12.929 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.150 * * * [progress]: [2/2] Setting up program. 0.154 * [progress]: [Phase 2 of 3] Improving. 0.154 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.157 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.158 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.160 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.164 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.170 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.195 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.196 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.196 * * [progress]: iteration 1 / 4 0.196 * * * [progress]: picking best candidate 0.199 * * * * [pick]: Picked # 0.199 * * * [progress]: localizing error 0.214 * * * [progress]: generating rewritten candidates 0.214 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.255 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.260 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.290 * [taylor]: Taking taylor expansion of (* n PI) in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.297 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.297 * [taylor]: Taking taylor expansion of k in k 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.298 * [taylor]: Taking taylor expansion of 0.5 in k 0.298 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.298 * [taylor]: Taking taylor expansion of 1.0 in k 0.298 * [taylor]: Taking taylor expansion of k in k 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.298 * [taylor]: Taking taylor expansion of 2.0 in k 0.299 * [taylor]: Taking taylor expansion of (* n PI) in k 0.299 * [taylor]: Taking taylor expansion of n in k 0.299 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 in k 0.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.301 * [taylor]: Taking taylor expansion of 2.0 in k 0.301 * [taylor]: Taking taylor expansion of (* n PI) in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.301 * [taylor]: Taking taylor expansion of PI in k 0.303 * [taylor]: Taking taylor expansion of 0 in n 0.309 * [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 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of +nan.0 in n 0.309 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.309 * [taylor]: Taking taylor expansion of 0.5 in n 0.309 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.309 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.309 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.309 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.309 * [taylor]: Taking taylor expansion of 1.0 in n 0.309 * [taylor]: Taking taylor expansion of (log PI) in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.312 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log n) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.313 * [taylor]: Taking taylor expansion of 2.0 in n 0.335 * [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 0.335 * [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 0.335 * [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 0.335 * [taylor]: Taking taylor expansion of +nan.0 in n 0.335 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.335 * [taylor]: Taking taylor expansion of 0.5 in n 0.335 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.335 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.335 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.335 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.335 * [taylor]: Taking taylor expansion of 1.0 in n 0.335 * [taylor]: Taking taylor expansion of (log PI) in n 0.335 * [taylor]: Taking taylor expansion of PI in n 0.338 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.338 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.338 * [taylor]: Taking taylor expansion of 1.0 in n 0.338 * [taylor]: Taking taylor expansion of (log n) in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.338 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.338 * [taylor]: Taking taylor expansion of 1.0 in n 0.338 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.338 * [taylor]: Taking taylor expansion of 2.0 in n 0.344 * [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 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of +nan.0 in n 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.344 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.344 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.344 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.345 * [taylor]: Taking taylor expansion of 2.0 in n 0.346 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.347 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (log PI) in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of (log n) in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.353 * [taylor]: Taking taylor expansion of 2.0 in n 0.353 * [taylor]: Taking taylor expansion of (* n PI) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.418 * [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 0.418 * [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 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of +nan.0 in n 0.418 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.418 * [taylor]: Taking taylor expansion of 0.5 in n 0.418 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.418 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.418 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.418 * [taylor]: Taking taylor expansion of 1.0 in n 0.418 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.418 * [taylor]: Taking taylor expansion of 2.0 in n 0.420 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.420 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.420 * [taylor]: Taking taylor expansion of 1.0 in n 0.420 * [taylor]: Taking taylor expansion of (log n) in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.421 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.421 * [taylor]: Taking taylor expansion of 1.0 in n 0.421 * [taylor]: Taking taylor expansion of (log PI) in n 0.421 * [taylor]: Taking taylor expansion of PI in n 0.427 * [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 0.427 * [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 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of +nan.0 in n 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.428 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.428 * [taylor]: Taking taylor expansion of 0.5 in n 0.428 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.428 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.428 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.428 * [taylor]: Taking taylor expansion of 2.0 in n 0.430 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.430 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.430 * [taylor]: Taking taylor expansion of 1.0 in n 0.430 * [taylor]: Taking taylor expansion of (log PI) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.432 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.432 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of (log n) in n 0.432 * [taylor]: Taking taylor expansion of n in n 0.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.437 * [taylor]: Taking taylor expansion of 2.0 in n 0.437 * [taylor]: Taking taylor expansion of (* n PI) in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.437 * [taylor]: Taking taylor expansion of PI in n 0.440 * [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 0.440 * [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 0.440 * [taylor]: Taking taylor expansion of +nan.0 in n 0.440 * [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 0.440 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.440 * [taylor]: Taking taylor expansion of 0.5 in n 0.440 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.440 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.440 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.440 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.440 * [taylor]: Taking taylor expansion of 2.0 in n 0.442 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.442 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (log PI) in n 0.443 * [taylor]: Taking taylor expansion of PI in n 0.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log n) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.449 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.449 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.449 * [taylor]: Taking taylor expansion of 2.0 in n 0.449 * [taylor]: Taking taylor expansion of (* n PI) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.537 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.537 * [taylor]: Taking taylor expansion of k in n 0.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.537 * [taylor]: Taking taylor expansion of k in n 0.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.537 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.542 * [taylor]: Taking taylor expansion of 1.0 in k 0.542 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.542 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.542 * [taylor]: Taking taylor expansion of k in k 0.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.548 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.548 * [taylor]: Taking taylor expansion of 0.5 in k 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.548 * [taylor]: Taking taylor expansion of 1.0 in k 0.548 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.548 * [taylor]: Taking taylor expansion of k in k 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.549 * [taylor]: Taking taylor expansion of 2.0 in k 0.549 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.549 * [taylor]: Taking taylor expansion of PI in k 0.549 * [taylor]: Taking taylor expansion of n in k 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.550 * [taylor]: Taking taylor expansion of 1.0 in k 0.550 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.550 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.550 * [taylor]: Taking taylor expansion of k in k 0.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.551 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.551 * [taylor]: Taking taylor expansion of 0.5 in k 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.551 * [taylor]: Taking taylor expansion of 1.0 in k 0.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.551 * [taylor]: Taking taylor expansion of k in k 0.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.552 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.552 * [taylor]: Taking taylor expansion of 2.0 in k 0.552 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.552 * [taylor]: Taking taylor expansion of PI in k 0.552 * [taylor]: Taking taylor expansion of n in k 0.553 * [taylor]: Taking taylor expansion of 0 in n 0.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.554 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.554 * [taylor]: Taking taylor expansion of +nan.0 in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.554 * [taylor]: Taking taylor expansion of 0.5 in n 0.554 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.555 * [taylor]: Taking taylor expansion of 2.0 in n 0.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.555 * [taylor]: Taking taylor expansion of PI in n 0.555 * [taylor]: Taking taylor expansion of n in n 0.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.556 * [taylor]: Taking taylor expansion of k in n 0.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.566 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.566 * [taylor]: Taking taylor expansion of +nan.0 in n 0.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.566 * [taylor]: Taking taylor expansion of 0.5 in n 0.566 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.566 * [taylor]: Taking taylor expansion of 2.0 in n 0.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.568 * [taylor]: Taking taylor expansion of k in n 0.586 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.586 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.586 * [taylor]: Taking taylor expansion of +nan.0 in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.586 * [taylor]: Taking taylor expansion of 0.5 in n 0.586 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.586 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.586 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.586 * [taylor]: Taking taylor expansion of 2.0 in n 0.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.588 * [taylor]: Taking taylor expansion of 1.0 in n 0.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.588 * [taylor]: Taking taylor expansion of k in n 0.597 * [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 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.597 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.597 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.598 * [taylor]: Taking taylor expansion of 0.5 in n 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.598 * [taylor]: Taking taylor expansion of k in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.598 * [taylor]: Taking taylor expansion of -2.0 in n 0.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.598 * [taylor]: Taking taylor expansion of PI in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.602 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.602 * [taylor]: Taking taylor expansion of -1 in n 0.602 * [taylor]: Taking taylor expansion of k in n 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.603 * [taylor]: Taking taylor expansion of 1.0 in k 0.603 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.603 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.603 * [taylor]: Taking taylor expansion of 0.5 in k 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of 1.0 in k 0.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.603 * [taylor]: Taking taylor expansion of -2.0 in k 0.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.603 * [taylor]: Taking taylor expansion of PI in k 0.603 * [taylor]: Taking taylor expansion of n in k 0.604 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.604 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.604 * [taylor]: Taking taylor expansion of -1 in k 0.604 * [taylor]: Taking taylor expansion of k in k 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.606 * [taylor]: Taking taylor expansion of 1.0 in k 0.606 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.606 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.606 * [taylor]: Taking taylor expansion of 0.5 in k 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.606 * [taylor]: Taking taylor expansion of k in k 0.606 * [taylor]: Taking taylor expansion of 1.0 in k 0.606 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.606 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.606 * [taylor]: Taking taylor expansion of -2.0 in k 0.606 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.606 * [taylor]: Taking taylor expansion of PI in k 0.606 * [taylor]: Taking taylor expansion of n in k 0.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.607 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.607 * [taylor]: Taking taylor expansion of -1 in k 0.607 * [taylor]: Taking taylor expansion of k in k 0.609 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.609 * [taylor]: Taking taylor expansion of +nan.0 in n 0.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.609 * [taylor]: Taking taylor expansion of 0.5 in n 0.609 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.609 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.609 * [taylor]: Taking taylor expansion of -2.0 in n 0.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.619 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.619 * [taylor]: Taking taylor expansion of +nan.0 in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.619 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.619 * [taylor]: Taking taylor expansion of -2.0 in n 0.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.646 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.646 * [taylor]: Taking taylor expansion of +nan.0 in n 0.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.646 * [taylor]: Taking taylor expansion of 0.5 in n 0.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.646 * [taylor]: Taking taylor expansion of k in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.646 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.646 * [taylor]: Taking taylor expansion of -2.0 in n 0.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.646 * [taylor]: Taking taylor expansion of PI in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.656 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.657 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (* n PI) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of PI in n 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (* n PI) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of PI in n 0.670 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.670 * [taylor]: Taking taylor expansion of 2.0 in n 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.670 * [taylor]: Taking taylor expansion of n in n 0.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.671 * [taylor]: Taking taylor expansion of 2.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.671 * [taylor]: Taking taylor expansion of PI in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.681 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.681 * [taylor]: Taking taylor expansion of -2.0 in n 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.681 * [taylor]: Taking taylor expansion of PI in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.682 * [taylor]: Taking taylor expansion of -2.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.682 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.691 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.691 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.691 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.691 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.692 * [taylor]: Taking taylor expansion of k in k 0.704 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.705 * [taylor]: Taking taylor expansion of 1.0 in k 0.705 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.705 * [taylor]: Taking taylor expansion of k in k 0.706 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.706 * [taylor]: Taking taylor expansion of 1.0 in k 0.706 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.706 * [taylor]: Taking taylor expansion of k in k 0.723 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.723 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.723 * [taylor]: Taking taylor expansion of 1.0 in k 0.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.723 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.723 * [taylor]: Taking taylor expansion of -1 in k 0.723 * [taylor]: Taking taylor expansion of k in k 0.725 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.725 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.725 * [taylor]: Taking taylor expansion of -1 in k 0.725 * [taylor]: Taking taylor expansion of k in k 0.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.739 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.739 * [taylor]: Taking taylor expansion of 0.5 in k 0.739 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.739 * [taylor]: Taking taylor expansion of 1.0 in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.739 * [taylor]: Taking taylor expansion of 2.0 in k 0.739 * [taylor]: Taking taylor expansion of (* n PI) in k 0.739 * [taylor]: Taking taylor expansion of n in k 0.739 * [taylor]: Taking taylor expansion of PI in k 0.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.741 * [taylor]: Taking taylor expansion of 0.5 in n 0.741 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.741 * [taylor]: Taking taylor expansion of 1.0 in n 0.741 * [taylor]: Taking taylor expansion of k in n 0.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.741 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.741 * [taylor]: Taking taylor expansion of 2.0 in n 0.741 * [taylor]: Taking taylor expansion of (* n PI) in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.741 * [taylor]: Taking taylor expansion of PI in n 0.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.747 * [taylor]: Taking taylor expansion of 0.5 in n 0.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.747 * [taylor]: Taking taylor expansion of 1.0 in n 0.747 * [taylor]: Taking taylor expansion of k in n 0.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.747 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.747 * [taylor]: Taking taylor expansion of 2.0 in n 0.747 * [taylor]: Taking taylor expansion of (* n PI) in n 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of PI in n 0.753 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.754 * [taylor]: Taking taylor expansion of 0.5 in k 0.754 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.754 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.754 * [taylor]: Taking taylor expansion of 1.0 in k 0.754 * [taylor]: Taking taylor expansion of k in k 0.754 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.754 * [taylor]: Taking taylor expansion of 2.0 in k 0.754 * [taylor]: Taking taylor expansion of PI in k 0.755 * [taylor]: Taking taylor expansion of (log n) in k 0.755 * [taylor]: Taking taylor expansion of n in k 0.765 * [taylor]: Taking taylor expansion of 0 in k 0.783 * [taylor]: Taking taylor expansion of 0 in k 0.810 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.810 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.811 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.811 * [taylor]: Taking taylor expansion of 0.5 in k 0.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.811 * [taylor]: Taking taylor expansion of 1.0 in k 0.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.811 * [taylor]: Taking taylor expansion of k in k 0.811 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.811 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.811 * [taylor]: Taking taylor expansion of 2.0 in k 0.811 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.811 * [taylor]: Taking taylor expansion of PI in k 0.811 * [taylor]: Taking taylor expansion of n in k 0.813 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.813 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.813 * [taylor]: Taking taylor expansion of 0.5 in n 0.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.813 * [taylor]: Taking taylor expansion of 1.0 in n 0.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.813 * [taylor]: Taking taylor expansion of k in n 0.813 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.813 * [taylor]: Taking taylor expansion of 2.0 in n 0.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.813 * [taylor]: Taking taylor expansion of PI in n 0.813 * [taylor]: Taking taylor expansion of n in n 0.817 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.817 * [taylor]: Taking taylor expansion of 0.5 in n 0.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.817 * [taylor]: Taking taylor expansion of 1.0 in n 0.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.817 * [taylor]: Taking taylor expansion of k in n 0.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.817 * [taylor]: Taking taylor expansion of 2.0 in n 0.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.817 * [taylor]: Taking taylor expansion of PI in n 0.817 * [taylor]: Taking taylor expansion of n in n 0.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.822 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.822 * [taylor]: Taking taylor expansion of 0.5 in k 0.822 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.822 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.822 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.822 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.822 * [taylor]: Taking taylor expansion of 2.0 in k 0.822 * [taylor]: Taking taylor expansion of PI in k 0.823 * [taylor]: Taking taylor expansion of (log n) in k 0.823 * [taylor]: Taking taylor expansion of n in k 0.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.823 * [taylor]: Taking taylor expansion of 1.0 in k 0.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.823 * [taylor]: Taking taylor expansion of k in k 0.835 * [taylor]: Taking taylor expansion of 0 in k 0.843 * [taylor]: Taking taylor expansion of 0 in k 0.854 * [taylor]: Taking taylor expansion of 0 in k 0.855 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.855 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.855 * [taylor]: Taking taylor expansion of 0.5 in k 0.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.855 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.855 * [taylor]: Taking taylor expansion of k in k 0.856 * [taylor]: Taking taylor expansion of 1.0 in k 0.856 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.856 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.856 * [taylor]: Taking taylor expansion of -2.0 in k 0.856 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.856 * [taylor]: Taking taylor expansion of PI in k 0.856 * [taylor]: Taking taylor expansion of n in k 0.857 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.857 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.857 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.857 * [taylor]: Taking taylor expansion of 0.5 in n 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.857 * [taylor]: Taking taylor expansion of k in n 0.857 * [taylor]: Taking taylor expansion of 1.0 in n 0.857 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.857 * [taylor]: Taking taylor expansion of -2.0 in n 0.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.861 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.861 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.861 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.861 * [taylor]: Taking taylor expansion of 0.5 in n 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.861 * [taylor]: Taking taylor expansion of k in n 0.861 * [taylor]: Taking taylor expansion of 1.0 in n 0.862 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.862 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.862 * [taylor]: Taking taylor expansion of -2.0 in n 0.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.866 * [taylor]: Taking taylor expansion of 0.5 in k 0.866 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.866 * [taylor]: Taking taylor expansion of k in k 0.866 * [taylor]: Taking taylor expansion of 1.0 in k 0.866 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.866 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.866 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.866 * [taylor]: Taking taylor expansion of -2.0 in k 0.866 * [taylor]: Taking taylor expansion of PI in k 0.868 * [taylor]: Taking taylor expansion of (log n) in k 0.868 * [taylor]: Taking taylor expansion of n in k 0.878 * [taylor]: Taking taylor expansion of 0 in k 0.886 * [taylor]: Taking taylor expansion of 0 in k 0.896 * [taylor]: Taking taylor expansion of 0 in k 0.897 * * * [progress]: simplifying candidates 0.908 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt 1)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 1) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) (cbrt 1.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (sqrt 2.0) (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (sqrt 2.0) (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (sqrt 2.0) (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (sqrt 2.0) (sqrt PI)) (sqrt 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))) (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))) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) 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+nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.925 * * [simplify]: iteration 0 : 1272 enodes (cost 2375 ) 0.951 * * [simplify]: iteration 1 : 5001 enodes (cost 2269 ) 0.964 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 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2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0)) (pow (cbrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (pow (sqrt (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt (* 2.0 PI)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (sqrt 2.0) (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (sqrt 2.0) (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow (* (cbrt (* 2.0 PI)) (cbrt (* 2.0 PI))) (/ (- 1.0 k) 2.0)) (pow (* (cbrt (* 2.0 PI)) n) (/ (- 1.0 k) 2.0)) (pow (sqrt (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt (* 2.0 PI)) n) (/ (- 1.0 k) 2.0)) 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (sqrt 2.0) (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* (* (sqrt 2.0) (sqrt PI)) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (cbrt PI) (cbrt PI))) (/ (- 1.0 k) 2.0)) (pow (* (cbrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (pow (* (* (cbrt 2.0) PI) n) (/ (- 1.0 k) 2.0)) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* (* (sqrt 2.0) PI) n) (/ (- 1.0 k) 2.0)) 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (* +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)) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)))) (fma +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.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)))))) (- (fma (* 0.25 (pow k 2)) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* 0.5 k) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.966 * * * [progress]: adding candidates to table 1.501 * * [progress]: iteration 2 / 4 1.502 * * * [progress]: picking best candidate 1.530 * * * * [pick]: Picked # 1.530 * * * [progress]: localizing error 1.554 * * * [progress]: generating rewritten candidates 1.554 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.555 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.557 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.562 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.658 * * * [progress]: generating series expansions 1.658 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.658 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.658 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.659 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 1.659 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.659 * [taylor]: Taking taylor expansion of n in n 1.659 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.659 * [taylor]: Taking taylor expansion of PI in n 1.660 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.660 * [taylor]: Taking taylor expansion of n in n 1.660 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.660 * [taylor]: Taking taylor expansion of PI in n 1.674 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 1.674 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.674 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.674 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.674 * [taylor]: Taking taylor expansion of PI in n 1.675 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.675 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.675 * [taylor]: Taking taylor expansion of n in n 1.676 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.676 * [taylor]: Taking taylor expansion of PI in n 1.690 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 1.690 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 1.690 * [taylor]: Taking taylor expansion of -1 in n 1.690 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.690 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.690 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.690 * [taylor]: Taking taylor expansion of PI in n 1.691 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 1.691 * [taylor]: Taking taylor expansion of -1 in n 1.691 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.691 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.691 * [taylor]: Taking taylor expansion of PI in n 1.719 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.721 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))))) in (k n) around 0 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))))) in n 1.721 * [taylor]: Taking taylor expansion of 1.0 in n 1.721 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in n 1.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.721 * [taylor]: Taking taylor expansion of k in n 1.721 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))) in n 1.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in n 1.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in n 1.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.721 * [taylor]: Taking taylor expansion of 0.5 in n 1.721 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.721 * [taylor]: Taking taylor expansion of 1.0 in n 1.721 * [taylor]: Taking taylor expansion of k in n 1.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.721 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.721 * [taylor]: Taking taylor expansion of 2.0 in n 1.721 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.726 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in n 1.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in n 1.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in n 1.726 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.726 * [taylor]: Taking taylor expansion of 0.5 in n 1.726 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.726 * [taylor]: Taking taylor expansion of 1.0 in n 1.726 * [taylor]: Taking taylor expansion of k in n 1.726 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 1.726 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.726 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.726 * [taylor]: Taking taylor expansion of PI in n 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))))) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in k 1.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))) in k 1.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in k 1.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in k 1.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.733 * [taylor]: Taking taylor expansion of 0.5 in k 1.733 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 1.734 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 1.734 * [taylor]: Taking taylor expansion of 2.0 in k 1.734 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.734 * [taylor]: Taking taylor expansion of PI in k 1.741 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in k 1.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in k 1.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.741 * [taylor]: Taking taylor expansion of 0.5 in k 1.741 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.741 * [taylor]: Taking taylor expansion of 1.0 in k 1.741 * [taylor]: Taking taylor expansion of k in k 1.741 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in k 1.741 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in k 1.741 * [taylor]: Taking taylor expansion of n in k 1.741 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.741 * [taylor]: Taking taylor expansion of PI in k 1.744 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))))) in k 1.745 * [taylor]: Taking taylor expansion of 1.0 in k 1.745 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in k 1.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.745 * [taylor]: Taking taylor expansion of k in k 1.746 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))) in k 1.746 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in k 1.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in k 1.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.747 * [taylor]: Taking taylor expansion of 0.5 in k 1.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.747 * [taylor]: Taking taylor expansion of 1.0 in k 1.747 * [taylor]: Taking taylor expansion of k in k 1.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 1.747 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 1.747 * [taylor]: Taking taylor expansion of 2.0 in k 1.747 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.747 * [taylor]: Taking taylor expansion of PI in k 1.754 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in k 1.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in k 1.754 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.754 * [taylor]: Taking taylor expansion of 0.5 in k 1.754 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.754 * [taylor]: Taking taylor expansion of 1.0 in k 1.754 * [taylor]: Taking taylor expansion of k in k 1.754 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in k 1.754 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in k 1.754 * [taylor]: Taking taylor expansion of n in k 1.754 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.754 * [taylor]: Taking taylor expansion of PI in k 1.760 * [taylor]: Taking taylor expansion of 0 in n 1.799 * [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 1.799 * [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 1.799 * [taylor]: Taking taylor expansion of +nan.0 in n 1.799 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.799 * [taylor]: Taking taylor expansion of 0.5 in n 1.799 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.799 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.799 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.799 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.799 * [taylor]: Taking taylor expansion of 1.0 in n 1.799 * [taylor]: Taking taylor expansion of (log PI) in n 1.799 * [taylor]: Taking taylor expansion of PI in n 1.801 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log n) in n 1.802 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.802 * [taylor]: Taking taylor expansion of 2.0 in n 1.875 * [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 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 1.875 * [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 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 1.875 * [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 1.875 * [taylor]: Taking taylor expansion of +nan.0 in n 1.875 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.875 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.875 * [taylor]: Taking taylor expansion of 0.5 in n 1.875 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.875 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.875 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.875 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.875 * [taylor]: Taking taylor expansion of 1.0 in n 1.875 * [taylor]: Taking taylor expansion of (log PI) in n 1.875 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.878 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.878 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [taylor]: Taking taylor expansion of (log n) in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.879 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.879 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.879 * [taylor]: Taking taylor expansion of 1.0 in n 1.879 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.879 * [taylor]: Taking taylor expansion of 2.0 in n 1.885 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 1.885 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.885 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.885 * [taylor]: Taking taylor expansion of +nan.0 in n 1.885 * [taylor]: Taking taylor expansion of (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.885 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 1.885 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.885 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.885 * [taylor]: Taking taylor expansion of PI in n 1.889 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.889 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.889 * [taylor]: Taking taylor expansion of 0.5 in n 1.889 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.889 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.889 * [taylor]: Taking taylor expansion of 1.0 in n 1.889 * [taylor]: Taking taylor expansion of (log PI) in n 1.889 * [taylor]: Taking taylor expansion of PI in n 1.891 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.891 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.891 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.891 * [taylor]: Taking taylor expansion of 1.0 in n 1.891 * [taylor]: Taking taylor expansion of (log n) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.892 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.892 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.892 * [taylor]: Taking taylor expansion of 1.0 in n 1.892 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.892 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.899 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.899 * [taylor]: Taking taylor expansion of +nan.0 in n 1.899 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.899 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.902 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.902 * [taylor]: Taking taylor expansion of 0.5 in n 1.902 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.902 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.902 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.902 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (log PI) in n 1.902 * [taylor]: Taking taylor expansion of PI in n 1.904 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.904 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.904 * [taylor]: Taking taylor expansion of 1.0 in n 1.904 * [taylor]: Taking taylor expansion of (log n) in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.905 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.905 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.905 * [taylor]: Taking taylor expansion of 1.0 in n 1.905 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.905 * [taylor]: Taking taylor expansion of 2.0 in n 2.082 * [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 (log (* n (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) in n 2.082 * [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 (log (* n (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) in n 2.082 * [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 2.082 * [taylor]: Taking taylor expansion of +nan.0 in n 2.082 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.082 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.083 * [taylor]: Taking taylor expansion of 0.5 in n 2.083 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.083 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.083 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.083 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.083 * [taylor]: Taking taylor expansion of 1.0 in n 2.083 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.083 * [taylor]: Taking taylor expansion of 2.0 in n 2.085 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.085 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.085 * [taylor]: Taking taylor expansion of 1.0 in n 2.085 * [taylor]: Taking taylor expansion of (log n) in n 2.085 * [taylor]: Taking taylor expansion of n in n 2.085 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.086 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.086 * [taylor]: Taking taylor expansion of 1.0 in n 2.086 * [taylor]: Taking taylor expansion of (log PI) in n 2.086 * [taylor]: Taking taylor expansion of PI in n 2.093 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* n (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) in n 2.093 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* n (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))) in n 2.093 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* n (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.093 * [taylor]: Taking taylor expansion of +nan.0 in n 2.093 * [taylor]: Taking taylor expansion of (* (pow (log (* n (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.093 * [taylor]: Taking taylor expansion of (pow (log (* n (sqrt PI))) 2) in n 2.093 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 2.093 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 2.093 * [taylor]: Taking taylor expansion of n in n 2.093 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.093 * [taylor]: Taking taylor expansion of PI in n 2.098 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.098 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.098 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.098 * [taylor]: Taking taylor expansion of 0.5 in n 2.098 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.098 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.098 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.098 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.098 * [taylor]: Taking taylor expansion of 1.0 in n 2.098 * [taylor]: Taking taylor expansion of (log PI) in n 2.098 * [taylor]: Taking taylor expansion of PI in n 2.100 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.100 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.100 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.100 * [taylor]: Taking taylor expansion of 1.0 in n 2.100 * [taylor]: Taking taylor expansion of (log n) in n 2.100 * [taylor]: Taking taylor expansion of n in n 2.101 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.101 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.101 * [taylor]: Taking taylor expansion of 1.0 in n 2.101 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.101 * [taylor]: Taking taylor expansion of 2.0 in n 2.107 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) in n 2.107 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) in n 2.107 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.107 * [taylor]: Taking taylor expansion of +nan.0 in n 2.107 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.107 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.107 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.107 * [taylor]: Taking taylor expansion of 2.0 in n 2.107 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.108 * [taylor]: Taking taylor expansion of PI in n 2.110 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.110 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.110 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.110 * [taylor]: Taking taylor expansion of 0.5 in n 2.110 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.110 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.110 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.110 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.110 * [taylor]: Taking taylor expansion of 1.0 in n 2.110 * [taylor]: Taking taylor expansion of (log PI) in n 2.110 * [taylor]: Taking taylor expansion of PI in n 2.113 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.113 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.113 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.113 * [taylor]: Taking taylor expansion of 1.0 in n 2.113 * [taylor]: Taking taylor expansion of (log n) in n 2.113 * [taylor]: Taking taylor expansion of n in n 2.113 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.113 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.113 * [taylor]: Taking taylor expansion of 1.0 in n 2.113 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.114 * [taylor]: Taking taylor expansion of 2.0 in n 2.120 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 2.120 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 2.120 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.120 * [taylor]: Taking taylor expansion of +nan.0 in n 2.120 * [taylor]: Taking taylor expansion of (* (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.120 * [taylor]: Taking taylor expansion of (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) in n 2.120 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 2.120 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 2.120 * [taylor]: Taking taylor expansion of n in n 2.120 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.120 * [taylor]: Taking taylor expansion of PI in n 2.123 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.124 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.124 * [taylor]: Taking taylor expansion of 2.0 in n 2.124 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.124 * [taylor]: Taking taylor expansion of PI in n 2.126 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.126 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.126 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.126 * [taylor]: Taking taylor expansion of 0.5 in n 2.126 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.126 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.126 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.126 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.126 * [taylor]: Taking taylor expansion of 1.0 in n 2.126 * [taylor]: Taking taylor expansion of (log PI) in n 2.126 * [taylor]: Taking taylor expansion of PI in n 2.128 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.129 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.129 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.129 * [taylor]: Taking taylor expansion of 1.0 in n 2.129 * [taylor]: Taking taylor expansion of (log n) in n 2.129 * [taylor]: Taking taylor expansion of n in n 2.129 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.129 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.129 * [taylor]: Taking taylor expansion of 1.0 in n 2.129 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.129 * [taylor]: Taking taylor expansion of 2.0 in n 2.135 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 2.135 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.135 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.136 * [taylor]: Taking taylor expansion of +nan.0 in n 2.136 * [taylor]: Taking taylor expansion of (* (log (* n (sqrt PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.136 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 2.136 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 2.136 * [taylor]: Taking taylor expansion of n in n 2.136 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.136 * [taylor]: Taking taylor expansion of PI in n 2.139 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.139 * [taylor]: Taking taylor expansion of 0.5 in n 2.139 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.139 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.139 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.139 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.139 * [taylor]: Taking taylor expansion of 1.0 in n 2.139 * [taylor]: Taking taylor expansion of (log PI) in n 2.139 * [taylor]: Taking taylor expansion of PI in n 2.141 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.141 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.141 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.141 * [taylor]: Taking taylor expansion of 1.0 in n 2.141 * [taylor]: Taking taylor expansion of (log n) in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.142 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.142 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.142 * [taylor]: Taking taylor expansion of 1.0 in n 2.142 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.142 * [taylor]: Taking taylor expansion of 2.0 in n 2.149 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.149 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.149 * [taylor]: Taking taylor expansion of +nan.0 in n 2.149 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (sqrt PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.149 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (sqrt PI))) 2) in n 2.149 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.149 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.149 * [taylor]: Taking taylor expansion of 2.0 in n 2.149 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.149 * [taylor]: Taking taylor expansion of PI in n 2.158 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.158 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.158 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.158 * [taylor]: Taking taylor expansion of 0.5 in n 2.158 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.158 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.158 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.158 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.158 * [taylor]: Taking taylor expansion of 1.0 in n 2.158 * [taylor]: Taking taylor expansion of (log PI) in n 2.158 * [taylor]: Taking taylor expansion of PI in n 2.161 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.161 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.161 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.161 * [taylor]: Taking taylor expansion of 1.0 in n 2.161 * [taylor]: Taking taylor expansion of (log n) in n 2.161 * [taylor]: Taking taylor expansion of n in n 2.161 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.161 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.161 * [taylor]: Taking taylor expansion of 1.0 in n 2.161 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.161 * [taylor]: Taking taylor expansion of 2.0 in n 2.413 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.413 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.413 * [taylor]: Taking taylor expansion of k in n 2.413 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in n 2.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in n 2.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.413 * [taylor]: Taking taylor expansion of 0.5 in n 2.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.413 * [taylor]: Taking taylor expansion of 1.0 in n 2.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.413 * [taylor]: Taking taylor expansion of k in n 2.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.413 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.413 * [taylor]: Taking taylor expansion of 2.0 in n 2.413 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.413 * [taylor]: Taking taylor expansion of PI in n 2.418 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in n 2.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in n 2.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.418 * [taylor]: Taking taylor expansion of 0.5 in n 2.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.418 * [taylor]: Taking taylor expansion of 1.0 in n 2.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.418 * [taylor]: Taking taylor expansion of k in n 2.418 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.418 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.418 * [taylor]: Taking taylor expansion of n in n 2.418 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.418 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.423 * [taylor]: Taking taylor expansion of 1.0 in k 2.423 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.423 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.424 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.424 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in k 2.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in k 2.424 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.424 * [taylor]: Taking taylor expansion of 0.5 in k 2.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.424 * [taylor]: Taking taylor expansion of 1.0 in k 2.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.424 * [taylor]: Taking taylor expansion of k in k 2.424 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.424 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.424 * [taylor]: Taking taylor expansion of 2.0 in k 2.424 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.424 * [taylor]: Taking taylor expansion of PI in k 2.430 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in k 2.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in k 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.430 * [taylor]: Taking taylor expansion of 0.5 in k 2.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.430 * [taylor]: Taking taylor expansion of 1.0 in k 2.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.431 * [taylor]: Taking taylor expansion of k in k 2.431 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in k 2.431 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.431 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.431 * [taylor]: Taking taylor expansion of n in k 2.431 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.431 * [taylor]: Taking taylor expansion of PI in k 2.434 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.434 * [taylor]: Taking taylor expansion of 1.0 in k 2.434 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.434 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.434 * [taylor]: Taking taylor expansion of k in k 2.435 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.435 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in k 2.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in k 2.435 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.435 * [taylor]: Taking taylor expansion of 0.5 in k 2.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.435 * [taylor]: Taking taylor expansion of 1.0 in k 2.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.435 * [taylor]: Taking taylor expansion of k in k 2.436 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.436 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.436 * [taylor]: Taking taylor expansion of 2.0 in k 2.436 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.436 * [taylor]: Taking taylor expansion of PI in k 2.441 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in k 2.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in k 2.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.442 * [taylor]: Taking taylor expansion of 0.5 in k 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.442 * [taylor]: Taking taylor expansion of 1.0 in k 2.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.442 * [taylor]: Taking taylor expansion of k in k 2.442 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in k 2.442 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.442 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.442 * [taylor]: Taking taylor expansion of n in k 2.442 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.442 * [taylor]: Taking taylor expansion of PI in k 2.448 * [taylor]: Taking taylor expansion of 0 in n 2.454 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))))))) in n 2.454 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))))) in n 2.454 * [taylor]: Taking taylor expansion of +nan.0 in n 2.454 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))))) in n 2.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.454 * [taylor]: Taking taylor expansion of 0.5 in n 2.454 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.454 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.454 * [taylor]: Taking taylor expansion of 2.0 in n 2.454 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.454 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.456 * [taylor]: Taking taylor expansion of k in n 2.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.460 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.460 * [taylor]: Taking taylor expansion of 0.5 in n 2.460 * [taylor]: Taking taylor expansion of (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.460 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.460 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.460 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.460 * [taylor]: Taking taylor expansion of n in n 2.460 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.460 * [taylor]: Taking taylor expansion of PI in n 2.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.462 * [taylor]: Taking taylor expansion of k in n 2.482 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))))))) in n 2.483 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))))) in n 2.483 * [taylor]: Taking taylor expansion of +nan.0 in n 2.483 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))))) in n 2.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.483 * [taylor]: Taking taylor expansion of 0.5 in n 2.483 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.483 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.483 * [taylor]: Taking taylor expansion of 2.0 in n 2.483 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.483 * [taylor]: Taking taylor expansion of PI in n 2.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.485 * [taylor]: Taking taylor expansion of 1.0 in n 2.485 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.485 * [taylor]: Taking taylor expansion of k in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.493 * [taylor]: Taking taylor expansion of 0.5 in n 2.493 * [taylor]: Taking taylor expansion of (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.493 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.493 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.493 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.493 * [taylor]: Taking taylor expansion of n in n 2.494 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.496 * [taylor]: Taking taylor expansion of 1.0 in n 2.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.496 * [taylor]: Taking taylor expansion of k in n 2.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))))))) in n 2.535 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))))) in n 2.535 * [taylor]: Taking taylor expansion of +nan.0 in n 2.535 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))))) in n 2.535 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.535 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.535 * [taylor]: Taking taylor expansion of 0.5 in n 2.535 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.535 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.535 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.535 * [taylor]: Taking taylor expansion of 2.0 in n 2.535 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.535 * [taylor]: Taking taylor expansion of PI in n 2.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.537 * [taylor]: Taking taylor expansion of 1.0 in n 2.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.537 * [taylor]: Taking taylor expansion of k in n 2.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.541 * [taylor]: Taking taylor expansion of 0.5 in n 2.541 * [taylor]: Taking taylor expansion of (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.541 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.541 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.541 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.541 * [taylor]: Taking taylor expansion of n in n 2.541 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.541 * [taylor]: Taking taylor expansion of PI in n 2.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.543 * [taylor]: Taking taylor expansion of 1.0 in n 2.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.543 * [taylor]: Taking taylor expansion of k in n 2.561 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.561 * [taylor]: Taking taylor expansion of (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.561 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.561 * [taylor]: Taking taylor expansion of 0.5 in n 2.561 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.561 * [taylor]: Taking taylor expansion of k in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.561 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.561 * [taylor]: Taking taylor expansion of -1 in n 2.561 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.561 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.561 * [taylor]: Taking taylor expansion of n in n 2.562 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.562 * [taylor]: Taking taylor expansion of PI in n 2.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in n 2.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in n 2.569 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.569 * [taylor]: Taking taylor expansion of 0.5 in n 2.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.569 * [taylor]: Taking taylor expansion of k in n 2.569 * [taylor]: Taking taylor expansion of 1.0 in n 2.569 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.569 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.569 * [taylor]: Taking taylor expansion of 2.0 in n 2.569 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.569 * [taylor]: Taking taylor expansion of PI in n 2.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.579 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.579 * [taylor]: Taking taylor expansion of -1 in n 2.579 * [taylor]: Taking taylor expansion of k in n 2.584 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.584 * [taylor]: Taking taylor expansion of 1.0 in k 2.584 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.584 * [taylor]: Taking taylor expansion of (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.584 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in k 2.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in k 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.584 * [taylor]: Taking taylor expansion of 0.5 in k 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.584 * [taylor]: Taking taylor expansion of k in k 2.584 * [taylor]: Taking taylor expansion of 1.0 in k 2.584 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in k 2.584 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in k 2.584 * [taylor]: Taking taylor expansion of -1 in k 2.584 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.584 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.584 * [taylor]: Taking taylor expansion of n in k 2.585 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.585 * [taylor]: Taking taylor expansion of PI in k 2.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in k 2.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in k 2.588 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.588 * [taylor]: Taking taylor expansion of 0.5 in k 2.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.588 * [taylor]: Taking taylor expansion of k in k 2.588 * [taylor]: Taking taylor expansion of 1.0 in k 2.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.588 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.588 * [taylor]: Taking taylor expansion of 2.0 in k 2.588 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.588 * [taylor]: Taking taylor expansion of PI in k 2.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.594 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.594 * [taylor]: Taking taylor expansion of -1 in k 2.594 * [taylor]: Taking taylor expansion of k in k 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.598 * [taylor]: Taking taylor expansion of 1.0 in k 2.598 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.598 * [taylor]: Taking taylor expansion of (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.598 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in k 2.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in k 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.598 * [taylor]: Taking taylor expansion of 0.5 in k 2.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.598 * [taylor]: Taking taylor expansion of k in k 2.599 * [taylor]: Taking taylor expansion of 1.0 in k 2.599 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in k 2.599 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in k 2.599 * [taylor]: Taking taylor expansion of -1 in k 2.599 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.599 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.599 * [taylor]: Taking taylor expansion of n in k 2.599 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.599 * [taylor]: Taking taylor expansion of PI in k 2.602 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in k 2.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in k 2.602 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.602 * [taylor]: Taking taylor expansion of 0.5 in k 2.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.602 * [taylor]: Taking taylor expansion of k in k 2.602 * [taylor]: Taking taylor expansion of 1.0 in k 2.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.602 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.602 * [taylor]: Taking taylor expansion of 2.0 in k 2.602 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.602 * [taylor]: Taking taylor expansion of PI in k 2.608 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.608 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.608 * [taylor]: Taking taylor expansion of -1 in k 2.608 * [taylor]: Taking taylor expansion of k in k 2.614 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))))) in n 2.614 * [taylor]: Taking taylor expansion of +nan.0 in n 2.614 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))))) in n 2.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in n 2.614 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in n 2.614 * [taylor]: Taking taylor expansion of 0.5 in n 2.614 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in n 2.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.614 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.614 * [taylor]: Taking taylor expansion of 2.0 in n 2.614 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.614 * [taylor]: Taking taylor expansion of PI in n 2.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.617 * [taylor]: Taking taylor expansion of k in n 2.617 * [taylor]: Taking taylor expansion of 1.0 in n 2.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))) in n 2.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.620 * [taylor]: Taking taylor expansion of 0.5 in n 2.620 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.620 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.620 * [taylor]: Taking taylor expansion of k in n 2.620 * [taylor]: Taking taylor expansion of 1.0 in n 2.620 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.620 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.620 * [taylor]: Taking taylor expansion of -1 in n 2.621 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.621 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.621 * [taylor]: Taking taylor expansion of n in n 2.621 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.621 * [taylor]: Taking taylor expansion of PI in n 2.645 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))))))) in n 2.645 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))))) in n 2.645 * [taylor]: Taking taylor expansion of +nan.0 in n 2.645 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))))) in n 2.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in n 2.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in n 2.645 * [taylor]: Taking taylor expansion of 0.5 in n 2.645 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in n 2.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.645 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.645 * [taylor]: Taking taylor expansion of 2.0 in n 2.645 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.647 * [taylor]: Taking taylor expansion of k in n 2.647 * [taylor]: Taking taylor expansion of 1.0 in n 2.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))) in n 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.651 * [taylor]: Taking taylor expansion of 0.5 in n 2.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.651 * [taylor]: Taking taylor expansion of k in n 2.651 * [taylor]: Taking taylor expansion of 1.0 in n 2.651 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.651 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.651 * [taylor]: Taking taylor expansion of -1 in n 2.651 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.651 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.651 * [taylor]: Taking taylor expansion of n in n 2.652 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.652 * [taylor]: Taking taylor expansion of PI in n 2.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))))))) in n 2.706 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))))) in n 2.706 * [taylor]: Taking taylor expansion of +nan.0 in n 2.706 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))))) in n 2.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in n 2.706 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in n 2.706 * [taylor]: Taking taylor expansion of 0.5 in n 2.707 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in n 2.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.707 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.707 * [taylor]: Taking taylor expansion of 2.0 in n 2.707 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.707 * [taylor]: Taking taylor expansion of PI in n 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.709 * [taylor]: Taking taylor expansion of k in n 2.709 * [taylor]: Taking taylor expansion of 1.0 in n 2.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))) in n 2.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.712 * [taylor]: Taking taylor expansion of 0.5 in n 2.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.713 * [taylor]: Taking taylor expansion of k in n 2.713 * [taylor]: Taking taylor expansion of 1.0 in n 2.713 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.713 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.713 * [taylor]: Taking taylor expansion of -1 in n 2.713 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.713 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.713 * [taylor]: Taking taylor expansion of n in n 2.713 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.713 * [taylor]: Taking taylor expansion of PI in n 2.743 * * * [progress]: simplifying candidates 2.749 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) n)) (log1p (* (sqrt PI) n)) (* (sqrt PI) n) (+ (log (sqrt PI)) (log n)) (log (* (sqrt PI) n)) (exp (* (sqrt PI) n)) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* n n) n)) (* (cbrt (* (sqrt PI) n)) (cbrt (* (sqrt PI) n))) (cbrt (* (sqrt PI) n)) (* (* (* (sqrt PI) n) (* (sqrt PI) n)) (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt PI) (* (cbrt n) (cbrt n))) (* (sqrt PI) (sqrt n)) (* (sqrt PI) 1) (* (cbrt (sqrt PI)) n) (* (sqrt (cbrt PI)) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (expm1 (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (log (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (* (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (- 1.0) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (- (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* 1 (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (/ (sqrt k) 1.0) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (cbrt (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (sqrt (cbrt k)) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (sqrt (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (/ 1.0 (sqrt 1)) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (sqrt (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (/ 1.0 1) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 (sqrt PI)) (/ k 2.0))) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (sqrt PI)) 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(sqrt k) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) (cbrt 1.0)) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* (sqrt 1.0) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) (sqrt 1.0)) (pow (* (sqrt PI) n) (/ k 2.0))) (* (* 1 (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* (sqrt PI) n) (/ k 2.0))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (pow (sqrt (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (pow (sqrt (* (sqrt PI) n)) (/ (- 1.0 k) 2.0))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (pow (* (sqrt (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (pow (* (sqrt (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 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(- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (/ 1.0 (sqrt k)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* 1.0 (* (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (- 1.0) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (* (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (* 1.0 (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (fabs (cbrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (* (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (* (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (sqrt 1.0) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (* (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (- 1.0) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (* 1.0 (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (* (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (* (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (* (sqrt 1.0) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (* (sqrt PI) n) (* (sqrt PI) n) (* (sqrt PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 (sqrt PI))) (log (sqrt PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 (sqrt PI))) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 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 (* (* (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 (* (* (pow k 2) (log (sqrt PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (* (pow k 2) (* (log (sqrt PI)) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 (sqrt PI))) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log (sqrt PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 (sqrt PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (log (sqrt PI))) (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))) 0.5)) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 (sqrt PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))) (+ (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (sqrt PI)) (log (/ 1 n))))))) (pow k 2)))) (- (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) (* 0.5 (* (- 1.0 k) (- (log (sqrt PI)) (log (/ 1 n)))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) (* 0.5 (* (- 1.0 k) (- (log (sqrt PI)) (log (/ 1 n)))))))) (pow k 3)))) (+ (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n))))))) k))) (fma (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n))))))) (pow k 2)) +nan.0 (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n)))))))))) 2.828 * * * [progress]: adding candidates to table 3.746 * * [progress]: iteration 3 / 4 3.746 * * * [progress]: picking best candidate 3.775 * * * * [pick]: Picked # 3.775 * * * [progress]: localizing error 3.794 * * * [progress]: generating rewritten candidates 3.794 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 3.796 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 3.800 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.805 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.921 * * * [progress]: generating series expansions 3.921 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 3.921 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 3.921 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.922 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 3.922 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 3.922 * [taylor]: Taking taylor expansion of n in n 3.922 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.922 * [taylor]: Taking taylor expansion of PI in n 3.923 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 3.923 * [taylor]: Taking taylor expansion of n in n 3.923 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.923 * [taylor]: Taking taylor expansion of PI in n 3.937 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 3.937 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.937 * [taylor]: Taking taylor expansion of n in n 3.937 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.937 * [taylor]: Taking taylor expansion of PI in n 3.938 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.938 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.938 * [taylor]: Taking taylor expansion of n in n 3.938 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.938 * [taylor]: Taking taylor expansion of PI in n 3.958 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 3.958 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 3.958 * [taylor]: Taking taylor expansion of -1 in n 3.959 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.959 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.959 * [taylor]: Taking taylor expansion of n in n 3.959 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.959 * [taylor]: Taking taylor expansion of PI in n 3.960 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 3.960 * [taylor]: Taking taylor expansion of -1 in n 3.960 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.960 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.960 * [taylor]: Taking taylor expansion of n in n 3.960 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.960 * [taylor]: Taking taylor expansion of PI in n 3.982 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.983 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in (n k) around 0 3.984 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in k 3.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.984 * [taylor]: Taking taylor expansion of k in k 3.985 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))) in k 3.985 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in k 3.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in k 3.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in k 3.985 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.985 * [taylor]: Taking taylor expansion of 0.5 in k 3.985 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.985 * [taylor]: Taking taylor expansion of 1.0 in k 3.985 * [taylor]: Taking taylor expansion of k in k 3.985 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 3.985 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 3.985 * [taylor]: Taking taylor expansion of 2.0 in k 3.985 * [taylor]: Taking taylor expansion of (sqrt PI) in k 3.985 * [taylor]: Taking taylor expansion of PI in k 3.992 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in k 3.993 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in k 3.993 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in k 3.993 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.993 * [taylor]: Taking taylor expansion of 0.5 in k 3.993 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.993 * [taylor]: Taking taylor expansion of 1.0 in k 3.993 * [taylor]: Taking taylor expansion of k in k 3.993 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in k 3.993 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in k 3.993 * [taylor]: Taking taylor expansion of n in k 3.993 * [taylor]: Taking taylor expansion of (sqrt PI) in k 3.993 * [taylor]: Taking taylor expansion of PI in k 3.996 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in n 3.996 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.996 * [taylor]: Taking taylor expansion of k in n 3.996 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))) in n 3.996 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in n 3.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in n 3.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in n 3.996 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.996 * [taylor]: Taking taylor expansion of 0.5 in n 3.996 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.996 * [taylor]: Taking taylor expansion of 1.0 in n 3.996 * [taylor]: Taking taylor expansion of k in n 3.996 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 3.996 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 3.996 * [taylor]: Taking taylor expansion of 2.0 in n 3.996 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.996 * [taylor]: Taking taylor expansion of PI in n 4.001 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in n 4.001 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in n 4.001 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in n 4.001 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.001 * [taylor]: Taking taylor expansion of 0.5 in n 4.001 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.001 * [taylor]: Taking taylor expansion of 1.0 in n 4.001 * [taylor]: Taking taylor expansion of k in n 4.001 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 4.001 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 4.001 * [taylor]: Taking taylor expansion of n in n 4.001 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.001 * [taylor]: Taking taylor expansion of PI in n 4.007 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))))) in n 4.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.007 * [taylor]: Taking taylor expansion of k in n 4.007 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k)))) in n 4.007 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in n 4.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in n 4.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in n 4.007 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.007 * [taylor]: Taking taylor expansion of 0.5 in n 4.007 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.007 * [taylor]: Taking taylor expansion of 1.0 in n 4.007 * [taylor]: Taking taylor expansion of k in n 4.007 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.007 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.007 * [taylor]: Taking taylor expansion of 2.0 in n 4.007 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.007 * [taylor]: Taking taylor expansion of PI in n 4.012 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in n 4.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in n 4.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in n 4.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.012 * [taylor]: Taking taylor expansion of 0.5 in n 4.013 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.013 * [taylor]: Taking taylor expansion of 1.0 in n 4.013 * [taylor]: Taking taylor expansion of k in n 4.013 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 4.013 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 4.013 * [taylor]: Taking taylor expansion of n in n 4.013 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.013 * [taylor]: Taking taylor expansion of PI in n 4.022 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (sqrt PI)) (log n))))))) in k 4.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.022 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.022 * [taylor]: Taking taylor expansion of k in k 4.024 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (sqrt PI)) (log n)))))) in k 4.024 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) in k 4.024 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) in k 4.024 * [taylor]: Taking taylor expansion of 0.5 in k 4.024 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log (* 2.0 (sqrt PI)))) in k 4.024 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.024 * [taylor]: Taking taylor expansion of 1.0 in k 4.024 * [taylor]: Taking taylor expansion of k in k 4.024 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.024 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.024 * [taylor]: Taking taylor expansion of 2.0 in k 4.024 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.024 * [taylor]: Taking taylor expansion of PI in k 4.036 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (sqrt PI)) (log n))))) in k 4.036 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (sqrt PI)) (log n)))) in k 4.036 * [taylor]: Taking taylor expansion of 0.5 in k 4.036 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (sqrt PI)) (log n))) in k 4.036 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.036 * [taylor]: Taking taylor expansion of 1.0 in k 4.036 * [taylor]: Taking taylor expansion of k in k 4.036 * [taylor]: Taking taylor expansion of (+ (log (sqrt PI)) (log n)) in k 4.036 * [taylor]: Taking taylor expansion of (log (sqrt PI)) in k 4.036 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.036 * [taylor]: Taking taylor expansion of PI in k 4.038 * [taylor]: Taking taylor expansion of (log n) in k 4.038 * [taylor]: Taking taylor expansion of n in k 4.059 * [taylor]: Taking taylor expansion of 0 in k 4.130 * [taylor]: Taking taylor expansion of 0 in k 4.259 * [taylor]: Taking taylor expansion of 0 in k 4.536 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.536 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.536 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.536 * [taylor]: Taking taylor expansion of k in k 4.537 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in k 4.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in k 4.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.537 * [taylor]: Taking taylor expansion of 0.5 in k 4.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.537 * [taylor]: Taking taylor expansion of 1.0 in k 4.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.537 * [taylor]: Taking taylor expansion of k in k 4.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.538 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.538 * [taylor]: Taking taylor expansion of 2.0 in k 4.538 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.538 * [taylor]: Taking taylor expansion of PI in k 4.543 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in k 4.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in k 4.543 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.544 * [taylor]: Taking taylor expansion of 0.5 in k 4.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.544 * [taylor]: Taking taylor expansion of 1.0 in k 4.544 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.544 * [taylor]: Taking taylor expansion of k in k 4.544 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in k 4.544 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 4.544 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.544 * [taylor]: Taking taylor expansion of n in k 4.544 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.544 * [taylor]: Taking taylor expansion of PI in k 4.547 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.547 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.547 * [taylor]: Taking taylor expansion of k in n 4.547 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in n 4.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in n 4.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.547 * [taylor]: Taking taylor expansion of 0.5 in n 4.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.547 * [taylor]: Taking taylor expansion of 1.0 in n 4.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.547 * [taylor]: Taking taylor expansion of k in n 4.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.547 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.547 * [taylor]: Taking taylor expansion of 2.0 in n 4.547 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.547 * [taylor]: Taking taylor expansion of PI in n 4.552 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in n 4.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in n 4.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.552 * [taylor]: Taking taylor expansion of 0.5 in n 4.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.553 * [taylor]: Taking taylor expansion of 1.0 in n 4.553 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.553 * [taylor]: Taking taylor expansion of k in n 4.553 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 4.553 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.553 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.553 * [taylor]: Taking taylor expansion of n in n 4.553 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.553 * [taylor]: Taking taylor expansion of PI in n 4.558 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.558 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.558 * [taylor]: Taking taylor expansion of k in n 4.558 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in n 4.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in n 4.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.558 * [taylor]: Taking taylor expansion of 0.5 in n 4.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.558 * [taylor]: Taking taylor expansion of 1.0 in n 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.558 * [taylor]: Taking taylor expansion of k in n 4.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.558 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.558 * [taylor]: Taking taylor expansion of 2.0 in n 4.558 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.558 * [taylor]: Taking taylor expansion of PI in n 4.564 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in n 4.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in n 4.564 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.564 * [taylor]: Taking taylor expansion of 0.5 in n 4.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.564 * [taylor]: Taking taylor expansion of 1.0 in n 4.564 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.564 * [taylor]: Taking taylor expansion of k in n 4.564 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 4.564 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.564 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.564 * [taylor]: Taking taylor expansion of n in n 4.564 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.564 * [taylor]: Taking taylor expansion of PI in n 4.572 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.572 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.572 * [taylor]: Taking taylor expansion of k in k 4.574 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in k 4.574 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in k 4.574 * [taylor]: Taking taylor expansion of 0.5 in k 4.574 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in k 4.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.574 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.574 * [taylor]: Taking taylor expansion of 2.0 in k 4.574 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.574 * [taylor]: Taking taylor expansion of PI in k 4.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.576 * [taylor]: Taking taylor expansion of 1.0 in k 4.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.576 * [taylor]: Taking taylor expansion of k in k 4.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.582 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.582 * [taylor]: Taking taylor expansion of 0.5 in k 4.582 * [taylor]: Taking taylor expansion of (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.582 * [taylor]: Taking taylor expansion of (- (log (sqrt PI)) (log n)) in k 4.582 * [taylor]: Taking taylor expansion of (log (sqrt PI)) in k 4.582 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.582 * [taylor]: Taking taylor expansion of PI in k 4.583 * [taylor]: Taking taylor expansion of (log n) in k 4.583 * [taylor]: Taking taylor expansion of n in k 4.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.584 * [taylor]: Taking taylor expansion of 1.0 in k 4.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.584 * [taylor]: Taking taylor expansion of k in k 4.609 * [taylor]: Taking taylor expansion of 0 in k 4.636 * [taylor]: Taking taylor expansion of 0 in k 4.669 * [taylor]: Taking taylor expansion of 0 in k 4.691 * [approximate]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (n k) around 0 4.691 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.691 * [taylor]: Taking taylor expansion of (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.691 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in k 4.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in k 4.691 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.691 * [taylor]: Taking taylor expansion of 0.5 in k 4.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.691 * [taylor]: Taking taylor expansion of k in k 4.692 * [taylor]: Taking taylor expansion of 1.0 in k 4.692 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in k 4.692 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in k 4.692 * [taylor]: Taking taylor expansion of -1 in k 4.692 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 4.692 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.692 * [taylor]: Taking taylor expansion of n in k 4.692 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.692 * [taylor]: Taking taylor expansion of PI in k 4.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in k 4.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in k 4.695 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.695 * [taylor]: Taking taylor expansion of 0.5 in k 4.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.695 * [taylor]: Taking taylor expansion of k in k 4.696 * [taylor]: Taking taylor expansion of 1.0 in k 4.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.696 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.696 * [taylor]: Taking taylor expansion of 2.0 in k 4.696 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.696 * [taylor]: Taking taylor expansion of PI in k 4.701 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.701 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.701 * [taylor]: Taking taylor expansion of -1 in k 4.701 * [taylor]: Taking taylor expansion of k in k 4.707 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 4.707 * [taylor]: Taking taylor expansion of (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.707 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 4.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 4.707 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.707 * [taylor]: Taking taylor expansion of 0.5 in n 4.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.707 * [taylor]: Taking taylor expansion of k in n 4.707 * [taylor]: Taking taylor expansion of 1.0 in n 4.707 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 4.707 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 4.707 * [taylor]: Taking taylor expansion of -1 in n 4.707 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.707 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.707 * [taylor]: Taking taylor expansion of n in n 4.707 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.707 * [taylor]: Taking taylor expansion of PI in n 4.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in n 4.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in n 4.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.715 * [taylor]: Taking taylor expansion of 0.5 in n 4.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.715 * [taylor]: Taking taylor expansion of k in n 4.715 * [taylor]: Taking taylor expansion of 1.0 in n 4.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.715 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.715 * [taylor]: Taking taylor expansion of 2.0 in n 4.715 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.715 * [taylor]: Taking taylor expansion of PI in n 4.719 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.720 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.720 * [taylor]: Taking taylor expansion of -1 in n 4.720 * [taylor]: Taking taylor expansion of k in n 4.724 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 4.725 * [taylor]: Taking taylor expansion of (* (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.725 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 4.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 4.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.725 * [taylor]: Taking taylor expansion of 0.5 in n 4.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.725 * [taylor]: Taking taylor expansion of k in n 4.725 * [taylor]: Taking taylor expansion of 1.0 in n 4.725 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 4.725 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 4.725 * [taylor]: Taking taylor expansion of -1 in n 4.725 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.725 * [taylor]: Taking taylor expansion of n in n 4.725 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.725 * [taylor]: Taking taylor expansion of PI in n 4.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in n 4.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in n 4.732 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.732 * [taylor]: Taking taylor expansion of 0.5 in n 4.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.732 * [taylor]: Taking taylor expansion of k in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.732 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.732 * [taylor]: Taking taylor expansion of 2.0 in n 4.732 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.732 * [taylor]: Taking taylor expansion of PI in n 4.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.737 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.737 * [taylor]: Taking taylor expansion of -1 in n 4.737 * [taylor]: Taking taylor expansion of k in n 4.743 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n)))))) (sqrt (/ -1 k))) in k 4.743 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n)))))) in k 4.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in k 4.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in k 4.743 * [taylor]: Taking taylor expansion of 0.5 in k 4.743 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in k 4.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.743 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.743 * [taylor]: Taking taylor expansion of 2.0 in k 4.743 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.743 * [taylor]: Taking taylor expansion of PI in k 4.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.745 * [taylor]: Taking taylor expansion of k in k 4.746 * [taylor]: Taking taylor expansion of 1.0 in k 4.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n))))) in k 4.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n)))) in k 4.750 * [taylor]: Taking taylor expansion of 0.5 in k 4.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n))) in k 4.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.751 * [taylor]: Taking taylor expansion of k in k 4.751 * [taylor]: Taking taylor expansion of 1.0 in k 4.751 * [taylor]: Taking taylor expansion of (- (log (* -1 (sqrt PI))) (log n)) in k 4.751 * [taylor]: Taking taylor expansion of (log (* -1 (sqrt PI))) in k 4.751 * [taylor]: Taking taylor expansion of (* -1 (sqrt PI)) in k 4.751 * [taylor]: Taking taylor expansion of -1 in k 4.751 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.751 * [taylor]: Taking taylor expansion of PI in k 4.753 * [taylor]: Taking taylor expansion of (log n) in k 4.753 * [taylor]: Taking taylor expansion of n in k 4.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.759 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.759 * [taylor]: Taking taylor expansion of -1 in k 4.759 * [taylor]: Taking taylor expansion of k in k 4.789 * [taylor]: Taking taylor expansion of 0 in k 4.823 * [taylor]: Taking taylor expansion of 0 in k 4.845 * * * [progress]: simplifying candidates 4.858 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) n)) (log1p (* (sqrt PI) n)) (* (sqrt PI) n) (+ (log (sqrt PI)) (log n)) (log (* (sqrt PI) n)) (exp (* (sqrt PI) n)) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* n n) n)) (* (cbrt (* (sqrt PI) n)) (cbrt (* (sqrt PI) n))) (cbrt (* (sqrt PI) n)) (* (* (* (sqrt PI) n) (* (sqrt PI) n)) (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt PI) (* (cbrt n) (cbrt n))) (* (sqrt PI) (sqrt n)) (* (sqrt PI) 1) (* (cbrt (sqrt PI)) n) (* (sqrt (cbrt PI)) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (expm1 (* 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k)) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n))))))) (pow k 2))) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n))))))))))))) 4.886 * * [simplify]: iteration 0 : 1621 enodes (cost 5977 ) 4.916 * * [simplify]: iteration 1 : 5002 enodes (cost 5822 ) 4.942 * [simplify]: Simplified to: (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) 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(sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (fabs (cbrt k))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) 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(pow (* (sqrt (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt (sqrt PI)) (sqrt n)) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (cbrt n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow n (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (cbrt (sqrt PI)) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt (cbrt PI)) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt (sqrt PI)) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt (sqrt PI)) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (cbrt (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (sqrt (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (- (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (pow (* (sqrt PI) n) (/ (- 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(* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (sqrt (* (cbrt PI) (cbrt PI)))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (sqrt (sqrt PI))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (sqrt (sqrt PI))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (sqrt PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ 1.0 2.0))) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* 1.0 (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* 1.0 (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (sqrt PI) n) (* (sqrt PI) n) (* (sqrt PI) n) (+ (* (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 (sqrt PI)))) (pow (exp 0.5) (log (* (sqrt PI) n)))))) (* (pow (pow PI 1.0) 0.25) (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (* (* k (exp (* 0.5 (+ (log (sqrt PI)) (log n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25)))) (- (* +nan.0 (* (* (pow k 2) (* (log (sqrt PI)) (* (log n) (exp (* 0.5 (+ (log (sqrt PI)) (log n))))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25)))) (- (* (* +nan.0 (* (* (pow k 2) (log n)) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25))) (- (* (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25))) (- (* (* +nan.0 (* (* k (log (sqrt PI))) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow PI 1.0) 0.25) (pow (pow 2.0 1.0) 0.5))) (- (* (* +nan.0 (* (* k (log (* 2.0 (sqrt PI)))) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 (sqrt PI))) (* (log (sqrt PI)) (exp (* 0.5 (+ (log (sqrt PI)) (log n))))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25)))) (- (* +nan.0 (* (* (pow k 2) (exp (* 0.5 (+ (log (sqrt PI)) (log n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25)))) (- (* (* +nan.0 (* (* k (log n)) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25))) (- (* (* +nan.0 (pow (exp 0.5) (log (* (sqrt PI) n)))) (* (pow (pow PI 1.0) 0.25) (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 (sqrt PI))) (* (log n) (exp (* 0.5 (+ (log (sqrt PI)) (log n))))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25)))) (- (* (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 (sqrt PI))) 2)) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow PI 1.0) 0.25) (pow (pow 2.0 1.0) 0.5))) (- (* (* +nan.0 (* (* (pow k 2) (pow (log (sqrt PI)) 2)) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow PI 1.0) 0.25) (pow (pow 2.0 1.0) 0.5))) (* (* +nan.0 (* (* (pow k 2) (log (sqrt PI))) (pow (exp 0.5) (log (* (sqrt PI) n))))) (* (pow (pow 2.0 1.0) 0.5) (pow (pow PI 1.0) 0.25))))))))))))))))) (+ (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (sqrt PI)) (log (/ 1 n))))))) (pow k 2)))) (- (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) (* 0.5 (* (- 1.0 k) (- (log (sqrt PI)) (log (/ 1 n)))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) (* 0.5 (* (- 1.0 k) (- (log (sqrt PI)) (log (/ 1 n)))))))) (pow k 3)))) (+ (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n))))))) k))) (fma (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n))))))) (pow k 2)) +nan.0 (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) (* 0.5 (* (- 1.0 k) (- (log (* -1 (sqrt PI))) (log (/ -1 n)))))))))) 4.946 * * * [progress]: adding candidates to table 5.705 * * [progress]: iteration 4 / 4 5.705 * * * [progress]: picking best candidate 5.733 * * * * [pick]: Picked # 5.733 * * * [progress]: localizing error 5.760 * * * [progress]: generating rewritten candidates 5.761 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.762 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2) 5.764 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 5.766 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 5.772 * * * [progress]: generating series expansions 5.772 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.772 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) 5.772 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 5.772 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 5.773 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 5.773 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 5.773 * [taylor]: Taking taylor expansion of n in n 5.773 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.773 * [taylor]: Taking taylor expansion of PI in n 5.774 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 5.774 * [taylor]: Taking taylor expansion of n in n 5.774 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.774 * [taylor]: Taking taylor expansion of PI in n 5.788 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 5.788 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.788 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.788 * [taylor]: Taking taylor expansion of n in n 5.789 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.789 * [taylor]: Taking taylor expansion of PI in n 5.789 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.789 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.789 * [taylor]: Taking taylor expansion of n in n 5.790 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.790 * [taylor]: Taking taylor expansion of PI in n 5.804 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 5.804 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 5.804 * [taylor]: Taking taylor expansion of -1 in n 5.804 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.804 * [taylor]: Taking taylor expansion of n in n 5.804 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.804 * [taylor]: Taking taylor expansion of PI in n 5.805 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 5.805 * [taylor]: Taking taylor expansion of -1 in n 5.805 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.805 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.805 * [taylor]: Taking taylor expansion of n in n 5.805 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.805 * [taylor]: Taking taylor expansion of PI in n 5.828 * * * [progress]: simplifying candidates 5.829 * [simplify]: Simplifying using # : (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) n)) (log1p (* (sqrt PI) n)) (* (sqrt PI) n) (+ (log (sqrt PI)) (log n)) (log (* (sqrt PI) n)) (exp (* (sqrt PI) n)) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* n n) n)) (* (cbrt (* (sqrt PI) n)) (cbrt (* (sqrt PI) n))) (cbrt (* (sqrt PI) n)) (* (* (* (sqrt PI) n) (* (sqrt PI) n)) (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt PI) (* (cbrt n) (cbrt n))) (* (sqrt PI) (sqrt n)) (* (sqrt PI) 1) (* (cbrt (sqrt PI)) n) (* (sqrt (cbrt PI)) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* n (sqrt PI)) (* n (sqrt PI)) (* n (sqrt PI)) 5.833 * * [simplify]: iteration 0 : 101 enodes (cost 219 ) 5.836 * * [simplify]: iteration 1 : 302 enodes (cost 215 ) 5.842 * * [simplify]: iteration 2 : 726 enodes (cost 212 ) 5.852 * * [simplify]: iteration 3 : 1724 enodes (cost 212 ) 5.882 * * [simplify]: iteration 4 : 5002 enodes (cost 212 ) 5.885 * [simplify]: Simplified to: (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) n)) (log1p (* (sqrt PI) n)) (* (sqrt PI) n) (log (* (sqrt PI) n)) (log (* (sqrt PI) n)) (exp (* (sqrt PI) n)) (pow (* (sqrt PI) n) 3) (* (cbrt (* (sqrt PI) n)) (cbrt (* (sqrt PI) n))) (cbrt (* (sqrt PI) n)) (pow (* (sqrt PI) n) 3) (sqrt (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt PI) (* (cbrt n) (cbrt n))) (* (sqrt PI) (sqrt n)) (sqrt PI) (* (cbrt (sqrt PI)) n) (* (sqrt (cbrt PI)) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (* (sqrt (sqrt PI)) n) (* (sqrt PI) n) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow (* (sqrt PI) n) (/ 1.0 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (sqrt PI) n) (* (sqrt PI) n) (* (sqrt PI) n) 5.885 * * * [progress]: adding candidates to table 6.105 * [progress]: [Phase 3 of 3] Extracting. 6.105 * * [regime]: Finding splitpoints for: (# # # # # # #) 6.108 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.108 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 6.145 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 6.182 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 6.216 * * * [regime]: Found split indices: #