9.393 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.140 * * * [progress]: [2/2] Setting up program. 0.143 * [progress]: [Phase 2 of 3] Improving. 0.143 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.146 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.147 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.149 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.151 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.157 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.180 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.180 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.181 * * [progress]: iteration 1 / 4 0.181 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.207 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.216 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.235 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.235 * [taylor]: Taking taylor expansion of 0.5 in k 0.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.235 * [taylor]: Taking taylor expansion of 1.0 in k 0.235 * [taylor]: Taking taylor expansion of k in k 0.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.235 * [taylor]: Taking taylor expansion of 2.0 in k 0.235 * [taylor]: Taking taylor expansion of (* n PI) in k 0.235 * [taylor]: Taking taylor expansion of n in k 0.235 * [taylor]: Taking taylor expansion of PI in k 0.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.236 * [taylor]: Taking taylor expansion of 0.5 in n 0.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.236 * [taylor]: Taking taylor expansion of 1.0 in n 0.236 * [taylor]: Taking taylor expansion of k in n 0.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.236 * [taylor]: Taking taylor expansion of 2.0 in n 0.236 * [taylor]: Taking taylor expansion of (* n PI) in n 0.236 * [taylor]: Taking taylor expansion of n in n 0.236 * [taylor]: Taking taylor expansion of PI in n 0.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.242 * [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 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.247 * [taylor]: Taking taylor expansion of 0.5 in k 0.247 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.247 * [taylor]: Taking taylor expansion of 1.0 in k 0.247 * [taylor]: Taking taylor expansion of k in k 0.247 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.247 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.247 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.247 * [taylor]: Taking taylor expansion of 2.0 in k 0.247 * [taylor]: Taking taylor expansion of PI in k 0.252 * [taylor]: Taking taylor expansion of (log n) in k 0.252 * [taylor]: Taking taylor expansion of n in k 0.262 * [taylor]: Taking taylor expansion of 0 in k 0.277 * [taylor]: Taking taylor expansion of 0 in k 0.296 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.297 * [taylor]: Taking taylor expansion of 2.0 in k 0.297 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.297 * [taylor]: Taking taylor expansion of PI in k 0.297 * [taylor]: Taking taylor expansion of n in k 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.298 * [taylor]: Taking taylor expansion of k in n 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.302 * [taylor]: Taking taylor expansion of 0.5 in n 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.302 * [taylor]: Taking taylor expansion of 2.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.306 * [taylor]: Taking taylor expansion of 0.5 in k 0.306 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.306 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.306 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.306 * [taylor]: Taking taylor expansion of 2.0 in k 0.306 * [taylor]: Taking taylor expansion of PI in k 0.307 * [taylor]: Taking taylor expansion of (log n) in k 0.307 * [taylor]: Taking taylor expansion of n in k 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.307 * [taylor]: Taking taylor expansion of 1.0 in k 0.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.307 * [taylor]: Taking taylor expansion of k in k 0.317 * [taylor]: Taking taylor expansion of 0 in k 0.324 * [taylor]: Taking taylor expansion of 0 in k 0.338 * [taylor]: Taking taylor expansion of 0 in k 0.339 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.339 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.339 * [taylor]: Taking taylor expansion of 0.5 in k 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.339 * [taylor]: Taking taylor expansion of k in k 0.340 * [taylor]: Taking taylor expansion of 1.0 in k 0.340 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.340 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.340 * [taylor]: Taking taylor expansion of -2.0 in k 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.340 * [taylor]: Taking taylor expansion of PI in k 0.340 * [taylor]: Taking taylor expansion of n in k 0.341 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of -2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.345 * [taylor]: Taking taylor expansion of k in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.345 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.345 * [taylor]: Taking taylor expansion of -2.0 in n 0.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.348 * [taylor]: Taking taylor expansion of 0.5 in k 0.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.349 * [taylor]: Taking taylor expansion of k in k 0.349 * [taylor]: Taking taylor expansion of 1.0 in k 0.349 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.349 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.349 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.349 * [taylor]: Taking taylor expansion of -2.0 in k 0.349 * [taylor]: Taking taylor expansion of PI in k 0.350 * [taylor]: Taking taylor expansion of (log n) in k 0.350 * [taylor]: Taking taylor expansion of n in k 0.359 * [taylor]: Taking taylor expansion of 0 in k 0.366 * [taylor]: Taking taylor expansion of 0 in k 0.374 * [taylor]: Taking taylor expansion of 0 in k 0.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.376 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.376 * [taylor]: Taking taylor expansion of 2.0 in n 0.376 * [taylor]: Taking taylor expansion of (* n PI) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.376 * [taylor]: Taking taylor expansion of PI in n 0.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.376 * [taylor]: Taking taylor expansion of 2.0 in n 0.376 * [taylor]: Taking taylor expansion of (* n PI) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.376 * [taylor]: Taking taylor expansion of PI in n 0.389 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.389 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.389 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.398 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.398 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.398 * [taylor]: Taking taylor expansion of -2.0 in n 0.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.398 * [taylor]: Taking taylor expansion of PI in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.398 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.398 * [taylor]: Taking taylor expansion of -2.0 in n 0.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.398 * [taylor]: Taking taylor expansion of PI in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.407 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.408 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.425 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.425 * [taylor]: Taking taylor expansion of 1.0 in k 0.425 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.425 * [taylor]: Taking taylor expansion of k in k 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.426 * [taylor]: Taking taylor expansion of 1.0 in k 0.426 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.426 * [taylor]: Taking taylor expansion of k in k 0.437 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.437 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.437 * [taylor]: Taking taylor expansion of 1.0 in k 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.437 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.437 * [taylor]: Taking taylor expansion of -1 in k 0.437 * [taylor]: Taking taylor expansion of k in k 0.438 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.438 * [taylor]: Taking taylor expansion of 1.0 in k 0.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.438 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.439 * [taylor]: Taking taylor expansion of -1 in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.450 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.451 * [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 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.451 * [taylor]: Taking taylor expansion of k in n 0.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.452 * [taylor]: Taking taylor expansion of 0.5 in n 0.452 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of k in n 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (* n PI) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.457 * [taylor]: Taking taylor expansion of 1.0 in k 0.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.457 * [taylor]: Taking taylor expansion of k in k 0.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.458 * [taylor]: Taking taylor expansion of 0.5 in k 0.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.458 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [taylor]: Taking taylor expansion of k in k 0.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.459 * [taylor]: Taking taylor expansion of 2.0 in k 0.459 * [taylor]: Taking taylor expansion of (* n PI) in k 0.459 * [taylor]: Taking taylor expansion of n in k 0.459 * [taylor]: Taking taylor expansion of PI in k 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.461 * [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 0.463 * [taylor]: Taking taylor expansion of 0 in n 0.468 * [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 0.468 * [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 0.468 * [taylor]: Taking taylor expansion of +nan.0 in n 0.468 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.469 * [taylor]: Taking taylor expansion of 0.5 in n 0.469 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.469 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.469 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [taylor]: Taking taylor expansion of (log PI) in n 0.469 * [taylor]: Taking taylor expansion of PI in n 0.470 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.470 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of (log n) in n 0.471 * [taylor]: Taking taylor expansion of n in n 0.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.471 * [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 0.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.494 * [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 0.500 * [taylor]: Taking taylor expansion of 1.0 in n 0.500 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.500 * [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 0.508 * [taylor]: Taking taylor expansion of (* n PI) in n 0.508 * [taylor]: Taking taylor expansion of n in n 0.508 * [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 0.571 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.571 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.571 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.571 * [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 0.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.579 * [taylor]: Taking taylor expansion of (* n PI) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.582 * [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 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of +nan.0 in n 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.582 * [taylor]: Taking taylor expansion of 0.5 in n 0.582 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.582 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.582 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log PI) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of (log n) in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.590 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.590 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.590 * [taylor]: Taking taylor expansion of (* n PI) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of PI in n 0.668 * [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 0.668 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.668 * [taylor]: Taking taylor expansion of 1.0 in n 0.668 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.668 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.668 * [taylor]: Taking taylor expansion of k in n 0.668 * [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 0.672 * [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 0.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.674 * [taylor]: Taking taylor expansion of 2.0 in k 0.674 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.674 * [taylor]: Taking taylor expansion of PI in k 0.674 * [taylor]: Taking taylor expansion of n in k 0.675 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.675 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.676 * [taylor]: Taking taylor expansion of 0.5 in k 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.676 * [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 0.678 * [taylor]: Taking taylor expansion of 0 in n 0.679 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.679 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.679 * [taylor]: Taking taylor expansion of +nan.0 in n 0.679 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.679 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.679 * [taylor]: Taking taylor expansion of 0.5 in n 0.679 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.679 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.679 * [taylor]: Taking taylor expansion of 2.0 in n 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.679 * [taylor]: Taking taylor expansion of PI in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.694 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.694 * [taylor]: Taking taylor expansion of +nan.0 in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.695 * [taylor]: Taking taylor expansion of 0.5 in n 0.695 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.695 * [taylor]: Taking taylor expansion of 2.0 in n 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.696 * [taylor]: Taking taylor expansion of k in n 0.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of 2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.714 * [taylor]: Taking taylor expansion of 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 0.722 * [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 0.722 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.723 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.723 * [taylor]: Taking taylor expansion of 0.5 in n 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.723 * [taylor]: Taking taylor expansion of k in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.723 * [taylor]: Taking taylor expansion of -2.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.723 * [taylor]: Taking taylor expansion of PI in n 0.723 * [taylor]: Taking taylor expansion of n in n 0.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.726 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.726 * [taylor]: Taking taylor expansion of -1 in n 0.726 * [taylor]: Taking taylor expansion of k in n 0.727 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.727 * [taylor]: Taking taylor expansion of 1.0 in k 0.727 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.727 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.728 * [taylor]: Taking taylor expansion of 0.5 in k 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.728 * [taylor]: Taking taylor expansion of k in k 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.728 * [taylor]: Taking taylor expansion of -2.0 in k 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.728 * [taylor]: Taking taylor expansion of PI in k 0.728 * [taylor]: Taking taylor expansion of n in k 0.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.729 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.729 * [taylor]: Taking taylor expansion of -1 in k 0.729 * [taylor]: Taking taylor expansion of k in k 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.730 * [taylor]: Taking taylor expansion of 1.0 in k 0.730 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.730 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.730 * [taylor]: Taking taylor expansion of 0.5 in k 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.730 * [taylor]: Taking taylor expansion of k in k 0.731 * [taylor]: Taking taylor expansion of 1.0 in k 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.731 * [taylor]: Taking taylor expansion of -2.0 in k 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.731 * [taylor]: Taking taylor expansion of PI in k 0.731 * [taylor]: Taking taylor expansion of n in k 0.732 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.732 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.732 * [taylor]: Taking taylor expansion of -1 in k 0.732 * [taylor]: Taking taylor expansion of k in k 0.733 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.733 * [taylor]: Taking taylor expansion of +nan.0 in n 0.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.733 * [taylor]: Taking taylor expansion of 0.5 in n 0.733 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.734 * [taylor]: Taking taylor expansion of k in n 0.734 * [taylor]: Taking taylor expansion of 1.0 in n 0.734 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.734 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.734 * [taylor]: Taking taylor expansion of -2.0 in n 0.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.734 * [taylor]: Taking taylor expansion of PI in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.743 * [taylor]: Taking taylor expansion of +nan.0 in n 0.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.743 * [taylor]: Taking taylor expansion of 0.5 in n 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.743 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.743 * [taylor]: Taking taylor expansion of -2.0 in n 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.743 * [taylor]: Taking taylor expansion of PI in n 0.743 * [taylor]: Taking taylor expansion of n in n 0.760 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.761 * [taylor]: Taking taylor expansion of +nan.0 in n 0.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.761 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.761 * [taylor]: Taking taylor expansion of 0.5 in n 0.761 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.761 * [taylor]: Taking taylor expansion of k in n 0.761 * [taylor]: Taking taylor expansion of 1.0 in n 0.761 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of -2.0 in n 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.770 * * * [progress]: simplifying candidates 0.772 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.874 * * * [progress]: adding candidates to table 1.261 * * [progress]: iteration 2 / 4 1.261 * * * [progress]: picking best candidate 1.287 * * * * [pick]: Picked # 1.287 * * * [progress]: localizing error 1.305 * * * [progress]: generating rewritten candidates 1.305 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.312 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.336 * * * [progress]: generating series expansions 1.336 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.337 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.337 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.337 * [taylor]: Taking taylor expansion of 0.5 in n 1.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.337 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.337 * [taylor]: Taking taylor expansion of 2.0 in n 1.337 * [taylor]: Taking taylor expansion of (* n PI) in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.337 * [taylor]: Taking taylor expansion of PI in n 1.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.342 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.342 * [taylor]: Taking taylor expansion of 0.5 in n 1.342 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.342 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.342 * [taylor]: Taking taylor expansion of 2.0 in n 1.342 * [taylor]: Taking taylor expansion of (* n PI) in n 1.342 * [taylor]: Taking taylor expansion of n in n 1.342 * [taylor]: Taking taylor expansion of PI in n 1.426 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.426 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.426 * [taylor]: Taking taylor expansion of 0.5 in n 1.426 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.426 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.426 * [taylor]: Taking taylor expansion of 2.0 in n 1.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.426 * [taylor]: Taking taylor expansion of PI in n 1.426 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.429 * [taylor]: Taking taylor expansion of 0.5 in n 1.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.429 * [taylor]: Taking taylor expansion of 2.0 in n 1.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.429 * [taylor]: Taking taylor expansion of PI in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.510 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.510 * [taylor]: Taking taylor expansion of -2.0 in n 1.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.513 * [taylor]: Taking taylor expansion of 0.5 in n 1.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.513 * [taylor]: Taking taylor expansion of -2.0 in n 1.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.592 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.593 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (* n PI) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (* n PI) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.605 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.605 * [taylor]: Taking taylor expansion of 2.0 in n 1.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.605 * [taylor]: Taking taylor expansion of PI in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.605 * [taylor]: Taking taylor expansion of 2.0 in n 1.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.605 * [taylor]: Taking taylor expansion of PI in n 1.606 * [taylor]: Taking taylor expansion of n in n 1.614 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.614 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of -2.0 in n 1.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.614 * [taylor]: Taking taylor expansion of PI in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.615 * [taylor]: Taking taylor expansion of -2.0 in n 1.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.615 * [taylor]: Taking taylor expansion of PI in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.624 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.624 * [taylor]: Taking taylor expansion of 2.0 in n 1.624 * [taylor]: Taking taylor expansion of (* n PI) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of PI in n 1.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.624 * [taylor]: Taking taylor expansion of 2.0 in n 1.624 * [taylor]: Taking taylor expansion of (* n PI) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of PI in n 1.637 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.637 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.637 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.637 * [taylor]: Taking taylor expansion of PI in n 1.637 * [taylor]: Taking taylor expansion of n in n 1.637 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.637 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.637 * [taylor]: Taking taylor expansion of PI in n 1.637 * [taylor]: Taking taylor expansion of n in n 1.652 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.652 * [taylor]: Taking taylor expansion of -2.0 in n 1.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.652 * [taylor]: Taking taylor expansion of -2.0 in n 1.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.660 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.661 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.661 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.661 * [taylor]: Taking taylor expansion of 0.5 in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.661 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.661 * [taylor]: Taking taylor expansion of 2.0 in k 1.661 * [taylor]: Taking taylor expansion of (* n PI) in k 1.661 * [taylor]: Taking taylor expansion of n in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.664 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.664 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.664 * [taylor]: Taking taylor expansion of 0.5 in n 1.664 * [taylor]: Taking taylor expansion of k in n 1.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.664 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.664 * [taylor]: Taking taylor expansion of 2.0 in n 1.664 * [taylor]: Taking taylor expansion of (* n PI) in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.664 * [taylor]: Taking taylor expansion of PI in n 1.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.669 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.669 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.669 * [taylor]: Taking taylor expansion of 0.5 in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.669 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.669 * [taylor]: Taking taylor expansion of 2.0 in n 1.669 * [taylor]: Taking taylor expansion of (* n PI) in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.675 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.675 * [taylor]: Taking taylor expansion of 0.5 in k 1.675 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.675 * [taylor]: Taking taylor expansion of 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 1.686 * [taylor]: Taking taylor expansion of 0 in k 1.695 * [taylor]: Taking taylor expansion of 0 in k 1.709 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.709 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.709 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.709 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.709 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.709 * [taylor]: Taking taylor expansion of 0.5 in k 1.709 * [taylor]: Taking taylor expansion of k in k 1.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.710 * [taylor]: Taking taylor expansion of 2.0 in k 1.710 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.710 * [taylor]: Taking taylor expansion of PI in k 1.710 * [taylor]: Taking taylor expansion of n in k 1.710 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.710 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.710 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.710 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.710 * [taylor]: Taking taylor expansion of 0.5 in n 1.710 * [taylor]: Taking taylor expansion of k in n 1.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.710 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.714 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.714 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.714 * [taylor]: Taking taylor expansion of 0.5 in n 1.714 * [taylor]: Taking taylor expansion of k in n 1.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of 2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.717 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.717 * [taylor]: Taking taylor expansion of 0.5 in k 1.717 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.717 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.717 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.718 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.718 * [taylor]: Taking taylor expansion of 2.0 in k 1.718 * [taylor]: Taking taylor expansion of PI in k 1.719 * [taylor]: Taking taylor expansion of (log n) in k 1.719 * [taylor]: Taking taylor expansion of n in k 1.719 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of 0 in k 1.739 * [taylor]: Taking taylor expansion of 0 in k 1.747 * [taylor]: Taking taylor expansion of 0 in k 1.749 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.749 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.749 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.749 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.749 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.749 * [taylor]: Taking taylor expansion of -0.5 in k 1.749 * [taylor]: Taking taylor expansion of k in k 1.749 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.749 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.749 * [taylor]: Taking taylor expansion of -2.0 in k 1.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.749 * [taylor]: Taking taylor expansion of PI in k 1.749 * [taylor]: Taking taylor expansion of n in k 1.749 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.749 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.749 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.749 * [taylor]: Taking taylor expansion of -0.5 in n 1.749 * [taylor]: Taking taylor expansion of k in n 1.749 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.749 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of -2.0 in n 1.750 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.750 * [taylor]: Taking taylor expansion of PI in n 1.750 * [taylor]: Taking taylor expansion of n in n 1.753 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.753 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.753 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.753 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.753 * [taylor]: Taking taylor expansion of -0.5 in n 1.753 * [taylor]: Taking taylor expansion of k in n 1.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.753 * [taylor]: Taking taylor expansion of -2.0 in n 1.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.753 * [taylor]: Taking taylor expansion of PI in n 1.753 * [taylor]: Taking taylor expansion of n in n 1.757 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.757 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.757 * [taylor]: Taking taylor expansion of -0.5 in k 1.757 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.757 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.757 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.757 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.757 * [taylor]: Taking taylor expansion of -2.0 in k 1.757 * [taylor]: Taking taylor expansion of PI in k 1.758 * [taylor]: Taking taylor expansion of (log n) in k 1.758 * [taylor]: Taking taylor expansion of n in k 1.758 * [taylor]: Taking taylor expansion of k in k 1.766 * [taylor]: Taking taylor expansion of 0 in k 1.772 * [taylor]: Taking taylor expansion of 0 in k 1.780 * [taylor]: Taking taylor expansion of 0 in k 1.781 * * * [progress]: simplifying candidates 1.782 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.788 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 1.795 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 1.827 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 1.830 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.831 * * * [progress]: adding candidates to table 2.095 * * [progress]: iteration 3 / 4 2.096 * * * [progress]: picking best candidate 2.128 * * * * [pick]: Picked # 2.128 * * * [progress]: localizing error 2.148 * * * [progress]: generating rewritten candidates 2.148 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.155 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 2.165 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.173 * * * [progress]: generating series expansions 2.173 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.174 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.174 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.174 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.174 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.174 * [taylor]: Taking taylor expansion of 0.5 in n 2.174 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.174 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.174 * [taylor]: Taking taylor expansion of 2.0 in n 2.174 * [taylor]: Taking taylor expansion of (* n PI) in n 2.174 * [taylor]: Taking taylor expansion of n in n 2.174 * [taylor]: Taking taylor expansion of PI in n 2.180 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.180 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.180 * [taylor]: Taking taylor expansion of 0.5 in n 2.180 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.180 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.180 * [taylor]: Taking taylor expansion of 2.0 in n 2.180 * [taylor]: Taking taylor expansion of (* n PI) in n 2.180 * [taylor]: Taking taylor expansion of n in n 2.180 * [taylor]: Taking taylor expansion of PI in n 2.261 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.261 * [taylor]: Taking taylor expansion of 0.5 in n 2.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.261 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.261 * [taylor]: Taking taylor expansion of 2.0 in n 2.261 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.261 * [taylor]: Taking taylor expansion of PI in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.265 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.265 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.265 * [taylor]: Taking taylor expansion of 0.5 in n 2.265 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.265 * [taylor]: Taking taylor expansion of 2.0 in n 2.265 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.265 * [taylor]: Taking taylor expansion of PI in n 2.265 * [taylor]: Taking taylor expansion of n in n 2.346 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.346 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.346 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.346 * [taylor]: Taking taylor expansion of 0.5 in n 2.346 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.346 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.346 * [taylor]: Taking taylor expansion of -2.0 in n 2.346 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.346 * [taylor]: Taking taylor expansion of PI in n 2.346 * [taylor]: Taking taylor expansion of n in n 2.349 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.349 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.349 * [taylor]: Taking taylor expansion of 0.5 in n 2.349 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.349 * [taylor]: Taking taylor expansion of -2.0 in n 2.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.428 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.428 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.428 * [taylor]: Taking taylor expansion of 2.0 in n 2.429 * [taylor]: Taking taylor expansion of (* n PI) in n 2.429 * [taylor]: Taking taylor expansion of n in n 2.429 * [taylor]: Taking taylor expansion of PI in n 2.429 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.429 * [taylor]: Taking taylor expansion of 2.0 in n 2.429 * [taylor]: Taking taylor expansion of (* n PI) in n 2.429 * [taylor]: Taking taylor expansion of n in n 2.429 * [taylor]: Taking taylor expansion of PI in n 2.441 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.441 * [taylor]: Taking taylor expansion of 2.0 in n 2.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.441 * [taylor]: Taking taylor expansion of PI in n 2.441 * [taylor]: Taking taylor expansion of n in n 2.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.441 * [taylor]: Taking taylor expansion of 2.0 in n 2.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.441 * [taylor]: Taking taylor expansion of PI in n 2.441 * [taylor]: Taking taylor expansion of n in n 2.456 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.456 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.456 * [taylor]: Taking taylor expansion of -2.0 in n 2.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.457 * [taylor]: Taking taylor expansion of -2.0 in n 2.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.466 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 2.466 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.466 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.466 * [taylor]: Taking taylor expansion of 2.0 in n 2.466 * [taylor]: Taking taylor expansion of (* n PI) in n 2.466 * [taylor]: Taking taylor expansion of n in n 2.466 * [taylor]: Taking taylor expansion of PI in n 2.466 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.466 * [taylor]: Taking taylor expansion of 2.0 in n 2.466 * [taylor]: Taking taylor expansion of (* n PI) in n 2.466 * [taylor]: Taking taylor expansion of n in n 2.466 * [taylor]: Taking taylor expansion of PI in n 2.478 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.478 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.478 * [taylor]: Taking taylor expansion of 2.0 in n 2.478 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.479 * [taylor]: Taking taylor expansion of PI in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.479 * [taylor]: Taking taylor expansion of 2.0 in n 2.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.479 * [taylor]: Taking taylor expansion of PI in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.488 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.488 * [taylor]: Taking taylor expansion of -2.0 in n 2.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.488 * [taylor]: Taking taylor expansion of PI in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.488 * [taylor]: Taking taylor expansion of -2.0 in n 2.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.488 * [taylor]: Taking taylor expansion of PI in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.497 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.497 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.497 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.497 * [taylor]: Taking taylor expansion of 2.0 in n 2.497 * [taylor]: Taking taylor expansion of (* n PI) in n 2.497 * [taylor]: Taking taylor expansion of n in n 2.497 * [taylor]: Taking taylor expansion of PI in n 2.497 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.497 * [taylor]: Taking taylor expansion of 2.0 in n 2.497 * [taylor]: Taking taylor expansion of (* n PI) in n 2.497 * [taylor]: Taking taylor expansion of n in n 2.498 * [taylor]: Taking taylor expansion of PI in n 2.510 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.510 * [taylor]: Taking taylor expansion of 2.0 in n 2.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.510 * [taylor]: Taking taylor expansion of PI in n 2.510 * [taylor]: Taking taylor expansion of n in n 2.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.510 * [taylor]: Taking taylor expansion of 2.0 in n 2.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.510 * [taylor]: Taking taylor expansion of PI in n 2.510 * [taylor]: Taking taylor expansion of n in n 2.519 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.519 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.519 * [taylor]: Taking taylor expansion of -2.0 in n 2.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.519 * [taylor]: Taking taylor expansion of PI in n 2.519 * [taylor]: Taking taylor expansion of n in n 2.520 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.520 * [taylor]: Taking taylor expansion of -2.0 in n 2.520 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.520 * [taylor]: Taking taylor expansion of PI in n 2.520 * [taylor]: Taking taylor expansion of n in n 2.534 * * * [progress]: simplifying candidates 2.536 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.540 * * [simplify]: iteration 0 : 270 enodes (cost 395 ) 2.545 * * [simplify]: iteration 1 : 1047 enodes (cost 339 ) 2.567 * * [simplify]: iteration 2 : 5001 enodes (cost 339 ) 2.570 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.570 * * * [progress]: adding candidates to table 2.803 * * [progress]: iteration 4 / 4 2.803 * * * [progress]: picking best candidate 2.829 * * * * [pick]: Picked # 2.829 * * * [progress]: localizing error 2.847 * * * [progress]: generating rewritten candidates 2.847 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.863 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.875 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.885 * * * [progress]: generating series expansions 2.885 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.886 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 2.886 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.886 * [taylor]: Taking taylor expansion of 1.0 in n 2.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.886 * [taylor]: Taking taylor expansion of k in n 2.886 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.886 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.886 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.886 * [taylor]: Taking taylor expansion of 0.5 in n 2.886 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.886 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.886 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.886 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.886 * [taylor]: Taking taylor expansion of 1.0 in n 2.886 * [taylor]: Taking taylor expansion of (log PI) in n 2.886 * [taylor]: Taking taylor expansion of PI in n 2.888 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.888 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.888 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.888 * [taylor]: Taking taylor expansion of 1.0 in n 2.888 * [taylor]: Taking taylor expansion of (log n) in n 2.888 * [taylor]: Taking taylor expansion of n in n 2.889 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.889 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.889 * [taylor]: Taking taylor expansion of 1.0 in n 2.889 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.889 * [taylor]: Taking taylor expansion of 2.0 in n 2.895 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.895 * [taylor]: Taking taylor expansion of 1.0 in k 2.895 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.895 * [taylor]: Taking taylor expansion of k in k 2.896 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.896 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.896 * [taylor]: Taking taylor expansion of 0.5 in k 2.896 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.896 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.896 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.896 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.896 * [taylor]: Taking taylor expansion of 1.0 in k 2.896 * [taylor]: Taking taylor expansion of (log PI) in k 2.896 * [taylor]: Taking taylor expansion of PI in k 2.898 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.898 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.898 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.898 * [taylor]: Taking taylor expansion of 1.0 in k 2.898 * [taylor]: Taking taylor expansion of (log n) in k 2.898 * [taylor]: Taking taylor expansion of n in k 2.898 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.898 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.898 * [taylor]: Taking taylor expansion of 1.0 in k 2.898 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.898 * [taylor]: Taking taylor expansion of 2.0 in k 2.904 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.904 * [taylor]: Taking taylor expansion of 1.0 in k 2.904 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.904 * [taylor]: Taking taylor expansion of k in k 2.905 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.905 * [taylor]: Taking taylor expansion of 0.5 in k 2.905 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.905 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.905 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.905 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.905 * [taylor]: Taking taylor expansion of 1.0 in k 2.905 * [taylor]: Taking taylor expansion of (log PI) in k 2.905 * [taylor]: Taking taylor expansion of PI in k 2.907 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.907 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.907 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.907 * [taylor]: Taking taylor expansion of 1.0 in k 2.907 * [taylor]: Taking taylor expansion of (log n) in k 2.907 * [taylor]: Taking taylor expansion of n in k 2.907 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.907 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.907 * [taylor]: Taking taylor expansion of 1.0 in k 2.907 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.907 * [taylor]: Taking taylor expansion of 2.0 in k 2.914 * [taylor]: Taking taylor expansion of 0 in n 2.926 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.926 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.926 * [taylor]: Taking taylor expansion of +nan.0 in n 2.926 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.926 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.926 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.926 * [taylor]: Taking taylor expansion of 0.5 in n 2.926 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.926 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.926 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.926 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.926 * [taylor]: Taking taylor expansion of 1.0 in n 2.926 * [taylor]: Taking taylor expansion of (log PI) in n 2.927 * [taylor]: Taking taylor expansion of PI in n 2.928 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.928 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.928 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.928 * [taylor]: Taking taylor expansion of 1.0 in n 2.928 * [taylor]: Taking taylor expansion of (log n) in n 2.928 * [taylor]: Taking taylor expansion of n in n 2.929 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.929 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.929 * [taylor]: Taking taylor expansion of 1.0 in n 2.929 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.929 * [taylor]: Taking taylor expansion of 2.0 in n 2.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.964 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.964 * [taylor]: Taking taylor expansion of +nan.0 in n 2.964 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.964 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.964 * [taylor]: Taking taylor expansion of 0.5 in n 2.964 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.965 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.965 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.965 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.965 * [taylor]: Taking taylor expansion of 1.0 in n 2.965 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.965 * [taylor]: Taking taylor expansion of 2.0 in n 2.966 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.966 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.966 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.966 * [taylor]: Taking taylor expansion of 1.0 in n 2.966 * [taylor]: Taking taylor expansion of (log n) in n 2.966 * [taylor]: Taking taylor expansion of n in n 2.967 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.967 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.967 * [taylor]: Taking taylor expansion of 1.0 in n 2.967 * [taylor]: Taking taylor expansion of (log PI) in n 2.967 * [taylor]: Taking taylor expansion of PI in n 3.016 * [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 3.016 * [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 3.016 * [taylor]: Taking taylor expansion of +nan.0 in n 3.016 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.016 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.016 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.016 * [taylor]: Taking taylor expansion of 0.5 in n 3.016 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.016 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.016 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.016 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.016 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.016 * [taylor]: Taking taylor expansion of 1.0 in n 3.016 * [taylor]: Taking taylor expansion of (log PI) in n 3.016 * [taylor]: Taking taylor expansion of PI in n 3.018 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.018 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.018 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.018 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.018 * [taylor]: Taking taylor expansion of 1.0 in n 3.018 * [taylor]: Taking taylor expansion of (log n) in n 3.018 * [taylor]: Taking taylor expansion of n in n 3.019 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.019 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.019 * [taylor]: Taking taylor expansion of 1.0 in n 3.019 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.019 * [taylor]: Taking taylor expansion of 2.0 in n 3.030 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.030 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.030 * [taylor]: Taking taylor expansion of 1.0 in n 3.030 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.030 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.030 * [taylor]: Taking taylor expansion of k in n 3.030 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.030 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.030 * [taylor]: Taking taylor expansion of 0.5 in n 3.030 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.030 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.030 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.030 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.030 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.030 * [taylor]: Taking taylor expansion of 1.0 in n 3.030 * [taylor]: Taking taylor expansion of (log PI) in n 3.030 * [taylor]: Taking taylor expansion of PI in n 3.032 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.032 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.032 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.032 * [taylor]: Taking taylor expansion of 1.0 in n 3.032 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.032 * [taylor]: Taking taylor expansion of 2.0 in n 3.034 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.034 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.034 * [taylor]: Taking taylor expansion of 1.0 in n 3.034 * [taylor]: Taking taylor expansion of (log n) in n 3.034 * [taylor]: Taking taylor expansion of n in n 3.047 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 3.047 * [taylor]: Taking taylor expansion of 1.0 in k 3.047 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 3.047 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.047 * [taylor]: Taking taylor expansion of k in k 3.048 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.048 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.048 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.048 * [taylor]: Taking taylor expansion of 0.5 in k 3.048 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.048 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.048 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.048 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.048 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.048 * [taylor]: Taking taylor expansion of 1.0 in k 3.049 * [taylor]: Taking taylor expansion of (log PI) in k 3.049 * [taylor]: Taking taylor expansion of PI in k 3.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.050 * [taylor]: Taking taylor expansion of 1.0 in k 3.050 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.050 * [taylor]: Taking taylor expansion of 2.0 in k 3.052 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.052 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.052 * [taylor]: Taking taylor expansion of 1.0 in k 3.052 * [taylor]: Taking taylor expansion of (log n) in k 3.052 * [taylor]: Taking taylor expansion of n in k 3.059 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 3.059 * [taylor]: Taking taylor expansion of 1.0 in k 3.059 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 3.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.059 * [taylor]: Taking taylor expansion of k in k 3.060 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.060 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.060 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.060 * [taylor]: Taking taylor expansion of 0.5 in k 3.060 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.060 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.060 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.060 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.060 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.060 * [taylor]: Taking taylor expansion of 1.0 in k 3.060 * [taylor]: Taking taylor expansion of (log PI) in k 3.060 * [taylor]: Taking taylor expansion of PI in k 3.062 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.062 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.062 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.062 * [taylor]: Taking taylor expansion of 1.0 in k 3.062 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.062 * [taylor]: Taking taylor expansion of 2.0 in k 3.064 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.064 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.064 * [taylor]: Taking taylor expansion of 1.0 in k 3.064 * [taylor]: Taking taylor expansion of (log n) in k 3.064 * [taylor]: Taking taylor expansion of n in k 3.072 * [taylor]: Taking taylor expansion of 0 in n 3.087 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.087 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.087 * [taylor]: Taking taylor expansion of +nan.0 in n 3.087 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.087 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.087 * [taylor]: Taking taylor expansion of 0.5 in n 3.087 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.087 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.087 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.087 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.087 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.087 * [taylor]: Taking taylor expansion of 1.0 in n 3.087 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.087 * [taylor]: Taking taylor expansion of 2.0 in n 3.089 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.089 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.089 * [taylor]: Taking taylor expansion of 1.0 in n 3.089 * [taylor]: Taking taylor expansion of (log PI) in n 3.089 * [taylor]: Taking taylor expansion of PI in n 3.091 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.091 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.091 * [taylor]: Taking taylor expansion of 1.0 in n 3.091 * [taylor]: Taking taylor expansion of (log n) in n 3.091 * [taylor]: Taking taylor expansion of n in n 3.127 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.127 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.127 * [taylor]: Taking taylor expansion of +nan.0 in n 3.127 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.127 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.127 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.127 * [taylor]: Taking taylor expansion of 0.5 in n 3.127 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.127 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.127 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.128 * [taylor]: Taking taylor expansion of 1.0 in n 3.128 * [taylor]: Taking taylor expansion of (log PI) in n 3.128 * [taylor]: Taking taylor expansion of PI in n 3.130 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.130 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.130 * [taylor]: Taking taylor expansion of 1.0 in n 3.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.130 * [taylor]: Taking taylor expansion of 2.0 in n 3.137 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.137 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.137 * [taylor]: Taking taylor expansion of 1.0 in n 3.137 * [taylor]: Taking taylor expansion of (log n) in n 3.137 * [taylor]: Taking taylor expansion of n in n 3.195 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.195 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.195 * [taylor]: Taking taylor expansion of +nan.0 in n 3.195 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.195 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.195 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.195 * [taylor]: Taking taylor expansion of 0.5 in n 3.195 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.195 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.195 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.196 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.196 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.196 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.196 * [taylor]: Taking taylor expansion of 1.0 in n 3.196 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.196 * [taylor]: Taking taylor expansion of 2.0 in n 3.197 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.197 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.197 * [taylor]: Taking taylor expansion of 1.0 in n 3.197 * [taylor]: Taking taylor expansion of (log PI) in n 3.197 * [taylor]: Taking taylor expansion of PI in n 3.199 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.199 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.199 * [taylor]: Taking taylor expansion of 1.0 in n 3.199 * [taylor]: Taking taylor expansion of (log n) in n 3.199 * [taylor]: Taking taylor expansion of n in n 3.215 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.215 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.215 * [taylor]: Taking taylor expansion of 1.0 in n 3.215 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.215 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.215 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.215 * [taylor]: Taking taylor expansion of -1 in n 3.216 * [taylor]: Taking taylor expansion of k in n 3.216 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.216 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.216 * [taylor]: Taking taylor expansion of 0.5 in n 3.216 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.216 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.216 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.216 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.216 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.216 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.216 * [taylor]: Taking taylor expansion of 1.0 in n 3.216 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.216 * [taylor]: Taking taylor expansion of -2.0 in n 3.218 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.218 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.218 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.218 * [taylor]: Taking taylor expansion of 1.0 in n 3.218 * [taylor]: Taking taylor expansion of (log PI) in n 3.218 * [taylor]: Taking taylor expansion of PI in n 3.226 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.226 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.226 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.226 * [taylor]: Taking taylor expansion of 1.0 in n 3.226 * [taylor]: Taking taylor expansion of (log n) in n 3.226 * [taylor]: Taking taylor expansion of n in n 3.233 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.233 * [taylor]: Taking taylor expansion of 1.0 in k 3.233 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.234 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.234 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.234 * [taylor]: Taking taylor expansion of -1 in k 3.234 * [taylor]: Taking taylor expansion of k in k 3.235 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.235 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.235 * [taylor]: Taking taylor expansion of 0.5 in k 3.235 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.235 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.235 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.235 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.235 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.235 * [taylor]: Taking taylor expansion of 1.0 in k 3.235 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.235 * [taylor]: Taking taylor expansion of -2.0 in k 3.237 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [taylor]: Taking taylor expansion of (log PI) in k 3.237 * [taylor]: Taking taylor expansion of PI in k 3.239 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.239 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.239 * [taylor]: Taking taylor expansion of 1.0 in k 3.239 * [taylor]: Taking taylor expansion of (log n) in k 3.239 * [taylor]: Taking taylor expansion of n in k 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.246 * [taylor]: Taking taylor expansion of 1.0 in k 3.246 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.246 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.246 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.246 * [taylor]: Taking taylor expansion of -1 in k 3.246 * [taylor]: Taking taylor expansion of k in k 3.247 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.247 * [taylor]: Taking taylor expansion of 0.5 in k 3.247 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.247 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.248 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.248 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.248 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.248 * [taylor]: Taking taylor expansion of 1.0 in k 3.248 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.248 * [taylor]: Taking taylor expansion of -2.0 in k 3.249 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.249 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.249 * [taylor]: Taking taylor expansion of (log PI) in k 3.249 * [taylor]: Taking taylor expansion of PI in k 3.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.251 * [taylor]: Taking taylor expansion of 1.0 in k 3.251 * [taylor]: Taking taylor expansion of (log n) in k 3.251 * [taylor]: Taking taylor expansion of n in k 3.261 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.261 * [taylor]: Taking taylor expansion of +nan.0 in n 3.261 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.261 * [taylor]: Taking taylor expansion of 0.5 in n 3.261 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.261 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.261 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.261 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.261 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.261 * [taylor]: Taking taylor expansion of 1.0 in n 3.261 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.261 * [taylor]: Taking taylor expansion of -2.0 in n 3.263 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.263 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.263 * [taylor]: Taking taylor expansion of 1.0 in n 3.263 * [taylor]: Taking taylor expansion of (log PI) in n 3.263 * [taylor]: Taking taylor expansion of PI in n 3.265 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.265 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.265 * [taylor]: Taking taylor expansion of 1.0 in n 3.265 * [taylor]: Taking taylor expansion of (log n) in n 3.265 * [taylor]: Taking taylor expansion of n in n 3.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.294 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.294 * [taylor]: Taking taylor expansion of +nan.0 in n 3.294 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.294 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.294 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.294 * [taylor]: Taking taylor expansion of 0.5 in n 3.294 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.294 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.294 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.294 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.294 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.295 * [taylor]: Taking taylor expansion of 1.0 in n 3.295 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.295 * [taylor]: Taking taylor expansion of -2.0 in n 3.296 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.296 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.296 * [taylor]: Taking taylor expansion of 1.0 in n 3.296 * [taylor]: Taking taylor expansion of (log PI) in n 3.296 * [taylor]: Taking taylor expansion of PI in n 3.298 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.298 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.298 * [taylor]: Taking taylor expansion of 1.0 in n 3.298 * [taylor]: Taking taylor expansion of (log n) in n 3.298 * [taylor]: Taking taylor expansion of n in n 3.359 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.359 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.359 * [taylor]: Taking taylor expansion of +nan.0 in n 3.359 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.359 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.359 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.359 * [taylor]: Taking taylor expansion of 0.5 in n 3.359 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.359 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.359 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.359 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.359 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.359 * [taylor]: Taking taylor expansion of 1.0 in n 3.359 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.359 * [taylor]: Taking taylor expansion of -2.0 in n 3.361 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.361 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.361 * [taylor]: Taking taylor expansion of 1.0 in n 3.361 * [taylor]: Taking taylor expansion of (log PI) in n 3.361 * [taylor]: Taking taylor expansion of PI in n 3.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.363 * [taylor]: Taking taylor expansion of 1.0 in n 3.363 * [taylor]: Taking taylor expansion of (log n) in n 3.363 * [taylor]: Taking taylor expansion of n in n 3.378 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.379 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.379 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.379 * [taylor]: Taking taylor expansion of 0.5 in n 3.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.379 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.379 * [taylor]: Taking taylor expansion of 2.0 in n 3.379 * [taylor]: Taking taylor expansion of (* n PI) in n 3.379 * [taylor]: Taking taylor expansion of n in n 3.379 * [taylor]: Taking taylor expansion of PI in n 3.384 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.384 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.385 * [taylor]: Taking taylor expansion of 0.5 in n 3.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.385 * [taylor]: Taking taylor expansion of 2.0 in n 3.385 * [taylor]: Taking taylor expansion of (* n PI) in n 3.385 * [taylor]: Taking taylor expansion of n in n 3.385 * [taylor]: Taking taylor expansion of PI in n 3.469 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.469 * [taylor]: Taking taylor expansion of 0.5 in n 3.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.469 * [taylor]: Taking taylor expansion of 2.0 in n 3.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.469 * [taylor]: Taking taylor expansion of PI in n 3.469 * [taylor]: Taking taylor expansion of n in n 3.473 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.473 * [taylor]: Taking taylor expansion of 0.5 in n 3.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.473 * [taylor]: Taking taylor expansion of 2.0 in n 3.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.473 * [taylor]: Taking taylor expansion of PI in n 3.473 * [taylor]: Taking taylor expansion of n in n 3.555 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.555 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.555 * [taylor]: Taking taylor expansion of 0.5 in n 3.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.555 * [taylor]: Taking taylor expansion of -2.0 in n 3.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.555 * [taylor]: Taking taylor expansion of PI in n 3.555 * [taylor]: Taking taylor expansion of n in n 3.565 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.565 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.565 * [taylor]: Taking taylor expansion of 0.5 in n 3.565 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.565 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.565 * [taylor]: Taking taylor expansion of -2.0 in n 3.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.565 * [taylor]: Taking taylor expansion of PI in n 3.565 * [taylor]: Taking taylor expansion of n in n 3.646 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.646 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.646 * [taylor]: Taking taylor expansion of 2.0 in n 3.646 * [taylor]: Taking taylor expansion of (* n PI) in n 3.646 * [taylor]: Taking taylor expansion of n in n 3.646 * [taylor]: Taking taylor expansion of PI in n 3.647 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.647 * [taylor]: Taking taylor expansion of 2.0 in n 3.647 * [taylor]: Taking taylor expansion of (* n PI) in n 3.647 * [taylor]: Taking taylor expansion of n in n 3.647 * [taylor]: Taking taylor expansion of PI in n 3.659 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.659 * [taylor]: Taking taylor expansion of 2.0 in n 3.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.659 * [taylor]: Taking taylor expansion of PI in n 3.659 * [taylor]: Taking taylor expansion of n in n 3.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.659 * [taylor]: Taking taylor expansion of 2.0 in n 3.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.659 * [taylor]: Taking taylor expansion of PI in n 3.659 * [taylor]: Taking taylor expansion of n in n 3.668 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.668 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.668 * [taylor]: Taking taylor expansion of -2.0 in n 3.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.668 * [taylor]: Taking taylor expansion of PI in n 3.668 * [taylor]: Taking taylor expansion of n in n 3.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.669 * [taylor]: Taking taylor expansion of -2.0 in n 3.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.669 * [taylor]: Taking taylor expansion of PI in n 3.669 * [taylor]: Taking taylor expansion of n in n 3.677 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.678 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.678 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.678 * [taylor]: Taking taylor expansion of 2.0 in n 3.678 * [taylor]: Taking taylor expansion of (* n PI) in n 3.678 * [taylor]: Taking taylor expansion of n in n 3.678 * [taylor]: Taking taylor expansion of PI in n 3.678 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.678 * [taylor]: Taking taylor expansion of 2.0 in n 3.678 * [taylor]: Taking taylor expansion of (* n PI) in n 3.678 * [taylor]: Taking taylor expansion of n in n 3.678 * [taylor]: Taking taylor expansion of PI in n 3.690 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.690 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.690 * [taylor]: Taking taylor expansion of 2.0 in n 3.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.690 * [taylor]: Taking taylor expansion of PI in n 3.690 * [taylor]: Taking taylor expansion of n in n 3.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.691 * [taylor]: Taking taylor expansion of 2.0 in n 3.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.691 * [taylor]: Taking taylor expansion of PI in n 3.691 * [taylor]: Taking taylor expansion of n in n 3.700 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.700 * [taylor]: Taking taylor expansion of -2.0 in n 3.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.700 * [taylor]: Taking taylor expansion of PI in n 3.700 * [taylor]: Taking taylor expansion of n in n 3.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.700 * [taylor]: Taking taylor expansion of -2.0 in n 3.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.700 * [taylor]: Taking taylor expansion of PI in n 3.700 * [taylor]: Taking taylor expansion of n in n 3.709 * * * [progress]: simplifying candidates 3.711 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +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 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.718 * * [simplify]: iteration 0 : 619 enodes (cost 957 ) 3.729 * * [simplify]: iteration 1 : 2507 enodes (cost 860 ) 3.772 * * [simplify]: iteration 2 : 5001 enodes (cost 860 ) 3.776 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2))))) (- (* +nan.0 (* (/ 1 (pow k 3)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.783 * * * [progress]: adding candidates to table 4.105 * [progress]: [Phase 3 of 3] Extracting. 4.105 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 4.109 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.109 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 4.155 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 4.199 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 4.243 * * * [regime]: Found split indices: #