10.883 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.132 * * * [progress]: [2/2] Setting up program. 0.134 * [progress]: [Phase 2 of 3] Improving. 0.135 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.137 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.138 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.140 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.143 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.149 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.171 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.171 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.172 * * [progress]: iteration 1 / 4 0.172 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.199 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.208 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.213 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.226 * * * [progress]: generating series expansions 0.226 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.227 * [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 0.227 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.227 * [taylor]: Taking taylor expansion of 1.0 in n 0.227 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.227 * [taylor]: Taking taylor expansion of k in n 0.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.227 * [taylor]: Taking taylor expansion of 0.5 in n 0.227 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.227 * [taylor]: Taking taylor expansion of 1.0 in n 0.227 * [taylor]: Taking taylor expansion of k in n 0.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.227 * [taylor]: Taking taylor expansion of 2.0 in n 0.227 * [taylor]: Taking taylor expansion of (* n PI) in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.227 * [taylor]: Taking taylor expansion of PI in n 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.233 * [taylor]: Taking taylor expansion of 1.0 in k 0.233 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.233 * [taylor]: Taking taylor expansion of k in k 0.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.235 * [taylor]: Taking taylor expansion of 0.5 in k 0.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.235 * [taylor]: Taking taylor expansion of 1.0 in k 0.235 * [taylor]: Taking taylor expansion of k in k 0.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.235 * [taylor]: Taking taylor expansion of 2.0 in k 0.235 * [taylor]: Taking taylor expansion of (* n PI) in k 0.235 * [taylor]: Taking taylor expansion of n in k 0.235 * [taylor]: Taking taylor expansion of PI in k 0.236 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.236 * [taylor]: Taking taylor expansion of 1.0 in k 0.236 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.236 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.237 * [taylor]: Taking taylor expansion of 0.5 in k 0.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.237 * [taylor]: Taking taylor expansion of 2.0 in k 0.237 * [taylor]: Taking taylor expansion of (* n PI) in k 0.237 * [taylor]: Taking taylor expansion of n in k 0.237 * [taylor]: Taking taylor expansion of PI in k 0.239 * [taylor]: Taking taylor expansion of 0 in n 0.244 * [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 0.244 * [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 0.244 * [taylor]: Taking taylor expansion of +nan.0 in n 0.244 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.244 * [taylor]: Taking taylor expansion of 0.5 in n 0.244 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.244 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.244 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.244 * [taylor]: Taking taylor expansion of 1.0 in n 0.244 * [taylor]: Taking taylor expansion of (log PI) in n 0.244 * [taylor]: Taking taylor expansion of PI in n 0.246 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.246 * [taylor]: Taking taylor expansion of 1.0 in n 0.246 * [taylor]: Taking taylor expansion of (log n) in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.247 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.247 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.247 * [taylor]: Taking taylor expansion of 2.0 in n 0.266 * [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 0.266 * [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 0.266 * [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 0.266 * [taylor]: Taking taylor expansion of +nan.0 in n 0.266 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.266 * [taylor]: Taking taylor expansion of 0.5 in n 0.267 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.267 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.267 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.267 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.267 * [taylor]: Taking taylor expansion of 1.0 in n 0.267 * [taylor]: Taking taylor expansion of (log PI) in n 0.267 * [taylor]: Taking taylor expansion of PI in n 0.268 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.269 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.269 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.269 * [taylor]: Taking taylor expansion of 1.0 in n 0.269 * [taylor]: Taking taylor expansion of (log n) in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.269 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.269 * [taylor]: Taking taylor expansion of 1.0 in n 0.269 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.269 * [taylor]: Taking taylor expansion of 2.0 in n 0.274 * [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 0.275 * [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 0.275 * [taylor]: Taking taylor expansion of +nan.0 in n 0.275 * [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 0.275 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.275 * [taylor]: Taking taylor expansion of 0.5 in n 0.275 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.275 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.275 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.275 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.275 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.275 * [taylor]: Taking taylor expansion of 2.0 in n 0.277 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.277 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.277 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (log PI) in n 0.277 * [taylor]: Taking taylor expansion of PI in n 0.278 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.279 * [taylor]: Taking taylor expansion of 1.0 in n 0.279 * [taylor]: Taking taylor expansion of (log n) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.283 * [taylor]: Taking taylor expansion of 2.0 in n 0.283 * [taylor]: Taking taylor expansion of (* n PI) in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.283 * [taylor]: Taking taylor expansion of PI in n 0.339 * [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 0.339 * [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 0.339 * [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 0.339 * [taylor]: Taking taylor expansion of +nan.0 in n 0.339 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.340 * [taylor]: Taking taylor expansion of 0.5 in n 0.340 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.340 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.340 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.340 * [taylor]: Taking taylor expansion of 1.0 in n 0.340 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.340 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.341 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (log n) in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.342 * [taylor]: Taking taylor expansion of 1.0 in n 0.342 * [taylor]: Taking taylor expansion of (log PI) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.347 * [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 0.348 * [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 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of +nan.0 in n 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.348 * [taylor]: Taking taylor expansion of 0.5 in n 0.348 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.348 * [taylor]: Taking taylor expansion of 2.0 in n 0.350 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.350 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of (log PI) in n 0.350 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.352 * [taylor]: Taking taylor expansion of 1.0 in n 0.352 * [taylor]: Taking taylor expansion of (log n) in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.356 * [taylor]: Taking taylor expansion of 2.0 in n 0.356 * [taylor]: Taking taylor expansion of (* n PI) in n 0.356 * [taylor]: Taking taylor expansion of n in n 0.356 * [taylor]: Taking taylor expansion of PI in n 0.359 * [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 0.359 * [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 0.359 * [taylor]: Taking taylor expansion of +nan.0 in n 0.359 * [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 0.359 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.359 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.359 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.359 * [taylor]: Taking taylor expansion of 0.5 in n 0.359 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.359 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.359 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.359 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.359 * [taylor]: Taking taylor expansion of 1.0 in n 0.359 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.359 * [taylor]: Taking taylor expansion of 2.0 in n 0.361 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.361 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.361 * [taylor]: Taking taylor expansion of 1.0 in n 0.361 * [taylor]: Taking taylor expansion of (log PI) in n 0.361 * [taylor]: Taking taylor expansion of PI in n 0.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.363 * [taylor]: Taking taylor expansion of 1.0 in n 0.363 * [taylor]: Taking taylor expansion of (log n) in n 0.363 * [taylor]: Taking taylor expansion of n in n 0.367 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.367 * [taylor]: Taking taylor expansion of 2.0 in n 0.367 * [taylor]: Taking taylor expansion of (* n PI) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.447 * [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 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.447 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.447 * [taylor]: Taking taylor expansion of k in n 0.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.447 * [taylor]: Taking taylor expansion of 0.5 in n 0.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.447 * [taylor]: Taking taylor expansion of k in n 0.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.447 * [taylor]: Taking taylor expansion of 2.0 in n 0.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.447 * [taylor]: Taking taylor expansion of PI in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.451 * [taylor]: Taking taylor expansion of 1.0 in k 0.451 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.451 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.451 * [taylor]: Taking taylor expansion of k in k 0.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.452 * [taylor]: Taking taylor expansion of 0.5 in k 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.452 * [taylor]: Taking taylor expansion of k in k 0.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.453 * [taylor]: Taking taylor expansion of 2.0 in k 0.453 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.453 * [taylor]: Taking taylor expansion of PI in k 0.453 * [taylor]: Taking taylor expansion of n in k 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.454 * [taylor]: Taking taylor expansion of 1.0 in k 0.454 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.454 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.454 * [taylor]: Taking taylor expansion of k in k 0.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.455 * [taylor]: Taking taylor expansion of 0.5 in k 0.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.455 * [taylor]: Taking taylor expansion of 1.0 in k 0.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.455 * [taylor]: Taking taylor expansion of k in k 0.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.455 * [taylor]: Taking taylor expansion of 2.0 in k 0.455 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.455 * [taylor]: Taking taylor expansion of PI in k 0.455 * [taylor]: Taking taylor expansion of n in k 0.457 * [taylor]: Taking taylor expansion of 0 in n 0.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.458 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.458 * [taylor]: Taking taylor expansion of +nan.0 in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.458 * [taylor]: Taking taylor expansion of 0.5 in n 0.458 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.458 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.458 * [taylor]: Taking taylor expansion of PI in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.459 * [taylor]: Taking taylor expansion of k in n 0.468 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.468 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.468 * [taylor]: Taking taylor expansion of +nan.0 in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.468 * [taylor]: Taking taylor expansion of 0.5 in n 0.468 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.468 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.468 * [taylor]: Taking taylor expansion of 2.0 in n 0.468 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.468 * [taylor]: Taking taylor expansion of PI in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.469 * [taylor]: Taking taylor expansion of k in n 0.486 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.486 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.486 * [taylor]: Taking taylor expansion of +nan.0 in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.486 * [taylor]: Taking taylor expansion of 0.5 in n 0.486 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.486 * [taylor]: Taking taylor expansion of 2.0 in n 0.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.486 * [taylor]: Taking taylor expansion of PI in n 0.486 * [taylor]: Taking taylor expansion of n in n 0.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.488 * [taylor]: Taking taylor expansion of 1.0 in n 0.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.488 * [taylor]: Taking taylor expansion of k in n 0.501 * [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 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.501 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.502 * [taylor]: Taking taylor expansion of 0.5 in n 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 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 0.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.502 * [taylor]: Taking taylor expansion of PI in n 0.502 * [taylor]: Taking taylor expansion of n in n 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.505 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.505 * [taylor]: Taking taylor expansion of -1 in n 0.505 * [taylor]: Taking taylor expansion of k in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.506 * [taylor]: Taking taylor expansion of 1.0 in k 0.506 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.507 * [taylor]: Taking taylor expansion of 0.5 in k 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.507 * [taylor]: Taking taylor expansion of k in k 0.507 * [taylor]: Taking taylor expansion of 1.0 in k 0.507 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.507 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.507 * [taylor]: Taking taylor expansion of -2.0 in k 0.507 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.507 * [taylor]: Taking taylor expansion of PI in k 0.507 * [taylor]: Taking taylor expansion of n in k 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.508 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.508 * [taylor]: Taking taylor expansion of -1 in k 0.508 * [taylor]: Taking taylor expansion of k in k 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.509 * [taylor]: Taking taylor expansion of 1.0 in k 0.509 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.509 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.509 * [taylor]: Taking taylor expansion of 0.5 in k 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.510 * [taylor]: Taking taylor expansion of k in k 0.510 * [taylor]: Taking taylor expansion of 1.0 in k 0.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.510 * [taylor]: Taking taylor expansion of -2.0 in k 0.510 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.510 * [taylor]: Taking taylor expansion of PI in k 0.510 * [taylor]: Taking taylor expansion of n in k 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.511 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.511 * [taylor]: Taking taylor expansion of -1 in k 0.511 * [taylor]: Taking taylor expansion of k in k 0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.512 * [taylor]: Taking taylor expansion of +nan.0 in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.512 * [taylor]: Taking taylor expansion of 0.5 in n 0.512 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.513 * [taylor]: Taking taylor expansion of k in n 0.513 * [taylor]: Taking taylor expansion of 1.0 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 0.522 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.522 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.522 * [taylor]: Taking taylor expansion of +nan.0 in n 0.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.522 * [taylor]: Taking taylor expansion of 0.5 in n 0.522 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.522 * [taylor]: Taking taylor expansion of k in n 0.522 * [taylor]: Taking taylor expansion of 1.0 in n 0.522 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.522 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.522 * [taylor]: Taking taylor expansion of -2.0 in n 0.522 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.522 * [taylor]: Taking taylor expansion of PI in n 0.522 * [taylor]: Taking taylor expansion of n in n 0.541 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.541 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.541 * [taylor]: Taking taylor expansion of +nan.0 in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.541 * [taylor]: Taking taylor expansion of 0.5 in n 0.541 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.541 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.541 * [taylor]: Taking taylor expansion of k in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.541 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.541 * [taylor]: Taking taylor expansion of -2.0 in n 0.541 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.541 * [taylor]: Taking taylor expansion of PI in n 0.541 * [taylor]: Taking taylor expansion of n in n 0.550 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.551 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.551 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.551 * [taylor]: Taking taylor expansion of 0.5 in k 0.551 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.551 * [taylor]: Taking taylor expansion of 1.0 in k 0.551 * [taylor]: Taking taylor expansion of k in k 0.551 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.551 * [taylor]: Taking taylor expansion of 2.0 in k 0.551 * [taylor]: Taking taylor expansion of (* n PI) in k 0.551 * [taylor]: Taking taylor expansion of n in k 0.551 * [taylor]: Taking taylor expansion of PI in k 0.552 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.552 * [taylor]: Taking taylor expansion of 0.5 in n 0.552 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.552 * [taylor]: Taking taylor expansion of k in n 0.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.552 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.552 * [taylor]: Taking taylor expansion of 2.0 in n 0.552 * [taylor]: Taking taylor expansion of (* n PI) in n 0.552 * [taylor]: Taking taylor expansion of n in n 0.552 * [taylor]: Taking taylor expansion of PI in n 0.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.558 * [taylor]: Taking taylor expansion of 0.5 in n 0.558 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.558 * [taylor]: Taking taylor expansion of 1.0 in n 0.558 * [taylor]: Taking taylor expansion of k in n 0.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.558 * [taylor]: Taking taylor expansion of 2.0 in n 0.558 * [taylor]: Taking taylor expansion of (* n PI) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.558 * [taylor]: Taking taylor expansion of PI in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.563 * [taylor]: Taking taylor expansion of 0.5 in k 0.563 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.563 * [taylor]: Taking taylor expansion of 1.0 in k 0.563 * [taylor]: Taking taylor expansion of k in k 0.563 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.563 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.563 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.563 * [taylor]: Taking taylor expansion of 2.0 in k 0.563 * [taylor]: Taking taylor expansion of PI in k 0.564 * [taylor]: Taking taylor expansion of (log n) in k 0.564 * [taylor]: Taking taylor expansion of n in k 0.574 * [taylor]: Taking taylor expansion of 0 in k 0.596 * [taylor]: Taking taylor expansion of 0 in k 0.615 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.615 * [taylor]: Taking taylor expansion of 0.5 in k 0.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.615 * [taylor]: Taking taylor expansion of 1.0 in k 0.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.615 * [taylor]: Taking taylor expansion of 2.0 in k 0.615 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.615 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of n in k 0.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.616 * [taylor]: Taking taylor expansion of 0.5 in n 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.617 * [taylor]: Taking taylor expansion of k in n 0.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.617 * [taylor]: Taking taylor expansion of 2.0 in n 0.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.620 * [taylor]: Taking taylor expansion of 0.5 in n 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.620 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.624 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.624 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.625 * [taylor]: Taking taylor expansion of (log n) in k 0.625 * [taylor]: Taking taylor expansion of n in k 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.625 * [taylor]: Taking taylor expansion of 1.0 in k 0.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.626 * [taylor]: Taking taylor expansion of k in k 0.635 * [taylor]: Taking taylor expansion of 0 in k 0.642 * [taylor]: Taking taylor expansion of 0 in k 0.651 * [taylor]: Taking taylor expansion of 0 in k 0.653 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.653 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.653 * [taylor]: Taking taylor expansion of -2.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.653 * [taylor]: Taking taylor expansion of PI in k 0.653 * [taylor]: Taking taylor expansion of n in k 0.654 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.654 * [taylor]: Taking taylor expansion of 0.5 in n 0.654 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.654 * [taylor]: Taking taylor expansion of k in n 0.654 * [taylor]: Taking taylor expansion of 1.0 in n 0.654 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.654 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.654 * [taylor]: Taking taylor expansion of -2.0 in n 0.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.654 * [taylor]: Taking taylor expansion of PI in n 0.654 * [taylor]: Taking taylor expansion of n in n 0.658 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.658 * [taylor]: Taking taylor expansion of 0.5 in n 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.658 * [taylor]: Taking taylor expansion of k in n 0.658 * [taylor]: Taking taylor expansion of 1.0 in n 0.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.658 * [taylor]: Taking taylor expansion of -2.0 in n 0.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.658 * [taylor]: Taking taylor expansion of PI in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.662 * [taylor]: Taking taylor expansion of 0.5 in k 0.662 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.662 * [taylor]: Taking taylor expansion of k in k 0.662 * [taylor]: Taking taylor expansion of 1.0 in k 0.662 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.662 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.662 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.662 * [taylor]: Taking taylor expansion of -2.0 in k 0.662 * [taylor]: Taking taylor expansion of PI in k 0.663 * [taylor]: Taking taylor expansion of (log n) in k 0.663 * [taylor]: Taking taylor expansion of n in k 0.679 * [taylor]: Taking taylor expansion of 0 in k 0.686 * [taylor]: Taking taylor expansion of 0 in k 0.695 * [taylor]: Taking taylor expansion of 0 in k 0.696 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.696 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.696 * [taylor]: Taking taylor expansion of 2.0 in n 0.696 * [taylor]: Taking taylor expansion of (* n PI) in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.696 * [taylor]: Taking taylor expansion of 2.0 in n 0.696 * [taylor]: Taking taylor expansion of (* n PI) in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.709 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.718 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.718 * [taylor]: Taking taylor expansion of -2.0 in n 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.718 * [taylor]: Taking taylor expansion of PI in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.718 * [taylor]: Taking taylor expansion of -2.0 in n 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.718 * [taylor]: Taking taylor expansion of PI in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.727 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.727 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.727 * [taylor]: Taking taylor expansion of 1.0 in k 0.727 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.727 * [taylor]: Taking taylor expansion of k in k 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.728 * [taylor]: Taking taylor expansion of k in k 0.739 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.741 * [taylor]: Taking taylor expansion of 1.0 in k 0.741 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.751 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.751 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.751 * [taylor]: Taking taylor expansion of 1.0 in k 0.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.751 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.751 * [taylor]: Taking taylor expansion of -1 in k 0.751 * [taylor]: Taking taylor expansion of k in k 0.753 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.753 * [taylor]: Taking taylor expansion of 1.0 in k 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.753 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.753 * [taylor]: Taking taylor expansion of -1 in k 0.753 * [taylor]: Taking taylor expansion of k in k 0.770 * * * [progress]: simplifying candidates 0.773 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) 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(* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +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) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +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)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 0.873 * * * [progress]: adding candidates to table 1.275 * * [progress]: iteration 2 / 4 1.275 * * * [progress]: picking best candidate 1.301 * * * * [pick]: Picked # 1.301 * * * [progress]: localizing error 1.319 * * * [progress]: generating rewritten candidates 1.319 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.334 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.351 * * * [progress]: generating series expansions 1.351 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.352 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.352 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.352 * [taylor]: Taking taylor expansion of 1.0 in k 1.352 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.353 * [taylor]: Taking taylor expansion of k in k 1.354 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.354 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.354 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.354 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.354 * [taylor]: Taking taylor expansion of 0.5 in k 1.354 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.354 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.354 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.354 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.354 * [taylor]: Taking taylor expansion of 1.0 in k 1.354 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.354 * [taylor]: Taking taylor expansion of 2.0 in k 1.356 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.356 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.356 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.356 * [taylor]: Taking taylor expansion of 1.0 in k 1.356 * [taylor]: Taking taylor expansion of (log n) in k 1.356 * [taylor]: Taking taylor expansion of n in k 1.356 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.356 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.356 * [taylor]: Taking taylor expansion of 1.0 in k 1.356 * [taylor]: Taking taylor expansion of (log PI) in k 1.356 * [taylor]: Taking taylor expansion of PI in k 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.362 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.362 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.362 * [taylor]: Taking taylor expansion of 0.5 in k 1.362 * [taylor]: Taking taylor expansion of k in k 1.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.362 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.362 * [taylor]: Taking taylor expansion of 2.0 in k 1.362 * [taylor]: Taking taylor expansion of (* n PI) in k 1.362 * [taylor]: Taking taylor expansion of n in k 1.362 * [taylor]: Taking taylor expansion of PI in k 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.365 * [taylor]: Taking taylor expansion of 1.0 in n 1.365 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.365 * [taylor]: Taking taylor expansion of k in n 1.365 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.365 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.365 * [taylor]: Taking taylor expansion of 0.5 in n 1.365 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.365 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.365 * [taylor]: Taking taylor expansion of 1.0 in n 1.365 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.365 * [taylor]: Taking taylor expansion of 2.0 in n 1.367 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.367 * [taylor]: Taking taylor expansion of 1.0 in n 1.367 * [taylor]: Taking taylor expansion of (log n) in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.368 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.368 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.368 * [taylor]: Taking taylor expansion of 1.0 in n 1.368 * [taylor]: Taking taylor expansion of (log PI) in n 1.368 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.373 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.373 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.373 * [taylor]: Taking taylor expansion of 0.5 in n 1.373 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.374 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.374 * [taylor]: Taking taylor expansion of 2.0 in n 1.374 * [taylor]: Taking taylor expansion of (* n PI) in n 1.374 * [taylor]: Taking taylor expansion of n in n 1.374 * [taylor]: Taking taylor expansion of PI in n 1.380 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.380 * [taylor]: Taking taylor expansion of 1.0 in n 1.380 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.380 * [taylor]: Taking taylor expansion of k in n 1.380 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.380 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.380 * [taylor]: Taking taylor expansion of 0.5 in n 1.380 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.380 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.380 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.380 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.380 * [taylor]: Taking taylor expansion of 1.0 in n 1.380 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.380 * [taylor]: Taking taylor expansion of 2.0 in n 1.382 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.382 * [taylor]: Taking taylor expansion of 1.0 in n 1.382 * [taylor]: Taking taylor expansion of (log n) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.383 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.383 * [taylor]: Taking taylor expansion of 1.0 in n 1.383 * [taylor]: Taking taylor expansion of (log PI) in n 1.383 * [taylor]: Taking taylor expansion of PI in n 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.393 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.393 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.393 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.393 * [taylor]: Taking taylor expansion of 0.5 in n 1.393 * [taylor]: Taking taylor expansion of k in n 1.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.393 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.393 * [taylor]: Taking taylor expansion of 2.0 in n 1.393 * [taylor]: Taking taylor expansion of (* n PI) in n 1.393 * [taylor]: Taking taylor expansion of n in n 1.393 * [taylor]: Taking taylor expansion of PI in n 1.404 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.404 * [taylor]: Taking taylor expansion of 1.0 in k 1.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.404 * [taylor]: Taking taylor expansion of k in k 1.405 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.405 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.406 * [taylor]: Taking taylor expansion of 0.5 in k 1.406 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.406 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.406 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.406 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.406 * [taylor]: Taking taylor expansion of 1.0 in k 1.406 * [taylor]: Taking taylor expansion of (log PI) in k 1.406 * [taylor]: Taking taylor expansion of PI in k 1.408 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.408 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of (log n) in k 1.408 * [taylor]: Taking taylor expansion of n in k 1.408 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.408 * [taylor]: Taking taylor expansion of 2.0 in k 1.413 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.413 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.413 * [taylor]: Taking taylor expansion of 0.5 in k 1.413 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.413 * [taylor]: Taking taylor expansion of k in k 1.413 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.413 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.413 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.413 * [taylor]: Taking taylor expansion of 2.0 in k 1.413 * [taylor]: Taking taylor expansion of PI in k 1.414 * [taylor]: Taking taylor expansion of (log n) in k 1.414 * [taylor]: Taking taylor expansion of n in k 1.445 * [taylor]: Taking taylor expansion of 0 in k 1.503 * [taylor]: Taking taylor expansion of 0 in k 1.602 * [taylor]: Taking taylor expansion of 0 in k 1.719 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.719 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.719 * [taylor]: Taking taylor expansion of 1.0 in k 1.719 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.719 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.719 * [taylor]: Taking taylor expansion of k in k 1.720 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.720 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.720 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.721 * [taylor]: Taking taylor expansion of 0.5 in k 1.721 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.721 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.721 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.721 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.721 * [taylor]: Taking taylor expansion of 1.0 in k 1.721 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.721 * [taylor]: Taking taylor expansion of 2.0 in k 1.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.722 * [taylor]: Taking taylor expansion of 1.0 in k 1.722 * [taylor]: Taking taylor expansion of (log PI) in k 1.723 * [taylor]: Taking taylor expansion of PI in k 1.724 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.724 * [taylor]: Taking taylor expansion of 1.0 in k 1.724 * [taylor]: Taking taylor expansion of (log n) in k 1.724 * [taylor]: Taking taylor expansion of n in k 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.731 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.731 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.731 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.731 * [taylor]: Taking taylor expansion of 0.5 in k 1.731 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.731 * [taylor]: Taking taylor expansion of 2.0 in k 1.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.731 * [taylor]: Taking taylor expansion of PI in k 1.731 * [taylor]: Taking taylor expansion of n in k 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.732 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.732 * [taylor]: Taking taylor expansion of k in n 1.732 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.732 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.732 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.732 * [taylor]: Taking taylor expansion of 0.5 in n 1.732 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.732 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.732 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) 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 1.734 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.734 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.734 * [taylor]: Taking taylor expansion of 1.0 in n 1.734 * [taylor]: Taking taylor expansion of (log PI) in n 1.734 * [taylor]: Taking taylor expansion of PI in n 1.741 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.741 * [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 1.749 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.749 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.749 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.749 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.749 * [taylor]: Taking taylor expansion of 0.5 in n 1.749 * [taylor]: Taking taylor expansion of k in n 1.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of 2.0 in n 1.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.753 * [taylor]: Taking taylor expansion of 1.0 in n 1.753 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.753 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.753 * [taylor]: Taking taylor expansion of k in n 1.754 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.754 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.754 * [taylor]: Taking taylor expansion of 0.5 in n 1.754 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.754 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.754 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.754 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.754 * [taylor]: Taking taylor expansion of 2.0 in n 1.755 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.756 * [taylor]: Taking taylor expansion of 1.0 in n 1.756 * [taylor]: Taking taylor expansion of (log PI) in n 1.756 * [taylor]: Taking taylor expansion of PI in n 1.757 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.757 * [taylor]: Taking taylor expansion of 1.0 in n 1.757 * [taylor]: Taking taylor expansion of (log n) in n 1.758 * [taylor]: Taking taylor expansion of n in n 1.764 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.765 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.765 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.765 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.765 * [taylor]: Taking taylor expansion of 0.5 in n 1.765 * [taylor]: Taking taylor expansion of k in n 1.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.765 * [taylor]: Taking taylor expansion of 2.0 in n 1.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.765 * [taylor]: Taking taylor expansion of PI in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.775 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.775 * [taylor]: Taking taylor expansion of 1.0 in k 1.775 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.775 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.775 * [taylor]: Taking taylor expansion of k in k 1.776 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.776 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.776 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.776 * [taylor]: Taking taylor expansion of 0.5 in k 1.777 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.777 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.777 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.777 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.777 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.777 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.777 * [taylor]: Taking taylor expansion of 1.0 in k 1.777 * [taylor]: Taking taylor expansion of (log PI) in k 1.777 * [taylor]: Taking taylor expansion of PI in k 1.778 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.779 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.779 * [taylor]: Taking taylor expansion of 1.0 in k 1.779 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.779 * [taylor]: Taking taylor expansion of 2.0 in k 1.780 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.780 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.780 * [taylor]: Taking taylor expansion of 1.0 in k 1.780 * [taylor]: Taking taylor expansion of (log n) in k 1.780 * [taylor]: Taking taylor expansion of n in k 1.787 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.787 * [taylor]: Taking taylor expansion of 0.5 in k 1.787 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.787 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.787 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.787 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.787 * [taylor]: Taking taylor expansion of 2.0 in k 1.787 * [taylor]: Taking taylor expansion of PI in k 1.788 * [taylor]: Taking taylor expansion of (log n) in k 1.788 * [taylor]: Taking taylor expansion of n in k 1.788 * [taylor]: Taking taylor expansion of k in k 1.822 * [taylor]: Taking taylor expansion of 0 in k 1.885 * [taylor]: Taking taylor expansion of 0 in k 1.968 * [taylor]: Taking taylor expansion of 0 in k 2.026 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.026 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.026 * [taylor]: Taking taylor expansion of 1.0 in k 2.026 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.026 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.026 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.026 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.026 * [taylor]: Taking taylor expansion of -1 in k 2.026 * [taylor]: Taking taylor expansion of k in k 2.028 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.028 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.028 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.028 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.028 * [taylor]: Taking taylor expansion of -0.5 in k 2.028 * [taylor]: Taking taylor expansion of k in k 2.028 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.028 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.028 * [taylor]: Taking taylor expansion of -2.0 in k 2.028 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.028 * [taylor]: Taking taylor expansion of PI in k 2.028 * [taylor]: Taking taylor expansion of n in k 2.029 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.029 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.029 * [taylor]: Taking taylor expansion of 0.5 in k 2.029 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.029 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.029 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.029 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.029 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.029 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.029 * [taylor]: Taking taylor expansion of 1.0 in k 2.029 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.029 * [taylor]: Taking taylor expansion of -2.0 in k 2.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.031 * [taylor]: Taking taylor expansion of 1.0 in k 2.031 * [taylor]: Taking taylor expansion of (log PI) in k 2.031 * [taylor]: Taking taylor expansion of PI in k 2.033 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.033 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.033 * [taylor]: Taking taylor expansion of 1.0 in k 2.033 * [taylor]: Taking taylor expansion of (log n) in k 2.033 * [taylor]: Taking taylor expansion of n in k 2.040 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.040 * [taylor]: Taking taylor expansion of 1.0 in n 2.040 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.040 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.040 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.040 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.040 * [taylor]: Taking taylor expansion of -1 in n 2.040 * [taylor]: Taking taylor expansion of k in n 2.040 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.040 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.040 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.040 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.040 * [taylor]: Taking taylor expansion of -0.5 in n 2.040 * [taylor]: Taking taylor expansion of k in n 2.040 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.040 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.040 * [taylor]: Taking taylor expansion of -2.0 in n 2.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.040 * [taylor]: Taking taylor expansion of PI in n 2.040 * [taylor]: Taking taylor expansion of n in n 2.045 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.046 * [taylor]: Taking taylor expansion of 0.5 in n 2.046 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.046 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.046 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.046 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.046 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.046 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.046 * [taylor]: Taking taylor expansion of 1.0 in n 2.046 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.046 * [taylor]: Taking taylor expansion of -2.0 in n 2.047 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.047 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.048 * [taylor]: Taking taylor expansion of 1.0 in n 2.048 * [taylor]: Taking taylor expansion of (log PI) in n 2.048 * [taylor]: Taking taylor expansion of PI in n 2.049 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.049 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.049 * [taylor]: Taking taylor expansion of 1.0 in n 2.049 * [taylor]: Taking taylor expansion of (log n) in n 2.049 * [taylor]: Taking taylor expansion of n in n 2.056 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.056 * [taylor]: Taking taylor expansion of 1.0 in n 2.056 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.056 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.057 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.057 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.057 * [taylor]: Taking taylor expansion of -1 in n 2.057 * [taylor]: Taking taylor expansion of k in n 2.057 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.057 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.057 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.057 * [taylor]: Taking taylor expansion of -0.5 in n 2.057 * [taylor]: Taking taylor expansion of k in n 2.057 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.057 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.057 * [taylor]: Taking taylor expansion of -2.0 in n 2.057 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.057 * [taylor]: Taking taylor expansion of PI in n 2.057 * [taylor]: Taking taylor expansion of n in n 2.062 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.062 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.062 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.062 * [taylor]: Taking taylor expansion of 0.5 in n 2.062 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.062 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.062 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.062 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.062 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.062 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.062 * [taylor]: Taking taylor expansion of 1.0 in n 2.062 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.062 * [taylor]: Taking taylor expansion of -2.0 in n 2.064 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.064 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.064 * [taylor]: Taking taylor expansion of 1.0 in n 2.064 * [taylor]: Taking taylor expansion of (log PI) in n 2.064 * [taylor]: Taking taylor expansion of PI in n 2.066 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.066 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.066 * [taylor]: Taking taylor expansion of 1.0 in n 2.066 * [taylor]: Taking taylor expansion of (log n) in n 2.066 * [taylor]: Taking taylor expansion of n in n 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.078 * [taylor]: Taking taylor expansion of 1.0 in k 2.078 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.078 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.078 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.078 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.078 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.078 * [taylor]: Taking taylor expansion of -0.5 in k 2.078 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.078 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.078 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.078 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.078 * [taylor]: Taking taylor expansion of -2.0 in k 2.078 * [taylor]: Taking taylor expansion of PI in k 2.079 * [taylor]: Taking taylor expansion of (log n) in k 2.079 * [taylor]: Taking taylor expansion of n in k 2.079 * [taylor]: Taking taylor expansion of k in k 2.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.082 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.082 * [taylor]: Taking taylor expansion of -1 in k 2.082 * [taylor]: Taking taylor expansion of k in k 2.085 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.085 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.085 * [taylor]: Taking taylor expansion of 0.5 in k 2.085 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.085 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.085 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.086 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.086 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.086 * [taylor]: Taking taylor expansion of 1.0 in k 2.086 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.086 * [taylor]: Taking taylor expansion of -2.0 in k 2.087 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.087 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.087 * [taylor]: Taking taylor expansion of 1.0 in k 2.087 * [taylor]: Taking taylor expansion of (log PI) in k 2.087 * [taylor]: Taking taylor expansion of PI in k 2.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.089 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.089 * [taylor]: Taking taylor expansion of 1.0 in k 2.089 * [taylor]: Taking taylor expansion of (log n) in k 2.089 * [taylor]: Taking taylor expansion of n in k 2.132 * [taylor]: Taking taylor expansion of 0 in k 2.199 * [taylor]: Taking taylor expansion of 0 in k 2.244 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.245 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.245 * [taylor]: Taking taylor expansion of 2.0 in n 2.245 * [taylor]: Taking taylor expansion of (* n PI) in n 2.245 * [taylor]: Taking taylor expansion of n in n 2.245 * [taylor]: Taking taylor expansion of PI in n 2.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.245 * [taylor]: Taking taylor expansion of 2.0 in n 2.245 * [taylor]: Taking taylor expansion of (* n PI) in n 2.245 * [taylor]: Taking taylor expansion of n in n 2.245 * [taylor]: Taking taylor expansion of PI in n 2.257 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.257 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.257 * [taylor]: Taking taylor expansion of 2.0 in n 2.257 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.257 * [taylor]: Taking taylor expansion of PI in n 2.257 * [taylor]: Taking taylor expansion of n in n 2.258 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.258 * [taylor]: Taking taylor expansion of 2.0 in n 2.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.258 * [taylor]: Taking taylor expansion of PI in n 2.258 * [taylor]: Taking taylor expansion of n in n 2.273 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.273 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.273 * [taylor]: Taking taylor expansion of -2.0 in n 2.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.273 * [taylor]: Taking taylor expansion of PI in n 2.273 * [taylor]: Taking taylor expansion of n in n 2.274 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.274 * [taylor]: Taking taylor expansion of -2.0 in n 2.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.274 * [taylor]: Taking taylor expansion of PI in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.283 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.283 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.283 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.283 * [taylor]: Taking taylor expansion of 2.0 in n 2.283 * [taylor]: Taking taylor expansion of (* n PI) in n 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.283 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.283 * [taylor]: Taking taylor expansion of 2.0 in n 2.283 * [taylor]: Taking taylor expansion of (* n PI) in n 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.296 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.296 * [taylor]: Taking taylor expansion of 2.0 in n 2.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.296 * [taylor]: Taking taylor expansion of PI in n 2.296 * [taylor]: Taking taylor expansion of n in n 2.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.296 * [taylor]: Taking taylor expansion of 2.0 in n 2.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.296 * [taylor]: Taking taylor expansion of PI in n 2.296 * [taylor]: Taking taylor expansion of n in n 2.305 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.305 * [taylor]: Taking taylor expansion of -2.0 in n 2.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.305 * [taylor]: Taking taylor expansion of PI in n 2.305 * [taylor]: Taking taylor expansion of n in n 2.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.305 * [taylor]: Taking taylor expansion of -2.0 in n 2.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.305 * [taylor]: Taking taylor expansion of PI in n 2.305 * [taylor]: Taking taylor expansion of n in n 2.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.315 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.315 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.315 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.315 * [taylor]: Taking taylor expansion of 0.5 in n 2.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.315 * [taylor]: Taking taylor expansion of 2.0 in n 2.315 * [taylor]: Taking taylor expansion of (* n PI) in n 2.315 * [taylor]: Taking taylor expansion of n in n 2.315 * [taylor]: Taking taylor expansion of PI in n 2.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.320 * [taylor]: Taking taylor expansion of 0.5 in n 2.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.320 * [taylor]: Taking taylor expansion of 2.0 in n 2.321 * [taylor]: Taking taylor expansion of (* n PI) in n 2.321 * [taylor]: Taking taylor expansion of n in n 2.321 * [taylor]: Taking taylor expansion of PI in n 2.405 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.405 * [taylor]: Taking taylor expansion of 0.5 in n 2.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.405 * [taylor]: Taking taylor expansion of 2.0 in n 2.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.405 * [taylor]: Taking taylor expansion of PI in n 2.405 * [taylor]: Taking taylor expansion of n in n 2.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.409 * [taylor]: Taking taylor expansion of 0.5 in n 2.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.409 * [taylor]: Taking taylor expansion of 2.0 in n 2.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.409 * [taylor]: Taking taylor expansion of PI in n 2.409 * [taylor]: Taking taylor expansion of n in n 2.489 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.490 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.490 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.490 * [taylor]: Taking taylor expansion of 0.5 in n 2.490 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.490 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.490 * [taylor]: Taking taylor expansion of -2.0 in n 2.490 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.490 * [taylor]: Taking taylor expansion of PI in n 2.490 * [taylor]: Taking taylor expansion of n in n 2.493 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.493 * [taylor]: Taking taylor expansion of 0.5 in n 2.493 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.493 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.493 * [taylor]: Taking taylor expansion of -2.0 in n 2.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.493 * [taylor]: Taking taylor expansion of n in n 2.574 * * * [progress]: simplifying candidates 2.576 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) 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k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 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)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +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)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +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)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.683 * * * [progress]: adding candidates to table 2.926 * * [progress]: iteration 3 / 4 2.926 * * * [progress]: picking best candidate 2.946 * * * * [pick]: Picked # 2.946 * * * [progress]: localizing error 2.968 * * * [progress]: generating rewritten candidates 2.968 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.979 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.984 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.989 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.997 * * * [progress]: generating series expansions 2.997 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.999 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 2.999 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.999 * [taylor]: Taking taylor expansion of 1.0 in n 2.999 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.999 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.999 * [taylor]: Taking taylor expansion of k in n 2.999 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.999 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.999 * [taylor]: Taking taylor expansion of 0.5 in n 2.999 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.999 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.999 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.999 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.999 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.999 * [taylor]: Taking taylor expansion of 1.0 in n 2.999 * [taylor]: Taking taylor expansion of (log PI) in n 2.999 * [taylor]: Taking taylor expansion of PI in n 3.001 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.001 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.001 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.001 * [taylor]: Taking taylor expansion of 1.0 in n 3.001 * [taylor]: Taking taylor expansion of (log n) in n 3.001 * [taylor]: Taking taylor expansion of n in n 3.002 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.002 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.002 * [taylor]: Taking taylor expansion of 1.0 in n 3.002 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.002 * [taylor]: Taking taylor expansion of 2.0 in n 3.007 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 3.007 * [taylor]: Taking taylor expansion of 1.0 in k 3.007 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 3.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.007 * [taylor]: Taking taylor expansion of k in k 3.009 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.009 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.009 * [taylor]: Taking taylor expansion of 0.5 in k 3.009 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.009 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.009 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.009 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.009 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.009 * [taylor]: Taking taylor expansion of 1.0 in k 3.009 * [taylor]: Taking taylor expansion of (log PI) in k 3.009 * [taylor]: Taking taylor expansion of PI in k 3.011 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.011 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.011 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.011 * [taylor]: Taking taylor expansion of 1.0 in k 3.011 * [taylor]: Taking taylor expansion of (log n) in k 3.011 * [taylor]: Taking taylor expansion of n in k 3.011 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.011 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.011 * [taylor]: Taking taylor expansion of 1.0 in k 3.011 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.011 * [taylor]: Taking taylor expansion of 2.0 in k 3.016 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 3.016 * [taylor]: Taking taylor expansion of 1.0 in k 3.016 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 3.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.016 * [taylor]: Taking taylor expansion of k in k 3.018 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.018 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.018 * [taylor]: Taking taylor expansion of 0.5 in k 3.018 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.018 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.018 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.018 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.018 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.018 * [taylor]: Taking taylor expansion of 1.0 in k 3.018 * [taylor]: Taking taylor expansion of (log PI) in k 3.018 * [taylor]: Taking taylor expansion of PI in k 3.020 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.020 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.020 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.020 * [taylor]: Taking taylor expansion of 1.0 in k 3.020 * [taylor]: Taking taylor expansion of (log n) in k 3.020 * [taylor]: Taking taylor expansion of n in k 3.020 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.020 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.020 * [taylor]: Taking taylor expansion of 1.0 in k 3.020 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.020 * [taylor]: Taking taylor expansion of 2.0 in k 3.027 * [taylor]: Taking taylor expansion of 0 in n 3.039 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.039 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.039 * [taylor]: Taking taylor expansion of +nan.0 in n 3.039 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.039 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.039 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.039 * [taylor]: Taking taylor expansion of 0.5 in n 3.039 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.039 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.039 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.039 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.039 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.039 * [taylor]: Taking taylor expansion of 1.0 in n 3.039 * [taylor]: Taking taylor expansion of (log PI) in n 3.039 * [taylor]: Taking taylor expansion of PI in n 3.041 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.041 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.041 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.041 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.041 * [taylor]: Taking taylor expansion of 1.0 in n 3.041 * [taylor]: Taking taylor expansion of (log n) in n 3.041 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.042 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.042 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.042 * [taylor]: Taking taylor expansion of 1.0 in n 3.042 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.042 * [taylor]: Taking taylor expansion of 2.0 in n 3.078 * [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 3.078 * [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 3.078 * [taylor]: Taking taylor expansion of +nan.0 in n 3.078 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.078 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.078 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.078 * [taylor]: Taking taylor expansion of 0.5 in n 3.078 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.078 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.078 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.078 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.078 * [taylor]: Taking taylor expansion of 1.0 in n 3.078 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.078 * [taylor]: Taking taylor expansion of 2.0 in n 3.080 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.080 * [taylor]: Taking taylor expansion of 1.0 in n 3.080 * [taylor]: Taking taylor expansion of (log n) in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.081 * [taylor]: Taking taylor expansion of 1.0 in n 3.081 * [taylor]: Taking taylor expansion of (log PI) in n 3.081 * [taylor]: Taking taylor expansion of PI in n 3.130 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.130 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.130 * [taylor]: Taking taylor expansion of +nan.0 in n 3.130 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.130 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.130 * [taylor]: Taking taylor expansion of 0.5 in n 3.130 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.130 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.130 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.130 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.130 * [taylor]: Taking taylor expansion of 1.0 in n 3.130 * [taylor]: Taking taylor expansion of (log PI) in n 3.130 * [taylor]: Taking taylor expansion of PI in n 3.132 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.132 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.132 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.132 * [taylor]: Taking taylor expansion of 1.0 in n 3.132 * [taylor]: Taking taylor expansion of (log n) in n 3.132 * [taylor]: Taking taylor expansion of n in n 3.133 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.133 * [taylor]: Taking taylor expansion of 1.0 in n 3.133 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.133 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.150 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.150 * [taylor]: Taking taylor expansion of 1.0 in n 3.150 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.150 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.150 * [taylor]: Taking taylor expansion of k in n 3.151 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.151 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.151 * [taylor]: Taking taylor expansion of 0.5 in n 3.151 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.151 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.151 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.151 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.151 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.151 * [taylor]: Taking taylor expansion of 1.0 in n 3.151 * [taylor]: Taking taylor expansion of (log PI) in n 3.151 * [taylor]: Taking taylor expansion of PI in n 3.153 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.153 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.153 * [taylor]: Taking taylor expansion of 1.0 in n 3.153 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.153 * [taylor]: Taking taylor expansion of 2.0 in n 3.154 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.154 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.154 * [taylor]: Taking taylor expansion of 1.0 in n 3.154 * [taylor]: Taking taylor expansion of (log n) in n 3.154 * [taylor]: Taking taylor expansion of n in n 3.161 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 3.162 * [taylor]: Taking taylor expansion of 1.0 in k 3.162 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 3.162 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.162 * [taylor]: Taking taylor expansion of k in k 3.163 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.163 * [taylor]: Taking taylor expansion of 0.5 in k 3.163 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.163 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.163 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.163 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.163 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.163 * [taylor]: Taking taylor expansion of 1.0 in k 3.163 * [taylor]: Taking taylor expansion of (log PI) in k 3.163 * [taylor]: Taking taylor expansion of PI in k 3.165 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.165 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.165 * [taylor]: Taking taylor expansion of 1.0 in k 3.165 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.165 * [taylor]: Taking taylor expansion of 2.0 in k 3.166 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.167 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.167 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.167 * [taylor]: Taking taylor expansion of 1.0 in k 3.167 * [taylor]: Taking taylor expansion of (log n) in k 3.167 * [taylor]: Taking taylor expansion of n in k 3.173 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 3.173 * [taylor]: Taking taylor expansion of 1.0 in k 3.173 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 3.173 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.173 * [taylor]: Taking taylor expansion of k in k 3.174 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.174 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.174 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.174 * [taylor]: Taking taylor expansion of 0.5 in k 3.174 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.174 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.174 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.174 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.174 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.174 * [taylor]: Taking taylor expansion of 1.0 in k 3.174 * [taylor]: Taking taylor expansion of (log PI) in k 3.174 * [taylor]: Taking taylor expansion of PI in k 3.177 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.177 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.177 * [taylor]: Taking taylor expansion of 1.0 in k 3.177 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.177 * [taylor]: Taking taylor expansion of 2.0 in k 3.178 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.178 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.178 * [taylor]: Taking taylor expansion of 1.0 in k 3.178 * [taylor]: Taking taylor expansion of (log n) in k 3.178 * [taylor]: Taking taylor expansion of n in k 3.187 * [taylor]: Taking taylor expansion of 0 in n 3.202 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.202 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.202 * [taylor]: Taking taylor expansion of +nan.0 in n 3.202 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.202 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.202 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.202 * [taylor]: Taking taylor expansion of 0.5 in n 3.202 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.202 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.202 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.202 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.202 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.202 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.202 * [taylor]: Taking taylor expansion of 1.0 in n 3.202 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.202 * [taylor]: Taking taylor expansion of 2.0 in n 3.204 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.204 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.204 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.204 * [taylor]: Taking taylor expansion of 1.0 in n 3.204 * [taylor]: Taking taylor expansion of (log PI) in n 3.204 * [taylor]: Taking taylor expansion of PI in n 3.206 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.206 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.206 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.206 * [taylor]: Taking taylor expansion of 1.0 in n 3.206 * [taylor]: Taking taylor expansion of (log n) in n 3.206 * [taylor]: Taking taylor expansion of n in n 3.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.247 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.247 * [taylor]: Taking taylor expansion of +nan.0 in n 3.247 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.247 * [taylor]: Taking taylor expansion of 0.5 in n 3.247 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.247 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.247 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.247 * [taylor]: Taking taylor expansion of 1.0 in n 3.247 * [taylor]: Taking taylor expansion of (log PI) in n 3.247 * [taylor]: Taking taylor expansion of PI in n 3.249 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.249 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.249 * [taylor]: Taking taylor expansion of 1.0 in n 3.249 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.249 * [taylor]: Taking taylor expansion of 2.0 in n 3.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.251 * [taylor]: Taking taylor expansion of 1.0 in n 3.251 * [taylor]: Taking taylor expansion of (log n) in n 3.251 * [taylor]: Taking taylor expansion of n in n 3.310 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.310 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.310 * [taylor]: Taking taylor expansion of +nan.0 in n 3.310 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.310 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.310 * [taylor]: Taking taylor expansion of 0.5 in n 3.310 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.310 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.310 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.310 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.310 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.310 * [taylor]: Taking taylor expansion of 1.0 in n 3.310 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.310 * [taylor]: Taking taylor expansion of 2.0 in n 3.312 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.312 * [taylor]: Taking taylor expansion of 1.0 in n 3.312 * [taylor]: Taking taylor expansion of (log PI) in n 3.312 * [taylor]: Taking taylor expansion of PI in n 3.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.314 * [taylor]: Taking taylor expansion of 1.0 in n 3.314 * [taylor]: Taking taylor expansion of (log n) in n 3.314 * [taylor]: Taking taylor expansion of n in n 3.336 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.336 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.336 * [taylor]: Taking taylor expansion of 1.0 in n 3.336 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.336 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.336 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.336 * [taylor]: Taking taylor expansion of -1 in n 3.336 * [taylor]: Taking taylor expansion of k in n 3.336 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.336 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.336 * [taylor]: Taking taylor expansion of 0.5 in n 3.336 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.336 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.336 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.336 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.336 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.336 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.336 * [taylor]: Taking taylor expansion of 1.0 in n 3.336 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.336 * [taylor]: Taking taylor expansion of -2.0 in n 3.338 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.338 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.338 * [taylor]: Taking taylor expansion of 1.0 in n 3.338 * [taylor]: Taking taylor expansion of (log PI) in n 3.338 * [taylor]: Taking taylor expansion of PI in n 3.340 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.340 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.340 * [taylor]: Taking taylor expansion of 1.0 in n 3.340 * [taylor]: Taking taylor expansion of (log n) in n 3.340 * [taylor]: Taking taylor expansion of n in n 3.347 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.348 * [taylor]: Taking taylor expansion of 1.0 in k 3.348 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.348 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.348 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.348 * [taylor]: Taking taylor expansion of -1 in k 3.348 * [taylor]: Taking taylor expansion of k in k 3.349 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.349 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.349 * [taylor]: Taking taylor expansion of 0.5 in k 3.349 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.349 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.349 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.349 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.349 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.350 * [taylor]: Taking taylor expansion of 1.0 in k 3.350 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.350 * [taylor]: Taking taylor expansion of -2.0 in k 3.351 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.351 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.351 * [taylor]: Taking taylor expansion of 1.0 in k 3.351 * [taylor]: Taking taylor expansion of (log PI) in k 3.351 * [taylor]: Taking taylor expansion of PI in k 3.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.354 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.354 * [taylor]: Taking taylor expansion of 1.0 in k 3.354 * [taylor]: Taking taylor expansion of (log n) in k 3.354 * [taylor]: Taking taylor expansion of n in k 3.360 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.360 * [taylor]: Taking taylor expansion of 1.0 in k 3.360 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.360 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.360 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.361 * [taylor]: Taking taylor expansion of -1 in k 3.361 * [taylor]: Taking taylor expansion of k in k 3.362 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.362 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.362 * [taylor]: Taking taylor expansion of 0.5 in k 3.362 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.362 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.362 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.362 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.362 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.362 * [taylor]: Taking taylor expansion of 1.0 in k 3.362 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.362 * [taylor]: Taking taylor expansion of -2.0 in k 3.364 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.364 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.364 * [taylor]: Taking taylor expansion of 1.0 in k 3.364 * [taylor]: Taking taylor expansion of (log PI) in k 3.364 * [taylor]: Taking taylor expansion of PI in k 3.366 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.366 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.366 * [taylor]: Taking taylor expansion of 1.0 in k 3.366 * [taylor]: Taking taylor expansion of (log n) in k 3.366 * [taylor]: Taking taylor expansion of n in k 3.375 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.375 * [taylor]: Taking taylor expansion of +nan.0 in n 3.375 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.375 * [taylor]: Taking taylor expansion of 0.5 in n 3.375 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.375 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.375 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.375 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.375 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.375 * [taylor]: Taking taylor expansion of 1.0 in n 3.375 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.375 * [taylor]: Taking taylor expansion of -2.0 in n 3.377 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.377 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.377 * [taylor]: Taking taylor expansion of 1.0 in n 3.377 * [taylor]: Taking taylor expansion of (log PI) in n 3.377 * [taylor]: Taking taylor expansion of PI in n 3.379 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.379 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.379 * [taylor]: Taking taylor expansion of 1.0 in n 3.379 * [taylor]: Taking taylor expansion of (log n) in n 3.379 * [taylor]: Taking taylor expansion of n in n 3.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.414 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.415 * [taylor]: Taking taylor expansion of +nan.0 in n 3.415 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.415 * [taylor]: Taking taylor expansion of 0.5 in n 3.415 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.415 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.415 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.415 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.415 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.415 * [taylor]: Taking taylor expansion of 1.0 in n 3.415 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.415 * [taylor]: Taking taylor expansion of -2.0 in n 3.417 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.417 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.417 * [taylor]: Taking taylor expansion of 1.0 in n 3.417 * [taylor]: Taking taylor expansion of (log PI) in n 3.417 * [taylor]: Taking taylor expansion of PI in n 3.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.419 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.419 * [taylor]: Taking taylor expansion of 1.0 in n 3.419 * [taylor]: Taking taylor expansion of (log n) in n 3.419 * [taylor]: Taking taylor expansion of n in n 3.473 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.473 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.473 * [taylor]: Taking taylor expansion of +nan.0 in n 3.473 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.473 * [taylor]: Taking taylor expansion of 0.5 in n 3.473 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.473 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.473 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.473 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.473 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.473 * [taylor]: Taking taylor expansion of 1.0 in n 3.473 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.473 * [taylor]: Taking taylor expansion of -2.0 in n 3.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.475 * [taylor]: Taking taylor expansion of 1.0 in n 3.475 * [taylor]: Taking taylor expansion of (log PI) in n 3.475 * [taylor]: Taking taylor expansion of PI in n 3.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.477 * [taylor]: Taking taylor expansion of 1.0 in n 3.477 * [taylor]: Taking taylor expansion of (log n) in n 3.477 * [taylor]: Taking taylor expansion of n in n 3.492 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.492 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.492 * [taylor]: Taking taylor expansion of 2.0 in n 3.492 * [taylor]: Taking taylor expansion of (* n PI) in n 3.493 * [taylor]: Taking taylor expansion of n in n 3.493 * [taylor]: Taking taylor expansion of PI in n 3.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.493 * [taylor]: Taking taylor expansion of 2.0 in n 3.493 * [taylor]: Taking taylor expansion of (* n PI) in n 3.493 * [taylor]: Taking taylor expansion of n in n 3.493 * [taylor]: Taking taylor expansion of PI in n 3.511 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.511 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.511 * [taylor]: Taking taylor expansion of 2.0 in n 3.511 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.511 * [taylor]: Taking taylor expansion of PI in n 3.511 * [taylor]: Taking taylor expansion of n in n 3.512 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.512 * [taylor]: Taking taylor expansion of 2.0 in n 3.512 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.512 * [taylor]: Taking taylor expansion of PI in n 3.512 * [taylor]: Taking taylor expansion of n in n 3.521 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.521 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.521 * [taylor]: Taking taylor expansion of -2.0 in n 3.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.521 * [taylor]: Taking taylor expansion of PI in n 3.521 * [taylor]: Taking taylor expansion of n in n 3.521 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.521 * [taylor]: Taking taylor expansion of -2.0 in n 3.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.521 * [taylor]: Taking taylor expansion of PI in n 3.521 * [taylor]: Taking taylor expansion of n in n 3.530 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.531 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.531 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.531 * [taylor]: Taking taylor expansion of 2.0 in n 3.531 * [taylor]: Taking taylor expansion of (* n PI) in n 3.531 * [taylor]: Taking taylor expansion of n in n 3.531 * [taylor]: Taking taylor expansion of PI in n 3.531 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.531 * [taylor]: Taking taylor expansion of 2.0 in n 3.531 * [taylor]: Taking taylor expansion of (* n PI) in n 3.531 * [taylor]: Taking taylor expansion of n in n 3.531 * [taylor]: Taking taylor expansion of PI in n 3.543 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.543 * [taylor]: Taking taylor expansion of 2.0 in n 3.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.543 * [taylor]: Taking taylor expansion of PI in n 3.543 * [taylor]: Taking taylor expansion of n in n 3.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.544 * [taylor]: Taking taylor expansion of 2.0 in n 3.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.544 * [taylor]: Taking taylor expansion of PI in n 3.544 * [taylor]: Taking taylor expansion of n in n 3.552 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.552 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.552 * [taylor]: Taking taylor expansion of -2.0 in n 3.552 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.552 * [taylor]: Taking taylor expansion of PI in n 3.552 * [taylor]: Taking taylor expansion of n in n 3.553 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.553 * [taylor]: Taking taylor expansion of -2.0 in n 3.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.553 * [taylor]: Taking taylor expansion of PI in n 3.553 * [taylor]: Taking taylor expansion of n in n 3.561 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.561 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.561 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.561 * [taylor]: Taking taylor expansion of 1.0 in k 3.561 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.561 * [taylor]: Taking taylor expansion of k in k 3.563 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.563 * [taylor]: Taking taylor expansion of 1.0 in k 3.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.563 * [taylor]: Taking taylor expansion of k in k 3.574 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.574 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.574 * [taylor]: Taking taylor expansion of 1.0 in k 3.574 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.574 * [taylor]: Taking taylor expansion of k in k 3.575 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.575 * [taylor]: Taking taylor expansion of 1.0 in k 3.575 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.575 * [taylor]: Taking taylor expansion of k in k 3.591 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.592 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.592 * [taylor]: Taking taylor expansion of 1.0 in k 3.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.592 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.592 * [taylor]: Taking taylor expansion of -1 in k 3.592 * [taylor]: Taking taylor expansion of k in k 3.593 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.593 * [taylor]: Taking taylor expansion of 1.0 in k 3.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.593 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.593 * [taylor]: Taking taylor expansion of -1 in k 3.593 * [taylor]: Taking taylor expansion of k in k 3.605 * * * [progress]: simplifying candidates 3.607 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.615 * * [simplify]: iteration 0 : 608 enodes (cost 1054 ) 3.626 * * [simplify]: iteration 1 : 2498 enodes (cost 949 ) 3.670 * * [simplify]: iteration 2 : 5001 enodes (cost 932 ) 3.675 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (- (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))) (fma (/ (- +nan.0) (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) k) (* +nan.0 (- (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 3.676 * * * [progress]: adding candidates to table 4.015 * * [progress]: iteration 4 / 4 4.015 * * * [progress]: picking best candidate 4.032 * * * * [pick]: Picked # 4.033 * * * [progress]: localizing error 4.048 * * * [progress]: generating rewritten candidates 4.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.056 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 4.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.096 * * * [progress]: generating series expansions 4.096 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.096 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.096 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.097 * [taylor]: Taking taylor expansion of 2.0 in n 4.097 * [taylor]: Taking taylor expansion of (* n PI) in n 4.097 * [taylor]: Taking taylor expansion of n in n 4.097 * [taylor]: Taking taylor expansion of PI in n 4.097 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.097 * [taylor]: Taking taylor expansion of 2.0 in n 4.097 * [taylor]: Taking taylor expansion of (* n PI) in n 4.097 * [taylor]: Taking taylor expansion of n in n 4.097 * [taylor]: Taking taylor expansion of PI in n 4.109 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.109 * [taylor]: Taking taylor expansion of 2.0 in n 4.109 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.109 * [taylor]: Taking taylor expansion of PI in n 4.109 * [taylor]: Taking taylor expansion of n in n 4.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.110 * [taylor]: Taking taylor expansion of 2.0 in n 4.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.110 * [taylor]: Taking taylor expansion of PI in n 4.110 * [taylor]: Taking taylor expansion of n in n 4.118 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 4.118 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.119 * [taylor]: Taking taylor expansion of 2.0 in n 4.119 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.119 * [taylor]: Taking taylor expansion of PI in n 4.119 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.119 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.119 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.119 * [taylor]: Taking taylor expansion of -1 in n 4.119 * [taylor]: Taking taylor expansion of n in n 4.120 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.120 * [taylor]: Taking taylor expansion of 2.0 in n 4.120 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.120 * [taylor]: Taking taylor expansion of PI in n 4.120 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.120 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.120 * [taylor]: Taking taylor expansion of -1 in n 4.120 * [taylor]: Taking taylor expansion of n in n 4.140 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 4.140 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 4.141 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.141 * [taylor]: Taking taylor expansion of 2.0 in n 4.141 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.141 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.141 * [taylor]: Taking taylor expansion of n in n 4.142 * [taylor]: Taking taylor expansion of PI in n 4.142 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.142 * [taylor]: Taking taylor expansion of 2.0 in n 4.142 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.142 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.142 * [taylor]: Taking taylor expansion of n in n 4.143 * [taylor]: Taking taylor expansion of PI in n 4.171 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 4.171 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.171 * [taylor]: Taking taylor expansion of 2.0 in n 4.171 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.171 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.171 * [taylor]: Taking taylor expansion of n in n 4.172 * [taylor]: Taking taylor expansion of PI in n 4.172 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.172 * [taylor]: Taking taylor expansion of 2.0 in n 4.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.172 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.172 * [taylor]: Taking taylor expansion of n in n 4.174 * [taylor]: Taking taylor expansion of PI in n 4.195 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 4.195 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.195 * [taylor]: Taking taylor expansion of 2.0 in n 4.195 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.195 * [taylor]: Taking taylor expansion of PI in n 4.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.195 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.195 * [taylor]: Taking taylor expansion of -1 in n 4.195 * [taylor]: Taking taylor expansion of n in n 4.197 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.197 * [taylor]: Taking taylor expansion of 2.0 in n 4.197 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.197 * [taylor]: Taking taylor expansion of PI in n 4.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.197 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.197 * [taylor]: Taking taylor expansion of -1 in n 4.197 * [taylor]: Taking taylor expansion of n in n 4.217 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.218 * [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 4.218 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.218 * [taylor]: Taking taylor expansion of 1.0 in n 4.218 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.218 * [taylor]: Taking taylor expansion of k in n 4.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.218 * [taylor]: Taking taylor expansion of 0.5 in n 4.218 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.218 * [taylor]: Taking taylor expansion of 1.0 in n 4.218 * [taylor]: Taking taylor expansion of k in n 4.218 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.218 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.218 * [taylor]: Taking taylor expansion of 2.0 in n 4.218 * [taylor]: Taking taylor expansion of (* n PI) in n 4.218 * [taylor]: Taking taylor expansion of n in n 4.219 * [taylor]: Taking taylor expansion of PI in n 4.224 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.224 * [taylor]: Taking taylor expansion of 1.0 in k 4.224 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.224 * [taylor]: Taking taylor expansion of k in k 4.225 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.225 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.225 * [taylor]: Taking taylor expansion of 0.5 in k 4.225 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.225 * [taylor]: Taking taylor expansion of 1.0 in k 4.225 * [taylor]: Taking taylor expansion of k in k 4.225 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.225 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.225 * [taylor]: Taking taylor expansion of 2.0 in k 4.225 * [taylor]: Taking taylor expansion of (* n PI) in k 4.225 * [taylor]: Taking taylor expansion of n in k 4.225 * [taylor]: Taking taylor expansion of PI in k 4.226 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.226 * [taylor]: Taking taylor expansion of 1.0 in k 4.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.226 * [taylor]: Taking taylor expansion of k in k 4.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.228 * [taylor]: Taking taylor expansion of 0.5 in k 4.228 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.228 * [taylor]: Taking taylor expansion of 1.0 in k 4.228 * [taylor]: Taking taylor expansion of k in k 4.228 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.228 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.228 * [taylor]: Taking taylor expansion of 2.0 in k 4.228 * [taylor]: Taking taylor expansion of (* n PI) in k 4.228 * [taylor]: Taking taylor expansion of n in k 4.228 * [taylor]: Taking taylor expansion of PI in k 4.229 * [taylor]: Taking taylor expansion of 0 in n 4.241 * [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 4.241 * [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 4.241 * [taylor]: Taking taylor expansion of +nan.0 in n 4.241 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.241 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.241 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.241 * [taylor]: Taking taylor expansion of 0.5 in n 4.241 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.241 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.241 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.241 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.241 * [taylor]: Taking taylor expansion of 1.0 in n 4.241 * [taylor]: Taking taylor expansion of (log PI) in n 4.241 * [taylor]: Taking taylor expansion of PI in n 4.243 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.243 * [taylor]: Taking taylor expansion of 1.0 in n 4.243 * [taylor]: Taking taylor expansion of (log n) in n 4.243 * [taylor]: Taking taylor expansion of n in n 4.244 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.244 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.244 * [taylor]: Taking taylor expansion of 1.0 in n 4.244 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.244 * [taylor]: Taking taylor expansion of 2.0 in n 4.263 * [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 4.263 * [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 4.263 * [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 4.263 * [taylor]: Taking taylor expansion of +nan.0 in n 4.263 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.263 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.263 * [taylor]: Taking taylor expansion of 0.5 in n 4.263 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.263 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.263 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.263 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.263 * [taylor]: Taking taylor expansion of 1.0 in n 4.263 * [taylor]: Taking taylor expansion of (log PI) in n 4.263 * [taylor]: Taking taylor expansion of PI in n 4.268 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.268 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.268 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.268 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.268 * [taylor]: Taking taylor expansion of 1.0 in n 4.268 * [taylor]: Taking taylor expansion of (log n) in n 4.268 * [taylor]: Taking taylor expansion of n in n 4.269 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.269 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.269 * [taylor]: Taking taylor expansion of 1.0 in n 4.269 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.269 * [taylor]: Taking taylor expansion of 2.0 in n 4.274 * [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 4.274 * [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 4.274 * [taylor]: Taking taylor expansion of +nan.0 in n 4.274 * [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 4.274 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.274 * [taylor]: Taking taylor expansion of 0.5 in n 4.274 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.274 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.274 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.274 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.274 * [taylor]: Taking taylor expansion of 1.0 in n 4.274 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.274 * [taylor]: Taking taylor expansion of 2.0 in n 4.276 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.276 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.276 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.276 * [taylor]: Taking taylor expansion of 1.0 in n 4.276 * [taylor]: Taking taylor expansion of (log PI) in n 4.276 * [taylor]: Taking taylor expansion of PI in n 4.278 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.278 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.278 * [taylor]: Taking taylor expansion of 1.0 in n 4.278 * [taylor]: Taking taylor expansion of (log n) in n 4.278 * [taylor]: Taking taylor expansion of n in n 4.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.282 * [taylor]: Taking taylor expansion of 2.0 in n 4.282 * [taylor]: Taking taylor expansion of (* n PI) in n 4.282 * [taylor]: Taking taylor expansion of n in n 4.282 * [taylor]: Taking taylor expansion of PI in n 4.340 * [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 4.340 * [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 4.340 * [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 4.340 * [taylor]: Taking taylor expansion of +nan.0 in n 4.340 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.340 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.340 * [taylor]: Taking taylor expansion of 0.5 in n 4.340 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.340 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.340 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.340 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.340 * [taylor]: Taking taylor expansion of 1.0 in n 4.340 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.340 * [taylor]: Taking taylor expansion of 2.0 in n 4.342 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.342 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.342 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.342 * [taylor]: Taking taylor expansion of 1.0 in n 4.342 * [taylor]: Taking taylor expansion of (log n) in n 4.342 * [taylor]: Taking taylor expansion of n in n 4.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.342 * [taylor]: Taking taylor expansion of 1.0 in n 4.343 * [taylor]: Taking taylor expansion of (log PI) in n 4.343 * [taylor]: Taking taylor expansion of PI in n 4.348 * [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 4.348 * [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 4.348 * [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 4.348 * [taylor]: Taking taylor expansion of +nan.0 in n 4.348 * [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 4.348 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.348 * [taylor]: Taking taylor expansion of 0.5 in n 4.348 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.348 * [taylor]: Taking taylor expansion of 1.0 in n 4.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.348 * [taylor]: Taking taylor expansion of 2.0 in n 4.350 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.350 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.350 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.350 * [taylor]: Taking taylor expansion of 1.0 in n 4.350 * [taylor]: Taking taylor expansion of (log PI) in n 4.350 * [taylor]: Taking taylor expansion of PI in n 4.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.352 * [taylor]: Taking taylor expansion of 1.0 in n 4.352 * [taylor]: Taking taylor expansion of (log n) in n 4.352 * [taylor]: Taking taylor expansion of n in n 4.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.356 * [taylor]: Taking taylor expansion of 2.0 in n 4.356 * [taylor]: Taking taylor expansion of (* n PI) in n 4.356 * [taylor]: Taking taylor expansion of n in n 4.356 * [taylor]: Taking taylor expansion of PI in n 4.359 * [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 4.359 * [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 4.359 * [taylor]: Taking taylor expansion of +nan.0 in n 4.359 * [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 4.360 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.360 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.360 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.360 * [taylor]: Taking taylor expansion of 0.5 in n 4.360 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.360 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.360 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.360 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.360 * [taylor]: Taking taylor expansion of 1.0 in n 4.360 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.360 * [taylor]: Taking taylor expansion of 2.0 in n 4.361 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.361 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.362 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.362 * [taylor]: Taking taylor expansion of 1.0 in n 4.362 * [taylor]: Taking taylor expansion of (log PI) in n 4.362 * [taylor]: Taking taylor expansion of PI in n 4.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.363 * [taylor]: Taking taylor expansion of 1.0 in n 4.364 * [taylor]: Taking taylor expansion of (log n) in n 4.364 * [taylor]: Taking taylor expansion of n in n 4.368 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.368 * [taylor]: Taking taylor expansion of 2.0 in n 4.368 * [taylor]: Taking taylor expansion of (* n PI) in n 4.368 * [taylor]: Taking taylor expansion of n in n 4.368 * [taylor]: Taking taylor expansion of PI in n 4.448 * [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 4.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.448 * [taylor]: Taking taylor expansion of 1.0 in n 4.448 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.448 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.448 * [taylor]: Taking taylor expansion of k in n 4.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.448 * [taylor]: Taking taylor expansion of 0.5 in n 4.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.448 * [taylor]: Taking taylor expansion of 1.0 in n 4.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.448 * [taylor]: Taking taylor expansion of k in n 4.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.448 * [taylor]: Taking taylor expansion of 2.0 in n 4.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.448 * [taylor]: Taking taylor expansion of PI in n 4.448 * [taylor]: Taking taylor expansion of n in n 4.452 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.452 * [taylor]: Taking taylor expansion of 1.0 in k 4.452 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.452 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.452 * [taylor]: Taking taylor expansion of k in k 4.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.453 * [taylor]: Taking taylor expansion of 0.5 in k 4.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.453 * [taylor]: Taking taylor expansion of 1.0 in k 4.454 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.454 * [taylor]: Taking taylor expansion of k in k 4.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.454 * [taylor]: Taking taylor expansion of 2.0 in k 4.454 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.454 * [taylor]: Taking taylor expansion of PI in k 4.454 * [taylor]: Taking taylor expansion of n in k 4.455 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.455 * [taylor]: Taking taylor expansion of 1.0 in k 4.455 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.455 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.455 * [taylor]: Taking taylor expansion of k in k 4.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.456 * [taylor]: Taking taylor expansion of 0.5 in k 4.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.456 * [taylor]: Taking taylor expansion of 1.0 in k 4.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.456 * [taylor]: Taking taylor expansion of k in k 4.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.457 * [taylor]: Taking taylor expansion of 2.0 in k 4.457 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.457 * [taylor]: Taking taylor expansion of PI in k 4.457 * [taylor]: Taking taylor expansion of n in k 4.458 * [taylor]: Taking taylor expansion of 0 in n 4.459 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.459 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.459 * [taylor]: Taking taylor expansion of +nan.0 in n 4.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.459 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.459 * [taylor]: Taking taylor expansion of 0.5 in n 4.459 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.459 * [taylor]: Taking taylor expansion of 2.0 in n 4.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.459 * [taylor]: Taking taylor expansion of PI in n 4.459 * [taylor]: Taking taylor expansion of n in n 4.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.461 * [taylor]: Taking taylor expansion of 1.0 in n 4.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.461 * [taylor]: Taking taylor expansion of k in n 4.469 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.469 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.469 * [taylor]: Taking taylor expansion of +nan.0 in n 4.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.469 * [taylor]: Taking taylor expansion of 0.5 in n 4.469 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.469 * [taylor]: Taking taylor expansion of 2.0 in n 4.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.469 * [taylor]: Taking taylor expansion of PI in n 4.469 * [taylor]: Taking taylor expansion of n in n 4.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.470 * [taylor]: Taking taylor expansion of 1.0 in n 4.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.470 * [taylor]: Taking taylor expansion of k in n 4.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.487 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.487 * [taylor]: Taking taylor expansion of +nan.0 in n 4.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.487 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.487 * [taylor]: Taking taylor expansion of 0.5 in n 4.487 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.487 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.487 * [taylor]: Taking taylor expansion of 2.0 in n 4.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.487 * [taylor]: Taking taylor expansion of PI in n 4.487 * [taylor]: Taking taylor expansion of n in n 4.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.488 * [taylor]: Taking taylor expansion of 1.0 in n 4.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.488 * [taylor]: Taking taylor expansion of k in n 4.497 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.497 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.497 * [taylor]: Taking taylor expansion of 1.0 in n 4.497 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.497 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.497 * [taylor]: Taking taylor expansion of 0.5 in n 4.497 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.497 * [taylor]: Taking taylor expansion of k in n 4.497 * [taylor]: Taking taylor expansion of 1.0 in n 4.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.498 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.498 * [taylor]: Taking taylor expansion of 2.0 in n 4.498 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.498 * [taylor]: Taking taylor expansion of PI in n 4.498 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.498 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.498 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.498 * [taylor]: Taking taylor expansion of -1 in n 4.498 * [taylor]: Taking taylor expansion of n in n 4.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.502 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.502 * [taylor]: Taking taylor expansion of -1 in n 4.502 * [taylor]: Taking taylor expansion of k in n 4.503 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.503 * [taylor]: Taking taylor expansion of 1.0 in k 4.503 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.503 * [taylor]: Taking taylor expansion of 0.5 in k 4.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.503 * [taylor]: Taking taylor expansion of k in k 4.504 * [taylor]: Taking taylor expansion of 1.0 in k 4.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.504 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.504 * [taylor]: Taking taylor expansion of 2.0 in k 4.504 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.504 * [taylor]: Taking taylor expansion of PI in k 4.504 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.504 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.504 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.504 * [taylor]: Taking taylor expansion of -1 in k 4.504 * [taylor]: Taking taylor expansion of n in k 4.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.505 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.505 * [taylor]: Taking taylor expansion of -1 in k 4.505 * [taylor]: Taking taylor expansion of k in k 4.507 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.507 * [taylor]: Taking taylor expansion of 1.0 in k 4.507 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.507 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.507 * [taylor]: Taking taylor expansion of 0.5 in k 4.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.507 * [taylor]: Taking taylor expansion of k in k 4.507 * [taylor]: Taking taylor expansion of 1.0 in k 4.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.507 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.507 * [taylor]: Taking taylor expansion of 2.0 in k 4.507 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.507 * [taylor]: Taking taylor expansion of PI in k 4.507 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.507 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.507 * [taylor]: Taking taylor expansion of -1 in k 4.507 * [taylor]: Taking taylor expansion of n in k 4.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.509 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.509 * [taylor]: Taking taylor expansion of -1 in k 4.509 * [taylor]: Taking taylor expansion of k in k 4.511 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))))) in n 4.511 * [taylor]: Taking taylor expansion of +nan.0 in n 4.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 4.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 4.511 * [taylor]: Taking taylor expansion of 0.5 in n 4.511 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 4.511 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.511 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.511 * [taylor]: Taking taylor expansion of 2.0 in n 4.511 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.511 * [taylor]: Taking taylor expansion of PI in n 4.511 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.511 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.511 * [taylor]: Taking taylor expansion of -1 in n 4.511 * [taylor]: Taking taylor expansion of n in n 4.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.520 * [taylor]: Taking taylor expansion of k in n 4.520 * [taylor]: Taking taylor expansion of 1.0 in n 4.527 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))))) in n 4.527 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))))) in n 4.527 * [taylor]: Taking taylor expansion of +nan.0 in n 4.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 4.527 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 4.527 * [taylor]: Taking taylor expansion of 0.5 in n 4.527 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 4.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.527 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.527 * [taylor]: Taking taylor expansion of 2.0 in n 4.527 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.527 * [taylor]: Taking taylor expansion of PI in n 4.527 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.527 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.527 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.527 * [taylor]: Taking taylor expansion of -1 in n 4.527 * [taylor]: Taking taylor expansion of n in n 4.530 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.531 * [taylor]: Taking taylor expansion of k in n 4.531 * [taylor]: Taking taylor expansion of 1.0 in n 4.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.557 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.557 * [taylor]: Taking taylor expansion of 0.5 in k 4.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.557 * [taylor]: Taking taylor expansion of 1.0 in k 4.557 * [taylor]: Taking taylor expansion of k in k 4.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.558 * [taylor]: Taking taylor expansion of 2.0 in k 4.558 * [taylor]: Taking taylor expansion of (* n PI) in k 4.558 * [taylor]: Taking taylor expansion of n in k 4.558 * [taylor]: Taking taylor expansion of PI in k 4.559 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.559 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.559 * [taylor]: Taking taylor expansion of 0.5 in n 4.559 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.559 * [taylor]: Taking taylor expansion of 1.0 in n 4.559 * [taylor]: Taking taylor expansion of k in n 4.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.559 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.559 * [taylor]: Taking taylor expansion of 2.0 in n 4.559 * [taylor]: Taking taylor expansion of (* n PI) in n 4.559 * [taylor]: Taking taylor expansion of n in n 4.559 * [taylor]: Taking taylor expansion of PI in n 4.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.564 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.564 * [taylor]: Taking taylor expansion of 0.5 in n 4.564 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.564 * [taylor]: Taking taylor expansion of 1.0 in n 4.564 * [taylor]: Taking taylor expansion of k in n 4.564 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.564 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.564 * [taylor]: Taking taylor expansion of 2.0 in n 4.564 * [taylor]: Taking taylor expansion of (* n PI) in n 4.564 * [taylor]: Taking taylor expansion of n in n 4.564 * [taylor]: Taking taylor expansion of PI in n 4.570 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.570 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.570 * [taylor]: Taking taylor expansion of 0.5 in k 4.570 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.570 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.570 * [taylor]: Taking taylor expansion of 1.0 in k 4.570 * [taylor]: Taking taylor expansion of k in k 4.570 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.570 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.570 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.570 * [taylor]: Taking taylor expansion of 2.0 in k 4.570 * [taylor]: Taking taylor expansion of PI in k 4.571 * [taylor]: Taking taylor expansion of (log n) in k 4.571 * [taylor]: Taking taylor expansion of n in k 4.580 * [taylor]: Taking taylor expansion of 0 in k 4.597 * [taylor]: Taking taylor expansion of 0 in k 4.622 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.623 * [taylor]: Taking taylor expansion of 0.5 in k 4.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.623 * [taylor]: Taking taylor expansion of k in k 4.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.623 * [taylor]: Taking taylor expansion of 2.0 in k 4.623 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.623 * [taylor]: Taking taylor expansion of PI in k 4.623 * [taylor]: Taking taylor expansion of n in k 4.624 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.624 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.624 * [taylor]: Taking taylor expansion of 0.5 in n 4.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.624 * [taylor]: Taking taylor expansion of 1.0 in n 4.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.624 * [taylor]: Taking taylor expansion of k in n 4.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.624 * [taylor]: Taking taylor expansion of 2.0 in n 4.624 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.624 * [taylor]: Taking taylor expansion of PI in n 4.624 * [taylor]: Taking taylor expansion of n in n 4.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.628 * [taylor]: Taking taylor expansion of 0.5 in n 4.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.628 * [taylor]: Taking taylor expansion of 1.0 in n 4.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.628 * [taylor]: Taking taylor expansion of k in n 4.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.628 * [taylor]: Taking taylor expansion of 2.0 in n 4.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.628 * [taylor]: Taking taylor expansion of PI in n 4.628 * [taylor]: Taking taylor expansion of n in n 4.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.632 * [taylor]: Taking taylor expansion of 0.5 in k 4.632 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.632 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.632 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.632 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.632 * [taylor]: Taking taylor expansion of 2.0 in k 4.632 * [taylor]: Taking taylor expansion of PI in k 4.633 * [taylor]: Taking taylor expansion of (log n) in k 4.633 * [taylor]: Taking taylor expansion of n in k 4.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.633 * [taylor]: Taking taylor expansion of 1.0 in k 4.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.633 * [taylor]: Taking taylor expansion of k in k 4.643 * [taylor]: Taking taylor expansion of 0 in k 4.651 * [taylor]: Taking taylor expansion of 0 in k 4.660 * [taylor]: Taking taylor expansion of 0 in k 4.661 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.662 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.662 * [taylor]: Taking taylor expansion of 0.5 in k 4.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.662 * [taylor]: Taking taylor expansion of k in k 4.662 * [taylor]: Taking taylor expansion of 1.0 in k 4.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.662 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.662 * [taylor]: Taking taylor expansion of 2.0 in k 4.662 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.662 * [taylor]: Taking taylor expansion of PI in k 4.662 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.662 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.662 * [taylor]: Taking taylor expansion of -1 in k 4.662 * [taylor]: Taking taylor expansion of n in k 4.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.664 * [taylor]: Taking taylor expansion of 0.5 in n 4.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.664 * [taylor]: Taking taylor expansion of k in n 4.664 * [taylor]: Taking taylor expansion of 1.0 in n 4.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.664 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.664 * [taylor]: Taking taylor expansion of 2.0 in n 4.664 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.664 * [taylor]: Taking taylor expansion of PI in n 4.664 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.664 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.664 * [taylor]: Taking taylor expansion of -1 in n 4.664 * [taylor]: Taking taylor expansion of n in n 4.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.669 * [taylor]: Taking taylor expansion of 0.5 in n 4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.669 * [taylor]: Taking taylor expansion of k in n 4.669 * [taylor]: Taking taylor expansion of 1.0 in n 4.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.669 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.669 * [taylor]: Taking taylor expansion of 2.0 in n 4.669 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.669 * [taylor]: Taking taylor expansion of PI in n 4.669 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.669 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.669 * [taylor]: Taking taylor expansion of -1 in n 4.669 * [taylor]: Taking taylor expansion of n in n 4.673 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 4.673 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 4.673 * [taylor]: Taking taylor expansion of 0.5 in k 4.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 4.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.674 * [taylor]: Taking taylor expansion of k in k 4.674 * [taylor]: Taking taylor expansion of 1.0 in k 4.674 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 4.674 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 4.674 * [taylor]: Taking taylor expansion of +nan.0 in k 4.674 * [taylor]: Taking taylor expansion of PI in k 4.700 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 4.700 * [taylor]: Taking taylor expansion of -1 in k 4.700 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 4.700 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 4.700 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 4.700 * [taylor]: Taking taylor expansion of +nan.0 in k 4.700 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.700 * [taylor]: Taking taylor expansion of k in k 4.700 * [taylor]: Taking taylor expansion of (- +nan.0) in k 4.700 * [taylor]: Taking taylor expansion of +nan.0 in k 4.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 4.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 4.701 * [taylor]: Taking taylor expansion of 0.5 in k 4.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 4.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.701 * [taylor]: Taking taylor expansion of k in k 4.701 * [taylor]: Taking taylor expansion of 1.0 in k 4.701 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 4.701 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 4.701 * [taylor]: Taking taylor expansion of +nan.0 in k 4.701 * [taylor]: Taking taylor expansion of PI in k 4.735 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) in k 4.735 * [taylor]: Taking taylor expansion of -1 in k 4.735 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) in k 4.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 4.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 4.735 * [taylor]: Taking taylor expansion of 0.5 in k 4.735 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 4.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.735 * [taylor]: Taking taylor expansion of k in k 4.735 * [taylor]: Taking taylor expansion of 1.0 in k 4.735 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 4.735 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 4.735 * [taylor]: Taking taylor expansion of +nan.0 in k 4.736 * [taylor]: Taking taylor expansion of PI in k 4.739 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))) in k 4.740 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 4.740 * [taylor]: Taking taylor expansion of +nan.0 in k 4.740 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.740 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.740 * [taylor]: Taking taylor expansion of k in k 4.740 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))) in k 4.740 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 4.740 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 4.740 * [taylor]: Taking taylor expansion of +nan.0 in k 4.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.740 * [taylor]: Taking taylor expansion of k in k 4.740 * [taylor]: Taking taylor expansion of (- +nan.0) in k 4.740 * [taylor]: Taking taylor expansion of +nan.0 in k 4.757 * * * [progress]: simplifying candidates 4.759 * [simplify]: Simplifying using # : (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (expm1 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n)) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) (- (* +nan.0 (/ (* k (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) n))))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) 4.771 * * [simplify]: iteration 0 : 1063 enodes (cost 1848 ) 4.789 * * [simplify]: iteration 1 : 4473 enodes (cost 1609 ) 4.859 * * [simplify]: iteration 2 : 5001 enodes (cost 1585 ) 4.867 * [simplify]: Simplified to: (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (fma (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) 1 (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 1.0) (* (sqrt k) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (cbrt (sqrt k)) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (cbrt k)) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) 1.0)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) 1.0)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (expm1 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (- 1.0 k) 2))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +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)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (fma (- +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) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n)) (fma +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (- (* +nan.0 (/ (* k (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) n)))))) (fma (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (fma 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (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 (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) 4.868 * * * [progress]: adding candidates to table 5.365 * [progress]: [Phase 3 of 3] Extracting. 5.365 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.367 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.367 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.399 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # #) 5.433 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 5.464 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 5.494 * * * [regime]: Found split indices: #