54.281 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.173 * * * [progress]: [2/2] Setting up program. 0.176 * [progress]: [Phase 2 of 3] Improving. 0.176 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.177 * * [simplify]: Extracting # 0 : cost 0 0.177 * * [simplify]: Extracting # 1 : cost 0 0.177 * * [simplify]: Extracting # 2 : cost 0 0.177 * * [simplify]: Extracting # 3 : cost 0 0.177 * * [simplify]: Extracting # 4 : cost 0 0.177 * * [simplify]: Extracting # 5 : cost 0 0.177 * * [simplify]: Extracting # 6 : cost 0 0.177 * * [simplify]: Extracting # 7 : cost 0 0.177 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.183 * * [simplify]: Extracting # 0 : cost 0 0.183 * * [simplify]: Extracting # 1 : cost 0 0.183 * * [simplify]: Extracting # 2 : cost 0 0.183 * * [simplify]: Extracting # 3 : cost 0 0.183 * * [simplify]: Extracting # 4 : cost 0 0.183 * * [simplify]: Extracting # 5 : cost 0 0.184 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.196 * * [simplify]: Extracting # 0 : cost 0 0.196 * * [simplify]: Extracting # 1 : cost 0 0.196 * * [simplify]: Extracting # 2 : cost 0 0.196 * * [simplify]: Extracting # 3 : cost 0 0.196 * * [simplify]: Extracting # 4 : cost 0 0.196 * * [simplify]: iteration 2 : 59 enodes (cost 16 ) 0.222 * * [simplify]: Extracting # 0 : cost 0 0.222 * * [simplify]: Extracting # 1 : cost 0 0.222 * * [simplify]: Extracting # 2 : cost 0 0.222 * * [simplify]: Extracting # 3 : cost 0 0.223 * * [simplify]: Extracting # 4 : cost 0 0.223 * * [simplify]: iteration 3 : 119 enodes (cost 16 ) 0.311 * * [simplify]: Extracting # 0 : cost 0 0.312 * * [simplify]: Extracting # 1 : cost 0 0.312 * * [simplify]: Extracting # 2 : cost 0 0.313 * * [simplify]: Extracting # 3 : cost 0 0.313 * * [simplify]: Extracting # 4 : cost 0 0.314 * * [simplify]: iteration 4 : 313 enodes (cost 16 ) 0.569 * * [simplify]: Extracting # 0 : cost 0 0.571 * * [simplify]: Extracting # 1 : cost 0 0.578 * * [simplify]: Extracting # 2 : cost 0 0.580 * * [simplify]: Extracting # 3 : cost 0 0.582 * * [simplify]: Extracting # 4 : cost 0 0.583 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 2.161 * * [simplify]: Extracting # 0 : cost 0 2.167 * * [simplify]: Extracting # 1 : cost 0 2.173 * * [simplify]: Extracting # 2 : cost 0 2.178 * * [simplify]: Extracting # 3 : cost 0 2.184 * * [simplify]: Extracting # 4 : cost 0 2.189 * * [simplify]: iteration 6 : 3196 enodes (cost 16 ) 4.026 * * [simplify]: Extracting # 0 : cost 0 4.037 * * [simplify]: Extracting # 1 : cost 0 4.051 * * [simplify]: Extracting # 2 : cost 0 4.056 * * [simplify]: Extracting # 3 : cost 0 4.061 * * [simplify]: Extracting # 4 : cost 0 4.066 * * [simplify]: iteration done: 5001 enodes (cost 16 ) 4.066 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 4.066 * * [progress]: iteration 1 / 4 4.066 * * * [progress]: picking best candidate 4.069 * * * * [pick]: Picked # 4.069 * * * [progress]: localizing error 4.089 * * * [progress]: generating rewritten candidates 4.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.135 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.260 * * * [progress]: generating series expansions 4.261 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.262 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 4.262 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.262 * [taylor]: Taking taylor expansion of 0.5 in k 4.262 * [backup-simplify]: Simplify 0.5 into 0.5 4.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.262 * [taylor]: Taking taylor expansion of 1.0 in k 4.262 * [backup-simplify]: Simplify 1.0 into 1.0 4.262 * [taylor]: Taking taylor expansion of k in k 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.262 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.262 * [taylor]: Taking taylor expansion of 2.0 in k 4.262 * [backup-simplify]: Simplify 2.0 into 2.0 4.262 * [taylor]: Taking taylor expansion of (* n PI) in k 4.262 * [taylor]: Taking taylor expansion of n in k 4.262 * [backup-simplify]: Simplify n into n 4.262 * [taylor]: Taking taylor expansion of PI in k 4.262 * [backup-simplify]: Simplify PI into PI 4.263 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.263 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.263 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.263 * [backup-simplify]: Simplify (- 0) into 0 4.264 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.264 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.264 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.264 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.265 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.265 * [taylor]: Taking taylor expansion of 0.5 in n 4.265 * [backup-simplify]: Simplify 0.5 into 0.5 4.265 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.265 * [taylor]: Taking taylor expansion of 1.0 in n 4.265 * [backup-simplify]: Simplify 1.0 into 1.0 4.265 * [taylor]: Taking taylor expansion of k in n 4.265 * [backup-simplify]: Simplify k into k 4.265 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.265 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.265 * [taylor]: Taking taylor expansion of 2.0 in n 4.265 * [backup-simplify]: Simplify 2.0 into 2.0 4.265 * [taylor]: Taking taylor expansion of (* n PI) in n 4.265 * [taylor]: Taking taylor expansion of n in n 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [taylor]: Taking taylor expansion of PI in n 4.265 * [backup-simplify]: Simplify PI into PI 4.266 * [backup-simplify]: Simplify (* 0 PI) into 0 4.266 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.269 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.270 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.270 * [backup-simplify]: Simplify (- k) into (- k) 4.270 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.270 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.273 * [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)))) 4.274 * [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))))) 4.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.274 * [taylor]: Taking taylor expansion of 0.5 in n 4.274 * [backup-simplify]: Simplify 0.5 into 0.5 4.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.274 * [taylor]: Taking taylor expansion of 1.0 in n 4.274 * [backup-simplify]: Simplify 1.0 into 1.0 4.275 * [taylor]: Taking taylor expansion of k in n 4.275 * [backup-simplify]: Simplify k into k 4.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.275 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.275 * [taylor]: Taking taylor expansion of 2.0 in n 4.275 * [backup-simplify]: Simplify 2.0 into 2.0 4.275 * [taylor]: Taking taylor expansion of (* n PI) in n 4.275 * [taylor]: Taking taylor expansion of n in n 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [taylor]: Taking taylor expansion of PI in n 4.275 * [backup-simplify]: Simplify PI into PI 4.275 * [backup-simplify]: Simplify (* 0 PI) into 0 4.276 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.277 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.279 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.280 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.280 * [backup-simplify]: Simplify (- k) into (- k) 4.280 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.280 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.283 * [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)))) 4.284 * [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))))) 4.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.285 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.285 * [taylor]: Taking taylor expansion of 0.5 in k 4.285 * [backup-simplify]: Simplify 0.5 into 0.5 4.285 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.285 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.285 * [taylor]: Taking taylor expansion of 1.0 in k 4.285 * [backup-simplify]: Simplify 1.0 into 1.0 4.285 * [taylor]: Taking taylor expansion of k in k 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 1 into 1 4.285 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.285 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.285 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.285 * [taylor]: Taking taylor expansion of 2.0 in k 4.285 * [backup-simplify]: Simplify 2.0 into 2.0 4.285 * [taylor]: Taking taylor expansion of PI in k 4.285 * [backup-simplify]: Simplify PI into PI 4.286 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.287 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.287 * [taylor]: Taking taylor expansion of (log n) in k 4.287 * [taylor]: Taking taylor expansion of n in k 4.287 * [backup-simplify]: Simplify n into n 4.287 * [backup-simplify]: Simplify (log n) into (log n) 4.287 * [backup-simplify]: Simplify (- 0) into 0 4.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.289 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 4.290 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 4.291 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 4.292 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.293 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 4.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.300 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.302 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 4.304 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.304 * [taylor]: Taking taylor expansion of 0 in k 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (- 1) into -1 4.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 4.312 * [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)))) 4.316 * [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)))))) 4.319 * [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)))))) 4.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.321 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.325 * [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 4.325 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.328 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.330 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.332 * [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 4.332 * [taylor]: Taking taylor expansion of 0 in k 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.337 * [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 4.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.342 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 4.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 4.349 * [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 (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.355 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 4.365 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 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 (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 4.366 * [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)))) 4.366 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.367 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.367 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.367 * [taylor]: Taking taylor expansion of 0.5 in k 4.367 * [backup-simplify]: Simplify 0.5 into 0.5 4.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.367 * [taylor]: Taking taylor expansion of 1.0 in k 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.367 * [taylor]: Taking taylor expansion of k in k 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.367 * [taylor]: Taking taylor expansion of 2.0 in k 4.367 * [backup-simplify]: Simplify 2.0 into 2.0 4.367 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.367 * [taylor]: Taking taylor expansion of PI in k 4.368 * [backup-simplify]: Simplify PI into PI 4.368 * [taylor]: Taking taylor expansion of n in k 4.368 * [backup-simplify]: Simplify n into n 4.368 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.368 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.368 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.368 * [backup-simplify]: Simplify (- 1) into -1 4.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.369 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.369 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.370 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.370 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.370 * [taylor]: Taking taylor expansion of 0.5 in n 4.370 * [backup-simplify]: Simplify 0.5 into 0.5 4.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.370 * [taylor]: Taking taylor expansion of 1.0 in n 4.370 * [backup-simplify]: Simplify 1.0 into 1.0 4.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.370 * [taylor]: Taking taylor expansion of k in n 4.370 * [backup-simplify]: Simplify k into k 4.370 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.370 * [taylor]: Taking taylor expansion of 2.0 in n 4.370 * [backup-simplify]: Simplify 2.0 into 2.0 4.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.370 * [taylor]: Taking taylor expansion of PI in n 4.370 * [backup-simplify]: Simplify PI into PI 4.370 * [taylor]: Taking taylor expansion of n in n 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (/ PI 1) into PI 4.371 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.372 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.372 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.373 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.373 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.375 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.377 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.377 * [taylor]: Taking taylor expansion of 0.5 in n 4.377 * [backup-simplify]: Simplify 0.5 into 0.5 4.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.377 * [taylor]: Taking taylor expansion of 1.0 in n 4.377 * [backup-simplify]: Simplify 1.0 into 1.0 4.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.377 * [taylor]: Taking taylor expansion of k in n 4.377 * [backup-simplify]: Simplify k into k 4.377 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.377 * [taylor]: Taking taylor expansion of 2.0 in n 4.377 * [backup-simplify]: Simplify 2.0 into 2.0 4.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.377 * [taylor]: Taking taylor expansion of PI in n 4.377 * [backup-simplify]: Simplify PI into PI 4.377 * [taylor]: Taking taylor expansion of n in n 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (/ PI 1) into PI 4.378 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.380 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.380 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.380 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.380 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.381 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.382 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.384 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.384 * [taylor]: Taking taylor expansion of 0.5 in k 4.384 * [backup-simplify]: Simplify 0.5 into 0.5 4.384 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.384 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.384 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.384 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.384 * [taylor]: Taking taylor expansion of 2.0 in k 4.384 * [backup-simplify]: Simplify 2.0 into 2.0 4.384 * [taylor]: Taking taylor expansion of PI in k 4.384 * [backup-simplify]: Simplify PI into PI 4.385 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.386 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.386 * [taylor]: Taking taylor expansion of (log n) in k 4.386 * [taylor]: Taking taylor expansion of n in k 4.386 * [backup-simplify]: Simplify n into n 4.386 * [backup-simplify]: Simplify (log n) into (log n) 4.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.386 * [taylor]: Taking taylor expansion of 1.0 in k 4.386 * [backup-simplify]: Simplify 1.0 into 1.0 4.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.386 * [taylor]: Taking taylor expansion of k in k 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 1 into 1 4.387 * [backup-simplify]: Simplify (/ 1 1) into 1 4.387 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.388 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 4.388 * [backup-simplify]: Simplify (- 1) into -1 4.389 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.390 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 4.391 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 4.392 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.394 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.406 * [backup-simplify]: Simplify (- 0) into 0 4.406 * [backup-simplify]: Simplify (+ 0 0) into 0 4.407 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.410 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.412 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.412 * [taylor]: Taking taylor expansion of 0 in k 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.418 * [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 4.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.418 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.420 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.423 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 4.425 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.425 * [taylor]: Taking taylor expansion of 0 in k 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.428 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.434 * [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 4.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.435 * [backup-simplify]: Simplify (- 0) into 0 4.435 * [backup-simplify]: Simplify (+ 0 0) into 0 4.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.440 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 4.443 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.443 * [taylor]: Taking taylor expansion of 0 in k 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 4.446 * [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))) 4.446 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.446 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.446 * [taylor]: Taking taylor expansion of 0.5 in k 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.446 * [taylor]: Taking taylor expansion of k in k 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (/ 1 1) into 1 4.446 * [taylor]: Taking taylor expansion of 1.0 in k 4.446 * [backup-simplify]: Simplify 1.0 into 1.0 4.446 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.447 * [taylor]: Taking taylor expansion of -2.0 in k 4.447 * [backup-simplify]: Simplify -2.0 into -2.0 4.447 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.447 * [taylor]: Taking taylor expansion of PI in k 4.447 * [backup-simplify]: Simplify PI into PI 4.447 * [taylor]: Taking taylor expansion of n in k 4.447 * [backup-simplify]: Simplify n into n 4.447 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.447 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.447 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.447 * [backup-simplify]: Simplify (+ 1 0) into 1 4.448 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.448 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.448 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 4.448 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.449 * [taylor]: Taking taylor expansion of 0.5 in n 4.449 * [backup-simplify]: Simplify 0.5 into 0.5 4.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.449 * [taylor]: Taking taylor expansion of k in n 4.449 * [backup-simplify]: Simplify k into k 4.449 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.449 * [taylor]: Taking taylor expansion of 1.0 in n 4.449 * [backup-simplify]: Simplify 1.0 into 1.0 4.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.449 * [taylor]: Taking taylor expansion of -2.0 in n 4.449 * [backup-simplify]: Simplify -2.0 into -2.0 4.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.449 * [taylor]: Taking taylor expansion of PI in n 4.449 * [backup-simplify]: Simplify PI into PI 4.449 * [taylor]: Taking taylor expansion of n in n 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.450 * [backup-simplify]: Simplify (/ PI 1) into PI 4.450 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.451 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.451 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.451 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.453 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.454 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.455 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.455 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.456 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.456 * [taylor]: Taking taylor expansion of 0.5 in n 4.456 * [backup-simplify]: Simplify 0.5 into 0.5 4.456 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.456 * [taylor]: Taking taylor expansion of k in n 4.456 * [backup-simplify]: Simplify k into k 4.456 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.456 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.456 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.456 * [taylor]: Taking taylor expansion of -2.0 in n 4.456 * [backup-simplify]: Simplify -2.0 into -2.0 4.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.456 * [taylor]: Taking taylor expansion of PI in n 4.456 * [backup-simplify]: Simplify PI into PI 4.456 * [taylor]: Taking taylor expansion of n in n 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (/ PI 1) into PI 4.457 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.458 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.458 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.459 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.461 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 4.463 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.463 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.463 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.463 * [taylor]: Taking taylor expansion of 0.5 in k 4.463 * [backup-simplify]: Simplify 0.5 into 0.5 4.463 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.463 * [taylor]: Taking taylor expansion of k in k 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify 1 into 1 4.463 * [backup-simplify]: Simplify (/ 1 1) into 1 4.463 * [taylor]: Taking taylor expansion of 1.0 in k 4.463 * [backup-simplify]: Simplify 1.0 into 1.0 4.464 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.464 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.464 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.464 * [taylor]: Taking taylor expansion of -2.0 in k 4.464 * [backup-simplify]: Simplify -2.0 into -2.0 4.464 * [taylor]: Taking taylor expansion of PI in k 4.464 * [backup-simplify]: Simplify PI into PI 4.464 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.465 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.465 * [taylor]: Taking taylor expansion of (log n) in k 4.465 * [taylor]: Taking taylor expansion of n in k 4.465 * [backup-simplify]: Simplify n into n 4.465 * [backup-simplify]: Simplify (log n) into (log n) 4.466 * [backup-simplify]: Simplify (+ 1 0) into 1 4.466 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.467 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 4.468 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 4.470 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 4.471 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.472 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.477 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.479 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.480 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 4.482 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.482 * [taylor]: Taking taylor expansion of 0 in k 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.488 * [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 4.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.489 * [backup-simplify]: Simplify (+ 0 0) into 0 4.490 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.493 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 4.496 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.496 * [taylor]: Taking taylor expansion of 0 in k 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.499 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.505 * [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 4.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.506 * [backup-simplify]: Simplify (+ 0 0) into 0 4.508 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.512 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 4.515 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.515 * [taylor]: Taking taylor expansion of 0 in k 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.517 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.517 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.517 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.517 * [taylor]: Taking taylor expansion of 2.0 in n 4.518 * [backup-simplify]: Simplify 2.0 into 2.0 4.518 * [taylor]: Taking taylor expansion of (* n PI) in n 4.518 * [taylor]: Taking taylor expansion of n in n 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [taylor]: Taking taylor expansion of PI in n 4.518 * [backup-simplify]: Simplify PI into PI 4.518 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.518 * [taylor]: Taking taylor expansion of 2.0 in n 4.518 * [backup-simplify]: Simplify 2.0 into 2.0 4.518 * [taylor]: Taking taylor expansion of (* n PI) in n 4.518 * [taylor]: Taking taylor expansion of n in n 4.518 * [backup-simplify]: Simplify 0 into 0 4.518 * [backup-simplify]: Simplify 1 into 1 4.518 * [taylor]: Taking taylor expansion of PI in n 4.518 * [backup-simplify]: Simplify PI into PI 4.519 * [backup-simplify]: Simplify (* 0 PI) into 0 4.519 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.519 * [backup-simplify]: Simplify 0 into 0 4.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.522 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.523 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.525 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 4.525 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.528 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.528 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.531 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.534 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 4.538 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 4.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 4.543 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 4.543 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.543 * [taylor]: Taking taylor expansion of 2.0 in n 4.543 * [backup-simplify]: Simplify 2.0 into 2.0 4.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.543 * [taylor]: Taking taylor expansion of PI in n 4.543 * [backup-simplify]: Simplify PI into PI 4.543 * [taylor]: Taking taylor expansion of n in n 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (/ PI 1) into PI 4.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.544 * [taylor]: Taking taylor expansion of 2.0 in n 4.544 * [backup-simplify]: Simplify 2.0 into 2.0 4.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.544 * [taylor]: Taking taylor expansion of PI in n 4.544 * [backup-simplify]: Simplify PI into PI 4.544 * [taylor]: Taking taylor expansion of n in n 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify 1 into 1 4.544 * [backup-simplify]: Simplify (/ PI 1) into PI 4.545 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.545 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.547 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.547 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.551 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.554 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.554 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.557 * [backup-simplify]: Simplify 0 into 0 4.558 * [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 4.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 4.561 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 4.561 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.561 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.561 * [taylor]: Taking taylor expansion of -2.0 in n 4.561 * [backup-simplify]: Simplify -2.0 into -2.0 4.561 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.561 * [taylor]: Taking taylor expansion of PI in n 4.561 * [backup-simplify]: Simplify PI into PI 4.561 * [taylor]: Taking taylor expansion of n in n 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (/ PI 1) into PI 4.562 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.562 * [taylor]: Taking taylor expansion of -2.0 in n 4.562 * [backup-simplify]: Simplify -2.0 into -2.0 4.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.562 * [taylor]: Taking taylor expansion of PI in n 4.562 * [backup-simplify]: Simplify PI into PI 4.562 * [taylor]: Taking taylor expansion of n in n 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [backup-simplify]: Simplify (/ PI 1) into PI 4.563 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.569 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.571 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 4.573 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.575 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.578 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.578 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.580 * [backup-simplify]: Simplify 0 into 0 4.581 * [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 4.582 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.582 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 4.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.583 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 4.583 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.583 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.583 * [taylor]: Taking taylor expansion of 1.0 in k 4.583 * [backup-simplify]: Simplify 1.0 into 1.0 4.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.583 * [taylor]: Taking taylor expansion of k in k 4.583 * [backup-simplify]: Simplify 0 into 0 4.583 * [backup-simplify]: Simplify 1 into 1 4.583 * [backup-simplify]: Simplify (/ 1 1) into 1 4.584 * [backup-simplify]: Simplify (sqrt 0) into 0 4.585 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.585 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.585 * [taylor]: Taking taylor expansion of 1.0 in k 4.585 * [backup-simplify]: Simplify 1.0 into 1.0 4.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.585 * [taylor]: Taking taylor expansion of k in k 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 1 into 1 4.585 * [backup-simplify]: Simplify (/ 1 1) into 1 4.586 * [backup-simplify]: Simplify (sqrt 0) into 0 4.586 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.587 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.587 * [backup-simplify]: Simplify 0 into 0 4.588 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.588 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.590 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.592 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.592 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.596 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.596 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.597 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 4.597 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 4.597 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.597 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.597 * [taylor]: Taking taylor expansion of 1.0 in k 4.597 * [backup-simplify]: Simplify 1.0 into 1.0 4.597 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.597 * [taylor]: Taking taylor expansion of k in k 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (sqrt 0) into 0 4.598 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.598 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.598 * [taylor]: Taking taylor expansion of 1.0 in k 4.598 * [backup-simplify]: Simplify 1.0 into 1.0 4.598 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.598 * [taylor]: Taking taylor expansion of k in k 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.599 * [backup-simplify]: Simplify (sqrt 0) into 0 4.599 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.600 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.600 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 4.601 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.603 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.604 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.604 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.607 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.608 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.609 * [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)))))))) 4.609 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 4.609 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.609 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.609 * [taylor]: Taking taylor expansion of 1.0 in k 4.609 * [backup-simplify]: Simplify 1.0 into 1.0 4.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.609 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.609 * [taylor]: Taking taylor expansion of -1 in k 4.609 * [backup-simplify]: Simplify -1 into -1 4.609 * [taylor]: Taking taylor expansion of k in k 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify (/ -1 1) into -1 4.610 * [backup-simplify]: Simplify (sqrt 0) into 0 4.610 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.611 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.611 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.611 * [taylor]: Taking taylor expansion of 1.0 in k 4.611 * [backup-simplify]: Simplify 1.0 into 1.0 4.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.611 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.611 * [taylor]: Taking taylor expansion of -1 in k 4.611 * [backup-simplify]: Simplify -1 into -1 4.611 * [taylor]: Taking taylor expansion of k in k 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 1 into 1 4.611 * [backup-simplify]: Simplify (/ -1 1) into -1 4.611 * [backup-simplify]: Simplify (sqrt 0) into 0 4.612 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.612 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 4.612 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.616 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.617 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.623 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.624 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.625 * [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))))) 4.625 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.626 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 4.626 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.626 * [taylor]: Taking taylor expansion of 1.0 in n 4.626 * [backup-simplify]: Simplify 1.0 into 1.0 4.626 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.626 * [taylor]: Taking taylor expansion of k in n 4.626 * [backup-simplify]: Simplify k into k 4.626 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.627 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 4.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 4.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.627 * [taylor]: Taking taylor expansion of 0.5 in n 4.627 * [backup-simplify]: Simplify 0.5 into 0.5 4.627 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.627 * [taylor]: Taking taylor expansion of 1.0 in n 4.627 * [backup-simplify]: Simplify 1.0 into 1.0 4.627 * [taylor]: Taking taylor expansion of k in n 4.627 * [backup-simplify]: Simplify k into k 4.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.627 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.627 * [taylor]: Taking taylor expansion of 2.0 in n 4.627 * [backup-simplify]: Simplify 2.0 into 2.0 4.627 * [taylor]: Taking taylor expansion of (* n PI) in n 4.627 * [taylor]: Taking taylor expansion of n in n 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.627 * [taylor]: Taking taylor expansion of PI in n 4.628 * [backup-simplify]: Simplify PI into PI 4.628 * [backup-simplify]: Simplify (* 0 PI) into 0 4.628 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.631 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.632 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.633 * [backup-simplify]: Simplify (- k) into (- k) 4.633 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.633 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.634 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.635 * [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)))) 4.637 * [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))))) 4.637 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.637 * [taylor]: Taking taylor expansion of 1.0 in k 4.637 * [backup-simplify]: Simplify 1.0 into 1.0 4.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.637 * [taylor]: Taking taylor expansion of k in k 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [backup-simplify]: Simplify (sqrt 0) into 0 4.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.639 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.639 * [taylor]: Taking taylor expansion of 0.5 in k 4.639 * [backup-simplify]: Simplify 0.5 into 0.5 4.639 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.639 * [taylor]: Taking taylor expansion of 1.0 in k 4.639 * [backup-simplify]: Simplify 1.0 into 1.0 4.639 * [taylor]: Taking taylor expansion of k in k 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify 1 into 1 4.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.639 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.640 * [taylor]: Taking taylor expansion of 2.0 in k 4.640 * [backup-simplify]: Simplify 2.0 into 2.0 4.640 * [taylor]: Taking taylor expansion of (* n PI) in k 4.640 * [taylor]: Taking taylor expansion of n in k 4.640 * [backup-simplify]: Simplify n into n 4.640 * [taylor]: Taking taylor expansion of PI in k 4.640 * [backup-simplify]: Simplify PI into PI 4.640 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.640 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.640 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.640 * [backup-simplify]: Simplify (- 0) into 0 4.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.641 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.641 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.641 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.642 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.642 * [taylor]: Taking taylor expansion of 1.0 in k 4.642 * [backup-simplify]: Simplify 1.0 into 1.0 4.642 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.642 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.642 * [taylor]: Taking taylor expansion of k in k 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 1 into 1 4.642 * [backup-simplify]: Simplify (/ 1 1) into 1 4.643 * [backup-simplify]: Simplify (sqrt 0) into 0 4.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.644 * [taylor]: Taking taylor expansion of 0.5 in k 4.644 * [backup-simplify]: Simplify 0.5 into 0.5 4.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.644 * [taylor]: Taking taylor expansion of 1.0 in k 4.644 * [backup-simplify]: Simplify 1.0 into 1.0 4.644 * [taylor]: Taking taylor expansion of k in k 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.644 * [taylor]: Taking taylor expansion of 2.0 in k 4.644 * [backup-simplify]: Simplify 2.0 into 2.0 4.644 * [taylor]: Taking taylor expansion of (* n PI) in k 4.644 * [taylor]: Taking taylor expansion of n in k 4.645 * [backup-simplify]: Simplify n into n 4.645 * [taylor]: Taking taylor expansion of PI in k 4.645 * [backup-simplify]: Simplify PI into PI 4.645 * [backup-simplify]: Simplify (* n PI) into (* n PI) 4.645 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 4.645 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 4.645 * [backup-simplify]: Simplify (- 0) into 0 4.646 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.646 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.646 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 4.646 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 4.646 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 4.647 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.647 * [taylor]: Taking taylor expansion of 0 in n 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 4.647 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 4.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 4.648 * [backup-simplify]: Simplify (- 1) into -1 4.648 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.649 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.650 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 4.650 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.651 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 4.653 * [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))) 4.653 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.653 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.653 * [taylor]: Taking taylor expansion of +nan.0 in n 4.653 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.653 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.653 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.653 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.653 * [taylor]: Taking taylor expansion of 0.5 in n 4.653 * [backup-simplify]: Simplify 0.5 into 0.5 4.653 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.653 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.653 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.653 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.653 * [taylor]: Taking taylor expansion of 1.0 in n 4.653 * [backup-simplify]: Simplify 1.0 into 1.0 4.653 * [taylor]: Taking taylor expansion of (log PI) in n 4.653 * [taylor]: Taking taylor expansion of PI in n 4.653 * [backup-simplify]: Simplify PI into PI 4.654 * [backup-simplify]: Simplify (log PI) into (log PI) 4.654 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.655 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.655 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.655 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.655 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.655 * [taylor]: Taking taylor expansion of 1.0 in n 4.656 * [backup-simplify]: Simplify 1.0 into 1.0 4.656 * [taylor]: Taking taylor expansion of (log n) in n 4.656 * [taylor]: Taking taylor expansion of n in n 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify 1 into 1 4.656 * [backup-simplify]: Simplify (log 1) into 0 4.656 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.656 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.656 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.656 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.656 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.656 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.656 * [taylor]: Taking taylor expansion of 1.0 in n 4.656 * [backup-simplify]: Simplify 1.0 into 1.0 4.656 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.656 * [taylor]: Taking taylor expansion of 2.0 in n 4.656 * [backup-simplify]: Simplify 2.0 into 2.0 4.657 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.657 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.658 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.658 * [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) 4.659 * [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) 4.660 * [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)) 4.661 * [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))) 4.662 * [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) 4.663 * [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)) 4.664 * [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))) 4.665 * [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))) 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 4.667 * [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 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.667 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 4.669 * [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 (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.674 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.683 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 4.683 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.683 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.683 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.683 * [taylor]: Taking taylor expansion of +nan.0 in n 4.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.683 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.683 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.683 * [taylor]: Taking taylor expansion of 0.5 in n 4.683 * [backup-simplify]: Simplify 0.5 into 0.5 4.683 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.683 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.683 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.683 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.683 * [taylor]: Taking taylor expansion of 1.0 in n 4.683 * [backup-simplify]: Simplify 1.0 into 1.0 4.684 * [taylor]: Taking taylor expansion of (log PI) in n 4.684 * [taylor]: Taking taylor expansion of PI in n 4.684 * [backup-simplify]: Simplify PI into PI 4.684 * [backup-simplify]: Simplify (log PI) into (log PI) 4.685 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.687 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.687 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.687 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.687 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.687 * [taylor]: Taking taylor expansion of 1.0 in n 4.687 * [backup-simplify]: Simplify 1.0 into 1.0 4.687 * [taylor]: Taking taylor expansion of (log n) in n 4.687 * [taylor]: Taking taylor expansion of n in n 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (log 1) into 0 4.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.688 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.688 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.688 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.688 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.688 * [taylor]: Taking taylor expansion of 1.0 in n 4.688 * [backup-simplify]: Simplify 1.0 into 1.0 4.688 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.689 * [taylor]: Taking taylor expansion of 2.0 in n 4.689 * [backup-simplify]: Simplify 2.0 into 2.0 4.689 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.690 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.691 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.692 * [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) 4.693 * [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) 4.695 * [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)) 4.696 * [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))) 4.698 * [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) 4.698 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.698 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.698 * [taylor]: Taking taylor expansion of +nan.0 in n 4.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.698 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.698 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.698 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.698 * [taylor]: Taking taylor expansion of 0.5 in n 4.698 * [backup-simplify]: Simplify 0.5 into 0.5 4.698 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.698 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.698 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.698 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.698 * [taylor]: Taking taylor expansion of 1.0 in n 4.698 * [backup-simplify]: Simplify 1.0 into 1.0 4.698 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.698 * [taylor]: Taking taylor expansion of 2.0 in n 4.698 * [backup-simplify]: Simplify 2.0 into 2.0 4.699 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.700 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.701 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.701 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.702 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.702 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.702 * [taylor]: Taking taylor expansion of 1.0 in n 4.702 * [backup-simplify]: Simplify 1.0 into 1.0 4.702 * [taylor]: Taking taylor expansion of (log PI) in n 4.702 * [taylor]: Taking taylor expansion of PI in n 4.702 * [backup-simplify]: Simplify PI into PI 4.702 * [backup-simplify]: Simplify (log PI) into (log PI) 4.703 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.705 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.705 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.705 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.705 * [taylor]: Taking taylor expansion of 1.0 in n 4.705 * [backup-simplify]: Simplify 1.0 into 1.0 4.705 * [taylor]: Taking taylor expansion of (log n) in n 4.705 * [taylor]: Taking taylor expansion of n in n 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (log 1) into 0 4.706 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.706 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.706 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.707 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.708 * [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) 4.710 * [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)) 4.711 * [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))) 4.713 * [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) 4.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.713 * [taylor]: Taking taylor expansion of 2.0 in n 4.713 * [backup-simplify]: Simplify 2.0 into 2.0 4.713 * [taylor]: Taking taylor expansion of (* n PI) in n 4.713 * [taylor]: Taking taylor expansion of n in n 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [taylor]: Taking taylor expansion of PI in n 4.713 * [backup-simplify]: Simplify PI into PI 4.713 * [backup-simplify]: Simplify (* 0 PI) into 0 4.714 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.715 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.716 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.716 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.717 * [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)) 4.718 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.720 * [backup-simplify]: Simplify (* (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) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.721 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.723 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 4.727 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (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)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.731 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (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)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.735 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.736 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 4.737 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 4.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.739 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 4.739 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 4.740 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 4.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.741 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 4.742 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 4.743 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 4.744 * [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 4.745 * [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 4.747 * [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 4.748 * [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 4.748 * [backup-simplify]: Simplify (- 0) into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.749 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 4.751 * [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 4.752 * [backup-simplify]: Simplify (- 0) into 0 4.752 * [backup-simplify]: Simplify (+ 0 0) into 0 4.752 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 4.754 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 4.756 * [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 (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.767 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.778 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 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 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 4.778 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.778 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.778 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.778 * [taylor]: Taking taylor expansion of +nan.0 in n 4.778 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.778 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.778 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.779 * [taylor]: Taking taylor expansion of 0.5 in n 4.779 * [backup-simplify]: Simplify 0.5 into 0.5 4.779 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.779 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.779 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.779 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.779 * [taylor]: Taking taylor expansion of 1.0 in n 4.779 * [backup-simplify]: Simplify 1.0 into 1.0 4.779 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.779 * [taylor]: Taking taylor expansion of 2.0 in n 4.779 * [backup-simplify]: Simplify 2.0 into 2.0 4.779 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.780 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.782 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.782 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.782 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.782 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.782 * [taylor]: Taking taylor expansion of 1.0 in n 4.782 * [backup-simplify]: Simplify 1.0 into 1.0 4.782 * [taylor]: Taking taylor expansion of (log n) in n 4.782 * [taylor]: Taking taylor expansion of n in n 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 1 into 1 4.782 * [backup-simplify]: Simplify (log 1) into 0 4.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.783 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.783 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.783 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.783 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.783 * [taylor]: Taking taylor expansion of 1.0 in n 4.783 * [backup-simplify]: Simplify 1.0 into 1.0 4.783 * [taylor]: Taking taylor expansion of (log PI) in n 4.783 * [taylor]: Taking taylor expansion of PI in n 4.783 * [backup-simplify]: Simplify PI into PI 4.784 * [backup-simplify]: Simplify (log PI) into (log PI) 4.785 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.787 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.788 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.789 * [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) 4.790 * [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)) 4.792 * [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))) 4.793 * [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) 4.793 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.793 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.793 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.793 * [taylor]: Taking taylor expansion of +nan.0 in n 4.793 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.794 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.794 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.794 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.794 * [taylor]: Taking taylor expansion of 0.5 in n 4.794 * [backup-simplify]: Simplify 0.5 into 0.5 4.794 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.794 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.794 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.794 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.794 * [taylor]: Taking taylor expansion of 1.0 in n 4.794 * [backup-simplify]: Simplify 1.0 into 1.0 4.794 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.794 * [taylor]: Taking taylor expansion of 2.0 in n 4.794 * [backup-simplify]: Simplify 2.0 into 2.0 4.794 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.795 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.797 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.797 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.797 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.797 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.797 * [taylor]: Taking taylor expansion of 1.0 in n 4.797 * [backup-simplify]: Simplify 1.0 into 1.0 4.797 * [taylor]: Taking taylor expansion of (log PI) in n 4.797 * [taylor]: Taking taylor expansion of PI in n 4.797 * [backup-simplify]: Simplify PI into PI 4.798 * [backup-simplify]: Simplify (log PI) into (log PI) 4.799 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.801 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.801 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.801 * [taylor]: Taking taylor expansion of 1.0 in n 4.801 * [backup-simplify]: Simplify 1.0 into 1.0 4.801 * [taylor]: Taking taylor expansion of (log n) in n 4.801 * [taylor]: Taking taylor expansion of n in n 4.801 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify 1 into 1 4.801 * [backup-simplify]: Simplify (log 1) into 0 4.802 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.802 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.802 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.803 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.804 * [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) 4.806 * [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)) 4.807 * [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))) 4.815 * [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) 4.815 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.815 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.815 * [taylor]: Taking taylor expansion of 2.0 in n 4.815 * [backup-simplify]: Simplify 2.0 into 2.0 4.816 * [taylor]: Taking taylor expansion of (* n PI) in n 4.816 * [taylor]: Taking taylor expansion of n in n 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.816 * [taylor]: Taking taylor expansion of PI in n 4.816 * [backup-simplify]: Simplify PI into PI 4.816 * [backup-simplify]: Simplify (* 0 PI) into 0 4.817 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.819 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.820 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.821 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.822 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 4.822 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.822 * [taylor]: Taking taylor expansion of +nan.0 in n 4.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.822 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.822 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.822 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.822 * [taylor]: Taking taylor expansion of 0.5 in n 4.822 * [backup-simplify]: Simplify 0.5 into 0.5 4.822 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.822 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.822 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.822 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.822 * [taylor]: Taking taylor expansion of 1.0 in n 4.822 * [backup-simplify]: Simplify 1.0 into 1.0 4.822 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.822 * [taylor]: Taking taylor expansion of 2.0 in n 4.822 * [backup-simplify]: Simplify 2.0 into 2.0 4.823 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.824 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 4.825 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 4.825 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.825 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.825 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.825 * [taylor]: Taking taylor expansion of 1.0 in n 4.825 * [backup-simplify]: Simplify 1.0 into 1.0 4.825 * [taylor]: Taking taylor expansion of (log PI) in n 4.826 * [taylor]: Taking taylor expansion of PI in n 4.826 * [backup-simplify]: Simplify PI into PI 4.826 * [backup-simplify]: Simplify (log PI) into (log PI) 4.827 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 4.829 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 4.829 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.829 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.829 * [taylor]: Taking taylor expansion of 1.0 in n 4.829 * [backup-simplify]: Simplify 1.0 into 1.0 4.829 * [taylor]: Taking taylor expansion of (log n) in n 4.829 * [taylor]: Taking taylor expansion of n in n 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (log 1) into 0 4.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.830 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.830 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 4.831 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 4.832 * [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) 4.833 * [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)) 4.834 * [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))) 4.836 * [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) 4.836 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.836 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.836 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.836 * [taylor]: Taking taylor expansion of 2.0 in n 4.836 * [backup-simplify]: Simplify 2.0 into 2.0 4.836 * [taylor]: Taking taylor expansion of (* n PI) in n 4.836 * [taylor]: Taking taylor expansion of n in n 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 1 into 1 4.836 * [taylor]: Taking taylor expansion of PI in n 4.836 * [backup-simplify]: Simplify PI into PI 4.836 * [backup-simplify]: Simplify (* 0 PI) into 0 4.837 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.838 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.839 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 4.840 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.841 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.842 * [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)) 4.843 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.844 * [backup-simplify]: Simplify (* (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) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.846 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.846 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 4.849 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 4.850 * [backup-simplify]: Simplify (* (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) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 4.852 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 4.854 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 4.860 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 4.869 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 4.880 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.890 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.901 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 4.932 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 4.932 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 4.932 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.932 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.932 * [taylor]: Taking taylor expansion of 1.0 in n 4.932 * [backup-simplify]: Simplify 1.0 into 1.0 4.933 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.933 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.933 * [taylor]: Taking taylor expansion of k in n 4.933 * [backup-simplify]: Simplify k into k 4.933 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 4.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 4.933 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.933 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.933 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.933 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.933 * [taylor]: Taking taylor expansion of 0.5 in n 4.933 * [backup-simplify]: Simplify 0.5 into 0.5 4.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.933 * [taylor]: Taking taylor expansion of 1.0 in n 4.933 * [backup-simplify]: Simplify 1.0 into 1.0 4.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.933 * [taylor]: Taking taylor expansion of k in n 4.933 * [backup-simplify]: Simplify k into k 4.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.933 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.933 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.933 * [taylor]: Taking taylor expansion of 2.0 in n 4.933 * [backup-simplify]: Simplify 2.0 into 2.0 4.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.933 * [taylor]: Taking taylor expansion of PI in n 4.933 * [backup-simplify]: Simplify PI into PI 4.933 * [taylor]: Taking taylor expansion of n in n 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ PI 1) into PI 4.934 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.934 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.934 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.935 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.935 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.936 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.937 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.937 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.937 * [taylor]: Taking taylor expansion of 1.0 in k 4.937 * [backup-simplify]: Simplify 1.0 into 1.0 4.937 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.937 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.937 * [taylor]: Taking taylor expansion of k in k 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (sqrt 0) into 0 4.938 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.938 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.938 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.939 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.939 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.939 * [taylor]: Taking taylor expansion of 0.5 in k 4.939 * [backup-simplify]: Simplify 0.5 into 0.5 4.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.939 * [taylor]: Taking taylor expansion of 1.0 in k 4.939 * [backup-simplify]: Simplify 1.0 into 1.0 4.939 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.939 * [taylor]: Taking taylor expansion of k in k 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify (/ 1 1) into 1 4.939 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.939 * [taylor]: Taking taylor expansion of 2.0 in k 4.939 * [backup-simplify]: Simplify 2.0 into 2.0 4.939 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.939 * [taylor]: Taking taylor expansion of PI in k 4.939 * [backup-simplify]: Simplify PI into PI 4.939 * [taylor]: Taking taylor expansion of n in k 4.939 * [backup-simplify]: Simplify n into n 4.939 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.939 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.939 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.939 * [backup-simplify]: Simplify (- 1) into -1 4.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.940 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.940 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.940 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.940 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.940 * [taylor]: Taking taylor expansion of 1.0 in k 4.940 * [backup-simplify]: Simplify 1.0 into 1.0 4.940 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.940 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.940 * [taylor]: Taking taylor expansion of k in k 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (sqrt 0) into 0 4.941 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.941 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.942 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.942 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.942 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.942 * [taylor]: Taking taylor expansion of 0.5 in k 4.942 * [backup-simplify]: Simplify 0.5 into 0.5 4.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.942 * [taylor]: Taking taylor expansion of 1.0 in k 4.942 * [backup-simplify]: Simplify 1.0 into 1.0 4.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.942 * [taylor]: Taking taylor expansion of k in k 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.942 * [taylor]: Taking taylor expansion of 2.0 in k 4.942 * [backup-simplify]: Simplify 2.0 into 2.0 4.942 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.942 * [taylor]: Taking taylor expansion of PI in k 4.942 * [backup-simplify]: Simplify PI into PI 4.942 * [taylor]: Taking taylor expansion of n in k 4.942 * [backup-simplify]: Simplify n into n 4.942 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.942 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 4.942 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 4.943 * [backup-simplify]: Simplify (- 1) into -1 4.943 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.943 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.943 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 4.943 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 4.944 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 4.944 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.944 * [taylor]: Taking taylor expansion of 0 in n 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.945 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.945 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.945 * [taylor]: Taking taylor expansion of +nan.0 in n 4.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.945 * [taylor]: Taking taylor expansion of 0.5 in n 4.945 * [backup-simplify]: Simplify 0.5 into 0.5 4.945 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.945 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.945 * [taylor]: Taking taylor expansion of 2.0 in n 4.945 * [backup-simplify]: Simplify 2.0 into 2.0 4.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.945 * [taylor]: Taking taylor expansion of PI in n 4.945 * [backup-simplify]: Simplify PI into PI 4.945 * [taylor]: Taking taylor expansion of n in n 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 1 into 1 4.945 * [backup-simplify]: Simplify (/ PI 1) into PI 4.946 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.946 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.946 * [taylor]: Taking taylor expansion of 1.0 in n 4.946 * [backup-simplify]: Simplify 1.0 into 1.0 4.946 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.947 * [taylor]: Taking taylor expansion of k in n 4.947 * [backup-simplify]: Simplify k into k 4.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.948 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.948 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.948 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.949 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.950 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.951 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.951 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.952 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.952 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.955 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.955 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.955 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.955 * [taylor]: Taking taylor expansion of +nan.0 in n 4.955 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.955 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.955 * [taylor]: Taking taylor expansion of 0.5 in n 4.956 * [backup-simplify]: Simplify 0.5 into 0.5 4.956 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.956 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.956 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.956 * [taylor]: Taking taylor expansion of 2.0 in n 4.956 * [backup-simplify]: Simplify 2.0 into 2.0 4.956 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.956 * [taylor]: Taking taylor expansion of PI in n 4.956 * [backup-simplify]: Simplify PI into PI 4.956 * [taylor]: Taking taylor expansion of n in n 4.956 * [backup-simplify]: Simplify 0 into 0 4.956 * [backup-simplify]: Simplify 1 into 1 4.956 * [backup-simplify]: Simplify (/ PI 1) into PI 4.956 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.957 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.957 * [taylor]: Taking taylor expansion of 1.0 in n 4.957 * [backup-simplify]: Simplify 1.0 into 1.0 4.957 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.957 * [taylor]: Taking taylor expansion of k in n 4.957 * [backup-simplify]: Simplify k into k 4.957 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.959 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.959 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.959 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.961 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.962 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.963 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.964 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.966 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.967 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 4.969 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.969 * [backup-simplify]: Simplify (- 0) into 0 4.970 * [backup-simplify]: Simplify (+ 0 0) into 0 4.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.975 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 4.978 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 4.981 * [backup-simplify]: Simplify (- 0) into 0 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.988 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 4.988 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.988 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.988 * [taylor]: Taking taylor expansion of +nan.0 in n 4.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.988 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.989 * [taylor]: Taking taylor expansion of 0.5 in n 4.989 * [backup-simplify]: Simplify 0.5 into 0.5 4.989 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.989 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.989 * [taylor]: Taking taylor expansion of 2.0 in n 4.989 * [backup-simplify]: Simplify 2.0 into 2.0 4.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.989 * [taylor]: Taking taylor expansion of PI in n 4.989 * [backup-simplify]: Simplify PI into PI 4.989 * [taylor]: Taking taylor expansion of n in n 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.989 * [backup-simplify]: Simplify (/ PI 1) into PI 4.990 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.991 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.991 * [taylor]: Taking taylor expansion of 1.0 in n 4.991 * [backup-simplify]: Simplify 1.0 into 1.0 4.991 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.991 * [taylor]: Taking taylor expansion of k in n 4.991 * [backup-simplify]: Simplify k into k 4.991 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.993 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.993 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.993 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.994 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 4.995 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 4.997 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 4.998 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 4.999 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.001 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 5.006 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 5.007 * [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)))) 5.007 * [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 5.007 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.007 * [taylor]: Taking taylor expansion of 1.0 in n 5.007 * [backup-simplify]: Simplify 1.0 into 1.0 5.007 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.007 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.007 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.007 * [taylor]: Taking taylor expansion of 0.5 in n 5.007 * [backup-simplify]: Simplify 0.5 into 0.5 5.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.007 * [taylor]: Taking taylor expansion of k in n 5.007 * [backup-simplify]: Simplify k into k 5.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.007 * [taylor]: Taking taylor expansion of 1.0 in n 5.007 * [backup-simplify]: Simplify 1.0 into 1.0 5.007 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.008 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.008 * [taylor]: Taking taylor expansion of -2.0 in n 5.008 * [backup-simplify]: Simplify -2.0 into -2.0 5.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.008 * [taylor]: Taking taylor expansion of PI in n 5.008 * [backup-simplify]: Simplify PI into PI 5.008 * [taylor]: Taking taylor expansion of n in n 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify 1 into 1 5.008 * [backup-simplify]: Simplify (/ PI 1) into PI 5.009 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.010 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.010 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.010 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.012 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.013 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.014 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.014 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.014 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.014 * [taylor]: Taking taylor expansion of -1 in n 5.014 * [backup-simplify]: Simplify -1 into -1 5.014 * [taylor]: Taking taylor expansion of k in n 5.014 * [backup-simplify]: Simplify k into k 5.014 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 5.015 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 5.015 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 5.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 5.016 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 5.016 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.016 * [taylor]: Taking taylor expansion of 1.0 in k 5.016 * [backup-simplify]: Simplify 1.0 into 1.0 5.016 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.016 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.016 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.017 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.017 * [taylor]: Taking taylor expansion of 0.5 in k 5.017 * [backup-simplify]: Simplify 0.5 into 0.5 5.017 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.017 * [taylor]: Taking taylor expansion of k in k 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.017 * [backup-simplify]: Simplify (/ 1 1) into 1 5.017 * [taylor]: Taking taylor expansion of 1.0 in k 5.017 * [backup-simplify]: Simplify 1.0 into 1.0 5.017 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.017 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.017 * [taylor]: Taking taylor expansion of -2.0 in k 5.017 * [backup-simplify]: Simplify -2.0 into -2.0 5.017 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.017 * [taylor]: Taking taylor expansion of PI in k 5.017 * [backup-simplify]: Simplify PI into PI 5.018 * [taylor]: Taking taylor expansion of n in k 5.018 * [backup-simplify]: Simplify n into n 5.018 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.018 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.018 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.018 * [backup-simplify]: Simplify (+ 1 0) into 1 5.019 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.019 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.019 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.019 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.019 * [taylor]: Taking taylor expansion of -1 in k 5.019 * [backup-simplify]: Simplify -1 into -1 5.019 * [taylor]: Taking taylor expansion of k in k 5.019 * [backup-simplify]: Simplify 0 into 0 5.019 * [backup-simplify]: Simplify 1 into 1 5.020 * [backup-simplify]: Simplify (/ -1 1) into -1 5.020 * [backup-simplify]: Simplify (sqrt 0) into 0 5.022 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.022 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.022 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.022 * [taylor]: Taking taylor expansion of 1.0 in k 5.022 * [backup-simplify]: Simplify 1.0 into 1.0 5.022 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.022 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.022 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.022 * [taylor]: Taking taylor expansion of 0.5 in k 5.023 * [backup-simplify]: Simplify 0.5 into 0.5 5.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.023 * [taylor]: Taking taylor expansion of k in k 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (/ 1 1) into 1 5.023 * [taylor]: Taking taylor expansion of 1.0 in k 5.023 * [backup-simplify]: Simplify 1.0 into 1.0 5.023 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.023 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.023 * [taylor]: Taking taylor expansion of -2.0 in k 5.023 * [backup-simplify]: Simplify -2.0 into -2.0 5.023 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.023 * [taylor]: Taking taylor expansion of PI in k 5.023 * [backup-simplify]: Simplify PI into PI 5.023 * [taylor]: Taking taylor expansion of n in k 5.023 * [backup-simplify]: Simplify n into n 5.024 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 5.024 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 5.024 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 5.024 * [backup-simplify]: Simplify (+ 1 0) into 1 5.025 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.025 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 5.025 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 5.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.025 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.025 * [taylor]: Taking taylor expansion of -1 in k 5.025 * [backup-simplify]: Simplify -1 into -1 5.025 * [taylor]: Taking taylor expansion of k in k 5.025 * [backup-simplify]: Simplify 0 into 0 5.025 * [backup-simplify]: Simplify 1 into 1 5.026 * [backup-simplify]: Simplify (/ -1 1) into -1 5.026 * [backup-simplify]: Simplify (sqrt 0) into 0 5.028 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.028 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.029 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 5.029 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.029 * [taylor]: Taking taylor expansion of +nan.0 in n 5.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.029 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.029 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.029 * [taylor]: Taking taylor expansion of 0.5 in n 5.029 * [backup-simplify]: Simplify 0.5 into 0.5 5.029 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.029 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.029 * [taylor]: Taking taylor expansion of k in n 5.029 * [backup-simplify]: Simplify k into k 5.029 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.029 * [taylor]: Taking taylor expansion of 1.0 in n 5.029 * [backup-simplify]: Simplify 1.0 into 1.0 5.029 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.029 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.029 * [taylor]: Taking taylor expansion of -2.0 in n 5.029 * [backup-simplify]: Simplify -2.0 into -2.0 5.029 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.029 * [taylor]: Taking taylor expansion of PI in n 5.029 * [backup-simplify]: Simplify PI into PI 5.029 * [taylor]: Taking taylor expansion of n in n 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.030 * [backup-simplify]: Simplify (/ PI 1) into PI 5.031 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.032 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.032 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.034 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.036 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.037 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.038 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.039 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.044 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.045 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.045 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.046 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.046 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.046 * [taylor]: Taking taylor expansion of +nan.0 in n 5.046 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.046 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.046 * [taylor]: Taking taylor expansion of 0.5 in n 5.046 * [backup-simplify]: Simplify 0.5 into 0.5 5.046 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.046 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.046 * [taylor]: Taking taylor expansion of k in n 5.046 * [backup-simplify]: Simplify k into k 5.046 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.046 * [taylor]: Taking taylor expansion of 1.0 in n 5.046 * [backup-simplify]: Simplify 1.0 into 1.0 5.046 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.046 * [taylor]: Taking taylor expansion of -2.0 in n 5.047 * [backup-simplify]: Simplify -2.0 into -2.0 5.047 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.047 * [taylor]: Taking taylor expansion of PI in n 5.047 * [backup-simplify]: Simplify PI into PI 5.047 * [taylor]: Taking taylor expansion of n in n 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 1 into 1 5.047 * [backup-simplify]: Simplify (/ PI 1) into PI 5.048 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.049 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.049 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.051 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.051 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.052 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.053 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.054 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.055 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 5.056 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 5.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.057 * [backup-simplify]: Simplify (+ 0 0) into 0 5.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.064 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 5.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 5.066 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.068 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.072 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.072 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 5.072 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.072 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.072 * [taylor]: Taking taylor expansion of +nan.0 in n 5.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.072 * [taylor]: Taking taylor expansion of 0.5 in n 5.073 * [backup-simplify]: Simplify 0.5 into 0.5 5.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.073 * [taylor]: Taking taylor expansion of k in n 5.073 * [backup-simplify]: Simplify k into k 5.073 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.073 * [taylor]: Taking taylor expansion of 1.0 in n 5.073 * [backup-simplify]: Simplify 1.0 into 1.0 5.073 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.073 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.073 * [taylor]: Taking taylor expansion of -2.0 in n 5.073 * [backup-simplify]: Simplify -2.0 into -2.0 5.073 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.073 * [taylor]: Taking taylor expansion of PI in n 5.073 * [backup-simplify]: Simplify PI into PI 5.073 * [taylor]: Taking taylor expansion of n in n 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [backup-simplify]: Simplify (/ PI 1) into PI 5.073 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 5.074 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 5.074 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 5.076 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 5.077 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 5.078 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 5.079 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 5.079 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.080 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 5.083 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.083 * * * [progress]: simplifying candidates 5.086 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.090 * * [simplify]: Extracting # 0 : cost 0 5.091 * * [simplify]: Extracting # 1 : cost 0 5.091 * * [simplify]: Extracting # 2 : cost 0 5.091 * * [simplify]: Extracting # 3 : cost 0 5.092 * * [simplify]: Extracting # 4 : cost 0 5.092 * * [simplify]: Extracting # 5 : cost 0 5.093 * * [simplify]: Extracting # 6 : cost 0 5.093 * * [simplify]: Extracting # 7 : cost 0 5.094 * * [simplify]: Extracting # 8 : cost 0 5.094 * * [simplify]: Extracting # 9 : cost 0 5.095 * * [simplify]: Extracting # 10 : cost 0 5.095 * * [simplify]: Extracting # 11 : cost 0 5.096 * * [simplify]: Extracting # 12 : cost 0 5.097 * * [simplify]: Extracting # 13 : cost 0 5.097 * * [simplify]: Extracting # 14 : cost 0 5.098 * * [simplify]: Extracting # 15 : cost 0 5.098 * * [simplify]: Extracting # 16 : cost 0 5.099 * * [simplify]: Extracting # 17 : cost 0 5.099 * * [simplify]: Extracting # 18 : cost 0 5.100 * * [simplify]: Extracting # 19 : cost 0 5.101 * * [simplify]: Extracting # 20 : cost 0 5.101 * * [simplify]: Extracting # 21 : cost 0 5.102 * * [simplify]: Extracting # 22 : cost 0 5.102 * * [simplify]: Extracting # 23 : cost 0 5.103 * * [simplify]: Extracting # 24 : cost 0 5.103 * * [simplify]: Extracting # 25 : cost 0 5.104 * * [simplify]: Extracting # 26 : cost 0 5.104 * * [simplify]: Extracting # 27 : cost 0 5.105 * * [simplify]: Extracting # 28 : cost 0 5.106 * * [simplify]: Extracting # 29 : cost 0 5.107 * * [simplify]: Extracting # 30 : cost 0 5.108 * * [simplify]: Extracting # 31 : cost 0 5.109 * * [simplify]: Extracting # 32 : cost 0 5.110 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 5.280 * * [simplify]: Extracting # 0 : cost 0 5.283 * * [simplify]: Extracting # 1 : cost 0 5.286 * * [simplify]: Extracting # 2 : cost 0 5.288 * * [simplify]: Extracting # 3 : cost 0 5.291 * * [simplify]: Extracting # 4 : cost 0 5.293 * * [simplify]: Extracting # 5 : cost 0 5.294 * * [simplify]: Extracting # 6 : cost 0 5.296 * * [simplify]: iteration 1 : 961 enodes (cost 2712 ) 5.900 * * [simplify]: Extracting # 0 : cost 0 5.907 * * [simplify]: Extracting # 1 : cost 0 5.916 * * [simplify]: Extracting # 2 : cost 0 5.930 * * [simplify]: Extracting # 3 : cost 0 5.938 * * [simplify]: Extracting # 4 : cost 0 5.947 * * [simplify]: Extracting # 5 : cost 0 5.955 * * [simplify]: iteration 2 : 3137 enodes (cost 2550 ) 7.293 * * [simplify]: Extracting # 0 : cost 0 7.308 * * [simplify]: Extracting # 1 : cost 0 7.314 * * [simplify]: Extracting # 2 : cost 0 7.325 * * [simplify]: Extracting # 3 : cost 0 7.334 * * [simplify]: Extracting # 4 : cost 0 7.340 * * [simplify]: iteration done: 5000 enodes (cost 2540 ) 7.342 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 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)))) (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))) (* (* PI n) 2.0) (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))) (* (* PI n) 2.0) (* (* PI n) 2.0) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* k (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) k) (/ (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (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))) (fma 0.5 (* (- k) (fma (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) (fma (* 0.125 (pow k 2)) (fma (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))) (fma 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) (pow (* (* 2.0 PI) n) 0.5)))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow (exp (* 0.5 (- 1.0 k))) (- (log (* -2.0 PI)) (log (/ -1 n)))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (fma k (- +nan.0) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (fma (pow k 2) (* (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0) (fma (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) (- +nan.0) (fma (pow k 2) (* (* (log n) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) +nan.0) (fma (- +nan.0) (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (- (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) +nan.0 (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) +nan.0 (- (* +nan.0 (- (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (fma +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))) (- (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))))) (fma +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 7.343 * * * [progress]: adding candidates to table 7.997 * * [progress]: iteration 2 / 4 7.997 * * * [progress]: picking best candidate 8.039 * * * * [pick]: Picked # 8.039 * * * [progress]: localizing error 8.076 * * * [progress]: generating rewritten candidates 8.076 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.091 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.103 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.157 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.173 * * * [progress]: generating series expansions 8.173 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.173 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 8.173 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 8.173 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 8.173 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 8.173 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 8.173 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.173 * [taylor]: Taking taylor expansion of 0.5 in k 8.173 * [backup-simplify]: Simplify 0.5 into 0.5 8.173 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.173 * [taylor]: Taking taylor expansion of 1.0 in k 8.174 * [backup-simplify]: Simplify 1.0 into 1.0 8.174 * [taylor]: Taking taylor expansion of k in k 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [taylor]: Taking taylor expansion of (log n) in k 8.174 * [taylor]: Taking taylor expansion of n in k 8.174 * [backup-simplify]: Simplify n into n 8.174 * [backup-simplify]: Simplify (log n) into (log n) 8.174 * [backup-simplify]: Simplify (- 0) into 0 8.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.175 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.175 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 8.175 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.175 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.175 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.175 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.175 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.175 * [taylor]: Taking taylor expansion of 0.5 in n 8.175 * [backup-simplify]: Simplify 0.5 into 0.5 8.175 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.175 * [taylor]: Taking taylor expansion of 1.0 in n 8.175 * [backup-simplify]: Simplify 1.0 into 1.0 8.175 * [taylor]: Taking taylor expansion of k in n 8.175 * [backup-simplify]: Simplify k into k 8.175 * [taylor]: Taking taylor expansion of (log n) in n 8.175 * [taylor]: Taking taylor expansion of n in n 8.175 * [backup-simplify]: Simplify 0 into 0 8.175 * [backup-simplify]: Simplify 1 into 1 8.176 * [backup-simplify]: Simplify (log 1) into 0 8.176 * [backup-simplify]: Simplify (- k) into (- k) 8.176 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.176 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.176 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.176 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.176 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.176 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 8.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 8.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 8.176 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.176 * [taylor]: Taking taylor expansion of 0.5 in n 8.176 * [backup-simplify]: Simplify 0.5 into 0.5 8.176 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.176 * [taylor]: Taking taylor expansion of 1.0 in n 8.176 * [backup-simplify]: Simplify 1.0 into 1.0 8.176 * [taylor]: Taking taylor expansion of k in n 8.176 * [backup-simplify]: Simplify k into k 8.176 * [taylor]: Taking taylor expansion of (log n) in n 8.176 * [taylor]: Taking taylor expansion of n in n 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (log 1) into 0 8.177 * [backup-simplify]: Simplify (- k) into (- k) 8.177 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.177 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.177 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.177 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 8.177 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 8.177 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 8.177 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 8.177 * [taylor]: Taking taylor expansion of 0.5 in k 8.178 * [backup-simplify]: Simplify 0.5 into 0.5 8.178 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 8.178 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.178 * [taylor]: Taking taylor expansion of 1.0 in k 8.178 * [backup-simplify]: Simplify 1.0 into 1.0 8.178 * [taylor]: Taking taylor expansion of k in k 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 1 into 1 8.178 * [taylor]: Taking taylor expansion of (log n) in k 8.178 * [taylor]: Taking taylor expansion of n in k 8.178 * [backup-simplify]: Simplify n into n 8.178 * [backup-simplify]: Simplify (log n) into (log n) 8.178 * [backup-simplify]: Simplify (- 0) into 0 8.178 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.178 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 8.178 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 8.178 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 8.179 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 8.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.180 * [backup-simplify]: Simplify (- 0) into 0 8.180 * [backup-simplify]: Simplify (+ 0 0) into 0 8.180 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.181 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 8.181 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.181 * [taylor]: Taking taylor expansion of 0 in k 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.183 * [backup-simplify]: Simplify (- 1) into -1 8.183 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.184 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 8.184 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 8.184 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.185 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 8.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.188 * [backup-simplify]: Simplify (- 0) into 0 8.189 * [backup-simplify]: Simplify (+ 0 0) into 0 8.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 8.191 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 8.192 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.192 * [taylor]: Taking taylor expansion of 0 in k 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.194 * [backup-simplify]: Simplify (- 0) into 0 8.194 * [backup-simplify]: Simplify (+ 0 0) into 0 8.195 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 8.196 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.196 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 8.197 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 8.197 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 8.197 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.197 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 8.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 8.197 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.197 * [taylor]: Taking taylor expansion of 0.5 in k 8.197 * [backup-simplify]: Simplify 0.5 into 0.5 8.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.197 * [taylor]: Taking taylor expansion of 1.0 in k 8.197 * [backup-simplify]: Simplify 1.0 into 1.0 8.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.197 * [taylor]: Taking taylor expansion of k in k 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.198 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 8.198 * [taylor]: Taking taylor expansion of (/ 1 n) in k 8.198 * [taylor]: Taking taylor expansion of n in k 8.198 * [backup-simplify]: Simplify n into n 8.198 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 8.198 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 8.198 * [backup-simplify]: Simplify (- 1) into -1 8.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.199 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.199 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 8.199 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 8.199 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.199 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.199 * [taylor]: Taking taylor expansion of 0.5 in n 8.199 * [backup-simplify]: Simplify 0.5 into 0.5 8.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.199 * [taylor]: Taking taylor expansion of 1.0 in n 8.199 * [backup-simplify]: Simplify 1.0 into 1.0 8.199 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.199 * [taylor]: Taking taylor expansion of k in n 8.199 * [backup-simplify]: Simplify k into k 8.199 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.199 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.199 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.199 * [taylor]: Taking taylor expansion of n in n 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [backup-simplify]: Simplify (/ 1 1) into 1 8.200 * [backup-simplify]: Simplify (log 1) into 0 8.200 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.200 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.200 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.200 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.200 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.200 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.200 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.200 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 8.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 8.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.201 * [taylor]: Taking taylor expansion of 0.5 in n 8.201 * [backup-simplify]: Simplify 0.5 into 0.5 8.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.201 * [taylor]: Taking taylor expansion of 1.0 in n 8.201 * [backup-simplify]: Simplify 1.0 into 1.0 8.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.201 * [taylor]: Taking taylor expansion of k in n 8.201 * [backup-simplify]: Simplify k into k 8.201 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.201 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 8.201 * [taylor]: Taking taylor expansion of (/ 1 n) in n 8.201 * [taylor]: Taking taylor expansion of n in n 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [backup-simplify]: Simplify (/ 1 1) into 1 8.201 * [backup-simplify]: Simplify (log 1) into 0 8.201 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.201 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.201 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 8.202 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.202 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 8.202 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.202 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 8.202 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 8.202 * [taylor]: Taking taylor expansion of -0.5 in k 8.202 * [backup-simplify]: Simplify -0.5 into -0.5 8.202 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 8.202 * [taylor]: Taking taylor expansion of (log n) in k 8.202 * [taylor]: Taking taylor expansion of n in k 8.202 * [backup-simplify]: Simplify n into n 8.202 * [backup-simplify]: Simplify (log n) into (log n) 8.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.202 * [taylor]: Taking taylor expansion of 1.0 in k 8.202 * [backup-simplify]: Simplify 1.0 into 1.0 8.202 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.202 * [taylor]: Taking taylor expansion of k in k 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (/ 1 1) into 1 8.203 * [backup-simplify]: Simplify (- 1) into -1 8.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.203 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 8.203 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 8.203 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.203 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 8.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.205 * [backup-simplify]: Simplify (- 0) into 0 8.205 * [backup-simplify]: Simplify (+ 0 0) into 0 8.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.206 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 8.207 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.207 * [taylor]: Taking taylor expansion of 0 in k 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.209 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 8.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.209 * [backup-simplify]: Simplify (- 0) into 0 8.209 * [backup-simplify]: Simplify (+ 0 0) into 0 8.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.211 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 8.212 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.212 * [taylor]: Taking taylor expansion of 0 in k 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.215 * [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 8.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.215 * [backup-simplify]: Simplify (- 0) into 0 8.216 * [backup-simplify]: Simplify (+ 0 0) into 0 8.216 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.217 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 8.217 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 8.218 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.218 * [taylor]: Taking taylor expansion of 0 in k 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 8.219 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 8.219 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.219 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 8.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 8.219 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.219 * [taylor]: Taking taylor expansion of 0.5 in k 8.219 * [backup-simplify]: Simplify 0.5 into 0.5 8.219 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.219 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.219 * [taylor]: Taking taylor expansion of k in k 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify 1 into 1 8.219 * [backup-simplify]: Simplify (/ 1 1) into 1 8.219 * [taylor]: Taking taylor expansion of 1.0 in k 8.219 * [backup-simplify]: Simplify 1.0 into 1.0 8.219 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 8.219 * [taylor]: Taking taylor expansion of (/ -1 n) in k 8.219 * [taylor]: Taking taylor expansion of -1 in k 8.219 * [backup-simplify]: Simplify -1 into -1 8.219 * [taylor]: Taking taylor expansion of n in k 8.219 * [backup-simplify]: Simplify n into n 8.220 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 8.220 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 8.220 * [backup-simplify]: Simplify (+ 1 0) into 1 8.220 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.220 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 8.220 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 8.220 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.220 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.220 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.220 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.220 * [taylor]: Taking taylor expansion of 0.5 in n 8.220 * [backup-simplify]: Simplify 0.5 into 0.5 8.220 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.221 * [taylor]: Taking taylor expansion of k in n 8.221 * [backup-simplify]: Simplify k into k 8.221 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.221 * [taylor]: Taking taylor expansion of 1.0 in n 8.221 * [backup-simplify]: Simplify 1.0 into 1.0 8.221 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.221 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.221 * [taylor]: Taking taylor expansion of -1 in n 8.221 * [backup-simplify]: Simplify -1 into -1 8.221 * [taylor]: Taking taylor expansion of n in n 8.221 * [backup-simplify]: Simplify 0 into 0 8.221 * [backup-simplify]: Simplify 1 into 1 8.221 * [backup-simplify]: Simplify (/ -1 1) into -1 8.221 * [backup-simplify]: Simplify (log -1) into (log -1) 8.221 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.221 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.222 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.223 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.223 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 8.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 8.223 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.223 * [taylor]: Taking taylor expansion of 0.5 in n 8.223 * [backup-simplify]: Simplify 0.5 into 0.5 8.223 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.223 * [taylor]: Taking taylor expansion of k in n 8.223 * [backup-simplify]: Simplify k into k 8.223 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.223 * [taylor]: Taking taylor expansion of 1.0 in n 8.223 * [backup-simplify]: Simplify 1.0 into 1.0 8.223 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 8.223 * [taylor]: Taking taylor expansion of (/ -1 n) in n 8.223 * [taylor]: Taking taylor expansion of -1 in n 8.223 * [backup-simplify]: Simplify -1 into -1 8.223 * [taylor]: Taking taylor expansion of n in n 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 1 into 1 8.223 * [backup-simplify]: Simplify (/ -1 1) into -1 8.224 * [backup-simplify]: Simplify (log -1) into (log -1) 8.224 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.224 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 8.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.225 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 8.225 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 8.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 8.225 * [taylor]: Taking taylor expansion of 0.5 in k 8.225 * [backup-simplify]: Simplify 0.5 into 0.5 8.225 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 8.225 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 8.225 * [taylor]: Taking taylor expansion of (log -1) in k 8.225 * [taylor]: Taking taylor expansion of -1 in k 8.225 * [backup-simplify]: Simplify -1 into -1 8.225 * [backup-simplify]: Simplify (log -1) into (log -1) 8.225 * [taylor]: Taking taylor expansion of (log n) in k 8.226 * [taylor]: Taking taylor expansion of n in k 8.226 * [backup-simplify]: Simplify n into n 8.226 * [backup-simplify]: Simplify (log n) into (log n) 8.226 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.226 * [taylor]: Taking taylor expansion of k in k 8.226 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (/ 1 1) into 1 8.226 * [taylor]: Taking taylor expansion of 1.0 in k 8.226 * [backup-simplify]: Simplify 1.0 into 1.0 8.226 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.226 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 8.227 * [backup-simplify]: Simplify (+ 1 0) into 1 8.227 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 8.227 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 8.227 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.228 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 8.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 8.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.230 * [backup-simplify]: Simplify (+ 0 0) into 0 8.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.232 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 8.233 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.233 * [taylor]: Taking taylor expansion of 0 in k 8.233 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.238 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 8.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.238 * [backup-simplify]: Simplify (+ 0 0) into 0 8.239 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.241 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 8.243 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.243 * [taylor]: Taking taylor expansion of 0 in k 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.251 * [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 8.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.251 * [backup-simplify]: Simplify (+ 0 0) into 0 8.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 8.255 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 8.257 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.257 * [taylor]: Taking taylor expansion of 0 in k 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 0 into 0 8.258 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 8.258 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.259 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 8.259 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 8.259 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.259 * [taylor]: Taking taylor expansion of 0.5 in k 8.259 * [backup-simplify]: Simplify 0.5 into 0.5 8.259 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.259 * [taylor]: Taking taylor expansion of 1.0 in k 8.259 * [backup-simplify]: Simplify 1.0 into 1.0 8.259 * [taylor]: Taking taylor expansion of k in k 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 1 into 1 8.259 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.259 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.259 * [taylor]: Taking taylor expansion of 2.0 in k 8.259 * [backup-simplify]: Simplify 2.0 into 2.0 8.259 * [taylor]: Taking taylor expansion of PI in k 8.259 * [backup-simplify]: Simplify PI into PI 8.260 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.261 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.261 * [backup-simplify]: Simplify (- 0) into 0 8.262 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.262 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.264 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.267 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.267 * [taylor]: Taking taylor expansion of 0.5 in k 8.267 * [backup-simplify]: Simplify 0.5 into 0.5 8.267 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.267 * [taylor]: Taking taylor expansion of 1.0 in k 8.267 * [backup-simplify]: Simplify 1.0 into 1.0 8.267 * [taylor]: Taking taylor expansion of k in k 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 1 into 1 8.267 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.267 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.267 * [taylor]: Taking taylor expansion of 2.0 in k 8.267 * [backup-simplify]: Simplify 2.0 into 2.0 8.267 * [taylor]: Taking taylor expansion of PI in k 8.267 * [backup-simplify]: Simplify PI into PI 8.268 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.269 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.269 * [backup-simplify]: Simplify (- 0) into 0 8.270 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.270 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.272 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.275 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.276 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 8.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.279 * [backup-simplify]: Simplify (- 1) into -1 8.280 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.281 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.297 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.305 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.306 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.307 * [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 8.308 * [backup-simplify]: Simplify (- 0) into 0 8.308 * [backup-simplify]: Simplify (+ 0 0) into 0 8.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.319 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.326 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.347 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 8.348 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 8.348 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 8.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.348 * [taylor]: Taking taylor expansion of 0.5 in k 8.348 * [backup-simplify]: Simplify 0.5 into 0.5 8.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.348 * [taylor]: Taking taylor expansion of 1.0 in k 8.348 * [backup-simplify]: Simplify 1.0 into 1.0 8.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.348 * [taylor]: Taking taylor expansion of k in k 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.349 * [backup-simplify]: Simplify (/ 1 1) into 1 8.349 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.349 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.349 * [taylor]: Taking taylor expansion of 2.0 in k 8.349 * [backup-simplify]: Simplify 2.0 into 2.0 8.349 * [taylor]: Taking taylor expansion of PI in k 8.349 * [backup-simplify]: Simplify PI into PI 8.349 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.350 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.351 * [backup-simplify]: Simplify (- 1) into -1 8.351 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.352 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.353 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.355 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.355 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.355 * [taylor]: Taking taylor expansion of 0.5 in k 8.355 * [backup-simplify]: Simplify 0.5 into 0.5 8.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.355 * [taylor]: Taking taylor expansion of 1.0 in k 8.355 * [backup-simplify]: Simplify 1.0 into 1.0 8.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.355 * [taylor]: Taking taylor expansion of k in k 8.355 * [backup-simplify]: Simplify 0 into 0 8.355 * [backup-simplify]: Simplify 1 into 1 8.356 * [backup-simplify]: Simplify (/ 1 1) into 1 8.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.356 * [taylor]: Taking taylor expansion of 2.0 in k 8.356 * [backup-simplify]: Simplify 2.0 into 2.0 8.356 * [taylor]: Taking taylor expansion of PI in k 8.356 * [backup-simplify]: Simplify PI into PI 8.356 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.357 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.358 * [backup-simplify]: Simplify (- 1) into -1 8.358 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.358 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.359 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.360 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.361 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.362 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 8.362 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 8.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.362 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.362 * [taylor]: Taking taylor expansion of 0.5 in k 8.362 * [backup-simplify]: Simplify 0.5 into 0.5 8.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.362 * [taylor]: Taking taylor expansion of k in k 8.362 * [backup-simplify]: Simplify 0 into 0 8.362 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (/ 1 1) into 1 8.363 * [taylor]: Taking taylor expansion of 1.0 in k 8.363 * [backup-simplify]: Simplify 1.0 into 1.0 8.363 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.363 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.363 * [taylor]: Taking taylor expansion of 2.0 in k 8.363 * [backup-simplify]: Simplify 2.0 into 2.0 8.363 * [taylor]: Taking taylor expansion of PI in k 8.363 * [backup-simplify]: Simplify PI into PI 8.363 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.364 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.364 * [backup-simplify]: Simplify (+ 1 0) into 1 8.364 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.365 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.366 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.366 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.366 * [taylor]: Taking taylor expansion of 0.5 in k 8.366 * [backup-simplify]: Simplify 0.5 into 0.5 8.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.366 * [taylor]: Taking taylor expansion of k in k 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (/ 1 1) into 1 8.367 * [taylor]: Taking taylor expansion of 1.0 in k 8.367 * [backup-simplify]: Simplify 1.0 into 1.0 8.367 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.367 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.367 * [taylor]: Taking taylor expansion of 2.0 in k 8.367 * [backup-simplify]: Simplify 2.0 into 2.0 8.367 * [taylor]: Taking taylor expansion of PI in k 8.367 * [backup-simplify]: Simplify PI into PI 8.367 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.368 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.368 * [backup-simplify]: Simplify (+ 1 0) into 1 8.368 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.369 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.370 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.371 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 8.372 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.372 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 8.372 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 8.372 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.372 * [taylor]: Taking taylor expansion of 1.0 in k 8.372 * [backup-simplify]: Simplify 1.0 into 1.0 8.372 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.372 * [taylor]: Taking taylor expansion of k in k 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 1 into 1 8.373 * [backup-simplify]: Simplify (/ 1 1) into 1 8.373 * [backup-simplify]: Simplify (sqrt 0) into 0 8.374 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.374 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.374 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.374 * [taylor]: Taking taylor expansion of 0.5 in k 8.374 * [backup-simplify]: Simplify 0.5 into 0.5 8.374 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.374 * [taylor]: Taking taylor expansion of 1.0 in k 8.374 * [backup-simplify]: Simplify 1.0 into 1.0 8.374 * [taylor]: Taking taylor expansion of k in k 8.374 * [backup-simplify]: Simplify 0 into 0 8.374 * [backup-simplify]: Simplify 1 into 1 8.374 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.374 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.374 * [taylor]: Taking taylor expansion of 2.0 in k 8.374 * [backup-simplify]: Simplify 2.0 into 2.0 8.374 * [taylor]: Taking taylor expansion of PI in k 8.374 * [backup-simplify]: Simplify PI into PI 8.374 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.375 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.375 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.376 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.377 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.378 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.378 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 8.378 * [taylor]: Taking taylor expansion of 1.0 in k 8.378 * [backup-simplify]: Simplify 1.0 into 1.0 8.379 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 8.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.379 * [taylor]: Taking taylor expansion of k in k 8.379 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify 1 into 1 8.379 * [backup-simplify]: Simplify (/ 1 1) into 1 8.379 * [backup-simplify]: Simplify (sqrt 0) into 0 8.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 8.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 8.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 8.380 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.380 * [taylor]: Taking taylor expansion of 0.5 in k 8.380 * [backup-simplify]: Simplify 0.5 into 0.5 8.380 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.380 * [taylor]: Taking taylor expansion of 1.0 in k 8.380 * [backup-simplify]: Simplify 1.0 into 1.0 8.380 * [taylor]: Taking taylor expansion of k in k 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 1 into 1 8.380 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.380 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.380 * [taylor]: Taking taylor expansion of 2.0 in k 8.380 * [backup-simplify]: Simplify 2.0 into 2.0 8.380 * [taylor]: Taking taylor expansion of PI in k 8.380 * [backup-simplify]: Simplify PI into PI 8.380 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.381 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.381 * [backup-simplify]: Simplify (- 0) into 0 8.382 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.382 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.383 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.384 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 8.385 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 8.385 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.387 * [backup-simplify]: Simplify (- 1) into -1 8.387 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.388 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 8.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 8.398 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.402 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.412 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.417 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 8.418 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.422 * [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 8.423 * [backup-simplify]: Simplify (- 0) into 0 8.423 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.426 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 8.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.447 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.470 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.500 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 8.522 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 8.523 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.530 * [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 8.530 * [backup-simplify]: Simplify (- 0) into 0 8.531 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 8.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 8.556 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.605 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 8.642 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 8.676 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 8.719 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 8.720 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 8.720 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 8.720 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.720 * [taylor]: Taking taylor expansion of 1.0 in k 8.720 * [backup-simplify]: Simplify 1.0 into 1.0 8.720 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.720 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.720 * [taylor]: Taking taylor expansion of k in k 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (sqrt 0) into 0 8.721 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.721 * [taylor]: Taking taylor expansion of 0.5 in k 8.721 * [backup-simplify]: Simplify 0.5 into 0.5 8.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.721 * [taylor]: Taking taylor expansion of 1.0 in k 8.722 * [backup-simplify]: Simplify 1.0 into 1.0 8.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.722 * [taylor]: Taking taylor expansion of k in k 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (/ 1 1) into 1 8.722 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.722 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.722 * [taylor]: Taking taylor expansion of 2.0 in k 8.722 * [backup-simplify]: Simplify 2.0 into 2.0 8.722 * [taylor]: Taking taylor expansion of PI in k 8.722 * [backup-simplify]: Simplify PI into PI 8.722 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.723 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.723 * [backup-simplify]: Simplify (- 1) into -1 8.723 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.724 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.725 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.725 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.726 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 8.726 * [taylor]: Taking taylor expansion of 1.0 in k 8.726 * [backup-simplify]: Simplify 1.0 into 1.0 8.726 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 8.726 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.726 * [taylor]: Taking taylor expansion of k in k 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 1 into 1 8.726 * [backup-simplify]: Simplify (sqrt 0) into 0 8.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 8.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 8.727 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.727 * [taylor]: Taking taylor expansion of 0.5 in k 8.727 * [backup-simplify]: Simplify 0.5 into 0.5 8.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.727 * [taylor]: Taking taylor expansion of 1.0 in k 8.727 * [backup-simplify]: Simplify 1.0 into 1.0 8.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.727 * [taylor]: Taking taylor expansion of k in k 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [backup-simplify]: Simplify (/ 1 1) into 1 8.727 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.727 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.727 * [taylor]: Taking taylor expansion of 2.0 in k 8.727 * [backup-simplify]: Simplify 2.0 into 2.0 8.727 * [taylor]: Taking taylor expansion of PI in k 8.727 * [backup-simplify]: Simplify PI into PI 8.728 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.728 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.729 * [backup-simplify]: Simplify (- 1) into -1 8.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.729 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 8.730 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 8.731 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 8.732 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 8.732 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.734 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.735 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.740 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.740 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.747 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.748 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 8.750 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 8.751 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 8.751 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 8.751 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.751 * [taylor]: Taking taylor expansion of 1.0 in k 8.751 * [backup-simplify]: Simplify 1.0 into 1.0 8.751 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.751 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.751 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.751 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.751 * [taylor]: Taking taylor expansion of 0.5 in k 8.751 * [backup-simplify]: Simplify 0.5 into 0.5 8.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.751 * [taylor]: Taking taylor expansion of k in k 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [backup-simplify]: Simplify (/ 1 1) into 1 8.751 * [taylor]: Taking taylor expansion of 1.0 in k 8.751 * [backup-simplify]: Simplify 1.0 into 1.0 8.752 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.752 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.752 * [taylor]: Taking taylor expansion of 2.0 in k 8.752 * [backup-simplify]: Simplify 2.0 into 2.0 8.752 * [taylor]: Taking taylor expansion of PI in k 8.752 * [backup-simplify]: Simplify PI into PI 8.752 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.753 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.753 * [backup-simplify]: Simplify (+ 1 0) into 1 8.753 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.754 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.755 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.755 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.755 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.755 * [taylor]: Taking taylor expansion of -1 in k 8.755 * [backup-simplify]: Simplify -1 into -1 8.755 * [taylor]: Taking taylor expansion of k in k 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.755 * [backup-simplify]: Simplify (/ -1 1) into -1 8.756 * [backup-simplify]: Simplify (sqrt 0) into 0 8.756 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.757 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 8.757 * [taylor]: Taking taylor expansion of 1.0 in k 8.757 * [backup-simplify]: Simplify 1.0 into 1.0 8.757 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 8.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 8.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 8.757 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.757 * [taylor]: Taking taylor expansion of 0.5 in k 8.757 * [backup-simplify]: Simplify 0.5 into 0.5 8.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.757 * [taylor]: Taking taylor expansion of k in k 8.757 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [backup-simplify]: Simplify (/ 1 1) into 1 8.758 * [taylor]: Taking taylor expansion of 1.0 in k 8.758 * [backup-simplify]: Simplify 1.0 into 1.0 8.758 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.758 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.758 * [taylor]: Taking taylor expansion of 2.0 in k 8.758 * [backup-simplify]: Simplify 2.0 into 2.0 8.758 * [taylor]: Taking taylor expansion of PI in k 8.758 * [backup-simplify]: Simplify PI into PI 8.759 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.760 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.760 * [backup-simplify]: Simplify (+ 1 0) into 1 8.761 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.762 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 8.762 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 8.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.762 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.762 * [taylor]: Taking taylor expansion of -1 in k 8.763 * [backup-simplify]: Simplify -1 into -1 8.763 * [taylor]: Taking taylor expansion of k in k 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.763 * [backup-simplify]: Simplify (/ -1 1) into -1 8.763 * [backup-simplify]: Simplify (sqrt 0) into 0 8.764 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.765 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.766 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.766 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 8.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.770 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.771 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.772 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.777 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.780 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.780 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 8.783 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 8.783 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.783 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.783 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.783 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.783 * [taylor]: Taking taylor expansion of 1.0 in k 8.783 * [backup-simplify]: Simplify 1.0 into 1.0 8.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.783 * [taylor]: Taking taylor expansion of k in k 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (/ 1 1) into 1 8.784 * [backup-simplify]: Simplify (sqrt 0) into 0 8.785 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.785 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.785 * [taylor]: Taking taylor expansion of 1.0 in k 8.785 * [backup-simplify]: Simplify 1.0 into 1.0 8.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.785 * [taylor]: Taking taylor expansion of k in k 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [backup-simplify]: Simplify (/ 1 1) into 1 8.786 * [backup-simplify]: Simplify (sqrt 0) into 0 8.787 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.787 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.787 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.795 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.800 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.802 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.810 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.811 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.812 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 8.812 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.812 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.812 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.812 * [taylor]: Taking taylor expansion of 1.0 in k 8.812 * [backup-simplify]: Simplify 1.0 into 1.0 8.812 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.812 * [taylor]: Taking taylor expansion of k in k 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.813 * [backup-simplify]: Simplify (sqrt 0) into 0 8.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.814 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.814 * [taylor]: Taking taylor expansion of 1.0 in k 8.814 * [backup-simplify]: Simplify 1.0 into 1.0 8.814 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.814 * [taylor]: Taking taylor expansion of k in k 8.814 * [backup-simplify]: Simplify 0 into 0 8.814 * [backup-simplify]: Simplify 1 into 1 8.814 * [backup-simplify]: Simplify (sqrt 0) into 0 8.815 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.815 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.815 * [backup-simplify]: Simplify 0 into 0 8.816 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.816 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.818 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.820 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.820 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.824 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.824 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.825 * [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)))))))) 8.825 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.825 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.825 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.825 * [taylor]: Taking taylor expansion of 1.0 in k 8.825 * [backup-simplify]: Simplify 1.0 into 1.0 8.825 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.825 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.825 * [taylor]: Taking taylor expansion of -1 in k 8.825 * [backup-simplify]: Simplify -1 into -1 8.825 * [taylor]: Taking taylor expansion of k in k 8.825 * [backup-simplify]: Simplify 0 into 0 8.825 * [backup-simplify]: Simplify 1 into 1 8.826 * [backup-simplify]: Simplify (/ -1 1) into -1 8.826 * [backup-simplify]: Simplify (sqrt 0) into 0 8.827 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.827 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.827 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.827 * [taylor]: Taking taylor expansion of 1.0 in k 8.827 * [backup-simplify]: Simplify 1.0 into 1.0 8.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.827 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.827 * [taylor]: Taking taylor expansion of -1 in k 8.827 * [backup-simplify]: Simplify -1 into -1 8.827 * [taylor]: Taking taylor expansion of k in k 8.827 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify 1 into 1 8.827 * [backup-simplify]: Simplify (/ -1 1) into -1 8.828 * [backup-simplify]: Simplify (sqrt 0) into 0 8.828 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.829 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.829 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.833 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.833 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.838 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.838 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.839 * [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))))) 8.839 * * * [progress]: simplifying candidates 8.842 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.847 * * [simplify]: Extracting # 0 : cost 0 8.848 * * [simplify]: Extracting # 1 : cost 0 8.849 * * [simplify]: Extracting # 2 : cost 0 8.849 * * [simplify]: Extracting # 3 : cost 0 8.850 * * [simplify]: Extracting # 4 : cost 0 8.851 * * [simplify]: Extracting # 5 : cost 0 8.852 * * [simplify]: Extracting # 6 : cost 0 8.853 * * [simplify]: Extracting # 7 : cost 0 8.854 * * [simplify]: Extracting # 8 : cost 0 8.855 * * [simplify]: Extracting # 9 : cost 0 8.856 * * [simplify]: Extracting # 10 : cost 0 8.857 * * [simplify]: Extracting # 11 : cost 0 8.858 * * [simplify]: Extracting # 12 : cost 0 8.859 * * [simplify]: Extracting # 13 : cost 0 8.860 * * [simplify]: Extracting # 14 : cost 0 8.861 * * [simplify]: Extracting # 15 : cost 0 8.862 * * [simplify]: Extracting # 16 : cost 0 8.862 * * [simplify]: Extracting # 17 : cost 0 8.863 * * [simplify]: iteration 0 : 333 enodes (cost 2626 ) 8.966 * * [simplify]: Extracting # 0 : cost 0 8.969 * * [simplify]: Extracting # 1 : cost 0 8.971 * * [simplify]: Extracting # 2 : cost 0 8.973 * * [simplify]: Extracting # 3 : cost 0 8.987 * * [simplify]: Extracting # 4 : cost 0 8.990 * * [simplify]: iteration 1 : 831 enodes (cost 2468 ) 9.412 * * [simplify]: Extracting # 0 : cost 0 9.418 * * [simplify]: Extracting # 1 : cost 0 9.430 * * [simplify]: Extracting # 2 : cost 0 9.436 * * [simplify]: Extracting # 3 : cost 0 9.442 * * [simplify]: Extracting # 4 : cost 0 9.448 * * [simplify]: iteration 2 : 2409 enodes (cost 2362 ) 10.457 * * [simplify]: Extracting # 0 : cost 0 10.467 * * [simplify]: Extracting # 1 : cost 0 10.481 * * [simplify]: Extracting # 2 : cost 0 10.494 * * [simplify]: Extracting # 3 : cost 0 10.506 * * [simplify]: Extracting # 4 : cost 0 10.518 * * [simplify]: iteration done: 5000 enodes (cost 2337 ) 10.520 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (sqrt (- 1.0 k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 PI))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) (* (sqrt k) k)) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3)) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (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) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (pow (exp (* 0.5 (- 1.0 k))) (+ 0 (log n))) (- (fma 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (fma (- +nan.0) (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- +nan.0) (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) +nan.0)))))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) (pow k 3))) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (- +nan.0) k))) (fma +nan.0 (- (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5)) (* (/ (pow (pow (* 2.0 PI) (- 1.0 k)) 0.5) k) (/ (- +nan.0) k))) (- (fma k +nan.0 (fma (- (pow k 2)) +nan.0 +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) +nan.0))) 10.521 * * * [progress]: adding candidates to table 11.334 * * [progress]: iteration 3 / 4 11.334 * * * [progress]: picking best candidate 11.363 * * * * [pick]: Picked # 11.364 * * * [progress]: localizing error 11.384 * * * [progress]: generating rewritten candidates 11.384 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 11.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 11.400 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.485 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 11.502 * * * [progress]: generating series expansions 11.502 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 11.502 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 11.502 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 11.502 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 11.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 11.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 11.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.502 * [taylor]: Taking taylor expansion of 0.5 in k 11.502 * [backup-simplify]: Simplify 0.5 into 0.5 11.502 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.502 * [taylor]: Taking taylor expansion of 1.0 in k 11.502 * [backup-simplify]: Simplify 1.0 into 1.0 11.502 * [taylor]: Taking taylor expansion of k in k 11.502 * [backup-simplify]: Simplify 0 into 0 11.502 * [backup-simplify]: Simplify 1 into 1 11.502 * [taylor]: Taking taylor expansion of (log n) in k 11.502 * [taylor]: Taking taylor expansion of n in k 11.502 * [backup-simplify]: Simplify n into n 11.503 * [backup-simplify]: Simplify (log n) into (log n) 11.503 * [backup-simplify]: Simplify (- 0) into 0 11.503 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.504 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.504 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 11.504 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.504 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.504 * [taylor]: Taking taylor expansion of 0.5 in n 11.504 * [backup-simplify]: Simplify 0.5 into 0.5 11.504 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.504 * [taylor]: Taking taylor expansion of 1.0 in n 11.504 * [backup-simplify]: Simplify 1.0 into 1.0 11.504 * [taylor]: Taking taylor expansion of k in n 11.504 * [backup-simplify]: Simplify k into k 11.504 * [taylor]: Taking taylor expansion of (log n) in n 11.504 * [taylor]: Taking taylor expansion of n in n 11.504 * [backup-simplify]: Simplify 0 into 0 11.504 * [backup-simplify]: Simplify 1 into 1 11.504 * [backup-simplify]: Simplify (log 1) into 0 11.505 * [backup-simplify]: Simplify (- k) into (- k) 11.505 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.505 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.505 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.505 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.505 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.505 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 11.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 11.505 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 11.505 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.505 * [taylor]: Taking taylor expansion of 0.5 in n 11.505 * [backup-simplify]: Simplify 0.5 into 0.5 11.505 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.505 * [taylor]: Taking taylor expansion of 1.0 in n 11.506 * [backup-simplify]: Simplify 1.0 into 1.0 11.506 * [taylor]: Taking taylor expansion of k in n 11.506 * [backup-simplify]: Simplify k into k 11.506 * [taylor]: Taking taylor expansion of (log n) in n 11.506 * [taylor]: Taking taylor expansion of n in n 11.506 * [backup-simplify]: Simplify 0 into 0 11.506 * [backup-simplify]: Simplify 1 into 1 11.506 * [backup-simplify]: Simplify (log 1) into 0 11.506 * [backup-simplify]: Simplify (- k) into (- k) 11.506 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.506 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.506 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.506 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 11.507 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 11.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 11.507 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 11.507 * [taylor]: Taking taylor expansion of 0.5 in k 11.507 * [backup-simplify]: Simplify 0.5 into 0.5 11.507 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 11.507 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.507 * [taylor]: Taking taylor expansion of 1.0 in k 11.507 * [backup-simplify]: Simplify 1.0 into 1.0 11.507 * [taylor]: Taking taylor expansion of k in k 11.507 * [backup-simplify]: Simplify 0 into 0 11.507 * [backup-simplify]: Simplify 1 into 1 11.507 * [taylor]: Taking taylor expansion of (log n) in k 11.507 * [taylor]: Taking taylor expansion of n in k 11.507 * [backup-simplify]: Simplify n into n 11.507 * [backup-simplify]: Simplify (log n) into (log n) 11.507 * [backup-simplify]: Simplify (- 0) into 0 11.508 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.508 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.508 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 11.508 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 11.508 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 11.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.509 * [backup-simplify]: Simplify (- 0) into 0 11.509 * [backup-simplify]: Simplify (+ 0 0) into 0 11.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.510 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.510 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 11.511 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.511 * [taylor]: Taking taylor expansion of 0 in k 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify 0 into 0 11.511 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.511 * [backup-simplify]: Simplify (- 1) into -1 11.512 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.512 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 11.512 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 11.512 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.513 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 11.514 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.514 * [backup-simplify]: Simplify (- 0) into 0 11.515 * [backup-simplify]: Simplify (+ 0 0) into 0 11.515 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.516 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.516 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 11.517 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.517 * [taylor]: Taking taylor expansion of 0 in k 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.518 * [backup-simplify]: Simplify (- 0) into 0 11.518 * [backup-simplify]: Simplify (+ 0 0) into 0 11.519 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 11.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 11.520 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.520 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 11.521 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 11.521 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 11.521 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.521 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 11.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 11.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.521 * [taylor]: Taking taylor expansion of 0.5 in k 11.521 * [backup-simplify]: Simplify 0.5 into 0.5 11.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.521 * [taylor]: Taking taylor expansion of 1.0 in k 11.521 * [backup-simplify]: Simplify 1.0 into 1.0 11.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.521 * [taylor]: Taking taylor expansion of k in k 11.522 * [backup-simplify]: Simplify 0 into 0 11.522 * [backup-simplify]: Simplify 1 into 1 11.522 * [backup-simplify]: Simplify (/ 1 1) into 1 11.522 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 11.522 * [taylor]: Taking taylor expansion of (/ 1 n) in k 11.522 * [taylor]: Taking taylor expansion of n in k 11.522 * [backup-simplify]: Simplify n into n 11.522 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 11.522 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 11.522 * [backup-simplify]: Simplify (- 1) into -1 11.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.523 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.523 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 11.523 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 11.523 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.523 * [taylor]: Taking taylor expansion of 0.5 in n 11.523 * [backup-simplify]: Simplify 0.5 into 0.5 11.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.523 * [taylor]: Taking taylor expansion of 1.0 in n 11.523 * [backup-simplify]: Simplify 1.0 into 1.0 11.523 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.523 * [taylor]: Taking taylor expansion of k in n 11.523 * [backup-simplify]: Simplify k into k 11.523 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.523 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.523 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.523 * [taylor]: Taking taylor expansion of n in n 11.523 * [backup-simplify]: Simplify 0 into 0 11.523 * [backup-simplify]: Simplify 1 into 1 11.524 * [backup-simplify]: Simplify (/ 1 1) into 1 11.524 * [backup-simplify]: Simplify (log 1) into 0 11.524 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.524 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.524 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.524 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.525 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.525 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 11.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 11.525 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.525 * [taylor]: Taking taylor expansion of 0.5 in n 11.525 * [backup-simplify]: Simplify 0.5 into 0.5 11.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.525 * [taylor]: Taking taylor expansion of 1.0 in n 11.525 * [backup-simplify]: Simplify 1.0 into 1.0 11.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.525 * [taylor]: Taking taylor expansion of k in n 11.525 * [backup-simplify]: Simplify k into k 11.525 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.525 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 11.525 * [taylor]: Taking taylor expansion of (/ 1 n) in n 11.525 * [taylor]: Taking taylor expansion of n in n 11.525 * [backup-simplify]: Simplify 0 into 0 11.525 * [backup-simplify]: Simplify 1 into 1 11.525 * [backup-simplify]: Simplify (/ 1 1) into 1 11.525 * [backup-simplify]: Simplify (log 1) into 0 11.525 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.526 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.526 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.526 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.526 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 11.526 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.526 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 11.526 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 11.526 * [taylor]: Taking taylor expansion of -0.5 in k 11.526 * [backup-simplify]: Simplify -0.5 into -0.5 11.526 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 11.526 * [taylor]: Taking taylor expansion of (log n) in k 11.526 * [taylor]: Taking taylor expansion of n in k 11.526 * [backup-simplify]: Simplify n into n 11.526 * [backup-simplify]: Simplify (log n) into (log n) 11.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.526 * [taylor]: Taking taylor expansion of 1.0 in k 11.526 * [backup-simplify]: Simplify 1.0 into 1.0 11.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.526 * [taylor]: Taking taylor expansion of k in k 11.527 * [backup-simplify]: Simplify 0 into 0 11.527 * [backup-simplify]: Simplify 1 into 1 11.527 * [backup-simplify]: Simplify (/ 1 1) into 1 11.527 * [backup-simplify]: Simplify (- 1) into -1 11.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.527 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 11.527 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 11.528 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.528 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.529 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 11.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.529 * [backup-simplify]: Simplify (- 0) into 0 11.529 * [backup-simplify]: Simplify (+ 0 0) into 0 11.530 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.530 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 11.531 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.531 * [taylor]: Taking taylor expansion of 0 in k 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 11.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.533 * [backup-simplify]: Simplify (- 0) into 0 11.534 * [backup-simplify]: Simplify (+ 0 0) into 0 11.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.534 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.535 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 11.536 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.536 * [taylor]: Taking taylor expansion of 0 in k 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.539 * [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 11.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.540 * [backup-simplify]: Simplify (- 0) into 0 11.540 * [backup-simplify]: Simplify (+ 0 0) into 0 11.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 11.541 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 11.542 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.542 * [taylor]: Taking taylor expansion of 0 in k 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 11.543 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 11.543 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.543 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 11.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 11.543 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.543 * [taylor]: Taking taylor expansion of 0.5 in k 11.543 * [backup-simplify]: Simplify 0.5 into 0.5 11.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.543 * [taylor]: Taking taylor expansion of k in k 11.543 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify 1 into 1 11.543 * [backup-simplify]: Simplify (/ 1 1) into 1 11.543 * [taylor]: Taking taylor expansion of 1.0 in k 11.543 * [backup-simplify]: Simplify 1.0 into 1.0 11.543 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 11.543 * [taylor]: Taking taylor expansion of (/ -1 n) in k 11.544 * [taylor]: Taking taylor expansion of -1 in k 11.544 * [backup-simplify]: Simplify -1 into -1 11.544 * [taylor]: Taking taylor expansion of n in k 11.544 * [backup-simplify]: Simplify n into n 11.544 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 11.544 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 11.544 * [backup-simplify]: Simplify (+ 1 0) into 1 11.544 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.544 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 11.544 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 11.544 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.544 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.544 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.545 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.545 * [taylor]: Taking taylor expansion of 0.5 in n 11.545 * [backup-simplify]: Simplify 0.5 into 0.5 11.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.545 * [taylor]: Taking taylor expansion of k in n 11.545 * [backup-simplify]: Simplify k into k 11.545 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.545 * [taylor]: Taking taylor expansion of 1.0 in n 11.545 * [backup-simplify]: Simplify 1.0 into 1.0 11.545 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.545 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.545 * [taylor]: Taking taylor expansion of -1 in n 11.545 * [backup-simplify]: Simplify -1 into -1 11.545 * [taylor]: Taking taylor expansion of n in n 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify 1 into 1 11.545 * [backup-simplify]: Simplify (/ -1 1) into -1 11.546 * [backup-simplify]: Simplify (log -1) into (log -1) 11.546 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.546 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.547 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.547 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.547 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 11.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 11.547 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.547 * [taylor]: Taking taylor expansion of 0.5 in n 11.547 * [backup-simplify]: Simplify 0.5 into 0.5 11.547 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.547 * [taylor]: Taking taylor expansion of k in n 11.547 * [backup-simplify]: Simplify k into k 11.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.547 * [taylor]: Taking taylor expansion of 1.0 in n 11.547 * [backup-simplify]: Simplify 1.0 into 1.0 11.547 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 11.547 * [taylor]: Taking taylor expansion of (/ -1 n) in n 11.547 * [taylor]: Taking taylor expansion of -1 in n 11.547 * [backup-simplify]: Simplify -1 into -1 11.547 * [taylor]: Taking taylor expansion of n in n 11.547 * [backup-simplify]: Simplify 0 into 0 11.547 * [backup-simplify]: Simplify 1 into 1 11.548 * [backup-simplify]: Simplify (/ -1 1) into -1 11.548 * [backup-simplify]: Simplify (log -1) into (log -1) 11.548 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.548 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.549 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.549 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 11.549 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 11.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 11.550 * [taylor]: Taking taylor expansion of 0.5 in k 11.550 * [backup-simplify]: Simplify 0.5 into 0.5 11.550 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 11.550 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 11.550 * [taylor]: Taking taylor expansion of (log -1) in k 11.550 * [taylor]: Taking taylor expansion of -1 in k 11.550 * [backup-simplify]: Simplify -1 into -1 11.550 * [backup-simplify]: Simplify (log -1) into (log -1) 11.550 * [taylor]: Taking taylor expansion of (log n) in k 11.550 * [taylor]: Taking taylor expansion of n in k 11.550 * [backup-simplify]: Simplify n into n 11.550 * [backup-simplify]: Simplify (log n) into (log n) 11.550 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.550 * [taylor]: Taking taylor expansion of k in k 11.550 * [backup-simplify]: Simplify 0 into 0 11.550 * [backup-simplify]: Simplify 1 into 1 11.550 * [backup-simplify]: Simplify (/ 1 1) into 1 11.550 * [taylor]: Taking taylor expansion of 1.0 in k 11.550 * [backup-simplify]: Simplify 1.0 into 1.0 11.550 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.551 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 11.551 * [backup-simplify]: Simplify (+ 1 0) into 1 11.551 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 11.552 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 11.552 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.552 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 11.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.554 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 11.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.554 * [backup-simplify]: Simplify (+ 0 0) into 0 11.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.555 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 11.556 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.556 * [taylor]: Taking taylor expansion of 0 in k 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 11.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.559 * [backup-simplify]: Simplify (+ 0 0) into 0 11.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.560 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 11.561 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.561 * [taylor]: Taking taylor expansion of 0 in k 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.565 * [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 11.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.566 * [backup-simplify]: Simplify (+ 0 0) into 0 11.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.567 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 11.568 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 11.569 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.569 * [taylor]: Taking taylor expansion of 0 in k 11.569 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 11.570 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 11.570 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 11.570 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 11.570 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.570 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.570 * [taylor]: Taking taylor expansion of 0.5 in k 11.570 * [backup-simplify]: Simplify 0.5 into 0.5 11.570 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.570 * [taylor]: Taking taylor expansion of 1.0 in k 11.570 * [backup-simplify]: Simplify 1.0 into 1.0 11.570 * [taylor]: Taking taylor expansion of k in k 11.570 * [backup-simplify]: Simplify 0 into 0 11.570 * [backup-simplify]: Simplify 1 into 1 11.570 * [taylor]: Taking taylor expansion of (log PI) in k 11.570 * [taylor]: Taking taylor expansion of PI in k 11.570 * [backup-simplify]: Simplify PI into PI 11.571 * [backup-simplify]: Simplify (log PI) into (log PI) 11.571 * [backup-simplify]: Simplify (- 0) into 0 11.571 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.571 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.572 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.573 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.573 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.573 * [taylor]: Taking taylor expansion of 0.5 in k 11.573 * [backup-simplify]: Simplify 0.5 into 0.5 11.573 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.573 * [taylor]: Taking taylor expansion of 1.0 in k 11.573 * [backup-simplify]: Simplify 1.0 into 1.0 11.574 * [taylor]: Taking taylor expansion of k in k 11.574 * [backup-simplify]: Simplify 0 into 0 11.574 * [backup-simplify]: Simplify 1 into 1 11.574 * [taylor]: Taking taylor expansion of (log PI) in k 11.574 * [taylor]: Taking taylor expansion of PI in k 11.574 * [backup-simplify]: Simplify PI into PI 11.574 * [backup-simplify]: Simplify (log PI) into (log PI) 11.574 * [backup-simplify]: Simplify (- 0) into 0 11.574 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.575 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.575 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.576 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.577 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 11.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.578 * [backup-simplify]: Simplify (- 1) into -1 11.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.579 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.586 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.596 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.597 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.598 * [backup-simplify]: Simplify (- 0) into 0 11.598 * [backup-simplify]: Simplify (+ 0 0) into 0 11.599 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.599 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.606 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.609 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.614 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 11.615 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 11.615 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 11.615 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.615 * [taylor]: Taking taylor expansion of 0.5 in k 11.615 * [backup-simplify]: Simplify 0.5 into 0.5 11.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.615 * [taylor]: Taking taylor expansion of 1.0 in k 11.615 * [backup-simplify]: Simplify 1.0 into 1.0 11.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.615 * [taylor]: Taking taylor expansion of k in k 11.615 * [backup-simplify]: Simplify 0 into 0 11.615 * [backup-simplify]: Simplify 1 into 1 11.615 * [backup-simplify]: Simplify (/ 1 1) into 1 11.615 * [taylor]: Taking taylor expansion of (log PI) in k 11.615 * [taylor]: Taking taylor expansion of PI in k 11.615 * [backup-simplify]: Simplify PI into PI 11.615 * [backup-simplify]: Simplify (log PI) into (log PI) 11.616 * [backup-simplify]: Simplify (- 1) into -1 11.616 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.616 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.617 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.617 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.617 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.618 * [taylor]: Taking taylor expansion of 0.5 in k 11.618 * [backup-simplify]: Simplify 0.5 into 0.5 11.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.618 * [taylor]: Taking taylor expansion of 1.0 in k 11.618 * [backup-simplify]: Simplify 1.0 into 1.0 11.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.618 * [taylor]: Taking taylor expansion of k in k 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.618 * [backup-simplify]: Simplify (/ 1 1) into 1 11.618 * [taylor]: Taking taylor expansion of (log PI) in k 11.618 * [taylor]: Taking taylor expansion of PI in k 11.618 * [backup-simplify]: Simplify PI into PI 11.619 * [backup-simplify]: Simplify (log PI) into (log PI) 11.619 * [backup-simplify]: Simplify (- 1) into -1 11.620 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.620 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.621 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.622 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.622 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify 0 into 0 11.623 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.623 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 11.623 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 11.623 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.624 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.624 * [taylor]: Taking taylor expansion of 0.5 in k 11.624 * [backup-simplify]: Simplify 0.5 into 0.5 11.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.624 * [taylor]: Taking taylor expansion of k in k 11.624 * [backup-simplify]: Simplify 0 into 0 11.624 * [backup-simplify]: Simplify 1 into 1 11.624 * [backup-simplify]: Simplify (/ 1 1) into 1 11.624 * [taylor]: Taking taylor expansion of 1.0 in k 11.624 * [backup-simplify]: Simplify 1.0 into 1.0 11.624 * [taylor]: Taking taylor expansion of (log PI) in k 11.624 * [taylor]: Taking taylor expansion of PI in k 11.624 * [backup-simplify]: Simplify PI into PI 11.625 * [backup-simplify]: Simplify (log PI) into (log PI) 11.625 * [backup-simplify]: Simplify (+ 1 0) into 1 11.626 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.627 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.627 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.627 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.627 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.628 * [taylor]: Taking taylor expansion of 0.5 in k 11.628 * [backup-simplify]: Simplify 0.5 into 0.5 11.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.628 * [taylor]: Taking taylor expansion of k in k 11.628 * [backup-simplify]: Simplify 0 into 0 11.628 * [backup-simplify]: Simplify 1 into 1 11.628 * [backup-simplify]: Simplify (/ 1 1) into 1 11.628 * [taylor]: Taking taylor expansion of 1.0 in k 11.628 * [backup-simplify]: Simplify 1.0 into 1.0 11.628 * [taylor]: Taking taylor expansion of (log PI) in k 11.628 * [taylor]: Taking taylor expansion of PI in k 11.628 * [backup-simplify]: Simplify PI into PI 11.629 * [backup-simplify]: Simplify (log PI) into (log PI) 11.629 * [backup-simplify]: Simplify (+ 1 0) into 1 11.630 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.631 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.631 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.632 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.632 * [backup-simplify]: Simplify 0 into 0 11.633 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 11.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.634 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 11.634 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 11.634 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.634 * [taylor]: Taking taylor expansion of 1.0 in k 11.634 * [backup-simplify]: Simplify 1.0 into 1.0 11.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.634 * [taylor]: Taking taylor expansion of k in k 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 1 into 1 11.635 * [backup-simplify]: Simplify (/ 1 1) into 1 11.635 * [backup-simplify]: Simplify (sqrt 0) into 0 11.636 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.636 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.636 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.637 * [taylor]: Taking taylor expansion of 0.5 in k 11.637 * [backup-simplify]: Simplify 0.5 into 0.5 11.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.637 * [taylor]: Taking taylor expansion of 1.0 in k 11.637 * [backup-simplify]: Simplify 1.0 into 1.0 11.637 * [taylor]: Taking taylor expansion of k in k 11.637 * [backup-simplify]: Simplify 0 into 0 11.637 * [backup-simplify]: Simplify 1 into 1 11.637 * [taylor]: Taking taylor expansion of (log PI) in k 11.637 * [taylor]: Taking taylor expansion of PI in k 11.637 * [backup-simplify]: Simplify PI into PI 11.637 * [backup-simplify]: Simplify (log PI) into (log PI) 11.637 * [backup-simplify]: Simplify (- 0) into 0 11.638 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.638 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.639 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.640 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.640 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.640 * [taylor]: Taking taylor expansion of 0.5 in k 11.640 * [backup-simplify]: Simplify 0.5 into 0.5 11.640 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.640 * [taylor]: Taking taylor expansion of 1.0 in k 11.640 * [backup-simplify]: Simplify 1.0 into 1.0 11.640 * [taylor]: Taking taylor expansion of k in k 11.640 * [backup-simplify]: Simplify 0 into 0 11.640 * [backup-simplify]: Simplify 1 into 1 11.640 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.640 * [taylor]: Taking taylor expansion of 2.0 in k 11.640 * [backup-simplify]: Simplify 2.0 into 2.0 11.640 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.640 * [backup-simplify]: Simplify (- 0) into 0 11.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.641 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.642 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.643 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.643 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 11.643 * [taylor]: Taking taylor expansion of 1.0 in k 11.643 * [backup-simplify]: Simplify 1.0 into 1.0 11.643 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 11.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.643 * [taylor]: Taking taylor expansion of k in k 11.643 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify 1 into 1 11.643 * [backup-simplify]: Simplify (/ 1 1) into 1 11.643 * [backup-simplify]: Simplify (sqrt 0) into 0 11.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.644 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 11.644 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 11.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 11.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 11.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.644 * [taylor]: Taking taylor expansion of 0.5 in k 11.644 * [backup-simplify]: Simplify 0.5 into 0.5 11.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.644 * [taylor]: Taking taylor expansion of 1.0 in k 11.644 * [backup-simplify]: Simplify 1.0 into 1.0 11.644 * [taylor]: Taking taylor expansion of k in k 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of (log PI) in k 11.644 * [taylor]: Taking taylor expansion of PI in k 11.644 * [backup-simplify]: Simplify PI into PI 11.645 * [backup-simplify]: Simplify (log PI) into (log PI) 11.645 * [backup-simplify]: Simplify (- 0) into 0 11.645 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.646 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.646 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.647 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 11.647 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.648 * [taylor]: Taking taylor expansion of 0.5 in k 11.648 * [backup-simplify]: Simplify 0.5 into 0.5 11.648 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.648 * [taylor]: Taking taylor expansion of 1.0 in k 11.648 * [backup-simplify]: Simplify 1.0 into 1.0 11.648 * [taylor]: Taking taylor expansion of k in k 11.648 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify 1 into 1 11.648 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.648 * [taylor]: Taking taylor expansion of 2.0 in k 11.648 * [backup-simplify]: Simplify 2.0 into 2.0 11.648 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.648 * [backup-simplify]: Simplify (- 0) into 0 11.648 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.649 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.649 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.650 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.651 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 11.652 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 11.652 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.652 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 11.654 * [backup-simplify]: Simplify (- 1) into -1 11.654 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.655 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.657 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 11.662 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 11.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.663 * [backup-simplify]: Simplify (- 1) into -1 11.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.664 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 11.666 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 11.671 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 11.680 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 11.686 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.699 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 11.702 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 11.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 11.705 * [backup-simplify]: Simplify (- 0) into 0 11.705 * [backup-simplify]: Simplify (+ 0 0) into 0 11.705 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.706 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 11.713 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 11.715 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.715 * [backup-simplify]: Simplify (- 0) into 0 11.715 * [backup-simplify]: Simplify (+ 0 0) into 0 11.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 11.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 11.723 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 11.743 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.746 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.786 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 11.827 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 11.854 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 11.860 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2.0 1)))) 6) into 0 11.860 * [backup-simplify]: Simplify (- 0) into 0 11.861 * [backup-simplify]: Simplify (+ 0 0) into 0 11.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.864 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 11.881 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 11.887 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 11.887 * [backup-simplify]: Simplify (- 0) into 0 11.888 * [backup-simplify]: Simplify (+ 0 0) into 0 11.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 11.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 11.907 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 11.951 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 11.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.028 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 12.135 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 12.256 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 12.380 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 12.380 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 12.380 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 12.380 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.380 * [taylor]: Taking taylor expansion of 1.0 in k 12.380 * [backup-simplify]: Simplify 1.0 into 1.0 12.380 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.380 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.380 * [taylor]: Taking taylor expansion of k in k 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.381 * [backup-simplify]: Simplify (sqrt 0) into 0 12.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.382 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.382 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.382 * [taylor]: Taking taylor expansion of 0.5 in k 12.382 * [backup-simplify]: Simplify 0.5 into 0.5 12.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.382 * [taylor]: Taking taylor expansion of 1.0 in k 12.382 * [backup-simplify]: Simplify 1.0 into 1.0 12.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.382 * [taylor]: Taking taylor expansion of k in k 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (/ 1 1) into 1 12.382 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.382 * [taylor]: Taking taylor expansion of 2.0 in k 12.382 * [backup-simplify]: Simplify 2.0 into 2.0 12.383 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.383 * [backup-simplify]: Simplify (- 1) into -1 12.383 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.383 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.384 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.384 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.384 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.384 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.384 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.384 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.384 * [taylor]: Taking taylor expansion of 0.5 in k 12.384 * [backup-simplify]: Simplify 0.5 into 0.5 12.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.384 * [taylor]: Taking taylor expansion of 1.0 in k 12.385 * [backup-simplify]: Simplify 1.0 into 1.0 12.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.385 * [taylor]: Taking taylor expansion of k in k 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 1 into 1 12.385 * [backup-simplify]: Simplify (/ 1 1) into 1 12.385 * [taylor]: Taking taylor expansion of (log PI) in k 12.385 * [taylor]: Taking taylor expansion of PI in k 12.385 * [backup-simplify]: Simplify PI into PI 12.385 * [backup-simplify]: Simplify (log PI) into (log PI) 12.385 * [backup-simplify]: Simplify (- 1) into -1 12.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.386 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.387 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.387 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.387 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 12.387 * [taylor]: Taking taylor expansion of 1.0 in k 12.387 * [backup-simplify]: Simplify 1.0 into 1.0 12.387 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 12.387 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.387 * [taylor]: Taking taylor expansion of k in k 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 1 into 1 12.387 * [backup-simplify]: Simplify (sqrt 0) into 0 12.388 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.388 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.388 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.388 * [taylor]: Taking taylor expansion of 0.5 in k 12.388 * [backup-simplify]: Simplify 0.5 into 0.5 12.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.388 * [taylor]: Taking taylor expansion of 1.0 in k 12.388 * [backup-simplify]: Simplify 1.0 into 1.0 12.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.388 * [taylor]: Taking taylor expansion of k in k 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.389 * [backup-simplify]: Simplify (/ 1 1) into 1 12.389 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.389 * [taylor]: Taking taylor expansion of 2.0 in k 12.389 * [backup-simplify]: Simplify 2.0 into 2.0 12.389 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.389 * [backup-simplify]: Simplify (- 1) into -1 12.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.390 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.390 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.391 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 12.391 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.391 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.391 * [taylor]: Taking taylor expansion of 0.5 in k 12.391 * [backup-simplify]: Simplify 0.5 into 0.5 12.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.391 * [taylor]: Taking taylor expansion of 1.0 in k 12.391 * [backup-simplify]: Simplify 1.0 into 1.0 12.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.391 * [taylor]: Taking taylor expansion of k in k 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [taylor]: Taking taylor expansion of (log PI) in k 12.391 * [taylor]: Taking taylor expansion of PI in k 12.391 * [backup-simplify]: Simplify PI into PI 12.392 * [backup-simplify]: Simplify (log PI) into (log PI) 12.392 * [backup-simplify]: Simplify (- 1) into -1 12.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.392 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.393 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.393 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 12.395 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 12.396 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 12.396 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.396 * [backup-simplify]: Simplify 0 into 0 12.397 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 12.399 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.401 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.402 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.404 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 12.407 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.411 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.413 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.415 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 12.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.421 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.425 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.426 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 12.431 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 12.432 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 12.432 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 12.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.432 * [taylor]: Taking taylor expansion of 1.0 in k 12.432 * [backup-simplify]: Simplify 1.0 into 1.0 12.432 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.432 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.432 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.432 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.432 * [taylor]: Taking taylor expansion of 0.5 in k 12.432 * [backup-simplify]: Simplify 0.5 into 0.5 12.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.432 * [taylor]: Taking taylor expansion of k in k 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 1 into 1 12.433 * [backup-simplify]: Simplify (/ 1 1) into 1 12.433 * [taylor]: Taking taylor expansion of 1.0 in k 12.433 * [backup-simplify]: Simplify 1.0 into 1.0 12.433 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.433 * [taylor]: Taking taylor expansion of 2.0 in k 12.433 * [backup-simplify]: Simplify 2.0 into 2.0 12.434 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.434 * [backup-simplify]: Simplify (+ 1 0) into 1 12.435 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.436 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.436 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.436 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.436 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.437 * [taylor]: Taking taylor expansion of 0.5 in k 12.437 * [backup-simplify]: Simplify 0.5 into 0.5 12.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.437 * [taylor]: Taking taylor expansion of k in k 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [backup-simplify]: Simplify (/ 1 1) into 1 12.437 * [taylor]: Taking taylor expansion of 1.0 in k 12.437 * [backup-simplify]: Simplify 1.0 into 1.0 12.437 * [taylor]: Taking taylor expansion of (log PI) in k 12.437 * [taylor]: Taking taylor expansion of PI in k 12.437 * [backup-simplify]: Simplify PI into PI 12.438 * [backup-simplify]: Simplify (log PI) into (log PI) 12.438 * [backup-simplify]: Simplify (+ 1 0) into 1 12.439 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.440 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.440 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.440 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.440 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.440 * [taylor]: Taking taylor expansion of -1 in k 12.440 * [backup-simplify]: Simplify -1 into -1 12.440 * [taylor]: Taking taylor expansion of k in k 12.440 * [backup-simplify]: Simplify 0 into 0 12.441 * [backup-simplify]: Simplify 1 into 1 12.441 * [backup-simplify]: Simplify (/ -1 1) into -1 12.441 * [backup-simplify]: Simplify (sqrt 0) into 0 12.443 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.444 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.445 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 12.445 * [taylor]: Taking taylor expansion of 1.0 in k 12.445 * [backup-simplify]: Simplify 1.0 into 1.0 12.445 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 12.445 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.445 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.446 * [taylor]: Taking taylor expansion of 0.5 in k 12.446 * [backup-simplify]: Simplify 0.5 into 0.5 12.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.446 * [taylor]: Taking taylor expansion of k in k 12.446 * [backup-simplify]: Simplify 0 into 0 12.446 * [backup-simplify]: Simplify 1 into 1 12.446 * [backup-simplify]: Simplify (/ 1 1) into 1 12.446 * [taylor]: Taking taylor expansion of 1.0 in k 12.446 * [backup-simplify]: Simplify 1.0 into 1.0 12.446 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.446 * [taylor]: Taking taylor expansion of 2.0 in k 12.446 * [backup-simplify]: Simplify 2.0 into 2.0 12.447 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.447 * [backup-simplify]: Simplify (+ 1 0) into 1 12.448 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.449 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.449 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.449 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.449 * [taylor]: Taking taylor expansion of 0.5 in k 12.449 * [backup-simplify]: Simplify 0.5 into 0.5 12.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.449 * [taylor]: Taking taylor expansion of k in k 12.449 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify 1 into 1 12.450 * [backup-simplify]: Simplify (/ 1 1) into 1 12.450 * [taylor]: Taking taylor expansion of 1.0 in k 12.450 * [backup-simplify]: Simplify 1.0 into 1.0 12.450 * [taylor]: Taking taylor expansion of (log PI) in k 12.450 * [taylor]: Taking taylor expansion of PI in k 12.450 * [backup-simplify]: Simplify PI into PI 12.451 * [backup-simplify]: Simplify (log PI) into (log PI) 12.451 * [backup-simplify]: Simplify (+ 1 0) into 1 12.451 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.452 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.453 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 12.453 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.453 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.453 * [taylor]: Taking taylor expansion of -1 in k 12.453 * [backup-simplify]: Simplify -1 into -1 12.453 * [taylor]: Taking taylor expansion of k in k 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify 1 into 1 12.454 * [backup-simplify]: Simplify (/ -1 1) into -1 12.454 * [backup-simplify]: Simplify (sqrt 0) into 0 12.455 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.457 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.458 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.459 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.460 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 12.461 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 12.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.465 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.477 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.480 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.481 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.483 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 12.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.492 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.496 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.497 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 12.502 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 12.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 12.502 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.502 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.502 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.502 * [taylor]: Taking taylor expansion of 1.0 in k 12.502 * [backup-simplify]: Simplify 1.0 into 1.0 12.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.502 * [taylor]: Taking taylor expansion of k in k 12.503 * [backup-simplify]: Simplify 0 into 0 12.503 * [backup-simplify]: Simplify 1 into 1 12.503 * [backup-simplify]: Simplify (/ 1 1) into 1 12.503 * [backup-simplify]: Simplify (sqrt 0) into 0 12.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.505 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.505 * [taylor]: Taking taylor expansion of 1.0 in k 12.505 * [backup-simplify]: Simplify 1.0 into 1.0 12.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.505 * [taylor]: Taking taylor expansion of k in k 12.505 * [backup-simplify]: Simplify 0 into 0 12.505 * [backup-simplify]: Simplify 1 into 1 12.505 * [backup-simplify]: Simplify (/ 1 1) into 1 12.506 * [backup-simplify]: Simplify (sqrt 0) into 0 12.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.508 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.508 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.509 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.513 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.515 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.516 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.523 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.523 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.524 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 12.525 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.525 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.525 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.525 * [taylor]: Taking taylor expansion of 1.0 in k 12.525 * [backup-simplify]: Simplify 1.0 into 1.0 12.525 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.525 * [taylor]: Taking taylor expansion of k in k 12.525 * [backup-simplify]: Simplify 0 into 0 12.525 * [backup-simplify]: Simplify 1 into 1 12.525 * [backup-simplify]: Simplify (sqrt 0) into 0 12.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.527 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.527 * [taylor]: Taking taylor expansion of 1.0 in k 12.527 * [backup-simplify]: Simplify 1.0 into 1.0 12.527 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.527 * [taylor]: Taking taylor expansion of k in k 12.527 * [backup-simplify]: Simplify 0 into 0 12.527 * [backup-simplify]: Simplify 1 into 1 12.527 * [backup-simplify]: Simplify (sqrt 0) into 0 12.529 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.529 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.529 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.534 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.536 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.537 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.543 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.544 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.545 * [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)))))))) 12.546 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.546 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.546 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.546 * [taylor]: Taking taylor expansion of 1.0 in k 12.546 * [backup-simplify]: Simplify 1.0 into 1.0 12.546 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.546 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.546 * [taylor]: Taking taylor expansion of -1 in k 12.546 * [backup-simplify]: Simplify -1 into -1 12.546 * [taylor]: Taking taylor expansion of k in k 12.546 * [backup-simplify]: Simplify 0 into 0 12.546 * [backup-simplify]: Simplify 1 into 1 12.546 * [backup-simplify]: Simplify (/ -1 1) into -1 12.547 * [backup-simplify]: Simplify (sqrt 0) into 0 12.548 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.549 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.549 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.549 * [taylor]: Taking taylor expansion of 1.0 in k 12.549 * [backup-simplify]: Simplify 1.0 into 1.0 12.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.549 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.549 * [taylor]: Taking taylor expansion of -1 in k 12.549 * [backup-simplify]: Simplify -1 into -1 12.549 * [taylor]: Taking taylor expansion of k in k 12.549 * [backup-simplify]: Simplify 0 into 0 12.549 * [backup-simplify]: Simplify 1 into 1 12.549 * [backup-simplify]: Simplify (/ -1 1) into -1 12.550 * [backup-simplify]: Simplify (sqrt 0) into 0 12.551 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.552 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.552 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.557 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.559 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.569 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.569 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.570 * [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))))) 12.570 * * * [progress]: simplifying candidates 12.576 * [simplify]: Simplifying: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow 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(- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.586 * * [simplify]: Extracting # 0 : cost 0 12.587 * * [simplify]: Extracting # 1 : cost 0 12.588 * * [simplify]: Extracting # 2 : cost 0 12.589 * * [simplify]: Extracting # 3 : cost 0 12.590 * * [simplify]: Extracting # 4 : cost 0 12.591 * * [simplify]: Extracting # 5 : cost 0 12.592 * * [simplify]: Extracting # 6 : cost 0 12.593 * * [simplify]: Extracting # 7 : cost 0 12.594 * * [simplify]: Extracting # 8 : cost 0 12.595 * * [simplify]: Extracting # 9 : cost 0 12.596 * * [simplify]: Extracting # 10 : cost 0 12.598 * * [simplify]: Extracting # 11 : cost 0 12.599 * * [simplify]: Extracting # 12 : cost 0 12.600 * * [simplify]: Extracting # 13 : cost 0 12.601 * * [simplify]: Extracting # 14 : cost 0 12.602 * * [simplify]: Extracting # 15 : cost 0 12.603 * * [simplify]: Extracting # 16 : cost 0 12.605 * * [simplify]: Extracting # 17 : cost 0 12.606 * * [simplify]: Extracting # 18 : cost 0 12.607 * * [simplify]: Extracting # 19 : cost 0 12.608 * * [simplify]: Extracting # 20 : cost 0 12.609 * * [simplify]: Extracting # 21 : cost 0 12.611 * * [simplify]: Extracting # 22 : cost 0 12.622 * * [simplify]: Extracting # 23 : cost 0 12.623 * * [simplify]: Extracting # 24 : cost 0 12.624 * * [simplify]: Extracting # 25 : cost 0 12.625 * * [simplify]: Extracting # 26 : cost 0 12.627 * * [simplify]: Extracting # 27 : cost 0 12.628 * * [simplify]: Extracting # 28 : cost 0 12.629 * * [simplify]: Extracting # 29 : cost 0 12.630 * * [simplify]: Extracting # 30 : cost 0 12.631 * * [simplify]: Extracting # 31 : cost 0 12.633 * * [simplify]: Extracting # 32 : cost 0 12.634 * * [simplify]: iteration 0 : 384 enodes (cost 3225 ) 12.802 * * [simplify]: Extracting # 0 : cost 0 12.804 * * [simplify]: Extracting # 1 : cost 0 12.806 * * [simplify]: Extracting # 2 : cost 0 12.807 * * [simplify]: Extracting # 3 : cost 0 12.809 * * [simplify]: Extracting # 4 : cost 0 12.810 * * [simplify]: Extracting # 5 : cost 0 12.813 * * [simplify]: Extracting # 6 : cost 0 12.814 * * [simplify]: iteration 1 : 1040 enodes (cost 2900 ) 13.439 * * [simplify]: Extracting # 0 : cost 0 13.443 * * [simplify]: Extracting # 1 : cost 0 13.448 * * [simplify]: Extracting # 2 : cost 0 13.452 * * [simplify]: Extracting # 3 : cost 0 13.456 * * [simplify]: Extracting # 4 : cost 0 13.461 * * [simplify]: Extracting # 5 : cost 0 13.469 * * [simplify]: Extracting # 6 : cost 0 13.478 * * [simplify]: iteration 2 : 3303 enodes (cost 2698 ) 14.942 * * [simplify]: Extracting # 0 : cost 0 14.962 * * [simplify]: Extracting # 1 : cost 0 14.968 * * [simplify]: Extracting # 2 : cost 0 14.974 * * [simplify]: Extracting # 3 : cost 0 14.980 * * [simplify]: Extracting # 4 : cost 0 14.986 * * [simplify]: iteration done: 5002 enodes (cost 2678 ) 14.987 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (sqrt (- 1.0 k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (+ (sqrt 1.0) (sqrt k))) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (* (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) 3) (/ (pow 1.0 3) (* (sqrt k) k))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (pow 1.0 3) (* (sqrt k) k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (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) (- (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5)) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (- (fma 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5)) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (fma +nan.0 (- (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* +nan.0 (* (pow k 2) (pow (log PI) 2))) (fma (- (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0 (- (* (pow k 2) (* (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0)) (- (fma (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* +nan.0 k) k) (fma (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0 (fma +nan.0 (- (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (* (pow k 2) (log 2.0)))))) (* k (* (* (log PI) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0))))))) (fma (- +nan.0) (/ (pow (pow PI (- 1.0 k)) 0.5) (/ (pow k 2) (pow 2.0 (* 0.5 (- 1.0 k))))) (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (/ k (pow 2.0 (* 0.5 (- 1.0 k))))) (* (/ (pow 2.0 (* 0.5 (- 1.0 k))) (pow k 3)) (pow (pow PI (- 1.0 k)) 0.5))))) (fma (- (pow (exp 0.5) (fma (- 1.0 k) (log 2.0) (* (- 1.0 k) (log PI))))) +nan.0 (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (/ k (pow 2.0 (* 0.5 (- 1.0 k))))) (/ (pow (pow PI (- 1.0 k)) 0.5) (/ (pow k 2) (pow 2.0 (* 0.5 (- 1.0 k)))))))) (fma (- k) +nan.0 (fma (pow k 2) +nan.0 (- +nan.0))) (- (- (/ (/ +nan.0 k) k) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) 14.989 * * * [progress]: adding candidates to table 15.961 * * [progress]: iteration 4 / 4 15.961 * * * [progress]: picking best candidate 15.990 * * * * [pick]: Picked # 15.990 * * * [progress]: localizing error 16.019 * * * [progress]: generating rewritten candidates 16.019 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 16.072 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 16.105 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 16.155 * * * [progress]: generating series expansions 16.155 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 16.157 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.157 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.157 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.157 * [taylor]: Taking taylor expansion of 0.5 in k 16.157 * [backup-simplify]: Simplify 0.5 into 0.5 16.157 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.157 * [taylor]: Taking taylor expansion of 1.0 in k 16.157 * [backup-simplify]: Simplify 1.0 into 1.0 16.157 * [taylor]: Taking taylor expansion of k in k 16.157 * [backup-simplify]: Simplify 0 into 0 16.157 * [backup-simplify]: Simplify 1 into 1 16.157 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.157 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.157 * [taylor]: Taking taylor expansion of 2.0 in k 16.157 * [backup-simplify]: Simplify 2.0 into 2.0 16.157 * [taylor]: Taking taylor expansion of (* n PI) in k 16.157 * [taylor]: Taking taylor expansion of n in k 16.157 * [backup-simplify]: Simplify n into n 16.157 * [taylor]: Taking taylor expansion of PI in k 16.157 * [backup-simplify]: Simplify PI into PI 16.157 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.157 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.157 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.158 * [backup-simplify]: Simplify (- 0) into 0 16.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.159 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.159 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.159 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.159 * [taylor]: Taking taylor expansion of 0.5 in n 16.160 * [backup-simplify]: Simplify 0.5 into 0.5 16.160 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.160 * [taylor]: Taking taylor expansion of 1.0 in n 16.160 * [backup-simplify]: Simplify 1.0 into 1.0 16.160 * [taylor]: Taking taylor expansion of k in n 16.160 * [backup-simplify]: Simplify k into k 16.160 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.160 * [taylor]: Taking taylor expansion of 2.0 in n 16.160 * [backup-simplify]: Simplify 2.0 into 2.0 16.160 * [taylor]: Taking taylor expansion of (* n PI) in n 16.160 * [taylor]: Taking taylor expansion of n in n 16.160 * [backup-simplify]: Simplify 0 into 0 16.160 * [backup-simplify]: Simplify 1 into 1 16.160 * [taylor]: Taking taylor expansion of PI in n 16.160 * [backup-simplify]: Simplify PI into PI 16.160 * [backup-simplify]: Simplify (* 0 PI) into 0 16.161 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.170 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.171 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.171 * [backup-simplify]: Simplify (- k) into (- k) 16.171 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.171 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.174 * [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)))) 16.176 * [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))))) 16.176 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.176 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.176 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.176 * [taylor]: Taking taylor expansion of 0.5 in n 16.176 * [backup-simplify]: Simplify 0.5 into 0.5 16.176 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.176 * [taylor]: Taking taylor expansion of 1.0 in n 16.176 * [backup-simplify]: Simplify 1.0 into 1.0 16.176 * [taylor]: Taking taylor expansion of k in n 16.176 * [backup-simplify]: Simplify k into k 16.176 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.176 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.176 * [taylor]: Taking taylor expansion of 2.0 in n 16.176 * [backup-simplify]: Simplify 2.0 into 2.0 16.176 * [taylor]: Taking taylor expansion of (* n PI) in n 16.176 * [taylor]: Taking taylor expansion of n in n 16.176 * [backup-simplify]: Simplify 0 into 0 16.176 * [backup-simplify]: Simplify 1 into 1 16.176 * [taylor]: Taking taylor expansion of PI in n 16.176 * [backup-simplify]: Simplify PI into PI 16.177 * [backup-simplify]: Simplify (* 0 PI) into 0 16.177 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.179 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.180 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.181 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.181 * [backup-simplify]: Simplify (- k) into (- k) 16.182 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.182 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.183 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.184 * [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)))) 16.185 * [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))))) 16.186 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.186 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.186 * [taylor]: Taking taylor expansion of 0.5 in k 16.186 * [backup-simplify]: Simplify 0.5 into 0.5 16.186 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.186 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.186 * [taylor]: Taking taylor expansion of 1.0 in k 16.186 * [backup-simplify]: Simplify 1.0 into 1.0 16.186 * [taylor]: Taking taylor expansion of k in k 16.186 * [backup-simplify]: Simplify 0 into 0 16.186 * [backup-simplify]: Simplify 1 into 1 16.186 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.186 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.186 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.186 * [taylor]: Taking taylor expansion of 2.0 in k 16.186 * [backup-simplify]: Simplify 2.0 into 2.0 16.186 * [taylor]: Taking taylor expansion of PI in k 16.186 * [backup-simplify]: Simplify PI into PI 16.187 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.188 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.188 * [taylor]: Taking taylor expansion of (log n) in k 16.188 * [taylor]: Taking taylor expansion of n in k 16.188 * [backup-simplify]: Simplify n into n 16.188 * [backup-simplify]: Simplify (log n) into (log n) 16.188 * [backup-simplify]: Simplify (- 0) into 0 16.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.190 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.191 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.192 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.193 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.195 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.200 * [backup-simplify]: Simplify (- 0) into 0 16.200 * [backup-simplify]: Simplify (+ 0 0) into 0 16.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.202 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.204 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.206 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.206 * [taylor]: Taking taylor expansion of 0 in k 16.206 * [backup-simplify]: Simplify 0 into 0 16.206 * [backup-simplify]: Simplify 0 into 0 16.207 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.210 * [backup-simplify]: Simplify (+ 0 0) into 0 16.211 * [backup-simplify]: Simplify (- 1) into -1 16.211 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.213 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.215 * [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)))) 16.218 * [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)))))) 16.220 * [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)))))) 16.221 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.221 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.223 * [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 16.224 * [backup-simplify]: Simplify (- 0) into 0 16.224 * [backup-simplify]: Simplify (+ 0 0) into 0 16.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.225 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.227 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.228 * [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 16.228 * [taylor]: Taking taylor expansion of 0 in k 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.228 * [backup-simplify]: Simplify 0 into 0 16.229 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.231 * [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 16.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.232 * [backup-simplify]: Simplify (+ 0 0) into 0 16.233 * [backup-simplify]: Simplify (- 0) into 0 16.233 * [backup-simplify]: Simplify (+ 0 0) into 0 16.234 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.238 * [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 (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.241 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.248 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 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 (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 16.248 * [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)))) 16.248 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.248 * [taylor]: Taking taylor expansion of 0.5 in k 16.248 * [backup-simplify]: Simplify 0.5 into 0.5 16.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.248 * [taylor]: Taking taylor expansion of 1.0 in k 16.248 * [backup-simplify]: Simplify 1.0 into 1.0 16.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.248 * [taylor]: Taking taylor expansion of k in k 16.249 * [backup-simplify]: Simplify 0 into 0 16.249 * [backup-simplify]: Simplify 1 into 1 16.249 * [backup-simplify]: Simplify (/ 1 1) into 1 16.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.249 * [taylor]: Taking taylor expansion of 2.0 in k 16.249 * [backup-simplify]: Simplify 2.0 into 2.0 16.249 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.249 * [taylor]: Taking taylor expansion of PI in k 16.249 * [backup-simplify]: Simplify PI into PI 16.249 * [taylor]: Taking taylor expansion of n in k 16.249 * [backup-simplify]: Simplify n into n 16.249 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.249 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.249 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.249 * [backup-simplify]: Simplify (- 1) into -1 16.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.250 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.250 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.250 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 16.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.250 * [taylor]: Taking taylor expansion of 0.5 in n 16.250 * [backup-simplify]: Simplify 0.5 into 0.5 16.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.250 * [taylor]: Taking taylor expansion of 1.0 in n 16.250 * [backup-simplify]: Simplify 1.0 into 1.0 16.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.250 * [taylor]: Taking taylor expansion of k in n 16.250 * [backup-simplify]: Simplify k into k 16.250 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.250 * [taylor]: Taking taylor expansion of 2.0 in n 16.250 * [backup-simplify]: Simplify 2.0 into 2.0 16.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.251 * [taylor]: Taking taylor expansion of PI in n 16.251 * [backup-simplify]: Simplify PI into PI 16.251 * [taylor]: Taking taylor expansion of n in n 16.251 * [backup-simplify]: Simplify 0 into 0 16.251 * [backup-simplify]: Simplify 1 into 1 16.251 * [backup-simplify]: Simplify (/ PI 1) into PI 16.251 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.252 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.252 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.252 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.252 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.253 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.254 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.254 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.255 * [taylor]: Taking taylor expansion of 0.5 in n 16.255 * [backup-simplify]: Simplify 0.5 into 0.5 16.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.255 * [taylor]: Taking taylor expansion of 1.0 in n 16.255 * [backup-simplify]: Simplify 1.0 into 1.0 16.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.255 * [taylor]: Taking taylor expansion of k in n 16.255 * [backup-simplify]: Simplify k into k 16.255 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.255 * [taylor]: Taking taylor expansion of 2.0 in n 16.255 * [backup-simplify]: Simplify 2.0 into 2.0 16.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.255 * [taylor]: Taking taylor expansion of PI in n 16.255 * [backup-simplify]: Simplify PI into PI 16.255 * [taylor]: Taking taylor expansion of n in n 16.255 * [backup-simplify]: Simplify 0 into 0 16.255 * [backup-simplify]: Simplify 1 into 1 16.255 * [backup-simplify]: Simplify (/ PI 1) into PI 16.256 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.256 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.256 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.256 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.256 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.259 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.260 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.260 * [taylor]: Taking taylor expansion of 0.5 in k 16.260 * [backup-simplify]: Simplify 0.5 into 0.5 16.260 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.260 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.260 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.260 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.260 * [taylor]: Taking taylor expansion of 2.0 in k 16.261 * [backup-simplify]: Simplify 2.0 into 2.0 16.261 * [taylor]: Taking taylor expansion of PI in k 16.261 * [backup-simplify]: Simplify PI into PI 16.261 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.262 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.262 * [taylor]: Taking taylor expansion of (log n) in k 16.262 * [taylor]: Taking taylor expansion of n in k 16.262 * [backup-simplify]: Simplify n into n 16.262 * [backup-simplify]: Simplify (log n) into (log n) 16.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.262 * [taylor]: Taking taylor expansion of 1.0 in k 16.262 * [backup-simplify]: Simplify 1.0 into 1.0 16.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.263 * [taylor]: Taking taylor expansion of k in k 16.263 * [backup-simplify]: Simplify 0 into 0 16.263 * [backup-simplify]: Simplify 1 into 1 16.263 * [backup-simplify]: Simplify (/ 1 1) into 1 16.263 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.265 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.265 * [backup-simplify]: Simplify (- 1) into -1 16.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.267 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.268 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.269 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.270 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.275 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.275 * [backup-simplify]: Simplify (- 0) into 0 16.276 * [backup-simplify]: Simplify (+ 0 0) into 0 16.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.278 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.278 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.280 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.280 * [taylor]: Taking taylor expansion of 0 in k 16.280 * [backup-simplify]: Simplify 0 into 0 16.280 * [backup-simplify]: Simplify 0 into 0 16.280 * [backup-simplify]: Simplify 0 into 0 16.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.281 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.283 * [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 16.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.284 * [backup-simplify]: Simplify (- 0) into 0 16.284 * [backup-simplify]: Simplify (+ 0 0) into 0 16.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.287 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.296 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.296 * [taylor]: Taking taylor expansion of 0 in k 16.296 * [backup-simplify]: Simplify 0 into 0 16.296 * [backup-simplify]: Simplify 0 into 0 16.296 * [backup-simplify]: Simplify 0 into 0 16.296 * [backup-simplify]: Simplify 0 into 0 16.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.298 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.301 * [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 16.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.302 * [backup-simplify]: Simplify (- 0) into 0 16.302 * [backup-simplify]: Simplify (+ 0 0) into 0 16.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.305 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.306 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.306 * [taylor]: Taking taylor expansion of 0 in k 16.306 * [backup-simplify]: Simplify 0 into 0 16.307 * [backup-simplify]: Simplify 0 into 0 16.307 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 16.308 * [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))) 16.308 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.308 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.308 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.308 * [taylor]: Taking taylor expansion of 0.5 in k 16.308 * [backup-simplify]: Simplify 0.5 into 0.5 16.308 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.308 * [taylor]: Taking taylor expansion of k in k 16.308 * [backup-simplify]: Simplify 0 into 0 16.308 * [backup-simplify]: Simplify 1 into 1 16.308 * [backup-simplify]: Simplify (/ 1 1) into 1 16.308 * [taylor]: Taking taylor expansion of 1.0 in k 16.308 * [backup-simplify]: Simplify 1.0 into 1.0 16.308 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.308 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.308 * [taylor]: Taking taylor expansion of -2.0 in k 16.308 * [backup-simplify]: Simplify -2.0 into -2.0 16.309 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.309 * [taylor]: Taking taylor expansion of PI in k 16.309 * [backup-simplify]: Simplify PI into PI 16.309 * [taylor]: Taking taylor expansion of n in k 16.309 * [backup-simplify]: Simplify n into n 16.309 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.309 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.309 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.309 * [backup-simplify]: Simplify (+ 1 0) into 1 16.309 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.309 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 16.310 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 16.310 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.310 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.310 * [taylor]: Taking taylor expansion of 0.5 in n 16.310 * [backup-simplify]: Simplify 0.5 into 0.5 16.310 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.310 * [taylor]: Taking taylor expansion of k in n 16.310 * [backup-simplify]: Simplify k into k 16.310 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.310 * [taylor]: Taking taylor expansion of 1.0 in n 16.310 * [backup-simplify]: Simplify 1.0 into 1.0 16.310 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.310 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.310 * [taylor]: Taking taylor expansion of -2.0 in n 16.310 * [backup-simplify]: Simplify -2.0 into -2.0 16.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.310 * [taylor]: Taking taylor expansion of PI in n 16.310 * [backup-simplify]: Simplify PI into PI 16.310 * [taylor]: Taking taylor expansion of n in n 16.310 * [backup-simplify]: Simplify 0 into 0 16.310 * [backup-simplify]: Simplify 1 into 1 16.310 * [backup-simplify]: Simplify (/ PI 1) into PI 16.311 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.311 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.311 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.311 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.313 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.314 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.314 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.314 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.314 * [taylor]: Taking taylor expansion of 0.5 in n 16.314 * [backup-simplify]: Simplify 0.5 into 0.5 16.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.314 * [taylor]: Taking taylor expansion of k in n 16.314 * [backup-simplify]: Simplify k into k 16.314 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.314 * [taylor]: Taking taylor expansion of 1.0 in n 16.314 * [backup-simplify]: Simplify 1.0 into 1.0 16.314 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.314 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.314 * [taylor]: Taking taylor expansion of -2.0 in n 16.315 * [backup-simplify]: Simplify -2.0 into -2.0 16.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.315 * [taylor]: Taking taylor expansion of PI in n 16.315 * [backup-simplify]: Simplify PI into PI 16.315 * [taylor]: Taking taylor expansion of n in n 16.315 * [backup-simplify]: Simplify 0 into 0 16.315 * [backup-simplify]: Simplify 1 into 1 16.315 * [backup-simplify]: Simplify (/ PI 1) into PI 16.315 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.316 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.316 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.316 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.318 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 16.318 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 16.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 16.319 * [taylor]: Taking taylor expansion of 0.5 in k 16.319 * [backup-simplify]: Simplify 0.5 into 0.5 16.319 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 16.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.319 * [taylor]: Taking taylor expansion of k in k 16.319 * [backup-simplify]: Simplify 0 into 0 16.319 * [backup-simplify]: Simplify 1 into 1 16.319 * [backup-simplify]: Simplify (/ 1 1) into 1 16.319 * [taylor]: Taking taylor expansion of 1.0 in k 16.319 * [backup-simplify]: Simplify 1.0 into 1.0 16.319 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.319 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.319 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.319 * [taylor]: Taking taylor expansion of -2.0 in k 16.319 * [backup-simplify]: Simplify -2.0 into -2.0 16.319 * [taylor]: Taking taylor expansion of PI in k 16.319 * [backup-simplify]: Simplify PI into PI 16.319 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.320 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.320 * [taylor]: Taking taylor expansion of (log n) in k 16.320 * [taylor]: Taking taylor expansion of n in k 16.320 * [backup-simplify]: Simplify n into n 16.320 * [backup-simplify]: Simplify (log n) into (log n) 16.320 * [backup-simplify]: Simplify (+ 1 0) into 1 16.320 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.321 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.322 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 16.323 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 16.323 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.324 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 16.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.325 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.327 * [backup-simplify]: Simplify (+ 0 0) into 0 16.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.328 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.329 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.330 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.330 * [taylor]: Taking taylor expansion of 0 in k 16.330 * [backup-simplify]: Simplify 0 into 0 16.330 * [backup-simplify]: Simplify 0 into 0 16.330 * [backup-simplify]: Simplify 0 into 0 16.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.331 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.333 * [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 16.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.334 * [backup-simplify]: Simplify (+ 0 0) into 0 16.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.336 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.338 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.338 * [taylor]: Taking taylor expansion of 0 in k 16.338 * [backup-simplify]: Simplify 0 into 0 16.338 * [backup-simplify]: Simplify 0 into 0 16.338 * [backup-simplify]: Simplify 0 into 0 16.338 * [backup-simplify]: Simplify 0 into 0 16.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.339 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.343 * [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 16.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.343 * [backup-simplify]: Simplify (+ 0 0) into 0 16.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.346 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.348 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.348 * [taylor]: Taking taylor expansion of 0 in k 16.348 * [backup-simplify]: Simplify 0 into 0 16.348 * [backup-simplify]: Simplify 0 into 0 16.349 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 16.349 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 16.350 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 16.350 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 16.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.350 * [taylor]: Taking taylor expansion of 2.0 in n 16.350 * [backup-simplify]: Simplify 2.0 into 2.0 16.350 * [taylor]: Taking taylor expansion of (* n PI) in n 16.350 * [taylor]: Taking taylor expansion of n in n 16.350 * [backup-simplify]: Simplify 0 into 0 16.350 * [backup-simplify]: Simplify 1 into 1 16.350 * [taylor]: Taking taylor expansion of PI in n 16.350 * [backup-simplify]: Simplify PI into PI 16.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.350 * [taylor]: Taking taylor expansion of 2.0 in n 16.350 * [backup-simplify]: Simplify 2.0 into 2.0 16.350 * [taylor]: Taking taylor expansion of (* n PI) in n 16.350 * [taylor]: Taking taylor expansion of n in n 16.350 * [backup-simplify]: Simplify 0 into 0 16.350 * [backup-simplify]: Simplify 1 into 1 16.350 * [taylor]: Taking taylor expansion of PI in n 16.350 * [backup-simplify]: Simplify PI into PI 16.351 * [backup-simplify]: Simplify (* 0 PI) into 0 16.351 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.351 * [backup-simplify]: Simplify 0 into 0 16.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.354 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.355 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.357 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.357 * [backup-simplify]: Simplify 0 into 0 16.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.359 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.359 * [backup-simplify]: Simplify 0 into 0 16.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.362 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 16.362 * [backup-simplify]: Simplify 0 into 0 16.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.366 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 16.366 * [backup-simplify]: Simplify 0 into 0 16.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.369 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 16.369 * [backup-simplify]: Simplify 0 into 0 16.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 16.374 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 16.374 * [backup-simplify]: Simplify 0 into 0 16.374 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 16.375 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 16.375 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 16.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.375 * [taylor]: Taking taylor expansion of 2.0 in n 16.375 * [backup-simplify]: Simplify 2.0 into 2.0 16.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.375 * [taylor]: Taking taylor expansion of PI in n 16.375 * [backup-simplify]: Simplify PI into PI 16.375 * [taylor]: Taking taylor expansion of n in n 16.375 * [backup-simplify]: Simplify 0 into 0 16.375 * [backup-simplify]: Simplify 1 into 1 16.376 * [backup-simplify]: Simplify (/ PI 1) into PI 16.376 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.376 * [taylor]: Taking taylor expansion of 2.0 in n 16.376 * [backup-simplify]: Simplify 2.0 into 2.0 16.376 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.376 * [taylor]: Taking taylor expansion of PI in n 16.376 * [backup-simplify]: Simplify PI into PI 16.376 * [taylor]: Taking taylor expansion of n in n 16.376 * [backup-simplify]: Simplify 0 into 0 16.376 * [backup-simplify]: Simplify 1 into 1 16.377 * [backup-simplify]: Simplify (/ PI 1) into PI 16.377 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.378 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.380 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.380 * [backup-simplify]: Simplify 0 into 0 16.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.382 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.382 * [backup-simplify]: Simplify 0 into 0 16.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.384 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.384 * [backup-simplify]: Simplify 0 into 0 16.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.386 * [backup-simplify]: Simplify 0 into 0 16.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.389 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.389 * [backup-simplify]: Simplify 0 into 0 16.390 * [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 16.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.392 * [backup-simplify]: Simplify 0 into 0 16.393 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 16.393 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 16.393 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 16.393 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.393 * [taylor]: Taking taylor expansion of -2.0 in n 16.393 * [backup-simplify]: Simplify -2.0 into -2.0 16.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.393 * [taylor]: Taking taylor expansion of PI in n 16.394 * [backup-simplify]: Simplify PI into PI 16.394 * [taylor]: Taking taylor expansion of n in n 16.394 * [backup-simplify]: Simplify 0 into 0 16.394 * [backup-simplify]: Simplify 1 into 1 16.394 * [backup-simplify]: Simplify (/ PI 1) into PI 16.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.394 * [taylor]: Taking taylor expansion of -2.0 in n 16.394 * [backup-simplify]: Simplify -2.0 into -2.0 16.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.394 * [taylor]: Taking taylor expansion of PI in n 16.394 * [backup-simplify]: Simplify PI into PI 16.394 * [taylor]: Taking taylor expansion of n in n 16.394 * [backup-simplify]: Simplify 0 into 0 16.394 * [backup-simplify]: Simplify 1 into 1 16.395 * [backup-simplify]: Simplify (/ PI 1) into PI 16.395 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.396 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.397 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.397 * [backup-simplify]: Simplify 0 into 0 16.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.399 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.399 * [backup-simplify]: Simplify 0 into 0 16.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.400 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.400 * [backup-simplify]: Simplify 0 into 0 16.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.401 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.401 * [backup-simplify]: Simplify 0 into 0 16.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.403 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.403 * [backup-simplify]: Simplify 0 into 0 16.404 * [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 16.405 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.405 * [backup-simplify]: Simplify 0 into 0 16.405 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 16.405 * * * * [progress]: [ 3 / 3 ] generating series at (2) 16.406 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 16.406 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 16.406 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 16.406 * [taylor]: Taking taylor expansion of 1.0 in k 16.406 * [backup-simplify]: Simplify 1.0 into 1.0 16.406 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 16.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.406 * [taylor]: Taking taylor expansion of 0.5 in k 16.406 * [backup-simplify]: Simplify 0.5 into 0.5 16.406 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.406 * [taylor]: Taking taylor expansion of 1.0 in k 16.406 * [backup-simplify]: Simplify 1.0 into 1.0 16.406 * [taylor]: Taking taylor expansion of k in k 16.406 * [backup-simplify]: Simplify 0 into 0 16.406 * [backup-simplify]: Simplify 1 into 1 16.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.406 * [taylor]: Taking taylor expansion of 2.0 in k 16.406 * [backup-simplify]: Simplify 2.0 into 2.0 16.406 * [taylor]: Taking taylor expansion of (* n PI) in k 16.406 * [taylor]: Taking taylor expansion of n in k 16.406 * [backup-simplify]: Simplify n into n 16.406 * [taylor]: Taking taylor expansion of PI in k 16.406 * [backup-simplify]: Simplify PI into PI 16.406 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.406 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.406 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.406 * [backup-simplify]: Simplify (- 0) into 0 16.407 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.407 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.407 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.407 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.407 * [taylor]: Taking taylor expansion of k in k 16.407 * [backup-simplify]: Simplify 0 into 0 16.407 * [backup-simplify]: Simplify 1 into 1 16.408 * [backup-simplify]: Simplify (/ 1 1) into 1 16.408 * [backup-simplify]: Simplify (sqrt 0) into 0 16.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.681 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 16.681 * [taylor]: Taking taylor expansion of 1.0 in n 16.681 * [backup-simplify]: Simplify 1.0 into 1.0 16.681 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 16.681 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.682 * [taylor]: Taking taylor expansion of 0.5 in n 16.682 * [backup-simplify]: Simplify 0.5 into 0.5 16.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.682 * [taylor]: Taking taylor expansion of 1.0 in n 16.682 * [backup-simplify]: Simplify 1.0 into 1.0 16.682 * [taylor]: Taking taylor expansion of k in n 16.682 * [backup-simplify]: Simplify k into k 16.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.682 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.682 * [taylor]: Taking taylor expansion of 2.0 in n 16.682 * [backup-simplify]: Simplify 2.0 into 2.0 16.682 * [taylor]: Taking taylor expansion of (* n PI) in n 16.682 * [taylor]: Taking taylor expansion of n in n 16.682 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify 1 into 1 16.682 * [taylor]: Taking taylor expansion of PI in n 16.682 * [backup-simplify]: Simplify PI into PI 16.683 * [backup-simplify]: Simplify (* 0 PI) into 0 16.683 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.685 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.686 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.687 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.687 * [backup-simplify]: Simplify (- k) into (- k) 16.687 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.688 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.689 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.690 * [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)))) 16.692 * [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))))) 16.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.692 * [taylor]: Taking taylor expansion of k in n 16.692 * [backup-simplify]: Simplify k into k 16.692 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.692 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.692 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 16.692 * [taylor]: Taking taylor expansion of 1.0 in n 16.692 * [backup-simplify]: Simplify 1.0 into 1.0 16.692 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 16.692 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.692 * [taylor]: Taking taylor expansion of 0.5 in n 16.692 * [backup-simplify]: Simplify 0.5 into 0.5 16.692 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.692 * [taylor]: Taking taylor expansion of 1.0 in n 16.693 * [backup-simplify]: Simplify 1.0 into 1.0 16.693 * [taylor]: Taking taylor expansion of k in n 16.693 * [backup-simplify]: Simplify k into k 16.693 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.693 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.693 * [taylor]: Taking taylor expansion of 2.0 in n 16.693 * [backup-simplify]: Simplify 2.0 into 2.0 16.693 * [taylor]: Taking taylor expansion of (* n PI) in n 16.693 * [taylor]: Taking taylor expansion of n in n 16.693 * [backup-simplify]: Simplify 0 into 0 16.693 * [backup-simplify]: Simplify 1 into 1 16.693 * [taylor]: Taking taylor expansion of PI in n 16.693 * [backup-simplify]: Simplify PI into PI 16.693 * [backup-simplify]: Simplify (* 0 PI) into 0 16.694 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.697 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.698 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.698 * [backup-simplify]: Simplify (- k) into (- k) 16.698 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.698 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.700 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.701 * [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)))) 16.702 * [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))))) 16.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 16.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.703 * [taylor]: Taking taylor expansion of k in n 16.703 * [backup-simplify]: Simplify k into k 16.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.703 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 16.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 16.704 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) 16.706 * [backup-simplify]: Simplify (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) into (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) 16.706 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 16.706 * [taylor]: Taking taylor expansion of 1.0 in k 16.706 * [backup-simplify]: Simplify 1.0 into 1.0 16.706 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 16.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.706 * [taylor]: Taking taylor expansion of k in k 16.706 * [backup-simplify]: Simplify 0 into 0 16.706 * [backup-simplify]: Simplify 1 into 1 16.707 * [backup-simplify]: Simplify (/ 1 1) into 1 16.707 * [backup-simplify]: Simplify (sqrt 0) into 0 16.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.709 * [taylor]: Taking taylor expansion of 0.5 in k 16.709 * [backup-simplify]: Simplify 0.5 into 0.5 16.709 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.709 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.709 * [taylor]: Taking taylor expansion of 1.0 in k 16.709 * [backup-simplify]: Simplify 1.0 into 1.0 16.709 * [taylor]: Taking taylor expansion of k in k 16.709 * [backup-simplify]: Simplify 0 into 0 16.709 * [backup-simplify]: Simplify 1 into 1 16.709 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.709 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.709 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.709 * [taylor]: Taking taylor expansion of 2.0 in k 16.709 * [backup-simplify]: Simplify 2.0 into 2.0 16.709 * [taylor]: Taking taylor expansion of PI in k 16.709 * [backup-simplify]: Simplify PI into PI 16.710 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.711 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.711 * [taylor]: Taking taylor expansion of (log n) in k 16.711 * [taylor]: Taking taylor expansion of n in k 16.711 * [backup-simplify]: Simplify n into n 16.711 * [backup-simplify]: Simplify (log n) into (log n) 16.712 * [backup-simplify]: Simplify (- 0) into 0 16.712 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.713 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.715 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.716 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.717 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.718 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) into 0 16.719 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.719 * [backup-simplify]: Simplify 0 into 0 16.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.721 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.723 * [backup-simplify]: Simplify (- 0) into 0 16.724 * [backup-simplify]: Simplify (+ 0 0) into 0 16.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.727 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.729 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.731 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 16.733 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))) into 0 16.733 * [taylor]: Taking taylor expansion of 0 in k 16.733 * [backup-simplify]: Simplify 0 into 0 16.734 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.737 * [backup-simplify]: Simplify (+ 0 0) into 0 16.737 * [backup-simplify]: Simplify (- 1) into -1 16.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.739 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.742 * [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)))) 16.745 * [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)))))) 16.750 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.752 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.753 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 16.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.756 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.761 * [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 16.761 * [backup-simplify]: Simplify (- 0) into 0 16.761 * [backup-simplify]: Simplify (+ 0 0) into 0 16.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.764 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.765 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.768 * [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 16.770 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 16.772 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))))) into 0 16.772 * [taylor]: Taking taylor expansion of 0 in k 16.772 * [backup-simplify]: Simplify 0 into 0 16.772 * [backup-simplify]: Simplify 0 into 0 16.773 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.777 * [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 16.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.779 * [backup-simplify]: Simplify (+ 0 0) into 0 16.780 * [backup-simplify]: Simplify (- 0) into 0 16.780 * [backup-simplify]: Simplify (+ 0 0) into 0 16.782 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.785 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.789 * [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 (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.793 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.804 * [backup-simplify]: Simplify (+ (* 0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) 16.812 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) 16.817 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) 16.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 16.820 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.824 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 16.831 * [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 16.831 * [backup-simplify]: Simplify (- 0) into 0 16.832 * [backup-simplify]: Simplify (+ 0 0) into 0 16.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 k))))) into 0 16.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.837 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.848 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 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 16.850 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 16.852 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))))))) into 0 16.853 * [taylor]: Taking taylor expansion of 0 in k 16.853 * [backup-simplify]: Simplify 0 into 0 16.853 * [backup-simplify]: Simplify 0 into 0 16.853 * [backup-simplify]: Simplify 0 into 0 16.854 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.860 * [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 16.863 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 16.864 * [backup-simplify]: Simplify (+ 0 0) into 0 16.864 * [backup-simplify]: Simplify (- 0) into 0 16.864 * [backup-simplify]: Simplify (+ 0 0) into 0 16.867 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))))) into 0 16.877 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3))))))) 16.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 16.894 * [backup-simplify]: Simplify (+ (* 0 (* -1 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.020833333333333332 (pow (log (* 2.0 PI)) 3)) (+ (* 0.0625 (* (log (* 2.0 PI)) (pow (log n) 2))) (+ (* 0.0625 (* (pow (log (* 2.0 PI)) 2) (log n))) (* 0.020833333333333332 (pow (log n) 3)))))))) (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n))))))) (+ (* +nan.0 (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))) 16.907 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) 16.916 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) 16.929 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (- (* +nan.0 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) into (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) 16.929 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 16.929 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 16.929 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 16.929 * [taylor]: Taking taylor expansion of 1.0 in k 16.930 * [backup-simplify]: Simplify 1.0 into 1.0 16.930 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 16.930 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.930 * [taylor]: Taking taylor expansion of k in k 16.930 * [backup-simplify]: Simplify 0 into 0 16.930 * [backup-simplify]: Simplify 1 into 1 16.930 * [backup-simplify]: Simplify (sqrt 0) into 0 16.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.931 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.931 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.931 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.931 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.931 * [taylor]: Taking taylor expansion of 0.5 in k 16.931 * [backup-simplify]: Simplify 0.5 into 0.5 16.931 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.931 * [taylor]: Taking taylor expansion of 1.0 in k 16.931 * [backup-simplify]: Simplify 1.0 into 1.0 16.931 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.931 * [taylor]: Taking taylor expansion of k in k 16.931 * [backup-simplify]: Simplify 0 into 0 16.931 * [backup-simplify]: Simplify 1 into 1 16.931 * [backup-simplify]: Simplify (/ 1 1) into 1 16.931 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.931 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.931 * [taylor]: Taking taylor expansion of 2.0 in k 16.931 * [backup-simplify]: Simplify 2.0 into 2.0 16.931 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.931 * [taylor]: Taking taylor expansion of PI in k 16.931 * [backup-simplify]: Simplify PI into PI 16.931 * [taylor]: Taking taylor expansion of n in k 16.932 * [backup-simplify]: Simplify n into n 16.932 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.932 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.932 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.932 * [backup-simplify]: Simplify (- 1) into -1 16.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.933 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.933 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.933 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 16.933 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 16.933 * [taylor]: Taking taylor expansion of 1.0 in n 16.933 * [backup-simplify]: Simplify 1.0 into 1.0 16.933 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 16.933 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.933 * [taylor]: Taking taylor expansion of k in n 16.933 * [backup-simplify]: Simplify k into k 16.933 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.933 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.933 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.933 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.933 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.933 * [taylor]: Taking taylor expansion of 0.5 in n 16.933 * [backup-simplify]: Simplify 0.5 into 0.5 16.933 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.933 * [taylor]: Taking taylor expansion of 1.0 in n 16.933 * [backup-simplify]: Simplify 1.0 into 1.0 16.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.933 * [taylor]: Taking taylor expansion of k in n 16.933 * [backup-simplify]: Simplify k into k 16.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.933 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.933 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.934 * [taylor]: Taking taylor expansion of 2.0 in n 16.934 * [backup-simplify]: Simplify 2.0 into 2.0 16.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.934 * [taylor]: Taking taylor expansion of PI in n 16.934 * [backup-simplify]: Simplify PI into PI 16.934 * [taylor]: Taking taylor expansion of n in n 16.934 * [backup-simplify]: Simplify 0 into 0 16.934 * [backup-simplify]: Simplify 1 into 1 16.934 * [backup-simplify]: Simplify (/ PI 1) into PI 16.934 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.935 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.935 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.935 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.935 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.937 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.938 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.938 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 16.938 * [taylor]: Taking taylor expansion of 1.0 in n 16.938 * [backup-simplify]: Simplify 1.0 into 1.0 16.938 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 16.938 * [taylor]: Taking taylor expansion of (sqrt k) in n 16.938 * [taylor]: Taking taylor expansion of k in n 16.938 * [backup-simplify]: Simplify k into k 16.938 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 16.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 16.938 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.938 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.938 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.938 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.939 * [taylor]: Taking taylor expansion of 0.5 in n 16.939 * [backup-simplify]: Simplify 0.5 into 0.5 16.939 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.939 * [taylor]: Taking taylor expansion of 1.0 in n 16.939 * [backup-simplify]: Simplify 1.0 into 1.0 16.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.939 * [taylor]: Taking taylor expansion of k in n 16.939 * [backup-simplify]: Simplify k into k 16.939 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.939 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.939 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.939 * [taylor]: Taking taylor expansion of 2.0 in n 16.939 * [backup-simplify]: Simplify 2.0 into 2.0 16.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.939 * [taylor]: Taking taylor expansion of PI in n 16.939 * [backup-simplify]: Simplify PI into PI 16.939 * [taylor]: Taking taylor expansion of n in n 16.939 * [backup-simplify]: Simplify 0 into 0 16.939 * [backup-simplify]: Simplify 1 into 1 16.940 * [backup-simplify]: Simplify (/ PI 1) into PI 16.940 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.941 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.941 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.942 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.942 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.944 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 16.946 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.947 * [backup-simplify]: Simplify (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 16.949 * [backup-simplify]: Simplify (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 16.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 16.949 * [taylor]: Taking taylor expansion of 1.0 in k 16.949 * [backup-simplify]: Simplify 1.0 into 1.0 16.949 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 16.949 * [taylor]: Taking taylor expansion of (sqrt k) in k 16.949 * [taylor]: Taking taylor expansion of k in k 16.949 * [backup-simplify]: Simplify 0 into 0 16.949 * [backup-simplify]: Simplify 1 into 1 16.950 * [backup-simplify]: Simplify (sqrt 0) into 0 16.951 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 16.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 16.951 * [taylor]: Taking taylor expansion of 0.5 in k 16.951 * [backup-simplify]: Simplify 0.5 into 0.5 16.951 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 16.951 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.952 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.952 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.952 * [taylor]: Taking taylor expansion of 2.0 in k 16.952 * [backup-simplify]: Simplify 2.0 into 2.0 16.952 * [taylor]: Taking taylor expansion of PI in k 16.952 * [backup-simplify]: Simplify PI into PI 16.952 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.954 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.954 * [taylor]: Taking taylor expansion of (log n) in k 16.954 * [taylor]: Taking taylor expansion of n in k 16.954 * [backup-simplify]: Simplify n into n 16.954 * [backup-simplify]: Simplify (log n) into (log n) 16.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.954 * [taylor]: Taking taylor expansion of 1.0 in k 16.954 * [backup-simplify]: Simplify 1.0 into 1.0 16.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.954 * [taylor]: Taking taylor expansion of k in k 16.954 * [backup-simplify]: Simplify 0 into 0 16.954 * [backup-simplify]: Simplify 1 into 1 16.954 * [backup-simplify]: Simplify (/ 1 1) into 1 16.954 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.956 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.956 * [backup-simplify]: Simplify (- 1) into -1 16.956 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.958 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.959 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.960 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 16.968 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into 0 16.968 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.968 * [backup-simplify]: Simplify 0 into 0 16.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.973 * [backup-simplify]: Simplify (- 0) into 0 16.973 * [backup-simplify]: Simplify (+ 0 0) into 0 16.974 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.975 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.976 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.979 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.980 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 16.982 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 16.982 * [taylor]: Taking taylor expansion of 0 in k 16.982 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify 0 into 0 16.984 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 16.986 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 16.987 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 16.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.990 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.993 * [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 16.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.994 * [backup-simplify]: Simplify (- 0) into 0 16.995 * [backup-simplify]: Simplify (+ 0 0) into 0 16.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.999 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 17.002 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 17.005 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into 0 17.007 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 17.007 * [taylor]: Taking taylor expansion of 0 in k 17.007 * [backup-simplify]: Simplify 0 into 0 17.007 * [backup-simplify]: Simplify 0 into 0 17.007 * [backup-simplify]: Simplify 0 into 0 17.010 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 17.015 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 17.017 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 17.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.026 * [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 17.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.027 * [backup-simplify]: Simplify (- 0) into 0 17.027 * [backup-simplify]: Simplify (+ 0 0) into 0 17.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 17.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 17.033 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 17.036 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 17.039 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into 0 17.042 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))))) into 0 17.042 * [taylor]: Taking taylor expansion of 0 in k 17.042 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify 0 into 0 17.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 17.050 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 17.051 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 17.054 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 17.054 * [backup-simplify]: Simplify (/ (* 1.0 (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 17.054 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 17.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 17.054 * [taylor]: Taking taylor expansion of 1.0 in k 17.054 * [backup-simplify]: Simplify 1.0 into 1.0 17.055 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 17.055 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 17.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 17.055 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 17.055 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.055 * [taylor]: Taking taylor expansion of 0.5 in k 17.055 * [backup-simplify]: Simplify 0.5 into 0.5 17.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.055 * [taylor]: Taking taylor expansion of k in k 17.055 * [backup-simplify]: Simplify 0 into 0 17.055 * [backup-simplify]: Simplify 1 into 1 17.055 * [backup-simplify]: Simplify (/ 1 1) into 1 17.055 * [taylor]: Taking taylor expansion of 1.0 in k 17.055 * [backup-simplify]: Simplify 1.0 into 1.0 17.055 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 17.055 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 17.055 * [taylor]: Taking taylor expansion of -2.0 in k 17.055 * [backup-simplify]: Simplify -2.0 into -2.0 17.055 * [taylor]: Taking taylor expansion of (/ PI n) in k 17.055 * [taylor]: Taking taylor expansion of PI in k 17.055 * [backup-simplify]: Simplify PI into PI 17.055 * [taylor]: Taking taylor expansion of n in k 17.055 * [backup-simplify]: Simplify n into n 17.055 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 17.055 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 17.055 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 17.056 * [backup-simplify]: Simplify (+ 1 0) into 1 17.056 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.056 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 17.056 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 17.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.056 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.056 * [taylor]: Taking taylor expansion of -1 in k 17.056 * [backup-simplify]: Simplify -1 into -1 17.056 * [taylor]: Taking taylor expansion of k in k 17.056 * [backup-simplify]: Simplify 0 into 0 17.056 * [backup-simplify]: Simplify 1 into 1 17.057 * [backup-simplify]: Simplify (/ -1 1) into -1 17.057 * [backup-simplify]: Simplify (sqrt 0) into 0 17.058 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.058 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 17.058 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 17.058 * [taylor]: Taking taylor expansion of 1.0 in n 17.058 * [backup-simplify]: Simplify 1.0 into 1.0 17.058 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 17.058 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 17.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 17.058 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.058 * [taylor]: Taking taylor expansion of 0.5 in n 17.058 * [backup-simplify]: Simplify 0.5 into 0.5 17.058 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.058 * [taylor]: Taking taylor expansion of k in n 17.058 * [backup-simplify]: Simplify k into k 17.058 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.058 * [taylor]: Taking taylor expansion of 1.0 in n 17.058 * [backup-simplify]: Simplify 1.0 into 1.0 17.058 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 17.058 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.058 * [taylor]: Taking taylor expansion of -2.0 in n 17.058 * [backup-simplify]: Simplify -2.0 into -2.0 17.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.058 * [taylor]: Taking taylor expansion of PI in n 17.058 * [backup-simplify]: Simplify PI into PI 17.058 * [taylor]: Taking taylor expansion of n in n 17.058 * [backup-simplify]: Simplify 0 into 0 17.058 * [backup-simplify]: Simplify 1 into 1 17.059 * [backup-simplify]: Simplify (/ PI 1) into PI 17.059 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.060 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.060 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.060 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.061 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 17.062 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 17.062 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 17.062 * [taylor]: Taking taylor expansion of (/ -1 k) in n 17.062 * [taylor]: Taking taylor expansion of -1 in n 17.062 * [backup-simplify]: Simplify -1 into -1 17.062 * [taylor]: Taking taylor expansion of k in n 17.062 * [backup-simplify]: Simplify k into k 17.062 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 17.062 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 17.063 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 17.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 17.063 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 17.063 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 17.063 * [taylor]: Taking taylor expansion of 1.0 in n 17.063 * [backup-simplify]: Simplify 1.0 into 1.0 17.063 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 17.064 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 17.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 17.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 17.064 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 17.064 * [taylor]: Taking taylor expansion of 0.5 in n 17.064 * [backup-simplify]: Simplify 0.5 into 0.5 17.064 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 17.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n 17.064 * [taylor]: Taking taylor expansion of k in n 17.064 * [backup-simplify]: Simplify k into k 17.064 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 17.064 * [taylor]: Taking taylor expansion of 1.0 in n 17.064 * [backup-simplify]: Simplify 1.0 into 1.0 17.064 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 17.064 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 17.064 * [taylor]: Taking taylor expansion of -2.0 in n 17.064 * [backup-simplify]: Simplify -2.0 into -2.0 17.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 17.064 * [taylor]: Taking taylor expansion of PI in n 17.064 * [backup-simplify]: Simplify PI into PI 17.064 * [taylor]: Taking taylor expansion of n in n 17.064 * [backup-simplify]: Simplify 0 into 0 17.064 * [backup-simplify]: Simplify 1 into 1 17.064 * [backup-simplify]: Simplify (/ PI 1) into PI 17.065 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.065 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.065 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 17.065 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 17.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.067 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 17.068 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 17.068 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 17.068 * [taylor]: Taking taylor expansion of (/ -1 k) in n 17.068 * [taylor]: Taking taylor expansion of -1 in n 17.068 * [backup-simplify]: Simplify -1 into -1 17.068 * [taylor]: Taking taylor expansion of k in n 17.068 * [backup-simplify]: Simplify k into k 17.068 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 17.068 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 17.068 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 17.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 17.069 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 17.070 * [backup-simplify]: Simplify (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) into (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) 17.070 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 17.070 * [taylor]: Taking taylor expansion of 1.0 in k 17.070 * [backup-simplify]: Simplify 1.0 into 1.0 17.070 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 17.070 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 17.070 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 17.070 * [taylor]: Taking taylor expansion of 0.5 in k 17.070 * [backup-simplify]: Simplify 0.5 into 0.5 17.070 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 17.070 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.070 * [taylor]: Taking taylor expansion of k in k 17.070 * [backup-simplify]: Simplify 0 into 0 17.070 * [backup-simplify]: Simplify 1 into 1 17.071 * [backup-simplify]: Simplify (/ 1 1) into 1 17.071 * [taylor]: Taking taylor expansion of 1.0 in k 17.071 * [backup-simplify]: Simplify 1.0 into 1.0 17.071 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 17.071 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 17.071 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 17.071 * [taylor]: Taking taylor expansion of -2.0 in k 17.071 * [backup-simplify]: Simplify -2.0 into -2.0 17.071 * [taylor]: Taking taylor expansion of PI in k 17.071 * [backup-simplify]: Simplify PI into PI 17.071 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 17.072 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 17.072 * [taylor]: Taking taylor expansion of (log n) in k 17.072 * [taylor]: Taking taylor expansion of n in k 17.072 * [backup-simplify]: Simplify n into n 17.072 * [backup-simplify]: Simplify (log n) into (log n) 17.072 * [backup-simplify]: Simplify (+ 1 0) into 1 17.072 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 17.073 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 17.074 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 17.075 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 17.077 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 17.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.077 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.077 * [taylor]: Taking taylor expansion of -1 in k 17.077 * [backup-simplify]: Simplify -1 into -1 17.077 * [taylor]: Taking taylor expansion of k in k 17.077 * [backup-simplify]: Simplify 0 into 0 17.077 * [backup-simplify]: Simplify 1 into 1 17.077 * [backup-simplify]: Simplify (/ -1 1) into -1 17.078 * [backup-simplify]: Simplify (sqrt 0) into 0 17.079 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.080 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 17.082 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 17.083 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 17.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.085 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 17.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 17.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 17.088 * [backup-simplify]: Simplify (+ 0 0) into 0 17.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 17.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.091 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 17.093 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 17.095 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 17.097 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))))) into 0 17.097 * [taylor]: Taking taylor expansion of 0 in k 17.097 * [backup-simplify]: Simplify 0 into 0 17.097 * [backup-simplify]: Simplify 0 into 0 17.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.101 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.104 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 17.113 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 17.115 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 17.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.117 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.121 * [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 17.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.122 * [backup-simplify]: Simplify (+ 0 0) into 0 17.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 17.124 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 17.126 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 17.127 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.127 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 17.128 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 17.129 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 17.131 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))))) into 0 17.131 * [taylor]: Taking taylor expansion of 0 in k 17.131 * [backup-simplify]: Simplify 0 into 0 17.131 * [backup-simplify]: Simplify 0 into 0 17.131 * [backup-simplify]: Simplify 0 into 0 17.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.136 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 17.138 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 17.139 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 17.142 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 17.142 * * * [progress]: simplifying candidates 17.144 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 17.147 * * [simplify]: Extracting # 0 : cost 0 17.147 * * [simplify]: Extracting # 1 : cost 0 17.147 * * [simplify]: Extracting # 2 : cost 0 17.148 * * [simplify]: Extracting # 3 : cost 0 17.148 * * [simplify]: Extracting # 4 : cost 0 17.148 * * [simplify]: Extracting # 5 : cost 0 17.148 * * [simplify]: Extracting # 6 : cost 0 17.149 * * [simplify]: Extracting # 7 : cost 0 17.149 * * [simplify]: Extracting # 8 : cost 0 17.149 * * [simplify]: Extracting # 9 : cost 0 17.150 * * [simplify]: Extracting # 10 : cost 0 17.150 * * [simplify]: Extracting # 11 : cost 0 17.150 * * [simplify]: Extracting # 12 : cost 0 17.151 * * [simplify]: Extracting # 13 : cost 0 17.151 * * [simplify]: Extracting # 14 : cost 0 17.151 * * [simplify]: Extracting # 15 : cost 0 17.152 * * [simplify]: Extracting # 16 : cost 0 17.152 * * [simplify]: Extracting # 17 : cost 0 17.152 * * [simplify]: Extracting # 18 : cost 0 17.153 * * [simplify]: Extracting # 19 : cost 0 17.153 * * [simplify]: Extracting # 20 : cost 0 17.153 * * [simplify]: Extracting # 21 : cost 0 17.154 * * [simplify]: Extracting # 22 : cost 0 17.154 * * [simplify]: Extracting # 23 : cost 0 17.154 * * [simplify]: Extracting # 24 : cost 0 17.155 * * [simplify]: Extracting # 25 : cost 0 17.155 * * [simplify]: Extracting # 26 : cost 0 17.155 * * [simplify]: Extracting # 27 : cost 0 17.156 * * [simplify]: Extracting # 28 : cost 0 17.156 * * [simplify]: Extracting # 29 : cost 0 17.156 * * [simplify]: Extracting # 30 : cost 0 17.157 * * [simplify]: Extracting # 31 : cost 0 17.157 * * [simplify]: Extracting # 32 : cost 0 17.157 * * [simplify]: iteration 0 : 270 enodes (cost 1898 ) 17.282 * * [simplify]: Extracting # 0 : cost 0 17.284 * * [simplify]: Extracting # 1 : cost 0 17.286 * * [simplify]: Extracting # 2 : cost 0 17.288 * * [simplify]: Extracting # 3 : cost 0 17.290 * * [simplify]: Extracting # 4 : cost 0 17.291 * * [simplify]: Extracting # 5 : cost 0 17.293 * * [simplify]: Extracting # 6 : cost 0 17.295 * * [simplify]: Extracting # 7 : cost 0 17.297 * * [simplify]: Extracting # 8 : cost 0 17.299 * * [simplify]: Extracting # 9 : cost 0 17.300 * * [simplify]: Extracting # 10 : cost 0 17.302 * * [simplify]: iteration 1 : 715 enodes (cost 1762 ) 17.661 * * [simplify]: Extracting # 0 : cost 0 17.664 * * [simplify]: Extracting # 1 : cost 0 17.667 * * [simplify]: Extracting # 2 : cost 0 17.671 * * [simplify]: Extracting # 3 : cost 0 17.674 * * [simplify]: Extracting # 4 : cost 0 17.677 * * [simplify]: Extracting # 5 : cost 0 17.683 * * [simplify]: Extracting # 6 : cost 0 17.690 * * [simplify]: iteration 2 : 2431 enodes (cost 1596 ) 18.737 * * [simplify]: Extracting # 0 : cost 0 18.761 * * [simplify]: Extracting # 1 : cost 0 18.769 * * [simplify]: Extracting # 2 : cost 0 18.775 * * [simplify]: Extracting # 3 : cost 0 18.781 * * [simplify]: Extracting # 4 : cost 0 18.788 * * [simplify]: Extracting # 5 : cost 0 18.795 * * [simplify]: iteration done: 5001 enodes (cost 1587 ) 18.796 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 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)))) (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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (pow (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* k (sqrt k))) (/ (pow (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* k (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (fma (- 0.5) (* k (fma (log (* 2.0 PI)) (pow (* 2.0 (* PI n)) 0.5) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) (fma (* 0.125 (pow k 2)) (fma (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))) (fma (* 0.25 (pow k 2)) (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log (* 2.0 PI))) (pow (* (* 2.0 PI) n) 0.5)))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (fma (- (* +nan.0 (pow k 2))) (pow (* 2.0 (* PI n)) 0.5) (- (fma (* (* +nan.0 (pow (* (* 2.0 PI) n) 0.5)) (pow k 2)) (log n) (fma (* k (* +nan.0 (pow (* (* 2.0 PI) n) 0.5))) (log n) (fma (- (* +nan.0 (pow k 2))) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (- (fma (* +nan.0 (pow (* (* 2.0 PI) n) 0.5)) k (fma +nan.0 (* (pow (* (* 2.0 PI) n) 0.5) (* k (log (* 2.0 PI)))) (- (* +nan.0 (- (* (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)) (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)))))) (* (* (* (pow k 2) (log (* 2.0 PI))) (* +nan.0 (pow (* (* 2.0 PI) n) 0.5))) (log n)))))) (* +nan.0 (* (* (pow (* (* 2.0 PI) n) 0.5) (* k (log (* 2.0 PI)))) k)))) (fma (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3))) +nan.0 (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2))))) (fma (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (- +nan.0) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 18.798 * * * [progress]: adding candidates to table 19.240 * [progress]: [Phase 3 of 3] Extracting. 19.240 * * [regime]: Finding splitpoints for: (# # # # # # #) 19.244 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 19.244 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 19.306 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 19.363 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 19.422 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 19.467 * * * [regime]: Found split indices: #