +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))))) (- (+ (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.5 (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.405 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h1)) (log h2)) (* h3 (- h4 h5))) (* (+ (log (* h0 h1)) (log h2)) (* h3 (- h4 h5))) (* (log (* (* h0 h1) h2)) (* h3 (- h4 h5))) (* (log (* (* h0 h1) h2)) (* h3 (- h4 h5))) (* 1 (* h3 (- h4 h5))) (* 1 (* h3 (- h4 h5))) (* 1 (* h3 (- h4 h5))) (pow (* (* h0 h1) h2) h3) (pow (* (* h0 h1) h2) (* h3 h4)) (pow (* (* h0 h1) h2) (* h3 (- h5))) (pow (* (* h0 h1) h2) (* h3 h4)) (pow (* (* h0 h1) h2) (* h3 (- h5))) (pow (* (* h0 h1) h2) (* h4 h3)) (pow (* (* h0 h1) h2) (* (- h5) h3)) (pow (* (* h0 h1) h2) (* h4 h3)) (pow (* (* h0 h1) h2) (* (- h5) h3)) (pow (* h0 h1) (* h3 (- h4 h5))) (pow h2 (* h3 (- h4 h5))) (log (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (exp (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (* (cbrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (cbrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5))))) (cbrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (* (* (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (sqrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (sqrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (pow (* (* h0 h1) h2) (/ (* h3 (- h4 h5)) 2)) (pow (* (* h0 h1) h2) (/ (* h3 (- h4 h5)) 2)) (- (log h4) (log (sqrt h5))) (log (/ h4 (sqrt h5))) (exp (/ h4 (sqrt h5))) (/ (* (* h4 h4) h4) (* (* (sqrt h5) (sqrt h5)) (sqrt h5))) (* (cbrt (/ h4 (sqrt h5))) (cbrt (/ h4 (sqrt h5)))) (cbrt (/ h4 (sqrt h5))) (* (* (/ h4 (sqrt h5)) (/ h4 (sqrt h5))) (/ h4 (sqrt h5))) (sqrt (/ h4 (sqrt h5))) (sqrt (/ h4 (sqrt h5))) (- h4) (- (sqrt h5)) (/ (* (cbrt h4) (cbrt h4)) (* (cbrt (sqrt h5)) (cbrt (sqrt h5)))) (/ (cbrt h4) (cbrt (sqrt h5))) (/ (* (cbrt h4) (cbrt h4)) (sqrt (* (cbrt h5) (cbrt h5)))) (/ (cbrt h4) (sqrt (cbrt h5))) (/ (* (cbrt h4) (cbrt h4)) (sqrt (sqrt h5))) (/ (cbrt h4) (sqrt (sqrt h5))) (/ (* (cbrt h4) (cbrt h4)) (sqrt 1)) (/ (cbrt h4) (sqrt h5)) (/ (* (cbrt h4) (cbrt h4)) (sqrt (sqrt h5))) (/ (cbrt h4) (sqrt (sqrt h5))) (/ (* (cbrt h4) (cbrt h4)) 1) (/ (cbrt h4) (sqrt h5)) (/ (sqrt h4) (* (cbrt (sqrt h5)) (cbrt (sqrt h5)))) (/ (sqrt h4) (cbrt (sqrt h5))) (/ (sqrt h4) (sqrt (* (cbrt h5) (cbrt h5)))) (/ (sqrt h4) (sqrt (cbrt h5))) (/ (sqrt h4) (sqrt (sqrt h5))) (/ (sqrt h4) (sqrt (sqrt h5))) (/ (sqrt h4) (sqrt 1)) (/ (sqrt h4) (sqrt h5)) (/ (sqrt h4) (sqrt (sqrt h5))) (/ (sqrt h4) (sqrt (sqrt h5))) (/ (sqrt h4) 1) (/ (sqrt h4) (sqrt h5)) (/ 1 (* (cbrt (sqrt h5)) (cbrt (sqrt h5)))) (/ h4 (cbrt (sqrt h5))) (/ 1 (sqrt (* (cbrt h5) (cbrt h5)))) (/ h4 (sqrt (cbrt h5))) (/ 1 (sqrt (sqrt h5))) (/ h4 (sqrt (sqrt h5))) (/ 1 (sqrt 1)) (/ h4 (sqrt h5)) (/ 1 (sqrt (sqrt h5))) (/ h4 (sqrt (sqrt h5))) (/ 1 1) (/ h4 (sqrt h5)) (/ 1 (sqrt h5)) (/ (sqrt h5) h4) (/ h4 (* (cbrt (sqrt h5)) (cbrt (sqrt h5)))) (/ h4 (sqrt (* (cbrt h5) (cbrt h5)))) (/ h4 (sqrt (sqrt h5))) (/ h4 (sqrt 1)) (/ h4 (sqrt (sqrt h5))) (/ h4 1) (/ (sqrt h5) (cbrt h4)) (/ (sqrt h5) (sqrt h4)) (/ (sqrt h5) h4) (* (* (+ (+ (log h0) (log h1)) (log h2)) (* h3 (- h4 h5))) 2) (* (* (+ (log (* h0 h1)) (log h2)) (* h3 (- h4 h5))) 2) (* (* (log (* (* h0 h1) h2)) (* h3 (- h4 h5))) 2) (* (* (log (* (* h0 h1) h2)) (* h3 (- h4 h5))) 2) (* (log (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) 2) (* (log (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) 2) (* (* h3 (- h4 h5)) 2) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) (* (cbrt 2) (cbrt 2))) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) (sqrt 2)) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 1) (pow (pow (* (* h0 h1) h2) (* h3 h4)) 2) (pow (pow (* (* h0 h1) h2) (* h3 (- h5))) 2) (pow (pow (* (* h0 h1) h2) (* h3 h4)) 2) (pow (pow (* (* h0 h1) h2) (* h3 (- h5))) 2) (pow (pow (* (* h0 h1) h2) (* h4 h3)) 2) (pow (pow (* (* h0 h1) h2) (* (- h5) h3)) 2) (pow (pow (* (* h0 h1) h2) (* h4 h3)) 2) (pow (pow (* (* h0 h1) h2) (* (- h5) h3)) 2) (pow (pow (* h0 h1) (* h3 (- h4 h5))) 2) (pow (pow h2 (* h3 (- h4 h5))) 2) (pow (* (cbrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) (cbrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5))))) 2) (pow (cbrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) 2) (pow (sqrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) 2) (pow (sqrt (pow (* (* h0 h1) h2) (* h3 (- h4 h5)))) 2) (pow 1 2) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2) (pow (pow (* (* h0 h1) h2) (/ (* h3 (- h4 h5)) 2)) 2) (pow (pow (* (* h0 h1) h2) (/ (* h3 (- h4 h5)) 2)) 2) (log (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (exp (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (* (cbrt (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (cbrt (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2))) (cbrt (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (* (* (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (sqrt (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (sqrt (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) 2)) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) (/ 2 2)) (pow (pow (* (* h0 h1) h2) (* h3 (- h4 h5))) (/ 2 2)) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (- (+ (* h6 (* (pow h5 2) (* (pow (log (* h0 h1)) 2) (exp (* h3 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h3 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h5 2) (* (log (* h0 h1)) (* (exp (* h3 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h6 (* (pow h5 2) (* (exp (* h3 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h3 (* h5 (* (log (* h0 h1)) (exp (* h3 (+ (log (* h0 h1)) (log h2))))))) (* h3 (* h5 (* (exp (* h3 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h3 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h4 h5)))) (exp (* h3 (* (- h4 h5) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h5) (- (+ (* h9 (pow h5 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h5 2))) (- (+ (* h9 (/ 1 h5)) (- (* h9 (/ 1 (pow h5 3)))))))) (- (+ (* h9 (/ 1 (pow h5 2))) (- (+ (* h9 (/ 1 h5)) (- h9))))) (- (+ (pow (exp (* h3 (+ (log (* h0 h1)) (log h2)))) 2) (+ (* h3 (* (pow h5 2) (* (log (* h0 h1)) (* (pow (exp (* h3 (+ (log (* h0 h1)) (log h2)))) 2) (log h2))))) (+ (* h10 (* (pow h5 2) (* (pow (log (* h0 h1)) 2) (pow (exp (* h3 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h10 (* (pow h5 2) (* (pow (exp (* h3 (+ (log (* h0 h1)) (log h2)))) 2) (pow (log h2) 2))))))) (+ (* h11 (* h5 (* (log (* h0 h1)) (pow (exp (* h3 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h11 (* h5 (* (pow (exp (* h3 (+ (log (* h0 h1)) (log h2)))) 2) (log h2)))))) (pow (exp (* h3 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h4 h5)))) 2) (pow (exp (* h3 (* (- h4 h5) (- (log (* h8 h1)) (log (/ -1 h2)))))) 2) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) 3.412 * * [simplify]: iteration 0 : 648 enodes (cost 877 ) 3.424 * * [simplify]: iteration 1 : 2676 enodes (cost 795 ) 3.470 * * [simplify]: iteration 2 : 5001 enodes (cost 784 ) 3.474 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (* 0.25 (- 1.0 k)) (* 0.25 (- 1.0 k)) (* 0.25 (- 1.0 k)) (pow (* 2.0 (* n PI)) 0.25) (pow (* (* 2.0 PI) n) (* 1.0 0.25)) (pow (* (* 2.0 PI) n) (* (- k) 0.25)) (pow (* (* 2.0 PI) n) (* 1.0 0.25)) (pow (* (* 2.0 PI) n) (* (- k) 0.25)) (pow (* (* 2.0 PI) n) (* 1.0 0.25)) (pow (* (* 2.0 PI) n) (* (- k) 0.25)) (pow (* (* 2.0 PI) n) (* 1.0 0.25)) (pow (* (* 2.0 PI) n) (* (- k) 0.25)) (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) (pow n (* 0.25 (- 1.0 k))) (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) (exp (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (pow (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 3) (sqrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (sqrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (* 0.25 (- 1.0 k)) 2)) (pow (* (* 2.0 PI) n) (/ (* 0.25 (- 1.0 k)) 2)) (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))) (/ 1.0 (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 (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (* (* 0.25 (- 1.0 k)) 2) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (* (cbrt 2) (cbrt 2))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (sqrt 2)) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (pow (pow (* (* 2.0 PI) n) (* 1.0 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* (- k) 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* 1.0 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* (- k) 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* 1.0 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* (- k) 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* 1.0 0.25)) 2) (pow (pow (* (* 2.0 PI) n) (* (- k) 0.25)) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) (pow (pow n (* 0.25 (- 1.0 k))) 2) (pow (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 4) (pow (cbrt (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) 2) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 1 (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (* (* (log (* (* 2.0 PI) n)) (* 0.25 (- 1.0 k))) 2) (exp (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (* (cbrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (cbrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2))) (cbrt (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2)) (pow (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) 3) (fabs (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (fabs (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k)))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (+ (pow (* 2.0 (* n PI)) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 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))) (+ (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (- (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (pow (* 2.0 (* n PI)) 0.25) 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.475 * * * [progress]: adding candidates to table 3.772 * * [progress]: iteration 4 / 4 3.772 * * * [progress]: picking best candidate 3.814 * * * * [pick]: Picked # 3.814 * * * [progress]: localizing error 3.832 * * * [progress]: generating rewritten candidates 3.832 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.853 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.884 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.905 * * * [progress]: generating series expansions 3.905 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.906 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.906 * [taylor]: Taking taylor expansion of 0.5 in k 3.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.906 * [taylor]: Taking taylor expansion of 1.0 in k 3.906 * [taylor]: Taking taylor expansion of k in k 3.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.906 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.906 * [taylor]: Taking taylor expansion of 2.0 in k 3.906 * [taylor]: Taking taylor expansion of (* n PI) in k 3.906 * [taylor]: Taking taylor expansion of n in k 3.906 * [taylor]: Taking taylor expansion of PI in k 3.907 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.907 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.907 * [taylor]: Taking taylor expansion of 0.5 in n 3.907 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.907 * [taylor]: Taking taylor expansion of 1.0 in n 3.907 * [taylor]: Taking taylor expansion of k in n 3.907 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.907 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.907 * [taylor]: Taking taylor expansion of 2.0 in n 3.907 * [taylor]: Taking taylor expansion of (* n PI) in n 3.907 * [taylor]: Taking taylor expansion of n in n 3.907 * [taylor]: Taking taylor expansion of PI in n 3.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.913 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.913 * [taylor]: Taking taylor expansion of 0.5 in n 3.913 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.913 * [taylor]: Taking taylor expansion of 1.0 in n 3.913 * [taylor]: Taking taylor expansion of k in n 3.913 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.913 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.913 * [taylor]: Taking taylor expansion of 2.0 in n 3.913 * [taylor]: Taking taylor expansion of (* n PI) in n 3.913 * [taylor]: Taking taylor expansion of n in n 3.913 * [taylor]: Taking taylor expansion of PI in n 3.918 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.918 * [taylor]: Taking taylor expansion of 0.5 in k 3.918 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.918 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.918 * [taylor]: Taking taylor expansion of 1.0 in k 3.918 * [taylor]: Taking taylor expansion of k in k 3.918 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.918 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.918 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.918 * [taylor]: Taking taylor expansion of 2.0 in k 3.918 * [taylor]: Taking taylor expansion of PI in k 3.919 * [taylor]: Taking taylor expansion of (log n) in k 3.919 * [taylor]: Taking taylor expansion of n in k 3.933 * [taylor]: Taking taylor expansion of 0 in k 3.948 * [taylor]: Taking taylor expansion of 0 in k 3.966 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.966 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.966 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.966 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.966 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.966 * [taylor]: Taking taylor expansion of 0.5 in k 3.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.966 * [taylor]: Taking taylor expansion of 1.0 in k 3.966 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.966 * [taylor]: Taking taylor expansion of k in k 3.967 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.967 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.967 * [taylor]: Taking taylor expansion of 2.0 in k 3.967 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.967 * [taylor]: Taking taylor expansion of PI in k 3.967 * [taylor]: Taking taylor expansion of n in k 3.968 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.968 * [taylor]: Taking taylor expansion of 0.5 in n 3.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.968 * [taylor]: Taking taylor expansion of 1.0 in n 3.968 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.968 * [taylor]: Taking taylor expansion of k in n 3.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.968 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.968 * [taylor]: Taking taylor expansion of 2.0 in n 3.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.968 * [taylor]: Taking taylor expansion of PI in n 3.968 * [taylor]: Taking taylor expansion of n in n 3.971 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.971 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.971 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.971 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.971 * [taylor]: Taking taylor expansion of 0.5 in n 3.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.972 * [taylor]: Taking taylor expansion of 1.0 in n 3.972 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.972 * [taylor]: Taking taylor expansion of k in n 3.972 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.972 * [taylor]: Taking taylor expansion of 2.0 in n 3.972 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.972 * [taylor]: Taking taylor expansion of PI in n 3.972 * [taylor]: Taking taylor expansion of n in n 3.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.976 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.976 * [taylor]: Taking taylor expansion of 0.5 in k 3.976 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.976 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.976 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.976 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.976 * [taylor]: Taking taylor expansion of 2.0 in k 3.976 * [taylor]: Taking taylor expansion of PI in k 3.977 * [taylor]: Taking taylor expansion of (log n) in k 3.977 * [taylor]: Taking taylor expansion of n in k 3.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.977 * [taylor]: Taking taylor expansion of 1.0 in k 3.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.977 * [taylor]: Taking taylor expansion of k in k 3.986 * [taylor]: Taking taylor expansion of 0 in k 3.992 * [taylor]: Taking taylor expansion of 0 in k 4.002 * [taylor]: Taking taylor expansion of 0 in k 4.003 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.003 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.003 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.003 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.003 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.003 * [taylor]: Taking taylor expansion of 0.5 in k 4.003 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.003 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.003 * [taylor]: Taking taylor expansion of k in k 4.003 * [taylor]: Taking taylor expansion of 1.0 in k 4.003 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.003 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.003 * [taylor]: Taking taylor expansion of -2.0 in k 4.003 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.003 * [taylor]: Taking taylor expansion of PI in k 4.003 * [taylor]: Taking taylor expansion of n in k 4.004 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.004 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.004 * [taylor]: Taking taylor expansion of 0.5 in n 4.004 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.004 * [taylor]: Taking taylor expansion of k in n 4.004 * [taylor]: Taking taylor expansion of 1.0 in n 4.004 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.004 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.004 * [taylor]: Taking taylor expansion of -2.0 in n 4.004 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.004 * [taylor]: Taking taylor expansion of PI in n 4.004 * [taylor]: Taking taylor expansion of n in n 4.008 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.008 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.008 * [taylor]: Taking taylor expansion of 0.5 in n 4.008 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.008 * [taylor]: Taking taylor expansion of k in n 4.008 * [taylor]: Taking taylor expansion of 1.0 in n 4.008 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.008 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.008 * [taylor]: Taking taylor expansion of -2.0 in n 4.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.008 * [taylor]: Taking taylor expansion of PI in n 4.008 * [taylor]: Taking taylor expansion of n in n 4.011 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.012 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.012 * [taylor]: Taking taylor expansion of 0.5 in k 4.012 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.012 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.012 * [taylor]: Taking taylor expansion of k in k 4.012 * [taylor]: Taking taylor expansion of 1.0 in k 4.012 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.012 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.012 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.012 * [taylor]: Taking taylor expansion of -2.0 in k 4.012 * [taylor]: Taking taylor expansion of PI in k 4.013 * [taylor]: Taking taylor expansion of (log n) in k 4.013 * [taylor]: Taking taylor expansion of n in k 4.028 * [taylor]: Taking taylor expansion of 0 in k 4.035 * [taylor]: Taking taylor expansion of 0 in k 4.044 * [taylor]: Taking taylor expansion of 0 in k 4.045 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.045 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.045 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.045 * [taylor]: Taking taylor expansion of 0.5 in k 4.045 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.045 * [taylor]: Taking taylor expansion of 1.0 in k 4.045 * [taylor]: Taking taylor expansion of k in k 4.045 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.045 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.045 * [taylor]: Taking taylor expansion of 2.0 in k 4.045 * [taylor]: Taking taylor expansion of (* n PI) in k 4.045 * [taylor]: Taking taylor expansion of n in k 4.045 * [taylor]: Taking taylor expansion of PI in k 4.046 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.046 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.046 * [taylor]: Taking taylor expansion of 0.5 in n 4.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.046 * [taylor]: Taking taylor expansion of 1.0 in n 4.046 * [taylor]: Taking taylor expansion of k in n 4.046 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.047 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.047 * [taylor]: Taking taylor expansion of 2.0 in n 4.047 * [taylor]: Taking taylor expansion of (* n PI) in n 4.047 * [taylor]: Taking taylor expansion of n in n 4.047 * [taylor]: Taking taylor expansion of PI in n 4.051 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.052 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.052 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.052 * [taylor]: Taking taylor expansion of 0.5 in n 4.052 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.052 * [taylor]: Taking taylor expansion of 1.0 in n 4.052 * [taylor]: Taking taylor expansion of k in n 4.052 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.052 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.052 * [taylor]: Taking taylor expansion of 2.0 in n 4.052 * [taylor]: Taking taylor expansion of (* n PI) in n 4.052 * [taylor]: Taking taylor expansion of n in n 4.052 * [taylor]: Taking taylor expansion of PI in n 4.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.057 * [taylor]: Taking taylor expansion of 0.5 in k 4.057 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.057 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.057 * [taylor]: Taking taylor expansion of 1.0 in k 4.057 * [taylor]: Taking taylor expansion of k in k 4.057 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.057 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.057 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.057 * [taylor]: Taking taylor expansion of 2.0 in k 4.057 * [taylor]: Taking taylor expansion of PI in k 4.058 * [taylor]: Taking taylor expansion of (log n) in k 4.058 * [taylor]: Taking taylor expansion of n in k 4.067 * [taylor]: Taking taylor expansion of 0 in k 4.082 * [taylor]: Taking taylor expansion of 0 in k 4.100 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.100 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.100 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.100 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.100 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.100 * [taylor]: Taking taylor expansion of 0.5 in k 4.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.100 * [taylor]: Taking taylor expansion of 1.0 in k 4.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.100 * [taylor]: Taking taylor expansion of k in k 4.100 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.100 * [taylor]: Taking taylor expansion of 2.0 in k 4.100 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.100 * [taylor]: Taking taylor expansion of PI in k 4.100 * [taylor]: Taking taylor expansion of n in k 4.101 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.101 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.101 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.101 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.101 * [taylor]: Taking taylor expansion of 0.5 in n 4.101 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.102 * [taylor]: Taking taylor expansion of 1.0 in n 4.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.102 * [taylor]: Taking taylor expansion of k in n 4.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.102 * [taylor]: Taking taylor expansion of 2.0 in n 4.102 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.102 * [taylor]: Taking taylor expansion of PI in n 4.102 * [taylor]: Taking taylor expansion of n in n 4.105 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.105 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.105 * [taylor]: Taking taylor expansion of 0.5 in n 4.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.105 * [taylor]: Taking taylor expansion of 1.0 in n 4.105 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.105 * [taylor]: Taking taylor expansion of k in n 4.105 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.105 * [taylor]: Taking taylor expansion of 2.0 in n 4.105 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.105 * [taylor]: Taking taylor expansion of PI in n 4.105 * [taylor]: Taking taylor expansion of n in n 4.109 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.109 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.109 * [taylor]: Taking taylor expansion of 0.5 in k 4.109 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.109 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.109 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.109 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.109 * [taylor]: Taking taylor expansion of 2.0 in k 4.109 * [taylor]: Taking taylor expansion of PI in k 4.110 * [taylor]: Taking taylor expansion of (log n) in k 4.110 * [taylor]: Taking taylor expansion of n in k 4.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.110 * [taylor]: Taking taylor expansion of 1.0 in k 4.110 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.110 * [taylor]: Taking taylor expansion of k in k 4.125 * [taylor]: Taking taylor expansion of 0 in k 4.132 * [taylor]: Taking taylor expansion of 0 in k 4.141 * [taylor]: Taking taylor expansion of 0 in k 4.143 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.143 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.143 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.143 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.143 * [taylor]: Taking taylor expansion of 0.5 in k 4.143 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.143 * [taylor]: Taking taylor expansion of k in k 4.143 * [taylor]: Taking taylor expansion of 1.0 in k 4.143 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.143 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.143 * [taylor]: Taking taylor expansion of -2.0 in k 4.143 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.143 * [taylor]: Taking taylor expansion of PI in k 4.143 * [taylor]: Taking taylor expansion of n in k 4.144 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.144 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.144 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.144 * [taylor]: Taking taylor expansion of 0.5 in n 4.144 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.144 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.144 * [taylor]: Taking taylor expansion of k in n 4.144 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.144 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.144 * [taylor]: Taking taylor expansion of -2.0 in n 4.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.144 * [taylor]: Taking taylor expansion of PI in n 4.144 * [taylor]: Taking taylor expansion of n in n 4.148 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.148 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.148 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.148 * [taylor]: Taking taylor expansion of 0.5 in n 4.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.148 * [taylor]: Taking taylor expansion of k in n 4.148 * [taylor]: Taking taylor expansion of 1.0 in n 4.148 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.148 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.148 * [taylor]: Taking taylor expansion of -2.0 in n 4.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.148 * [taylor]: Taking taylor expansion of PI in n 4.148 * [taylor]: Taking taylor expansion of n in n 4.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.152 * [taylor]: Taking taylor expansion of 0.5 in k 4.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.152 * [taylor]: Taking taylor expansion of k in k 4.152 * [taylor]: Taking taylor expansion of 1.0 in k 4.152 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.152 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.152 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.152 * [taylor]: Taking taylor expansion of -2.0 in k 4.152 * [taylor]: Taking taylor expansion of PI in k 4.153 * [taylor]: Taking taylor expansion of (log n) in k 4.153 * [taylor]: Taking taylor expansion of n in k 4.161 * [taylor]: Taking taylor expansion of 0 in k 4.168 * [taylor]: Taking taylor expansion of 0 in k 4.177 * [taylor]: Taking taylor expansion of 0 in k 4.178 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.178 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.178 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.178 * [taylor]: Taking taylor expansion of 1.0 in k 4.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.178 * [taylor]: Taking taylor expansion of k in k 4.179 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.179 * [taylor]: Taking taylor expansion of 1.0 in k 4.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.179 * [taylor]: Taking taylor expansion of k in k 4.190 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.190 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.190 * [taylor]: Taking taylor expansion of 1.0 in k 4.190 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.190 * [taylor]: Taking taylor expansion of k in k 4.191 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.191 * [taylor]: Taking taylor expansion of 1.0 in k 4.191 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.191 * [taylor]: Taking taylor expansion of k in k 4.201 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.201 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.201 * [taylor]: Taking taylor expansion of 1.0 in k 4.201 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.201 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.201 * [taylor]: Taking taylor expansion of -1 in k 4.201 * [taylor]: Taking taylor expansion of k in k 4.202 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.202 * [taylor]: Taking taylor expansion of 1.0 in k 4.202 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.202 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.202 * [taylor]: Taking taylor expansion of -1 in k 4.202 * [taylor]: Taking taylor expansion of k in k 4.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.221 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.221 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.221 * [taylor]: Taking taylor expansion of 2.0 in n 4.221 * [taylor]: Taking taylor expansion of (* n PI) in n 4.221 * [taylor]: Taking taylor expansion of n in n 4.221 * [taylor]: Taking taylor expansion of PI in n 4.221 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.221 * [taylor]: Taking taylor expansion of 2.0 in n 4.221 * [taylor]: Taking taylor expansion of (* n PI) in n 4.221 * [taylor]: Taking taylor expansion of n in n 4.221 * [taylor]: Taking taylor expansion of PI in n 4.233 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.233 * [taylor]: Taking taylor expansion of 2.0 in n 4.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.233 * [taylor]: Taking taylor expansion of PI in n 4.233 * [taylor]: Taking taylor expansion of n in n 4.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.233 * [taylor]: Taking taylor expansion of 2.0 in n 4.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.233 * [taylor]: Taking taylor expansion of PI in n 4.233 * [taylor]: Taking taylor expansion of n in n 4.242 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.242 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.242 * [taylor]: Taking taylor expansion of -2.0 in n 4.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.242 * [taylor]: Taking taylor expansion of PI in n 4.242 * [taylor]: Taking taylor expansion of n in n 4.243 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.243 * [taylor]: Taking taylor expansion of -2.0 in n 4.243 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.243 * [taylor]: Taking taylor expansion of PI in n 4.243 * [taylor]: Taking taylor expansion of n in n 4.251 * * * [progress]: simplifying candidates 4.253 * [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)) (- (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) (* (* 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)))))) (- (+ (* +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)) 4.254 * [simplify]: Sending expressions to egg_math: (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0)) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ h3 h0)) (pow (* (* h0 h1) h2) (/ h4 h0)) (pow (* (* h0 h1) h2) (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0)))) (pow (* (* h0 h1) h2) (sqrt (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (- h3 h4)) (pow (* h0 h1) (/ (- h3 h4) h0)) (pow h2 (/ (- h3 h4) h0)) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (exp (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0)) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ h3 h0)) (pow (* (* h0 h1) h2) (/ h4 h0)) (pow (* (* h0 h1) h2) (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0)))) (pow (* (* h0 h1) h2) (sqrt (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (- h3 h4)) (pow (* h0 h1) (/ (- h3 h4) h0)) (pow h2 (/ (- h3 h4) h0)) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (exp (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (- (log h3) (log (sqrt h4))) (log (/ h3 (sqrt h4))) (exp (/ h3 (sqrt h4))) (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (cbrt (/ h3 (sqrt h4))) (cbrt (/ h3 (sqrt h4)))) (cbrt (/ h3 (sqrt h4))) (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (- h3) (- (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (cbrt h3) (cbrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (cbrt h3) (sqrt (cbrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt 1)) (/ (cbrt h3) (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) 1) (/ (cbrt h3) (sqrt h4)) (/ (sqrt h3) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (sqrt h3) (cbrt (sqrt h4))) (/ (sqrt h3) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (sqrt h3) (sqrt (cbrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt 1)) (/ (sqrt h3) (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) 1) (/ (sqrt h3) (sqrt h4)) (/ 1 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (cbrt (sqrt h4))) (/ 1 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (cbrt h4))) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt 1)) (/ h3 (sqrt h4)) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 1) (/ h3 (sqrt h4)) (/ 1 (sqrt h4)) (/ (sqrt h4) h3) (/ h3 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (sqrt h4))) (/ h3 (sqrt 1)) (/ h3 (sqrt (sqrt h4))) (/ h3 1) (/ (sqrt h4) (cbrt h3)) (/ (sqrt h4) (sqrt h3)) (/ (sqrt h4) h3) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) 4.260 * * [simplify]: iteration 0 : 563 enodes (cost 968 ) 4.270 * * [simplify]: iteration 1 : 2197 enodes (cost 904 ) 4.307 * * [simplify]: iteration 2 : 5001 enodes (cost 886 ) 4.312 * [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)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 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) (- (- (+ (+ (* (* 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)))))) (- (- (+ (+ (* (* 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)))))) (+ (- (* +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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.313 * * * [progress]: adding candidates to table 4.771 * [progress]: [Phase 3 of 3] Extracting. 4.771 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.781 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 4.781 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 4.830 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 4.888 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.096 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.148 * * * [regime]: Found split indices: #