11.269 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.137 * * * [progress]: [2/2] Setting up program. 0.140 * [progress]: [Phase 2 of 3] Improving. 0.140 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.142 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.144 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.145 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.148 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.154 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.180 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.180 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.180 * * [progress]: iteration 1 / 4 0.180 * * * [progress]: picking best candidate 0.183 * * * * [pick]: Picked # 0.183 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.243 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.247 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.269 * * * [progress]: generating series expansions 0.269 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.270 * [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 0.270 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.270 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.270 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.270 * [taylor]: Taking taylor expansion of k in n 0.270 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.270 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.270 * [taylor]: Taking taylor expansion of 0.5 in n 0.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of k in n 0.270 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.270 * [taylor]: Taking taylor expansion of 2.0 in n 0.270 * [taylor]: Taking taylor expansion of (* n PI) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of PI in n 0.276 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.276 * [taylor]: Taking taylor expansion of 1.0 in k 0.276 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.276 * [taylor]: Taking taylor expansion of k in k 0.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.278 * [taylor]: Taking taylor expansion of 0.5 in k 0.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.278 * [taylor]: Taking taylor expansion of 1.0 in k 0.278 * [taylor]: Taking taylor expansion of k in k 0.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.278 * [taylor]: Taking taylor expansion of 2.0 in k 0.278 * [taylor]: Taking taylor expansion of (* n PI) in k 0.278 * [taylor]: Taking taylor expansion of n in k 0.278 * [taylor]: Taking taylor expansion of PI in k 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.279 * [taylor]: Taking taylor expansion of 1.0 in k 0.279 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.279 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.281 * [taylor]: Taking taylor expansion of 0.5 in k 0.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.281 * [taylor]: Taking taylor expansion of 2.0 in k 0.281 * [taylor]: Taking taylor expansion of (* n PI) in k 0.281 * [taylor]: Taking taylor expansion of n in k 0.281 * [taylor]: Taking taylor expansion of PI in k 0.282 * [taylor]: Taking taylor expansion of 0 in n 0.288 * [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 0.288 * [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 0.288 * [taylor]: Taking taylor expansion of +nan.0 in n 0.288 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.288 * [taylor]: Taking taylor expansion of 0.5 in n 0.288 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.288 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.288 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.288 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (log PI) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.290 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.291 * [taylor]: Taking taylor expansion of (log n) in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.291 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.291 * [taylor]: Taking taylor expansion of 1.0 in n 0.291 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.291 * [taylor]: Taking taylor expansion of 2.0 in n 0.318 * [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 0.318 * [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 0.318 * [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 0.318 * [taylor]: Taking taylor expansion of +nan.0 in n 0.318 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.318 * [taylor]: Taking taylor expansion of 0.5 in n 0.318 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.318 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.318 * [taylor]: Taking taylor expansion of 1.0 in n 0.318 * [taylor]: Taking taylor expansion of (log PI) in n 0.318 * [taylor]: Taking taylor expansion of PI in n 0.320 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.320 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.320 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (log n) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.321 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.321 * [taylor]: Taking taylor expansion of 1.0 in n 0.321 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.321 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [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 0.326 * [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 0.326 * [taylor]: Taking taylor expansion of +nan.0 in n 0.326 * [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 0.326 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.326 * [taylor]: Taking taylor expansion of 0.5 in n 0.326 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.326 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.327 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.327 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.327 * [taylor]: Taking taylor expansion of 1.0 in n 0.327 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.327 * [taylor]: Taking taylor expansion of 2.0 in n 0.328 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.328 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log PI) in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (log n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.335 * [taylor]: Taking taylor expansion of 2.0 in n 0.335 * [taylor]: Taking taylor expansion of (* n PI) in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of PI in n 0.387 * [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 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of +nan.0 in n 0.387 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.387 * [taylor]: Taking taylor expansion of 0.5 in n 0.387 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.387 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.387 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.387 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of (log n) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.395 * [taylor]: Taking taylor expansion of 1.0 in n 0.395 * [taylor]: Taking taylor expansion of (log PI) in n 0.395 * [taylor]: Taking taylor expansion of PI in n 0.401 * [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 0.401 * [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 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of +nan.0 in n 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.401 * [taylor]: Taking taylor expansion of 0.5 in n 0.401 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.401 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.401 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.401 * [taylor]: Taking taylor expansion of 1.0 in n 0.401 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.403 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.403 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.403 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (log PI) in n 0.403 * [taylor]: Taking taylor expansion of PI in n 0.405 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.405 * [taylor]: Taking taylor expansion of 1.0 in n 0.405 * [taylor]: Taking taylor expansion of (log n) in n 0.405 * [taylor]: Taking taylor expansion of n in n 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.410 * [taylor]: Taking taylor expansion of 2.0 in n 0.410 * [taylor]: Taking taylor expansion of (* n PI) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.413 * [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 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of +nan.0 in n 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.413 * [taylor]: Taking taylor expansion of 0.5 in n 0.413 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.413 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.415 * [taylor]: Taking taylor expansion of 1.0 in n 0.415 * [taylor]: Taking taylor expansion of (log PI) in n 0.415 * [taylor]: Taking taylor expansion of PI in n 0.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.417 * [taylor]: Taking taylor expansion of 1.0 in n 0.417 * [taylor]: Taking taylor expansion of (log n) in n 0.417 * [taylor]: Taking taylor expansion of n in n 0.422 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.422 * [taylor]: Taking taylor expansion of 2.0 in n 0.422 * [taylor]: Taking taylor expansion of (* n PI) in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [taylor]: Taking taylor expansion of PI in n 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.502 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.502 * [taylor]: Taking taylor expansion of k in n 0.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.502 * [taylor]: Taking taylor expansion of 0.5 in n 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.502 * [taylor]: Taking taylor expansion of k in n 0.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.502 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.506 * [taylor]: Taking taylor expansion of 1.0 in k 0.506 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.506 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.506 * [taylor]: Taking taylor expansion of k in k 0.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.508 * [taylor]: Taking taylor expansion of 0.5 in k 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.508 * [taylor]: Taking taylor expansion of 1.0 in k 0.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.508 * [taylor]: Taking taylor expansion of k in k 0.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.508 * [taylor]: Taking taylor expansion of 2.0 in k 0.508 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.508 * [taylor]: Taking taylor expansion of PI in k 0.508 * [taylor]: Taking taylor expansion of n in k 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.509 * [taylor]: Taking taylor expansion of 1.0 in k 0.509 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.509 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.509 * [taylor]: Taking taylor expansion of k in k 0.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.510 * [taylor]: Taking taylor expansion of 0.5 in k 0.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.511 * [taylor]: Taking taylor expansion of 1.0 in k 0.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.511 * [taylor]: Taking taylor expansion of k in k 0.511 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.511 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.511 * [taylor]: Taking taylor expansion of 2.0 in k 0.511 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.511 * [taylor]: Taking taylor expansion of PI in k 0.511 * [taylor]: Taking taylor expansion of n in k 0.512 * [taylor]: Taking taylor expansion of 0 in n 0.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.513 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.513 * [taylor]: Taking taylor expansion of +nan.0 in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.513 * [taylor]: Taking taylor expansion of 0.5 in n 0.513 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.513 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.513 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.513 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.513 * [taylor]: Taking taylor expansion of PI in n 0.513 * [taylor]: Taking taylor expansion of n in n 0.515 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.515 * [taylor]: Taking taylor expansion of k in n 0.523 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.523 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.523 * [taylor]: Taking taylor expansion of +nan.0 in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.523 * [taylor]: Taking taylor expansion of 0.5 in n 0.524 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.524 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.524 * [taylor]: Taking taylor expansion of 2.0 in n 0.524 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.524 * [taylor]: Taking taylor expansion of PI in n 0.524 * [taylor]: Taking taylor expansion of n in n 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.525 * [taylor]: Taking taylor expansion of k in n 0.542 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.542 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.542 * [taylor]: Taking taylor expansion of +nan.0 in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.542 * [taylor]: Taking taylor expansion of 0.5 in n 0.542 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.542 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.542 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.542 * [taylor]: Taking taylor expansion of 2.0 in n 0.542 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.542 * [taylor]: Taking taylor expansion of PI in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.544 * [taylor]: Taking taylor expansion of k in n 0.553 * [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 0.553 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.553 * [taylor]: Taking taylor expansion of 1.0 in n 0.553 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.553 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.553 * [taylor]: Taking taylor expansion of 0.5 in n 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.553 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.553 * [taylor]: Taking taylor expansion of k in n 0.553 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.554 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.554 * [taylor]: Taking taylor expansion of -2.0 in n 0.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.554 * [taylor]: Taking taylor expansion of PI in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.562 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.562 * [taylor]: Taking taylor expansion of -1 in n 0.562 * [taylor]: Taking taylor expansion of k in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.563 * [taylor]: Taking taylor expansion of 1.0 in k 0.563 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.563 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.563 * [taylor]: Taking taylor expansion of 0.5 in k 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.563 * [taylor]: Taking taylor expansion of k in k 0.563 * [taylor]: Taking taylor expansion of 1.0 in k 0.563 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.563 * [taylor]: Taking taylor expansion of -2.0 in k 0.563 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.563 * [taylor]: Taking taylor expansion of PI in k 0.563 * [taylor]: Taking taylor expansion of n in k 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.564 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.564 * [taylor]: Taking taylor expansion of -1 in k 0.564 * [taylor]: Taking taylor expansion of k in k 0.566 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.566 * [taylor]: Taking taylor expansion of 1.0 in k 0.566 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.566 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.566 * [taylor]: Taking taylor expansion of 0.5 in k 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.566 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.566 * [taylor]: Taking taylor expansion of k in k 0.566 * [taylor]: Taking taylor expansion of 1.0 in k 0.566 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.566 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.566 * [taylor]: Taking taylor expansion of -2.0 in k 0.566 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.566 * [taylor]: Taking taylor expansion of PI in k 0.566 * [taylor]: Taking taylor expansion of n in k 0.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.567 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.567 * [taylor]: Taking taylor expansion of -1 in k 0.567 * [taylor]: Taking taylor expansion of k in k 0.569 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.569 * [taylor]: Taking taylor expansion of +nan.0 in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.569 * [taylor]: Taking taylor expansion of 0.5 in n 0.569 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.569 * [taylor]: Taking taylor expansion of k in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.569 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.569 * [taylor]: Taking taylor expansion of -2.0 in n 0.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.569 * [taylor]: Taking taylor expansion of PI in n 0.569 * [taylor]: Taking taylor expansion of n in n 0.578 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.578 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.578 * [taylor]: Taking taylor expansion of +nan.0 in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.579 * [taylor]: Taking taylor expansion of k in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.579 * [taylor]: Taking taylor expansion of -2.0 in n 0.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.597 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.597 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.597 * [taylor]: Taking taylor expansion of +nan.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 in n 0.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.597 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.597 * [taylor]: Taking taylor expansion of k in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.597 * [taylor]: Taking taylor expansion of -2.0 in n 0.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.597 * [taylor]: Taking taylor expansion of PI in n 0.597 * [taylor]: Taking taylor expansion of n in n 0.607 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.607 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.607 * [taylor]: Taking taylor expansion of 2.0 in n 0.607 * [taylor]: Taking taylor expansion of (* n PI) in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.607 * [taylor]: Taking taylor expansion of 2.0 in n 0.607 * [taylor]: Taking taylor expansion of (* n PI) in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.620 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.629 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.629 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of -2.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of -2.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.643 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.643 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.645 * [taylor]: Taking taylor expansion of 1.0 in k 0.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.645 * [taylor]: Taking taylor expansion of k in k 0.657 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.657 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.657 * [taylor]: Taking taylor expansion of 1.0 in k 0.657 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.657 * [taylor]: Taking taylor expansion of k in k 0.658 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.658 * [taylor]: Taking taylor expansion of 1.0 in k 0.658 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.658 * [taylor]: Taking taylor expansion of k in k 0.668 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.668 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.668 * [taylor]: Taking taylor expansion of 1.0 in k 0.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.668 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.668 * [taylor]: Taking taylor expansion of -1 in k 0.668 * [taylor]: Taking taylor expansion of k in k 0.670 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.670 * [taylor]: Taking taylor expansion of 1.0 in k 0.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.670 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.670 * [taylor]: Taking taylor expansion of -1 in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.683 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.683 * [taylor]: Taking taylor expansion of 0.5 in k 0.683 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.683 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.683 * [taylor]: Taking taylor expansion of 2.0 in k 0.683 * [taylor]: Taking taylor expansion of (* n PI) in k 0.683 * [taylor]: Taking taylor expansion of n in k 0.683 * [taylor]: Taking taylor expansion of PI in k 0.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.684 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (* n PI) in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.690 * [taylor]: Taking taylor expansion of 0.5 in n 0.690 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.690 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.690 * [taylor]: Taking taylor expansion of 2.0 in n 0.690 * [taylor]: Taking taylor expansion of (* n PI) in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.696 * [taylor]: Taking taylor expansion of 0.5 in k 0.696 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.696 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.696 * [taylor]: Taking taylor expansion of 1.0 in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.696 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.696 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.696 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.696 * [taylor]: Taking taylor expansion of 2.0 in k 0.696 * [taylor]: Taking taylor expansion of PI in k 0.697 * [taylor]: Taking taylor expansion of (log n) in k 0.697 * [taylor]: Taking taylor expansion of n in k 0.707 * [taylor]: Taking taylor expansion of 0 in k 0.727 * [taylor]: Taking taylor expansion of 0 in k 0.747 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.747 * [taylor]: Taking taylor expansion of 0.5 in k 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.747 * [taylor]: Taking taylor expansion of 1.0 in k 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.747 * [taylor]: Taking taylor expansion of k in k 0.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.747 * [taylor]: Taking taylor expansion of 2.0 in k 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.747 * [taylor]: Taking taylor expansion of PI in k 0.747 * [taylor]: Taking taylor expansion of n in k 0.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.748 * [taylor]: Taking taylor expansion of 0.5 in n 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.748 * [taylor]: Taking taylor expansion of 1.0 in n 0.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.749 * [taylor]: Taking taylor expansion of k in n 0.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.749 * [taylor]: Taking taylor expansion of 2.0 in n 0.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.749 * [taylor]: Taking taylor expansion of PI in n 0.749 * [taylor]: Taking taylor expansion of n in n 0.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.753 * [taylor]: Taking taylor expansion of 0.5 in n 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.753 * [taylor]: Taking taylor expansion of 1.0 in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of 2.0 in n 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.757 * [taylor]: Taking taylor expansion of 0.5 in k 0.757 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.757 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.757 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.757 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.757 * [taylor]: Taking taylor expansion of 2.0 in k 0.757 * [taylor]: Taking taylor expansion of PI in k 0.758 * [taylor]: Taking taylor expansion of (log n) in k 0.758 * [taylor]: Taking taylor expansion of n in k 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.758 * [taylor]: Taking taylor expansion of 1.0 in k 0.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.758 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of 0 in k 0.775 * [taylor]: Taking taylor expansion of 0 in k 0.784 * [taylor]: Taking taylor expansion of 0 in k 0.785 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.786 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.786 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.786 * [taylor]: Taking taylor expansion of 0.5 in k 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.786 * [taylor]: Taking taylor expansion of k in k 0.786 * [taylor]: Taking taylor expansion of 1.0 in k 0.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.786 * [taylor]: Taking taylor expansion of -2.0 in k 0.786 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.786 * [taylor]: Taking taylor expansion of PI in k 0.786 * [taylor]: Taking taylor expansion of n in k 0.787 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.787 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.787 * [taylor]: Taking taylor expansion of 0.5 in n 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.787 * [taylor]: Taking taylor expansion of k in n 0.787 * [taylor]: Taking taylor expansion of 1.0 in n 0.787 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.787 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.787 * [taylor]: Taking taylor expansion of -2.0 in n 0.787 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.787 * [taylor]: Taking taylor expansion of PI in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.791 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.791 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.791 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.791 * [taylor]: Taking taylor expansion of 0.5 in n 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.791 * [taylor]: Taking taylor expansion of k in n 0.791 * [taylor]: Taking taylor expansion of 1.0 in n 0.791 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.791 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.791 * [taylor]: Taking taylor expansion of -2.0 in n 0.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.791 * [taylor]: Taking taylor expansion of PI in n 0.791 * [taylor]: Taking taylor expansion of n in n 0.795 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.795 * [taylor]: Taking taylor expansion of 0.5 in k 0.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.795 * [taylor]: Taking taylor expansion of k in k 0.795 * [taylor]: Taking taylor expansion of 1.0 in k 0.795 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.795 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.795 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.795 * [taylor]: Taking taylor expansion of -2.0 in k 0.795 * [taylor]: Taking taylor expansion of PI in k 0.796 * [taylor]: Taking taylor expansion of (log n) in k 0.796 * [taylor]: Taking taylor expansion of n in k 0.811 * [taylor]: Taking taylor expansion of 0 in k 0.818 * [taylor]: Taking taylor expansion of 0 in k 0.827 * [taylor]: Taking taylor expansion of 0 in k 0.828 * * * [progress]: simplifying candidates 0.831 * [simplify]: Simplifying using # : (* (/ 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)) (/ (- 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 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(+ (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)))))) 0.846 * * [simplify]: iteration 0 : 1241 enodes (cost 2334 ) 0.869 * * [simplify]: iteration 1 : 5001 enodes (cost 2228 ) 0.880 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log 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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)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) +nan.0)) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.881 * * * [progress]: adding candidates to table 1.369 * * [progress]: iteration 2 / 4 1.369 * * * [progress]: picking best candidate 1.395 * * * * [pick]: Picked # 1.395 * * * [progress]: localizing error 1.417 * * * [progress]: generating rewritten candidates 1.417 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.418 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 1.419 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.424 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.518 * * * [progress]: generating series expansions 1.518 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.518 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 1.518 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.519 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 1.519 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.519 * [taylor]: Taking taylor expansion of PI in n 1.520 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.520 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.520 * [taylor]: Taking taylor expansion of PI in n 1.532 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 1.532 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.532 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.532 * [taylor]: Taking taylor expansion of n in n 1.533 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.533 * [taylor]: Taking taylor expansion of PI in n 1.533 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.533 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.533 * [taylor]: Taking taylor expansion of n in n 1.534 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.534 * [taylor]: Taking taylor expansion of PI in n 1.547 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 1.547 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 1.547 * [taylor]: Taking taylor expansion of -1 in n 1.547 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.547 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.547 * [taylor]: Taking taylor expansion of PI in n 1.548 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 1.548 * [taylor]: Taking taylor expansion of -1 in n 1.548 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 1.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.548 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.548 * [taylor]: Taking taylor expansion of PI in n 1.573 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.574 * [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 1.574 * [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 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [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 1.574 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.574 * [taylor]: Taking taylor expansion of k in n 1.574 * [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 1.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in n 1.574 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in n 1.574 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.575 * [taylor]: Taking taylor expansion of 0.5 in n 1.575 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.575 * [taylor]: Taking taylor expansion of 1.0 in n 1.575 * [taylor]: Taking taylor expansion of k in n 1.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.575 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.575 * [taylor]: Taking taylor expansion of 2.0 in n 1.575 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.575 * [taylor]: Taking taylor expansion of PI in n 1.579 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in n 1.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in n 1.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in n 1.579 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.579 * [taylor]: Taking taylor expansion of 0.5 in n 1.579 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.579 * [taylor]: Taking taylor expansion of 1.0 in n 1.579 * [taylor]: Taking taylor expansion of k in n 1.580 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 1.580 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.580 * [taylor]: Taking taylor expansion of n in n 1.580 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.580 * [taylor]: Taking taylor expansion of PI in n 1.585 * [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 1.585 * [taylor]: Taking taylor expansion of 1.0 in k 1.585 * [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 1.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.585 * [taylor]: Taking taylor expansion of k in k 1.587 * [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 1.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in k 1.587 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in k 1.587 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.587 * [taylor]: Taking taylor expansion of 0.5 in k 1.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.587 * [taylor]: Taking taylor expansion of 1.0 in k 1.587 * [taylor]: Taking taylor expansion of k in k 1.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 1.587 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 1.587 * [taylor]: Taking taylor expansion of 2.0 in k 1.587 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.587 * [taylor]: Taking taylor expansion of PI in k 1.594 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in k 1.594 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in k 1.594 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.594 * [taylor]: Taking taylor expansion of 0.5 in k 1.594 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.594 * [taylor]: Taking taylor expansion of 1.0 in k 1.594 * [taylor]: Taking taylor expansion of k in k 1.594 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in k 1.594 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in k 1.594 * [taylor]: Taking taylor expansion of n in k 1.594 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.594 * [taylor]: Taking taylor expansion of PI in k 1.597 * [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 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [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 1.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.597 * [taylor]: Taking taylor expansion of k in k 1.598 * [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 1.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in k 1.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in k 1.598 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.598 * [taylor]: Taking taylor expansion of 0.5 in k 1.598 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.598 * [taylor]: Taking taylor expansion of 1.0 in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 1.598 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 1.598 * [taylor]: Taking taylor expansion of 2.0 in k 1.598 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.598 * [taylor]: Taking taylor expansion of PI in k 1.605 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in k 1.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.605 * [taylor]: Taking taylor expansion of 0.5 in k 1.605 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in k 1.605 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in k 1.605 * [taylor]: Taking taylor expansion of n in k 1.605 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.605 * [taylor]: Taking taylor expansion of PI in k 1.610 * [taylor]: Taking taylor expansion of 0 in n 1.647 * [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 1.648 * [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 1.648 * [taylor]: Taking taylor expansion of +nan.0 in n 1.648 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.648 * [taylor]: Taking taylor expansion of 0.5 in n 1.648 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.648 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.648 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.648 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.648 * [taylor]: Taking taylor expansion of 1.0 in n 1.648 * [taylor]: Taking taylor expansion of (log PI) in n 1.648 * [taylor]: Taking taylor expansion of PI in n 1.650 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.650 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.650 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.650 * [taylor]: Taking taylor expansion of 1.0 in n 1.650 * [taylor]: Taking taylor expansion of (log n) in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.651 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.718 * [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 1.718 * [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 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of +nan.0 in n 1.718 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.718 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.718 * [taylor]: Taking taylor expansion of 0.5 in n 1.718 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.718 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.718 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.718 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.718 * [taylor]: Taking taylor expansion of (log PI) in n 1.718 * [taylor]: Taking taylor expansion of PI in n 1.720 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.720 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.720 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.720 * [taylor]: Taking taylor expansion of 1.0 in n 1.720 * [taylor]: Taking taylor expansion of (log n) in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.721 * [taylor]: Taking taylor expansion of 1.0 in n 1.721 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.721 * [taylor]: Taking taylor expansion of 2.0 in n 1.726 * [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 1.726 * [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 1.726 * [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 1.726 * [taylor]: Taking taylor expansion of +nan.0 in n 1.726 * [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 1.726 * [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 1.729 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.729 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.729 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.729 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.729 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.729 * [taylor]: Taking taylor expansion of 1.0 in n 1.729 * [taylor]: Taking taylor expansion of (log PI) in n 1.729 * [taylor]: Taking taylor expansion of PI in n 1.731 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.731 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.731 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [taylor]: Taking taylor expansion of (log n) in n 1.732 * [taylor]: Taking taylor expansion of n in n 1.732 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.732 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [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 1.738 * [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 1.738 * [taylor]: Taking taylor expansion of +nan.0 in n 1.738 * [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 1.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.740 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.740 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.740 * [taylor]: Taking taylor expansion of 0.5 in n 1.740 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.740 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.740 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.740 * [taylor]: Taking taylor expansion of 1.0 in n 1.740 * [taylor]: Taking taylor expansion of (log PI) in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.742 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.742 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.742 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.742 * [taylor]: Taking taylor expansion of 1.0 in n 1.742 * [taylor]: Taking taylor expansion of (log n) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.743 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.743 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.743 * [taylor]: Taking taylor expansion of 1.0 in n 1.743 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.743 * [taylor]: Taking taylor expansion of 2.0 in n 1.896 * [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 1.897 * [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 1.897 * [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 1.897 * [taylor]: Taking taylor expansion of +nan.0 in n 1.897 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.897 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.897 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.897 * [taylor]: Taking taylor expansion of 0.5 in n 1.897 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.897 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.897 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.897 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.897 * [taylor]: Taking taylor expansion of 1.0 in n 1.897 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.897 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.899 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.899 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.899 * [taylor]: Taking taylor expansion of 1.0 in n 1.899 * [taylor]: Taking taylor expansion of (log n) in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.899 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.899 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.899 * [taylor]: Taking taylor expansion of 1.0 in n 1.900 * [taylor]: Taking taylor expansion of (log PI) in n 1.900 * [taylor]: Taking taylor expansion of PI in n 1.905 * [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 1.905 * [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 1.905 * [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 1.905 * [taylor]: Taking taylor expansion of +nan.0 in n 1.905 * [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 1.905 * [taylor]: Taking taylor expansion of (pow (log (* n (sqrt PI))) 2) in n 1.905 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 1.905 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.905 * [taylor]: Taking taylor expansion of PI in n 1.909 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.909 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.909 * [taylor]: Taking taylor expansion of 0.5 in n 1.909 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.909 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.909 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.909 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.909 * [taylor]: Taking taylor expansion of 1.0 in n 1.909 * [taylor]: Taking taylor expansion of (log PI) in n 1.909 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.911 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.911 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.911 * [taylor]: Taking taylor expansion of 1.0 in n 1.911 * [taylor]: Taking taylor expansion of (log n) in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.912 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.912 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.912 * [taylor]: Taking taylor expansion of 1.0 in n 1.912 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.912 * [taylor]: Taking taylor expansion of 2.0 in n 1.917 * [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 1.917 * [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 1.917 * [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 1.917 * [taylor]: Taking taylor expansion of +nan.0 in n 1.918 * [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 1.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.918 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.918 * [taylor]: Taking taylor expansion of 2.0 in n 1.918 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.918 * [taylor]: Taking taylor expansion of PI in n 1.920 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.920 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.920 * [taylor]: Taking taylor expansion of 0.5 in n 1.920 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.920 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.920 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.920 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.920 * [taylor]: Taking taylor expansion of 1.0 in n 1.920 * [taylor]: Taking taylor expansion of (log PI) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.922 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.922 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.922 * [taylor]: Taking taylor expansion of 1.0 in n 1.922 * [taylor]: Taking taylor expansion of (log n) in n 1.922 * [taylor]: Taking taylor expansion of n in n 1.923 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.923 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.923 * [taylor]: Taking taylor expansion of 1.0 in n 1.923 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.923 * [taylor]: Taking taylor expansion of 2.0 in n 1.929 * [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 1.929 * [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 1.929 * [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 1.929 * [taylor]: Taking taylor expansion of +nan.0 in n 1.929 * [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 1.929 * [taylor]: Taking taylor expansion of (* (log (* n (sqrt PI))) (log (* 2.0 (sqrt PI)))) in n 1.929 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 1.929 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.929 * [taylor]: Taking taylor expansion of n in n 1.929 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.929 * [taylor]: Taking taylor expansion of PI in n 1.932 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.932 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.932 * [taylor]: Taking taylor expansion of 2.0 in n 1.932 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.932 * [taylor]: Taking taylor expansion of PI in n 1.935 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.935 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.935 * [taylor]: Taking taylor expansion of 0.5 in n 1.935 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.935 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.935 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.935 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.935 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.935 * [taylor]: Taking taylor expansion of 1.0 in n 1.935 * [taylor]: Taking taylor expansion of (log PI) in n 1.935 * [taylor]: Taking taylor expansion of PI in n 1.937 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.937 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.937 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.937 * [taylor]: Taking taylor expansion of 1.0 in n 1.937 * [taylor]: Taking taylor expansion of (log n) in n 1.937 * [taylor]: Taking taylor expansion of n in n 1.937 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.937 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.938 * [taylor]: Taking taylor expansion of 2.0 in n 1.943 * [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 1.943 * [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 1.943 * [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 1.943 * [taylor]: Taking taylor expansion of +nan.0 in n 1.943 * [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 1.943 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 1.943 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.943 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.943 * [taylor]: Taking taylor expansion of PI in n 1.946 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.946 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.946 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.946 * [taylor]: Taking taylor expansion of 0.5 in n 1.946 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.946 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.946 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.946 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.946 * [taylor]: Taking taylor expansion of 1.0 in n 1.946 * [taylor]: Taking taylor expansion of (log PI) in n 1.946 * [taylor]: Taking taylor expansion of PI in n 1.948 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.948 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.948 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.948 * [taylor]: Taking taylor expansion of 1.0 in n 1.948 * [taylor]: Taking taylor expansion of (log n) in n 1.948 * [taylor]: Taking taylor expansion of n in n 1.949 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.949 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.949 * [taylor]: Taking taylor expansion of 1.0 in n 1.949 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.949 * [taylor]: Taking taylor expansion of 2.0 in n 1.954 * [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 1.955 * [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 1.955 * [taylor]: Taking taylor expansion of +nan.0 in n 1.955 * [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 1.955 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (sqrt PI))) 2) in n 1.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 1.955 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 1.955 * [taylor]: Taking taylor expansion of 2.0 in n 1.955 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.955 * [taylor]: Taking taylor expansion of PI in n 1.957 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.957 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.957 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.957 * [taylor]: Taking taylor expansion of 0.5 in n 1.957 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.957 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.957 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.957 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.957 * [taylor]: Taking taylor expansion of 1.0 in n 1.957 * [taylor]: Taking taylor expansion of (log PI) in n 1.957 * [taylor]: Taking taylor expansion of PI in n 1.964 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.964 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.964 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.964 * [taylor]: Taking taylor expansion of 1.0 in n 1.964 * [taylor]: Taking taylor expansion of (log n) in n 1.964 * [taylor]: Taking taylor expansion of n in n 1.965 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.965 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.965 * [taylor]: Taking taylor expansion of 1.0 in n 1.965 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.965 * [taylor]: Taking taylor expansion of 2.0 in n 2.200 * [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 2.200 * [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 2.200 * [taylor]: Taking taylor expansion of 1.0 in n 2.200 * [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 2.200 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.200 * [taylor]: Taking taylor expansion of k in n 2.201 * [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 2.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in n 2.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in n 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.201 * [taylor]: Taking taylor expansion of 0.5 in n 2.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.201 * [taylor]: Taking taylor expansion of 1.0 in n 2.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.201 * [taylor]: Taking taylor expansion of k in n 2.201 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.201 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.201 * [taylor]: Taking taylor expansion of 2.0 in n 2.201 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.201 * [taylor]: Taking taylor expansion of PI in n 2.206 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in n 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in n 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.206 * [taylor]: Taking taylor expansion of 0.5 in n 2.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.206 * [taylor]: Taking taylor expansion of 1.0 in n 2.206 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.206 * [taylor]: Taking taylor expansion of k in n 2.206 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.206 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.206 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.206 * [taylor]: Taking taylor expansion of PI in n 2.210 * [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 2.210 * [taylor]: Taking taylor expansion of 1.0 in k 2.210 * [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 2.210 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.212 * [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 2.212 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.212 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in k 2.212 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in k 2.212 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.212 * [taylor]: Taking taylor expansion of 0.5 in k 2.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.212 * [taylor]: Taking taylor expansion of 1.0 in k 2.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.212 * [taylor]: Taking taylor expansion of k in k 2.212 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.212 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.212 * [taylor]: Taking taylor expansion of 2.0 in k 2.212 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.212 * [taylor]: Taking taylor expansion of PI in k 2.218 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in k 2.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in k 2.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.218 * [taylor]: Taking taylor expansion of 0.5 in k 2.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.218 * [taylor]: Taking taylor expansion of 1.0 in k 2.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.218 * [taylor]: Taking taylor expansion of k in k 2.218 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in k 2.218 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.218 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.218 * [taylor]: Taking taylor expansion of n in k 2.218 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.218 * [taylor]: Taking taylor expansion of PI in k 2.221 * [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 2.221 * [taylor]: Taking taylor expansion of 1.0 in k 2.221 * [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 2.221 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.221 * [taylor]: Taking taylor expansion of k in k 2.222 * [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 2.222 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.222 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in k 2.222 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in k 2.222 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.223 * [taylor]: Taking taylor expansion of 0.5 in k 2.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.223 * [taylor]: Taking taylor expansion of 1.0 in k 2.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.223 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.223 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.223 * [taylor]: Taking taylor expansion of 2.0 in k 2.223 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.223 * [taylor]: Taking taylor expansion of PI in k 2.229 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in k 2.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in k 2.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.229 * [taylor]: Taking taylor expansion of 0.5 in k 2.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.229 * [taylor]: Taking taylor expansion of 1.0 in k 2.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.229 * [taylor]: Taking taylor expansion of k in k 2.229 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in k 2.229 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.229 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.229 * [taylor]: Taking taylor expansion of n in k 2.229 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.229 * [taylor]: Taking taylor expansion of PI in k 2.235 * [taylor]: Taking taylor expansion of 0 in n 2.240 * [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 2.240 * [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 2.240 * [taylor]: Taking taylor expansion of +nan.0 in n 2.240 * [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 2.241 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.241 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.241 * [taylor]: Taking taylor expansion of 0.5 in n 2.241 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.241 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.241 * [taylor]: Taking taylor expansion of 2.0 in n 2.241 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.241 * [taylor]: Taking taylor expansion of PI in n 2.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.243 * [taylor]: Taking taylor expansion of 1.0 in n 2.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.243 * [taylor]: Taking taylor expansion of k in n 2.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.246 * [taylor]: Taking taylor expansion of 0.5 in n 2.246 * [taylor]: Taking taylor expansion of (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.246 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.246 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.246 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.246 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.247 * [taylor]: Taking taylor expansion of PI in n 2.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.249 * [taylor]: Taking taylor expansion of 1.0 in n 2.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.249 * [taylor]: Taking taylor expansion of k in n 2.268 * [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 2.268 * [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 2.268 * [taylor]: Taking taylor expansion of +nan.0 in n 2.268 * [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 2.268 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.268 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.268 * [taylor]: Taking taylor expansion of 0.5 in n 2.268 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.268 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.268 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.268 * [taylor]: Taking taylor expansion of 2.0 in n 2.268 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.268 * [taylor]: Taking taylor expansion of PI in n 2.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.270 * [taylor]: Taking taylor expansion of 1.0 in n 2.270 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.270 * [taylor]: Taking taylor expansion of k in n 2.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.274 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.274 * [taylor]: Taking taylor expansion of 0.5 in n 2.274 * [taylor]: Taking taylor expansion of (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.274 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.274 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.274 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.274 * [taylor]: Taking taylor expansion of PI in n 2.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.276 * [taylor]: Taking taylor expansion of 1.0 in n 2.276 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.276 * [taylor]: Taking taylor expansion of k in n 2.319 * [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 2.319 * [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 2.319 * [taylor]: Taking taylor expansion of +nan.0 in n 2.319 * [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 2.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.319 * [taylor]: Taking taylor expansion of 0.5 in n 2.319 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.319 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.319 * [taylor]: Taking taylor expansion of 2.0 in n 2.319 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.319 * [taylor]: Taking taylor expansion of PI in n 2.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.321 * [taylor]: Taking taylor expansion of 1.0 in n 2.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.321 * [taylor]: Taking taylor expansion of k in n 2.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))))) in n 2.325 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k)))) in n 2.325 * [taylor]: Taking taylor expansion of 0.5 in n 2.325 * [taylor]: Taking taylor expansion of (* (log (* (/ 1 n) (sqrt PI))) (- 1.0 (/ 1 k))) in n 2.325 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 2.325 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.325 * [taylor]: Taking taylor expansion of n in n 2.325 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.325 * [taylor]: Taking taylor expansion of PI in n 2.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.327 * [taylor]: Taking taylor expansion of 1.0 in n 2.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.327 * [taylor]: Taking taylor expansion of k in n 2.345 * [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 2.345 * [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 2.345 * [taylor]: Taking taylor expansion of 1.0 in n 2.345 * [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 2.345 * [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 2.345 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.345 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.345 * [taylor]: Taking taylor expansion of 0.5 in n 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.345 * [taylor]: Taking taylor expansion of k in n 2.345 * [taylor]: Taking taylor expansion of 1.0 in n 2.345 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.345 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.345 * [taylor]: Taking taylor expansion of -1 in n 2.345 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.345 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.345 * [taylor]: Taking taylor expansion of PI in n 2.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in n 2.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in n 2.352 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.352 * [taylor]: Taking taylor expansion of 0.5 in n 2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.352 * [taylor]: Taking taylor expansion of k in n 2.352 * [taylor]: Taking taylor expansion of 1.0 in n 2.352 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.352 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.352 * [taylor]: Taking taylor expansion of 2.0 in n 2.352 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.352 * [taylor]: Taking taylor expansion of PI in n 2.357 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.357 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.357 * [taylor]: Taking taylor expansion of -1 in n 2.357 * [taylor]: Taking taylor expansion of k in n 2.367 * [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 2.367 * [taylor]: Taking taylor expansion of 1.0 in k 2.367 * [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 2.367 * [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 2.367 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in k 2.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in k 2.367 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.367 * [taylor]: Taking taylor expansion of 0.5 in k 2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.367 * [taylor]: Taking taylor expansion of k in k 2.367 * [taylor]: Taking taylor expansion of 1.0 in k 2.367 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in k 2.367 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in k 2.367 * [taylor]: Taking taylor expansion of -1 in k 2.367 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.367 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.367 * [taylor]: Taking taylor expansion of n in k 2.367 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.367 * [taylor]: Taking taylor expansion of PI in k 2.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in k 2.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in k 2.371 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.371 * [taylor]: Taking taylor expansion of 0.5 in k 2.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.371 * [taylor]: Taking taylor expansion of k in k 2.371 * [taylor]: Taking taylor expansion of 1.0 in k 2.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.371 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.371 * [taylor]: Taking taylor expansion of 2.0 in k 2.371 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.371 * [taylor]: Taking taylor expansion of PI in k 2.377 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.377 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.377 * [taylor]: Taking taylor expansion of -1 in k 2.377 * [taylor]: Taking taylor expansion of k in k 2.381 * [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 2.381 * [taylor]: Taking taylor expansion of 1.0 in k 2.381 * [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 2.381 * [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 2.381 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in k 2.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in k 2.381 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.381 * [taylor]: Taking taylor expansion of 0.5 in k 2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.382 * [taylor]: Taking taylor expansion of k in k 2.382 * [taylor]: Taking taylor expansion of 1.0 in k 2.382 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in k 2.382 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in k 2.382 * [taylor]: Taking taylor expansion of -1 in k 2.382 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 2.382 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.382 * [taylor]: Taking taylor expansion of n in k 2.382 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.382 * [taylor]: Taking taylor expansion of PI in k 2.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in k 2.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in k 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.385 * [taylor]: Taking taylor expansion of 0.5 in k 2.385 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.385 * [taylor]: Taking taylor expansion of k in k 2.385 * [taylor]: Taking taylor expansion of 1.0 in k 2.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 2.385 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 2.385 * [taylor]: Taking taylor expansion of 2.0 in k 2.385 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.385 * [taylor]: Taking taylor expansion of PI in k 2.391 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.391 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.391 * [taylor]: Taking taylor expansion of -1 in k 2.391 * [taylor]: Taking taylor expansion of k in k 2.397 * [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 2.397 * [taylor]: Taking taylor expansion of +nan.0 in n 2.397 * [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 2.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in n 2.397 * [taylor]: Taking taylor expansion of 0.5 in n 2.397 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in n 2.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.397 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.397 * [taylor]: Taking taylor expansion of 2.0 in n 2.397 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.397 * [taylor]: Taking taylor expansion of PI in n 2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.399 * [taylor]: Taking taylor expansion of k in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))) in n 2.402 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.402 * [taylor]: Taking taylor expansion of 0.5 in n 2.402 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.403 * [taylor]: Taking taylor expansion of k in n 2.403 * [taylor]: Taking taylor expansion of 1.0 in n 2.403 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.403 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.403 * [taylor]: Taking taylor expansion of -1 in n 2.403 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.403 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.403 * [taylor]: Taking taylor expansion of n in n 2.403 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.403 * [taylor]: Taking taylor expansion of PI in n 2.426 * [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 2.426 * [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 2.426 * [taylor]: Taking taylor expansion of +nan.0 in n 2.426 * [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 2.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in n 2.426 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in n 2.426 * [taylor]: Taking taylor expansion of 0.5 in n 2.426 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in n 2.426 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.426 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.426 * [taylor]: Taking taylor expansion of 2.0 in n 2.426 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.426 * [taylor]: Taking taylor expansion of PI in n 2.429 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.429 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.429 * [taylor]: Taking taylor expansion of k in n 2.429 * [taylor]: Taking taylor expansion of 1.0 in n 2.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))) in n 2.432 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.432 * [taylor]: Taking taylor expansion of 0.5 in n 2.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.432 * [taylor]: Taking taylor expansion of k in n 2.432 * [taylor]: Taking taylor expansion of 1.0 in n 2.432 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.432 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.432 * [taylor]: Taking taylor expansion of -1 in n 2.432 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.432 * [taylor]: Taking taylor expansion of n in n 2.432 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.432 * [taylor]: Taking taylor expansion of PI in n 2.486 * [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 2.486 * [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 2.486 * [taylor]: Taking taylor expansion of +nan.0 in n 2.486 * [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 2.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in n 2.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in n 2.486 * [taylor]: Taking taylor expansion of 0.5 in n 2.486 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in n 2.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 2.486 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 2.486 * [taylor]: Taking taylor expansion of 2.0 in n 2.486 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.486 * [taylor]: Taking taylor expansion of PI in n 2.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.489 * [taylor]: Taking taylor expansion of k in n 2.489 * [taylor]: Taking taylor expansion of 1.0 in n 2.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))))) in n 2.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 2.492 * [taylor]: Taking taylor expansion of 0.5 in n 2.492 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 2.492 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.492 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.492 * [taylor]: Taking taylor expansion of k in n 2.492 * [taylor]: Taking taylor expansion of 1.0 in n 2.492 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 2.492 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.492 * [taylor]: Taking taylor expansion of -1 in n 2.492 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.492 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.492 * [taylor]: Taking taylor expansion of n in n 2.493 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.516 * * * [progress]: simplifying candidates 2.529 * [simplify]: Simplifying using # : (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)) (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)) (* (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) (* (* (/ 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)) (/ 1.0 2.0))) (pow (* (sqrt PI) n) (/ 1.0 2.0))) (* (* (/ (sqrt k) 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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) 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) 2.0))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (sqrt (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) 2))) (* (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)))) (pow (* (sqrt PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt (* 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 (sqrt (* 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 (sqrt (* 2.0 (sqrt PI))) (/ (- 1.0 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(- (+ (* +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))))))) k)) (- (* +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 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)) (- (+ (* +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))))))))))))) 2.554 * * [simplify]: iteration 0 : 1467 enodes (cost 6290 ) 2.578 * * [simplify]: iteration 1 : 5001 enodes (cost 6175 ) 2.603 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) 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(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)) (- (* +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))) (- (* +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)))))))))) 2.607 * * * [progress]: adding candidates to table 3.299 * * [progress]: iteration 3 / 4 3.299 * * * [progress]: picking best candidate 3.330 * * * * [pick]: Picked # 3.330 * * * [progress]: localizing error 3.348 * * * [progress]: generating rewritten candidates 3.348 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 3.349 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 3.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.465 * * * [progress]: generating series expansions 3.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 3.465 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 3.465 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.466 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 3.466 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 3.466 * [taylor]: Taking taylor expansion of n in n 3.466 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.466 * [taylor]: Taking taylor expansion of PI in n 3.467 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 3.467 * [taylor]: Taking taylor expansion of n in n 3.467 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.467 * [taylor]: Taking taylor expansion of PI in n 3.479 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 3.479 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.479 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.479 * [taylor]: Taking taylor expansion of n in n 3.480 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.480 * [taylor]: Taking taylor expansion of PI in n 3.480 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.480 * [taylor]: Taking taylor expansion of n in n 3.481 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.481 * [taylor]: Taking taylor expansion of PI in n 3.494 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 3.494 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 3.494 * [taylor]: Taking taylor expansion of -1 in n 3.494 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.494 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.494 * [taylor]: Taking taylor expansion of n in n 3.494 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.494 * [taylor]: Taking taylor expansion of PI in n 3.495 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 3.495 * [taylor]: Taking taylor expansion of -1 in n 3.495 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 3.495 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.495 * [taylor]: Taking taylor expansion of n in n 3.495 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.495 * [taylor]: Taking taylor expansion of PI in n 3.513 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.515 * [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 3.515 * [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 3.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.515 * [taylor]: Taking taylor expansion of k in k 3.516 * [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 3.516 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in k 3.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in k 3.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in k 3.516 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.516 * [taylor]: Taking taylor expansion of 0.5 in k 3.516 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.516 * [taylor]: Taking taylor expansion of 1.0 in k 3.516 * [taylor]: Taking taylor expansion of k in k 3.516 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 3.516 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 3.516 * [taylor]: Taking taylor expansion of 2.0 in k 3.516 * [taylor]: Taking taylor expansion of (sqrt PI) in k 3.516 * [taylor]: Taking taylor expansion of PI in k 3.523 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in k 3.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in k 3.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in k 3.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.523 * [taylor]: Taking taylor expansion of 0.5 in k 3.523 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.523 * [taylor]: Taking taylor expansion of 1.0 in k 3.523 * [taylor]: Taking taylor expansion of k in k 3.523 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in k 3.523 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in k 3.523 * [taylor]: Taking taylor expansion of n in k 3.523 * [taylor]: Taking taylor expansion of (sqrt PI) in k 3.523 * [taylor]: Taking taylor expansion of PI in k 3.526 * [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 3.526 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.526 * [taylor]: Taking taylor expansion of k in n 3.526 * [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 3.526 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in n 3.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in n 3.526 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in n 3.526 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.526 * [taylor]: Taking taylor expansion of 0.5 in n 3.526 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.526 * [taylor]: Taking taylor expansion of 1.0 in n 3.526 * [taylor]: Taking taylor expansion of k in n 3.526 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 3.526 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 3.526 * [taylor]: Taking taylor expansion of 2.0 in n 3.526 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.526 * [taylor]: Taking taylor expansion of PI in n 3.531 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in n 3.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in n 3.531 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in n 3.531 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.531 * [taylor]: Taking taylor expansion of 0.5 in n 3.531 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.531 * [taylor]: Taking taylor expansion of 1.0 in n 3.531 * [taylor]: Taking taylor expansion of k in n 3.531 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 3.531 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 3.531 * [taylor]: Taking taylor expansion of n in n 3.531 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.531 * [taylor]: Taking taylor expansion of PI in n 3.542 * [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 3.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.542 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.542 * [taylor]: Taking taylor expansion of k in n 3.542 * [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 3.542 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 k))) in n 3.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI))))) in n 3.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (sqrt PI)))) in n 3.542 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.542 * [taylor]: Taking taylor expansion of 0.5 in n 3.542 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.542 * [taylor]: Taking taylor expansion of 1.0 in n 3.542 * [taylor]: Taking taylor expansion of k in n 3.542 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 3.542 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 3.542 * [taylor]: Taking taylor expansion of 2.0 in n 3.542 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.542 * [taylor]: Taking taylor expansion of PI in n 3.547 * [taylor]: Taking taylor expansion of (pow (* n (sqrt PI)) (* 0.5 (- 1.0 k))) in n 3.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI))))) in n 3.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n (sqrt PI)))) in n 3.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.547 * [taylor]: Taking taylor expansion of 0.5 in n 3.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.547 * [taylor]: Taking taylor expansion of 1.0 in n 3.547 * [taylor]: Taking taylor expansion of k in n 3.547 * [taylor]: Taking taylor expansion of (log (* n (sqrt PI))) in n 3.547 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 3.547 * [taylor]: Taking taylor expansion of n in n 3.547 * [taylor]: Taking taylor expansion of (sqrt PI) in n 3.547 * [taylor]: Taking taylor expansion of PI in n 3.555 * [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 3.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.555 * [taylor]: Taking taylor expansion of k in k 3.557 * [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 3.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI)))))) in k 3.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log (* 2.0 (sqrt PI))))) in k 3.557 * [taylor]: Taking taylor expansion of 0.5 in k 3.557 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log (* 2.0 (sqrt PI)))) in k 3.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.557 * [taylor]: Taking taylor expansion of 1.0 in k 3.557 * [taylor]: Taking taylor expansion of k in k 3.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 3.557 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 3.557 * [taylor]: Taking taylor expansion of 2.0 in k 3.557 * [taylor]: Taking taylor expansion of (sqrt PI) in k 3.557 * [taylor]: Taking taylor expansion of PI in k 3.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (sqrt PI)) (log n))))) in k 3.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (sqrt PI)) (log n)))) in k 3.566 * [taylor]: Taking taylor expansion of 0.5 in k 3.566 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (sqrt PI)) (log n))) in k 3.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.566 * [taylor]: Taking taylor expansion of 1.0 in k 3.566 * [taylor]: Taking taylor expansion of k in k 3.566 * [taylor]: Taking taylor expansion of (+ (log (sqrt PI)) (log n)) in k 3.566 * [taylor]: Taking taylor expansion of (log (sqrt PI)) in k 3.566 * [taylor]: Taking taylor expansion of (sqrt PI) in k 3.566 * [taylor]: Taking taylor expansion of PI in k 3.567 * [taylor]: Taking taylor expansion of (log n) in k 3.567 * [taylor]: Taking taylor expansion of n in k 3.587 * [taylor]: Taking taylor expansion of 0 in k 3.657 * [taylor]: Taking taylor expansion of 0 in k 3.787 * [taylor]: Taking taylor expansion of 0 in k 4.059 * [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 4.059 * [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 4.059 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.059 * [taylor]: Taking taylor expansion of k in k 4.060 * [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 4.060 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.060 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in k 4.060 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in k 4.061 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.061 * [taylor]: Taking taylor expansion of 0.5 in k 4.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.061 * [taylor]: Taking taylor expansion of 1.0 in k 4.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.061 * [taylor]: Taking taylor expansion of k in k 4.061 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.061 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.061 * [taylor]: Taking taylor expansion of 2.0 in k 4.061 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.061 * [taylor]: Taking taylor expansion of PI in k 4.067 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.067 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in k 4.067 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in k 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.067 * [taylor]: Taking taylor expansion of 0.5 in k 4.067 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.067 * [taylor]: Taking taylor expansion of 1.0 in k 4.067 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.067 * [taylor]: Taking taylor expansion of k in k 4.067 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in k 4.067 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 4.067 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.067 * [taylor]: Taking taylor expansion of n in k 4.067 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.067 * [taylor]: Taking taylor expansion of PI in k 4.070 * [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 4.070 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.070 * [taylor]: Taking taylor expansion of k in n 4.070 * [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 4.070 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.070 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in n 4.070 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in n 4.070 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.070 * [taylor]: Taking taylor expansion of 0.5 in n 4.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.070 * [taylor]: Taking taylor expansion of 1.0 in n 4.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.070 * [taylor]: Taking taylor expansion of k in n 4.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.071 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.071 * [taylor]: Taking taylor expansion of 2.0 in n 4.071 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.071 * [taylor]: Taking taylor expansion of PI in n 4.075 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in n 4.075 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in n 4.075 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.075 * [taylor]: Taking taylor expansion of 0.5 in n 4.075 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.075 * [taylor]: Taking taylor expansion of 1.0 in n 4.075 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.075 * [taylor]: Taking taylor expansion of k in n 4.075 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 4.075 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.075 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.075 * [taylor]: Taking taylor expansion of n in n 4.076 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.076 * [taylor]: Taking taylor expansion of PI in n 4.080 * [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 4.080 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.080 * [taylor]: Taking taylor expansion of k in n 4.080 * [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 4.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI))))) in n 4.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (sqrt PI)))) in n 4.080 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.080 * [taylor]: Taking taylor expansion of 0.5 in n 4.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.080 * [taylor]: Taking taylor expansion of 1.0 in n 4.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.080 * [taylor]: Taking taylor expansion of k in n 4.080 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.080 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.080 * [taylor]: Taking taylor expansion of 2.0 in n 4.080 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.080 * [taylor]: Taking taylor expansion of PI in n 4.090 * [taylor]: Taking taylor expansion of (pow (* (/ 1 n) (sqrt PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI))))) in n 4.090 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* (/ 1 n) (sqrt PI)))) in n 4.090 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.090 * [taylor]: Taking taylor expansion of 0.5 in n 4.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.090 * [taylor]: Taking taylor expansion of 1.0 in n 4.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.090 * [taylor]: Taking taylor expansion of k in n 4.090 * [taylor]: Taking taylor expansion of (log (* (/ 1 n) (sqrt PI))) in n 4.090 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.090 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.090 * [taylor]: Taking taylor expansion of n in n 4.090 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.090 * [taylor]: Taking taylor expansion of PI in n 4.098 * [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 4.098 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.098 * [taylor]: Taking taylor expansion of k in k 4.099 * [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 4.099 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))))) in k 4.099 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k)))) in k 4.099 * [taylor]: Taking taylor expansion of 0.5 in k 4.099 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (- 1.0 (/ 1 k))) in k 4.099 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.099 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.099 * [taylor]: Taking taylor expansion of 2.0 in k 4.100 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.100 * [taylor]: Taking taylor expansion of PI in k 4.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.102 * [taylor]: Taking taylor expansion of 1.0 in k 4.102 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.102 * [taylor]: Taking taylor expansion of k in k 4.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.107 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.107 * [taylor]: Taking taylor expansion of 0.5 in k 4.107 * [taylor]: Taking taylor expansion of (* (- (log (sqrt PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.107 * [taylor]: Taking taylor expansion of (- (log (sqrt PI)) (log n)) in k 4.107 * [taylor]: Taking taylor expansion of (log (sqrt PI)) in k 4.107 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.107 * [taylor]: Taking taylor expansion of PI in k 4.109 * [taylor]: Taking taylor expansion of (log n) in k 4.109 * [taylor]: Taking taylor expansion of n in k 4.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.109 * [taylor]: Taking taylor expansion of 1.0 in k 4.109 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.109 * [taylor]: Taking taylor expansion of k in k 4.129 * [taylor]: Taking taylor expansion of 0 in k 4.154 * [taylor]: Taking taylor expansion of 0 in k 4.191 * [taylor]: Taking taylor expansion of 0 in k 4.207 * [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 4.207 * [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 4.207 * [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 4.207 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in k 4.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in k 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.207 * [taylor]: Taking taylor expansion of 0.5 in k 4.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.207 * [taylor]: Taking taylor expansion of k in k 4.208 * [taylor]: Taking taylor expansion of 1.0 in k 4.208 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in k 4.208 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in k 4.208 * [taylor]: Taking taylor expansion of -1 in k 4.208 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in k 4.208 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.208 * [taylor]: Taking taylor expansion of n in k 4.208 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.208 * [taylor]: Taking taylor expansion of PI in k 4.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in k 4.211 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in k 4.211 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.211 * [taylor]: Taking taylor expansion of 0.5 in k 4.211 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.211 * [taylor]: Taking taylor expansion of k in k 4.211 * [taylor]: Taking taylor expansion of 1.0 in k 4.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.211 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.211 * [taylor]: Taking taylor expansion of 2.0 in k 4.211 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.211 * [taylor]: Taking taylor expansion of PI in k 4.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.217 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.217 * [taylor]: Taking taylor expansion of -1 in k 4.217 * [taylor]: Taking taylor expansion of k in k 4.221 * [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 4.221 * [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 4.221 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.221 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 4.221 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 4.221 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.221 * [taylor]: Taking taylor expansion of 0.5 in n 4.221 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.221 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.221 * [taylor]: Taking taylor expansion of k in n 4.221 * [taylor]: Taking taylor expansion of 1.0 in n 4.221 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 4.221 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 4.221 * [taylor]: Taking taylor expansion of -1 in n 4.221 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.222 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.222 * [taylor]: Taking taylor expansion of n in n 4.222 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.222 * [taylor]: Taking taylor expansion of PI in n 4.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in n 4.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in n 4.228 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.228 * [taylor]: Taking taylor expansion of 0.5 in n 4.228 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.228 * [taylor]: Taking taylor expansion of k in n 4.229 * [taylor]: Taking taylor expansion of 1.0 in n 4.229 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.229 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.229 * [taylor]: Taking taylor expansion of 2.0 in n 4.229 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.229 * [taylor]: Taking taylor expansion of PI in n 4.233 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.233 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.233 * [taylor]: Taking taylor expansion of -1 in n 4.233 * [taylor]: Taking taylor expansion of k in n 4.238 * [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 4.238 * [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 4.238 * [taylor]: Taking taylor expansion of (pow (* -1 (* (/ 1 n) (sqrt PI))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI)))))) in n 4.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (* (/ 1 n) (sqrt PI))))) in n 4.238 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.238 * [taylor]: Taking taylor expansion of 0.5 in n 4.238 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.238 * [taylor]: Taking taylor expansion of k in n 4.238 * [taylor]: Taking taylor expansion of 1.0 in n 4.238 * [taylor]: Taking taylor expansion of (log (* -1 (* (/ 1 n) (sqrt PI)))) in n 4.238 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 4.238 * [taylor]: Taking taylor expansion of -1 in n 4.238 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 4.238 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.238 * [taylor]: Taking taylor expansion of n in n 4.238 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.238 * [taylor]: Taking taylor expansion of PI in n 4.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (sqrt PI)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI))))) in n 4.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (sqrt PI)))) in n 4.251 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.251 * [taylor]: Taking taylor expansion of 0.5 in n 4.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.251 * [taylor]: Taking taylor expansion of k in n 4.251 * [taylor]: Taking taylor expansion of 1.0 in n 4.251 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in n 4.251 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in n 4.251 * [taylor]: Taking taylor expansion of 2.0 in n 4.251 * [taylor]: Taking taylor expansion of (sqrt PI) in n 4.251 * [taylor]: Taking taylor expansion of PI in n 4.255 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.255 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.255 * [taylor]: Taking taylor expansion of -1 in n 4.255 * [taylor]: Taking taylor expansion of k in n 4.260 * [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 4.260 * [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 4.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)))) in k 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0))) in k 4.260 * [taylor]: Taking taylor expansion of 0.5 in k 4.260 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (sqrt PI))) (+ (/ 1 k) 1.0)) in k 4.260 * [taylor]: Taking taylor expansion of (log (* 2.0 (sqrt PI))) in k 4.260 * [taylor]: Taking taylor expansion of (* 2.0 (sqrt PI)) in k 4.260 * [taylor]: Taking taylor expansion of 2.0 in k 4.260 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.260 * [taylor]: Taking taylor expansion of PI in k 4.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.263 * [taylor]: Taking taylor expansion of k in k 4.263 * [taylor]: Taking taylor expansion of 1.0 in k 4.267 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n))))) in k 4.267 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n)))) in k 4.267 * [taylor]: Taking taylor expansion of 0.5 in k 4.267 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -1 (sqrt PI))) (log n))) in k 4.267 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.267 * [taylor]: Taking taylor expansion of k in k 4.267 * [taylor]: Taking taylor expansion of 1.0 in k 4.268 * [taylor]: Taking taylor expansion of (- (log (* -1 (sqrt PI))) (log n)) in k 4.268 * [taylor]: Taking taylor expansion of (log (* -1 (sqrt PI))) in k 4.268 * [taylor]: Taking taylor expansion of (* -1 (sqrt PI)) in k 4.268 * [taylor]: Taking taylor expansion of -1 in k 4.268 * [taylor]: Taking taylor expansion of (sqrt PI) in k 4.268 * [taylor]: Taking taylor expansion of PI in k 4.270 * [taylor]: Taking taylor expansion of (log n) in k 4.270 * [taylor]: Taking taylor expansion of n in k 4.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.274 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.274 * [taylor]: Taking taylor expansion of -1 in k 4.275 * [taylor]: Taking taylor expansion of k in k 4.299 * [taylor]: Taking taylor expansion of 0 in k 4.336 * [taylor]: Taking taylor expansion of 0 in k 4.357 * * * [progress]: simplifying candidates 4.363 * [simplify]: Simplifying using # : (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)) (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)) (* (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 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k))) (+ (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0)) (- (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0)) (- (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0)) (- (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0)) (- (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (+ (log (sqrt PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (- (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (- (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (- (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (- (log (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (log (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (- (* (+ (log 2.0) (log (sqrt PI))) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log (* (sqrt PI) n)) (/ (- 1.0 k) 2.0)) (- (* (log (* 2.0 (sqrt PI))) (/ (- 1.0 k) 2.0)) (log 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(cbrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))))) (fabs (cbrt k))) (* (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 (sqrt k)))) (* (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))))) (* (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 (sqrt k)))) (* (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))))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (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)) (pow (* 2.0 (sqrt PI)) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (cbrt k))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (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 k) 2.0) 2)) (sqrt (sqrt k)))) (* (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 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (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 (* (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)) (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) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (* (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (sqrt PI)) (/ (- 1.0 k) 2.0)) (sqrt (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 (sqrt k)))) (* (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 (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (cbrt (* 2.0 (sqrt PI))) (cbrt (* 2.0 (sqrt PI)))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (sqrt (* 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 2.0) (sqrt (sqrt PI))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (sqrt 2.0) (sqrt (sqrt PI))) (/ (- 1.0 k) 2.0)) (pow (* (sqrt PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* (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))) (- (* +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)))))))))) 4.439 * * * [progress]: adding candidates to table 5.341 * * [progress]: iteration 4 / 4 5.341 * * * [progress]: picking best candidate 5.364 * * * * [pick]: Picked # 5.364 * * * [progress]: localizing error 5.393 * * * [progress]: generating rewritten candidates 5.394 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 5.395 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2) 5.396 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 5.398 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 5.404 * * * [progress]: generating series expansions 5.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 5.404 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) 5.404 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 5.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 5.404 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 5.404 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 5.404 * [taylor]: Taking taylor expansion of n in n 5.404 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.405 * [taylor]: Taking taylor expansion of PI in n 5.405 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 5.405 * [taylor]: Taking taylor expansion of n in n 5.405 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.405 * [taylor]: Taking taylor expansion of PI in n 5.418 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 5.418 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.418 * [taylor]: Taking taylor expansion of n in n 5.418 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.418 * [taylor]: Taking taylor expansion of PI in n 5.419 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.419 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.419 * [taylor]: Taking taylor expansion of n in n 5.419 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.419 * [taylor]: Taking taylor expansion of PI in n 5.432 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 5.432 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 5.432 * [taylor]: Taking taylor expansion of -1 in n 5.432 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.432 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.432 * [taylor]: Taking taylor expansion of n in n 5.433 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.433 * [taylor]: Taking taylor expansion of PI in n 5.433 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 5.433 * [taylor]: Taking taylor expansion of -1 in n 5.433 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 5.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.433 * [taylor]: Taking taylor expansion of n in n 5.434 * [taylor]: Taking taylor expansion of (sqrt PI) in n 5.434 * [taylor]: Taking taylor expansion of PI in n 5.452 * * * [progress]: simplifying candidates 5.453 * [simplify]: Simplifying using # : (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)) (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)) (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)) (* (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)) 5.456 * * [simplify]: iteration 0 : 97 enodes (cost 201 ) 5.459 * * [simplify]: iteration 1 : 298 enodes (cost 197 ) 5.465 * * [simplify]: iteration 2 : 722 enodes (cost 194 ) 5.476 * * [simplify]: iteration 3 : 1720 enodes (cost 194 ) 5.506 * * [simplify]: iteration 4 : 5002 enodes (cost 194 ) 5.507 * [simplify]: Simplified to: (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)) (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)) (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)) (* (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) 5.508 * * * [progress]: adding candidates to table 5.700 * [progress]: [Phase 3 of 3] Extracting. 5.700 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.703 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.703 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.740 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 5.776 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 5.809 * * * [regime]: Found split indices: #