36.361 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.154 * * * [progress]: [2/2] Setting up program. 0.162 * [progress]: [Phase 2 of 3] Improving. 0.163 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.163 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.163 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.163 * * [simplify]: Extracting # 2 : cost 7 inf + 0 0.163 * * [simplify]: Extracting # 3 : cost 11 inf + 1 0.163 * * [simplify]: Extracting # 4 : cost 5 inf + 252 0.163 * * [simplify]: Extracting # 5 : cost 4 inf + 253 0.164 * * [simplify]: Extracting # 6 : cost 1 inf + 753 0.164 * * [simplify]: Extracting # 7 : cost 0 inf + 1248 0.164 * * [simplify]: iteration 0 : 13 enodes (cost 495 ) 0.170 * * [simplify]: Extracting # 0 : cost 0 inf + 1248 0.171 * * [simplify]: Extracting # 1 : cost 6 inf + 1248 0.171 * * [simplify]: Extracting # 2 : cost 2 inf + 1830 0.172 * * [simplify]: Extracting # 3 : cost 3 inf + 1830 0.172 * * [simplify]: Extracting # 4 : cost 2 inf + 1831 0.173 * * [simplify]: Extracting # 5 : cost 0 inf + 2371 0.173 * * [simplify]: iteration 1 : 29 enodes (cost 495 ) 0.185 * * [simplify]: Extracting # 0 : cost 0 inf + 2371 0.185 * * [simplify]: Extracting # 1 : cost 12 inf + 2371 0.186 * * [simplify]: Extracting # 2 : cost 2 inf + 4892 0.188 * * [simplify]: Extracting # 3 : cost 1 inf + 5056 0.189 * * [simplify]: Extracting # 4 : cost 0 inf + 5512 0.191 * * [simplify]: iteration 2 : 58 enodes (cost 495 ) 0.212 * * [simplify]: Extracting # 0 : cost 0 inf + 5512 0.214 * * [simplify]: Extracting # 1 : cost 20 inf + 5512 0.217 * * [simplify]: Extracting # 2 : cost 4 inf + 12372 0.219 * * [simplify]: Extracting # 3 : cost 0 inf + 13495 0.221 * * [simplify]: iteration 3 : 114 enodes (cost 495 ) 0.248 * * [simplify]: Extracting # 0 : cost 0 inf + 13495 0.273 * * [simplify]: Extracting # 1 : cost 50 inf + 13256 0.283 * * [simplify]: Extracting # 2 : cost 4 inf + 30708 0.293 * * [simplify]: Extracting # 3 : cost 0 inf + 31756 0.302 * * [simplify]: Extracting # 4 : cost 0 inf + 31360 0.312 * * [simplify]: Extracting # 5 : cost 0 inf + 31241 0.323 * * [simplify]: iteration 4 : 285 enodes (cost 495 ) 0.466 * * [simplify]: Extracting # 0 : cost 0 inf + 31241 0.477 * * [simplify]: Extracting # 1 : cost 142 inf + 30594 0.503 * * [simplify]: Extracting # 2 : cost 5 inf + 112503 0.534 * * [simplify]: Extracting # 3 : cost 0 inf + 112460 0.564 * * [simplify]: Extracting # 4 : cost 0 inf + 111869 0.596 * * [simplify]: Extracting # 5 : cost 0 inf + 111108 0.628 * * [simplify]: Extracting # 6 : cost 0 inf + 110732 0.656 * * [simplify]: iteration 5 : 806 enodes (cost 495 ) 1.729 * * [simplify]: Extracting # 0 : cost 0 inf + 110732 1.888 * * [simplify]: Extracting # 1 : cost 376 inf + 104587 2.025 * * [simplify]: Extracting # 2 : cost 26 inf + 334079 2.182 * * [simplify]: Extracting # 3 : cost 3 inf + 333205 2.394 * * [simplify]: Extracting # 4 : cost 0 inf + 332393 2.619 * * [simplify]: Extracting # 5 : cost 0 inf + 330453 2.821 * * [simplify]: Extracting # 6 : cost 0 inf + 330219 2.987 * * [simplify]: iteration 6 : 2693 enodes (cost 495 ) 4.307 * * [simplify]: Extracting # 0 : cost 0 inf + 330219 4.523 * * [simplify]: Extracting # 1 : cost 1125 inf + 327025 4.814 * * [simplify]: Extracting # 2 : cost 23 inf + 637328 5.085 * * [simplify]: Extracting # 3 : cost 4 inf + 638635 5.392 * * [simplify]: Extracting # 4 : cost 0 inf + 638647 5.757 * * [simplify]: Extracting # 5 : cost 0 inf + 638435 6.081 * * [simplify]: iteration complete: 5001 enodes (cost 495 ) 6.081 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 6.082 * * [progress]: iteration 1 / 4 6.082 * * * [progress]: picking best candidate 6.086 * * * * [pick]: Picked # 6.086 * * * [progress]: localizing error 6.116 * * * [progress]: generating rewritten candidates 6.116 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.162 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.243 * * * [progress]: generating series expansions 6.243 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.244 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 6.245 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 6.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.245 * [taylor]: Taking taylor expansion of 0.5 in k 6.245 * [backup-simplify]: Simplify 0.5 into 0.5 6.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.245 * [taylor]: Taking taylor expansion of 1.0 in k 6.245 * [backup-simplify]: Simplify 1.0 into 1.0 6.245 * [taylor]: Taking taylor expansion of k in k 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.245 * [taylor]: Taking taylor expansion of 2.0 in k 6.245 * [backup-simplify]: Simplify 2.0 into 2.0 6.245 * [taylor]: Taking taylor expansion of (* n PI) in k 6.245 * [taylor]: Taking taylor expansion of n in k 6.245 * [backup-simplify]: Simplify n into n 6.245 * [taylor]: Taking taylor expansion of PI in k 6.245 * [backup-simplify]: Simplify PI into PI 6.245 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.245 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.245 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.246 * [backup-simplify]: Simplify (- 0) into 0 6.247 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.247 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.248 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.248 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.248 * [taylor]: Taking taylor expansion of 0.5 in n 6.248 * [backup-simplify]: Simplify 0.5 into 0.5 6.248 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.248 * [taylor]: Taking taylor expansion of 1.0 in n 6.248 * [backup-simplify]: Simplify 1.0 into 1.0 6.248 * [taylor]: Taking taylor expansion of k in n 6.248 * [backup-simplify]: Simplify k into k 6.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.248 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.248 * [taylor]: Taking taylor expansion of 2.0 in n 6.248 * [backup-simplify]: Simplify 2.0 into 2.0 6.248 * [taylor]: Taking taylor expansion of (* n PI) in n 6.248 * [taylor]: Taking taylor expansion of n in n 6.248 * [backup-simplify]: Simplify 0 into 0 6.248 * [backup-simplify]: Simplify 1 into 1 6.248 * [taylor]: Taking taylor expansion of PI in n 6.248 * [backup-simplify]: Simplify PI into PI 6.249 * [backup-simplify]: Simplify (* 0 PI) into 0 6.249 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.251 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.253 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.254 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.254 * [backup-simplify]: Simplify (- k) into (- k) 6.254 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.254 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.256 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.257 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.258 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.258 * [taylor]: Taking taylor expansion of 0.5 in n 6.258 * [backup-simplify]: Simplify 0.5 into 0.5 6.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.258 * [taylor]: Taking taylor expansion of 1.0 in n 6.258 * [backup-simplify]: Simplify 1.0 into 1.0 6.259 * [taylor]: Taking taylor expansion of k in n 6.259 * [backup-simplify]: Simplify k into k 6.259 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.259 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.259 * [taylor]: Taking taylor expansion of 2.0 in n 6.259 * [backup-simplify]: Simplify 2.0 into 2.0 6.259 * [taylor]: Taking taylor expansion of (* n PI) in n 6.259 * [taylor]: Taking taylor expansion of n in n 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [taylor]: Taking taylor expansion of PI in n 6.259 * [backup-simplify]: Simplify PI into PI 6.259 * [backup-simplify]: Simplify (* 0 PI) into 0 6.260 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.263 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.264 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.264 * [backup-simplify]: Simplify (- k) into (- k) 6.264 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.264 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.266 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.267 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.268 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.268 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.268 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.269 * [taylor]: Taking taylor expansion of 0.5 in k 6.269 * [backup-simplify]: Simplify 0.5 into 0.5 6.269 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.269 * [taylor]: Taking taylor expansion of 1.0 in k 6.269 * [backup-simplify]: Simplify 1.0 into 1.0 6.269 * [taylor]: Taking taylor expansion of k in k 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.269 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.269 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.269 * [taylor]: Taking taylor expansion of 2.0 in k 6.269 * [backup-simplify]: Simplify 2.0 into 2.0 6.269 * [taylor]: Taking taylor expansion of PI in k 6.269 * [backup-simplify]: Simplify PI into PI 6.270 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.271 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.271 * [taylor]: Taking taylor expansion of (log n) in k 6.271 * [taylor]: Taking taylor expansion of n in k 6.271 * [backup-simplify]: Simplify n into n 6.271 * [backup-simplify]: Simplify (log n) into (log n) 6.271 * [backup-simplify]: Simplify (- 0) into 0 6.272 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.273 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 6.274 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 6.275 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 6.276 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.277 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 6.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.282 * [backup-simplify]: Simplify (- 0) into 0 6.282 * [backup-simplify]: Simplify (+ 0 0) into 0 6.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 6.285 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.286 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 6.288 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.288 * [taylor]: Taking taylor expansion of 0 in k 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 6.292 * [backup-simplify]: Simplify (+ 0 0) into 0 6.293 * [backup-simplify]: Simplify (- 1) into -1 6.293 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.295 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 6.297 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 6.300 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.304 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 6.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.306 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.311 * [backup-simplify]: Simplify (- 0) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 6.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.315 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.318 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.318 * [taylor]: Taking taylor expansion of 0 in k 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.326 * [backup-simplify]: Simplify (- 0) into 0 6.326 * [backup-simplify]: Simplify (+ 0 0) into 0 6.327 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 6.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 6.331 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 6.334 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 6.341 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 6.341 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 6.341 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.342 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.342 * [taylor]: Taking taylor expansion of 0.5 in k 6.342 * [backup-simplify]: Simplify 0.5 into 0.5 6.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.342 * [taylor]: Taking taylor expansion of 1.0 in k 6.342 * [backup-simplify]: Simplify 1.0 into 1.0 6.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.342 * [taylor]: Taking taylor expansion of k in k 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 1 into 1 6.342 * [backup-simplify]: Simplify (/ 1 1) into 1 6.342 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.342 * [taylor]: Taking taylor expansion of 2.0 in k 6.342 * [backup-simplify]: Simplify 2.0 into 2.0 6.342 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.342 * [taylor]: Taking taylor expansion of PI in k 6.342 * [backup-simplify]: Simplify PI into PI 6.342 * [taylor]: Taking taylor expansion of n in k 6.342 * [backup-simplify]: Simplify n into n 6.342 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.342 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.342 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.343 * [backup-simplify]: Simplify (- 1) into -1 6.343 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.343 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.343 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.344 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 6.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.344 * [taylor]: Taking taylor expansion of 0.5 in n 6.344 * [backup-simplify]: Simplify 0.5 into 0.5 6.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.344 * [taylor]: Taking taylor expansion of 1.0 in n 6.344 * [backup-simplify]: Simplify 1.0 into 1.0 6.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.344 * [taylor]: Taking taylor expansion of k in n 6.344 * [backup-simplify]: Simplify k into k 6.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.344 * [taylor]: Taking taylor expansion of 2.0 in n 6.344 * [backup-simplify]: Simplify 2.0 into 2.0 6.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.344 * [taylor]: Taking taylor expansion of PI in n 6.344 * [backup-simplify]: Simplify PI into PI 6.344 * [taylor]: Taking taylor expansion of n in n 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.344 * [backup-simplify]: Simplify (/ PI 1) into PI 6.345 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.345 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.345 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.346 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.346 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.346 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.347 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 6.348 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.348 * [taylor]: Taking taylor expansion of 0.5 in n 6.348 * [backup-simplify]: Simplify 0.5 into 0.5 6.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.348 * [taylor]: Taking taylor expansion of 1.0 in n 6.348 * [backup-simplify]: Simplify 1.0 into 1.0 6.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.348 * [taylor]: Taking taylor expansion of k in n 6.348 * [backup-simplify]: Simplify k into k 6.348 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.348 * [taylor]: Taking taylor expansion of 2.0 in n 6.348 * [backup-simplify]: Simplify 2.0 into 2.0 6.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.348 * [taylor]: Taking taylor expansion of PI in n 6.348 * [backup-simplify]: Simplify PI into PI 6.348 * [taylor]: Taking taylor expansion of n in n 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (/ PI 1) into PI 6.349 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.350 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.350 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.350 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.350 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.351 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.351 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 6.352 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 6.352 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 6.352 * [taylor]: Taking taylor expansion of 0.5 in k 6.352 * [backup-simplify]: Simplify 0.5 into 0.5 6.352 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 6.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.352 * [taylor]: Taking taylor expansion of 1.0 in k 6.352 * [backup-simplify]: Simplify 1.0 into 1.0 6.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.353 * [taylor]: Taking taylor expansion of k in k 6.353 * [backup-simplify]: Simplify 0 into 0 6.353 * [backup-simplify]: Simplify 1 into 1 6.353 * [backup-simplify]: Simplify (/ 1 1) into 1 6.353 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.353 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.353 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.353 * [taylor]: Taking taylor expansion of 2.0 in k 6.353 * [backup-simplify]: Simplify 2.0 into 2.0 6.353 * [taylor]: Taking taylor expansion of PI in k 6.353 * [backup-simplify]: Simplify PI into PI 6.353 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.354 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.354 * [taylor]: Taking taylor expansion of (log n) in k 6.354 * [taylor]: Taking taylor expansion of n in k 6.354 * [backup-simplify]: Simplify n into n 6.354 * [backup-simplify]: Simplify (log n) into (log n) 6.354 * [backup-simplify]: Simplify (- 1) into -1 6.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.355 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.355 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 6.356 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 6.357 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 6.357 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.358 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.359 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.361 * [backup-simplify]: Simplify (- 0) into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.363 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.364 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.364 * [taylor]: Taking taylor expansion of 0 in k 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 6.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.370 * [backup-simplify]: Simplify (- 0) into 0 6.371 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 6.372 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.373 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 6.374 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.375 * [taylor]: Taking taylor expansion of 0 in k 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify 0 into 0 6.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.379 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 6.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.380 * [backup-simplify]: Simplify (- 0) into 0 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 6.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.383 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 6.384 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.384 * [taylor]: Taking taylor expansion of 0 in k 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 6.386 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 6.386 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.386 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.386 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.386 * [taylor]: Taking taylor expansion of 0.5 in k 6.386 * [backup-simplify]: Simplify 0.5 into 0.5 6.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.386 * [taylor]: Taking taylor expansion of k in k 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.386 * [backup-simplify]: Simplify (/ 1 1) into 1 6.386 * [taylor]: Taking taylor expansion of 1.0 in k 6.386 * [backup-simplify]: Simplify 1.0 into 1.0 6.386 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.386 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.386 * [taylor]: Taking taylor expansion of -2.0 in k 6.386 * [backup-simplify]: Simplify -2.0 into -2.0 6.386 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.386 * [taylor]: Taking taylor expansion of PI in k 6.386 * [backup-simplify]: Simplify PI into PI 6.386 * [taylor]: Taking taylor expansion of n in k 6.386 * [backup-simplify]: Simplify n into n 6.386 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.387 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.387 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.387 * [backup-simplify]: Simplify (+ 1 0) into 1 6.387 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.387 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.387 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 6.387 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.387 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.387 * [taylor]: Taking taylor expansion of 0.5 in n 6.387 * [backup-simplify]: Simplify 0.5 into 0.5 6.387 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.388 * [taylor]: Taking taylor expansion of k in n 6.388 * [backup-simplify]: Simplify k into k 6.388 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.388 * [taylor]: Taking taylor expansion of 1.0 in n 6.388 * [backup-simplify]: Simplify 1.0 into 1.0 6.388 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.388 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.388 * [taylor]: Taking taylor expansion of -2.0 in n 6.388 * [backup-simplify]: Simplify -2.0 into -2.0 6.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.388 * [taylor]: Taking taylor expansion of PI in n 6.388 * [backup-simplify]: Simplify PI into PI 6.388 * [taylor]: Taking taylor expansion of n in n 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (/ PI 1) into PI 6.388 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.389 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.389 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.389 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.392 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 6.393 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.393 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.393 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.393 * [taylor]: Taking taylor expansion of 0.5 in n 6.393 * [backup-simplify]: Simplify 0.5 into 0.5 6.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.393 * [taylor]: Taking taylor expansion of k in n 6.393 * [backup-simplify]: Simplify k into k 6.394 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.394 * [taylor]: Taking taylor expansion of 1.0 in n 6.394 * [backup-simplify]: Simplify 1.0 into 1.0 6.394 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.394 * [taylor]: Taking taylor expansion of -2.0 in n 6.394 * [backup-simplify]: Simplify -2.0 into -2.0 6.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.394 * [taylor]: Taking taylor expansion of PI in n 6.394 * [backup-simplify]: Simplify PI into PI 6.394 * [taylor]: Taking taylor expansion of n in n 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (/ PI 1) into PI 6.395 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.396 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.396 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.396 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.399 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 6.400 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 6.400 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 6.400 * [taylor]: Taking taylor expansion of 0.5 in k 6.400 * [backup-simplify]: Simplify 0.5 into 0.5 6.400 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 6.400 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.400 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.400 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.400 * [taylor]: Taking taylor expansion of -2.0 in k 6.400 * [backup-simplify]: Simplify -2.0 into -2.0 6.400 * [taylor]: Taking taylor expansion of PI in k 6.400 * [backup-simplify]: Simplify PI into PI 6.401 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.402 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.402 * [taylor]: Taking taylor expansion of (log n) in k 6.402 * [taylor]: Taking taylor expansion of n in k 6.402 * [backup-simplify]: Simplify n into n 6.402 * [backup-simplify]: Simplify (log n) into (log n) 6.402 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.402 * [taylor]: Taking taylor expansion of k in k 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.403 * [backup-simplify]: Simplify (/ 1 1) into 1 6.403 * [taylor]: Taking taylor expansion of 1.0 in k 6.403 * [backup-simplify]: Simplify 1.0 into 1.0 6.403 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 6.404 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 6.404 * [backup-simplify]: Simplify (+ 1 0) into 1 6.405 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 6.406 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 6.408 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.409 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.412 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.413 * [backup-simplify]: Simplify (+ 0 0) into 0 6.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.416 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 6.418 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.418 * [taylor]: Taking taylor expansion of 0 in k 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 6.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.424 * [backup-simplify]: Simplify (+ 0 0) into 0 6.425 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 6.427 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.428 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 6.431 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 6.431 * [taylor]: Taking taylor expansion of 0 in k 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.433 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.440 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 6.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 6.440 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 6.443 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.446 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 6.449 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 6.449 * [taylor]: Taking taylor expansion of 0 in k 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 6.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.450 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 6.450 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.450 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.450 * [taylor]: Taking taylor expansion of 1.0 in k 6.450 * [backup-simplify]: Simplify 1.0 into 1.0 6.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.451 * [taylor]: Taking taylor expansion of k in k 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (/ 1 1) into 1 6.451 * [backup-simplify]: Simplify (sqrt 0) into 0 6.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.453 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.453 * [taylor]: Taking taylor expansion of 1.0 in k 6.453 * [backup-simplify]: Simplify 1.0 into 1.0 6.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.453 * [taylor]: Taking taylor expansion of k in k 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (/ 1 1) into 1 6.454 * [backup-simplify]: Simplify (sqrt 0) into 0 6.455 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.456 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.456 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.458 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.462 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.464 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.471 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.473 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 6.474 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 6.474 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.474 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.474 * [taylor]: Taking taylor expansion of 1.0 in k 6.474 * [backup-simplify]: Simplify 1.0 into 1.0 6.474 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.474 * [taylor]: Taking taylor expansion of k in k 6.474 * [backup-simplify]: Simplify 0 into 0 6.474 * [backup-simplify]: Simplify 1 into 1 6.474 * [backup-simplify]: Simplify (sqrt 0) into 0 6.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.475 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.476 * [taylor]: Taking taylor expansion of 1.0 in k 6.476 * [backup-simplify]: Simplify 1.0 into 1.0 6.476 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.476 * [taylor]: Taking taylor expansion of k in k 6.476 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify 1 into 1 6.476 * [backup-simplify]: Simplify (sqrt 0) into 0 6.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.478 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.478 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 6.480 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.485 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 6.485 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.491 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 6.492 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.493 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 6.494 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 6.494 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.494 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.494 * [taylor]: Taking taylor expansion of 1.0 in k 6.494 * [backup-simplify]: Simplify 1.0 into 1.0 6.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.494 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.494 * [taylor]: Taking taylor expansion of -1 in k 6.494 * [backup-simplify]: Simplify -1 into -1 6.494 * [taylor]: Taking taylor expansion of k in k 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (/ -1 1) into -1 6.495 * [backup-simplify]: Simplify (sqrt 0) into 0 6.496 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.497 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.497 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.497 * [taylor]: Taking taylor expansion of 1.0 in k 6.497 * [backup-simplify]: Simplify 1.0 into 1.0 6.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.497 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.497 * [taylor]: Taking taylor expansion of -1 in k 6.497 * [backup-simplify]: Simplify -1 into -1 6.497 * [taylor]: Taking taylor expansion of k in k 6.497 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify 1 into 1 6.498 * [backup-simplify]: Simplify (/ -1 1) into -1 6.498 * [backup-simplify]: Simplify (sqrt 0) into 0 6.499 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.500 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 6.500 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.510 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.511 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.520 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.520 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.521 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.521 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.522 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.522 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.522 * [taylor]: Taking taylor expansion of 2.0 in n 6.522 * [backup-simplify]: Simplify 2.0 into 2.0 6.522 * [taylor]: Taking taylor expansion of (* n PI) in n 6.522 * [taylor]: Taking taylor expansion of n in n 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of PI in n 6.522 * [backup-simplify]: Simplify PI into PI 6.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.522 * [taylor]: Taking taylor expansion of 2.0 in n 6.522 * [backup-simplify]: Simplify 2.0 into 2.0 6.522 * [taylor]: Taking taylor expansion of (* n PI) in n 6.523 * [taylor]: Taking taylor expansion of n in n 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [taylor]: Taking taylor expansion of PI in n 6.523 * [backup-simplify]: Simplify PI into PI 6.523 * [backup-simplify]: Simplify (* 0 PI) into 0 6.524 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.524 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.527 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.527 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.530 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 6.530 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.532 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.535 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.542 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.546 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 6.547 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 6.547 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.547 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.547 * [taylor]: Taking taylor expansion of 2.0 in n 6.547 * [backup-simplify]: Simplify 2.0 into 2.0 6.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.547 * [taylor]: Taking taylor expansion of PI in n 6.547 * [backup-simplify]: Simplify PI into PI 6.547 * [taylor]: Taking taylor expansion of n in n 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (/ PI 1) into PI 6.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.548 * [taylor]: Taking taylor expansion of 2.0 in n 6.548 * [backup-simplify]: Simplify 2.0 into 2.0 6.548 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.548 * [taylor]: Taking taylor expansion of PI in n 6.548 * [backup-simplify]: Simplify PI into PI 6.548 * [taylor]: Taking taylor expansion of n in n 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (/ PI 1) into PI 6.549 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.549 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.551 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.554 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 6.566 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 6.566 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.566 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.566 * [taylor]: Taking taylor expansion of -2.0 in n 6.566 * [backup-simplify]: Simplify -2.0 into -2.0 6.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.566 * [taylor]: Taking taylor expansion of PI in n 6.566 * [backup-simplify]: Simplify PI into PI 6.566 * [taylor]: Taking taylor expansion of n in n 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (/ PI 1) into PI 6.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.567 * [taylor]: Taking taylor expansion of -2.0 in n 6.567 * [backup-simplify]: Simplify -2.0 into -2.0 6.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.567 * [taylor]: Taking taylor expansion of PI in n 6.567 * [backup-simplify]: Simplify PI into PI 6.567 * [taylor]: Taking taylor expansion of n in n 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (/ PI 1) into PI 6.568 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.569 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.572 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.577 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.577 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.583 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 6.584 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.584 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 6.585 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 6.585 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 6.585 * [taylor]: Taking taylor expansion of 1.0 in n 6.585 * [backup-simplify]: Simplify 1.0 into 1.0 6.585 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 6.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.585 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.585 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.585 * [taylor]: Taking taylor expansion of 0.5 in n 6.585 * [backup-simplify]: Simplify 0.5 into 0.5 6.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.585 * [taylor]: Taking taylor expansion of 1.0 in n 6.585 * [backup-simplify]: Simplify 1.0 into 1.0 6.585 * [taylor]: Taking taylor expansion of k in n 6.585 * [backup-simplify]: Simplify k into k 6.585 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.585 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.585 * [taylor]: Taking taylor expansion of 2.0 in n 6.585 * [backup-simplify]: Simplify 2.0 into 2.0 6.585 * [taylor]: Taking taylor expansion of (* n PI) in n 6.585 * [taylor]: Taking taylor expansion of n in n 6.585 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify 1 into 1 6.585 * [taylor]: Taking taylor expansion of PI in n 6.585 * [backup-simplify]: Simplify PI into PI 6.586 * [backup-simplify]: Simplify (* 0 PI) into 0 6.586 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.589 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.591 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.591 * [backup-simplify]: Simplify (- k) into (- k) 6.591 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 6.591 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 6.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.593 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 6.595 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 6.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.595 * [taylor]: Taking taylor expansion of k in n 6.595 * [backup-simplify]: Simplify k into k 6.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.595 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 6.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 6.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 6.596 * [taylor]: Taking taylor expansion of 1.0 in k 6.596 * [backup-simplify]: Simplify 1.0 into 1.0 6.596 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 6.596 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.596 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.596 * [taylor]: Taking taylor expansion of 0.5 in k 6.596 * [backup-simplify]: Simplify 0.5 into 0.5 6.596 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.596 * [taylor]: Taking taylor expansion of 1.0 in k 6.596 * [backup-simplify]: Simplify 1.0 into 1.0 6.596 * [taylor]: Taking taylor expansion of k in k 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.596 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.596 * [taylor]: Taking taylor expansion of 2.0 in k 6.596 * [backup-simplify]: Simplify 2.0 into 2.0 6.596 * [taylor]: Taking taylor expansion of (* n PI) in k 6.596 * [taylor]: Taking taylor expansion of n in k 6.596 * [backup-simplify]: Simplify n into n 6.596 * [taylor]: Taking taylor expansion of PI in k 6.596 * [backup-simplify]: Simplify PI into PI 6.596 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.596 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.597 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.597 * [backup-simplify]: Simplify (- 0) into 0 6.597 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.598 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.598 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.598 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.598 * [taylor]: Taking taylor expansion of k in k 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 1 into 1 6.599 * [backup-simplify]: Simplify (/ 1 1) into 1 6.599 * [backup-simplify]: Simplify (sqrt 0) into 0 6.600 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.600 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 6.600 * [taylor]: Taking taylor expansion of 1.0 in k 6.601 * [backup-simplify]: Simplify 1.0 into 1.0 6.601 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 6.601 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.601 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.601 * [taylor]: Taking taylor expansion of 0.5 in k 6.601 * [backup-simplify]: Simplify 0.5 into 0.5 6.601 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.601 * [taylor]: Taking taylor expansion of 1.0 in k 6.601 * [backup-simplify]: Simplify 1.0 into 1.0 6.601 * [taylor]: Taking taylor expansion of k in k 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify 1 into 1 6.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.601 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.601 * [taylor]: Taking taylor expansion of 2.0 in k 6.601 * [backup-simplify]: Simplify 2.0 into 2.0 6.601 * [taylor]: Taking taylor expansion of (* n PI) in k 6.601 * [taylor]: Taking taylor expansion of n in k 6.601 * [backup-simplify]: Simplify n into n 6.601 * [taylor]: Taking taylor expansion of PI in k 6.601 * [backup-simplify]: Simplify PI into PI 6.601 * [backup-simplify]: Simplify (* n PI) into (* n PI) 6.601 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 6.601 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 6.602 * [backup-simplify]: Simplify (- 0) into 0 6.602 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.603 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 6.603 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 6.603 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 6.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.603 * [taylor]: Taking taylor expansion of k in k 6.603 * [backup-simplify]: Simplify 0 into 0 6.603 * [backup-simplify]: Simplify 1 into 1 6.604 * [backup-simplify]: Simplify (/ 1 1) into 1 6.604 * [backup-simplify]: Simplify (sqrt 0) into 0 6.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.606 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 6.606 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.606 * [taylor]: Taking taylor expansion of 0 in n 6.606 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 6.607 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 6.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 6.608 * [backup-simplify]: Simplify (- 1) into -1 6.609 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.610 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 6.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 6.612 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 6.614 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.616 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.616 * [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 6.616 * [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 6.616 * [taylor]: Taking taylor expansion of +nan.0 in n 6.616 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.616 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.616 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.616 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.616 * [taylor]: Taking taylor expansion of 0.5 in n 6.616 * [backup-simplify]: Simplify 0.5 into 0.5 6.616 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.616 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.616 * [taylor]: Taking taylor expansion of 1.0 in n 6.616 * [backup-simplify]: Simplify 1.0 into 1.0 6.616 * [taylor]: Taking taylor expansion of (log PI) in n 6.616 * [taylor]: Taking taylor expansion of PI in n 6.616 * [backup-simplify]: Simplify PI into PI 6.617 * [backup-simplify]: Simplify (log PI) into (log PI) 6.618 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.619 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.619 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.619 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.619 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.619 * [taylor]: Taking taylor expansion of 1.0 in n 6.619 * [backup-simplify]: Simplify 1.0 into 1.0 6.620 * [taylor]: Taking taylor expansion of (log n) in n 6.620 * [taylor]: Taking taylor expansion of n in n 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (log 1) into 0 6.620 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.620 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.621 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.621 * [taylor]: Taking taylor expansion of 1.0 in n 6.621 * [backup-simplify]: Simplify 1.0 into 1.0 6.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.621 * [taylor]: Taking taylor expansion of 2.0 in n 6.621 * [backup-simplify]: Simplify 2.0 into 2.0 6.621 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.622 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.623 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.624 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.625 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.627 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.628 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.629 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.631 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.632 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.633 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.638 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 6.639 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 6.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 6.641 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 6.645 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 6.648 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 6.658 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 6.658 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 6.658 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.658 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 6.658 * [taylor]: Taking taylor expansion of +nan.0 in n 6.658 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.658 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 6.658 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.658 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.658 * [taylor]: Taking taylor expansion of 0.5 in n 6.658 * [backup-simplify]: Simplify 0.5 into 0.5 6.658 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.658 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.658 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.658 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.658 * [taylor]: Taking taylor expansion of 1.0 in n 6.658 * [backup-simplify]: Simplify 1.0 into 1.0 6.658 * [taylor]: Taking taylor expansion of (log PI) in n 6.658 * [taylor]: Taking taylor expansion of PI in n 6.658 * [backup-simplify]: Simplify PI into PI 6.659 * [backup-simplify]: Simplify (log PI) into (log PI) 6.660 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.662 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.662 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.662 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.662 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.662 * [taylor]: Taking taylor expansion of 1.0 in n 6.662 * [backup-simplify]: Simplify 1.0 into 1.0 6.662 * [taylor]: Taking taylor expansion of (log n) in n 6.662 * [taylor]: Taking taylor expansion of n in n 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (log 1) into 0 6.663 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.663 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.663 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.663 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.663 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.663 * [taylor]: Taking taylor expansion of 1.0 in n 6.663 * [backup-simplify]: Simplify 1.0 into 1.0 6.663 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.663 * [taylor]: Taking taylor expansion of 2.0 in n 6.663 * [backup-simplify]: Simplify 2.0 into 2.0 6.664 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.665 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.666 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.667 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.668 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.669 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.670 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.671 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.671 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.671 * [taylor]: Taking taylor expansion of 2.0 in n 6.672 * [backup-simplify]: Simplify 2.0 into 2.0 6.672 * [taylor]: Taking taylor expansion of (* n PI) in n 6.672 * [taylor]: Taking taylor expansion of n in n 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.672 * [taylor]: Taking taylor expansion of PI in n 6.672 * [backup-simplify]: Simplify PI into PI 6.672 * [backup-simplify]: Simplify (* 0 PI) into 0 6.672 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.673 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.674 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.675 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.675 * [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 6.675 * [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 6.675 * [taylor]: Taking taylor expansion of +nan.0 in n 6.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.675 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.675 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.675 * [taylor]: Taking taylor expansion of 0.5 in n 6.675 * [backup-simplify]: Simplify 0.5 into 0.5 6.675 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.675 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.675 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.675 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.675 * [taylor]: Taking taylor expansion of 1.0 in n 6.675 * [backup-simplify]: Simplify 1.0 into 1.0 6.675 * [taylor]: Taking taylor expansion of (log PI) in n 6.675 * [taylor]: Taking taylor expansion of PI in n 6.675 * [backup-simplify]: Simplify PI into PI 6.675 * [backup-simplify]: Simplify (log PI) into (log PI) 6.676 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.677 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.677 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.677 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.677 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.677 * [taylor]: Taking taylor expansion of 1.0 in n 6.677 * [backup-simplify]: Simplify 1.0 into 1.0 6.677 * [taylor]: Taking taylor expansion of (log n) in n 6.677 * [taylor]: Taking taylor expansion of n in n 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify (log 1) into 0 6.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.678 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.678 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.678 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.678 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.678 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.678 * [taylor]: Taking taylor expansion of 1.0 in n 6.678 * [backup-simplify]: Simplify 1.0 into 1.0 6.678 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.678 * [taylor]: Taking taylor expansion of 2.0 in n 6.678 * [backup-simplify]: Simplify 2.0 into 2.0 6.678 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.679 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.680 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.680 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.681 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.682 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.683 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.683 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.684 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.686 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 6.687 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 6.688 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.689 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 6.692 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 6.696 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 6.699 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 6.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 6.701 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 6.702 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 6.703 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.704 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.704 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 6.705 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 6.706 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 6.708 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 6.709 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 6.710 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 6.712 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 6.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 6.715 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 6.718 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 6.720 * [backup-simplify]: Simplify (- 0) into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.726 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 6.731 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 6.731 * [backup-simplify]: Simplify (- 0) into 0 6.732 * [backup-simplify]: Simplify (+ 0 0) into 0 6.733 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 6.734 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 6.735 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 6.738 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 6.745 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 6.745 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 6.745 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 6.745 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 6.745 * [taylor]: Taking taylor expansion of +nan.0 in n 6.745 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.745 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 6.745 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.745 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.745 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.745 * [taylor]: Taking taylor expansion of 0.5 in n 6.745 * [backup-simplify]: Simplify 0.5 into 0.5 6.745 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.745 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.745 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.745 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.745 * [taylor]: Taking taylor expansion of 1.0 in n 6.745 * [backup-simplify]: Simplify 1.0 into 1.0 6.745 * [taylor]: Taking taylor expansion of (log PI) in n 6.745 * [taylor]: Taking taylor expansion of PI in n 6.745 * [backup-simplify]: Simplify PI into PI 6.746 * [backup-simplify]: Simplify (log PI) into (log PI) 6.746 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.747 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.747 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.747 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.747 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.747 * [taylor]: Taking taylor expansion of 1.0 in n 6.747 * [backup-simplify]: Simplify 1.0 into 1.0 6.747 * [taylor]: Taking taylor expansion of (log n) in n 6.747 * [taylor]: Taking taylor expansion of n in n 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.748 * [backup-simplify]: Simplify (log 1) into 0 6.748 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.748 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.748 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.748 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.748 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.748 * [taylor]: Taking taylor expansion of 1.0 in n 6.748 * [backup-simplify]: Simplify 1.0 into 1.0 6.748 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.748 * [taylor]: Taking taylor expansion of 2.0 in n 6.748 * [backup-simplify]: Simplify 2.0 into 2.0 6.748 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.749 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.750 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.750 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.751 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.752 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.753 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.753 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.754 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.754 * [taylor]: Taking taylor expansion of 2.0 in n 6.754 * [backup-simplify]: Simplify 2.0 into 2.0 6.754 * [taylor]: Taking taylor expansion of (* n PI) in n 6.754 * [taylor]: Taking taylor expansion of n in n 6.754 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify 1 into 1 6.754 * [taylor]: Taking taylor expansion of PI in n 6.754 * [backup-simplify]: Simplify PI into PI 6.754 * [backup-simplify]: Simplify (* 0 PI) into 0 6.754 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.755 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.756 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.757 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.757 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 6.757 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 6.757 * [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 6.757 * [taylor]: Taking taylor expansion of +nan.0 in n 6.757 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.757 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 6.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.757 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.757 * [taylor]: Taking taylor expansion of 0.5 in n 6.757 * [backup-simplify]: Simplify 0.5 into 0.5 6.757 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.757 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.757 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.757 * [taylor]: Taking taylor expansion of 1.0 in n 6.757 * [backup-simplify]: Simplify 1.0 into 1.0 6.757 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.757 * [taylor]: Taking taylor expansion of 2.0 in n 6.757 * [backup-simplify]: Simplify 2.0 into 2.0 6.757 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.758 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.759 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.759 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.759 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.759 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.759 * [taylor]: Taking taylor expansion of 1.0 in n 6.759 * [backup-simplify]: Simplify 1.0 into 1.0 6.759 * [taylor]: Taking taylor expansion of (log n) in n 6.759 * [taylor]: Taking taylor expansion of n in n 6.759 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify 1 into 1 6.759 * [backup-simplify]: Simplify (log 1) into 0 6.760 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.760 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.760 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.760 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.760 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.760 * [taylor]: Taking taylor expansion of 1.0 in n 6.760 * [backup-simplify]: Simplify 1.0 into 1.0 6.760 * [taylor]: Taking taylor expansion of (log PI) in n 6.760 * [taylor]: Taking taylor expansion of PI in n 6.760 * [backup-simplify]: Simplify PI into PI 6.760 * [backup-simplify]: Simplify (log PI) into (log PI) 6.761 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.762 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.762 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 6.763 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 6.764 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 6.768 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 6.770 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 6.770 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 6.770 * [taylor]: Taking taylor expansion of +nan.0 in n 6.770 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.770 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 6.770 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.770 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.770 * [taylor]: Taking taylor expansion of 0.5 in n 6.770 * [backup-simplify]: Simplify 0.5 into 0.5 6.770 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.770 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.770 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.770 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.770 * [taylor]: Taking taylor expansion of 1.0 in n 6.770 * [backup-simplify]: Simplify 1.0 into 1.0 6.770 * [taylor]: Taking taylor expansion of (log PI) in n 6.770 * [taylor]: Taking taylor expansion of PI in n 6.770 * [backup-simplify]: Simplify PI into PI 6.770 * [backup-simplify]: Simplify (log PI) into (log PI) 6.771 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 6.772 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 6.772 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.772 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.772 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.772 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.772 * [taylor]: Taking taylor expansion of 1.0 in n 6.772 * [backup-simplify]: Simplify 1.0 into 1.0 6.772 * [taylor]: Taking taylor expansion of (log n) in n 6.772 * [taylor]: Taking taylor expansion of n in n 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (log 1) into 0 6.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.773 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 6.773 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 6.773 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.773 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.773 * [taylor]: Taking taylor expansion of 1.0 in n 6.773 * [backup-simplify]: Simplify 1.0 into 1.0 6.773 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.773 * [taylor]: Taking taylor expansion of 2.0 in n 6.773 * [backup-simplify]: Simplify 2.0 into 2.0 6.773 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.774 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 6.774 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 6.775 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 6.776 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 6.776 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 6.777 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 6.778 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 6.778 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.778 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.778 * [taylor]: Taking taylor expansion of 2.0 in n 6.778 * [backup-simplify]: Simplify 2.0 into 2.0 6.778 * [taylor]: Taking taylor expansion of (* n PI) in n 6.778 * [taylor]: Taking taylor expansion of n in n 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 1 into 1 6.778 * [taylor]: Taking taylor expansion of PI in n 6.778 * [backup-simplify]: Simplify PI into PI 6.779 * [backup-simplify]: Simplify (* 0 PI) into 0 6.779 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.781 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 6.781 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.782 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.785 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 6.787 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 6.788 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 6.789 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.789 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 6.791 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 6.792 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 6.794 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 6.796 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 6.803 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 6.814 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2)))))))))) 6.828 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (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) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 6.838 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 6.848 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 6.864 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +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 n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 6.864 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 6.864 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 6.865 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 6.865 * [taylor]: Taking taylor expansion of 1.0 in n 6.865 * [backup-simplify]: Simplify 1.0 into 1.0 6.865 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 6.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.865 * [taylor]: Taking taylor expansion of 0.5 in n 6.865 * [backup-simplify]: Simplify 0.5 into 0.5 6.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.865 * [taylor]: Taking taylor expansion of 1.0 in n 6.865 * [backup-simplify]: Simplify 1.0 into 1.0 6.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.865 * [taylor]: Taking taylor expansion of k in n 6.865 * [backup-simplify]: Simplify k into k 6.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.865 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.865 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.865 * [taylor]: Taking taylor expansion of 2.0 in n 6.865 * [backup-simplify]: Simplify 2.0 into 2.0 6.865 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.865 * [taylor]: Taking taylor expansion of PI in n 6.865 * [backup-simplify]: Simplify PI into PI 6.865 * [taylor]: Taking taylor expansion of n in n 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [backup-simplify]: Simplify (/ PI 1) into PI 6.866 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.866 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.866 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.866 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.867 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.870 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.872 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 6.873 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.873 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.873 * [taylor]: Taking taylor expansion of k in n 6.873 * [backup-simplify]: Simplify k into k 6.873 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 6.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 6.873 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 6.873 * [taylor]: Taking taylor expansion of 1.0 in k 6.873 * [backup-simplify]: Simplify 1.0 into 1.0 6.873 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 6.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.873 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.873 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.873 * [taylor]: Taking taylor expansion of 0.5 in k 6.873 * [backup-simplify]: Simplify 0.5 into 0.5 6.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.874 * [taylor]: Taking taylor expansion of 1.0 in k 6.874 * [backup-simplify]: Simplify 1.0 into 1.0 6.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.874 * [taylor]: Taking taylor expansion of k in k 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 1 into 1 6.874 * [backup-simplify]: Simplify (/ 1 1) into 1 6.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.874 * [taylor]: Taking taylor expansion of 2.0 in k 6.874 * [backup-simplify]: Simplify 2.0 into 2.0 6.874 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.874 * [taylor]: Taking taylor expansion of PI in k 6.874 * [backup-simplify]: Simplify PI into PI 6.874 * [taylor]: Taking taylor expansion of n in k 6.874 * [backup-simplify]: Simplify n into n 6.874 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.874 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.875 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.875 * [backup-simplify]: Simplify (- 1) into -1 6.875 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.876 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.876 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.876 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 6.876 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.876 * [taylor]: Taking taylor expansion of k in k 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 1 into 1 6.877 * [backup-simplify]: Simplify (sqrt 0) into 0 6.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.878 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 6.878 * [taylor]: Taking taylor expansion of 1.0 in k 6.878 * [backup-simplify]: Simplify 1.0 into 1.0 6.878 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 6.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.879 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.879 * [taylor]: Taking taylor expansion of 0.5 in k 6.879 * [backup-simplify]: Simplify 0.5 into 0.5 6.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.879 * [taylor]: Taking taylor expansion of 1.0 in k 6.879 * [backup-simplify]: Simplify 1.0 into 1.0 6.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.879 * [taylor]: Taking taylor expansion of k in k 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [backup-simplify]: Simplify (/ 1 1) into 1 6.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.879 * [taylor]: Taking taylor expansion of 2.0 in k 6.879 * [backup-simplify]: Simplify 2.0 into 2.0 6.879 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.879 * [taylor]: Taking taylor expansion of PI in k 6.879 * [backup-simplify]: Simplify PI into PI 6.879 * [taylor]: Taking taylor expansion of n in k 6.879 * [backup-simplify]: Simplify n into n 6.879 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.880 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 6.880 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 6.880 * [backup-simplify]: Simplify (- 1) into -1 6.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.881 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.881 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 6.881 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 6.881 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.881 * [taylor]: Taking taylor expansion of k in k 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (sqrt 0) into 0 6.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.884 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 6.884 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.884 * [taylor]: Taking taylor expansion of 0 in n 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 6.886 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 6.886 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 6.886 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 6.886 * [taylor]: Taking taylor expansion of +nan.0 in n 6.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.886 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 6.886 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 6.886 * [taylor]: Taking taylor expansion of 0.5 in n 6.886 * [backup-simplify]: Simplify 0.5 into 0.5 6.886 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 6.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.886 * [taylor]: Taking taylor expansion of 1.0 in n 6.886 * [backup-simplify]: Simplify 1.0 into 1.0 6.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.886 * [taylor]: Taking taylor expansion of k in n 6.886 * [backup-simplify]: Simplify k into k 6.886 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.886 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.886 * [taylor]: Taking taylor expansion of 2.0 in n 6.886 * [backup-simplify]: Simplify 2.0 into 2.0 6.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.886 * [taylor]: Taking taylor expansion of PI in n 6.886 * [backup-simplify]: Simplify PI into PI 6.886 * [taylor]: Taking taylor expansion of n in n 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.887 * [backup-simplify]: Simplify (/ PI 1) into PI 6.887 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.889 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.889 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.889 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.891 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 6.893 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 6.894 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.895 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 6.897 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 6.898 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 6.898 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.902 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 6.903 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 6.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 6.903 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 6.903 * [taylor]: Taking taylor expansion of +nan.0 in n 6.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.903 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 6.903 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 6.903 * [taylor]: Taking taylor expansion of 0.5 in n 6.903 * [backup-simplify]: Simplify 0.5 into 0.5 6.903 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 6.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.903 * [taylor]: Taking taylor expansion of 1.0 in n 6.903 * [backup-simplify]: Simplify 1.0 into 1.0 6.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.903 * [taylor]: Taking taylor expansion of k in n 6.904 * [backup-simplify]: Simplify k into k 6.904 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.904 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.904 * [taylor]: Taking taylor expansion of 2.0 in n 6.904 * [backup-simplify]: Simplify 2.0 into 2.0 6.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.904 * [taylor]: Taking taylor expansion of PI in n 6.904 * [backup-simplify]: Simplify PI into PI 6.904 * [taylor]: Taking taylor expansion of n in n 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (/ PI 1) into PI 6.905 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.906 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.906 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.906 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.907 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.909 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 6.910 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 6.911 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.912 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 6.914 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 6.915 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 6.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.917 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 6.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ 0 0) into 0 6.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.922 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 6.926 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 6.928 * [backup-simplify]: Simplify (- 0) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.933 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 6.934 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 6.934 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 6.934 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 6.934 * [taylor]: Taking taylor expansion of +nan.0 in n 6.934 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.934 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 6.934 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 6.935 * [taylor]: Taking taylor expansion of 0.5 in n 6.935 * [backup-simplify]: Simplify 0.5 into 0.5 6.935 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 6.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.935 * [taylor]: Taking taylor expansion of 1.0 in n 6.935 * [backup-simplify]: Simplify 1.0 into 1.0 6.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.935 * [taylor]: Taking taylor expansion of k in n 6.935 * [backup-simplify]: Simplify k into k 6.935 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.935 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.935 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.935 * [taylor]: Taking taylor expansion of 2.0 in n 6.935 * [backup-simplify]: Simplify 2.0 into 2.0 6.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.935 * [taylor]: Taking taylor expansion of PI in n 6.935 * [backup-simplify]: Simplify PI into PI 6.935 * [taylor]: Taking taylor expansion of n in n 6.935 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify 1 into 1 6.936 * [backup-simplify]: Simplify (/ PI 1) into PI 6.936 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.937 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.937 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.937 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.939 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 6.940 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 6.941 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 6.943 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 6.944 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 6.945 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 6.947 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 6.951 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 6.951 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 6.951 * [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 6.951 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 6.951 * [taylor]: Taking taylor expansion of 1.0 in n 6.951 * [backup-simplify]: Simplify 1.0 into 1.0 6.951 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 6.951 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.952 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.952 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.952 * [taylor]: Taking taylor expansion of 0.5 in n 6.952 * [backup-simplify]: Simplify 0.5 into 0.5 6.952 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.952 * [taylor]: Taking taylor expansion of k in n 6.952 * [backup-simplify]: Simplify k into k 6.952 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.952 * [taylor]: Taking taylor expansion of 1.0 in n 6.952 * [backup-simplify]: Simplify 1.0 into 1.0 6.952 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.952 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.952 * [taylor]: Taking taylor expansion of -2.0 in n 6.952 * [backup-simplify]: Simplify -2.0 into -2.0 6.952 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.952 * [taylor]: Taking taylor expansion of PI in n 6.952 * [backup-simplify]: Simplify PI into PI 6.952 * [taylor]: Taking taylor expansion of n in n 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify 1 into 1 6.952 * [backup-simplify]: Simplify (/ PI 1) into PI 6.952 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.953 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.953 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.953 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.954 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.955 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 6.956 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.956 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.956 * [taylor]: Taking taylor expansion of -1 in n 6.956 * [backup-simplify]: Simplify -1 into -1 6.956 * [taylor]: Taking taylor expansion of k in n 6.956 * [backup-simplify]: Simplify k into k 6.956 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 6.956 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 6.956 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 6.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 6.957 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 6.957 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.957 * [taylor]: Taking taylor expansion of 1.0 in k 6.957 * [backup-simplify]: Simplify 1.0 into 1.0 6.957 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.957 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.957 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.957 * [taylor]: Taking taylor expansion of 0.5 in k 6.957 * [backup-simplify]: Simplify 0.5 into 0.5 6.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.957 * [taylor]: Taking taylor expansion of k in k 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [backup-simplify]: Simplify (/ 1 1) into 1 6.957 * [taylor]: Taking taylor expansion of 1.0 in k 6.957 * [backup-simplify]: Simplify 1.0 into 1.0 6.957 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.957 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.957 * [taylor]: Taking taylor expansion of -2.0 in k 6.957 * [backup-simplify]: Simplify -2.0 into -2.0 6.957 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.958 * [taylor]: Taking taylor expansion of PI in k 6.958 * [backup-simplify]: Simplify PI into PI 6.958 * [taylor]: Taking taylor expansion of n in k 6.958 * [backup-simplify]: Simplify n into n 6.958 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.958 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.958 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.958 * [backup-simplify]: Simplify (+ 1 0) into 1 6.958 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.958 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.958 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 6.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.959 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.959 * [taylor]: Taking taylor expansion of -1 in k 6.959 * [backup-simplify]: Simplify -1 into -1 6.959 * [taylor]: Taking taylor expansion of k in k 6.959 * [backup-simplify]: Simplify 0 into 0 6.959 * [backup-simplify]: Simplify 1 into 1 6.959 * [backup-simplify]: Simplify (/ -1 1) into -1 6.959 * [backup-simplify]: Simplify (sqrt 0) into 0 6.960 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.960 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 6.960 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.960 * [taylor]: Taking taylor expansion of 1.0 in k 6.960 * [backup-simplify]: Simplify 1.0 into 1.0 6.960 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.960 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.960 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.960 * [taylor]: Taking taylor expansion of 0.5 in k 6.960 * [backup-simplify]: Simplify 0.5 into 0.5 6.960 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.960 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.960 * [taylor]: Taking taylor expansion of k in k 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify 1 into 1 6.961 * [backup-simplify]: Simplify (/ 1 1) into 1 6.961 * [taylor]: Taking taylor expansion of 1.0 in k 6.961 * [backup-simplify]: Simplify 1.0 into 1.0 6.961 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.961 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.961 * [taylor]: Taking taylor expansion of -2.0 in k 6.961 * [backup-simplify]: Simplify -2.0 into -2.0 6.961 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.961 * [taylor]: Taking taylor expansion of PI in k 6.961 * [backup-simplify]: Simplify PI into PI 6.961 * [taylor]: Taking taylor expansion of n in k 6.961 * [backup-simplify]: Simplify n into n 6.961 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 6.961 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 6.961 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 6.961 * [backup-simplify]: Simplify (+ 1 0) into 1 6.962 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.962 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 6.962 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 6.962 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.962 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.962 * [taylor]: Taking taylor expansion of -1 in k 6.962 * [backup-simplify]: Simplify -1 into -1 6.962 * [taylor]: Taking taylor expansion of k in k 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 1 into 1 6.962 * [backup-simplify]: Simplify (/ -1 1) into -1 6.962 * [backup-simplify]: Simplify (sqrt 0) into 0 6.963 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.963 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 6.964 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 6.964 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 6.964 * [taylor]: Taking taylor expansion of +nan.0 in n 6.964 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 6.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 6.964 * [taylor]: Taking taylor expansion of 0.5 in n 6.964 * [backup-simplify]: Simplify 0.5 into 0.5 6.964 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 6.964 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.964 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.964 * [taylor]: Taking taylor expansion of -2.0 in n 6.964 * [backup-simplify]: Simplify -2.0 into -2.0 6.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.964 * [taylor]: Taking taylor expansion of PI in n 6.964 * [backup-simplify]: Simplify PI into PI 6.964 * [taylor]: Taking taylor expansion of n in n 6.964 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ PI 1) into PI 6.965 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.965 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.965 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.965 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.965 * [taylor]: Taking taylor expansion of k in n 6.965 * [backup-simplify]: Simplify k into k 6.965 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.965 * [taylor]: Taking taylor expansion of 1.0 in n 6.965 * [backup-simplify]: Simplify 1.0 into 1.0 6.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.966 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.967 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 6.968 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 6.968 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.969 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 6.970 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 6.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.973 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 6.973 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 6.973 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 6.973 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 6.973 * [taylor]: Taking taylor expansion of +nan.0 in n 6.974 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 6.974 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 6.974 * [taylor]: Taking taylor expansion of 0.5 in n 6.974 * [backup-simplify]: Simplify 0.5 into 0.5 6.974 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 6.974 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.974 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.974 * [taylor]: Taking taylor expansion of -2.0 in n 6.974 * [backup-simplify]: Simplify -2.0 into -2.0 6.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.974 * [taylor]: Taking taylor expansion of PI in n 6.974 * [backup-simplify]: Simplify PI into PI 6.974 * [taylor]: Taking taylor expansion of n in n 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify (/ PI 1) into PI 6.974 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 6.975 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 6.975 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.975 * [taylor]: Taking taylor expansion of k in n 6.975 * [backup-simplify]: Simplify k into k 6.975 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.975 * [taylor]: Taking taylor expansion of 1.0 in n 6.975 * [backup-simplify]: Simplify 1.0 into 1.0 6.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.976 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.977 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 6.978 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 6.979 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 6.981 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 6.982 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 6.983 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 6.985 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 6.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.985 * [backup-simplify]: Simplify (+ 0 0) into 0 6.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 6.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 6.990 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.992 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 6.994 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 6.996 * [backup-simplify]: Simplify 0 into 0 6.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.007 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 7.008 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 7.008 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 7.008 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 7.008 * [taylor]: Taking taylor expansion of +nan.0 in n 7.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.008 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 7.008 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 7.008 * [taylor]: Taking taylor expansion of 0.5 in n 7.008 * [backup-simplify]: Simplify 0.5 into 0.5 7.008 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 7.008 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.008 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.008 * [taylor]: Taking taylor expansion of -2.0 in n 7.008 * [backup-simplify]: Simplify -2.0 into -2.0 7.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.008 * [taylor]: Taking taylor expansion of PI in n 7.008 * [backup-simplify]: Simplify PI into PI 7.008 * [taylor]: Taking taylor expansion of n in n 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.009 * [backup-simplify]: Simplify (/ PI 1) into PI 7.009 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.011 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.011 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.011 * [taylor]: Taking taylor expansion of k in n 7.011 * [backup-simplify]: Simplify k into k 7.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.011 * [taylor]: Taking taylor expansion of 1.0 in n 7.011 * [backup-simplify]: Simplify 1.0 into 1.0 7.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.012 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.014 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 7.015 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.016 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.017 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 7.019 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 7.020 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 7.025 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 7.025 * * * [progress]: simplifying candidates 7.029 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 7.036 * * [simplify]: Extracting # 0 : cost 144 inf + 0 7.037 * * [simplify]: Extracting # 1 : cost 206 inf + 0 7.037 * * [simplify]: Extracting # 2 : cost 221 inf + 1459 7.039 * * [simplify]: Extracting # 3 : cost 206 inf + 6529 7.041 * * [simplify]: Extracting # 4 : cost 162 inf + 19123 7.048 * * [simplify]: Extracting # 5 : cost 107 inf + 44738 7.057 * * [simplify]: Extracting # 6 : cost 91 inf + 57145 7.066 * * [simplify]: Extracting # 7 : cost 75 inf + 63226 7.077 * * [simplify]: Extracting # 8 : cost 60 inf + 71550 7.087 * * [simplify]: Extracting # 9 : cost 55 inf + 74459 7.099 * * [simplify]: Extracting # 10 : cost 42 inf + 84407 7.107 * * [simplify]: Extracting # 11 : cost 32 inf + 94827 7.114 * * [simplify]: Extracting # 12 : cost 30 inf + 99741 7.121 * * [simplify]: Extracting # 13 : cost 28 inf + 103419 7.132 * * [simplify]: Extracting # 14 : cost 28 inf + 107557 7.139 * * [simplify]: Extracting # 15 : cost 25 inf + 111043 7.148 * * [simplify]: Extracting # 16 : cost 23 inf + 118022 7.156 * * [simplify]: Extracting # 17 : cost 21 inf + 121389 7.165 * * [simplify]: Extracting # 18 : cost 20 inf + 124739 7.174 * * [simplify]: Extracting # 19 : cost 22 inf + 124739 7.184 * * [simplify]: Extracting # 20 : cost 24 inf + 124739 7.201 * * [simplify]: Extracting # 21 : cost 21 inf + 127927 7.218 * * [simplify]: Extracting # 22 : cost 18 inf + 132411 7.228 * * [simplify]: Extracting # 23 : cost 17 inf + 134549 7.238 * * [simplify]: Extracting # 24 : cost 16 inf + 136727 7.247 * * [simplify]: Extracting # 25 : cost 15 inf + 139065 7.257 * * [simplify]: Extracting # 26 : cost 13 inf + 143981 7.269 * * [simplify]: Extracting # 27 : cost 12 inf + 146559 7.289 * * [simplify]: Extracting # 28 : cost 10 inf + 152155 7.308 * * [simplify]: Extracting # 29 : cost 8 inf + 158571 7.323 * * [simplify]: Extracting # 30 : cost 3 inf + 175831 7.343 * * [simplify]: Extracting # 31 : cost 0 inf + 187115 7.374 * * [simplify]: iteration 0 : 353 enodes (cost 73141 ) 7.511 * * [simplify]: Extracting # 0 : cost 0 inf + 187115 7.555 * * [simplify]: Extracting # 1 : cost 207 inf + 181679 7.616 * * [simplify]: Extracting # 2 : cost 71 inf + 256757 7.681 * * [simplify]: Extracting # 3 : cost 23 inf + 256904 7.735 * * [simplify]: Extracting # 4 : cost 0 inf + 256891 7.782 * * [simplify]: Extracting # 5 : cost 0 inf + 250568 7.817 * * [simplify]: Extracting # 6 : cost 0 inf + 248228 7.878 * * [simplify]: Extracting # 7 : cost 0 inf + 247897 7.943 * * [simplify]: iteration 1 : 975 enodes (cost 65913 ) 8.402 * * [simplify]: Extracting # 0 : cost 0 inf + 247897 8.468 * * [simplify]: Extracting # 1 : cost 881 inf + 243486 8.602 * * [simplify]: Extracting # 2 : cost 68 inf + 634443 8.732 * * [simplify]: Extracting # 3 : cost 13 inf + 647689 8.941 * * [simplify]: Extracting # 4 : cost 0 inf + 653397 9.154 * * [simplify]: iteration 2 : 3265 enodes (cost 65170 ) 10.316 * * [simplify]: Extracting # 0 : cost 0 inf + 653397 10.543 * * [simplify]: Extracting # 1 : cost 701 inf + 648851 10.808 * * [simplify]: Extracting # 2 : cost 169 inf + 877547 11.050 * * [simplify]: Extracting # 3 : cost 49 inf + 909761 11.272 * * [simplify]: Extracting # 4 : cost 0 inf + 930442 11.502 * * [simplify]: Extracting # 5 : cost 0 inf + 930042 11.729 * * [simplify]: Extracting # 6 : cost 0 inf + 929962 12.005 * * [simplify]: iteration complete: 5003 enodes (cost 64970 ) 12.007 * [simplify]: Simplified to: (* (/ (- 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) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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))) (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))) (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)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (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 (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 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)) (* (* (* 2.0 PI) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n))) n) (* (* (* 2.0 PI) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n))) n) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n))) 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) (* PI n) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 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))))) (* (* (/ 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))))) (* (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)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (* (* (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (log n) (* k k))) 0.25) (+ (+ (* (* 0.125 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* k k) (* (log n) (log n)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* (* 0.125 (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* (* k k) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* (* k (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) 0.5)))) (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* (* k k) +nan.0) (- +nan.0 (* +nan.0 k)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (+ (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k))) (+ (- (* (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* k k)) (* (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (log n) (* k k)))) (+ (* (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (* (log (* 2.0 PI)) k) (* (log (* 2.0 PI)) k))) (+ (- (* +nan.0 (* (* (log (* 2.0 PI)) (* (log n) (* k k))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (* (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (* k k) (log (* 2.0 PI)))) (* (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (* k k) (* (log n) (log n)))))))) (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (- (+ (- (/ (* +nan.0 (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n)))))) (* k k)) (* +nan.0 (/ (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))) k))) (/ +nan.0 (/ (* (* k k) k) (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* PI n))))))))) (- (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (* k k))))) 12.029 * * * [progress]: adding candidates to table 13.058 * * [progress]: iteration 2 / 4 13.058 * * * [progress]: picking best candidate 13.113 * * * * [pick]: Picked # 13.113 * * * [progress]: localizing error 13.171 * * * [progress]: generating rewritten candidates 13.171 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 13.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 13.242 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 13.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 13.299 * * * [progress]: generating series expansions 13.299 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 13.300 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 13.300 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 13.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 13.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 13.300 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 13.300 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 13.300 * [taylor]: Taking taylor expansion of 0.25 in k 13.300 * [backup-simplify]: Simplify 0.25 into 0.25 13.300 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.300 * [taylor]: Taking taylor expansion of 1.0 in k 13.300 * [backup-simplify]: Simplify 1.0 into 1.0 13.300 * [taylor]: Taking taylor expansion of k in k 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify 1 into 1 13.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 13.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 13.300 * [taylor]: Taking taylor expansion of 2.0 in k 13.300 * [backup-simplify]: Simplify 2.0 into 2.0 13.300 * [taylor]: Taking taylor expansion of (* n PI) in k 13.300 * [taylor]: Taking taylor expansion of n in k 13.300 * [backup-simplify]: Simplify n into n 13.300 * [taylor]: Taking taylor expansion of PI in k 13.300 * [backup-simplify]: Simplify PI into PI 13.300 * [backup-simplify]: Simplify (* n PI) into (* n PI) 13.300 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 13.300 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 13.300 * [backup-simplify]: Simplify (- 0) into 0 13.301 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.301 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 13.301 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 13.301 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 13.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 13.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.301 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.301 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.301 * [taylor]: Taking taylor expansion of 0.25 in n 13.301 * [backup-simplify]: Simplify 0.25 into 0.25 13.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.301 * [taylor]: Taking taylor expansion of 1.0 in n 13.301 * [backup-simplify]: Simplify 1.0 into 1.0 13.301 * [taylor]: Taking taylor expansion of k in n 13.301 * [backup-simplify]: Simplify k into k 13.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.301 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.301 * [taylor]: Taking taylor expansion of 2.0 in n 13.301 * [backup-simplify]: Simplify 2.0 into 2.0 13.301 * [taylor]: Taking taylor expansion of (* n PI) in n 13.301 * [taylor]: Taking taylor expansion of n in n 13.301 * [backup-simplify]: Simplify 0 into 0 13.301 * [backup-simplify]: Simplify 1 into 1 13.301 * [taylor]: Taking taylor expansion of PI in n 13.301 * [backup-simplify]: Simplify PI into PI 13.302 * [backup-simplify]: Simplify (* 0 PI) into 0 13.302 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.303 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.304 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.305 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.305 * [backup-simplify]: Simplify (- k) into (- k) 13.305 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.305 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.306 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.306 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 13.307 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 13.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 13.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.307 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.307 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.307 * [taylor]: Taking taylor expansion of 0.25 in n 13.307 * [backup-simplify]: Simplify 0.25 into 0.25 13.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.307 * [taylor]: Taking taylor expansion of 1.0 in n 13.307 * [backup-simplify]: Simplify 1.0 into 1.0 13.307 * [taylor]: Taking taylor expansion of k in n 13.307 * [backup-simplify]: Simplify k into k 13.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.307 * [taylor]: Taking taylor expansion of 2.0 in n 13.307 * [backup-simplify]: Simplify 2.0 into 2.0 13.307 * [taylor]: Taking taylor expansion of (* n PI) in n 13.307 * [taylor]: Taking taylor expansion of n in n 13.308 * [backup-simplify]: Simplify 0 into 0 13.308 * [backup-simplify]: Simplify 1 into 1 13.308 * [taylor]: Taking taylor expansion of PI in n 13.308 * [backup-simplify]: Simplify PI into PI 13.308 * [backup-simplify]: Simplify (* 0 PI) into 0 13.308 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.309 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.310 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.311 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.311 * [backup-simplify]: Simplify (- k) into (- k) 13.311 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.311 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.312 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.313 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 13.313 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 13.313 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 13.313 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 13.313 * [taylor]: Taking taylor expansion of 0.25 in k 13.313 * [backup-simplify]: Simplify 0.25 into 0.25 13.313 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 13.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.313 * [taylor]: Taking taylor expansion of 1.0 in k 13.314 * [backup-simplify]: Simplify 1.0 into 1.0 13.314 * [taylor]: Taking taylor expansion of k in k 13.314 * [backup-simplify]: Simplify 0 into 0 13.314 * [backup-simplify]: Simplify 1 into 1 13.314 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 13.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.314 * [taylor]: Taking taylor expansion of 2.0 in k 13.314 * [backup-simplify]: Simplify 2.0 into 2.0 13.314 * [taylor]: Taking taylor expansion of PI in k 13.314 * [backup-simplify]: Simplify PI into PI 13.314 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.315 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.315 * [taylor]: Taking taylor expansion of (log n) in k 13.315 * [taylor]: Taking taylor expansion of n in k 13.315 * [backup-simplify]: Simplify n into n 13.315 * [backup-simplify]: Simplify (log n) into (log n) 13.315 * [backup-simplify]: Simplify (- 0) into 0 13.315 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.316 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 13.317 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 13.318 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 13.318 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 13.319 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 13.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.320 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 13.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.322 * [backup-simplify]: Simplify (- 0) into 0 13.322 * [backup-simplify]: Simplify (+ 0 0) into 0 13.323 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 13.324 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.324 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 13.326 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.326 * [taylor]: Taking taylor expansion of 0 in k 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 13.328 * [backup-simplify]: Simplify (+ 0 0) into 0 13.328 * [backup-simplify]: Simplify (- 1) into -1 13.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.330 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 13.331 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 13.333 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 13.335 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 13.336 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.336 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.339 * [backup-simplify]: Simplify (- 0) into 0 13.339 * [backup-simplify]: Simplify (+ 0 0) into 0 13.339 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 13.340 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.341 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.343 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.343 * [taylor]: Taking taylor expansion of 0 in k 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.345 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.347 * [backup-simplify]: Simplify (+ 0 0) into 0 13.347 * [backup-simplify]: Simplify (- 0) into 0 13.347 * [backup-simplify]: Simplify (+ 0 0) into 0 13.348 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.350 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 13.356 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 13.360 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 13.366 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 13.366 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 13.366 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 13.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 13.366 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 13.366 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.366 * [taylor]: Taking taylor expansion of 0.25 in k 13.366 * [backup-simplify]: Simplify 0.25 into 0.25 13.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.366 * [taylor]: Taking taylor expansion of 1.0 in k 13.366 * [backup-simplify]: Simplify 1.0 into 1.0 13.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.366 * [taylor]: Taking taylor expansion of k in k 13.366 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify 1 into 1 13.367 * [backup-simplify]: Simplify (/ 1 1) into 1 13.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 13.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 13.367 * [taylor]: Taking taylor expansion of 2.0 in k 13.367 * [backup-simplify]: Simplify 2.0 into 2.0 13.367 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.367 * [taylor]: Taking taylor expansion of PI in k 13.367 * [backup-simplify]: Simplify PI into PI 13.367 * [taylor]: Taking taylor expansion of n in k 13.367 * [backup-simplify]: Simplify n into n 13.367 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.367 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 13.367 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 13.367 * [backup-simplify]: Simplify (- 1) into -1 13.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.368 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.368 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 13.368 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 13.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.368 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.368 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.368 * [taylor]: Taking taylor expansion of 0.25 in n 13.368 * [backup-simplify]: Simplify 0.25 into 0.25 13.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.368 * [taylor]: Taking taylor expansion of 1.0 in n 13.368 * [backup-simplify]: Simplify 1.0 into 1.0 13.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.368 * [taylor]: Taking taylor expansion of k in n 13.368 * [backup-simplify]: Simplify k into k 13.368 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.369 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.369 * [taylor]: Taking taylor expansion of 2.0 in n 13.369 * [backup-simplify]: Simplify 2.0 into 2.0 13.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.369 * [taylor]: Taking taylor expansion of PI in n 13.369 * [backup-simplify]: Simplify PI into PI 13.369 * [taylor]: Taking taylor expansion of n in n 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.369 * [backup-simplify]: Simplify (/ PI 1) into PI 13.369 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.370 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.370 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.370 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.370 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.372 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 13.373 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.373 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.373 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.373 * [taylor]: Taking taylor expansion of 0.25 in n 13.373 * [backup-simplify]: Simplify 0.25 into 0.25 13.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.373 * [taylor]: Taking taylor expansion of 1.0 in n 13.373 * [backup-simplify]: Simplify 1.0 into 1.0 13.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.373 * [taylor]: Taking taylor expansion of k in n 13.373 * [backup-simplify]: Simplify k into k 13.373 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.373 * [taylor]: Taking taylor expansion of 2.0 in n 13.373 * [backup-simplify]: Simplify 2.0 into 2.0 13.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.373 * [taylor]: Taking taylor expansion of PI in n 13.373 * [backup-simplify]: Simplify PI into PI 13.373 * [taylor]: Taking taylor expansion of n in n 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 1 into 1 13.373 * [backup-simplify]: Simplify (/ PI 1) into PI 13.374 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.374 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.374 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.374 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.374 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.376 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 13.377 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.377 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 13.377 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 13.377 * [taylor]: Taking taylor expansion of 0.25 in k 13.377 * [backup-simplify]: Simplify 0.25 into 0.25 13.377 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 13.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.377 * [taylor]: Taking taylor expansion of 1.0 in k 13.377 * [backup-simplify]: Simplify 1.0 into 1.0 13.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.377 * [taylor]: Taking taylor expansion of k in k 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify 1 into 1 13.377 * [backup-simplify]: Simplify (/ 1 1) into 1 13.377 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 13.377 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.377 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.377 * [taylor]: Taking taylor expansion of 2.0 in k 13.377 * [backup-simplify]: Simplify 2.0 into 2.0 13.377 * [taylor]: Taking taylor expansion of PI in k 13.377 * [backup-simplify]: Simplify PI into PI 13.378 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.378 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.378 * [taylor]: Taking taylor expansion of (log n) in k 13.378 * [taylor]: Taking taylor expansion of n in k 13.378 * [backup-simplify]: Simplify n into n 13.378 * [backup-simplify]: Simplify (log n) into (log n) 13.379 * [backup-simplify]: Simplify (- 1) into -1 13.379 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.379 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.380 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 13.380 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 13.381 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 13.382 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.383 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.384 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.385 * [backup-simplify]: Simplify (- 0) into 0 13.385 * [backup-simplify]: Simplify (+ 0 0) into 0 13.386 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.387 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 13.388 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.388 * [taylor]: Taking taylor expansion of 0 in k 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.392 * [backup-simplify]: Simplify (- 0) into 0 13.393 * [backup-simplify]: Simplify (+ 0 0) into 0 13.393 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.395 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 13.396 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.396 * [taylor]: Taking taylor expansion of 0 in k 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.398 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.401 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 13.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.402 * [backup-simplify]: Simplify (- 0) into 0 13.402 * [backup-simplify]: Simplify (+ 0 0) into 0 13.403 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 13.404 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.405 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 13.406 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.407 * [taylor]: Taking taylor expansion of 0 in k 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 13.408 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 13.408 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 13.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 13.408 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 13.408 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.408 * [taylor]: Taking taylor expansion of 0.25 in k 13.408 * [backup-simplify]: Simplify 0.25 into 0.25 13.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.408 * [taylor]: Taking taylor expansion of k in k 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 1 into 1 13.408 * [backup-simplify]: Simplify (/ 1 1) into 1 13.408 * [taylor]: Taking taylor expansion of 1.0 in k 13.408 * [backup-simplify]: Simplify 1.0 into 1.0 13.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 13.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 13.408 * [taylor]: Taking taylor expansion of -2.0 in k 13.408 * [backup-simplify]: Simplify -2.0 into -2.0 13.408 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.408 * [taylor]: Taking taylor expansion of PI in k 13.408 * [backup-simplify]: Simplify PI into PI 13.408 * [taylor]: Taking taylor expansion of n in k 13.409 * [backup-simplify]: Simplify n into n 13.409 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.409 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 13.409 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 13.409 * [backup-simplify]: Simplify (+ 1 0) into 1 13.409 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.409 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 13.409 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 13.409 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.410 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.410 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.410 * [taylor]: Taking taylor expansion of 0.25 in n 13.410 * [backup-simplify]: Simplify 0.25 into 0.25 13.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.410 * [taylor]: Taking taylor expansion of k in n 13.410 * [backup-simplify]: Simplify k into k 13.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.410 * [taylor]: Taking taylor expansion of 1.0 in n 13.410 * [backup-simplify]: Simplify 1.0 into 1.0 13.410 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.410 * [taylor]: Taking taylor expansion of -2.0 in n 13.410 * [backup-simplify]: Simplify -2.0 into -2.0 13.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.410 * [taylor]: Taking taylor expansion of PI in n 13.410 * [backup-simplify]: Simplify PI into PI 13.410 * [taylor]: Taking taylor expansion of n in n 13.410 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify 1 into 1 13.410 * [backup-simplify]: Simplify (/ PI 1) into PI 13.410 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.411 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.411 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.411 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.413 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 13.414 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.414 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.414 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.414 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.414 * [taylor]: Taking taylor expansion of 0.25 in n 13.414 * [backup-simplify]: Simplify 0.25 into 0.25 13.414 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.414 * [taylor]: Taking taylor expansion of k in n 13.414 * [backup-simplify]: Simplify k into k 13.414 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.414 * [taylor]: Taking taylor expansion of 1.0 in n 13.414 * [backup-simplify]: Simplify 1.0 into 1.0 13.414 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.414 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.414 * [taylor]: Taking taylor expansion of -2.0 in n 13.414 * [backup-simplify]: Simplify -2.0 into -2.0 13.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.414 * [taylor]: Taking taylor expansion of PI in n 13.414 * [backup-simplify]: Simplify PI into PI 13.414 * [taylor]: Taking taylor expansion of n in n 13.414 * [backup-simplify]: Simplify 0 into 0 13.414 * [backup-simplify]: Simplify 1 into 1 13.414 * [backup-simplify]: Simplify (/ PI 1) into PI 13.415 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.415 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.415 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.415 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.416 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.417 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 13.418 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.418 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 13.418 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 13.418 * [taylor]: Taking taylor expansion of 0.25 in k 13.418 * [backup-simplify]: Simplify 0.25 into 0.25 13.418 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 13.418 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 13.418 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 13.418 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 13.418 * [taylor]: Taking taylor expansion of -2.0 in k 13.418 * [backup-simplify]: Simplify -2.0 into -2.0 13.418 * [taylor]: Taking taylor expansion of PI in k 13.418 * [backup-simplify]: Simplify PI into PI 13.419 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.419 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.419 * [taylor]: Taking taylor expansion of (log n) in k 13.419 * [taylor]: Taking taylor expansion of n in k 13.419 * [backup-simplify]: Simplify n into n 13.419 * [backup-simplify]: Simplify (log n) into (log n) 13.419 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.419 * [taylor]: Taking taylor expansion of k in k 13.419 * [backup-simplify]: Simplify 0 into 0 13.419 * [backup-simplify]: Simplify 1 into 1 13.420 * [backup-simplify]: Simplify (/ 1 1) into 1 13.420 * [taylor]: Taking taylor expansion of 1.0 in k 13.420 * [backup-simplify]: Simplify 1.0 into 1.0 13.420 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.420 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 13.421 * [backup-simplify]: Simplify (+ 1 0) into 1 13.421 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 13.422 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 13.423 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.424 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.425 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 13.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.426 * [backup-simplify]: Simplify (+ 0 0) into 0 13.426 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.427 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.428 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 13.429 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.429 * [taylor]: Taking taylor expansion of 0 in k 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.430 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.432 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 13.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.433 * [backup-simplify]: Simplify (+ 0 0) into 0 13.433 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.435 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.436 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 13.437 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.437 * [taylor]: Taking taylor expansion of 0 in k 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.439 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.444 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 13.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.445 * [backup-simplify]: Simplify (+ 0 0) into 0 13.445 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.447 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 13.449 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.449 * [taylor]: Taking taylor expansion of 0 in k 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.450 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 13.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 13.451 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 13.451 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 13.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 13.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 13.451 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 13.451 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 13.451 * [taylor]: Taking taylor expansion of 0.25 in k 13.451 * [backup-simplify]: Simplify 0.25 into 0.25 13.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.451 * [taylor]: Taking taylor expansion of 1.0 in k 13.451 * [backup-simplify]: Simplify 1.0 into 1.0 13.451 * [taylor]: Taking taylor expansion of k in k 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify 1 into 1 13.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 13.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 13.451 * [taylor]: Taking taylor expansion of 2.0 in k 13.451 * [backup-simplify]: Simplify 2.0 into 2.0 13.451 * [taylor]: Taking taylor expansion of (* n PI) in k 13.451 * [taylor]: Taking taylor expansion of n in k 13.451 * [backup-simplify]: Simplify n into n 13.451 * [taylor]: Taking taylor expansion of PI in k 13.451 * [backup-simplify]: Simplify PI into PI 13.451 * [backup-simplify]: Simplify (* n PI) into (* n PI) 13.451 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 13.451 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 13.451 * [backup-simplify]: Simplify (- 0) into 0 13.452 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.452 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 13.452 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 13.452 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 13.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 13.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.452 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.452 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.452 * [taylor]: Taking taylor expansion of 0.25 in n 13.452 * [backup-simplify]: Simplify 0.25 into 0.25 13.452 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.452 * [taylor]: Taking taylor expansion of 1.0 in n 13.452 * [backup-simplify]: Simplify 1.0 into 1.0 13.452 * [taylor]: Taking taylor expansion of k in n 13.452 * [backup-simplify]: Simplify k into k 13.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.452 * [taylor]: Taking taylor expansion of 2.0 in n 13.452 * [backup-simplify]: Simplify 2.0 into 2.0 13.452 * [taylor]: Taking taylor expansion of (* n PI) in n 13.452 * [taylor]: Taking taylor expansion of n in n 13.452 * [backup-simplify]: Simplify 0 into 0 13.452 * [backup-simplify]: Simplify 1 into 1 13.452 * [taylor]: Taking taylor expansion of PI in n 13.452 * [backup-simplify]: Simplify PI into PI 13.453 * [backup-simplify]: Simplify (* 0 PI) into 0 13.453 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.455 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.455 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.456 * [backup-simplify]: Simplify (- k) into (- k) 13.456 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.456 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.456 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.457 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 13.458 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 13.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 13.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 13.458 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 13.458 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.458 * [taylor]: Taking taylor expansion of 0.25 in n 13.458 * [backup-simplify]: Simplify 0.25 into 0.25 13.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.458 * [taylor]: Taking taylor expansion of 1.0 in n 13.458 * [backup-simplify]: Simplify 1.0 into 1.0 13.458 * [taylor]: Taking taylor expansion of k in n 13.458 * [backup-simplify]: Simplify k into k 13.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 13.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.458 * [taylor]: Taking taylor expansion of 2.0 in n 13.458 * [backup-simplify]: Simplify 2.0 into 2.0 13.458 * [taylor]: Taking taylor expansion of (* n PI) in n 13.458 * [taylor]: Taking taylor expansion of n in n 13.458 * [backup-simplify]: Simplify 0 into 0 13.458 * [backup-simplify]: Simplify 1 into 1 13.458 * [taylor]: Taking taylor expansion of PI in n 13.458 * [backup-simplify]: Simplify PI into PI 13.459 * [backup-simplify]: Simplify (* 0 PI) into 0 13.459 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.460 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.461 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.461 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.461 * [backup-simplify]: Simplify (- k) into (- k) 13.462 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.462 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.462 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.463 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 13.464 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 13.464 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 13.464 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 13.464 * [taylor]: Taking taylor expansion of 0.25 in k 13.464 * [backup-simplify]: Simplify 0.25 into 0.25 13.464 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 13.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.464 * [taylor]: Taking taylor expansion of 1.0 in k 13.464 * [backup-simplify]: Simplify 1.0 into 1.0 13.464 * [taylor]: Taking taylor expansion of k in k 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify 1 into 1 13.464 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 13.464 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.464 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.464 * [taylor]: Taking taylor expansion of 2.0 in k 13.464 * [backup-simplify]: Simplify 2.0 into 2.0 13.464 * [taylor]: Taking taylor expansion of PI in k 13.464 * [backup-simplify]: Simplify PI into PI 13.465 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.465 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.465 * [taylor]: Taking taylor expansion of (log n) in k 13.465 * [taylor]: Taking taylor expansion of n in k 13.465 * [backup-simplify]: Simplify n into n 13.465 * [backup-simplify]: Simplify (log n) into (log n) 13.466 * [backup-simplify]: Simplify (- 0) into 0 13.466 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.467 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 13.469 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 13.470 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 13.471 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 13.472 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 13.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.474 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 13.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.477 * [backup-simplify]: Simplify (- 0) into 0 13.477 * [backup-simplify]: Simplify (+ 0 0) into 0 13.477 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 13.479 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.480 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 13.482 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.482 * [taylor]: Taking taylor expansion of 0 in k 13.482 * [backup-simplify]: Simplify 0 into 0 13.482 * [backup-simplify]: Simplify 0 into 0 13.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 13.486 * [backup-simplify]: Simplify (+ 0 0) into 0 13.487 * [backup-simplify]: Simplify (- 1) into -1 13.487 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.489 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 13.491 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 13.494 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 13.497 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 13.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.500 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.504 * [backup-simplify]: Simplify (- 0) into 0 13.504 * [backup-simplify]: Simplify (+ 0 0) into 0 13.505 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 13.506 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 13.508 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.510 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.510 * [taylor]: Taking taylor expansion of 0 in k 13.510 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify 0 into 0 13.511 * [backup-simplify]: Simplify 0 into 0 13.512 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.515 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.518 * [backup-simplify]: Simplify (+ 0 0) into 0 13.519 * [backup-simplify]: Simplify (- 0) into 0 13.519 * [backup-simplify]: Simplify (+ 0 0) into 0 13.521 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 13.524 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 13.527 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 13.530 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 13.537 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 13.537 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 13.537 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 13.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 13.537 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 13.537 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.537 * [taylor]: Taking taylor expansion of 0.25 in k 13.537 * [backup-simplify]: Simplify 0.25 into 0.25 13.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.537 * [taylor]: Taking taylor expansion of 1.0 in k 13.537 * [backup-simplify]: Simplify 1.0 into 1.0 13.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.537 * [taylor]: Taking taylor expansion of k in k 13.537 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify 1 into 1 13.538 * [backup-simplify]: Simplify (/ 1 1) into 1 13.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 13.538 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 13.538 * [taylor]: Taking taylor expansion of 2.0 in k 13.538 * [backup-simplify]: Simplify 2.0 into 2.0 13.538 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.538 * [taylor]: Taking taylor expansion of PI in k 13.538 * [backup-simplify]: Simplify PI into PI 13.538 * [taylor]: Taking taylor expansion of n in k 13.538 * [backup-simplify]: Simplify n into n 13.538 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.538 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 13.538 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 13.538 * [backup-simplify]: Simplify (- 1) into -1 13.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.539 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.539 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 13.539 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 13.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.539 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.539 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.539 * [taylor]: Taking taylor expansion of 0.25 in n 13.539 * [backup-simplify]: Simplify 0.25 into 0.25 13.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.539 * [taylor]: Taking taylor expansion of 1.0 in n 13.539 * [backup-simplify]: Simplify 1.0 into 1.0 13.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.539 * [taylor]: Taking taylor expansion of k in n 13.539 * [backup-simplify]: Simplify k into k 13.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.539 * [taylor]: Taking taylor expansion of 2.0 in n 13.539 * [backup-simplify]: Simplify 2.0 into 2.0 13.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.539 * [taylor]: Taking taylor expansion of PI in n 13.539 * [backup-simplify]: Simplify PI into PI 13.539 * [taylor]: Taking taylor expansion of n in n 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [backup-simplify]: Simplify 1 into 1 13.540 * [backup-simplify]: Simplify (/ PI 1) into PI 13.540 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.541 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.541 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.541 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.541 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.542 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.543 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 13.543 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.543 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 13.543 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 13.543 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.543 * [taylor]: Taking taylor expansion of 0.25 in n 13.543 * [backup-simplify]: Simplify 0.25 into 0.25 13.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.543 * [taylor]: Taking taylor expansion of 1.0 in n 13.543 * [backup-simplify]: Simplify 1.0 into 1.0 13.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.543 * [taylor]: Taking taylor expansion of k in n 13.543 * [backup-simplify]: Simplify k into k 13.544 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 13.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.544 * [taylor]: Taking taylor expansion of 2.0 in n 13.544 * [backup-simplify]: Simplify 2.0 into 2.0 13.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.544 * [taylor]: Taking taylor expansion of PI in n 13.544 * [backup-simplify]: Simplify PI into PI 13.544 * [taylor]: Taking taylor expansion of n in n 13.544 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify 1 into 1 13.544 * [backup-simplify]: Simplify (/ PI 1) into PI 13.544 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.545 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.545 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.545 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.545 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.547 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 13.548 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.548 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 13.548 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 13.548 * [taylor]: Taking taylor expansion of 0.25 in k 13.548 * [backup-simplify]: Simplify 0.25 into 0.25 13.548 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 13.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.548 * [taylor]: Taking taylor expansion of 1.0 in k 13.548 * [backup-simplify]: Simplify 1.0 into 1.0 13.548 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.548 * [taylor]: Taking taylor expansion of k in k 13.548 * [backup-simplify]: Simplify 0 into 0 13.548 * [backup-simplify]: Simplify 1 into 1 13.548 * [backup-simplify]: Simplify (/ 1 1) into 1 13.548 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 13.548 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.548 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.548 * [taylor]: Taking taylor expansion of 2.0 in k 13.548 * [backup-simplify]: Simplify 2.0 into 2.0 13.548 * [taylor]: Taking taylor expansion of PI in k 13.548 * [backup-simplify]: Simplify PI into PI 13.549 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.549 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.549 * [taylor]: Taking taylor expansion of (log n) in k 13.549 * [taylor]: Taking taylor expansion of n in k 13.549 * [backup-simplify]: Simplify n into n 13.549 * [backup-simplify]: Simplify (log n) into (log n) 13.550 * [backup-simplify]: Simplify (- 1) into -1 13.550 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.550 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.551 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 13.551 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 13.552 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 13.553 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.554 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 13.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.556 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 13.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.558 * [backup-simplify]: Simplify (- 0) into 0 13.558 * [backup-simplify]: Simplify (+ 0 0) into 0 13.559 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.564 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.565 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 13.567 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.567 * [taylor]: Taking taylor expansion of 0 in k 13.567 * [backup-simplify]: Simplify 0 into 0 13.567 * [backup-simplify]: Simplify 0 into 0 13.567 * [backup-simplify]: Simplify 0 into 0 13.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.569 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.573 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 13.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.574 * [backup-simplify]: Simplify (- 0) into 0 13.574 * [backup-simplify]: Simplify (+ 0 0) into 0 13.575 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.576 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.578 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 13.581 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.581 * [taylor]: Taking taylor expansion of 0 in k 13.581 * [backup-simplify]: Simplify 0 into 0 13.581 * [backup-simplify]: Simplify 0 into 0 13.581 * [backup-simplify]: Simplify 0 into 0 13.581 * [backup-simplify]: Simplify 0 into 0 13.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.587 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 13.587 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.588 * [backup-simplify]: Simplify (- 0) into 0 13.588 * [backup-simplify]: Simplify (+ 0 0) into 0 13.589 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 13.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 13.591 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 13.592 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.592 * [taylor]: Taking taylor expansion of 0 in k 13.592 * [backup-simplify]: Simplify 0 into 0 13.592 * [backup-simplify]: Simplify 0 into 0 13.593 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 13.594 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 13.594 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 13.594 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 13.594 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 13.594 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.594 * [taylor]: Taking taylor expansion of 0.25 in k 13.594 * [backup-simplify]: Simplify 0.25 into 0.25 13.594 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.594 * [taylor]: Taking taylor expansion of k in k 13.594 * [backup-simplify]: Simplify 0 into 0 13.594 * [backup-simplify]: Simplify 1 into 1 13.594 * [backup-simplify]: Simplify (/ 1 1) into 1 13.594 * [taylor]: Taking taylor expansion of 1.0 in k 13.594 * [backup-simplify]: Simplify 1.0 into 1.0 13.594 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 13.594 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 13.594 * [taylor]: Taking taylor expansion of -2.0 in k 13.594 * [backup-simplify]: Simplify -2.0 into -2.0 13.594 * [taylor]: Taking taylor expansion of (/ PI n) in k 13.594 * [taylor]: Taking taylor expansion of PI in k 13.594 * [backup-simplify]: Simplify PI into PI 13.594 * [taylor]: Taking taylor expansion of n in k 13.594 * [backup-simplify]: Simplify n into n 13.595 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 13.595 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 13.595 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 13.595 * [backup-simplify]: Simplify (+ 1 0) into 1 13.595 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.595 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 13.595 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 13.595 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.596 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.596 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.596 * [taylor]: Taking taylor expansion of 0.25 in n 13.596 * [backup-simplify]: Simplify 0.25 into 0.25 13.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.596 * [taylor]: Taking taylor expansion of k in n 13.596 * [backup-simplify]: Simplify k into k 13.596 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.596 * [taylor]: Taking taylor expansion of 1.0 in n 13.596 * [backup-simplify]: Simplify 1.0 into 1.0 13.596 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.596 * [taylor]: Taking taylor expansion of -2.0 in n 13.596 * [backup-simplify]: Simplify -2.0 into -2.0 13.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.596 * [taylor]: Taking taylor expansion of PI in n 13.596 * [backup-simplify]: Simplify PI into PI 13.596 * [taylor]: Taking taylor expansion of n in n 13.596 * [backup-simplify]: Simplify 0 into 0 13.596 * [backup-simplify]: Simplify 1 into 1 13.596 * [backup-simplify]: Simplify (/ PI 1) into PI 13.597 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.597 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.597 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.597 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.598 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.599 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 13.600 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.600 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 13.600 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 13.600 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.600 * [taylor]: Taking taylor expansion of 0.25 in n 13.600 * [backup-simplify]: Simplify 0.25 into 0.25 13.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.600 * [taylor]: Taking taylor expansion of k in n 13.600 * [backup-simplify]: Simplify k into k 13.600 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.600 * [taylor]: Taking taylor expansion of 1.0 in n 13.600 * [backup-simplify]: Simplify 1.0 into 1.0 13.600 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 13.600 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.600 * [taylor]: Taking taylor expansion of -2.0 in n 13.600 * [backup-simplify]: Simplify -2.0 into -2.0 13.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.600 * [taylor]: Taking taylor expansion of PI in n 13.600 * [backup-simplify]: Simplify PI into PI 13.600 * [taylor]: Taking taylor expansion of n in n 13.600 * [backup-simplify]: Simplify 0 into 0 13.600 * [backup-simplify]: Simplify 1 into 1 13.601 * [backup-simplify]: Simplify (/ PI 1) into PI 13.601 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.602 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.602 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.602 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.604 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 13.604 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.604 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 13.604 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 13.604 * [taylor]: Taking taylor expansion of 0.25 in k 13.605 * [backup-simplify]: Simplify 0.25 into 0.25 13.605 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 13.605 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 13.605 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 13.605 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 13.605 * [taylor]: Taking taylor expansion of -2.0 in k 13.605 * [backup-simplify]: Simplify -2.0 into -2.0 13.605 * [taylor]: Taking taylor expansion of PI in k 13.605 * [backup-simplify]: Simplify PI into PI 13.605 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.606 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 13.606 * [taylor]: Taking taylor expansion of (log n) in k 13.606 * [taylor]: Taking taylor expansion of n in k 13.606 * [backup-simplify]: Simplify n into n 13.606 * [backup-simplify]: Simplify (log n) into (log n) 13.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.606 * [taylor]: Taking taylor expansion of k in k 13.606 * [backup-simplify]: Simplify 0 into 0 13.606 * [backup-simplify]: Simplify 1 into 1 13.606 * [backup-simplify]: Simplify (/ 1 1) into 1 13.606 * [taylor]: Taking taylor expansion of 1.0 in k 13.606 * [backup-simplify]: Simplify 1.0 into 1.0 13.606 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.607 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 13.607 * [backup-simplify]: Simplify (+ 1 0) into 1 13.608 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 13.608 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 13.609 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.610 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 13.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.611 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 13.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.612 * [backup-simplify]: Simplify (+ 0 0) into 0 13.613 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.614 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.615 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 13.617 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.617 * [taylor]: Taking taylor expansion of 0 in k 13.617 * [backup-simplify]: Simplify 0 into 0 13.617 * [backup-simplify]: Simplify 0 into 0 13.617 * [backup-simplify]: Simplify 0 into 0 13.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.620 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 13.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.624 * [backup-simplify]: Simplify (+ 0 0) into 0 13.625 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.628 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 13.631 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.631 * [taylor]: Taking taylor expansion of 0 in k 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.631 * [backup-simplify]: Simplify 0 into 0 13.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.633 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.640 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 13.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.640 * [backup-simplify]: Simplify (+ 0 0) into 0 13.641 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 13.645 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 13.648 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.648 * [taylor]: Taking taylor expansion of 0 in k 13.648 * [backup-simplify]: Simplify 0 into 0 13.648 * [backup-simplify]: Simplify 0 into 0 13.649 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 13.649 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 13.649 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 13.649 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 13.649 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.649 * [taylor]: Taking taylor expansion of 1.0 in k 13.650 * [backup-simplify]: Simplify 1.0 into 1.0 13.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.650 * [taylor]: Taking taylor expansion of k in k 13.650 * [backup-simplify]: Simplify 0 into 0 13.650 * [backup-simplify]: Simplify 1 into 1 13.650 * [backup-simplify]: Simplify (/ 1 1) into 1 13.650 * [backup-simplify]: Simplify (sqrt 0) into 0 13.652 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.652 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.652 * [taylor]: Taking taylor expansion of 1.0 in k 13.652 * [backup-simplify]: Simplify 1.0 into 1.0 13.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.652 * [taylor]: Taking taylor expansion of k in k 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 1 into 1 13.652 * [backup-simplify]: Simplify (/ 1 1) into 1 13.653 * [backup-simplify]: Simplify (sqrt 0) into 0 13.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.654 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.654 * [backup-simplify]: Simplify 0 into 0 13.655 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.655 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.659 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.659 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.663 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.663 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.664 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 13.664 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 13.664 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 13.664 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.664 * [taylor]: Taking taylor expansion of 1.0 in k 13.665 * [backup-simplify]: Simplify 1.0 into 1.0 13.665 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.665 * [taylor]: Taking taylor expansion of k in k 13.665 * [backup-simplify]: Simplify 0 into 0 13.665 * [backup-simplify]: Simplify 1 into 1 13.665 * [backup-simplify]: Simplify (sqrt 0) into 0 13.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.666 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.666 * [taylor]: Taking taylor expansion of 1.0 in k 13.666 * [backup-simplify]: Simplify 1.0 into 1.0 13.666 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.666 * [taylor]: Taking taylor expansion of k in k 13.666 * [backup-simplify]: Simplify 0 into 0 13.666 * [backup-simplify]: Simplify 1 into 1 13.666 * [backup-simplify]: Simplify (sqrt 0) into 0 13.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.667 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.667 * [backup-simplify]: Simplify 0 into 0 13.668 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.668 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.670 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.671 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.671 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.677 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.678 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.679 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 13.679 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 13.679 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 13.679 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.679 * [taylor]: Taking taylor expansion of 1.0 in k 13.679 * [backup-simplify]: Simplify 1.0 into 1.0 13.679 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.679 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.679 * [taylor]: Taking taylor expansion of -1 in k 13.679 * [backup-simplify]: Simplify -1 into -1 13.679 * [taylor]: Taking taylor expansion of k in k 13.679 * [backup-simplify]: Simplify 0 into 0 13.679 * [backup-simplify]: Simplify 1 into 1 13.679 * [backup-simplify]: Simplify (/ -1 1) into -1 13.680 * [backup-simplify]: Simplify (sqrt 0) into 0 13.680 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.681 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.681 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.681 * [taylor]: Taking taylor expansion of 1.0 in k 13.681 * [backup-simplify]: Simplify 1.0 into 1.0 13.681 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.681 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.681 * [taylor]: Taking taylor expansion of -1 in k 13.681 * [backup-simplify]: Simplify -1 into -1 13.681 * [taylor]: Taking taylor expansion of k in k 13.681 * [backup-simplify]: Simplify 0 into 0 13.681 * [backup-simplify]: Simplify 1 into 1 13.681 * [backup-simplify]: Simplify (/ -1 1) into -1 13.681 * [backup-simplify]: Simplify (sqrt 0) into 0 13.683 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.683 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.690 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.690 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.699 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.700 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.701 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.701 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 13.701 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 13.702 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 13.702 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.702 * [taylor]: Taking taylor expansion of 2.0 in n 13.702 * [backup-simplify]: Simplify 2.0 into 2.0 13.702 * [taylor]: Taking taylor expansion of (* n PI) in n 13.702 * [taylor]: Taking taylor expansion of n in n 13.702 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify 1 into 1 13.702 * [taylor]: Taking taylor expansion of PI in n 13.702 * [backup-simplify]: Simplify PI into PI 13.702 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 13.702 * [taylor]: Taking taylor expansion of 2.0 in n 13.702 * [backup-simplify]: Simplify 2.0 into 2.0 13.702 * [taylor]: Taking taylor expansion of (* n PI) in n 13.702 * [taylor]: Taking taylor expansion of n in n 13.702 * [backup-simplify]: Simplify 0 into 0 13.702 * [backup-simplify]: Simplify 1 into 1 13.702 * [taylor]: Taking taylor expansion of PI in n 13.702 * [backup-simplify]: Simplify PI into PI 13.703 * [backup-simplify]: Simplify (* 0 PI) into 0 13.703 * [backup-simplify]: Simplify (* 2.0 0) into 0 13.703 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.706 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 13.707 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.711 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.711 * [backup-simplify]: Simplify 0 into 0 13.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.714 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.714 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.717 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 13.717 * [backup-simplify]: Simplify 0 into 0 13.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 13.721 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 13.724 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 13.725 * [backup-simplify]: Simplify 0 into 0 13.725 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 13.726 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 13.726 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 13.726 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.726 * [taylor]: Taking taylor expansion of 2.0 in n 13.726 * [backup-simplify]: Simplify 2.0 into 2.0 13.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.726 * [taylor]: Taking taylor expansion of PI in n 13.726 * [backup-simplify]: Simplify PI into PI 13.726 * [taylor]: Taking taylor expansion of n in n 13.726 * [backup-simplify]: Simplify 0 into 0 13.726 * [backup-simplify]: Simplify 1 into 1 13.726 * [backup-simplify]: Simplify (/ PI 1) into PI 13.726 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 13.726 * [taylor]: Taking taylor expansion of 2.0 in n 13.726 * [backup-simplify]: Simplify 2.0 into 2.0 13.727 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.727 * [taylor]: Taking taylor expansion of PI in n 13.727 * [backup-simplify]: Simplify PI into PI 13.727 * [taylor]: Taking taylor expansion of n in n 13.727 * [backup-simplify]: Simplify 0 into 0 13.727 * [backup-simplify]: Simplify 1 into 1 13.727 * [backup-simplify]: Simplify (/ PI 1) into PI 13.728 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.728 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.730 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 13.730 * [backup-simplify]: Simplify 0 into 0 13.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.732 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.732 * [backup-simplify]: Simplify 0 into 0 13.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.735 * [backup-simplify]: Simplify 0 into 0 13.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.737 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.737 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.740 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.740 * [backup-simplify]: Simplify 0 into 0 13.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.742 * [backup-simplify]: Simplify 0 into 0 13.742 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 13.743 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 13.743 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 13.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.743 * [taylor]: Taking taylor expansion of -2.0 in n 13.743 * [backup-simplify]: Simplify -2.0 into -2.0 13.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.743 * [taylor]: Taking taylor expansion of PI in n 13.743 * [backup-simplify]: Simplify PI into PI 13.743 * [taylor]: Taking taylor expansion of n in n 13.743 * [backup-simplify]: Simplify 0 into 0 13.743 * [backup-simplify]: Simplify 1 into 1 13.743 * [backup-simplify]: Simplify (/ PI 1) into PI 13.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 13.743 * [taylor]: Taking taylor expansion of -2.0 in n 13.743 * [backup-simplify]: Simplify -2.0 into -2.0 13.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 13.743 * [taylor]: Taking taylor expansion of PI in n 13.743 * [backup-simplify]: Simplify PI into PI 13.743 * [taylor]: Taking taylor expansion of n in n 13.743 * [backup-simplify]: Simplify 0 into 0 13.744 * [backup-simplify]: Simplify 1 into 1 13.744 * [backup-simplify]: Simplify (/ PI 1) into PI 13.744 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.744 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 13.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.746 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 13.746 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.747 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.747 * [backup-simplify]: Simplify 0 into 0 13.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.748 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.748 * [backup-simplify]: Simplify 0 into 0 13.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.750 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.750 * [backup-simplify]: Simplify 0 into 0 13.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.752 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 13.752 * [backup-simplify]: Simplify 0 into 0 13.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.753 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 13.753 * [backup-simplify]: Simplify 0 into 0 13.754 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 13.754 * * * [progress]: simplifying candidates 13.757 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 13.761 * * [simplify]: Extracting # 0 : cost 133 inf + 0 13.761 * * [simplify]: Extracting # 1 : cost 227 inf + 0 13.761 * * [simplify]: Extracting # 2 : cost 254 inf + 919 13.762 * * [simplify]: Extracting # 3 : cost 231 inf + 7439 13.764 * * [simplify]: Extracting # 4 : cost 174 inf + 20405 13.767 * * [simplify]: Extracting # 5 : cost 127 inf + 36046 13.771 * * [simplify]: Extracting # 6 : cost 73 inf + 55807 13.777 * * [simplify]: Extracting # 7 : cost 32 inf + 73868 13.794 * * [simplify]: Extracting # 8 : cost 21 inf + 79563 13.807 * * [simplify]: Extracting # 9 : cost 12 inf + 83285 13.819 * * [simplify]: Extracting # 10 : cost 10 inf + 84415 13.830 * * [simplify]: Extracting # 11 : cost 8 inf + 85626 13.837 * * [simplify]: Extracting # 12 : cost 6 inf + 87247 13.844 * * [simplify]: Extracting # 13 : cost 3 inf + 89683 13.851 * * [simplify]: Extracting # 14 : cost 1 inf + 92316 13.859 * * [simplify]: Extracting # 15 : cost 0 inf + 93181 13.872 * * [simplify]: iteration 0 : 328 enodes (cost 99765 ) 14.016 * * [simplify]: Extracting # 0 : cost 0 inf + 93181 14.036 * * [simplify]: Extracting # 1 : cost 248 inf + 88363 14.066 * * [simplify]: Extracting # 2 : cost 174 inf + 114400 14.102 * * [simplify]: Extracting # 3 : cost 51 inf + 157763 14.126 * * [simplify]: Extracting # 4 : cost 0 inf + 185034 14.147 * * [simplify]: Extracting # 5 : cost 0 inf + 184831 14.169 * * [simplify]: Extracting # 6 : cost 0 inf + 184790 14.190 * * [simplify]: iteration 1 : 938 enodes (cost 91240 ) 14.663 * * [simplify]: Extracting # 0 : cost 0 inf + 184790 14.698 * * [simplify]: Extracting # 1 : cost 571 inf + 180703 14.763 * * [simplify]: Extracting # 2 : cost 122 inf + 297169 14.853 * * [simplify]: Extracting # 3 : cost 26 inf + 331168 14.942 * * [simplify]: Extracting # 4 : cost 0 inf + 347084 15.040 * * [simplify]: Extracting # 5 : cost 0 inf + 346884 15.124 * * [simplify]: Extracting # 6 : cost 0 inf + 346844 15.198 * * [simplify]: iteration 2 : 2615 enodes (cost 90178 ) 15.953 * * [simplify]: Extracting # 0 : cost 0 inf + 346844 16.056 * * [simplify]: Extracting # 1 : cost 1104 inf + 344086 16.173 * * [simplify]: Extracting # 2 : cost 347 inf + 551612 16.316 * * [simplify]: Extracting # 3 : cost 78 inf + 642850 16.499 * * [simplify]: Extracting # 4 : cost 0 inf + 685967 16.673 * * [simplify]: iteration complete: 5002 enodes (cost 89898 ) 16.676 * [simplify]: Simplified to: (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* n PI) 2.0) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* n PI) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* n PI) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* n PI) 2.0) (sqrt (- 1.0 k))) (pow (* (* n PI) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* n PI) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* n PI) 2.0) (- 1.0 k)) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* n PI) 2.0) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* n PI) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* n PI) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* n PI) 2.0) (sqrt (- 1.0 k))) (pow (* (* n PI) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* n PI) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* n PI) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* n PI) 2.0) (- 1.0 k)) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* n PI) 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (* (* 1.0 1.0) 1.0) 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 (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (* (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 (* (* n PI) 2.0)) (sqrt (* (* n PI) 2.0)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (+ (+ (* 0.03125 (* (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k k))) (* (* (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (* (log n) (* k k))) 0.0625)) (- (+ (exp (* (log (* (* n PI) 2.0)) 0.25)) (* 0.03125 (* (exp (* (log (* (* n PI) 2.0)) 0.25)) (* (* (log n) k) (* (log n) k))))) (* 0.25 (+ (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)))))) (exp (* (* 0.25 (- 1.0 k)) (log (* (* n PI) 2.0)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (* 0.03125 (* (* (log (* 2.0 PI)) (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) (* k k))) (* (* (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (* (log n) (* k k))) 0.0625)) (- (+ (exp (* (log (* (* n PI) 2.0)) 0.25)) (* 0.03125 (* (exp (* (log (* (* n PI) 2.0)) 0.25)) (* (* (log n) k) (* (log n) k))))) (* 0.25 (+ (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)))))) (exp (* (* 0.25 (- 1.0 k)) (log (* (* n PI) 2.0)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* (* k k) +nan.0) (- +nan.0 (* +nan.0 k)))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k))))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) +nan.0)) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) 16.698 * * * [progress]: adding candidates to table 18.443 * * [progress]: iteration 3 / 4 18.443 * * * [progress]: picking best candidate 18.513 * * * * [pick]: Picked # 18.513 * * * [progress]: localizing error 18.572 * * * [progress]: generating rewritten candidates 18.572 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 18.602 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 18.632 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 18.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 18.653 * * * [progress]: generating series expansions 18.653 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 18.654 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 18.654 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 18.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 18.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 18.654 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 18.654 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 18.654 * [taylor]: Taking taylor expansion of 0.25 in k 18.654 * [backup-simplify]: Simplify 0.25 into 0.25 18.654 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.655 * [taylor]: Taking taylor expansion of 1.0 in k 18.655 * [backup-simplify]: Simplify 1.0 into 1.0 18.655 * [taylor]: Taking taylor expansion of k in k 18.655 * [backup-simplify]: Simplify 0 into 0 18.655 * [backup-simplify]: Simplify 1 into 1 18.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 18.655 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 18.655 * [taylor]: Taking taylor expansion of 2.0 in k 18.655 * [backup-simplify]: Simplify 2.0 into 2.0 18.655 * [taylor]: Taking taylor expansion of (* n PI) in k 18.655 * [taylor]: Taking taylor expansion of n in k 18.655 * [backup-simplify]: Simplify n into n 18.655 * [taylor]: Taking taylor expansion of PI in k 18.655 * [backup-simplify]: Simplify PI into PI 18.655 * [backup-simplify]: Simplify (* n PI) into (* n PI) 18.655 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 18.655 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 18.656 * [backup-simplify]: Simplify (- 0) into 0 18.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.656 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 18.657 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 18.657 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 18.657 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 18.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.657 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.657 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 18.657 * [taylor]: Taking taylor expansion of 0.25 in n 18.657 * [backup-simplify]: Simplify 0.25 into 0.25 18.657 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.657 * [taylor]: Taking taylor expansion of 1.0 in n 18.657 * [backup-simplify]: Simplify 1.0 into 1.0 18.657 * [taylor]: Taking taylor expansion of k in n 18.657 * [backup-simplify]: Simplify k into k 18.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.657 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.657 * [taylor]: Taking taylor expansion of 2.0 in n 18.657 * [backup-simplify]: Simplify 2.0 into 2.0 18.657 * [taylor]: Taking taylor expansion of (* n PI) in n 18.657 * [taylor]: Taking taylor expansion of n in n 18.657 * [backup-simplify]: Simplify 0 into 0 18.657 * [backup-simplify]: Simplify 1 into 1 18.657 * [taylor]: Taking taylor expansion of PI in n 18.657 * [backup-simplify]: Simplify PI into PI 18.658 * [backup-simplify]: Simplify (* 0 PI) into 0 18.658 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.660 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.662 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.663 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.663 * [backup-simplify]: Simplify (- k) into (- k) 18.663 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.663 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 18.664 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.666 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 18.667 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 18.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 18.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.667 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.667 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 18.667 * [taylor]: Taking taylor expansion of 0.25 in n 18.667 * [backup-simplify]: Simplify 0.25 into 0.25 18.667 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.667 * [taylor]: Taking taylor expansion of 1.0 in n 18.667 * [backup-simplify]: Simplify 1.0 into 1.0 18.667 * [taylor]: Taking taylor expansion of k in n 18.667 * [backup-simplify]: Simplify k into k 18.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.667 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.667 * [taylor]: Taking taylor expansion of 2.0 in n 18.667 * [backup-simplify]: Simplify 2.0 into 2.0 18.667 * [taylor]: Taking taylor expansion of (* n PI) in n 18.668 * [taylor]: Taking taylor expansion of n in n 18.668 * [backup-simplify]: Simplify 0 into 0 18.668 * [backup-simplify]: Simplify 1 into 1 18.668 * [taylor]: Taking taylor expansion of PI in n 18.668 * [backup-simplify]: Simplify PI into PI 18.668 * [backup-simplify]: Simplify (* 0 PI) into 0 18.669 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.670 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.672 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.673 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.673 * [backup-simplify]: Simplify (- k) into (- k) 18.673 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.673 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 18.674 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.676 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 18.677 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 18.677 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 18.677 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 18.677 * [taylor]: Taking taylor expansion of 0.25 in k 18.677 * [backup-simplify]: Simplify 0.25 into 0.25 18.677 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 18.677 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.677 * [taylor]: Taking taylor expansion of 1.0 in k 18.677 * [backup-simplify]: Simplify 1.0 into 1.0 18.677 * [taylor]: Taking taylor expansion of k in k 18.677 * [backup-simplify]: Simplify 0 into 0 18.677 * [backup-simplify]: Simplify 1 into 1 18.677 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 18.677 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.677 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.677 * [taylor]: Taking taylor expansion of 2.0 in k 18.677 * [backup-simplify]: Simplify 2.0 into 2.0 18.677 * [taylor]: Taking taylor expansion of PI in k 18.677 * [backup-simplify]: Simplify PI into PI 18.678 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.679 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.679 * [taylor]: Taking taylor expansion of (log n) in k 18.679 * [taylor]: Taking taylor expansion of n in k 18.679 * [backup-simplify]: Simplify n into n 18.679 * [backup-simplify]: Simplify (log n) into (log n) 18.679 * [backup-simplify]: Simplify (- 0) into 0 18.680 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.681 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 18.682 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 18.683 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 18.684 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 18.686 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 18.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.688 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 18.690 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.690 * [backup-simplify]: Simplify (- 0) into 0 18.690 * [backup-simplify]: Simplify (+ 0 0) into 0 18.691 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 18.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.693 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 18.695 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.695 * [taylor]: Taking taylor expansion of 0 in k 18.695 * [backup-simplify]: Simplify 0 into 0 18.695 * [backup-simplify]: Simplify 0 into 0 18.696 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.700 * [backup-simplify]: Simplify (+ 0 0) into 0 18.707 * [backup-simplify]: Simplify (- 1) into -1 18.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.710 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 18.712 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 18.715 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 18.717 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 18.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.718 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.720 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 18.720 * [backup-simplify]: Simplify (- 0) into 0 18.721 * [backup-simplify]: Simplify (+ 0 0) into 0 18.721 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 18.722 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.723 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.724 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.724 * [taylor]: Taking taylor expansion of 0 in k 18.724 * [backup-simplify]: Simplify 0 into 0 18.724 * [backup-simplify]: Simplify 0 into 0 18.725 * [backup-simplify]: Simplify 0 into 0 18.725 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 18.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 18.728 * [backup-simplify]: Simplify (+ 0 0) into 0 18.729 * [backup-simplify]: Simplify (- 0) into 0 18.729 * [backup-simplify]: Simplify (+ 0 0) into 0 18.730 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.732 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 18.734 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 18.738 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 18.744 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 18.744 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 18.744 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 18.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 18.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 18.744 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 18.744 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 18.745 * [taylor]: Taking taylor expansion of 0.25 in k 18.745 * [backup-simplify]: Simplify 0.25 into 0.25 18.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.745 * [taylor]: Taking taylor expansion of 1.0 in k 18.745 * [backup-simplify]: Simplify 1.0 into 1.0 18.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.745 * [taylor]: Taking taylor expansion of k in k 18.745 * [backup-simplify]: Simplify 0 into 0 18.745 * [backup-simplify]: Simplify 1 into 1 18.745 * [backup-simplify]: Simplify (/ 1 1) into 1 18.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 18.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 18.745 * [taylor]: Taking taylor expansion of 2.0 in k 18.745 * [backup-simplify]: Simplify 2.0 into 2.0 18.745 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.745 * [taylor]: Taking taylor expansion of PI in k 18.745 * [backup-simplify]: Simplify PI into PI 18.745 * [taylor]: Taking taylor expansion of n in k 18.745 * [backup-simplify]: Simplify n into n 18.745 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.745 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 18.745 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 18.746 * [backup-simplify]: Simplify (- 1) into -1 18.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.747 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 18.747 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 18.747 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 18.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 18.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.747 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.747 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 18.747 * [taylor]: Taking taylor expansion of 0.25 in n 18.747 * [backup-simplify]: Simplify 0.25 into 0.25 18.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.747 * [taylor]: Taking taylor expansion of 1.0 in n 18.747 * [backup-simplify]: Simplify 1.0 into 1.0 18.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.747 * [taylor]: Taking taylor expansion of k in n 18.747 * [backup-simplify]: Simplify k into k 18.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.748 * [taylor]: Taking taylor expansion of 2.0 in n 18.748 * [backup-simplify]: Simplify 2.0 into 2.0 18.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.748 * [taylor]: Taking taylor expansion of PI in n 18.748 * [backup-simplify]: Simplify PI into PI 18.748 * [taylor]: Taking taylor expansion of n in n 18.748 * [backup-simplify]: Simplify 0 into 0 18.748 * [backup-simplify]: Simplify 1 into 1 18.748 * [backup-simplify]: Simplify (/ PI 1) into PI 18.749 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.750 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.750 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.750 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.750 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 18.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.753 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 18.754 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 18.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.754 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.754 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 18.754 * [taylor]: Taking taylor expansion of 0.25 in n 18.754 * [backup-simplify]: Simplify 0.25 into 0.25 18.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.754 * [taylor]: Taking taylor expansion of 1.0 in n 18.754 * [backup-simplify]: Simplify 1.0 into 1.0 18.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.755 * [taylor]: Taking taylor expansion of k in n 18.755 * [backup-simplify]: Simplify k into k 18.755 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.755 * [taylor]: Taking taylor expansion of 2.0 in n 18.755 * [backup-simplify]: Simplify 2.0 into 2.0 18.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.755 * [taylor]: Taking taylor expansion of PI in n 18.755 * [backup-simplify]: Simplify PI into PI 18.755 * [taylor]: Taking taylor expansion of n in n 18.755 * [backup-simplify]: Simplify 0 into 0 18.755 * [backup-simplify]: Simplify 1 into 1 18.755 * [backup-simplify]: Simplify (/ PI 1) into PI 18.756 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.757 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.757 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.757 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.757 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 18.759 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.760 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 18.762 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.762 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 18.762 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 18.762 * [taylor]: Taking taylor expansion of 0.25 in k 18.762 * [backup-simplify]: Simplify 0.25 into 0.25 18.762 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 18.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.762 * [taylor]: Taking taylor expansion of 1.0 in k 18.762 * [backup-simplify]: Simplify 1.0 into 1.0 18.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.762 * [taylor]: Taking taylor expansion of k in k 18.762 * [backup-simplify]: Simplify 0 into 0 18.762 * [backup-simplify]: Simplify 1 into 1 18.763 * [backup-simplify]: Simplify (/ 1 1) into 1 18.763 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 18.763 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.763 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.763 * [taylor]: Taking taylor expansion of 2.0 in k 18.763 * [backup-simplify]: Simplify 2.0 into 2.0 18.763 * [taylor]: Taking taylor expansion of PI in k 18.763 * [backup-simplify]: Simplify PI into PI 18.763 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.764 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.764 * [taylor]: Taking taylor expansion of (log n) in k 18.765 * [taylor]: Taking taylor expansion of n in k 18.765 * [backup-simplify]: Simplify n into n 18.765 * [backup-simplify]: Simplify (log n) into (log n) 18.765 * [backup-simplify]: Simplify (- 1) into -1 18.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.766 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.767 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 18.768 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 18.769 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 18.771 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.772 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.774 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.776 * [backup-simplify]: Simplify (- 0) into 0 18.777 * [backup-simplify]: Simplify (+ 0 0) into 0 18.777 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 18.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.780 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 18.782 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.782 * [taylor]: Taking taylor expansion of 0 in k 18.782 * [backup-simplify]: Simplify 0 into 0 18.782 * [backup-simplify]: Simplify 0 into 0 18.782 * [backup-simplify]: Simplify 0 into 0 18.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.783 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 18.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.785 * [backup-simplify]: Simplify (- 0) into 0 18.786 * [backup-simplify]: Simplify (+ 0 0) into 0 18.786 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 18.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.788 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 18.790 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.790 * [taylor]: Taking taylor expansion of 0 in k 18.790 * [backup-simplify]: Simplify 0 into 0 18.790 * [backup-simplify]: Simplify 0 into 0 18.790 * [backup-simplify]: Simplify 0 into 0 18.790 * [backup-simplify]: Simplify 0 into 0 18.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.791 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.794 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 18.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.795 * [backup-simplify]: Simplify (- 0) into 0 18.795 * [backup-simplify]: Simplify (+ 0 0) into 0 18.796 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 18.797 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.798 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 18.800 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.800 * [taylor]: Taking taylor expansion of 0 in k 18.800 * [backup-simplify]: Simplify 0 into 0 18.800 * [backup-simplify]: Simplify 0 into 0 18.801 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 18.801 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 18.801 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 18.801 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 18.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 18.801 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 18.801 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 18.801 * [taylor]: Taking taylor expansion of 0.25 in k 18.801 * [backup-simplify]: Simplify 0.25 into 0.25 18.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.801 * [taylor]: Taking taylor expansion of k in k 18.801 * [backup-simplify]: Simplify 0 into 0 18.801 * [backup-simplify]: Simplify 1 into 1 18.802 * [backup-simplify]: Simplify (/ 1 1) into 1 18.802 * [taylor]: Taking taylor expansion of 1.0 in k 18.802 * [backup-simplify]: Simplify 1.0 into 1.0 18.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 18.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 18.802 * [taylor]: Taking taylor expansion of -2.0 in k 18.802 * [backup-simplify]: Simplify -2.0 into -2.0 18.802 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.802 * [taylor]: Taking taylor expansion of PI in k 18.802 * [backup-simplify]: Simplify PI into PI 18.802 * [taylor]: Taking taylor expansion of n in k 18.802 * [backup-simplify]: Simplify n into n 18.802 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.802 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 18.802 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 18.802 * [backup-simplify]: Simplify (+ 1 0) into 1 18.803 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 18.803 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 18.803 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 18.803 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 18.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 18.803 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 18.803 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 18.803 * [taylor]: Taking taylor expansion of 0.25 in n 18.803 * [backup-simplify]: Simplify 0.25 into 0.25 18.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.803 * [taylor]: Taking taylor expansion of k in n 18.803 * [backup-simplify]: Simplify k into k 18.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.803 * [taylor]: Taking taylor expansion of 1.0 in n 18.803 * [backup-simplify]: Simplify 1.0 into 1.0 18.803 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 18.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 18.803 * [taylor]: Taking taylor expansion of -2.0 in n 18.803 * [backup-simplify]: Simplify -2.0 into -2.0 18.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.803 * [taylor]: Taking taylor expansion of PI in n 18.803 * [backup-simplify]: Simplify PI into PI 18.803 * [taylor]: Taking taylor expansion of n in n 18.803 * [backup-simplify]: Simplify 0 into 0 18.803 * [backup-simplify]: Simplify 1 into 1 18.803 * [backup-simplify]: Simplify (/ PI 1) into PI 18.804 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.804 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 18.805 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.805 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 18.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.806 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 18.807 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 18.807 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 18.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 18.807 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 18.807 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 18.807 * [taylor]: Taking taylor expansion of 0.25 in n 18.807 * [backup-simplify]: Simplify 0.25 into 0.25 18.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 18.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.807 * [taylor]: Taking taylor expansion of k in n 18.807 * [backup-simplify]: Simplify k into k 18.807 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.807 * [taylor]: Taking taylor expansion of 1.0 in n 18.807 * [backup-simplify]: Simplify 1.0 into 1.0 18.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 18.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 18.807 * [taylor]: Taking taylor expansion of -2.0 in n 18.807 * [backup-simplify]: Simplify -2.0 into -2.0 18.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.807 * [taylor]: Taking taylor expansion of PI in n 18.807 * [backup-simplify]: Simplify PI into PI 18.807 * [taylor]: Taking taylor expansion of n in n 18.807 * [backup-simplify]: Simplify 0 into 0 18.807 * [backup-simplify]: Simplify 1 into 1 18.808 * [backup-simplify]: Simplify (/ PI 1) into PI 18.808 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.809 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 18.809 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 18.809 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 18.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.812 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 18.813 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 18.813 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 18.813 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 18.813 * [taylor]: Taking taylor expansion of 0.25 in k 18.813 * [backup-simplify]: Simplify 0.25 into 0.25 18.813 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 18.813 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 18.813 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 18.813 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 18.813 * [taylor]: Taking taylor expansion of -2.0 in k 18.814 * [backup-simplify]: Simplify -2.0 into -2.0 18.814 * [taylor]: Taking taylor expansion of PI in k 18.814 * [backup-simplify]: Simplify PI into PI 18.814 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 18.815 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 18.815 * [taylor]: Taking taylor expansion of (log n) in k 18.815 * [taylor]: Taking taylor expansion of n in k 18.815 * [backup-simplify]: Simplify n into n 18.815 * [backup-simplify]: Simplify (log n) into (log n) 18.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 18.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.815 * [taylor]: Taking taylor expansion of k in k 18.815 * [backup-simplify]: Simplify 0 into 0 18.816 * [backup-simplify]: Simplify 1 into 1 18.822 * [backup-simplify]: Simplify (/ 1 1) into 1 18.822 * [taylor]: Taking taylor expansion of 1.0 in k 18.822 * [backup-simplify]: Simplify 1.0 into 1.0 18.822 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.824 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 18.824 * [backup-simplify]: Simplify (+ 1 0) into 1 18.825 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 18.826 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 18.828 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 18.829 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 18.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.831 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 18.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 18.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.834 * [backup-simplify]: Simplify (+ 0 0) into 0 18.834 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 18.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.837 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 18.839 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 18.839 * [taylor]: Taking taylor expansion of 0 in k 18.839 * [backup-simplify]: Simplify 0 into 0 18.839 * [backup-simplify]: Simplify 0 into 0 18.839 * [backup-simplify]: Simplify 0 into 0 18.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.841 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 18.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.845 * [backup-simplify]: Simplify (+ 0 0) into 0 18.846 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 18.847 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.849 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 18.851 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.851 * [taylor]: Taking taylor expansion of 0 in k 18.852 * [backup-simplify]: Simplify 0 into 0 18.852 * [backup-simplify]: Simplify 0 into 0 18.852 * [backup-simplify]: Simplify 0 into 0 18.852 * [backup-simplify]: Simplify 0 into 0 18.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.854 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.860 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 18.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.861 * [backup-simplify]: Simplify (+ 0 0) into 0 18.862 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 18.863 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 18.865 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 18.868 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 18.868 * [taylor]: Taking taylor expansion of 0 in k 18.868 * [backup-simplify]: Simplify 0 into 0 18.868 * [backup-simplify]: Simplify 0 into 0 18.869 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 18.870 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 18.870 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 18.870 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 18.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 18.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 18.870 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 18.870 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 18.871 * [taylor]: Taking taylor expansion of 0.25 in k 18.871 * [backup-simplify]: Simplify 0.25 into 0.25 18.871 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.871 * [taylor]: Taking taylor expansion of 1.0 in k 18.871 * [backup-simplify]: Simplify 1.0 into 1.0 18.871 * [taylor]: Taking taylor expansion of k in k 18.871 * [backup-simplify]: Simplify 0 into 0 18.871 * [backup-simplify]: Simplify 1 into 1 18.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 18.871 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 18.871 * [taylor]: Taking taylor expansion of 2.0 in k 18.871 * [backup-simplify]: Simplify 2.0 into 2.0 18.871 * [taylor]: Taking taylor expansion of (* n PI) in k 18.871 * [taylor]: Taking taylor expansion of n in k 18.871 * [backup-simplify]: Simplify n into n 18.871 * [taylor]: Taking taylor expansion of PI in k 18.871 * [backup-simplify]: Simplify PI into PI 18.871 * [backup-simplify]: Simplify (* n PI) into (* n PI) 18.871 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 18.871 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 18.872 * [backup-simplify]: Simplify (- 0) into 0 18.872 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.872 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 18.872 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 18.873 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 18.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 18.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.873 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 18.873 * [taylor]: Taking taylor expansion of 0.25 in n 18.873 * [backup-simplify]: Simplify 0.25 into 0.25 18.873 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.873 * [taylor]: Taking taylor expansion of 1.0 in n 18.873 * [backup-simplify]: Simplify 1.0 into 1.0 18.873 * [taylor]: Taking taylor expansion of k in n 18.873 * [backup-simplify]: Simplify k into k 18.873 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.873 * [taylor]: Taking taylor expansion of 2.0 in n 18.873 * [backup-simplify]: Simplify 2.0 into 2.0 18.873 * [taylor]: Taking taylor expansion of (* n PI) in n 18.873 * [taylor]: Taking taylor expansion of n in n 18.873 * [backup-simplify]: Simplify 0 into 0 18.873 * [backup-simplify]: Simplify 1 into 1 18.873 * [taylor]: Taking taylor expansion of PI in n 18.873 * [backup-simplify]: Simplify PI into PI 18.874 * [backup-simplify]: Simplify (* 0 PI) into 0 18.874 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.877 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.878 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.879 * [backup-simplify]: Simplify (- k) into (- k) 18.879 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.879 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 18.880 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.881 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 18.883 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 18.883 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 18.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 18.883 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 18.883 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 18.883 * [taylor]: Taking taylor expansion of 0.25 in n 18.883 * [backup-simplify]: Simplify 0.25 into 0.25 18.883 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 18.883 * [taylor]: Taking taylor expansion of 1.0 in n 18.883 * [backup-simplify]: Simplify 1.0 into 1.0 18.883 * [taylor]: Taking taylor expansion of k in n 18.883 * [backup-simplify]: Simplify k into k 18.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 18.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 18.883 * [taylor]: Taking taylor expansion of 2.0 in n 18.883 * [backup-simplify]: Simplify 2.0 into 2.0 18.883 * [taylor]: Taking taylor expansion of (* n PI) in n 18.883 * [taylor]: Taking taylor expansion of n in n 18.883 * [backup-simplify]: Simplify 0 into 0 18.883 * [backup-simplify]: Simplify 1 into 1 18.883 * [taylor]: Taking taylor expansion of PI in n 18.883 * [backup-simplify]: Simplify PI into PI 18.884 * [backup-simplify]: Simplify (* 0 PI) into 0 18.884 * [backup-simplify]: Simplify (* 2.0 0) into 0 18.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.887 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 18.888 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.889 * [backup-simplify]: Simplify (- k) into (- k) 18.889 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 18.889 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 18.890 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.891 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 18.893 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 18.893 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 18.893 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 18.893 * [taylor]: Taking taylor expansion of 0.25 in k 18.893 * [backup-simplify]: Simplify 0.25 into 0.25 18.893 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 18.893 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 18.893 * [taylor]: Taking taylor expansion of 1.0 in k 18.893 * [backup-simplify]: Simplify 1.0 into 1.0 18.893 * [taylor]: Taking taylor expansion of k in k 18.893 * [backup-simplify]: Simplify 0 into 0 18.893 * [backup-simplify]: Simplify 1 into 1 18.893 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 18.893 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.893 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.893 * [taylor]: Taking taylor expansion of 2.0 in k 18.893 * [backup-simplify]: Simplify 2.0 into 2.0 18.893 * [taylor]: Taking taylor expansion of PI in k 18.893 * [backup-simplify]: Simplify PI into PI 18.894 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.895 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.895 * [taylor]: Taking taylor expansion of (log n) in k 18.895 * [taylor]: Taking taylor expansion of n in k 18.895 * [backup-simplify]: Simplify n into n 18.895 * [backup-simplify]: Simplify (log n) into (log n) 18.895 * [backup-simplify]: Simplify (- 0) into 0 18.896 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 18.897 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 18.898 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 18.899 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 18.900 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 18.901 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 18.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.904 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 18.905 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.906 * [backup-simplify]: Simplify (- 0) into 0 18.906 * [backup-simplify]: Simplify (+ 0 0) into 0 18.907 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 18.908 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.909 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 18.911 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.911 * [taylor]: Taking taylor expansion of 0 in k 18.911 * [backup-simplify]: Simplify 0 into 0 18.912 * [backup-simplify]: Simplify 0 into 0 18.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.915 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 18.916 * [backup-simplify]: Simplify (+ 0 0) into 0 18.916 * [backup-simplify]: Simplify (- 1) into -1 18.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.918 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 18.919 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 18.921 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 18.923 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 18.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.926 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 18.927 * [backup-simplify]: Simplify (- 0) into 0 18.927 * [backup-simplify]: Simplify (+ 0 0) into 0 18.927 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 18.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 18.929 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.931 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.931 * [taylor]: Taking taylor expansion of 0 in k 18.931 * [backup-simplify]: Simplify 0 into 0 18.931 * [backup-simplify]: Simplify 0 into 0 18.931 * [backup-simplify]: Simplify 0 into 0 18.931 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.933 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 18.934 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 18.935 * [backup-simplify]: Simplify (+ 0 0) into 0 18.935 * [backup-simplify]: Simplify (- 0) into 0 18.935 * [backup-simplify]: Simplify (+ 0 0) into 0 18.936 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 18.938 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 18.941 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 18.944 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 18.955 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 18.955 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 18.955 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 18.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 18.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 18.955 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 18.955 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 18.955 * [taylor]: Taking taylor expansion of 0.25 in k 18.955 * [backup-simplify]: Simplify 0.25 into 0.25 18.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.955 * [taylor]: Taking taylor expansion of 1.0 in k 18.955 * [backup-simplify]: Simplify 1.0 into 1.0 18.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.955 * [taylor]: Taking taylor expansion of k in k 18.955 * [backup-simplify]: Simplify 0 into 0 18.955 * [backup-simplify]: Simplify 1 into 1 18.956 * [backup-simplify]: Simplify (/ 1 1) into 1 18.956 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 18.956 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 18.956 * [taylor]: Taking taylor expansion of 2.0 in k 18.956 * [backup-simplify]: Simplify 2.0 into 2.0 18.956 * [taylor]: Taking taylor expansion of (/ PI n) in k 18.956 * [taylor]: Taking taylor expansion of PI in k 18.956 * [backup-simplify]: Simplify PI into PI 18.956 * [taylor]: Taking taylor expansion of n in k 18.956 * [backup-simplify]: Simplify n into n 18.956 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 18.956 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 18.956 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 18.956 * [backup-simplify]: Simplify (- 1) into -1 18.957 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.957 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 18.957 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 18.957 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 18.957 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 18.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.957 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.957 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 18.957 * [taylor]: Taking taylor expansion of 0.25 in n 18.957 * [backup-simplify]: Simplify 0.25 into 0.25 18.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.957 * [taylor]: Taking taylor expansion of 1.0 in n 18.957 * [backup-simplify]: Simplify 1.0 into 1.0 18.957 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.957 * [taylor]: Taking taylor expansion of k in n 18.957 * [backup-simplify]: Simplify k into k 18.957 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.957 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.957 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.957 * [taylor]: Taking taylor expansion of 2.0 in n 18.957 * [backup-simplify]: Simplify 2.0 into 2.0 18.957 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.957 * [taylor]: Taking taylor expansion of PI in n 18.957 * [backup-simplify]: Simplify PI into PI 18.957 * [taylor]: Taking taylor expansion of n in n 18.957 * [backup-simplify]: Simplify 0 into 0 18.958 * [backup-simplify]: Simplify 1 into 1 18.958 * [backup-simplify]: Simplify (/ PI 1) into PI 18.958 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.959 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.959 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.959 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.959 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 18.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.961 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 18.962 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.962 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 18.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 18.962 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 18.962 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 18.962 * [taylor]: Taking taylor expansion of 0.25 in n 18.962 * [backup-simplify]: Simplify 0.25 into 0.25 18.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 18.962 * [taylor]: Taking taylor expansion of 1.0 in n 18.962 * [backup-simplify]: Simplify 1.0 into 1.0 18.962 * [taylor]: Taking taylor expansion of (/ 1 k) in n 18.962 * [taylor]: Taking taylor expansion of k in n 18.962 * [backup-simplify]: Simplify k into k 18.962 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 18.962 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 18.962 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 18.962 * [taylor]: Taking taylor expansion of 2.0 in n 18.962 * [backup-simplify]: Simplify 2.0 into 2.0 18.962 * [taylor]: Taking taylor expansion of (/ PI n) in n 18.962 * [taylor]: Taking taylor expansion of PI in n 18.962 * [backup-simplify]: Simplify PI into PI 18.962 * [taylor]: Taking taylor expansion of n in n 18.962 * [backup-simplify]: Simplify 0 into 0 18.962 * [backup-simplify]: Simplify 1 into 1 18.962 * [backup-simplify]: Simplify (/ PI 1) into PI 18.963 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.963 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.963 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 18.964 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 18.964 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 18.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.965 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 18.966 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.966 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 18.966 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 18.966 * [taylor]: Taking taylor expansion of 0.25 in k 18.966 * [backup-simplify]: Simplify 0.25 into 0.25 18.966 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 18.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 18.966 * [taylor]: Taking taylor expansion of 1.0 in k 18.966 * [backup-simplify]: Simplify 1.0 into 1.0 18.966 * [taylor]: Taking taylor expansion of (/ 1 k) in k 18.966 * [taylor]: Taking taylor expansion of k in k 18.966 * [backup-simplify]: Simplify 0 into 0 18.966 * [backup-simplify]: Simplify 1 into 1 18.967 * [backup-simplify]: Simplify (/ 1 1) into 1 18.967 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 18.967 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 18.967 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 18.967 * [taylor]: Taking taylor expansion of 2.0 in k 18.967 * [backup-simplify]: Simplify 2.0 into 2.0 18.967 * [taylor]: Taking taylor expansion of PI in k 18.967 * [backup-simplify]: Simplify PI into PI 18.967 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 18.968 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 18.968 * [taylor]: Taking taylor expansion of (log n) in k 18.968 * [taylor]: Taking taylor expansion of n in k 18.968 * [backup-simplify]: Simplify n into n 18.968 * [backup-simplify]: Simplify (log n) into (log n) 18.968 * [backup-simplify]: Simplify (- 1) into -1 18.968 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.968 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 18.969 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 18.970 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 18.971 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 18.971 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.972 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 18.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.973 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 18.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 18.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 18.975 * [backup-simplify]: Simplify (- 0) into 0 18.975 * [backup-simplify]: Simplify (+ 0 0) into 0 18.975 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 18.976 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.977 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 18.978 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 18.978 * [taylor]: Taking taylor expansion of 0 in k 18.978 * [backup-simplify]: Simplify 0 into 0 18.978 * [backup-simplify]: Simplify 0 into 0 18.978 * [backup-simplify]: Simplify 0 into 0 18.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.979 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 18.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.982 * [backup-simplify]: Simplify (- 0) into 0 18.982 * [backup-simplify]: Simplify (+ 0 0) into 0 18.983 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 18.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 18.986 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 18.988 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 18.988 * [taylor]: Taking taylor expansion of 0 in k 18.988 * [backup-simplify]: Simplify 0 into 0 18.989 * [backup-simplify]: Simplify 0 into 0 18.989 * [backup-simplify]: Simplify 0 into 0 18.989 * [backup-simplify]: Simplify 0 into 0 18.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.991 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.997 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 18.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 18.997 * [backup-simplify]: Simplify (- 0) into 0 18.998 * [backup-simplify]: Simplify (+ 0 0) into 0 18.999 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 19.000 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 19.002 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 19.003 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.003 * [taylor]: Taking taylor expansion of 0 in k 19.004 * [backup-simplify]: Simplify 0 into 0 19.004 * [backup-simplify]: Simplify 0 into 0 19.004 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 19.005 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 19.005 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 19.005 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 19.005 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 19.005 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 19.005 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 19.005 * [taylor]: Taking taylor expansion of 0.25 in k 19.005 * [backup-simplify]: Simplify 0.25 into 0.25 19.005 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.005 * [taylor]: Taking taylor expansion of k in k 19.005 * [backup-simplify]: Simplify 0 into 0 19.005 * [backup-simplify]: Simplify 1 into 1 19.005 * [backup-simplify]: Simplify (/ 1 1) into 1 19.005 * [taylor]: Taking taylor expansion of 1.0 in k 19.005 * [backup-simplify]: Simplify 1.0 into 1.0 19.005 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 19.005 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 19.005 * [taylor]: Taking taylor expansion of -2.0 in k 19.005 * [backup-simplify]: Simplify -2.0 into -2.0 19.005 * [taylor]: Taking taylor expansion of (/ PI n) in k 19.005 * [taylor]: Taking taylor expansion of PI in k 19.005 * [backup-simplify]: Simplify PI into PI 19.005 * [taylor]: Taking taylor expansion of n in k 19.005 * [backup-simplify]: Simplify n into n 19.006 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 19.006 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 19.006 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 19.006 * [backup-simplify]: Simplify (+ 1 0) into 1 19.006 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 19.006 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 19.006 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 19.006 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 19.006 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 19.006 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 19.007 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 19.007 * [taylor]: Taking taylor expansion of 0.25 in n 19.007 * [backup-simplify]: Simplify 0.25 into 0.25 19.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.007 * [taylor]: Taking taylor expansion of k in n 19.007 * [backup-simplify]: Simplify k into k 19.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.007 * [taylor]: Taking taylor expansion of 1.0 in n 19.007 * [backup-simplify]: Simplify 1.0 into 1.0 19.007 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 19.007 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.007 * [taylor]: Taking taylor expansion of -2.0 in n 19.007 * [backup-simplify]: Simplify -2.0 into -2.0 19.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.007 * [taylor]: Taking taylor expansion of PI in n 19.007 * [backup-simplify]: Simplify PI into PI 19.007 * [taylor]: Taking taylor expansion of n in n 19.007 * [backup-simplify]: Simplify 0 into 0 19.007 * [backup-simplify]: Simplify 1 into 1 19.007 * [backup-simplify]: Simplify (/ PI 1) into PI 19.007 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.008 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.008 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.008 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 19.009 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.010 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 19.011 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.011 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 19.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 19.011 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 19.011 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 19.011 * [taylor]: Taking taylor expansion of 0.25 in n 19.011 * [backup-simplify]: Simplify 0.25 into 0.25 19.011 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 19.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 19.011 * [taylor]: Taking taylor expansion of k in n 19.011 * [backup-simplify]: Simplify k into k 19.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 19.011 * [taylor]: Taking taylor expansion of 1.0 in n 19.011 * [backup-simplify]: Simplify 1.0 into 1.0 19.011 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 19.011 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 19.011 * [taylor]: Taking taylor expansion of -2.0 in n 19.011 * [backup-simplify]: Simplify -2.0 into -2.0 19.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 19.011 * [taylor]: Taking taylor expansion of PI in n 19.011 * [backup-simplify]: Simplify PI into PI 19.011 * [taylor]: Taking taylor expansion of n in n 19.011 * [backup-simplify]: Simplify 0 into 0 19.011 * [backup-simplify]: Simplify 1 into 1 19.011 * [backup-simplify]: Simplify (/ PI 1) into PI 19.012 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.012 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.012 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 19.012 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 19.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.014 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 19.015 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.015 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 19.015 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 19.015 * [taylor]: Taking taylor expansion of 0.25 in k 19.015 * [backup-simplify]: Simplify 0.25 into 0.25 19.015 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 19.015 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 19.015 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 19.015 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 19.015 * [taylor]: Taking taylor expansion of -2.0 in k 19.015 * [backup-simplify]: Simplify -2.0 into -2.0 19.015 * [taylor]: Taking taylor expansion of PI in k 19.015 * [backup-simplify]: Simplify PI into PI 19.015 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 19.016 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 19.016 * [taylor]: Taking taylor expansion of (log n) in k 19.016 * [taylor]: Taking taylor expansion of n in k 19.016 * [backup-simplify]: Simplify n into n 19.016 * [backup-simplify]: Simplify (log n) into (log n) 19.016 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 19.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.016 * [taylor]: Taking taylor expansion of k in k 19.016 * [backup-simplify]: Simplify 0 into 0 19.016 * [backup-simplify]: Simplify 1 into 1 19.017 * [backup-simplify]: Simplify (/ 1 1) into 1 19.017 * [taylor]: Taking taylor expansion of 1.0 in k 19.017 * [backup-simplify]: Simplify 1.0 into 1.0 19.017 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 19.017 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 19.018 * [backup-simplify]: Simplify (+ 1 0) into 1 19.018 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 19.019 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 19.020 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.021 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 19.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.022 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 19.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 19.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 19.023 * [backup-simplify]: Simplify (+ 0 0) into 0 19.023 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 19.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.025 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 19.026 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 19.026 * [taylor]: Taking taylor expansion of 0 in k 19.026 * [backup-simplify]: Simplify 0 into 0 19.026 * [backup-simplify]: Simplify 0 into 0 19.026 * [backup-simplify]: Simplify 0 into 0 19.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.028 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 19.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 19.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.030 * [backup-simplify]: Simplify (+ 0 0) into 0 19.031 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 19.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.034 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 19.037 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 19.037 * [taylor]: Taking taylor expansion of 0 in k 19.037 * [backup-simplify]: Simplify 0 into 0 19.037 * [backup-simplify]: Simplify 0 into 0 19.037 * [backup-simplify]: Simplify 0 into 0 19.037 * [backup-simplify]: Simplify 0 into 0 19.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.039 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.046 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 19.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 19.047 * [backup-simplify]: Simplify (+ 0 0) into 0 19.048 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 19.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 19.051 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 19.054 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 19.054 * [taylor]: Taking taylor expansion of 0 in k 19.054 * [backup-simplify]: Simplify 0 into 0 19.054 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 19.056 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 19.056 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 19.056 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 19.056 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.056 * [taylor]: Taking taylor expansion of 1.0 in k 19.056 * [backup-simplify]: Simplify 1.0 into 1.0 19.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.056 * [taylor]: Taking taylor expansion of k in k 19.056 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify 1 into 1 19.056 * [backup-simplify]: Simplify (/ 1 1) into 1 19.057 * [backup-simplify]: Simplify (sqrt 0) into 0 19.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.058 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.058 * [taylor]: Taking taylor expansion of 1.0 in k 19.058 * [backup-simplify]: Simplify 1.0 into 1.0 19.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.058 * [taylor]: Taking taylor expansion of k in k 19.058 * [backup-simplify]: Simplify 0 into 0 19.059 * [backup-simplify]: Simplify 1 into 1 19.059 * [backup-simplify]: Simplify (/ 1 1) into 1 19.065 * [backup-simplify]: Simplify (sqrt 0) into 0 19.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.068 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.068 * [backup-simplify]: Simplify 0 into 0 19.070 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.070 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.076 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.084 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.084 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.085 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 19.086 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 19.086 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 19.086 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.086 * [taylor]: Taking taylor expansion of 1.0 in k 19.086 * [backup-simplify]: Simplify 1.0 into 1.0 19.086 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.086 * [taylor]: Taking taylor expansion of k in k 19.086 * [backup-simplify]: Simplify 0 into 0 19.086 * [backup-simplify]: Simplify 1 into 1 19.086 * [backup-simplify]: Simplify (sqrt 0) into 0 19.087 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.087 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.087 * [taylor]: Taking taylor expansion of 1.0 in k 19.087 * [backup-simplify]: Simplify 1.0 into 1.0 19.088 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.088 * [taylor]: Taking taylor expansion of k in k 19.088 * [backup-simplify]: Simplify 0 into 0 19.088 * [backup-simplify]: Simplify 1 into 1 19.088 * [backup-simplify]: Simplify (sqrt 0) into 0 19.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.090 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.090 * [backup-simplify]: Simplify 0 into 0 19.091 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.091 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.094 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.096 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.097 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.102 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.104 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 19.104 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 19.105 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 19.105 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.105 * [taylor]: Taking taylor expansion of 1.0 in k 19.105 * [backup-simplify]: Simplify 1.0 into 1.0 19.105 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.105 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.105 * [taylor]: Taking taylor expansion of -1 in k 19.105 * [backup-simplify]: Simplify -1 into -1 19.105 * [taylor]: Taking taylor expansion of k in k 19.105 * [backup-simplify]: Simplify 0 into 0 19.105 * [backup-simplify]: Simplify 1 into 1 19.105 * [backup-simplify]: Simplify (/ -1 1) into -1 19.106 * [backup-simplify]: Simplify (sqrt 0) into 0 19.107 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.107 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.107 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.107 * [taylor]: Taking taylor expansion of 1.0 in k 19.107 * [backup-simplify]: Simplify 1.0 into 1.0 19.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.108 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.108 * [taylor]: Taking taylor expansion of -1 in k 19.108 * [backup-simplify]: Simplify -1 into -1 19.108 * [taylor]: Taking taylor expansion of k in k 19.108 * [backup-simplify]: Simplify 0 into 0 19.108 * [backup-simplify]: Simplify 1 into 1 19.108 * [backup-simplify]: Simplify (/ -1 1) into -1 19.108 * [backup-simplify]: Simplify (sqrt 0) into 0 19.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.110 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.110 * [backup-simplify]: Simplify +nan.0 into +nan.0 19.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.114 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.117 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 19.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.126 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 19.127 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.128 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 19.128 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 19.128 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 19.128 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 19.128 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.128 * [taylor]: Taking taylor expansion of 1.0 in k 19.128 * [backup-simplify]: Simplify 1.0 into 1.0 19.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.128 * [taylor]: Taking taylor expansion of k in k 19.128 * [backup-simplify]: Simplify 0 into 0 19.128 * [backup-simplify]: Simplify 1 into 1 19.129 * [backup-simplify]: Simplify (/ 1 1) into 1 19.129 * [backup-simplify]: Simplify (sqrt 0) into 0 19.131 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.131 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 19.131 * [taylor]: Taking taylor expansion of 1.0 in k 19.131 * [backup-simplify]: Simplify 1.0 into 1.0 19.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 19.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 19.131 * [taylor]: Taking taylor expansion of k in k 19.131 * [backup-simplify]: Simplify 0 into 0 19.131 * [backup-simplify]: Simplify 1 into 1 19.131 * [backup-simplify]: Simplify (/ 1 1) into 1 19.132 * [backup-simplify]: Simplify (sqrt 0) into 0 19.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.134 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.134 * [backup-simplify]: Simplify 0 into 0 19.135 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.135 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.141 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.141 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.146 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.149 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.149 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.151 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 19.151 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 19.151 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 19.151 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.151 * [taylor]: Taking taylor expansion of 1.0 in k 19.151 * [backup-simplify]: Simplify 1.0 into 1.0 19.151 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.151 * [taylor]: Taking taylor expansion of k in k 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify 1 into 1 19.151 * [backup-simplify]: Simplify (sqrt 0) into 0 19.152 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.153 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 19.153 * [taylor]: Taking taylor expansion of 1.0 in k 19.153 * [backup-simplify]: Simplify 1.0 into 1.0 19.153 * [taylor]: Taking taylor expansion of (sqrt k) in k 19.153 * [taylor]: Taking taylor expansion of k in k 19.153 * [backup-simplify]: Simplify 0 into 0 19.153 * [backup-simplify]: Simplify 1 into 1 19.153 * [backup-simplify]: Simplify (sqrt 0) into 0 19.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 19.155 * [backup-simplify]: Simplify (* 1.0 0) into 0 19.155 * [backup-simplify]: Simplify 0 into 0 19.157 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 19.157 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.160 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.162 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 19.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.168 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 19.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.171 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 19.171 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 19.171 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 19.171 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.171 * [taylor]: Taking taylor expansion of 1.0 in k 19.171 * [backup-simplify]: Simplify 1.0 into 1.0 19.171 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.171 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.171 * [taylor]: Taking taylor expansion of -1 in k 19.171 * [backup-simplify]: Simplify -1 into -1 19.171 * [taylor]: Taking taylor expansion of k in k 19.171 * [backup-simplify]: Simplify 0 into 0 19.171 * [backup-simplify]: Simplify 1 into 1 19.172 * [backup-simplify]: Simplify (/ -1 1) into -1 19.172 * [backup-simplify]: Simplify (sqrt 0) into 0 19.174 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.174 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.174 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 19.174 * [taylor]: Taking taylor expansion of 1.0 in k 19.174 * [backup-simplify]: Simplify 1.0 into 1.0 19.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 19.174 * [taylor]: Taking taylor expansion of (/ -1 k) in k 19.174 * [taylor]: Taking taylor expansion of -1 in k 19.174 * [backup-simplify]: Simplify -1 into -1 19.174 * [taylor]: Taking taylor expansion of k in k 19.174 * [backup-simplify]: Simplify 0 into 0 19.174 * [backup-simplify]: Simplify 1 into 1 19.175 * [backup-simplify]: Simplify (/ -1 1) into -1 19.175 * [backup-simplify]: Simplify (sqrt 0) into 0 19.176 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 19.177 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 19.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 19.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 19.181 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 19.183 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 19.184 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 19.193 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 19.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 19.195 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 19.195 * * * [progress]: simplifying candidates 19.202 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (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) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +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))))) 19.209 * * [simplify]: Extracting # 0 : cost 117 inf + 0 19.210 * * [simplify]: Extracting # 1 : cost 203 inf + 0 19.210 * * [simplify]: Extracting # 2 : cost 240 inf + 125 19.212 * * [simplify]: Extracting # 3 : cost 228 inf + 4138 19.223 * * [simplify]: Extracting # 4 : cost 174 inf + 17054 19.229 * * [simplify]: Extracting # 5 : cost 118 inf + 36219 19.237 * * [simplify]: Extracting # 6 : cost 70 inf + 53766 19.247 * * [simplify]: Extracting # 7 : cost 41 inf + 65731 19.254 * * [simplify]: Extracting # 8 : cost 25 inf + 73350 19.260 * * [simplify]: Extracting # 9 : cost 14 inf + 78866 19.266 * * [simplify]: Extracting # 10 : cost 9 inf + 81624 19.272 * * [simplify]: Extracting # 11 : cost 5 inf + 83823 19.278 * * [simplify]: Extracting # 12 : cost 3 inf + 85935 19.288 * * [simplify]: Extracting # 13 : cost 1 inf + 88288 19.301 * * [simplify]: Extracting # 14 : cost 0 inf + 90096 19.315 * * [simplify]: iteration 0 : 302 enodes (cost 107820 ) 19.459 * * [simplify]: Extracting # 0 : cost 0 inf + 90096 19.469 * * [simplify]: Extracting # 1 : cost 228 inf + 85843 19.498 * * [simplify]: Extracting # 2 : cost 174 inf + 111242 19.532 * * [simplify]: Extracting # 3 : cost 50 inf + 155490 19.571 * * [simplify]: Extracting # 4 : cost 0 inf + 180242 19.592 * * [simplify]: Extracting # 5 : cost 0 inf + 179327 19.613 * * [simplify]: Extracting # 6 : cost 0 inf + 179167 19.633 * * [simplify]: iteration 1 : 856 enodes (cost 97786 ) 20.045 * * [simplify]: Extracting # 0 : cost 0 inf + 179167 20.088 * * [simplify]: Extracting # 1 : cost 506 inf + 174913 20.147 * * [simplify]: Extracting # 2 : cost 140 inf + 280034 20.221 * * [simplify]: Extracting # 3 : cost 27 inf + 319336 20.299 * * [simplify]: Extracting # 4 : cost 0 inf + 333892 20.385 * * [simplify]: Extracting # 5 : cost 0 inf + 333772 20.489 * * [simplify]: iteration 2 : 2317 enodes (cost 96442 ) 21.131 * * [simplify]: Extracting # 0 : cost 0 inf + 333772 21.207 * * [simplify]: Extracting # 1 : cost 1246 inf + 331206 21.348 * * [simplify]: Extracting # 2 : cost 332 inf + 606937 21.510 * * [simplify]: Extracting # 3 : cost 93 inf + 688881 21.693 * * [simplify]: Extracting # 4 : cost 0 inf + 739137 21.885 * * [simplify]: Extracting # 5 : cost 0 inf + 738817 22.061 * * [simplify]: Extracting # 6 : cost 0 inf + 738697 22.241 * * [simplify]: iteration complete: 5002 enodes (cost 96442 ) 22.243 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 4)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (/ (* 1.0 1.0) k) (/ 1.0 (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 (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (/ (* 1.0 1.0) k) (/ 1.0 (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 (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (* (log n) (* k k)))) (+ (+ (* (* 0.03125 (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* (* k k) (exp (* (log (* (* 2.0 PI) n)) 0.25)))) (exp (* (log (* (* 2.0 PI) n)) 0.25))) (* 0.03125 (* (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (log n))) (* k k))))) (* 0.25 (* k (+ (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- 1.0 k) (log (* (* 2.0 PI) n))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.0625 (* (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (* (log n) (* k k)))) (+ (+ (* (* 0.03125 (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* (* k k) (exp (* (log (* (* 2.0 PI) n)) 0.25)))) (exp (* (log (* (* 2.0 PI) n)) 0.25))) (* 0.03125 (* (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (log n))) (* k k))))) (* 0.25 (* k (+ (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- 1.0 k) (log (* (* 2.0 PI) n))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* (* k k) +nan.0) (- +nan.0 (* +nan.0 k)))) (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) +nan.0)) (- (- (* (* k k) +nan.0) (- +nan.0 (* +nan.0 k)))) (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k))))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) +nan.0)) 22.275 * * * [progress]: adding candidates to table 24.228 * * [progress]: iteration 4 / 4 24.228 * * * [progress]: picking best candidate 24.277 * * * * [pick]: Picked # 24.277 * * * [progress]: localizing error 24.331 * * * [progress]: generating rewritten candidates 24.331 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 24.352 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 24.472 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 24.480 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 24.554 * * * [progress]: generating series expansions 24.554 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 24.555 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 24.555 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 24.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 24.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 24.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 24.555 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 24.555 * [taylor]: Taking taylor expansion of 0.5 in k 24.555 * [backup-simplify]: Simplify 0.5 into 0.5 24.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 24.555 * [taylor]: Taking taylor expansion of 1.0 in k 24.555 * [backup-simplify]: Simplify 1.0 into 1.0 24.555 * [taylor]: Taking taylor expansion of k in k 24.555 * [backup-simplify]: Simplify 0 into 0 24.555 * [backup-simplify]: Simplify 1 into 1 24.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 24.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 24.556 * [taylor]: Taking taylor expansion of 2.0 in k 24.556 * [backup-simplify]: Simplify 2.0 into 2.0 24.556 * [taylor]: Taking taylor expansion of (* n PI) in k 24.556 * [taylor]: Taking taylor expansion of n in k 24.556 * [backup-simplify]: Simplify n into n 24.556 * [taylor]: Taking taylor expansion of PI in k 24.556 * [backup-simplify]: Simplify PI into PI 24.556 * [backup-simplify]: Simplify (* n PI) into (* n PI) 24.556 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 24.556 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 24.556 * [backup-simplify]: Simplify (- 0) into 0 24.557 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 24.557 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 24.557 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 24.558 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 24.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 24.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 24.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 24.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 24.558 * [taylor]: Taking taylor expansion of 0.5 in n 24.558 * [backup-simplify]: Simplify 0.5 into 0.5 24.558 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 24.558 * [taylor]: Taking taylor expansion of 1.0 in n 24.558 * [backup-simplify]: Simplify 1.0 into 1.0 24.558 * [taylor]: Taking taylor expansion of k in n 24.558 * [backup-simplify]: Simplify k into k 24.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 24.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 24.558 * [taylor]: Taking taylor expansion of 2.0 in n 24.558 * [backup-simplify]: Simplify 2.0 into 2.0 24.558 * [taylor]: Taking taylor expansion of (* n PI) in n 24.558 * [taylor]: Taking taylor expansion of n in n 24.558 * [backup-simplify]: Simplify 0 into 0 24.558 * [backup-simplify]: Simplify 1 into 1 24.558 * [taylor]: Taking taylor expansion of PI in n 24.558 * [backup-simplify]: Simplify PI into PI 24.559 * [backup-simplify]: Simplify (* 0 PI) into 0 24.559 * [backup-simplify]: Simplify (* 2.0 0) into 0 24.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.562 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 24.564 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 24.564 * [backup-simplify]: Simplify (- k) into (- k) 24.564 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 24.564 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 24.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 24.566 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 24.568 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 24.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 24.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 24.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 24.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 24.568 * [taylor]: Taking taylor expansion of 0.5 in n 24.568 * [backup-simplify]: Simplify 0.5 into 0.5 24.568 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 24.568 * [taylor]: Taking taylor expansion of 1.0 in n 24.568 * [backup-simplify]: Simplify 1.0 into 1.0 24.568 * [taylor]: Taking taylor expansion of k in n 24.568 * [backup-simplify]: Simplify k into k 24.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 24.568 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 24.568 * [taylor]: Taking taylor expansion of 2.0 in n 24.568 * [backup-simplify]: Simplify 2.0 into 2.0 24.568 * [taylor]: Taking taylor expansion of (* n PI) in n 24.568 * [taylor]: Taking taylor expansion of n in n 24.568 * [backup-simplify]: Simplify 0 into 0 24.568 * [backup-simplify]: Simplify 1 into 1 24.568 * [taylor]: Taking taylor expansion of PI in n 24.568 * [backup-simplify]: Simplify PI into PI 24.569 * [backup-simplify]: Simplify (* 0 PI) into 0 24.569 * [backup-simplify]: Simplify (* 2.0 0) into 0 24.571 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 24.572 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 24.573 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 24.573 * [backup-simplify]: Simplify (- k) into (- k) 24.574 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 24.574 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 24.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 24.576 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 24.578 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 24.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 24.578 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 24.578 * [taylor]: Taking taylor expansion of 0.5 in k 24.578 * [backup-simplify]: Simplify 0.5 into 0.5 24.578 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 24.578 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 24.578 * [taylor]: Taking taylor expansion of 1.0 in k 24.578 * [backup-simplify]: Simplify 1.0 into 1.0 24.578 * [taylor]: Taking taylor expansion of k in k 24.578 * [backup-simplify]: Simplify 0 into 0 24.578 * [backup-simplify]: Simplify 1 into 1 24.578 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 24.578 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 24.578 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 24.578 * [taylor]: Taking taylor expansion of 2.0 in k 24.578 * [backup-simplify]: Simplify 2.0 into 2.0 24.578 * [taylor]: Taking taylor expansion of PI in k 24.578 * [backup-simplify]: Simplify PI into PI 24.579 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 24.580 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 24.580 * [taylor]: Taking taylor expansion of (log n) in k 24.580 * [taylor]: Taking taylor expansion of n in k 24.580 * [backup-simplify]: Simplify n into n 24.580 * [backup-simplify]: Simplify (log n) into (log n) 24.580 * [backup-simplify]: Simplify (- 0) into 0 24.581 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 24.582 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 24.583 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 24.584 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 24.585 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 24.586 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 24.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 24.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 24.591 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 24.591 * [backup-simplify]: Simplify (- 0) into 0 24.591 * [backup-simplify]: Simplify (+ 0 0) into 0 24.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 24.594 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 24.595 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 24.597 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 24.597 * [taylor]: Taking taylor expansion of 0 in k 24.597 * [backup-simplify]: Simplify 0 into 0 24.597 * [backup-simplify]: Simplify 0 into 0 24.598 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 24.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 24.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 24.601 * [backup-simplify]: Simplify (+ 0 0) into 0 24.602 * [backup-simplify]: Simplify (- 1) into -1 24.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.604 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 24.606 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 24.609 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 24.612 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 24.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 24.614 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 24.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 24.618 * [backup-simplify]: Simplify (- 0) into 0 24.618 * [backup-simplify]: Simplify (+ 0 0) into 0 24.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 24.621 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 24.622 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 24.625 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.625 * [taylor]: Taking taylor expansion of 0 in k 24.625 * [backup-simplify]: Simplify 0 into 0 24.625 * [backup-simplify]: Simplify 0 into 0 24.625 * [backup-simplify]: Simplify 0 into 0 24.626 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 24.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 24.632 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 24.632 * [backup-simplify]: Simplify (+ 0 0) into 0 24.633 * [backup-simplify]: Simplify (- 0) into 0 24.633 * [backup-simplify]: Simplify (+ 0 0) into 0 24.635 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 24.638 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 24.642 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 24.648 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 24.657 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 24.658 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 24.658 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 24.658 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 24.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 24.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 24.658 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 24.658 * [taylor]: Taking taylor expansion of 0.5 in k 24.658 * [backup-simplify]: Simplify 0.5 into 0.5 24.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 24.658 * [taylor]: Taking taylor expansion of 1.0 in k 24.658 * [backup-simplify]: Simplify 1.0 into 1.0 24.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.659 * [taylor]: Taking taylor expansion of k in k 24.659 * [backup-simplify]: Simplify 0 into 0 24.659 * [backup-simplify]: Simplify 1 into 1 24.659 * [backup-simplify]: Simplify (/ 1 1) into 1 24.659 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 24.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 24.659 * [taylor]: Taking taylor expansion of 2.0 in k 24.659 * [backup-simplify]: Simplify 2.0 into 2.0 24.659 * [taylor]: Taking taylor expansion of (/ PI n) in k 24.659 * [taylor]: Taking taylor expansion of PI in k 24.659 * [backup-simplify]: Simplify PI into PI 24.659 * [taylor]: Taking taylor expansion of n in k 24.659 * [backup-simplify]: Simplify n into n 24.659 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 24.659 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 24.659 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 24.660 * [backup-simplify]: Simplify (- 1) into -1 24.660 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.660 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 24.661 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 24.661 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 24.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 24.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 24.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 24.661 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 24.661 * [taylor]: Taking taylor expansion of 0.5 in n 24.661 * [backup-simplify]: Simplify 0.5 into 0.5 24.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 24.661 * [taylor]: Taking taylor expansion of 1.0 in n 24.661 * [backup-simplify]: Simplify 1.0 into 1.0 24.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.661 * [taylor]: Taking taylor expansion of k in n 24.661 * [backup-simplify]: Simplify k into k 24.661 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 24.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 24.661 * [taylor]: Taking taylor expansion of 2.0 in n 24.661 * [backup-simplify]: Simplify 2.0 into 2.0 24.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.661 * [taylor]: Taking taylor expansion of PI in n 24.661 * [backup-simplify]: Simplify PI into PI 24.661 * [taylor]: Taking taylor expansion of n in n 24.661 * [backup-simplify]: Simplify 0 into 0 24.661 * [backup-simplify]: Simplify 1 into 1 24.662 * [backup-simplify]: Simplify (/ PI 1) into PI 24.662 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 24.663 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 24.664 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 24.664 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 24.664 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 24.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 24.666 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 24.668 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 24.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 24.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 24.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 24.668 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 24.668 * [taylor]: Taking taylor expansion of 0.5 in n 24.668 * [backup-simplify]: Simplify 0.5 into 0.5 24.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 24.668 * [taylor]: Taking taylor expansion of 1.0 in n 24.668 * [backup-simplify]: Simplify 1.0 into 1.0 24.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.668 * [taylor]: Taking taylor expansion of k in n 24.668 * [backup-simplify]: Simplify k into k 24.668 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 24.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 24.668 * [taylor]: Taking taylor expansion of 2.0 in n 24.668 * [backup-simplify]: Simplify 2.0 into 2.0 24.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.668 * [taylor]: Taking taylor expansion of PI in n 24.668 * [backup-simplify]: Simplify PI into PI 24.668 * [taylor]: Taking taylor expansion of n in n 24.668 * [backup-simplify]: Simplify 0 into 0 24.668 * [backup-simplify]: Simplify 1 into 1 24.669 * [backup-simplify]: Simplify (/ PI 1) into PI 24.670 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 24.671 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 24.671 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 24.671 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 24.671 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 24.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 24.682 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 24.683 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 24.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 24.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 24.683 * [taylor]: Taking taylor expansion of 0.5 in k 24.683 * [backup-simplify]: Simplify 0.5 into 0.5 24.683 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 24.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 24.683 * [taylor]: Taking taylor expansion of 1.0 in k 24.683 * [backup-simplify]: Simplify 1.0 into 1.0 24.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.684 * [taylor]: Taking taylor expansion of k in k 24.684 * [backup-simplify]: Simplify 0 into 0 24.684 * [backup-simplify]: Simplify 1 into 1 24.684 * [backup-simplify]: Simplify (/ 1 1) into 1 24.684 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 24.684 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 24.684 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 24.684 * [taylor]: Taking taylor expansion of 2.0 in k 24.684 * [backup-simplify]: Simplify 2.0 into 2.0 24.684 * [taylor]: Taking taylor expansion of PI in k 24.684 * [backup-simplify]: Simplify PI into PI 24.685 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 24.685 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 24.686 * [taylor]: Taking taylor expansion of (log n) in k 24.686 * [taylor]: Taking taylor expansion of n in k 24.686 * [backup-simplify]: Simplify n into n 24.686 * [backup-simplify]: Simplify (log n) into (log n) 24.686 * [backup-simplify]: Simplify (- 1) into -1 24.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 24.686 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 24.687 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 24.688 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 24.689 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 24.691 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 24.692 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 24.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 24.694 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 24.695 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 24.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 24.696 * [backup-simplify]: Simplify (- 0) into 0 24.696 * [backup-simplify]: Simplify (+ 0 0) into 0 24.697 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 24.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 24.699 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 24.701 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 24.701 * [taylor]: Taking taylor expansion of 0 in k 24.701 * [backup-simplify]: Simplify 0 into 0 24.701 * [backup-simplify]: Simplify 0 into 0 24.701 * [backup-simplify]: Simplify 0 into 0 24.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 24.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 24.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 24.707 * [backup-simplify]: Simplify (- 0) into 0 24.707 * [backup-simplify]: Simplify (+ 0 0) into 0 24.708 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 24.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 24.710 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 24.712 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.712 * [taylor]: Taking taylor expansion of 0 in k 24.712 * [backup-simplify]: Simplify 0 into 0 24.712 * [backup-simplify]: Simplify 0 into 0 24.712 * [backup-simplify]: Simplify 0 into 0 24.712 * [backup-simplify]: Simplify 0 into 0 24.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 24.717 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 24.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 24.717 * [backup-simplify]: Simplify (- 0) into 0 24.718 * [backup-simplify]: Simplify (+ 0 0) into 0 24.718 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 24.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 24.721 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 24.722 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.722 * [taylor]: Taking taylor expansion of 0 in k 24.722 * [backup-simplify]: Simplify 0 into 0 24.722 * [backup-simplify]: Simplify 0 into 0 24.723 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 24.724 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 24.724 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 24.724 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 24.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 24.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 24.724 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 24.724 * [taylor]: Taking taylor expansion of 0.5 in k 24.724 * [backup-simplify]: Simplify 0.5 into 0.5 24.724 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 24.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.724 * [taylor]: Taking taylor expansion of k in k 24.724 * [backup-simplify]: Simplify 0 into 0 24.724 * [backup-simplify]: Simplify 1 into 1 24.724 * [backup-simplify]: Simplify (/ 1 1) into 1 24.724 * [taylor]: Taking taylor expansion of 1.0 in k 24.724 * [backup-simplify]: Simplify 1.0 into 1.0 24.724 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 24.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 24.724 * [taylor]: Taking taylor expansion of -2.0 in k 24.724 * [backup-simplify]: Simplify -2.0 into -2.0 24.724 * [taylor]: Taking taylor expansion of (/ PI n) in k 24.724 * [taylor]: Taking taylor expansion of PI in k 24.724 * [backup-simplify]: Simplify PI into PI 24.724 * [taylor]: Taking taylor expansion of n in k 24.724 * [backup-simplify]: Simplify n into n 24.724 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 24.725 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 24.725 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 24.725 * [backup-simplify]: Simplify (+ 1 0) into 1 24.726 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 24.726 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 24.726 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 24.726 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 24.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 24.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 24.726 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 24.726 * [taylor]: Taking taylor expansion of 0.5 in n 24.726 * [backup-simplify]: Simplify 0.5 into 0.5 24.726 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 24.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.726 * [taylor]: Taking taylor expansion of k in n 24.726 * [backup-simplify]: Simplify k into k 24.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.726 * [taylor]: Taking taylor expansion of 1.0 in n 24.726 * [backup-simplify]: Simplify 1.0 into 1.0 24.726 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 24.726 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 24.726 * [taylor]: Taking taylor expansion of -2.0 in n 24.726 * [backup-simplify]: Simplify -2.0 into -2.0 24.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.726 * [taylor]: Taking taylor expansion of PI in n 24.726 * [backup-simplify]: Simplify PI into PI 24.726 * [taylor]: Taking taylor expansion of n in n 24.726 * [backup-simplify]: Simplify 0 into 0 24.726 * [backup-simplify]: Simplify 1 into 1 24.727 * [backup-simplify]: Simplify (/ PI 1) into PI 24.727 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 24.728 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 24.728 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 24.728 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 24.729 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 24.730 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 24.731 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 24.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 24.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 24.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 24.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 24.731 * [taylor]: Taking taylor expansion of 0.5 in n 24.731 * [backup-simplify]: Simplify 0.5 into 0.5 24.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 24.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 24.731 * [taylor]: Taking taylor expansion of k in n 24.731 * [backup-simplify]: Simplify k into k 24.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 24.731 * [taylor]: Taking taylor expansion of 1.0 in n 24.731 * [backup-simplify]: Simplify 1.0 into 1.0 24.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 24.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 24.731 * [taylor]: Taking taylor expansion of -2.0 in n 24.731 * [backup-simplify]: Simplify -2.0 into -2.0 24.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 24.731 * [taylor]: Taking taylor expansion of PI in n 24.731 * [backup-simplify]: Simplify PI into PI 24.731 * [taylor]: Taking taylor expansion of n in n 24.731 * [backup-simplify]: Simplify 0 into 0 24.731 * [backup-simplify]: Simplify 1 into 1 24.731 * [backup-simplify]: Simplify (/ PI 1) into PI 24.732 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 24.732 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 24.733 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 24.733 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 24.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 24.734 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 24.735 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 24.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 24.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 24.735 * [taylor]: Taking taylor expansion of 0.5 in k 24.735 * [backup-simplify]: Simplify 0.5 into 0.5 24.735 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 24.735 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 24.735 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 24.735 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 24.735 * [taylor]: Taking taylor expansion of -2.0 in k 24.735 * [backup-simplify]: Simplify -2.0 into -2.0 24.735 * [taylor]: Taking taylor expansion of PI in k 24.735 * [backup-simplify]: Simplify PI into PI 24.736 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 24.736 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 24.736 * [taylor]: Taking taylor expansion of (log n) in k 24.736 * [taylor]: Taking taylor expansion of n in k 24.736 * [backup-simplify]: Simplify n into n 24.736 * [backup-simplify]: Simplify (log n) into (log n) 24.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 24.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.736 * [taylor]: Taking taylor expansion of k in k 24.736 * [backup-simplify]: Simplify 0 into 0 24.736 * [backup-simplify]: Simplify 1 into 1 24.737 * [backup-simplify]: Simplify (/ 1 1) into 1 24.737 * [taylor]: Taking taylor expansion of 1.0 in k 24.737 * [backup-simplify]: Simplify 1.0 into 1.0 24.737 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 24.737 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 24.738 * [backup-simplify]: Simplify (+ 1 0) into 1 24.738 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 24.739 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 24.740 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 24.741 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 24.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 24.742 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 24.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 24.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 24.743 * [backup-simplify]: Simplify (+ 0 0) into 0 24.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 24.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 24.745 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 24.747 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 24.747 * [taylor]: Taking taylor expansion of 0 in k 24.747 * [backup-simplify]: Simplify 0 into 0 24.747 * [backup-simplify]: Simplify 0 into 0 24.747 * [backup-simplify]: Simplify 0 into 0 24.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.750 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 24.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 24.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 24.755 * [backup-simplify]: Simplify (+ 0 0) into 0 24.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 24.757 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 24.759 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 24.761 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.761 * [taylor]: Taking taylor expansion of 0 in k 24.761 * [backup-simplify]: Simplify 0 into 0 24.761 * [backup-simplify]: Simplify 0 into 0 24.761 * [backup-simplify]: Simplify 0 into 0 24.761 * [backup-simplify]: Simplify 0 into 0 24.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.764 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 24.770 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 24.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 24.770 * [backup-simplify]: Simplify (+ 0 0) into 0 24.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 24.772 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 24.773 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 24.775 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.775 * [taylor]: Taking taylor expansion of 0 in k 24.775 * [backup-simplify]: Simplify 0 into 0 24.775 * [backup-simplify]: Simplify 0 into 0 24.776 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 24.776 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 24.776 * [backup-simplify]: Simplify (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) into (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) 24.776 * [approximate]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) in (k) around 0 24.776 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) in k 24.776 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 24.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.776 * [taylor]: Taking taylor expansion of 1.0 in k 24.777 * [backup-simplify]: Simplify 1.0 into 1.0 24.777 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.777 * [taylor]: Taking taylor expansion of k in k 24.777 * [backup-simplify]: Simplify 0 into 0 24.777 * [backup-simplify]: Simplify 1 into 1 24.778 * [backup-simplify]: Simplify (/ 1 1) into 1 24.778 * [backup-simplify]: Simplify (sqrt 0) into 0 24.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.779 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt (/ 1 k))) in k 24.779 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 24.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.779 * [taylor]: Taking taylor expansion of 1.0 in k 24.779 * [backup-simplify]: Simplify 1.0 into 1.0 24.779 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.779 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 24.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.779 * [taylor]: Taking taylor expansion of k in k 24.779 * [backup-simplify]: Simplify 0 into 0 24.779 * [backup-simplify]: Simplify 1 into 1 24.780 * [backup-simplify]: Simplify (/ 1 1) into 1 24.780 * [backup-simplify]: Simplify (sqrt 0) into 0 24.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.782 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 24.782 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) 0) into 0 24.782 * [backup-simplify]: Simplify 0 into 0 24.782 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 24.784 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.786 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.788 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.793 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 24.794 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 24.796 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.797 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.800 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.801 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 24.802 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 24.806 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.808 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.816 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow k 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) k) (- (* +nan.0 (pow (sqrt 1.0) 2))))) into (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (* (pow (sqrt 1.0) 2) k))))))) 24.818 * [backup-simplify]: Simplify (* (/ (sqrt 1.0) (sqrt (sqrt (/ 1 k)))) (/ (sqrt 1.0) (sqrt (sqrt (/ 1 k))))) into (* (pow (sqrt 1.0) 2) (sqrt k)) 24.818 * [approximate]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt k)) in (k) around 0 24.818 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt k)) in k 24.818 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 24.818 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.818 * [taylor]: Taking taylor expansion of 1.0 in k 24.818 * [backup-simplify]: Simplify 1.0 into 1.0 24.818 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.819 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.819 * [taylor]: Taking taylor expansion of k in k 24.819 * [backup-simplify]: Simplify 0 into 0 24.819 * [backup-simplify]: Simplify 1 into 1 24.819 * [backup-simplify]: Simplify (sqrt 0) into 0 24.821 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.821 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (sqrt k)) in k 24.821 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 24.821 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.821 * [taylor]: Taking taylor expansion of 1.0 in k 24.821 * [backup-simplify]: Simplify 1.0 into 1.0 24.821 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.822 * [taylor]: Taking taylor expansion of (sqrt k) in k 24.822 * [taylor]: Taking taylor expansion of k in k 24.822 * [backup-simplify]: Simplify 0 into 0 24.822 * [backup-simplify]: Simplify 1 into 1 24.822 * [backup-simplify]: Simplify (sqrt 0) into 0 24.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 24.825 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 24.826 * [backup-simplify]: Simplify (* (pow (sqrt 1.0) 2) 0) into 0 24.826 * [backup-simplify]: Simplify 0 into 0 24.826 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 24.830 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.833 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.836 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 24.838 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 24.842 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.845 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 24.851 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1.0))))) into 0 24.855 * [backup-simplify]: Simplify (+ (* (pow (sqrt 1.0) 2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.858 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.868 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 24.869 * [backup-simplify]: Simplify (* (/ (sqrt 1.0) (sqrt (sqrt (/ 1 (- k))))) (/ (sqrt 1.0) (sqrt (sqrt (/ 1 (- k)))))) into (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) 24.869 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 24.869 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 24.869 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 24.869 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.869 * [taylor]: Taking taylor expansion of 1.0 in k 24.869 * [backup-simplify]: Simplify 1.0 into 1.0 24.869 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.870 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.870 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.870 * [taylor]: Taking taylor expansion of -1 in k 24.870 * [backup-simplify]: Simplify -1 into -1 24.870 * [taylor]: Taking taylor expansion of k in k 24.870 * [backup-simplify]: Simplify 0 into 0 24.870 * [backup-simplify]: Simplify 1 into 1 24.871 * [backup-simplify]: Simplify (/ -1 1) into -1 24.871 * [backup-simplify]: Simplify (sqrt 0) into 0 24.873 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.874 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 24.876 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 24.876 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 24.876 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 24.876 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.876 * [taylor]: Taking taylor expansion of 1.0 in k 24.876 * [backup-simplify]: Simplify 1.0 into 1.0 24.876 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 24.877 * [taylor]: Taking taylor expansion of (/ -1 k) in k 24.877 * [taylor]: Taking taylor expansion of -1 in k 24.877 * [backup-simplify]: Simplify -1 into -1 24.877 * [taylor]: Taking taylor expansion of k in k 24.877 * [backup-simplify]: Simplify 0 into 0 24.877 * [backup-simplify]: Simplify 1 into 1 24.878 * [backup-simplify]: Simplify (/ -1 1) into -1 24.878 * [backup-simplify]: Simplify (sqrt 0) into 0 24.879 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 24.880 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 24.882 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) +nan.0) into (* +nan.0 (pow (sqrt 1.0) 2)) 24.884 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 24.885 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 24.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 24.889 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 24.895 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.898 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 24.900 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 24.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.906 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 24.916 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.919 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 24.927 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- k))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) 24.927 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 24.928 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt k))) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 24.928 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in (k) around 0 24.928 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in k 24.928 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.928 * [taylor]: Taking taylor expansion of 1.0 in k 24.928 * [backup-simplify]: Simplify 1.0 into 1.0 24.929 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.929 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 24.929 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 24.929 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 24.929 * [taylor]: Taking taylor expansion of 1/4 in k 24.929 * [backup-simplify]: Simplify 1/4 into 1/4 24.930 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 24.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.930 * [taylor]: Taking taylor expansion of k in k 24.930 * [backup-simplify]: Simplify 0 into 0 24.930 * [backup-simplify]: Simplify 1 into 1 24.937 * [backup-simplify]: Simplify (/ 1 1) into 1 24.938 * [backup-simplify]: Simplify (log 1) into 0 24.938 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.938 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 24.939 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 24.939 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in k 24.939 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 24.939 * [taylor]: Taking taylor expansion of 1.0 in k 24.939 * [backup-simplify]: Simplify 1.0 into 1.0 24.939 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 24.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 24.940 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 24.940 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 24.940 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 24.940 * [taylor]: Taking taylor expansion of 1/4 in k 24.940 * [backup-simplify]: Simplify 1/4 into 1/4 24.940 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 24.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 24.940 * [taylor]: Taking taylor expansion of k in k 24.940 * [backup-simplify]: Simplify 0 into 0 24.940 * [backup-simplify]: Simplify 1 into 1 24.941 * [backup-simplify]: Simplify (/ 1 1) into 1 24.941 * [backup-simplify]: Simplify (log 1) into 0 24.941 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.941 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 24.942 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 24.942 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k -1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 24.943 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 24.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 24.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 24.945 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.946 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 24.946 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 24.947 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow k -1/4))) into 0 24.947 * [backup-simplify]: Simplify 0 into 0 24.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.949 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 24.949 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.950 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 24.950 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.951 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 24.952 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 24.952 * [backup-simplify]: Simplify 0 into 0 24.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.955 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 24.955 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.956 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 24.957 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 24.959 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 24.959 * [backup-simplify]: Simplify 0 into 0 24.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.965 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 24.965 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.966 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 24.968 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 24.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 24.970 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 24.970 * [backup-simplify]: Simplify 0 into 0 24.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 24.980 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 24.981 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 24.982 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 24.984 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 24.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 24.987 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 24.987 * [backup-simplify]: Simplify 0 into 0 24.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.014 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 25.014 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.016 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 25.019 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.020 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.022 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 25.022 * [backup-simplify]: Simplify 0 into 0 25.022 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.022 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt (/ 1 k)))) into (* (sqrt 1.0) (pow k 1/4)) 25.023 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in (k) around 0 25.023 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in k 25.023 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.023 * [taylor]: Taking taylor expansion of 1.0 in k 25.023 * [backup-simplify]: Simplify 1.0 into 1.0 25.023 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.023 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 25.023 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 25.023 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 25.023 * [taylor]: Taking taylor expansion of 1/4 in k 25.023 * [backup-simplify]: Simplify 1/4 into 1/4 25.023 * [taylor]: Taking taylor expansion of (log k) in k 25.023 * [taylor]: Taking taylor expansion of k in k 25.023 * [backup-simplify]: Simplify 0 into 0 25.023 * [backup-simplify]: Simplify 1 into 1 25.024 * [backup-simplify]: Simplify (log 1) into 0 25.024 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.024 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 25.024 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 25.024 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in k 25.024 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.024 * [taylor]: Taking taylor expansion of 1.0 in k 25.024 * [backup-simplify]: Simplify 1.0 into 1.0 25.024 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.025 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 25.025 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 25.025 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 25.025 * [taylor]: Taking taylor expansion of 1/4 in k 25.025 * [backup-simplify]: Simplify 1/4 into 1/4 25.025 * [taylor]: Taking taylor expansion of (log k) in k 25.025 * [taylor]: Taking taylor expansion of k in k 25.025 * [backup-simplify]: Simplify 0 into 0 25.025 * [backup-simplify]: Simplify 1 into 1 25.025 * [backup-simplify]: Simplify (log 1) into 0 25.026 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.026 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 25.026 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 25.026 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k 1/4)) into (* (sqrt 1.0) (pow k 1/4)) 25.026 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k 1/4)) into (* (sqrt 1.0) (pow k 1/4)) 25.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 25.027 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.028 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 25.028 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 25.029 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow k 1/4))) into 0 25.029 * [backup-simplify]: Simplify 0 into 0 25.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 25.030 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.031 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 25.032 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 25.033 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 25.033 * [backup-simplify]: Simplify 0 into 0 25.040 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 25.041 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.042 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 25.043 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.044 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 25.044 * [backup-simplify]: Simplify 0 into 0 25.054 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 25.055 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.056 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 25.059 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.062 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 25.062 * [backup-simplify]: Simplify 0 into 0 25.077 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 25.077 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 25.080 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.082 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 25.083 * [backup-simplify]: Simplify 0 into 0 25.100 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 25.100 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.102 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 25.105 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.107 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 25.107 * [backup-simplify]: Simplify 0 into 0 25.108 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.108 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) 25.108 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 25.108 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 25.108 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.108 * [taylor]: Taking taylor expansion of 1.0 in k 25.108 * [backup-simplify]: Simplify 1.0 into 1.0 25.108 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 25.109 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 25.109 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 25.109 * [taylor]: Taking taylor expansion of (/ -1 k) in k 25.109 * [taylor]: Taking taylor expansion of -1 in k 25.109 * [backup-simplify]: Simplify -1 into -1 25.109 * [taylor]: Taking taylor expansion of k in k 25.109 * [backup-simplify]: Simplify 0 into 0 25.109 * [backup-simplify]: Simplify 1 into 1 25.109 * [backup-simplify]: Simplify (/ -1 1) into -1 25.110 * [backup-simplify]: Simplify (sqrt 0) into 0 25.110 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 25.111 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 25.111 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 25.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 25.113 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 25.114 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 25.116 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 25.116 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 25.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.116 * [taylor]: Taking taylor expansion of 1.0 in k 25.116 * [backup-simplify]: Simplify 1.0 into 1.0 25.116 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 25.116 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 25.116 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 25.116 * [taylor]: Taking taylor expansion of (/ -1 k) in k 25.116 * [taylor]: Taking taylor expansion of -1 in k 25.117 * [backup-simplify]: Simplify -1 into -1 25.117 * [taylor]: Taking taylor expansion of k in k 25.117 * [backup-simplify]: Simplify 0 into 0 25.117 * [backup-simplify]: Simplify 1 into 1 25.117 * [backup-simplify]: Simplify (/ -1 1) into -1 25.117 * [backup-simplify]: Simplify (sqrt 0) into 0 25.118 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 25.118 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 25.118 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 25.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 25.121 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 25.122 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 25.123 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 25.124 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 25.125 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 25.128 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 25.131 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 25.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 25.147 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 25.152 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 25.153 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 25.170 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 25.179 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 25.193 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- k))) (* (sqrt 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))))))))) 25.193 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 25.194 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt k))) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.194 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in (k) around 0 25.194 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in k 25.194 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.194 * [taylor]: Taking taylor expansion of 1.0 in k 25.194 * [backup-simplify]: Simplify 1.0 into 1.0 25.194 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.195 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 25.195 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 25.195 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 25.195 * [taylor]: Taking taylor expansion of 1/4 in k 25.195 * [backup-simplify]: Simplify 1/4 into 1/4 25.195 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 25.195 * [taylor]: Taking taylor expansion of (/ 1 k) in k 25.195 * [taylor]: Taking taylor expansion of k in k 25.195 * [backup-simplify]: Simplify 0 into 0 25.195 * [backup-simplify]: Simplify 1 into 1 25.196 * [backup-simplify]: Simplify (/ 1 1) into 1 25.196 * [backup-simplify]: Simplify (log 1) into 0 25.197 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.197 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 25.197 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 25.197 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in k 25.197 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.197 * [taylor]: Taking taylor expansion of 1.0 in k 25.197 * [backup-simplify]: Simplify 1.0 into 1.0 25.197 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.198 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 25.198 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 25.198 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 25.198 * [taylor]: Taking taylor expansion of 1/4 in k 25.198 * [backup-simplify]: Simplify 1/4 into 1/4 25.198 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 25.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 25.198 * [taylor]: Taking taylor expansion of k in k 25.198 * [backup-simplify]: Simplify 0 into 0 25.198 * [backup-simplify]: Simplify 1 into 1 25.199 * [backup-simplify]: Simplify (/ 1 1) into 1 25.199 * [backup-simplify]: Simplify (log 1) into 0 25.200 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.200 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 25.200 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 25.200 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k -1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.201 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 25.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 25.203 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 25.205 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 25.205 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow k -1/4))) into 0 25.206 * [backup-simplify]: Simplify 0 into 0 25.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 25.210 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 25.212 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.213 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 25.214 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 25.214 * [backup-simplify]: Simplify 0 into 0 25.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.221 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 25.221 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 25.224 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.227 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 25.228 * [backup-simplify]: Simplify 0 into 0 25.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.239 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 25.240 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 25.244 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.246 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.248 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 25.248 * [backup-simplify]: Simplify 0 into 0 25.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.267 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 25.267 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.269 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 25.273 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.277 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 25.277 * [backup-simplify]: Simplify 0 into 0 25.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.310 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 25.310 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 25.312 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 25.315 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.316 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.317 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 25.317 * [backup-simplify]: Simplify 0 into 0 25.318 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.318 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt (/ 1 k)))) into (* (sqrt 1.0) (pow k 1/4)) 25.318 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in (k) around 0 25.318 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in k 25.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.318 * [taylor]: Taking taylor expansion of 1.0 in k 25.318 * [backup-simplify]: Simplify 1.0 into 1.0 25.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.319 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 25.319 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 25.319 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 25.319 * [taylor]: Taking taylor expansion of 1/4 in k 25.319 * [backup-simplify]: Simplify 1/4 into 1/4 25.319 * [taylor]: Taking taylor expansion of (log k) in k 25.319 * [taylor]: Taking taylor expansion of k in k 25.319 * [backup-simplify]: Simplify 0 into 0 25.319 * [backup-simplify]: Simplify 1 into 1 25.319 * [backup-simplify]: Simplify (log 1) into 0 25.320 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.320 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 25.320 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 25.320 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in k 25.320 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.320 * [taylor]: Taking taylor expansion of 1.0 in k 25.320 * [backup-simplify]: Simplify 1.0 into 1.0 25.320 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.320 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 25.320 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 25.320 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 25.320 * [taylor]: Taking taylor expansion of 1/4 in k 25.320 * [backup-simplify]: Simplify 1/4 into 1/4 25.320 * [taylor]: Taking taylor expansion of (log k) in k 25.321 * [taylor]: Taking taylor expansion of k in k 25.321 * [backup-simplify]: Simplify 0 into 0 25.321 * [backup-simplify]: Simplify 1 into 1 25.321 * [backup-simplify]: Simplify (log 1) into 0 25.321 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.321 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 25.321 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 25.322 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k 1/4)) into (* (sqrt 1.0) (pow k 1/4)) 25.322 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k 1/4)) into (* (sqrt 1.0) (pow k 1/4)) 25.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 25.323 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 25.324 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 25.324 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow k 1/4))) into 0 25.324 * [backup-simplify]: Simplify 0 into 0 25.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 25.326 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.327 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 25.327 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 25.329 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 25.329 * [backup-simplify]: Simplify 0 into 0 25.331 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 25.332 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.333 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 25.334 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.335 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 25.335 * [backup-simplify]: Simplify 0 into 0 25.344 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 25.345 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.346 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 25.349 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.352 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 25.353 * [backup-simplify]: Simplify 0 into 0 25.370 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 25.371 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.373 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 25.378 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 25.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.382 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 25.382 * [backup-simplify]: Simplify 0 into 0 25.414 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 25.415 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 25.418 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 25.425 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 25.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 25.429 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 25.429 * [backup-simplify]: Simplify 0 into 0 25.436 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 25.437 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) 25.437 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 25.437 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 25.437 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.437 * [taylor]: Taking taylor expansion of 1.0 in k 25.437 * [backup-simplify]: Simplify 1.0 into 1.0 25.437 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 25.438 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 25.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 25.438 * [taylor]: Taking taylor expansion of (/ -1 k) in k 25.438 * [taylor]: Taking taylor expansion of -1 in k 25.438 * [backup-simplify]: Simplify -1 into -1 25.438 * [taylor]: Taking taylor expansion of k in k 25.438 * [backup-simplify]: Simplify 0 into 0 25.438 * [backup-simplify]: Simplify 1 into 1 25.439 * [backup-simplify]: Simplify (/ -1 1) into -1 25.439 * [backup-simplify]: Simplify (sqrt 0) into 0 25.441 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 25.441 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 25.442 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 25.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 25.445 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 25.448 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 25.450 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 25.450 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 25.450 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 25.450 * [taylor]: Taking taylor expansion of 1.0 in k 25.450 * [backup-simplify]: Simplify 1.0 into 1.0 25.450 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 25.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 25.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 25.451 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 25.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 25.451 * [taylor]: Taking taylor expansion of (/ -1 k) in k 25.451 * [taylor]: Taking taylor expansion of -1 in k 25.451 * [backup-simplify]: Simplify -1 into -1 25.451 * [taylor]: Taking taylor expansion of k in k 25.451 * [backup-simplify]: Simplify 0 into 0 25.451 * [backup-simplify]: Simplify 1 into 1 25.452 * [backup-simplify]: Simplify (/ -1 1) into -1 25.452 * [backup-simplify]: Simplify (sqrt 0) into 0 25.453 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 25.454 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 25.454 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 25.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 25.456 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 25.457 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 25.459 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 25.459 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 25.460 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 25.462 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 25.464 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 25.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 25.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 25.469 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 25.473 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 25.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 25.483 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 25.492 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 25.507 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- k))) (* (sqrt 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))))))))) 25.507 * * * [progress]: simplifying candidates 25.524 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ 1 1) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (+ 1 1) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k))))) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (exp (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1)) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1)) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt 1))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt 1))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) 1)) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) 1)) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt 1))) (/ (sqrt 1) (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) 1) (/ (sqrt 1) 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt 1))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt 1))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) 1)) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) 1)) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt 1))) (/ 1 (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt 1)) (/ 1 (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 1) (/ 1 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* 1 1) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt 1.0) (sqrt 1.0)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* 2 1) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt 1)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt 1))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 1)) (* (/ (sqrt 1.0) (sqrt (sqrt k))) 1) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0)) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0)) (* (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (* (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))))))))) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))))))))) 25.544 * * [simplify]: Extracting # 0 : cost 256 inf + 0 25.545 * * [simplify]: Extracting # 1 : cost 317 inf + 0 25.546 * * [simplify]: Extracting # 2 : cost 346 inf + 128 25.548 * * [simplify]: Extracting # 3 : cost 331 inf + 3512 25.558 * * [simplify]: Extracting # 4 : cost 263 inf + 21867 25.563 * * [simplify]: Extracting # 5 : cost 132 inf + 63729 25.571 * * [simplify]: Extracting # 6 : cost 69 inf + 91505 25.579 * * [simplify]: Extracting # 7 : cost 48 inf + 99164 25.588 * * [simplify]: Extracting # 8 : cost 30 inf + 106972 25.600 * * [simplify]: Extracting # 9 : cost 19 inf + 113160 25.618 * * [simplify]: Extracting # 10 : cost 12 inf + 118054 25.636 * * [simplify]: Extracting # 11 : cost 7 inf + 122650 25.654 * * [simplify]: Extracting # 12 : cost 3 inf + 127886 25.676 * * [simplify]: Extracting # 13 : cost 0 inf + 130881 25.696 * * [simplify]: iteration 0 : 418 enodes (cost 235461 ) 25.911 * * [simplify]: Extracting # 0 : cost 0 inf + 130881 25.935 * * [simplify]: Extracting # 1 : cost 332 inf + 120149 25.970 * * [simplify]: Extracting # 2 : cost 59 inf + 194847 26.010 * * [simplify]: Extracting # 3 : cost 18 inf + 198936 26.068 * * [simplify]: Extracting # 4 : cost 0 inf + 204353 26.117 * * [simplify]: Extracting # 5 : cost 0 inf + 203156 26.149 * * [simplify]: Extracting # 6 : cost 0 inf + 203025 26.188 * * [simplify]: iteration 1 : 1354 enodes (cost 216589 ) 26.694 * * [simplify]: Extracting # 0 : cost 0 inf + 203025 26.745 * * [simplify]: Extracting # 1 : cost 971 inf + 198682 26.838 * * [simplify]: Extracting # 2 : cost 117 inf + 435401 26.982 * * [simplify]: Extracting # 3 : cost 14 inf + 456446 27.087 * * [simplify]: Extracting # 4 : cost 0 inf + 462471 27.205 * * [simplify]: Extracting # 5 : cost 0 inf + 462431 27.313 * * [simplify]: iteration 2 : 3956 enodes (cost 208551 ) 28.415 * * [simplify]: Extracting # 0 : cost 0 inf + 462431 28.604 * * [simplify]: Extracting # 1 : cost 434 inf + 453844 28.764 * * [simplify]: Extracting # 2 : cost 5 inf + 546479 28.958 * * [simplify]: Extracting # 3 : cost 0 inf + 547529 29.110 * * [simplify]: iteration complete: 5000 enodes (cost 203591 ) 29.114 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log (* n (* 2.0 PI)))) (* (/ (- 1.0 k) 2.0) (log (* n (* 2.0 PI)))) (* (/ (- 1.0 k) 2.0) (log (* n (* 2.0 PI)))) (* (/ (- 1.0 k) 2.0) (log (* n (* 2.0 PI)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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 (* n (* 2.0 PI)) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (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 (* n (* 2.0 PI)) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* n (* 2.0 PI)) (* n (* 2.0 PI)) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* n (* 2.0 PI)))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* 2.0 PI)) (/ (/ (- 1.0 k) 2.0) 2)) 2 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (exp (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ 1.0 (/ (* (sqrt k) (sqrt (sqrt k))) (sqrt 1.0))) (/ 1.0 (/ (* (sqrt k) (sqrt (sqrt k))) (sqrt 1.0)))) (* (/ 1.0 (sqrt k)) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (/ 1.0 (sqrt k)) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (fabs (/ (sqrt 1.0) (sqrt (sqrt k)))) (fabs (/ (sqrt 1.0) (sqrt (sqrt k)))) 1.0 (sqrt k) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (* (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (fabs (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (fabs (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (/ (fabs (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (* (/ 1 (sqrt (fabs (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) 1 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) 1.0 (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 2 (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt k))))) (sqrt (sqrt k))) (/ (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (sqrt (fabs (cbrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0)))) (/ (* (/ (sqrt 1.0) (sqrt (sqrt k))) (fabs (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (fabs (cbrt (sqrt k))))) (/ (* (/ (sqrt 1.0) (sqrt (sqrt k))) (fabs (cbrt 1.0))) (sqrt (fabs (cbrt k)))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (fabs (cbrt 1.0))) (sqrt (sqrt k))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (fabs (cbrt 1.0))) (sqrt (sqrt k))) (* (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (fabs (cbrt 1.0))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k))))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt 1.0))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (/ (* (sqrt k) (sqrt (sqrt k))) (sqrt 1.0))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (fabs (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (/ (fabs (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (/ (* (sqrt k) (sqrt (sqrt k))) (sqrt 1.0))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (fabs (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (/ (fabs (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (+ (* (* 0.25 (log (* 2.0 PI))) (* (exp (* (log (* n (* 2.0 PI))) 0.5)) (* (* k k) (log n)))) (- (+ (* 0.125 (* (* (* (log n) (log n)) (* k k)) (exp (* (log (* n (* 2.0 PI))) 0.5)))) (+ (* (* (* (* (log (* 2.0 PI)) (log (* 2.0 PI))) (exp (* (log (* n (* 2.0 PI))) 0.5))) (* k k)) 0.125) (exp (* (log (* n (* 2.0 PI))) 0.5)))) (* 0.5 (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k)) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k)))))) (exp (* (* 0.5 (- 1.0 k)) (log (* n (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* (* +nan.0 1.0) (* k k))) (* +nan.0 (- 1.0 (* k 1.0)))) (+ (- (/ (* +nan.0 1.0) (* k k))) (* +nan.0 (- (/ 1.0 (* (* k k) k)) (/ 1.0 k)))) (- (- (* 1.0 +nan.0) (* +nan.0 (- (/ 1.0 (* k k)) (/ 1.0 k))))) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (+ (- (* (sqrt 1.0) (sqrt +nan.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* +nan.0 (* (* k k) (sqrt +nan.0)))) (/ (sqrt 1.0) (* (* k k) (sqrt +nan.0)))))) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (+ (- (* (sqrt 1.0) (sqrt +nan.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* +nan.0 (* (* k k) (sqrt +nan.0)))) (/ (sqrt 1.0) (* (* k k) (sqrt +nan.0)))))) 29.228 * * * [progress]: adding candidates to table 31.478 * [progress]: [Phase 3 of 3] Extracting. 31.478 * * [regime]: Finding splitpoints for: (# # # # # # # #) 31.480 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 31.480 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 31.579 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 31.691 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 31.802 * * * [regime]: Found split indices: #