56.851 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.173 * * * [progress]: [2/2] Setting up program. 0.180 * [progress]: [Phase 2 of 3] Improving. 0.181 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.181 * * [simplify]: iteration 0: 13 enodes 0.187 * * [simplify]: iteration 1: 29 enodes 0.198 * * [simplify]: iteration 2: 58 enodes 0.252 * * [simplify]: iteration 3: 114 enodes 0.292 * * [simplify]: iteration 4: 285 enodes 0.440 * * [simplify]: iteration 5: 816 enodes 1.382 * * [simplify]: iteration 6: 2792 enodes 2.422 * * [simplify]: iteration complete: 5003 enodes 2.422 * * [simplify]: Extracting #0: cost 1 inf + 0 2.422 * * [simplify]: Extracting #1: cost 108 inf + 0 2.424 * * [simplify]: Extracting #2: cost 443 inf + 1 2.427 * * [simplify]: Extracting #3: cost 1022 inf + 49 2.434 * * [simplify]: Extracting #4: cost 1321 inf + 10849 2.453 * * [simplify]: Extracting #5: cost 617 inf + 94525 2.554 * * [simplify]: Extracting #6: cost 187 inf + 373026 2.721 * * [simplify]: Extracting #7: cost 0 inf + 567203 2.870 * * [simplify]: Extracting #8: cost 0 inf + 562474 3.020 * * [simplify]: Extracting #9: cost 0 inf + 561804 3.187 * [simplify]: Simplified to: (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) 3.188 * * [progress]: iteration 1 / 4 3.189 * * * [progress]: picking best candidate 3.197 * * * * [pick]: Picked # 3.197 * * * [progress]: localizing error 3.220 * * * [progress]: generating rewritten candidates 3.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.245 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.253 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.268 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.322 * * * [progress]: generating series expansions 3.322 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.323 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.323 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.323 * [taylor]: Taking taylor expansion of 0.5 in k 3.323 * [backup-simplify]: Simplify 0.5 into 0.5 3.323 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.323 * [taylor]: Taking taylor expansion of 1.0 in k 3.323 * [backup-simplify]: Simplify 1.0 into 1.0 3.323 * [taylor]: Taking taylor expansion of k in k 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.323 * [taylor]: Taking taylor expansion of 2.0 in k 3.323 * [backup-simplify]: Simplify 2.0 into 2.0 3.323 * [taylor]: Taking taylor expansion of (* n PI) in k 3.323 * [taylor]: Taking taylor expansion of n in k 3.324 * [backup-simplify]: Simplify n into n 3.324 * [taylor]: Taking taylor expansion of PI in k 3.324 * [backup-simplify]: Simplify PI into PI 3.324 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.324 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.324 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.324 * [backup-simplify]: Simplify (- 0) into 0 3.325 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.325 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.325 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.325 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.326 * [taylor]: Taking taylor expansion of 0.5 in n 3.326 * [backup-simplify]: Simplify 0.5 into 0.5 3.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.326 * [taylor]: Taking taylor expansion of 1.0 in n 3.326 * [backup-simplify]: Simplify 1.0 into 1.0 3.326 * [taylor]: Taking taylor expansion of k in n 3.326 * [backup-simplify]: Simplify k into k 3.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.326 * [taylor]: Taking taylor expansion of 2.0 in n 3.326 * [backup-simplify]: Simplify 2.0 into 2.0 3.326 * [taylor]: Taking taylor expansion of (* n PI) in n 3.326 * [taylor]: Taking taylor expansion of n in n 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [taylor]: Taking taylor expansion of PI in n 3.326 * [backup-simplify]: Simplify PI into PI 3.327 * [backup-simplify]: Simplify (* 0 PI) into 0 3.327 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.330 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.331 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.332 * [backup-simplify]: Simplify (- k) into (- k) 3.332 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.332 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.335 * [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)))) 3.336 * [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))))) 3.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.336 * [taylor]: Taking taylor expansion of 0.5 in n 3.336 * [backup-simplify]: Simplify 0.5 into 0.5 3.336 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.336 * [taylor]: Taking taylor expansion of 1.0 in n 3.336 * [backup-simplify]: Simplify 1.0 into 1.0 3.336 * [taylor]: Taking taylor expansion of k in n 3.336 * [backup-simplify]: Simplify k into k 3.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.336 * [taylor]: Taking taylor expansion of 2.0 in n 3.336 * [backup-simplify]: Simplify 2.0 into 2.0 3.336 * [taylor]: Taking taylor expansion of (* n PI) in n 3.336 * [taylor]: Taking taylor expansion of n in n 3.336 * [backup-simplify]: Simplify 0 into 0 3.336 * [backup-simplify]: Simplify 1 into 1 3.336 * [taylor]: Taking taylor expansion of PI in n 3.336 * [backup-simplify]: Simplify PI into PI 3.337 * [backup-simplify]: Simplify (* 0 PI) into 0 3.337 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.340 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.341 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.341 * [backup-simplify]: Simplify (- k) into (- k) 3.341 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.341 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.343 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.344 * [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)))) 3.345 * [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))))) 3.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.346 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.346 * [taylor]: Taking taylor expansion of 0.5 in k 3.346 * [backup-simplify]: Simplify 0.5 into 0.5 3.346 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.346 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.346 * [taylor]: Taking taylor expansion of 1.0 in k 3.346 * [backup-simplify]: Simplify 1.0 into 1.0 3.346 * [taylor]: Taking taylor expansion of k in k 3.346 * [backup-simplify]: Simplify 0 into 0 3.346 * [backup-simplify]: Simplify 1 into 1 3.346 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.346 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.346 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.346 * [taylor]: Taking taylor expansion of 2.0 in k 3.346 * [backup-simplify]: Simplify 2.0 into 2.0 3.346 * [taylor]: Taking taylor expansion of PI in k 3.346 * [backup-simplify]: Simplify PI into PI 3.347 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.348 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.348 * [taylor]: Taking taylor expansion of (log n) in k 3.348 * [taylor]: Taking taylor expansion of n in k 3.348 * [backup-simplify]: Simplify n into n 3.348 * [backup-simplify]: Simplify (log n) into (log n) 3.348 * [backup-simplify]: Simplify (- 0) into 0 3.349 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.350 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.350 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.351 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.352 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.353 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.353 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.354 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.355 * [backup-simplify]: Simplify (- 0) into 0 3.355 * [backup-simplify]: Simplify (+ 0 0) into 0 3.356 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.357 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.357 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.358 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.358 * [taylor]: Taking taylor expansion of 0 in k 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 0 into 0 3.359 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.361 * [backup-simplify]: Simplify (+ 0 0) into 0 3.361 * [backup-simplify]: Simplify (- 1) into -1 3.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.362 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.364 * [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)))) 3.366 * [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)))))) 3.367 * [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)))))) 3.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.369 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.371 * [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 3.371 * [backup-simplify]: Simplify (- 0) into 0 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.373 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.374 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.376 * [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 3.376 * [taylor]: Taking taylor expansion of 0 in k 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.378 * [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 3.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.386 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.392 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.398 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 3.399 * [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)))) 3.399 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.399 * [taylor]: Taking taylor expansion of 0.5 in k 3.399 * [backup-simplify]: Simplify 0.5 into 0.5 3.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.399 * [taylor]: Taking taylor expansion of 1.0 in k 3.399 * [backup-simplify]: Simplify 1.0 into 1.0 3.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.399 * [taylor]: Taking taylor expansion of k in k 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (/ 1 1) into 1 3.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.399 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.399 * [taylor]: Taking taylor expansion of 2.0 in k 3.399 * [backup-simplify]: Simplify 2.0 into 2.0 3.399 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.399 * [taylor]: Taking taylor expansion of PI in k 3.399 * [backup-simplify]: Simplify PI into PI 3.400 * [taylor]: Taking taylor expansion of n in k 3.400 * [backup-simplify]: Simplify n into n 3.400 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.400 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.400 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.400 * [backup-simplify]: Simplify (- 1) into -1 3.400 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.400 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.401 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.401 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.401 * [taylor]: Taking taylor expansion of 0.5 in n 3.401 * [backup-simplify]: Simplify 0.5 into 0.5 3.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.401 * [taylor]: Taking taylor expansion of 1.0 in n 3.401 * [backup-simplify]: Simplify 1.0 into 1.0 3.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.401 * [taylor]: Taking taylor expansion of k in n 3.401 * [backup-simplify]: Simplify k into k 3.401 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.401 * [taylor]: Taking taylor expansion of 2.0 in n 3.401 * [backup-simplify]: Simplify 2.0 into 2.0 3.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.401 * [taylor]: Taking taylor expansion of PI in n 3.401 * [backup-simplify]: Simplify PI into PI 3.401 * [taylor]: Taking taylor expansion of n in n 3.401 * [backup-simplify]: Simplify 0 into 0 3.401 * [backup-simplify]: Simplify 1 into 1 3.401 * [backup-simplify]: Simplify (/ PI 1) into PI 3.402 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.403 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.403 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.403 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.403 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.404 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.406 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.407 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.407 * [taylor]: Taking taylor expansion of 0.5 in n 3.407 * [backup-simplify]: Simplify 0.5 into 0.5 3.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.407 * [taylor]: Taking taylor expansion of 1.0 in n 3.407 * [backup-simplify]: Simplify 1.0 into 1.0 3.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.407 * [taylor]: Taking taylor expansion of k in n 3.407 * [backup-simplify]: Simplify k into k 3.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.407 * [taylor]: Taking taylor expansion of 2.0 in n 3.407 * [backup-simplify]: Simplify 2.0 into 2.0 3.407 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.408 * [taylor]: Taking taylor expansion of PI in n 3.408 * [backup-simplify]: Simplify PI into PI 3.408 * [taylor]: Taking taylor expansion of n in n 3.408 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify 1 into 1 3.408 * [backup-simplify]: Simplify (/ PI 1) into PI 3.409 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.410 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.410 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.410 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.410 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.413 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.414 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.414 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 3.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 3.414 * [taylor]: Taking taylor expansion of 0.5 in k 3.414 * [backup-simplify]: Simplify 0.5 into 0.5 3.414 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 3.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.414 * [taylor]: Taking taylor expansion of 1.0 in k 3.414 * [backup-simplify]: Simplify 1.0 into 1.0 3.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.414 * [taylor]: Taking taylor expansion of k in k 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (/ 1 1) into 1 3.415 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.415 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.415 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.415 * [taylor]: Taking taylor expansion of 2.0 in k 3.415 * [backup-simplify]: Simplify 2.0 into 2.0 3.415 * [taylor]: Taking taylor expansion of PI in k 3.415 * [backup-simplify]: Simplify PI into PI 3.416 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.417 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.417 * [taylor]: Taking taylor expansion of (log n) in k 3.417 * [taylor]: Taking taylor expansion of n in k 3.417 * [backup-simplify]: Simplify n into n 3.417 * [backup-simplify]: Simplify (log n) into (log n) 3.417 * [backup-simplify]: Simplify (- 1) into -1 3.418 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.418 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.419 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.420 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.422 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.423 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.424 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.429 * [backup-simplify]: Simplify (- 0) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.431 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.433 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.435 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.435 * [taylor]: Taking taylor expansion of 0 in k 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.440 * [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 3.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.441 * [backup-simplify]: Simplify (- 0) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.442 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.446 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.448 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.448 * [taylor]: Taking taylor expansion of 0 in k 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.451 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.457 * [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 3.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.461 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.463 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.466 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.466 * [taylor]: Taking taylor expansion of 0 in k 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 3.468 * [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))) 3.468 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.468 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.468 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.468 * [taylor]: Taking taylor expansion of 0.5 in k 3.468 * [backup-simplify]: Simplify 0.5 into 0.5 3.468 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.468 * [taylor]: Taking taylor expansion of k in k 3.468 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.469 * [backup-simplify]: Simplify (/ 1 1) into 1 3.469 * [taylor]: Taking taylor expansion of 1.0 in k 3.469 * [backup-simplify]: Simplify 1.0 into 1.0 3.469 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.469 * [taylor]: Taking taylor expansion of -2.0 in k 3.469 * [backup-simplify]: Simplify -2.0 into -2.0 3.469 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.469 * [taylor]: Taking taylor expansion of PI in k 3.469 * [backup-simplify]: Simplify PI into PI 3.469 * [taylor]: Taking taylor expansion of n in k 3.469 * [backup-simplify]: Simplify n into n 3.469 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.469 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.469 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.470 * [backup-simplify]: Simplify (+ 1 0) into 1 3.470 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.471 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.471 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 3.471 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.471 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.471 * [taylor]: Taking taylor expansion of 0.5 in n 3.471 * [backup-simplify]: Simplify 0.5 into 0.5 3.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.471 * [taylor]: Taking taylor expansion of k in n 3.471 * [backup-simplify]: Simplify k into k 3.471 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.471 * [taylor]: Taking taylor expansion of 1.0 in n 3.471 * [backup-simplify]: Simplify 1.0 into 1.0 3.471 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.471 * [taylor]: Taking taylor expansion of -2.0 in n 3.471 * [backup-simplify]: Simplify -2.0 into -2.0 3.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.471 * [taylor]: Taking taylor expansion of PI in n 3.471 * [backup-simplify]: Simplify PI into PI 3.471 * [taylor]: Taking taylor expansion of n in n 3.471 * [backup-simplify]: Simplify 0 into 0 3.471 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (/ PI 1) into PI 3.472 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.473 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.473 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.474 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.476 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.477 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.477 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.478 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.478 * [taylor]: Taking taylor expansion of 0.5 in n 3.478 * [backup-simplify]: Simplify 0.5 into 0.5 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.478 * [taylor]: Taking taylor expansion of k in n 3.478 * [backup-simplify]: Simplify k into k 3.478 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.478 * [taylor]: Taking taylor expansion of 1.0 in n 3.478 * [backup-simplify]: Simplify 1.0 into 1.0 3.478 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.478 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.478 * [taylor]: Taking taylor expansion of -2.0 in n 3.478 * [backup-simplify]: Simplify -2.0 into -2.0 3.478 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.478 * [taylor]: Taking taylor expansion of PI in n 3.478 * [backup-simplify]: Simplify PI into PI 3.478 * [taylor]: Taking taylor expansion of n in n 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.479 * [backup-simplify]: Simplify (/ PI 1) into PI 3.479 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.480 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.480 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.481 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.484 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.485 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 3.485 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 3.485 * [taylor]: Taking taylor expansion of 0.5 in k 3.485 * [backup-simplify]: Simplify 0.5 into 0.5 3.485 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 3.485 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.485 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.485 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.485 * [taylor]: Taking taylor expansion of -2.0 in k 3.485 * [backup-simplify]: Simplify -2.0 into -2.0 3.485 * [taylor]: Taking taylor expansion of PI in k 3.485 * [backup-simplify]: Simplify PI into PI 3.486 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.487 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.487 * [taylor]: Taking taylor expansion of (log n) in k 3.487 * [taylor]: Taking taylor expansion of n in k 3.487 * [backup-simplify]: Simplify n into n 3.487 * [backup-simplify]: Simplify (log n) into (log n) 3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.487 * [taylor]: Taking taylor expansion of k in k 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (/ 1 1) into 1 3.487 * [taylor]: Taking taylor expansion of 1.0 in k 3.487 * [backup-simplify]: Simplify 1.0 into 1.0 3.488 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.489 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.489 * [backup-simplify]: Simplify (+ 1 0) into 1 3.490 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 3.491 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.493 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.494 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.498 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.502 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.504 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.504 * [taylor]: Taking taylor expansion of 0 in k 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.508 * [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 3.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.508 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.511 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.512 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.512 * [taylor]: Taking taylor expansion of 0 in k 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.514 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.517 * [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 3.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.518 * [backup-simplify]: Simplify (+ 0 0) into 0 3.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.523 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.524 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.524 * [taylor]: Taking taylor expansion of 0 in k 3.524 * [backup-simplify]: Simplify 0 into 0 3.524 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.525 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.525 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 3.525 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.525 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.525 * [taylor]: Taking taylor expansion of 1.0 in k 3.525 * [backup-simplify]: Simplify 1.0 into 1.0 3.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.525 * [taylor]: Taking taylor expansion of k in k 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [backup-simplify]: Simplify (sqrt 0) into 0 3.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.527 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.527 * [taylor]: Taking taylor expansion of 1.0 in k 3.527 * [backup-simplify]: Simplify 1.0 into 1.0 3.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.527 * [taylor]: Taking taylor expansion of k in k 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [backup-simplify]: Simplify (sqrt 0) into 0 3.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.529 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.530 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.530 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.534 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.534 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.538 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.539 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.539 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 3.540 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 3.540 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.540 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.540 * [taylor]: Taking taylor expansion of 1.0 in k 3.540 * [backup-simplify]: Simplify 1.0 into 1.0 3.540 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.540 * [taylor]: Taking taylor expansion of k in k 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (sqrt 0) into 0 3.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.541 * [taylor]: Taking taylor expansion of 1.0 in k 3.541 * [backup-simplify]: Simplify 1.0 into 1.0 3.541 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.541 * [taylor]: Taking taylor expansion of k in k 3.541 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (sqrt 0) into 0 3.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.542 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.543 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.545 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.546 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.547 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.550 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.550 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.552 * [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)))))))) 3.552 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 3.552 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.552 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.552 * [taylor]: Taking taylor expansion of 1.0 in k 3.552 * [backup-simplify]: Simplify 1.0 into 1.0 3.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.552 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.552 * [taylor]: Taking taylor expansion of -1 in k 3.552 * [backup-simplify]: Simplify -1 into -1 3.552 * [taylor]: Taking taylor expansion of k in k 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 1 into 1 3.552 * [backup-simplify]: Simplify (/ -1 1) into -1 3.552 * [backup-simplify]: Simplify (sqrt 0) into 0 3.553 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.553 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.554 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.554 * [taylor]: Taking taylor expansion of 1.0 in k 3.554 * [backup-simplify]: Simplify 1.0 into 1.0 3.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.554 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.554 * [taylor]: Taking taylor expansion of -1 in k 3.554 * [backup-simplify]: Simplify -1 into -1 3.554 * [taylor]: Taking taylor expansion of k in k 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (/ -1 1) into -1 3.554 * [backup-simplify]: Simplify (sqrt 0) into 0 3.556 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.556 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.562 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.563 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.569 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.570 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.570 * [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))))) 3.570 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.571 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.571 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.571 * [taylor]: Taking taylor expansion of 2.0 in n 3.571 * [backup-simplify]: Simplify 2.0 into 2.0 3.571 * [taylor]: Taking taylor expansion of (* n PI) in n 3.571 * [taylor]: Taking taylor expansion of n in n 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [taylor]: Taking taylor expansion of PI in n 3.571 * [backup-simplify]: Simplify PI into PI 3.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.571 * [taylor]: Taking taylor expansion of 2.0 in n 3.571 * [backup-simplify]: Simplify 2.0 into 2.0 3.571 * [taylor]: Taking taylor expansion of (* n PI) in n 3.571 * [taylor]: Taking taylor expansion of n in n 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 1 into 1 3.571 * [taylor]: Taking taylor expansion of PI in n 3.571 * [backup-simplify]: Simplify PI into PI 3.571 * [backup-simplify]: Simplify (* 0 PI) into 0 3.572 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.574 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.574 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.575 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.575 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.577 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.577 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.578 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.580 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.582 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.582 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.585 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.585 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.585 * [taylor]: Taking taylor expansion of 2.0 in n 3.585 * [backup-simplify]: Simplify 2.0 into 2.0 3.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.585 * [taylor]: Taking taylor expansion of PI in n 3.585 * [backup-simplify]: Simplify PI into PI 3.585 * [taylor]: Taking taylor expansion of n in n 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (/ PI 1) into PI 3.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.586 * [taylor]: Taking taylor expansion of 2.0 in n 3.586 * [backup-simplify]: Simplify 2.0 into 2.0 3.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.586 * [taylor]: Taking taylor expansion of PI in n 3.586 * [backup-simplify]: Simplify PI into PI 3.586 * [taylor]: Taking taylor expansion of n in n 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (/ PI 1) into PI 3.586 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.587 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.588 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.592 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [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 3.595 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.596 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.596 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.596 * [taylor]: Taking taylor expansion of -2.0 in n 3.596 * [backup-simplify]: Simplify -2.0 into -2.0 3.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.596 * [taylor]: Taking taylor expansion of PI in n 3.596 * [backup-simplify]: Simplify PI into PI 3.596 * [taylor]: Taking taylor expansion of n in n 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (/ PI 1) into PI 3.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.596 * [taylor]: Taking taylor expansion of -2.0 in n 3.596 * [backup-simplify]: Simplify -2.0 into -2.0 3.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.596 * [taylor]: Taking taylor expansion of PI in n 3.596 * [backup-simplify]: Simplify PI into PI 3.596 * [taylor]: Taking taylor expansion of n in n 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (/ PI 1) into PI 3.597 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.597 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.599 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.602 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [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 3.605 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.606 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.606 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 3.606 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 3.606 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 3.606 * [taylor]: Taking taylor expansion of 1.0 in n 3.606 * [backup-simplify]: Simplify 1.0 into 1.0 3.606 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 3.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.606 * [taylor]: Taking taylor expansion of 0.5 in n 3.607 * [backup-simplify]: Simplify 0.5 into 0.5 3.607 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.607 * [taylor]: Taking taylor expansion of 1.0 in n 3.607 * [backup-simplify]: Simplify 1.0 into 1.0 3.607 * [taylor]: Taking taylor expansion of k in n 3.607 * [backup-simplify]: Simplify k into k 3.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.607 * [taylor]: Taking taylor expansion of 2.0 in n 3.607 * [backup-simplify]: Simplify 2.0 into 2.0 3.607 * [taylor]: Taking taylor expansion of (* n PI) in n 3.607 * [taylor]: Taking taylor expansion of n in n 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [taylor]: Taking taylor expansion of PI in n 3.607 * [backup-simplify]: Simplify PI into PI 3.607 * [backup-simplify]: Simplify (* 0 PI) into 0 3.607 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.609 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.610 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.610 * [backup-simplify]: Simplify (- k) into (- k) 3.610 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.610 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.611 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.612 * [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)))) 3.615 * [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))))) 3.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.615 * [taylor]: Taking taylor expansion of k in n 3.615 * [backup-simplify]: Simplify k into k 3.615 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.615 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 3.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 3.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.615 * [taylor]: Taking taylor expansion of 1.0 in k 3.615 * [backup-simplify]: Simplify 1.0 into 1.0 3.615 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.616 * [taylor]: Taking taylor expansion of 0.5 in k 3.616 * [backup-simplify]: Simplify 0.5 into 0.5 3.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.616 * [taylor]: Taking taylor expansion of 1.0 in k 3.616 * [backup-simplify]: Simplify 1.0 into 1.0 3.616 * [taylor]: Taking taylor expansion of k in k 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 1 into 1 3.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.616 * [taylor]: Taking taylor expansion of 2.0 in k 3.616 * [backup-simplify]: Simplify 2.0 into 2.0 3.616 * [taylor]: Taking taylor expansion of (* n PI) in k 3.616 * [taylor]: Taking taylor expansion of n in k 3.616 * [backup-simplify]: Simplify n into n 3.616 * [taylor]: Taking taylor expansion of PI in k 3.616 * [backup-simplify]: Simplify PI into PI 3.616 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.616 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.616 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.617 * [backup-simplify]: Simplify (- 0) into 0 3.617 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.618 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.618 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.618 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.618 * [taylor]: Taking taylor expansion of k in k 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (/ 1 1) into 1 3.619 * [backup-simplify]: Simplify (sqrt 0) into 0 3.620 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.620 * [taylor]: Taking taylor expansion of 1.0 in k 3.620 * [backup-simplify]: Simplify 1.0 into 1.0 3.620 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.621 * [taylor]: Taking taylor expansion of 0.5 in k 3.621 * [backup-simplify]: Simplify 0.5 into 0.5 3.621 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.621 * [taylor]: Taking taylor expansion of 1.0 in k 3.621 * [backup-simplify]: Simplify 1.0 into 1.0 3.621 * [taylor]: Taking taylor expansion of k in k 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.621 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.621 * [taylor]: Taking taylor expansion of 2.0 in k 3.621 * [backup-simplify]: Simplify 2.0 into 2.0 3.621 * [taylor]: Taking taylor expansion of (* n PI) in k 3.621 * [taylor]: Taking taylor expansion of n in k 3.621 * [backup-simplify]: Simplify n into n 3.621 * [taylor]: Taking taylor expansion of PI in k 3.621 * [backup-simplify]: Simplify PI into PI 3.621 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.621 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.621 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.622 * [backup-simplify]: Simplify (- 0) into 0 3.622 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.623 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.623 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.623 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.623 * [taylor]: Taking taylor expansion of k in k 3.623 * [backup-simplify]: Simplify 0 into 0 3.623 * [backup-simplify]: Simplify 1 into 1 3.623 * [backup-simplify]: Simplify (/ 1 1) into 1 3.624 * [backup-simplify]: Simplify (sqrt 0) into 0 3.625 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.626 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 3.626 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.626 * [taylor]: Taking taylor expansion of 0 in n 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 3.627 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 3.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 3.628 * [backup-simplify]: Simplify (- 1) into -1 3.629 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.630 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 3.632 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 3.634 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.636 * [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))) 3.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.636 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.636 * [taylor]: Taking taylor expansion of +nan.0 in n 3.636 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.636 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.636 * [taylor]: Taking taylor expansion of 0.5 in n 3.636 * [backup-simplify]: Simplify 0.5 into 0.5 3.636 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.636 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.636 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.636 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.636 * [taylor]: Taking taylor expansion of 1.0 in n 3.636 * [backup-simplify]: Simplify 1.0 into 1.0 3.636 * [taylor]: Taking taylor expansion of (log PI) in n 3.636 * [taylor]: Taking taylor expansion of PI in n 3.636 * [backup-simplify]: Simplify PI into PI 3.637 * [backup-simplify]: Simplify (log PI) into (log PI) 3.638 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.639 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.639 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.639 * [taylor]: Taking taylor expansion of 1.0 in n 3.639 * [backup-simplify]: Simplify 1.0 into 1.0 3.639 * [taylor]: Taking taylor expansion of (log n) in n 3.639 * [taylor]: Taking taylor expansion of n in n 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (log 1) into 0 3.640 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.640 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.640 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.640 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.641 * [taylor]: Taking taylor expansion of 1.0 in n 3.641 * [backup-simplify]: Simplify 1.0 into 1.0 3.641 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.641 * [taylor]: Taking taylor expansion of 2.0 in n 3.641 * [backup-simplify]: Simplify 2.0 into 2.0 3.641 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.642 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.644 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.644 * [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) 3.645 * [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) 3.647 * [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)) 3.648 * [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))) 3.650 * [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) 3.651 * [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)) 3.653 * [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))) 3.654 * [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))) 3.654 * [backup-simplify]: Simplify 0 into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.659 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 3.662 * [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 3.662 * [backup-simplify]: Simplify (- 0) into 0 3.663 * [backup-simplify]: Simplify (+ 0 0) into 0 3.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 3.666 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 3.670 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 3.675 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.675 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.675 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.675 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.675 * [taylor]: Taking taylor expansion of +nan.0 in n 3.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.675 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.675 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.676 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.676 * [taylor]: Taking taylor expansion of 0.5 in n 3.676 * [backup-simplify]: Simplify 0.5 into 0.5 3.676 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.676 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.676 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.676 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.676 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.676 * [taylor]: Taking taylor expansion of 1.0 in n 3.676 * [backup-simplify]: Simplify 1.0 into 1.0 3.676 * [taylor]: Taking taylor expansion of (log PI) in n 3.676 * [taylor]: Taking taylor expansion of PI in n 3.676 * [backup-simplify]: Simplify PI into PI 3.676 * [backup-simplify]: Simplify (log PI) into (log PI) 3.677 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.679 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.679 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.679 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.679 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.679 * [taylor]: Taking taylor expansion of 1.0 in n 3.679 * [backup-simplify]: Simplify 1.0 into 1.0 3.679 * [taylor]: Taking taylor expansion of (log n) in n 3.679 * [taylor]: Taking taylor expansion of n in n 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (log 1) into 0 3.680 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.680 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.680 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.680 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.680 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.680 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.681 * [taylor]: Taking taylor expansion of 1.0 in n 3.681 * [backup-simplify]: Simplify 1.0 into 1.0 3.681 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.681 * [taylor]: Taking taylor expansion of 2.0 in n 3.681 * [backup-simplify]: Simplify 2.0 into 2.0 3.681 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.682 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.684 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.685 * [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) 3.686 * [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) 3.687 * [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)) 3.689 * [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))) 3.690 * [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) 3.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.690 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.690 * [taylor]: Taking taylor expansion of 2.0 in n 3.690 * [backup-simplify]: Simplify 2.0 into 2.0 3.690 * [taylor]: Taking taylor expansion of (* n PI) in n 3.690 * [taylor]: Taking taylor expansion of n in n 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [taylor]: Taking taylor expansion of PI in n 3.691 * [backup-simplify]: Simplify PI into PI 3.691 * [backup-simplify]: Simplify (* 0 PI) into 0 3.692 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.695 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.696 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.696 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.696 * [taylor]: Taking taylor expansion of +nan.0 in n 3.696 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.696 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.696 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.696 * [taylor]: Taking taylor expansion of 0.5 in n 3.696 * [backup-simplify]: Simplify 0.5 into 0.5 3.696 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.696 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.696 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.696 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.696 * [taylor]: Taking taylor expansion of 1.0 in n 3.696 * [backup-simplify]: Simplify 1.0 into 1.0 3.696 * [taylor]: Taking taylor expansion of (log PI) in n 3.696 * [taylor]: Taking taylor expansion of PI in n 3.696 * [backup-simplify]: Simplify PI into PI 3.697 * [backup-simplify]: Simplify (log PI) into (log PI) 3.698 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.700 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.700 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.700 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.700 * [taylor]: Taking taylor expansion of 1.0 in n 3.700 * [backup-simplify]: Simplify 1.0 into 1.0 3.700 * [taylor]: Taking taylor expansion of (log n) in n 3.700 * [taylor]: Taking taylor expansion of n in n 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (log 1) into 0 3.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.701 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.701 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.701 * [taylor]: Taking taylor expansion of 1.0 in n 3.701 * [backup-simplify]: Simplify 1.0 into 1.0 3.701 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.701 * [taylor]: Taking taylor expansion of 2.0 in n 3.701 * [backup-simplify]: Simplify 2.0 into 2.0 3.702 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.702 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.704 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.705 * [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) 3.706 * [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) 3.707 * [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)) 3.709 * [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))) 3.710 * [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) 3.712 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.715 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.717 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.719 * [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)) 3.720 * [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))) 3.724 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.731 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 3.737 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.740 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.741 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.743 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.744 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.745 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 3.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.748 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.750 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.751 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 3.754 * [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 3.755 * [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 3.758 * [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 3.760 * [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 3.760 * [backup-simplify]: Simplify (- 0) into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.760 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.766 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 3.773 * [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 3.774 * [backup-simplify]: Simplify (- 0) into 0 3.774 * [backup-simplify]: Simplify (+ 0 0) into 0 3.776 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 3.779 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 3.782 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.789 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.789 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.789 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.789 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.789 * [taylor]: Taking taylor expansion of +nan.0 in n 3.789 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.789 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.789 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.789 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.789 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.789 * [taylor]: Taking taylor expansion of 0.5 in n 3.789 * [backup-simplify]: Simplify 0.5 into 0.5 3.789 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.789 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.789 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.789 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.789 * [taylor]: Taking taylor expansion of 1.0 in n 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [taylor]: Taking taylor expansion of (log PI) in n 3.789 * [taylor]: Taking taylor expansion of PI in n 3.789 * [backup-simplify]: Simplify PI into PI 3.789 * [backup-simplify]: Simplify (log PI) into (log PI) 3.790 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.791 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.791 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.791 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.791 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.791 * [taylor]: Taking taylor expansion of 1.0 in n 3.791 * [backup-simplify]: Simplify 1.0 into 1.0 3.791 * [taylor]: Taking taylor expansion of (log n) in n 3.791 * [taylor]: Taking taylor expansion of n in n 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (log 1) into 0 3.792 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.792 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.792 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.792 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.792 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.792 * [taylor]: Taking taylor expansion of 1.0 in n 3.792 * [backup-simplify]: Simplify 1.0 into 1.0 3.792 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.792 * [taylor]: Taking taylor expansion of 2.0 in n 3.792 * [backup-simplify]: Simplify 2.0 into 2.0 3.792 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.793 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.794 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.794 * [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) 3.795 * [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) 3.796 * [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)) 3.796 * [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))) 3.797 * [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) 3.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.797 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.797 * [taylor]: Taking taylor expansion of 2.0 in n 3.797 * [backup-simplify]: Simplify 2.0 into 2.0 3.797 * [taylor]: Taking taylor expansion of (* n PI) in n 3.797 * [taylor]: Taking taylor expansion of n in n 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.797 * [taylor]: Taking taylor expansion of PI in n 3.797 * [backup-simplify]: Simplify PI into PI 3.798 * [backup-simplify]: Simplify (* 0 PI) into 0 3.798 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.801 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.802 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.802 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.802 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.802 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.802 * [taylor]: Taking taylor expansion of +nan.0 in n 3.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.802 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.803 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.803 * [taylor]: Taking taylor expansion of 0.5 in n 3.803 * [backup-simplify]: Simplify 0.5 into 0.5 3.803 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.803 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.803 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.803 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.803 * [taylor]: Taking taylor expansion of 1.0 in n 3.803 * [backup-simplify]: Simplify 1.0 into 1.0 3.803 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.803 * [taylor]: Taking taylor expansion of 2.0 in n 3.803 * [backup-simplify]: Simplify 2.0 into 2.0 3.803 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.804 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.806 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.806 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.806 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.806 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.806 * [taylor]: Taking taylor expansion of 1.0 in n 3.806 * [backup-simplify]: Simplify 1.0 into 1.0 3.806 * [taylor]: Taking taylor expansion of (log n) in n 3.806 * [taylor]: Taking taylor expansion of n in n 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (log 1) into 0 3.807 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.807 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.807 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.807 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.807 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.807 * [taylor]: Taking taylor expansion of 1.0 in n 3.807 * [backup-simplify]: Simplify 1.0 into 1.0 3.807 * [taylor]: Taking taylor expansion of (log PI) in n 3.807 * [taylor]: Taking taylor expansion of PI in n 3.807 * [backup-simplify]: Simplify PI into PI 3.808 * [backup-simplify]: Simplify (log PI) into (log PI) 3.809 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.810 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.811 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.812 * [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) 3.814 * [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)) 3.815 * [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))) 3.816 * [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) 3.816 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.816 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.816 * [taylor]: Taking taylor expansion of +nan.0 in n 3.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.816 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.816 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.816 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.816 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.816 * [taylor]: Taking taylor expansion of 0.5 in n 3.816 * [backup-simplify]: Simplify 0.5 into 0.5 3.816 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.816 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.816 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.816 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.816 * [taylor]: Taking taylor expansion of 1.0 in n 3.816 * [backup-simplify]: Simplify 1.0 into 1.0 3.816 * [taylor]: Taking taylor expansion of (log PI) in n 3.816 * [taylor]: Taking taylor expansion of PI in n 3.816 * [backup-simplify]: Simplify PI into PI 3.816 * [backup-simplify]: Simplify (log PI) into (log PI) 3.817 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.818 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.818 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.818 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.818 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.818 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.818 * [taylor]: Taking taylor expansion of 1.0 in n 3.818 * [backup-simplify]: Simplify 1.0 into 1.0 3.818 * [taylor]: Taking taylor expansion of (log n) in n 3.818 * [taylor]: Taking taylor expansion of n in n 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (log 1) into 0 3.819 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.819 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.819 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.819 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.819 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.819 * [taylor]: Taking taylor expansion of 1.0 in n 3.819 * [backup-simplify]: Simplify 1.0 into 1.0 3.819 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.819 * [taylor]: Taking taylor expansion of 2.0 in n 3.819 * [backup-simplify]: Simplify 2.0 into 2.0 3.819 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.820 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.820 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.821 * [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) 3.822 * [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) 3.822 * [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)) 3.823 * [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))) 3.824 * [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) 3.824 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.824 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.824 * [taylor]: Taking taylor expansion of 2.0 in n 3.824 * [backup-simplify]: Simplify 2.0 into 2.0 3.824 * [taylor]: Taking taylor expansion of (* n PI) in n 3.824 * [taylor]: Taking taylor expansion of n in n 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.824 * [taylor]: Taking taylor expansion of PI in n 3.824 * [backup-simplify]: Simplify PI into PI 3.825 * [backup-simplify]: Simplify (* 0 PI) into 0 3.825 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.826 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.827 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.827 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.828 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.829 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.831 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.832 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.833 * [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)) 3.834 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.836 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.838 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 3.840 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 3.841 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 3.847 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 3.856 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))))) 3.870 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 3.892 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 3.909 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 3.936 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 3.937 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 3.937 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 3.937 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 3.937 * [taylor]: Taking taylor expansion of 1.0 in n 3.937 * [backup-simplify]: Simplify 1.0 into 1.0 3.937 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 3.937 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.938 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.938 * [taylor]: Taking taylor expansion of 0.5 in n 3.938 * [backup-simplify]: Simplify 0.5 into 0.5 3.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.938 * [taylor]: Taking taylor expansion of 1.0 in n 3.938 * [backup-simplify]: Simplify 1.0 into 1.0 3.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.938 * [taylor]: Taking taylor expansion of k in n 3.938 * [backup-simplify]: Simplify k into k 3.938 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.938 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.938 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.938 * [taylor]: Taking taylor expansion of 2.0 in n 3.938 * [backup-simplify]: Simplify 2.0 into 2.0 3.938 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.938 * [taylor]: Taking taylor expansion of PI in n 3.938 * [backup-simplify]: Simplify PI into PI 3.938 * [taylor]: Taking taylor expansion of n in n 3.938 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (/ PI 1) into PI 3.939 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.940 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.940 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.941 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.941 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.943 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.945 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.945 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.945 * [taylor]: Taking taylor expansion of k in n 3.945 * [backup-simplify]: Simplify k into k 3.945 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.945 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 3.945 * [taylor]: Taking taylor expansion of 1.0 in k 3.945 * [backup-simplify]: Simplify 1.0 into 1.0 3.945 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 3.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.945 * [taylor]: Taking taylor expansion of 0.5 in k 3.946 * [backup-simplify]: Simplify 0.5 into 0.5 3.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.946 * [taylor]: Taking taylor expansion of 1.0 in k 3.946 * [backup-simplify]: Simplify 1.0 into 1.0 3.946 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.946 * [taylor]: Taking taylor expansion of k in k 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (/ 1 1) into 1 3.946 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.946 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.946 * [taylor]: Taking taylor expansion of 2.0 in k 3.946 * [backup-simplify]: Simplify 2.0 into 2.0 3.946 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.946 * [taylor]: Taking taylor expansion of PI in k 3.946 * [backup-simplify]: Simplify PI into PI 3.946 * [taylor]: Taking taylor expansion of n in k 3.946 * [backup-simplify]: Simplify n into n 3.946 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.947 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.947 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.947 * [backup-simplify]: Simplify (- 1) into -1 3.948 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.948 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.948 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.948 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.948 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.948 * [taylor]: Taking taylor expansion of k in k 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (sqrt 0) into 0 3.950 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.950 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 3.951 * [taylor]: Taking taylor expansion of 1.0 in k 3.951 * [backup-simplify]: Simplify 1.0 into 1.0 3.951 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 3.951 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.951 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.951 * [taylor]: Taking taylor expansion of 0.5 in k 3.951 * [backup-simplify]: Simplify 0.5 into 0.5 3.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.951 * [taylor]: Taking taylor expansion of 1.0 in k 3.951 * [backup-simplify]: Simplify 1.0 into 1.0 3.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.951 * [taylor]: Taking taylor expansion of k in k 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.951 * [taylor]: Taking taylor expansion of 2.0 in k 3.952 * [backup-simplify]: Simplify 2.0 into 2.0 3.952 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.952 * [taylor]: Taking taylor expansion of PI in k 3.952 * [backup-simplify]: Simplify PI into PI 3.952 * [taylor]: Taking taylor expansion of n in k 3.952 * [backup-simplify]: Simplify n into n 3.952 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.952 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.952 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.952 * [backup-simplify]: Simplify (- 1) into -1 3.953 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.953 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.953 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.954 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.954 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.954 * [taylor]: Taking taylor expansion of k in k 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (sqrt 0) into 0 3.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.956 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 3.956 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.956 * [taylor]: Taking taylor expansion of 0 in n 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.958 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.958 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.958 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.958 * [taylor]: Taking taylor expansion of +nan.0 in n 3.958 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.958 * [taylor]: Taking taylor expansion of 0.5 in n 3.958 * [backup-simplify]: Simplify 0.5 into 0.5 3.958 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.958 * [taylor]: Taking taylor expansion of 1.0 in n 3.958 * [backup-simplify]: Simplify 1.0 into 1.0 3.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.958 * [taylor]: Taking taylor expansion of k in n 3.958 * [backup-simplify]: Simplify k into k 3.958 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.958 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.958 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.958 * [taylor]: Taking taylor expansion of 2.0 in n 3.958 * [backup-simplify]: Simplify 2.0 into 2.0 3.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.959 * [taylor]: Taking taylor expansion of PI in n 3.959 * [backup-simplify]: Simplify PI into PI 3.959 * [taylor]: Taking taylor expansion of n in n 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (/ PI 1) into PI 3.960 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.961 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.961 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.961 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.963 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.964 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.965 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.966 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.968 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 3.969 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.971 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.971 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.974 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.975 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.975 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.975 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.975 * [taylor]: Taking taylor expansion of +nan.0 in n 3.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.975 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.975 * [taylor]: Taking taylor expansion of 0.5 in n 3.975 * [backup-simplify]: Simplify 0.5 into 0.5 3.975 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.975 * [taylor]: Taking taylor expansion of 1.0 in n 3.975 * [backup-simplify]: Simplify 1.0 into 1.0 3.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.975 * [taylor]: Taking taylor expansion of k in n 3.975 * [backup-simplify]: Simplify k into k 3.975 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.975 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.975 * [taylor]: Taking taylor expansion of 2.0 in n 3.976 * [backup-simplify]: Simplify 2.0 into 2.0 3.976 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.976 * [taylor]: Taking taylor expansion of PI in n 3.976 * [backup-simplify]: Simplify PI into PI 3.976 * [taylor]: Taking taylor expansion of n in n 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ PI 1) into PI 3.976 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.977 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.977 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.977 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.979 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.979 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.980 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.981 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 3.982 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.983 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 3.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.985 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.987 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 3.989 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 3.990 * [backup-simplify]: Simplify (- 0) into 0 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 0 into 0 3.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.993 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.994 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.994 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.994 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.994 * [taylor]: Taking taylor expansion of +nan.0 in n 3.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.994 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.994 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.994 * [taylor]: Taking taylor expansion of 0.5 in n 3.994 * [backup-simplify]: Simplify 0.5 into 0.5 3.994 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.994 * [taylor]: Taking taylor expansion of 1.0 in n 3.994 * [backup-simplify]: Simplify 1.0 into 1.0 3.994 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.994 * [taylor]: Taking taylor expansion of k in n 3.994 * [backup-simplify]: Simplify k into k 3.994 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.995 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.995 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.995 * [taylor]: Taking taylor expansion of 2.0 in n 3.995 * [backup-simplify]: Simplify 2.0 into 2.0 3.995 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.995 * [taylor]: Taking taylor expansion of PI in n 3.995 * [backup-simplify]: Simplify PI into PI 3.995 * [taylor]: Taking taylor expansion of n in n 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 1 into 1 3.995 * [backup-simplify]: Simplify (/ PI 1) into PI 3.995 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.996 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.996 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.996 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.997 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.998 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.999 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.999 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.000 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.001 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.002 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.005 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 4.005 * [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)))) 4.005 * [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 4.005 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.005 * [taylor]: Taking taylor expansion of 1.0 in n 4.005 * [backup-simplify]: Simplify 1.0 into 1.0 4.005 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.006 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.006 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.006 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.006 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.006 * [taylor]: Taking taylor expansion of 0.5 in n 4.006 * [backup-simplify]: Simplify 0.5 into 0.5 4.006 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.006 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.006 * [taylor]: Taking taylor expansion of k in n 4.006 * [backup-simplify]: Simplify k into k 4.006 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.006 * [taylor]: Taking taylor expansion of 1.0 in n 4.006 * [backup-simplify]: Simplify 1.0 into 1.0 4.006 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.006 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.006 * [taylor]: Taking taylor expansion of -2.0 in n 4.006 * [backup-simplify]: Simplify -2.0 into -2.0 4.006 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.006 * [taylor]: Taking taylor expansion of PI in n 4.006 * [backup-simplify]: Simplify PI into PI 4.006 * [taylor]: Taking taylor expansion of n in n 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ PI 1) into PI 4.007 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.008 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.008 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.008 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.010 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.011 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.015 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.015 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.015 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.015 * [taylor]: Taking taylor expansion of -1 in n 4.015 * [backup-simplify]: Simplify -1 into -1 4.015 * [taylor]: Taking taylor expansion of k in n 4.015 * [backup-simplify]: Simplify k into k 4.016 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.016 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.016 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.017 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 4.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.017 * [taylor]: Taking taylor expansion of 1.0 in k 4.017 * [backup-simplify]: Simplify 1.0 into 1.0 4.017 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.017 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.018 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.018 * [taylor]: Taking taylor expansion of 0.5 in k 4.018 * [backup-simplify]: Simplify 0.5 into 0.5 4.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.018 * [taylor]: Taking taylor expansion of k in k 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of 1.0 in k 4.018 * [backup-simplify]: Simplify 1.0 into 1.0 4.018 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.018 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.018 * [taylor]: Taking taylor expansion of -2.0 in k 4.018 * [backup-simplify]: Simplify -2.0 into -2.0 4.018 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.018 * [taylor]: Taking taylor expansion of PI in k 4.018 * [backup-simplify]: Simplify PI into PI 4.018 * [taylor]: Taking taylor expansion of n in k 4.019 * [backup-simplify]: Simplify n into n 4.019 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.019 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.019 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.019 * [backup-simplify]: Simplify (+ 1 0) into 1 4.020 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.020 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.020 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 4.020 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.020 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.020 * [taylor]: Taking taylor expansion of -1 in k 4.020 * [backup-simplify]: Simplify -1 into -1 4.020 * [taylor]: Taking taylor expansion of k in k 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.021 * [backup-simplify]: Simplify (/ -1 1) into -1 4.021 * [backup-simplify]: Simplify (sqrt 0) into 0 4.022 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.023 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.023 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [backup-simplify]: Simplify 1.0 into 1.0 4.023 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.023 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.023 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.023 * [taylor]: Taking taylor expansion of 0.5 in k 4.023 * [backup-simplify]: Simplify 0.5 into 0.5 4.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.023 * [taylor]: Taking taylor expansion of k in k 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [backup-simplify]: Simplify 1.0 into 1.0 4.023 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.024 * [taylor]: Taking taylor expansion of -2.0 in k 4.024 * [backup-simplify]: Simplify -2.0 into -2.0 4.024 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.024 * [taylor]: Taking taylor expansion of PI in k 4.024 * [backup-simplify]: Simplify PI into PI 4.024 * [taylor]: Taking taylor expansion of n in k 4.024 * [backup-simplify]: Simplify n into n 4.024 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.024 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.024 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.024 * [backup-simplify]: Simplify (+ 1 0) into 1 4.025 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.025 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.025 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 4.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.025 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.025 * [taylor]: Taking taylor expansion of -1 in k 4.025 * [backup-simplify]: Simplify -1 into -1 4.025 * [taylor]: Taking taylor expansion of k in k 4.025 * [backup-simplify]: Simplify 0 into 0 4.025 * [backup-simplify]: Simplify 1 into 1 4.026 * [backup-simplify]: Simplify (/ -1 1) into -1 4.026 * [backup-simplify]: Simplify (sqrt 0) into 0 4.028 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.028 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.028 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.028 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.028 * [taylor]: Taking taylor expansion of +nan.0 in n 4.028 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.028 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.029 * [taylor]: Taking taylor expansion of 0.5 in n 4.029 * [backup-simplify]: Simplify 0.5 into 0.5 4.029 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.029 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.029 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.029 * [taylor]: Taking taylor expansion of -2.0 in n 4.029 * [backup-simplify]: Simplify -2.0 into -2.0 4.029 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.029 * [taylor]: Taking taylor expansion of PI in n 4.029 * [backup-simplify]: Simplify PI into PI 4.029 * [taylor]: Taking taylor expansion of n in n 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [backup-simplify]: Simplify (/ PI 1) into PI 4.030 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.031 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.031 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.031 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.031 * [taylor]: Taking taylor expansion of k in n 4.031 * [backup-simplify]: Simplify k into k 4.031 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.031 * [taylor]: Taking taylor expansion of 1.0 in n 4.031 * [backup-simplify]: Simplify 1.0 into 1.0 4.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.033 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.034 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.035 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.036 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.038 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.039 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.044 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.045 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.045 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 4.045 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.045 * [taylor]: Taking taylor expansion of +nan.0 in n 4.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.045 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.045 * [taylor]: Taking taylor expansion of 0.5 in n 4.045 * [backup-simplify]: Simplify 0.5 into 0.5 4.045 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.045 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.045 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.045 * [taylor]: Taking taylor expansion of -2.0 in n 4.045 * [backup-simplify]: Simplify -2.0 into -2.0 4.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.045 * [taylor]: Taking taylor expansion of PI in n 4.045 * [backup-simplify]: Simplify PI into PI 4.045 * [taylor]: Taking taylor expansion of n in n 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 1 into 1 4.046 * [backup-simplify]: Simplify (/ PI 1) into PI 4.046 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.047 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.048 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.048 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.048 * [taylor]: Taking taylor expansion of k in n 4.048 * [backup-simplify]: Simplify k into k 4.048 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.048 * [taylor]: Taking taylor expansion of 1.0 in n 4.048 * [backup-simplify]: Simplify 1.0 into 1.0 4.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.049 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.051 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.052 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.053 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.055 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.056 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.058 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.059 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.064 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 4.066 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 4.067 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.071 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.072 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.072 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 4.072 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.072 * [taylor]: Taking taylor expansion of +nan.0 in n 4.072 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.072 * [taylor]: Taking taylor expansion of 0.5 in n 4.072 * [backup-simplify]: Simplify 0.5 into 0.5 4.072 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.072 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.072 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.072 * [taylor]: Taking taylor expansion of -2.0 in n 4.072 * [backup-simplify]: Simplify -2.0 into -2.0 4.072 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.072 * [taylor]: Taking taylor expansion of PI in n 4.072 * [backup-simplify]: Simplify PI into PI 4.072 * [taylor]: Taking taylor expansion of n in n 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.073 * [backup-simplify]: Simplify (/ PI 1) into PI 4.073 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.074 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.074 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.074 * [taylor]: Taking taylor expansion of k in n 4.074 * [backup-simplify]: Simplify k into k 4.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.074 * [taylor]: Taking taylor expansion of 1.0 in n 4.074 * [backup-simplify]: Simplify 1.0 into 1.0 4.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.075 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.076 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.077 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.077 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.078 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.079 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.080 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.083 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 4.083 * * * [progress]: simplifying candidates 4.085 * [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 (/ 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 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4.091 * * [simplify]: iteration 0: 361 enodes 4.254 * * [simplify]: iteration 1: 1004 enodes 4.834 * * [simplify]: iteration 2: 3343 enodes 6.191 * * [simplify]: iteration complete: 5000 enodes 6.191 * * [simplify]: Extracting #0: cost 125 inf + 0 6.194 * * [simplify]: Extracting #1: cost 616 inf + 2 6.211 * * [simplify]: Extracting #2: cost 1050 inf + 2428 6.231 * * [simplify]: Extracting #3: cost 1037 inf + 36199 6.259 * * [simplify]: Extracting #4: cost 719 inf + 136700 6.324 * * [simplify]: Extracting #5: cost 401 inf + 307840 6.461 * * [simplify]: Extracting #6: cost 262 inf + 415089 6.605 * * [simplify]: Extracting #7: cost 85 inf + 586612 6.763 * * [simplify]: Extracting #8: cost 16 inf + 663737 6.977 * * [simplify]: Extracting #9: cost 0 inf + 674163 7.182 * * [simplify]: Extracting #10: cost 0 inf + 672493 7.396 * * [simplify]: Extracting #11: cost 0 inf + 672253 7.612 * * [simplify]: Extracting #12: cost 0 inf + 672203 7.829 * [simplify]: Simplified to: (expm1 (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (log1p (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (* (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n (* PI 2.0)) (/ 1.0 2.0)) (pow (* n (* PI 2.0)) (/ k 2.0)) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (sqrt (- 1.0 k))) (pow (* n (* PI 2.0)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (* n (* PI 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(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 (* n (* PI 2.0))) (log1p (* n (* PI 2.0))) (* n (* PI 2.0)) (* n (* PI 2.0)) (log (* n (* PI 2.0))) (log (* n (* PI 2.0))) (log (* n (* PI 2.0))) (exp (* n (* PI 2.0))) (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0))) (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0))) (* (cbrt (* n (* PI 2.0))) (cbrt (* n (* PI 2.0)))) (cbrt (* n (* PI 2.0))) (* (* (* n (* PI 2.0)) (* n (* PI 2.0))) (* n (* PI 2.0))) (sqrt (* n (* PI 2.0))) (sqrt (* n (* PI 2.0))) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* 2.0 (* (sqrt n) PI)) (* PI 2.0) (* n PI) (expm1 (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* n (* PI 2.0))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* n (* PI 2.0)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (/ 1.0 (/ (sqrt k) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (cbrt (sqrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (/ (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* 1.0 (pow (* n (* PI 2.0)) (/ 1.0 2.0))) (sqrt k)) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) 1.0) (fma (* (* (log (* PI 2.0)) (exp (* (log (* n (* PI 2.0))) 0.5))) (* (log n) (* k k))) 0.25 (- (fma 0.125 (* (* (log n) (log n)) (* (* k k) (exp (* (log (* n (* PI 2.0))) 0.5)))) (fma (* (* (log (* PI 2.0)) (log (* PI 2.0))) 0.125) (* (* k k) (exp (* (log (* n (* PI 2.0))) 0.5))) (exp (* (log (* n (* PI 2.0))) 0.5)))) (* 0.5 (* k (fma (exp (* (log (* n (* PI 2.0))) 0.5)) (log n) (* (log (* PI 2.0)) (exp (* (log (* n (* PI 2.0))) 0.5)))))))) (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0))))) (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) (fma +nan.0 (- (* k k)) (- +nan.0 (* k +nan.0))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* k (* k k))))) (- (- (fma (/ +nan.0 k) (/ 1 k) +nan.0) (/ +nan.0 k))) (* n (* PI 2.0)) (* n (* PI 2.0)) (* n (* PI 2.0)) (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) k (fma (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (* k k) (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) (* (log n) (* k k)) (+ (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0)))) (fma (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (* (log n) (* (log (* PI 2.0)) (* k k))) (fma (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0)) (* (log (* PI 2.0)) k) (fma (* (log n) k) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (fma (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0) (- (* (log (* PI 2.0)) (* k k))) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* +nan.0 (* (* (log n) k) (* (log n) k))))))))) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0))))) (fma (- +nan.0) (/ (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0))))) (* k k)) (* +nan.0 (+ (/ (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0))))) k) (/ (- (exp (* (* 0.5 (- 1.0 k)) (log (* n (* PI 2.0)))))) (* k (* k k)))))) (fma (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) (- +nan.0) (fma +nan.0 (/ (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) k) (* (/ (exp (* (- (log (* -2.0 PI)) (log (/ -1 n))) (* 0.5 (- 1.0 k)))) k) (/ (- +nan.0) k)))) 7.841 * * * [progress]: adding candidates to table 8.770 * * [progress]: iteration 2 / 4 8.770 * * * [progress]: picking best candidate 8.840 * * * * [pick]: Picked # 8.841 * * * [progress]: localizing error 8.908 * * * [progress]: generating rewritten candidates 8.908 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 8.932 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 8.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.941 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 8.965 * * * [progress]: generating series expansions 8.965 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 8.966 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 8.966 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.966 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.966 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.966 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.966 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.966 * [taylor]: Taking taylor expansion of 0.5 in k 8.966 * [backup-simplify]: Simplify 0.5 into 0.5 8.966 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.966 * [taylor]: Taking taylor expansion of 1.0 in k 8.966 * [backup-simplify]: Simplify 1.0 into 1.0 8.966 * [taylor]: Taking taylor expansion of k in k 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 1 into 1 8.966 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.966 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.966 * [taylor]: Taking taylor expansion of 2.0 in k 8.966 * [backup-simplify]: Simplify 2.0 into 2.0 8.966 * [taylor]: Taking taylor expansion of (* n PI) in k 8.966 * [taylor]: Taking taylor expansion of n in k 8.966 * [backup-simplify]: Simplify n into n 8.966 * [taylor]: Taking taylor expansion of PI in k 8.966 * [backup-simplify]: Simplify PI into PI 8.966 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.966 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.966 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.967 * [backup-simplify]: Simplify (- 0) into 0 8.967 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.968 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.968 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 8.968 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 8.968 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.968 * [taylor]: Taking taylor expansion of 0.5 in n 8.968 * [backup-simplify]: Simplify 0.5 into 0.5 8.968 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.968 * [taylor]: Taking taylor expansion of 1.0 in n 8.968 * [backup-simplify]: Simplify 1.0 into 1.0 8.968 * [taylor]: Taking taylor expansion of k in n 8.968 * [backup-simplify]: Simplify k into k 8.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.968 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.968 * [taylor]: Taking taylor expansion of 2.0 in n 8.968 * [backup-simplify]: Simplify 2.0 into 2.0 8.968 * [taylor]: Taking taylor expansion of (* n PI) in n 8.968 * [taylor]: Taking taylor expansion of n in n 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [taylor]: Taking taylor expansion of PI in n 8.968 * [backup-simplify]: Simplify PI into PI 8.968 * [backup-simplify]: Simplify (* 0 PI) into 0 8.969 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.971 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.971 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.971 * [backup-simplify]: Simplify (- k) into (- k) 8.971 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.971 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.972 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.973 * [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)))) 8.974 * [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))))) 8.974 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.974 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.974 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.974 * [taylor]: Taking taylor expansion of 0.5 in n 8.974 * [backup-simplify]: Simplify 0.5 into 0.5 8.974 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.974 * [taylor]: Taking taylor expansion of 1.0 in n 8.974 * [backup-simplify]: Simplify 1.0 into 1.0 8.974 * [taylor]: Taking taylor expansion of k in n 8.974 * [backup-simplify]: Simplify k into k 8.974 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.974 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.974 * [taylor]: Taking taylor expansion of 2.0 in n 8.974 * [backup-simplify]: Simplify 2.0 into 2.0 8.974 * [taylor]: Taking taylor expansion of (* n PI) in n 8.974 * [taylor]: Taking taylor expansion of n in n 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [taylor]: Taking taylor expansion of PI in n 8.974 * [backup-simplify]: Simplify PI into PI 8.974 * [backup-simplify]: Simplify (* 0 PI) into 0 8.975 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.977 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.977 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.977 * [backup-simplify]: Simplify (- k) into (- k) 8.977 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.977 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.978 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.979 * [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)))) 8.980 * [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))))) 8.980 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.980 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.980 * [taylor]: Taking taylor expansion of 0.5 in k 8.980 * [backup-simplify]: Simplify 0.5 into 0.5 8.980 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.980 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.980 * [taylor]: Taking taylor expansion of 1.0 in k 8.980 * [backup-simplify]: Simplify 1.0 into 1.0 8.980 * [taylor]: Taking taylor expansion of k in k 8.980 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify 1 into 1 8.980 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.980 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.980 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.980 * [taylor]: Taking taylor expansion of 2.0 in k 8.980 * [backup-simplify]: Simplify 2.0 into 2.0 8.980 * [taylor]: Taking taylor expansion of PI in k 8.980 * [backup-simplify]: Simplify PI into PI 8.980 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.981 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.981 * [taylor]: Taking taylor expansion of (log n) in k 8.981 * [taylor]: Taking taylor expansion of n in k 8.981 * [backup-simplify]: Simplify n into n 8.981 * [backup-simplify]: Simplify (log n) into (log n) 8.981 * [backup-simplify]: Simplify (- 0) into 0 8.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.983 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.984 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.985 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 8.986 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.987 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 8.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.991 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.992 * [backup-simplify]: Simplify (- 0) into 0 8.992 * [backup-simplify]: Simplify (+ 0 0) into 0 8.993 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.994 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.995 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.997 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.997 * [taylor]: Taking taylor expansion of 0 in k 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.000 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 9.001 * [backup-simplify]: Simplify (+ 0 0) into 0 9.002 * [backup-simplify]: Simplify (- 1) into -1 9.002 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.004 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 9.006 * [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)))) 9.008 * [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)))))) 9.010 * [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)))))) 9.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.013 * [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 9.014 * [backup-simplify]: Simplify (- 0) into 0 9.014 * [backup-simplify]: Simplify (+ 0 0) into 0 9.014 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 9.015 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 9.016 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.018 * [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 9.018 * [taylor]: Taking taylor expansion of 0 in k 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.021 * [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 9.022 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 9.022 * [backup-simplify]: Simplify (+ 0 0) into 0 9.023 * [backup-simplify]: Simplify (- 0) into 0 9.023 * [backup-simplify]: Simplify (+ 0 0) into 0 9.024 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 9.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 9.028 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 9.031 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 9.040 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 9.041 * [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)))) 9.041 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.041 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.041 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.041 * [taylor]: Taking taylor expansion of 0.5 in k 9.041 * [backup-simplify]: Simplify 0.5 into 0.5 9.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.041 * [taylor]: Taking taylor expansion of 1.0 in k 9.041 * [backup-simplify]: Simplify 1.0 into 1.0 9.041 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.041 * [taylor]: Taking taylor expansion of k in k 9.041 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [backup-simplify]: Simplify (/ 1 1) into 1 9.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.042 * [taylor]: Taking taylor expansion of 2.0 in k 9.042 * [backup-simplify]: Simplify 2.0 into 2.0 9.042 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.042 * [taylor]: Taking taylor expansion of PI in k 9.042 * [backup-simplify]: Simplify PI into PI 9.042 * [taylor]: Taking taylor expansion of n in k 9.042 * [backup-simplify]: Simplify n into n 9.042 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.042 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 9.042 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 9.042 * [backup-simplify]: Simplify (- 1) into -1 9.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.043 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.043 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 9.043 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 9.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.043 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.043 * [taylor]: Taking taylor expansion of 0.5 in n 9.043 * [backup-simplify]: Simplify 0.5 into 0.5 9.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.043 * [taylor]: Taking taylor expansion of 1.0 in n 9.043 * [backup-simplify]: Simplify 1.0 into 1.0 9.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.043 * [taylor]: Taking taylor expansion of k in n 9.043 * [backup-simplify]: Simplify k into k 9.044 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.044 * [taylor]: Taking taylor expansion of 2.0 in n 9.044 * [backup-simplify]: Simplify 2.0 into 2.0 9.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.044 * [taylor]: Taking taylor expansion of PI in n 9.044 * [backup-simplify]: Simplify PI into PI 9.044 * [taylor]: Taking taylor expansion of n in n 9.044 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify 1 into 1 9.044 * [backup-simplify]: Simplify (/ PI 1) into PI 9.044 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.045 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.045 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.045 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.045 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.047 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 9.048 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.048 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.048 * [taylor]: Taking taylor expansion of 0.5 in n 9.048 * [backup-simplify]: Simplify 0.5 into 0.5 9.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.048 * [taylor]: Taking taylor expansion of 1.0 in n 9.048 * [backup-simplify]: Simplify 1.0 into 1.0 9.048 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.048 * [taylor]: Taking taylor expansion of k in n 9.048 * [backup-simplify]: Simplify k into k 9.048 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.048 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.048 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.048 * [taylor]: Taking taylor expansion of 2.0 in n 9.048 * [backup-simplify]: Simplify 2.0 into 2.0 9.048 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.048 * [taylor]: Taking taylor expansion of PI in n 9.048 * [backup-simplify]: Simplify PI into PI 9.048 * [taylor]: Taking taylor expansion of n in n 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (/ PI 1) into PI 9.049 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.049 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.049 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.049 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.049 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.050 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.051 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 9.052 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.052 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 9.052 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 9.052 * [taylor]: Taking taylor expansion of 0.5 in k 9.052 * [backup-simplify]: Simplify 0.5 into 0.5 9.052 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 9.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.052 * [taylor]: Taking taylor expansion of 1.0 in k 9.052 * [backup-simplify]: Simplify 1.0 into 1.0 9.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.052 * [taylor]: Taking taylor expansion of k in k 9.052 * [backup-simplify]: Simplify 0 into 0 9.052 * [backup-simplify]: Simplify 1 into 1 9.053 * [backup-simplify]: Simplify (/ 1 1) into 1 9.053 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.053 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.053 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.053 * [taylor]: Taking taylor expansion of 2.0 in k 9.053 * [backup-simplify]: Simplify 2.0 into 2.0 9.053 * [taylor]: Taking taylor expansion of PI in k 9.053 * [backup-simplify]: Simplify PI into PI 9.053 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.054 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 9.054 * [taylor]: Taking taylor expansion of (log n) in k 9.054 * [taylor]: Taking taylor expansion of n in k 9.054 * [backup-simplify]: Simplify n into n 9.054 * [backup-simplify]: Simplify (log n) into (log n) 9.054 * [backup-simplify]: Simplify (- 1) into -1 9.054 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.054 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.055 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 9.056 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 9.056 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 9.057 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.058 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 9.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.060 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 9.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.060 * [backup-simplify]: Simplify (- 0) into 0 9.061 * [backup-simplify]: Simplify (+ 0 0) into 0 9.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.063 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 9.064 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.064 * [taylor]: Taking taylor expansion of 0 in k 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.070 * [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 9.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.070 * [backup-simplify]: Simplify (- 0) into 0 9.071 * [backup-simplify]: Simplify (+ 0 0) into 0 9.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.073 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 9.074 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.075 * [taylor]: Taking taylor expansion of 0 in k 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.080 * [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 9.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.081 * [backup-simplify]: Simplify (- 0) into 0 9.081 * [backup-simplify]: Simplify (+ 0 0) into 0 9.083 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.084 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 9.086 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 9.089 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.089 * [taylor]: Taking taylor expansion of 0 in k 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 0 into 0 9.091 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 9.091 * [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))) 9.091 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.092 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.092 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.092 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.092 * [taylor]: Taking taylor expansion of 0.5 in k 9.092 * [backup-simplify]: Simplify 0.5 into 0.5 9.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.092 * [taylor]: Taking taylor expansion of k in k 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [backup-simplify]: Simplify (/ 1 1) into 1 9.092 * [taylor]: Taking taylor expansion of 1.0 in k 9.092 * [backup-simplify]: Simplify 1.0 into 1.0 9.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.092 * [taylor]: Taking taylor expansion of -2.0 in k 9.092 * [backup-simplify]: Simplify -2.0 into -2.0 9.092 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.092 * [taylor]: Taking taylor expansion of PI in k 9.092 * [backup-simplify]: Simplify PI into PI 9.092 * [taylor]: Taking taylor expansion of n in k 9.092 * [backup-simplify]: Simplify n into n 9.092 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 9.093 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 9.093 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 9.093 * [backup-simplify]: Simplify (+ 1 0) into 1 9.094 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.094 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 9.094 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 9.094 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.094 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.094 * [taylor]: Taking taylor expansion of 0.5 in n 9.094 * [backup-simplify]: Simplify 0.5 into 0.5 9.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.094 * [taylor]: Taking taylor expansion of k in n 9.094 * [backup-simplify]: Simplify k into k 9.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.094 * [taylor]: Taking taylor expansion of 1.0 in n 9.094 * [backup-simplify]: Simplify 1.0 into 1.0 9.094 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.094 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.094 * [taylor]: Taking taylor expansion of -2.0 in n 9.094 * [backup-simplify]: Simplify -2.0 into -2.0 9.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.094 * [taylor]: Taking taylor expansion of PI in n 9.094 * [backup-simplify]: Simplify PI into PI 9.094 * [taylor]: Taking taylor expansion of n in n 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.095 * [backup-simplify]: Simplify (/ PI 1) into PI 9.095 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.096 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.096 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.096 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.097 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.097 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 9.098 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.098 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.098 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.098 * [taylor]: Taking taylor expansion of 0.5 in n 9.098 * [backup-simplify]: Simplify 0.5 into 0.5 9.098 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.098 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.098 * [taylor]: Taking taylor expansion of k in n 9.098 * [backup-simplify]: Simplify k into k 9.098 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.098 * [taylor]: Taking taylor expansion of 1.0 in n 9.098 * [backup-simplify]: Simplify 1.0 into 1.0 9.098 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.099 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.099 * [taylor]: Taking taylor expansion of -2.0 in n 9.099 * [backup-simplify]: Simplify -2.0 into -2.0 9.099 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.099 * [taylor]: Taking taylor expansion of PI in n 9.099 * [backup-simplify]: Simplify PI into PI 9.099 * [taylor]: Taking taylor expansion of n in n 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 1 into 1 9.099 * [backup-simplify]: Simplify (/ PI 1) into PI 9.099 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.100 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.100 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.100 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.102 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 9.102 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.102 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 9.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 9.103 * [taylor]: Taking taylor expansion of 0.5 in k 9.103 * [backup-simplify]: Simplify 0.5 into 0.5 9.103 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 9.103 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.103 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.103 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.103 * [taylor]: Taking taylor expansion of -2.0 in k 9.103 * [backup-simplify]: Simplify -2.0 into -2.0 9.103 * [taylor]: Taking taylor expansion of PI in k 9.103 * [backup-simplify]: Simplify PI into PI 9.103 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.104 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 9.104 * [taylor]: Taking taylor expansion of (log n) in k 9.104 * [taylor]: Taking taylor expansion of n in k 9.104 * [backup-simplify]: Simplify n into n 9.104 * [backup-simplify]: Simplify (log n) into (log n) 9.104 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.104 * [taylor]: Taking taylor expansion of k in k 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify 1 into 1 9.104 * [backup-simplify]: Simplify (/ 1 1) into 1 9.104 * [taylor]: Taking taylor expansion of 1.0 in k 9.104 * [backup-simplify]: Simplify 1.0 into 1.0 9.104 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.105 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 9.105 * [backup-simplify]: Simplify (+ 1 0) into 1 9.106 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 9.106 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 9.107 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.108 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 9.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.109 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 9.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.110 * [backup-simplify]: Simplify (+ 0 0) into 0 9.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.112 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.112 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 9.114 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.114 * [taylor]: Taking taylor expansion of 0 in k 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.116 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.119 * [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 9.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.120 * [backup-simplify]: Simplify (+ 0 0) into 0 9.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.124 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 9.126 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.126 * [taylor]: Taking taylor expansion of 0 in k 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.129 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.135 * [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 9.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.136 * [backup-simplify]: Simplify (+ 0 0) into 0 9.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 9.140 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 9.143 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.143 * [taylor]: Taking taylor expansion of 0 in k 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 9.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 9.145 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.145 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.145 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.145 * [taylor]: Taking taylor expansion of 1.0 in k 9.145 * [backup-simplify]: Simplify 1.0 into 1.0 9.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.145 * [taylor]: Taking taylor expansion of k in k 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 1 into 1 9.145 * [backup-simplify]: Simplify (/ 1 1) into 1 9.146 * [backup-simplify]: Simplify (sqrt 0) into 0 9.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.147 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.147 * [taylor]: Taking taylor expansion of 1.0 in k 9.147 * [backup-simplify]: Simplify 1.0 into 1.0 9.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.147 * [taylor]: Taking taylor expansion of k in k 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 1 into 1 9.147 * [backup-simplify]: Simplify (/ 1 1) into 1 9.147 * [backup-simplify]: Simplify (sqrt 0) into 0 9.148 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.149 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.150 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.153 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.153 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.157 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.158 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.158 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 9.159 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.159 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.159 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.159 * [taylor]: Taking taylor expansion of 1.0 in k 9.159 * [backup-simplify]: Simplify 1.0 into 1.0 9.159 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.159 * [taylor]: Taking taylor expansion of k in k 9.159 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify 1 into 1 9.159 * [backup-simplify]: Simplify (sqrt 0) into 0 9.160 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.160 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.160 * [taylor]: Taking taylor expansion of 1.0 in k 9.160 * [backup-simplify]: Simplify 1.0 into 1.0 9.160 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.160 * [taylor]: Taking taylor expansion of k in k 9.160 * [backup-simplify]: Simplify 0 into 0 9.160 * [backup-simplify]: Simplify 1 into 1 9.160 * [backup-simplify]: Simplify (sqrt 0) into 0 9.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.161 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.161 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.164 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.165 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.169 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.170 * [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)))))))) 9.170 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.170 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.170 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.170 * [taylor]: Taking taylor expansion of 1.0 in k 9.170 * [backup-simplify]: Simplify 1.0 into 1.0 9.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.170 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.171 * [taylor]: Taking taylor expansion of -1 in k 9.171 * [backup-simplify]: Simplify -1 into -1 9.171 * [taylor]: Taking taylor expansion of k in k 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 1 into 1 9.171 * [backup-simplify]: Simplify (/ -1 1) into -1 9.171 * [backup-simplify]: Simplify (sqrt 0) into 0 9.172 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.172 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.172 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.172 * [taylor]: Taking taylor expansion of 1.0 in k 9.172 * [backup-simplify]: Simplify 1.0 into 1.0 9.172 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.172 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.172 * [taylor]: Taking taylor expansion of -1 in k 9.172 * [backup-simplify]: Simplify -1 into -1 9.172 * [taylor]: Taking taylor expansion of k in k 9.172 * [backup-simplify]: Simplify 0 into 0 9.172 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ -1 1) into -1 9.175 * [backup-simplify]: Simplify (sqrt 0) into 0 9.177 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.177 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.182 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.184 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.185 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.195 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.195 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.196 * [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))))) 9.196 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.197 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 9.197 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 9.197 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.197 * [taylor]: Taking taylor expansion of 1.0 in k 9.197 * [backup-simplify]: Simplify 1.0 into 1.0 9.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.197 * [taylor]: Taking taylor expansion of k in k 9.197 * [backup-simplify]: Simplify 0 into 0 9.197 * [backup-simplify]: Simplify 1 into 1 9.197 * [backup-simplify]: Simplify (/ 1 1) into 1 9.198 * [backup-simplify]: Simplify (sqrt 0) into 0 9.199 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.199 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 9.199 * [taylor]: Taking taylor expansion of 1.0 in k 9.199 * [backup-simplify]: Simplify 1.0 into 1.0 9.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.199 * [taylor]: Taking taylor expansion of k in k 9.199 * [backup-simplify]: Simplify 0 into 0 9.199 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [backup-simplify]: Simplify (sqrt 0) into 0 9.201 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.202 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.204 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.208 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.210 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.210 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.217 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.218 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.219 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 9.219 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 9.219 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 9.219 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.219 * [taylor]: Taking taylor expansion of 1.0 in k 9.219 * [backup-simplify]: Simplify 1.0 into 1.0 9.220 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.220 * [taylor]: Taking taylor expansion of k in k 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (sqrt 0) into 0 9.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 9.221 * [taylor]: Taking taylor expansion of 1.0 in k 9.221 * [backup-simplify]: Simplify 1.0 into 1.0 9.221 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.221 * [taylor]: Taking taylor expansion of k in k 9.221 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify 1 into 1 9.222 * [backup-simplify]: Simplify (sqrt 0) into 0 9.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.224 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.224 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 9.226 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.229 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.231 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 9.231 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.237 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 9.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.239 * [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)))))))) 9.239 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 9.240 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 9.240 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.240 * [taylor]: Taking taylor expansion of 1.0 in k 9.240 * [backup-simplify]: Simplify 1.0 into 1.0 9.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.240 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.240 * [taylor]: Taking taylor expansion of -1 in k 9.240 * [backup-simplify]: Simplify -1 into -1 9.240 * [taylor]: Taking taylor expansion of k in k 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify 1 into 1 9.240 * [backup-simplify]: Simplify (/ -1 1) into -1 9.241 * [backup-simplify]: Simplify (sqrt 0) into 0 9.242 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.242 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.242 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 9.242 * [taylor]: Taking taylor expansion of 1.0 in k 9.243 * [backup-simplify]: Simplify 1.0 into 1.0 9.243 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.243 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.243 * [taylor]: Taking taylor expansion of -1 in k 9.243 * [backup-simplify]: Simplify -1 into -1 9.243 * [taylor]: Taking taylor expansion of k in k 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (/ -1 1) into -1 9.243 * [backup-simplify]: Simplify (sqrt 0) into 0 9.245 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.245 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 9.245 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.252 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.252 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.261 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.262 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.263 * [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))))) 9.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 9.264 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.264 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.264 * [taylor]: Taking taylor expansion of 2.0 in n 9.264 * [backup-simplify]: Simplify 2.0 into 2.0 9.264 * [taylor]: Taking taylor expansion of (* n PI) in n 9.264 * [taylor]: Taking taylor expansion of n in n 9.264 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 1 into 1 9.264 * [taylor]: Taking taylor expansion of PI in n 9.264 * [backup-simplify]: Simplify PI into PI 9.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.264 * [taylor]: Taking taylor expansion of 2.0 in n 9.264 * [backup-simplify]: Simplify 2.0 into 2.0 9.264 * [taylor]: Taking taylor expansion of (* n PI) in n 9.264 * [taylor]: Taking taylor expansion of n in n 9.264 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 1 into 1 9.264 * [taylor]: Taking taylor expansion of PI in n 9.264 * [backup-simplify]: Simplify PI into PI 9.265 * [backup-simplify]: Simplify (* 0 PI) into 0 9.265 * [backup-simplify]: Simplify (* 2.0 0) into 0 9.265 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.268 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 9.269 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.271 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.274 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.276 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.276 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 9.280 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.283 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 9.287 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 9.287 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 9.288 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 9.288 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.289 * [taylor]: Taking taylor expansion of 2.0 in n 9.289 * [backup-simplify]: Simplify 2.0 into 2.0 9.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.289 * [taylor]: Taking taylor expansion of PI in n 9.289 * [backup-simplify]: Simplify PI into PI 9.289 * [taylor]: Taking taylor expansion of n in n 9.289 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify 1 into 1 9.289 * [backup-simplify]: Simplify (/ PI 1) into PI 9.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.289 * [taylor]: Taking taylor expansion of 2.0 in n 9.289 * [backup-simplify]: Simplify 2.0 into 2.0 9.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.289 * [taylor]: Taking taylor expansion of PI in n 9.289 * [backup-simplify]: Simplify PI into PI 9.289 * [taylor]: Taking taylor expansion of n in n 9.290 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify 1 into 1 9.290 * [backup-simplify]: Simplify (/ PI 1) into PI 9.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.291 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 9.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 9.293 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.295 * [backup-simplify]: Simplify 0 into 0 9.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.297 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.302 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.303 * [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 9.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.305 * [backup-simplify]: Simplify 0 into 0 9.306 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 9.306 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 9.306 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.307 * [taylor]: Taking taylor expansion of -2.0 in n 9.307 * [backup-simplify]: Simplify -2.0 into -2.0 9.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.307 * [taylor]: Taking taylor expansion of PI in n 9.307 * [backup-simplify]: Simplify PI into PI 9.307 * [taylor]: Taking taylor expansion of n in n 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 1 into 1 9.307 * [backup-simplify]: Simplify (/ PI 1) into PI 9.307 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.307 * [taylor]: Taking taylor expansion of -2.0 in n 9.307 * [backup-simplify]: Simplify -2.0 into -2.0 9.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.307 * [taylor]: Taking taylor expansion of PI in n 9.307 * [backup-simplify]: Simplify PI into PI 9.307 * [taylor]: Taking taylor expansion of n in n 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 1 into 1 9.308 * [backup-simplify]: Simplify (/ PI 1) into PI 9.309 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.309 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 9.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.311 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.313 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 9.313 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.315 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.315 * [backup-simplify]: Simplify 0 into 0 9.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.320 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.323 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.324 * [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 9.326 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 9.327 * * * [progress]: simplifying candidates 9.330 * [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 (/ 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))) (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 (* (* 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) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 9.335 * * [simplify]: iteration 0: 242 enodes 9.454 * * [simplify]: iteration 1: 614 enodes 9.762 * * [simplify]: iteration 2: 1862 enodes 10.637 * * [simplify]: iteration complete: 5001 enodes 10.637 * * [simplify]: Extracting #0: cost 87 inf + 0 10.638 * * [simplify]: Extracting #1: cost 648 inf + 43 10.650 * * [simplify]: Extracting #2: cost 1474 inf + 2771 10.671 * * [simplify]: Extracting #3: cost 1327 inf + 67527 10.721 * * [simplify]: Extracting #4: cost 587 inf + 292606 10.884 * * [simplify]: Extracting #5: cost 194 inf + 451090 11.015 * * [simplify]: Extracting #6: cost 49 inf + 479708 11.147 * * [simplify]: Extracting #7: cost 7 inf + 489506 11.304 * * [simplify]: Extracting #8: cost 0 inf + 492581 11.448 * [simplify]: Simplified to: (expm1 (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* 2.0 (* n PI)) (/ k 2.0)) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* n PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* n PI)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* 2.0 (* n PI)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (- 1.0 k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* n PI)))) (exp (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (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))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (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))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (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 (* 2.0 (* n PI))) (log1p (* 2.0 (* n PI))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* 2.0 (* n PI))) (* (* (* (* (* PI 2.0) n) (* (* PI 2.0) n)) n) (* PI 2.0)) (* (* (* (* (* PI 2.0) n) (* (* PI 2.0) n)) n) (* PI 2.0)) (* (cbrt (* 2.0 (* n PI))) (cbrt (* 2.0 (* n PI)))) (cbrt (* 2.0 (* n PI))) (* (* (* (* (* PI 2.0) n) (* (* PI 2.0) n)) n) (* PI 2.0)) (sqrt (* 2.0 (* n PI))) (sqrt (* 2.0 (* n PI))) (* (* (* 2.0 PI) (cbrt n)) (cbrt n)) (* (sqrt n) (* PI 2.0)) (* PI 2.0) (* n PI) (- (+ (fma (* (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0)))) (exp (* 0.5 (log (* 2.0 (* n PI)))))) 0.125 (exp (* 0.5 (log (* 2.0 (* n PI)))))) (* (* k k) (+ (* (* 0.25 (log (* PI 2.0))) (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (log n))) (* (* 0.125 (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (log n))) (log n))))) (* 0.5 (* (* k (exp (* 0.5 (log (* 2.0 (* n PI)))))) (log (* 2.0 (* n PI)))))) (exp (* (* (- 1.0 k) 0.5) (log (* 2.0 (* n PI))))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (fma (- +nan.0) (* k k) (fma (- +nan.0) k +nan.0)) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k)))) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) +nan.0)) (fma (- +nan.0) (* k k) (fma (- +nan.0) k +nan.0)) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (* (* k k) k)))) (fma +nan.0 (/ -1 (* k k)) (- (/ +nan.0 k) +nan.0)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 11.469 * * * [progress]: adding candidates to table 12.397 * * [progress]: iteration 3 / 4 12.397 * * * [progress]: picking best candidate 12.454 * * * * [pick]: Picked # 12.454 * * * [progress]: localizing error 12.492 * * * [progress]: generating rewritten candidates 12.492 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 12.512 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 12.543 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 12.560 * * * [progress]: generating series expansions 12.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.560 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 12.561 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 12.561 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 12.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 12.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 12.561 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.561 * [taylor]: Taking taylor expansion of 0.5 in k 12.561 * [backup-simplify]: Simplify 0.5 into 0.5 12.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.561 * [taylor]: Taking taylor expansion of 1.0 in k 12.561 * [backup-simplify]: Simplify 1.0 into 1.0 12.561 * [taylor]: Taking taylor expansion of k in k 12.561 * [backup-simplify]: Simplify 0 into 0 12.561 * [backup-simplify]: Simplify 1 into 1 12.561 * [taylor]: Taking taylor expansion of (log n) in k 12.561 * [taylor]: Taking taylor expansion of n in k 12.561 * [backup-simplify]: Simplify n into n 12.561 * [backup-simplify]: Simplify (log n) into (log n) 12.562 * [backup-simplify]: Simplify (- 0) into 0 12.562 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.563 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.563 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 12.563 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.563 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.563 * [taylor]: Taking taylor expansion of 0.5 in n 12.563 * [backup-simplify]: Simplify 0.5 into 0.5 12.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.563 * [taylor]: Taking taylor expansion of 1.0 in n 12.563 * [backup-simplify]: Simplify 1.0 into 1.0 12.563 * [taylor]: Taking taylor expansion of k in n 12.563 * [backup-simplify]: Simplify k into k 12.563 * [taylor]: Taking taylor expansion of (log n) in n 12.563 * [taylor]: Taking taylor expansion of n in n 12.563 * [backup-simplify]: Simplify 0 into 0 12.563 * [backup-simplify]: Simplify 1 into 1 12.564 * [backup-simplify]: Simplify (log 1) into 0 12.564 * [backup-simplify]: Simplify (- k) into (- k) 12.564 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.564 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.565 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.565 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.565 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 12.565 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 12.565 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 12.565 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.565 * [taylor]: Taking taylor expansion of 0.5 in n 12.565 * [backup-simplify]: Simplify 0.5 into 0.5 12.565 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.565 * [taylor]: Taking taylor expansion of 1.0 in n 12.565 * [backup-simplify]: Simplify 1.0 into 1.0 12.565 * [taylor]: Taking taylor expansion of k in n 12.565 * [backup-simplify]: Simplify k into k 12.565 * [taylor]: Taking taylor expansion of (log n) in n 12.565 * [taylor]: Taking taylor expansion of n in n 12.565 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify 1 into 1 12.566 * [backup-simplify]: Simplify (log 1) into 0 12.566 * [backup-simplify]: Simplify (- k) into (- k) 12.566 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.566 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.566 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.566 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 12.566 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 12.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 12.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 12.567 * [taylor]: Taking taylor expansion of 0.5 in k 12.567 * [backup-simplify]: Simplify 0.5 into 0.5 12.567 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 12.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.567 * [taylor]: Taking taylor expansion of 1.0 in k 12.567 * [backup-simplify]: Simplify 1.0 into 1.0 12.567 * [taylor]: Taking taylor expansion of k in k 12.567 * [backup-simplify]: Simplify 0 into 0 12.567 * [backup-simplify]: Simplify 1 into 1 12.567 * [taylor]: Taking taylor expansion of (log n) in k 12.567 * [taylor]: Taking taylor expansion of n in k 12.567 * [backup-simplify]: Simplify n into n 12.567 * [backup-simplify]: Simplify (log n) into (log n) 12.567 * [backup-simplify]: Simplify (- 0) into 0 12.568 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.568 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.568 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 12.568 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 12.568 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 12.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.570 * [backup-simplify]: Simplify (- 0) into 0 12.570 * [backup-simplify]: Simplify (+ 0 0) into 0 12.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.571 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.571 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 12.572 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.572 * [taylor]: Taking taylor expansion of 0 in k 12.572 * [backup-simplify]: Simplify 0 into 0 12.572 * [backup-simplify]: Simplify 0 into 0 12.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.574 * [backup-simplify]: Simplify (- 1) into -1 12.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.575 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 12.575 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 12.575 * [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))) 12.576 * [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))) 12.579 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.579 * [backup-simplify]: Simplify (- 0) into 0 12.580 * [backup-simplify]: Simplify (+ 0 0) into 0 12.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.581 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.582 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 12.583 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.583 * [taylor]: Taking taylor expansion of 0 in k 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.583 * [backup-simplify]: Simplify 0 into 0 12.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.585 * [backup-simplify]: Simplify (- 0) into 0 12.586 * [backup-simplify]: Simplify (+ 0 0) into 0 12.586 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 12.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 12.587 * [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))) 12.588 * [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))) 12.588 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 12.588 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 12.588 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.588 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 12.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 12.589 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.589 * [taylor]: Taking taylor expansion of 0.5 in k 12.589 * [backup-simplify]: Simplify 0.5 into 0.5 12.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.589 * [taylor]: Taking taylor expansion of 1.0 in k 12.589 * [backup-simplify]: Simplify 1.0 into 1.0 12.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.589 * [taylor]: Taking taylor expansion of k in k 12.589 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify 1 into 1 12.589 * [backup-simplify]: Simplify (/ 1 1) into 1 12.589 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 12.589 * [taylor]: Taking taylor expansion of (/ 1 n) in k 12.589 * [taylor]: Taking taylor expansion of n in k 12.589 * [backup-simplify]: Simplify n into n 12.589 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 12.589 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 12.589 * [backup-simplify]: Simplify (- 1) into -1 12.590 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.590 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.590 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 12.590 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 12.590 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.590 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.590 * [taylor]: Taking taylor expansion of 0.5 in n 12.590 * [backup-simplify]: Simplify 0.5 into 0.5 12.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.590 * [taylor]: Taking taylor expansion of 1.0 in n 12.590 * [backup-simplify]: Simplify 1.0 into 1.0 12.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.590 * [taylor]: Taking taylor expansion of k in n 12.590 * [backup-simplify]: Simplify k into k 12.590 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.590 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.590 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.590 * [taylor]: Taking taylor expansion of n in n 12.590 * [backup-simplify]: Simplify 0 into 0 12.590 * [backup-simplify]: Simplify 1 into 1 12.591 * [backup-simplify]: Simplify (/ 1 1) into 1 12.591 * [backup-simplify]: Simplify (log 1) into 0 12.591 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.591 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.591 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.591 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 12.592 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 12.592 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 12.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 12.592 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.592 * [taylor]: Taking taylor expansion of 0.5 in n 12.592 * [backup-simplify]: Simplify 0.5 into 0.5 12.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.592 * [taylor]: Taking taylor expansion of 1.0 in n 12.592 * [backup-simplify]: Simplify 1.0 into 1.0 12.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.592 * [taylor]: Taking taylor expansion of k in n 12.592 * [backup-simplify]: Simplify k into k 12.592 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.592 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 12.592 * [taylor]: Taking taylor expansion of (/ 1 n) in n 12.592 * [taylor]: Taking taylor expansion of n in n 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [backup-simplify]: Simplify (/ 1 1) into 1 12.592 * [backup-simplify]: Simplify (log 1) into 0 12.592 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.592 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.593 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.593 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.593 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 12.593 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 12.593 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 12.593 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 12.593 * [taylor]: Taking taylor expansion of -0.5 in k 12.593 * [backup-simplify]: Simplify -0.5 into -0.5 12.593 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 12.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.593 * [taylor]: Taking taylor expansion of 1.0 in k 12.593 * [backup-simplify]: Simplify 1.0 into 1.0 12.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.593 * [taylor]: Taking taylor expansion of k in k 12.593 * [backup-simplify]: Simplify 0 into 0 12.593 * [backup-simplify]: Simplify 1 into 1 12.594 * [backup-simplify]: Simplify (/ 1 1) into 1 12.594 * [taylor]: Taking taylor expansion of (log n) in k 12.594 * [taylor]: Taking taylor expansion of n in k 12.594 * [backup-simplify]: Simplify n into n 12.594 * [backup-simplify]: Simplify (log n) into (log n) 12.594 * [backup-simplify]: Simplify (- 1) into -1 12.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.594 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 12.594 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 12.594 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 12.594 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 12.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.596 * [backup-simplify]: Simplify (- 0) into 0 12.596 * [backup-simplify]: Simplify (+ 0 0) into 0 12.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.597 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 12.598 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.598 * [taylor]: Taking taylor expansion of 0 in k 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.600 * [backup-simplify]: Simplify (- 0) into 0 12.601 * [backup-simplify]: Simplify (+ 0 0) into 0 12.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.602 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 12.603 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.603 * [taylor]: Taking taylor expansion of 0 in k 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify 0 into 0 12.603 * [backup-simplify]: Simplify 0 into 0 12.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.606 * [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 12.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.607 * [backup-simplify]: Simplify (- 0) into 0 12.607 * [backup-simplify]: Simplify (+ 0 0) into 0 12.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.608 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 12.609 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 12.610 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.610 * [taylor]: Taking taylor expansion of 0 in k 12.610 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 12.610 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 12.610 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.610 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 12.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 12.610 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.610 * [taylor]: Taking taylor expansion of 0.5 in k 12.610 * [backup-simplify]: Simplify 0.5 into 0.5 12.610 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.610 * [taylor]: Taking taylor expansion of k in k 12.610 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify 1 into 1 12.611 * [backup-simplify]: Simplify (/ 1 1) into 1 12.611 * [taylor]: Taking taylor expansion of 1.0 in k 12.611 * [backup-simplify]: Simplify 1.0 into 1.0 12.611 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 12.611 * [taylor]: Taking taylor expansion of (/ -1 n) in k 12.611 * [taylor]: Taking taylor expansion of -1 in k 12.611 * [backup-simplify]: Simplify -1 into -1 12.611 * [taylor]: Taking taylor expansion of n in k 12.611 * [backup-simplify]: Simplify n into n 12.611 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 12.611 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 12.611 * [backup-simplify]: Simplify (+ 1 0) into 1 12.611 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.611 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 12.612 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 12.612 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.612 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.612 * [taylor]: Taking taylor expansion of 0.5 in n 12.612 * [backup-simplify]: Simplify 0.5 into 0.5 12.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.612 * [taylor]: Taking taylor expansion of k in n 12.612 * [backup-simplify]: Simplify k into k 12.612 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.612 * [taylor]: Taking taylor expansion of 1.0 in n 12.612 * [backup-simplify]: Simplify 1.0 into 1.0 12.612 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.612 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.612 * [taylor]: Taking taylor expansion of -1 in n 12.612 * [backup-simplify]: Simplify -1 into -1 12.612 * [taylor]: Taking taylor expansion of n in n 12.612 * [backup-simplify]: Simplify 0 into 0 12.612 * [backup-simplify]: Simplify 1 into 1 12.612 * [backup-simplify]: Simplify (/ -1 1) into -1 12.612 * [backup-simplify]: Simplify (log -1) into (log -1) 12.612 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.613 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.613 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.614 * [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)))) 12.614 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 12.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 12.614 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.614 * [taylor]: Taking taylor expansion of 0.5 in n 12.614 * [backup-simplify]: Simplify 0.5 into 0.5 12.614 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.614 * [taylor]: Taking taylor expansion of k in n 12.614 * [backup-simplify]: Simplify k into k 12.614 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.614 * [taylor]: Taking taylor expansion of 1.0 in n 12.614 * [backup-simplify]: Simplify 1.0 into 1.0 12.614 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 12.614 * [taylor]: Taking taylor expansion of (/ -1 n) in n 12.614 * [taylor]: Taking taylor expansion of -1 in n 12.614 * [backup-simplify]: Simplify -1 into -1 12.614 * [taylor]: Taking taylor expansion of n in n 12.614 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify 1 into 1 12.614 * [backup-simplify]: Simplify (/ -1 1) into -1 12.615 * [backup-simplify]: Simplify (log -1) into (log -1) 12.615 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.615 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.615 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.616 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 12.616 * [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)))) 12.616 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 12.616 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 12.616 * [taylor]: Taking taylor expansion of 0.5 in k 12.616 * [backup-simplify]: Simplify 0.5 into 0.5 12.616 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 12.616 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 12.616 * [taylor]: Taking taylor expansion of (log -1) in k 12.616 * [taylor]: Taking taylor expansion of -1 in k 12.616 * [backup-simplify]: Simplify -1 into -1 12.616 * [backup-simplify]: Simplify (log -1) into (log -1) 12.617 * [taylor]: Taking taylor expansion of (log n) in k 12.617 * [taylor]: Taking taylor expansion of n in k 12.617 * [backup-simplify]: Simplify n into n 12.617 * [backup-simplify]: Simplify (log n) into (log n) 12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.617 * [taylor]: Taking taylor expansion of k in k 12.617 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify 1 into 1 12.617 * [backup-simplify]: Simplify (/ 1 1) into 1 12.617 * [taylor]: Taking taylor expansion of 1.0 in k 12.617 * [backup-simplify]: Simplify 1.0 into 1.0 12.617 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.617 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 12.618 * [backup-simplify]: Simplify (+ 1 0) into 1 12.618 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 12.618 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 12.619 * [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)))) 12.619 * [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)))) 12.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 12.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.623 * [backup-simplify]: Simplify (+ 0 0) into 0 12.624 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.625 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 12.625 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.626 * [taylor]: Taking taylor expansion of 0 in k 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.628 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.628 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.629 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.630 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 12.631 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.631 * [taylor]: Taking taylor expansion of 0 in k 12.631 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify 0 into 0 12.631 * [backup-simplify]: Simplify 0 into 0 12.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.634 * [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 12.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.635 * [backup-simplify]: Simplify (+ 0 0) into 0 12.636 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 12.637 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 12.638 * [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 12.638 * [taylor]: Taking taylor expansion of 0 in k 12.638 * [backup-simplify]: Simplify 0 into 0 12.638 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 12.639 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 12.639 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 12.639 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 12.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 12.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 12.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.640 * [taylor]: Taking taylor expansion of 0.5 in k 12.640 * [backup-simplify]: Simplify 0.5 into 0.5 12.640 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.640 * [taylor]: Taking taylor expansion of 1.0 in k 12.640 * [backup-simplify]: Simplify 1.0 into 1.0 12.640 * [taylor]: Taking taylor expansion of k in k 12.640 * [backup-simplify]: Simplify 0 into 0 12.640 * [backup-simplify]: Simplify 1 into 1 12.640 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.640 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.640 * [taylor]: Taking taylor expansion of 2.0 in k 12.640 * [backup-simplify]: Simplify 2.0 into 2.0 12.640 * [taylor]: Taking taylor expansion of PI in k 12.640 * [backup-simplify]: Simplify PI into PI 12.640 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.641 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.641 * [backup-simplify]: Simplify (- 0) into 0 12.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.642 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.643 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 12.644 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 12.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 12.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 12.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.644 * [taylor]: Taking taylor expansion of 0.5 in k 12.644 * [backup-simplify]: Simplify 0.5 into 0.5 12.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.644 * [taylor]: Taking taylor expansion of 1.0 in k 12.644 * [backup-simplify]: Simplify 1.0 into 1.0 12.644 * [taylor]: Taking taylor expansion of k in k 12.644 * [backup-simplify]: Simplify 0 into 0 12.645 * [backup-simplify]: Simplify 1 into 1 12.645 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.645 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.645 * [taylor]: Taking taylor expansion of 2.0 in k 12.645 * [backup-simplify]: Simplify 2.0 into 2.0 12.645 * [taylor]: Taking taylor expansion of PI in k 12.645 * [backup-simplify]: Simplify PI into PI 12.645 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.646 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.646 * [backup-simplify]: Simplify (- 0) into 0 12.646 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.647 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.648 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 12.649 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 12.650 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 12.651 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.652 * [backup-simplify]: Simplify (- 1) into -1 12.652 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.653 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.655 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 12.663 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 12.667 * [backup-simplify]: Simplify (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) into (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) 12.668 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.670 * [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 12.670 * [backup-simplify]: Simplify (- 0) into 0 12.670 * [backup-simplify]: Simplify (+ 0 0) into 0 12.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 12.690 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 12.699 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 12.716 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) 12.717 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 12.717 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 12.717 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.717 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.717 * [taylor]: Taking taylor expansion of 0.5 in k 12.717 * [backup-simplify]: Simplify 0.5 into 0.5 12.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.717 * [taylor]: Taking taylor expansion of 1.0 in k 12.717 * [backup-simplify]: Simplify 1.0 into 1.0 12.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.717 * [taylor]: Taking taylor expansion of k in k 12.717 * [backup-simplify]: Simplify 0 into 0 12.717 * [backup-simplify]: Simplify 1 into 1 12.718 * [backup-simplify]: Simplify (/ 1 1) into 1 12.718 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.718 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.718 * [taylor]: Taking taylor expansion of 2.0 in k 12.718 * [backup-simplify]: Simplify 2.0 into 2.0 12.718 * [taylor]: Taking taylor expansion of PI in k 12.718 * [backup-simplify]: Simplify PI into PI 12.718 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.719 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.720 * [backup-simplify]: Simplify (- 1) into -1 12.720 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.721 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.722 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 12.723 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 12.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 12.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 12.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.724 * [taylor]: Taking taylor expansion of 0.5 in k 12.724 * [backup-simplify]: Simplify 0.5 into 0.5 12.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.724 * [taylor]: Taking taylor expansion of 1.0 in k 12.724 * [backup-simplify]: Simplify 1.0 into 1.0 12.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.724 * [taylor]: Taking taylor expansion of k in k 12.724 * [backup-simplify]: Simplify 0 into 0 12.724 * [backup-simplify]: Simplify 1 into 1 12.724 * [backup-simplify]: Simplify (/ 1 1) into 1 12.724 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.724 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.724 * [taylor]: Taking taylor expansion of 2.0 in k 12.724 * [backup-simplify]: Simplify 2.0 into 2.0 12.724 * [taylor]: Taking taylor expansion of PI in k 12.724 * [backup-simplify]: Simplify PI into PI 12.725 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.726 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.726 * [backup-simplify]: Simplify (- 1) into -1 12.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.727 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.729 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 12.730 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 12.731 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 0 into 0 12.732 * [backup-simplify]: Simplify 0 into 0 12.733 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 12.734 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 12.734 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 12.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.734 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.734 * [taylor]: Taking taylor expansion of 0.5 in k 12.734 * [backup-simplify]: Simplify 0.5 into 0.5 12.734 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.734 * [taylor]: Taking taylor expansion of k in k 12.734 * [backup-simplify]: Simplify 0 into 0 12.734 * [backup-simplify]: Simplify 1 into 1 12.734 * [backup-simplify]: Simplify (/ 1 1) into 1 12.734 * [taylor]: Taking taylor expansion of 1.0 in k 12.734 * [backup-simplify]: Simplify 1.0 into 1.0 12.735 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.735 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.735 * [taylor]: Taking taylor expansion of 2.0 in k 12.735 * [backup-simplify]: Simplify 2.0 into 2.0 12.735 * [taylor]: Taking taylor expansion of PI in k 12.735 * [backup-simplify]: Simplify PI into PI 12.735 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.736 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.736 * [backup-simplify]: Simplify (+ 1 0) into 1 12.736 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.740 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 12.740 * [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)))) 12.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 12.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 12.741 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.741 * [taylor]: Taking taylor expansion of 0.5 in k 12.741 * [backup-simplify]: Simplify 0.5 into 0.5 12.741 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.741 * [taylor]: Taking taylor expansion of k in k 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 1 into 1 12.741 * [backup-simplify]: Simplify (/ 1 1) into 1 12.741 * [taylor]: Taking taylor expansion of 1.0 in k 12.741 * [backup-simplify]: Simplify 1.0 into 1.0 12.741 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.741 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.741 * [taylor]: Taking taylor expansion of 2.0 in k 12.741 * [backup-simplify]: Simplify 2.0 into 2.0 12.741 * [taylor]: Taking taylor expansion of PI in k 12.741 * [backup-simplify]: Simplify PI into PI 12.741 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.742 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.742 * [backup-simplify]: Simplify (+ 1 0) into 1 12.743 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.744 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 12.744 * [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)))) 12.745 * [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)))) 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.745 * [backup-simplify]: Simplify 0 into 0 12.746 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) 12.746 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 12.747 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 12.747 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 12.747 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 12.747 * [taylor]: Taking taylor expansion of 1.0 in k 12.747 * [backup-simplify]: Simplify 1.0 into 1.0 12.747 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 12.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 12.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 12.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.747 * [taylor]: Taking taylor expansion of 0.5 in k 12.747 * [backup-simplify]: Simplify 0.5 into 0.5 12.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.747 * [taylor]: Taking taylor expansion of 1.0 in k 12.747 * [backup-simplify]: Simplify 1.0 into 1.0 12.747 * [taylor]: Taking taylor expansion of k in k 12.747 * [backup-simplify]: Simplify 0 into 0 12.747 * [backup-simplify]: Simplify 1 into 1 12.747 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.747 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.747 * [taylor]: Taking taylor expansion of 2.0 in k 12.747 * [backup-simplify]: Simplify 2.0 into 2.0 12.747 * [taylor]: Taking taylor expansion of PI in k 12.747 * [backup-simplify]: Simplify PI into PI 12.747 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.748 * [backup-simplify]: Simplify (- 0) into 0 12.749 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.749 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.750 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 12.751 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 12.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.752 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.752 * [taylor]: Taking taylor expansion of k in k 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify 1 into 1 12.752 * [backup-simplify]: Simplify (/ 1 1) into 1 12.752 * [backup-simplify]: Simplify (sqrt 0) into 0 12.753 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 12.753 * [taylor]: Taking taylor expansion of 1.0 in k 12.753 * [backup-simplify]: Simplify 1.0 into 1.0 12.753 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 12.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 12.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 12.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 12.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.753 * [taylor]: Taking taylor expansion of 0.5 in k 12.753 * [backup-simplify]: Simplify 0.5 into 0.5 12.753 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.753 * [taylor]: Taking taylor expansion of 1.0 in k 12.753 * [backup-simplify]: Simplify 1.0 into 1.0 12.753 * [taylor]: Taking taylor expansion of k in k 12.753 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify 1 into 1 12.753 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.753 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.753 * [taylor]: Taking taylor expansion of 2.0 in k 12.753 * [backup-simplify]: Simplify 2.0 into 2.0 12.753 * [taylor]: Taking taylor expansion of PI in k 12.753 * [backup-simplify]: Simplify PI into PI 12.754 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.754 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.755 * [backup-simplify]: Simplify (- 0) into 0 12.755 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.755 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.756 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 12.758 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 12.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.758 * [taylor]: Taking taylor expansion of k in k 12.758 * [backup-simplify]: Simplify 0 into 0 12.758 * [backup-simplify]: Simplify 1 into 1 12.759 * [backup-simplify]: Simplify (/ 1 1) into 1 12.759 * [backup-simplify]: Simplify (sqrt 0) into 0 12.760 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.760 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) 0) into 0 12.760 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.760 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.762 * [backup-simplify]: Simplify (- 1) into -1 12.762 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.763 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 12.773 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 12.777 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 12.783 * [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))) 12.786 * [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))) 12.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.789 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.791 * [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 12.792 * [backup-simplify]: Simplify (- 0) into 0 12.792 * [backup-simplify]: Simplify (+ 0 0) into 0 12.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 12.802 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 12.815 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 12.833 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 12.845 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 12.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.851 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.858 * [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 12.858 * [backup-simplify]: Simplify (- 0) into 0 12.859 * [backup-simplify]: Simplify (+ 0 0) into 0 12.860 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 12.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 12.878 * [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 (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 12.902 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 PI) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 12.934 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 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) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 12.953 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +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) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 13.003 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log (* 2.0 PI)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) k) (- (* +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) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2))) (- (+ (* +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) k)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) k)))))))))))))) 13.004 * [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 (- 1.0 (/ 1 k)))) (sqrt k))) 13.004 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 13.004 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 13.004 * [taylor]: Taking taylor expansion of 1.0 in k 13.004 * [backup-simplify]: Simplify 1.0 into 1.0 13.004 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 13.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 13.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 13.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.004 * [taylor]: Taking taylor expansion of 0.5 in k 13.004 * [backup-simplify]: Simplify 0.5 into 0.5 13.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.004 * [taylor]: Taking taylor expansion of 1.0 in k 13.004 * [backup-simplify]: Simplify 1.0 into 1.0 13.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.005 * [taylor]: Taking taylor expansion of k in k 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [backup-simplify]: Simplify (/ 1 1) into 1 13.005 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.005 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.005 * [taylor]: Taking taylor expansion of 2.0 in k 13.005 * [backup-simplify]: Simplify 2.0 into 2.0 13.005 * [taylor]: Taking taylor expansion of PI in k 13.005 * [backup-simplify]: Simplify PI into PI 13.006 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.007 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.007 * [backup-simplify]: Simplify (- 1) into -1 13.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.008 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.010 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 13.011 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 13.012 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.012 * [taylor]: Taking taylor expansion of k in k 13.012 * [backup-simplify]: Simplify 0 into 0 13.012 * [backup-simplify]: Simplify 1 into 1 13.012 * [backup-simplify]: Simplify (sqrt 0) into 0 13.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.013 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 13.014 * [taylor]: Taking taylor expansion of 1.0 in k 13.014 * [backup-simplify]: Simplify 1.0 into 1.0 13.014 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 13.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 13.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 13.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 13.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.014 * [taylor]: Taking taylor expansion of 0.5 in k 13.014 * [backup-simplify]: Simplify 0.5 into 0.5 13.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.014 * [taylor]: Taking taylor expansion of 1.0 in k 13.014 * [backup-simplify]: Simplify 1.0 into 1.0 13.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.014 * [taylor]: Taking taylor expansion of k in k 13.014 * [backup-simplify]: Simplify 0 into 0 13.014 * [backup-simplify]: Simplify 1 into 1 13.014 * [backup-simplify]: Simplify (/ 1 1) into 1 13.014 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.014 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.014 * [taylor]: Taking taylor expansion of 2.0 in k 13.014 * [backup-simplify]: Simplify 2.0 into 2.0 13.014 * [taylor]: Taking taylor expansion of PI in k 13.014 * [backup-simplify]: Simplify PI into PI 13.015 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.015 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.016 * [backup-simplify]: Simplify (- 1) into -1 13.016 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.016 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.017 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 13.018 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 13.018 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.018 * [taylor]: Taking taylor expansion of k in k 13.018 * [backup-simplify]: Simplify 0 into 0 13.018 * [backup-simplify]: Simplify 1 into 1 13.018 * [backup-simplify]: Simplify (sqrt 0) into 0 13.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.020 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 0) into 0 13.020 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.020 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.023 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.023 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.025 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.026 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.028 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.029 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.035 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.037 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.038 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))))) 13.043 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (* 2.0 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2)))))))) 13.044 * [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)))) 13.044 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 13.044 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 13.044 * [taylor]: Taking taylor expansion of 1.0 in k 13.044 * [backup-simplify]: Simplify 1.0 into 1.0 13.044 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 13.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 13.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 13.044 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.044 * [taylor]: Taking taylor expansion of 0.5 in k 13.044 * [backup-simplify]: Simplify 0.5 into 0.5 13.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.044 * [taylor]: Taking taylor expansion of k in k 13.044 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify 1 into 1 13.045 * [backup-simplify]: Simplify (/ 1 1) into 1 13.045 * [taylor]: Taking taylor expansion of 1.0 in k 13.045 * [backup-simplify]: Simplify 1.0 into 1.0 13.045 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.045 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.045 * [taylor]: Taking taylor expansion of 2.0 in k 13.045 * [backup-simplify]: Simplify 2.0 into 2.0 13.045 * [taylor]: Taking taylor expansion of PI in k 13.045 * [backup-simplify]: Simplify PI into PI 13.045 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.046 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.047 * [backup-simplify]: Simplify (+ 1 0) into 1 13.047 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.049 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 13.050 * [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)))) 13.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.050 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.050 * [taylor]: Taking taylor expansion of -1 in k 13.050 * [backup-simplify]: Simplify -1 into -1 13.050 * [taylor]: Taking taylor expansion of k in k 13.050 * [backup-simplify]: Simplify 0 into 0 13.050 * [backup-simplify]: Simplify 1 into 1 13.051 * [backup-simplify]: Simplify (/ -1 1) into -1 13.051 * [backup-simplify]: Simplify (sqrt 0) into 0 13.052 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.053 * [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))))) 13.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 13.054 * [taylor]: Taking taylor expansion of 1.0 in k 13.054 * [backup-simplify]: Simplify 1.0 into 1.0 13.054 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 13.054 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 13.054 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 13.054 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 13.054 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.054 * [taylor]: Taking taylor expansion of 0.5 in k 13.054 * [backup-simplify]: Simplify 0.5 into 0.5 13.054 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.054 * [taylor]: Taking taylor expansion of k in k 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.055 * [backup-simplify]: Simplify (/ 1 1) into 1 13.055 * [taylor]: Taking taylor expansion of 1.0 in k 13.055 * [backup-simplify]: Simplify 1.0 into 1.0 13.055 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 13.055 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 13.055 * [taylor]: Taking taylor expansion of 2.0 in k 13.055 * [backup-simplify]: Simplify 2.0 into 2.0 13.055 * [taylor]: Taking taylor expansion of PI in k 13.055 * [backup-simplify]: Simplify PI into PI 13.055 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 13.056 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 13.057 * [backup-simplify]: Simplify (+ 1 0) into 1 13.057 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.059 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 13.060 * [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)))) 13.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.060 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.060 * [taylor]: Taking taylor expansion of -1 in k 13.060 * [backup-simplify]: Simplify -1 into -1 13.060 * [taylor]: Taking taylor expansion of k in k 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.061 * [backup-simplify]: Simplify (/ -1 1) into -1 13.061 * [backup-simplify]: Simplify (sqrt 0) into 0 13.063 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.064 * [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))))) 13.065 * [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))))) 13.066 * [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))))) 13.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.071 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.073 * [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)))))) 13.075 * [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)))))) 13.076 * [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)))))) 13.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.085 * [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)))))) 13.089 * [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)))))) 13.091 * [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)))))) 13.095 * [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 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))))) 13.095 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 13.096 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 13.096 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 13.096 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.096 * [taylor]: Taking taylor expansion of 1.0 in k 13.096 * [backup-simplify]: Simplify 1.0 into 1.0 13.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.096 * [taylor]: Taking taylor expansion of k in k 13.096 * [backup-simplify]: Simplify 0 into 0 13.096 * [backup-simplify]: Simplify 1 into 1 13.096 * [backup-simplify]: Simplify (/ 1 1) into 1 13.097 * [backup-simplify]: Simplify (sqrt 0) into 0 13.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.098 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.098 * [taylor]: Taking taylor expansion of 1.0 in k 13.098 * [backup-simplify]: Simplify 1.0 into 1.0 13.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.098 * [taylor]: Taking taylor expansion of k in k 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify 1 into 1 13.099 * [backup-simplify]: Simplify (/ 1 1) into 1 13.099 * [backup-simplify]: Simplify (sqrt 0) into 0 13.100 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.101 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.101 * [backup-simplify]: Simplify 0 into 0 13.102 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.106 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.108 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.109 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.116 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.116 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.118 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 13.118 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 13.118 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 13.118 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.118 * [taylor]: Taking taylor expansion of 1.0 in k 13.118 * [backup-simplify]: Simplify 1.0 into 1.0 13.118 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.118 * [taylor]: Taking taylor expansion of k in k 13.118 * [backup-simplify]: Simplify 0 into 0 13.118 * [backup-simplify]: Simplify 1 into 1 13.119 * [backup-simplify]: Simplify (sqrt 0) into 0 13.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.120 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.120 * [taylor]: Taking taylor expansion of 1.0 in k 13.120 * [backup-simplify]: Simplify 1.0 into 1.0 13.120 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.120 * [taylor]: Taking taylor expansion of k in k 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify 1 into 1 13.121 * [backup-simplify]: Simplify (sqrt 0) into 0 13.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.123 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.123 * [backup-simplify]: Simplify 0 into 0 13.124 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.124 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.128 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.130 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.130 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.137 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.137 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.139 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 13.139 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 13.139 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 13.139 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.139 * [taylor]: Taking taylor expansion of 1.0 in k 13.139 * [backup-simplify]: Simplify 1.0 into 1.0 13.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.139 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.139 * [taylor]: Taking taylor expansion of -1 in k 13.139 * [backup-simplify]: Simplify -1 into -1 13.139 * [taylor]: Taking taylor expansion of k in k 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify 1 into 1 13.139 * [backup-simplify]: Simplify (/ -1 1) into -1 13.139 * [backup-simplify]: Simplify (sqrt 0) into 0 13.140 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.140 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.140 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.141 * [taylor]: Taking taylor expansion of 1.0 in k 13.141 * [backup-simplify]: Simplify 1.0 into 1.0 13.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.141 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.141 * [taylor]: Taking taylor expansion of -1 in k 13.141 * [backup-simplify]: Simplify -1 into -1 13.141 * [taylor]: Taking taylor expansion of k in k 13.141 * [backup-simplify]: Simplify 0 into 0 13.141 * [backup-simplify]: Simplify 1 into 1 13.141 * [backup-simplify]: Simplify (/ -1 1) into -1 13.141 * [backup-simplify]: Simplify (sqrt 0) into 0 13.142 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.142 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.142 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.145 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.146 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.146 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.152 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.152 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.153 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.153 * * * [progress]: simplifying candidates 13.156 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log (* 2.0 PI)) k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2))) (- (+ (* +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) k)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log (* 2.0 PI)) k)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 k)))))))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 13.159 * * [simplify]: iteration 0: 334 enodes 13.294 * * [simplify]: iteration 1: 908 enodes 13.756 * * [simplify]: iteration 2: 2846 enodes 14.807 * * [simplify]: iteration complete: 5004 enodes 14.807 * * [simplify]: Extracting #0: cost 145 inf + 0 14.809 * * [simplify]: Extracting #1: cost 702 inf + 3 14.813 * * [simplify]: Extracting #2: cost 1198 inf + 5061 14.824 * * [simplify]: Extracting #3: cost 1228 inf + 58207 14.871 * * [simplify]: Extracting #4: cost 655 inf + 276972 14.949 * * [simplify]: Extracting #5: cost 231 inf + 478629 15.056 * * [simplify]: Extracting #6: cost 73 inf + 572448 15.157 * * [simplify]: Extracting #7: cost 20 inf + 586405 15.267 * * [simplify]: Extracting #8: cost 0 inf + 594744 15.444 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (/ (* (- 1.0 k) (log n)) 2.0) (/ (* (- 1.0 k) (log n)) 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 2.0)) (/ (cbrt (- 1.0 k)) (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)) (/ (* (- 1.0 k) (log n)) 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 2.0) (/ (- 1.0 k) 2.0))) (log1p (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI 2.0) (/ 1.0 2.0)) (pow (* PI 2.0) (/ k 2.0)) (pow (* PI 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* PI 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* PI 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI 2.0) (sqrt (- 1.0 k))) (pow (* PI 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI 2.0) (/ 1 (sqrt 2.0))) (* PI 2.0) (pow (* PI 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* PI 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI 2.0) (/ 1 (sqrt 2.0))) (* PI 2.0) (* PI 2.0) (pow (* PI 2.0) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* PI 2.0))) (exp (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (expm1 (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* PI 2.0) (/ 1.0 2.0))) (* (pow (* PI 2.0) (/ k 2.0)) (sqrt k)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (/ (* (sqrt 1.0) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (/ (* (sqrt 1.0) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (/ (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt k)) (* (* (/ 1.0 (sqrt k)) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2)))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt (cbrt k))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (/ (* (sqrt 1.0) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ 1.0 2.0))) (* 1.0 (pow (* PI 2.0) (/ (- 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))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (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 (pow n 1.0) 0.5)) (* (* (log n) k) (* (log n) k)) (pow n 0.5)) (* (* k (log n)) (* 0.5 (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- (log n)) (- 1.0 k)))) (exp (* (* 0.5 (- 1.0 k)) (+ 0 (log n)))) (fma 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0))))) (- (pow (* PI 2.0) 0.5) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* (log (* PI 2.0)) k) 0.5)))) (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) (fma (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0))))) (- (fma (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* k k) (- (fma (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) k (* (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (log (* PI 2.0))) k)) (* (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (log (* PI 2.0))) (* k k)))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (fma +nan.0 (- (/ (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) k)) (- (* (/ +nan.0 (* k k)) (/ (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) k)) (* (/ +nan.0 k) (/ (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) k)))) (fma (- +nan.0) (/ (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) k) (fma (/ (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5))) k) (/ +nan.0 k) (* (- +nan.0) (exp (* (log (* PI 2.0)) (* (- 1.0 k) 0.5)))))) (fma (* k k) (- +nan.0) (fma k (- +nan.0) +nan.0)) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k))))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) +nan.0)) 15.467 * * * [progress]: adding candidates to table 16.591 * * [progress]: iteration 4 / 4 16.591 * * * [progress]: picking best candidate 16.668 * * * * [pick]: Picked # 16.668 * * * [progress]: localizing error 16.707 * * * [progress]: generating rewritten candidates 16.707 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 16.716 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 16.727 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 16.768 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 16.782 * * * [progress]: generating series expansions 16.782 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 16.782 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 16.782 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 16.782 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 16.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 16.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 16.782 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.782 * [taylor]: Taking taylor expansion of 0.5 in k 16.782 * [backup-simplify]: Simplify 0.5 into 0.5 16.782 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.782 * [taylor]: Taking taylor expansion of 1.0 in k 16.782 * [backup-simplify]: Simplify 1.0 into 1.0 16.782 * [taylor]: Taking taylor expansion of k in k 16.782 * [backup-simplify]: Simplify 0 into 0 16.782 * [backup-simplify]: Simplify 1 into 1 16.782 * [taylor]: Taking taylor expansion of (log n) in k 16.782 * [taylor]: Taking taylor expansion of n in k 16.782 * [backup-simplify]: Simplify n into n 16.782 * [backup-simplify]: Simplify (log n) into (log n) 16.783 * [backup-simplify]: Simplify (- 0) into 0 16.783 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.783 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.783 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 16.783 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.783 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.784 * [taylor]: Taking taylor expansion of 0.5 in n 16.784 * [backup-simplify]: Simplify 0.5 into 0.5 16.784 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.784 * [taylor]: Taking taylor expansion of 1.0 in n 16.784 * [backup-simplify]: Simplify 1.0 into 1.0 16.784 * [taylor]: Taking taylor expansion of k in n 16.784 * [backup-simplify]: Simplify k into k 16.784 * [taylor]: Taking taylor expansion of (log n) in n 16.784 * [taylor]: Taking taylor expansion of n in n 16.784 * [backup-simplify]: Simplify 0 into 0 16.784 * [backup-simplify]: Simplify 1 into 1 16.784 * [backup-simplify]: Simplify (log 1) into 0 16.784 * [backup-simplify]: Simplify (- k) into (- k) 16.784 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.784 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.784 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.784 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.784 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.785 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 16.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 16.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 16.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.785 * [taylor]: Taking taylor expansion of 0.5 in n 16.785 * [backup-simplify]: Simplify 0.5 into 0.5 16.785 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.785 * [taylor]: Taking taylor expansion of 1.0 in n 16.785 * [backup-simplify]: Simplify 1.0 into 1.0 16.785 * [taylor]: Taking taylor expansion of k in n 16.785 * [backup-simplify]: Simplify k into k 16.785 * [taylor]: Taking taylor expansion of (log n) in n 16.785 * [taylor]: Taking taylor expansion of n in n 16.785 * [backup-simplify]: Simplify 0 into 0 16.785 * [backup-simplify]: Simplify 1 into 1 16.785 * [backup-simplify]: Simplify (log 1) into 0 16.785 * [backup-simplify]: Simplify (- k) into (- k) 16.785 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.785 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.785 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.785 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 16.786 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 16.786 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 16.786 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 16.786 * [taylor]: Taking taylor expansion of 0.5 in k 16.786 * [backup-simplify]: Simplify 0.5 into 0.5 16.786 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 16.786 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.786 * [taylor]: Taking taylor expansion of 1.0 in k 16.786 * [backup-simplify]: Simplify 1.0 into 1.0 16.786 * [taylor]: Taking taylor expansion of k in k 16.786 * [backup-simplify]: Simplify 0 into 0 16.786 * [backup-simplify]: Simplify 1 into 1 16.786 * [taylor]: Taking taylor expansion of (log n) in k 16.786 * [taylor]: Taking taylor expansion of n in k 16.786 * [backup-simplify]: Simplify n into n 16.786 * [backup-simplify]: Simplify (log n) into (log n) 16.786 * [backup-simplify]: Simplify (- 0) into 0 16.786 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.786 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 16.787 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 16.787 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 16.787 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 16.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.788 * [backup-simplify]: Simplify (- 0) into 0 16.788 * [backup-simplify]: Simplify (+ 0 0) into 0 16.788 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.788 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.789 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 16.789 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.789 * [taylor]: Taking taylor expansion of 0 in k 16.789 * [backup-simplify]: Simplify 0 into 0 16.789 * [backup-simplify]: Simplify 0 into 0 16.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.790 * [backup-simplify]: Simplify (- 1) into -1 16.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.791 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 16.791 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 16.791 * [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))) 16.791 * [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))) 16.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.793 * [backup-simplify]: Simplify (- 0) into 0 16.793 * [backup-simplify]: Simplify (+ 0 0) into 0 16.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.794 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 16.794 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 16.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.795 * [taylor]: Taking taylor expansion of 0 in k 16.795 * [backup-simplify]: Simplify 0 into 0 16.795 * [backup-simplify]: Simplify 0 into 0 16.795 * [backup-simplify]: Simplify 0 into 0 16.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.797 * [backup-simplify]: Simplify (- 0) into 0 16.797 * [backup-simplify]: Simplify (+ 0 0) into 0 16.797 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 16.798 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 16.798 * [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))) 16.798 * [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))) 16.799 * [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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) 16.799 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 16.799 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.799 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 16.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 16.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.799 * [taylor]: Taking taylor expansion of 0.5 in k 16.799 * [backup-simplify]: Simplify 0.5 into 0.5 16.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.799 * [taylor]: Taking taylor expansion of 1.0 in k 16.799 * [backup-simplify]: Simplify 1.0 into 1.0 16.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.800 * [taylor]: Taking taylor expansion of k in k 16.800 * [backup-simplify]: Simplify 0 into 0 16.800 * [backup-simplify]: Simplify 1 into 1 16.800 * [backup-simplify]: Simplify (/ 1 1) into 1 16.800 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 16.800 * [taylor]: Taking taylor expansion of (/ 1 n) in k 16.800 * [taylor]: Taking taylor expansion of n in k 16.800 * [backup-simplify]: Simplify n into n 16.800 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 16.800 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 16.800 * [backup-simplify]: Simplify (- 1) into -1 16.800 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.801 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.801 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 16.801 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 16.801 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.801 * [taylor]: Taking taylor expansion of 0.5 in n 16.801 * [backup-simplify]: Simplify 0.5 into 0.5 16.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.801 * [taylor]: Taking taylor expansion of 1.0 in n 16.801 * [backup-simplify]: Simplify 1.0 into 1.0 16.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.801 * [taylor]: Taking taylor expansion of k in n 16.801 * [backup-simplify]: Simplify k into k 16.801 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.801 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.801 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.801 * [taylor]: Taking taylor expansion of n in n 16.801 * [backup-simplify]: Simplify 0 into 0 16.801 * [backup-simplify]: Simplify 1 into 1 16.802 * [backup-simplify]: Simplify (/ 1 1) into 1 16.802 * [backup-simplify]: Simplify (log 1) into 0 16.802 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.802 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.802 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.802 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.802 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 16.802 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 16.802 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 16.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 16.803 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.803 * [taylor]: Taking taylor expansion of 0.5 in n 16.803 * [backup-simplify]: Simplify 0.5 into 0.5 16.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.803 * [taylor]: Taking taylor expansion of 1.0 in n 16.803 * [backup-simplify]: Simplify 1.0 into 1.0 16.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.803 * [taylor]: Taking taylor expansion of k in n 16.803 * [backup-simplify]: Simplify k into k 16.803 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.803 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 16.803 * [taylor]: Taking taylor expansion of (/ 1 n) in n 16.803 * [taylor]: Taking taylor expansion of n in n 16.803 * [backup-simplify]: Simplify 0 into 0 16.803 * [backup-simplify]: Simplify 1 into 1 16.803 * [backup-simplify]: Simplify (/ 1 1) into 1 16.803 * [backup-simplify]: Simplify (log 1) into 0 16.803 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.803 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.803 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.804 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 16.804 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 16.804 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 16.804 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 16.804 * [taylor]: Taking taylor expansion of -0.5 in k 16.804 * [backup-simplify]: Simplify -0.5 into -0.5 16.804 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 16.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.804 * [taylor]: Taking taylor expansion of 1.0 in k 16.804 * [backup-simplify]: Simplify 1.0 into 1.0 16.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.804 * [taylor]: Taking taylor expansion of k in k 16.804 * [backup-simplify]: Simplify 0 into 0 16.804 * [backup-simplify]: Simplify 1 into 1 16.804 * [backup-simplify]: Simplify (/ 1 1) into 1 16.804 * [taylor]: Taking taylor expansion of (log n) in k 16.804 * [taylor]: Taking taylor expansion of n in k 16.805 * [backup-simplify]: Simplify n into n 16.805 * [backup-simplify]: Simplify (log n) into (log n) 16.805 * [backup-simplify]: Simplify (- 1) into -1 16.805 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.805 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 16.805 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 16.805 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 16.805 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 16.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.807 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.807 * [backup-simplify]: Simplify (- 0) into 0 16.807 * [backup-simplify]: Simplify (+ 0 0) into 0 16.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.808 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 16.809 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.809 * [taylor]: Taking taylor expansion of 0 in k 16.809 * [backup-simplify]: Simplify 0 into 0 16.809 * [backup-simplify]: Simplify 0 into 0 16.809 * [backup-simplify]: Simplify 0 into 0 16.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.811 * [backup-simplify]: Simplify (- 0) into 0 16.811 * [backup-simplify]: Simplify (+ 0 0) into 0 16.812 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.813 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 16.813 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.813 * [taylor]: Taking taylor expansion of 0 in k 16.813 * [backup-simplify]: Simplify 0 into 0 16.813 * [backup-simplify]: Simplify 0 into 0 16.814 * [backup-simplify]: Simplify 0 into 0 16.814 * [backup-simplify]: Simplify 0 into 0 16.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.817 * [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 16.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.817 * [backup-simplify]: Simplify (- 0) into 0 16.817 * [backup-simplify]: Simplify (+ 0 0) into 0 16.818 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.818 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 16.819 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 16.820 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.820 * [taylor]: Taking taylor expansion of 0 in k 16.820 * [backup-simplify]: Simplify 0 into 0 16.820 * [backup-simplify]: Simplify 0 into 0 16.820 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 16.820 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 16.821 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.821 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 16.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 16.821 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.821 * [taylor]: Taking taylor expansion of 0.5 in k 16.821 * [backup-simplify]: Simplify 0.5 into 0.5 16.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.821 * [taylor]: Taking taylor expansion of k in k 16.821 * [backup-simplify]: Simplify 0 into 0 16.821 * [backup-simplify]: Simplify 1 into 1 16.821 * [backup-simplify]: Simplify (/ 1 1) into 1 16.821 * [taylor]: Taking taylor expansion of 1.0 in k 16.821 * [backup-simplify]: Simplify 1.0 into 1.0 16.821 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 16.821 * [taylor]: Taking taylor expansion of (/ -1 n) in k 16.821 * [taylor]: Taking taylor expansion of -1 in k 16.821 * [backup-simplify]: Simplify -1 into -1 16.821 * [taylor]: Taking taylor expansion of n in k 16.821 * [backup-simplify]: Simplify n into n 16.821 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 16.821 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 16.822 * [backup-simplify]: Simplify (+ 1 0) into 1 16.822 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.822 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 16.822 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 16.822 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.822 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.822 * [taylor]: Taking taylor expansion of 0.5 in n 16.822 * [backup-simplify]: Simplify 0.5 into 0.5 16.822 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.822 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.822 * [taylor]: Taking taylor expansion of k in n 16.822 * [backup-simplify]: Simplify k into k 16.822 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.822 * [taylor]: Taking taylor expansion of 1.0 in n 16.822 * [backup-simplify]: Simplify 1.0 into 1.0 16.822 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.822 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.822 * [taylor]: Taking taylor expansion of -1 in n 16.822 * [backup-simplify]: Simplify -1 into -1 16.822 * [taylor]: Taking taylor expansion of n in n 16.822 * [backup-simplify]: Simplify 0 into 0 16.822 * [backup-simplify]: Simplify 1 into 1 16.823 * [backup-simplify]: Simplify (/ -1 1) into -1 16.823 * [backup-simplify]: Simplify (log -1) into (log -1) 16.823 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.823 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.824 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.824 * [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)))) 16.824 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 16.824 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 16.824 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.824 * [taylor]: Taking taylor expansion of 0.5 in n 16.824 * [backup-simplify]: Simplify 0.5 into 0.5 16.824 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.824 * [taylor]: Taking taylor expansion of k in n 16.824 * [backup-simplify]: Simplify k into k 16.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.824 * [taylor]: Taking taylor expansion of 1.0 in n 16.824 * [backup-simplify]: Simplify 1.0 into 1.0 16.824 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 16.825 * [taylor]: Taking taylor expansion of (/ -1 n) in n 16.825 * [taylor]: Taking taylor expansion of -1 in n 16.825 * [backup-simplify]: Simplify -1 into -1 16.825 * [taylor]: Taking taylor expansion of n in n 16.825 * [backup-simplify]: Simplify 0 into 0 16.825 * [backup-simplify]: Simplify 1 into 1 16.825 * [backup-simplify]: Simplify (/ -1 1) into -1 16.825 * [backup-simplify]: Simplify (log -1) into (log -1) 16.825 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.825 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.826 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.826 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 16.826 * [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)))) 16.827 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 16.827 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 16.827 * [taylor]: Taking taylor expansion of 0.5 in k 16.827 * [backup-simplify]: Simplify 0.5 into 0.5 16.827 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 16.827 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 16.827 * [taylor]: Taking taylor expansion of (log -1) in k 16.827 * [taylor]: Taking taylor expansion of -1 in k 16.827 * [backup-simplify]: Simplify -1 into -1 16.827 * [backup-simplify]: Simplify (log -1) into (log -1) 16.827 * [taylor]: Taking taylor expansion of (log n) in k 16.827 * [taylor]: Taking taylor expansion of n in k 16.827 * [backup-simplify]: Simplify n into n 16.827 * [backup-simplify]: Simplify (log n) into (log n) 16.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.827 * [taylor]: Taking taylor expansion of k in k 16.827 * [backup-simplify]: Simplify 0 into 0 16.827 * [backup-simplify]: Simplify 1 into 1 16.827 * [backup-simplify]: Simplify (/ 1 1) into 1 16.827 * [taylor]: Taking taylor expansion of 1.0 in k 16.827 * [backup-simplify]: Simplify 1.0 into 1.0 16.827 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.828 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 16.828 * [backup-simplify]: Simplify (+ 1 0) into 1 16.828 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 16.829 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 16.829 * [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)))) 16.829 * [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)))) 16.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 16.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 16.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.831 * [backup-simplify]: Simplify (+ 0 0) into 0 16.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.832 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 16.833 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.833 * [taylor]: Taking taylor expansion of 0 in k 16.833 * [backup-simplify]: Simplify 0 into 0 16.833 * [backup-simplify]: Simplify 0 into 0 16.833 * [backup-simplify]: Simplify 0 into 0 16.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 16.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.836 * [backup-simplify]: Simplify (+ 0 0) into 0 16.836 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.837 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 16.839 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.839 * [taylor]: Taking taylor expansion of 0 in k 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify 0 into 0 16.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.842 * [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 16.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.843 * [backup-simplify]: Simplify (+ 0 0) into 0 16.844 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.844 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 16.845 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 16.846 * [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 16.846 * [taylor]: Taking taylor expansion of 0 in k 16.846 * [backup-simplify]: Simplify 0 into 0 16.846 * [backup-simplify]: Simplify 0 into 0 16.847 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 16.847 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 16.847 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 16.847 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 16.847 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 16.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 16.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 16.847 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.847 * [taylor]: Taking taylor expansion of 0.5 in k 16.847 * [backup-simplify]: Simplify 0.5 into 0.5 16.847 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.847 * [taylor]: Taking taylor expansion of 1.0 in k 16.847 * [backup-simplify]: Simplify 1.0 into 1.0 16.848 * [taylor]: Taking taylor expansion of k in k 16.848 * [backup-simplify]: Simplify 0 into 0 16.848 * [backup-simplify]: Simplify 1 into 1 16.848 * [taylor]: Taking taylor expansion of (log PI) in k 16.848 * [taylor]: Taking taylor expansion of PI in k 16.848 * [backup-simplify]: Simplify PI into PI 16.848 * [backup-simplify]: Simplify (log PI) into (log PI) 16.849 * [backup-simplify]: Simplify (- 0) into 0 16.849 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.849 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.850 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.852 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 16.852 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 16.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 16.852 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 16.852 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.852 * [taylor]: Taking taylor expansion of 0.5 in k 16.852 * [backup-simplify]: Simplify 0.5 into 0.5 16.852 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.852 * [taylor]: Taking taylor expansion of 1.0 in k 16.852 * [backup-simplify]: Simplify 1.0 into 1.0 16.852 * [taylor]: Taking taylor expansion of k in k 16.852 * [backup-simplify]: Simplify 0 into 0 16.852 * [backup-simplify]: Simplify 1 into 1 16.852 * [taylor]: Taking taylor expansion of (log PI) in k 16.852 * [taylor]: Taking taylor expansion of PI in k 16.852 * [backup-simplify]: Simplify PI into PI 16.853 * [backup-simplify]: Simplify (log PI) into (log PI) 16.853 * [backup-simplify]: Simplify (- 0) into 0 16.853 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.854 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.854 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.855 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 16.856 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 16.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 16.857 * [backup-simplify]: Simplify (- 1) into -1 16.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.858 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.860 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 16.869 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 16.871 * [backup-simplify]: Simplify (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) into (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 16.873 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 16.873 * [backup-simplify]: Simplify (- 0) into 0 16.873 * [backup-simplify]: Simplify (+ 0 0) into 0 16.874 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.875 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 16.881 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 16.884 * [backup-simplify]: Simplify (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 16.890 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) k) (pow PI 0.5))) into (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) 16.890 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 16.890 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 16.890 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 16.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 16.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 16.890 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.890 * [taylor]: Taking taylor expansion of 0.5 in k 16.890 * [backup-simplify]: Simplify 0.5 into 0.5 16.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.890 * [taylor]: Taking taylor expansion of 1.0 in k 16.890 * [backup-simplify]: Simplify 1.0 into 1.0 16.890 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.890 * [taylor]: Taking taylor expansion of k in k 16.890 * [backup-simplify]: Simplify 0 into 0 16.890 * [backup-simplify]: Simplify 1 into 1 16.891 * [backup-simplify]: Simplify (/ 1 1) into 1 16.891 * [taylor]: Taking taylor expansion of (log PI) in k 16.891 * [taylor]: Taking taylor expansion of PI in k 16.891 * [backup-simplify]: Simplify PI into PI 16.891 * [backup-simplify]: Simplify (log PI) into (log PI) 16.892 * [backup-simplify]: Simplify (- 1) into -1 16.892 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.893 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.894 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 16.894 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 16.894 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 16.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 16.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 16.894 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.894 * [taylor]: Taking taylor expansion of 0.5 in k 16.894 * [backup-simplify]: Simplify 0.5 into 0.5 16.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.894 * [taylor]: Taking taylor expansion of 1.0 in k 16.894 * [backup-simplify]: Simplify 1.0 into 1.0 16.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.895 * [taylor]: Taking taylor expansion of k in k 16.895 * [backup-simplify]: Simplify 0 into 0 16.895 * [backup-simplify]: Simplify 1 into 1 16.895 * [backup-simplify]: Simplify (/ 1 1) into 1 16.895 * [taylor]: Taking taylor expansion of (log PI) in k 16.895 * [taylor]: Taking taylor expansion of PI in k 16.895 * [backup-simplify]: Simplify PI into PI 16.895 * [backup-simplify]: Simplify (log PI) into (log PI) 16.896 * [backup-simplify]: Simplify (- 1) into -1 16.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.897 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.898 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 16.898 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 16.899 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 16.899 * [backup-simplify]: Simplify 0 into 0 16.899 * [backup-simplify]: Simplify 0 into 0 16.899 * [backup-simplify]: Simplify 0 into 0 16.899 * [backup-simplify]: Simplify 0 into 0 16.899 * [backup-simplify]: Simplify 0 into 0 16.899 * [backup-simplify]: Simplify 0 into 0 16.900 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 16.900 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 16.900 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 16.900 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 16.900 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 16.900 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 16.900 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.900 * [taylor]: Taking taylor expansion of 0.5 in k 16.900 * [backup-simplify]: Simplify 0.5 into 0.5 16.900 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.900 * [taylor]: Taking taylor expansion of k in k 16.900 * [backup-simplify]: Simplify 0 into 0 16.900 * [backup-simplify]: Simplify 1 into 1 16.901 * [backup-simplify]: Simplify (/ 1 1) into 1 16.901 * [taylor]: Taking taylor expansion of 1.0 in k 16.901 * [backup-simplify]: Simplify 1.0 into 1.0 16.901 * [taylor]: Taking taylor expansion of (log PI) in k 16.901 * [taylor]: Taking taylor expansion of PI in k 16.901 * [backup-simplify]: Simplify PI into PI 16.901 * [backup-simplify]: Simplify (log PI) into (log PI) 16.902 * [backup-simplify]: Simplify (+ 1 0) into 1 16.902 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.903 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.904 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 16.904 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 16.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 16.904 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 16.904 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.904 * [taylor]: Taking taylor expansion of 0.5 in k 16.904 * [backup-simplify]: Simplify 0.5 into 0.5 16.904 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.904 * [taylor]: Taking taylor expansion of k in k 16.904 * [backup-simplify]: Simplify 0 into 0 16.904 * [backup-simplify]: Simplify 1 into 1 16.904 * [backup-simplify]: Simplify (/ 1 1) into 1 16.904 * [taylor]: Taking taylor expansion of 1.0 in k 16.904 * [backup-simplify]: Simplify 1.0 into 1.0 16.904 * [taylor]: Taking taylor expansion of (log PI) in k 16.904 * [taylor]: Taking taylor expansion of PI in k 16.904 * [backup-simplify]: Simplify PI into PI 16.905 * [backup-simplify]: Simplify (log PI) into (log PI) 16.905 * [backup-simplify]: Simplify (+ 1 0) into 1 16.906 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.907 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 16.908 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 16.908 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 16.909 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 16.910 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 16.910 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 16.910 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 16.910 * [taylor]: Taking taylor expansion of 1.0 in k 16.910 * [backup-simplify]: Simplify 1.0 into 1.0 16.910 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 16.910 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 16.910 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 16.910 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 16.910 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.910 * [taylor]: Taking taylor expansion of 0.5 in k 16.910 * [backup-simplify]: Simplify 0.5 into 0.5 16.910 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.910 * [taylor]: Taking taylor expansion of 1.0 in k 16.910 * [backup-simplify]: Simplify 1.0 into 1.0 16.910 * [taylor]: Taking taylor expansion of k in k 16.910 * [backup-simplify]: Simplify 0 into 0 16.910 * [backup-simplify]: Simplify 1 into 1 16.910 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.910 * [taylor]: Taking taylor expansion of 2.0 in k 16.910 * [backup-simplify]: Simplify 2.0 into 2.0 16.911 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.911 * [backup-simplify]: Simplify (- 0) into 0 16.911 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.912 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.913 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 16.914 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 16.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.914 * [taylor]: Taking taylor expansion of k in k 16.914 * [backup-simplify]: Simplify 0 into 0 16.914 * [backup-simplify]: Simplify 1 into 1 16.915 * [backup-simplify]: Simplify (/ 1 1) into 1 16.915 * [backup-simplify]: Simplify (sqrt 0) into 0 16.917 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.917 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 16.917 * [taylor]: Taking taylor expansion of 1.0 in k 16.917 * [backup-simplify]: Simplify 1.0 into 1.0 16.917 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 16.917 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 16.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 16.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 16.917 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.917 * [taylor]: Taking taylor expansion of 0.5 in k 16.917 * [backup-simplify]: Simplify 0.5 into 0.5 16.917 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.917 * [taylor]: Taking taylor expansion of 1.0 in k 16.917 * [backup-simplify]: Simplify 1.0 into 1.0 16.917 * [taylor]: Taking taylor expansion of k in k 16.917 * [backup-simplify]: Simplify 0 into 0 16.917 * [backup-simplify]: Simplify 1 into 1 16.917 * [taylor]: Taking taylor expansion of (log 2.0) in k 16.917 * [taylor]: Taking taylor expansion of 2.0 in k 16.917 * [backup-simplify]: Simplify 2.0 into 2.0 16.918 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 16.918 * [backup-simplify]: Simplify (- 0) into 0 16.918 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.919 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.920 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 16.921 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 16.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 16.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.921 * [taylor]: Taking taylor expansion of k in k 16.921 * [backup-simplify]: Simplify 0 into 0 16.921 * [backup-simplify]: Simplify 1 into 1 16.922 * [backup-simplify]: Simplify (/ 1 1) into 1 16.922 * [backup-simplify]: Simplify (sqrt 0) into 0 16.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 16.924 * [backup-simplify]: Simplify (* (pow 2.0 0.5) 0) into 0 16.925 * [backup-simplify]: Simplify (* 1.0 0) into 0 16.925 * [backup-simplify]: Simplify 0 into 0 16.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 16.927 * [backup-simplify]: Simplify (- 1) into -1 16.927 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.929 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 16.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 16.940 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 16.945 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 0)) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 16.952 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 16.955 * [backup-simplify]: Simplify (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) into (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))) 16.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.957 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 16.959 * [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 16.959 * [backup-simplify]: Simplify (- 0) into 0 16.960 * [backup-simplify]: Simplify (+ 0 0) into 0 16.960 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 16.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 16.968 * [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 (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 16.975 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) +nan.0) (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 0))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 16.988 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 16.996 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) 16.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.006 * [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 17.007 * [backup-simplify]: Simplify (- 0) into 0 17.007 * [backup-simplify]: Simplify (+ 0 0) into 0 17.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 17.011 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 17.026 * [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 (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) 17.053 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) +nan.0) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) +nan.0) (+ (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) 0)))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 17.091 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 17.113 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) into (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) 17.151 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (log 2.0)))))) k) (- (* +nan.0 (pow (pow 2.0 1.0) 0.5))))) into (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (pow k 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) k)) (- (* +nan.0 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (pow 2.0 1.0) 0.5)))))))))))))) 17.152 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 17.152 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 17.152 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 17.152 * [taylor]: Taking taylor expansion of 1.0 in k 17.152 * [backup-simplify]: Simplify 1.0 into 1.0 17.152 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 17.152 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 17.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 17.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 17.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.152 * [taylor]: Taking taylor expansion of 0.5 in k 17.152 * [backup-simplify]: Simplify 0.5 into 0.5 17.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.152 * [taylor]: Taking taylor expansion of 1.0 in k 17.152 * [backup-simplify]: Simplify 1.0 into 1.0 17.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.152 * [taylor]: Taking taylor expansion of k in k 17.152 * [backup-simplify]: Simplify 0 into 0 17.152 * [backup-simplify]: Simplify 1 into 1 17.153 * [backup-simplify]: Simplify (/ 1 1) into 1 17.153 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.153 * [taylor]: Taking taylor expansion of 2.0 in k 17.153 * [backup-simplify]: Simplify 2.0 into 2.0 17.153 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.153 * [backup-simplify]: Simplify (- 1) into -1 17.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.154 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.155 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 17.156 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 17.156 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.156 * [taylor]: Taking taylor expansion of k in k 17.156 * [backup-simplify]: Simplify 0 into 0 17.156 * [backup-simplify]: Simplify 1 into 1 17.156 * [backup-simplify]: Simplify (sqrt 0) into 0 17.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.158 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 17.158 * [taylor]: Taking taylor expansion of 1.0 in k 17.158 * [backup-simplify]: Simplify 1.0 into 1.0 17.158 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 17.158 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 17.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 17.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 17.158 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 17.158 * [taylor]: Taking taylor expansion of 0.5 in k 17.158 * [backup-simplify]: Simplify 0.5 into 0.5 17.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 17.158 * [taylor]: Taking taylor expansion of 1.0 in k 17.158 * [backup-simplify]: Simplify 1.0 into 1.0 17.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.158 * [taylor]: Taking taylor expansion of k in k 17.158 * [backup-simplify]: Simplify 0 into 0 17.158 * [backup-simplify]: Simplify 1 into 1 17.159 * [backup-simplify]: Simplify (/ 1 1) into 1 17.159 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.159 * [taylor]: Taking taylor expansion of 2.0 in k 17.159 * [backup-simplify]: Simplify 2.0 into 2.0 17.159 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.160 * [backup-simplify]: Simplify (- 1) into -1 17.160 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.160 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 17.161 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 17.162 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 17.162 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.162 * [taylor]: Taking taylor expansion of k in k 17.162 * [backup-simplify]: Simplify 0 into 0 17.162 * [backup-simplify]: Simplify 1 into 1 17.162 * [backup-simplify]: Simplify (sqrt 0) into 0 17.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.164 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 0) into 0 17.165 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.165 * [backup-simplify]: Simplify 0 into 0 17.166 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.167 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.167 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.171 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.172 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.174 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.174 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.180 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.182 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.182 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) 17.185 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 3)))))))) 17.185 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 17.185 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 17.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 17.185 * [taylor]: Taking taylor expansion of 1.0 in k 17.185 * [backup-simplify]: Simplify 1.0 into 1.0 17.185 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 17.185 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 17.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 17.186 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 17.186 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.186 * [taylor]: Taking taylor expansion of 0.5 in k 17.186 * [backup-simplify]: Simplify 0.5 into 0.5 17.186 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.186 * [taylor]: Taking taylor expansion of k in k 17.186 * [backup-simplify]: Simplify 0 into 0 17.186 * [backup-simplify]: Simplify 1 into 1 17.186 * [backup-simplify]: Simplify (/ 1 1) into 1 17.186 * [taylor]: Taking taylor expansion of 1.0 in k 17.186 * [backup-simplify]: Simplify 1.0 into 1.0 17.186 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.186 * [taylor]: Taking taylor expansion of 2.0 in k 17.186 * [backup-simplify]: Simplify 2.0 into 2.0 17.187 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.187 * [backup-simplify]: Simplify (+ 1 0) into 1 17.188 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.189 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 17.190 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 17.190 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.190 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.190 * [taylor]: Taking taylor expansion of -1 in k 17.190 * [backup-simplify]: Simplify -1 into -1 17.190 * [taylor]: Taking taylor expansion of k in k 17.190 * [backup-simplify]: Simplify 0 into 0 17.190 * [backup-simplify]: Simplify 1 into 1 17.190 * [backup-simplify]: Simplify (/ -1 1) into -1 17.191 * [backup-simplify]: Simplify (sqrt 0) into 0 17.192 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.193 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 17.193 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 17.193 * [taylor]: Taking taylor expansion of 1.0 in k 17.193 * [backup-simplify]: Simplify 1.0 into 1.0 17.193 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 17.193 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 17.193 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 17.193 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 17.193 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 17.193 * [taylor]: Taking taylor expansion of 0.5 in k 17.193 * [backup-simplify]: Simplify 0.5 into 0.5 17.193 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 17.193 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.193 * [taylor]: Taking taylor expansion of k in k 17.193 * [backup-simplify]: Simplify 0 into 0 17.193 * [backup-simplify]: Simplify 1 into 1 17.193 * [backup-simplify]: Simplify (/ 1 1) into 1 17.193 * [taylor]: Taking taylor expansion of 1.0 in k 17.193 * [backup-simplify]: Simplify 1.0 into 1.0 17.193 * [taylor]: Taking taylor expansion of (log 2.0) in k 17.194 * [taylor]: Taking taylor expansion of 2.0 in k 17.194 * [backup-simplify]: Simplify 2.0 into 2.0 17.194 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 17.194 * [backup-simplify]: Simplify (+ 1 0) into 1 17.195 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 17.196 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 17.196 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 17.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.196 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.196 * [taylor]: Taking taylor expansion of -1 in k 17.196 * [backup-simplify]: Simplify -1 into -1 17.196 * [taylor]: Taking taylor expansion of k in k 17.196 * [backup-simplify]: Simplify 0 into 0 17.197 * [backup-simplify]: Simplify 1 into 1 17.197 * [backup-simplify]: Simplify (/ -1 1) into -1 17.197 * [backup-simplify]: Simplify (sqrt 0) into 0 17.199 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.199 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 17.200 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 17.200 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 17.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.204 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.206 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 17.207 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 17.208 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 17.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.215 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 17.217 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 17.218 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 17.220 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log 2.0)))))))))) 17.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 17.220 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 17.220 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 17.220 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.220 * [taylor]: Taking taylor expansion of 1.0 in k 17.220 * [backup-simplify]: Simplify 1.0 into 1.0 17.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.221 * [taylor]: Taking taylor expansion of k in k 17.221 * [backup-simplify]: Simplify 0 into 0 17.221 * [backup-simplify]: Simplify 1 into 1 17.221 * [backup-simplify]: Simplify (/ 1 1) into 1 17.221 * [backup-simplify]: Simplify (sqrt 0) into 0 17.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 17.222 * [taylor]: Taking taylor expansion of 1.0 in k 17.222 * [backup-simplify]: Simplify 1.0 into 1.0 17.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 17.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k 17.222 * [taylor]: Taking taylor expansion of k in k 17.223 * [backup-simplify]: Simplify 0 into 0 17.223 * [backup-simplify]: Simplify 1 into 1 17.223 * [backup-simplify]: Simplify (/ 1 1) into 1 17.223 * [backup-simplify]: Simplify (sqrt 0) into 0 17.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.224 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.224 * [backup-simplify]: Simplify 0 into 0 17.225 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.225 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.229 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.229 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.233 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.233 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.234 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 17.234 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 17.234 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 17.234 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.234 * [taylor]: Taking taylor expansion of 1.0 in k 17.234 * [backup-simplify]: Simplify 1.0 into 1.0 17.234 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.234 * [taylor]: Taking taylor expansion of k in k 17.234 * [backup-simplify]: Simplify 0 into 0 17.234 * [backup-simplify]: Simplify 1 into 1 17.235 * [backup-simplify]: Simplify (sqrt 0) into 0 17.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.235 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 17.236 * [taylor]: Taking taylor expansion of 1.0 in k 17.236 * [backup-simplify]: Simplify 1.0 into 1.0 17.236 * [taylor]: Taking taylor expansion of (sqrt k) in k 17.236 * [taylor]: Taking taylor expansion of k in k 17.236 * [backup-simplify]: Simplify 0 into 0 17.236 * [backup-simplify]: Simplify 1 into 1 17.236 * [backup-simplify]: Simplify (sqrt 0) into 0 17.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 17.237 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.237 * [backup-simplify]: Simplify 0 into 0 17.238 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 17.238 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.241 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 17.241 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.245 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 17.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.246 * [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)))))))) 17.246 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 17.246 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 17.246 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.246 * [taylor]: Taking taylor expansion of 1.0 in k 17.246 * [backup-simplify]: Simplify 1.0 into 1.0 17.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.246 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.246 * [taylor]: Taking taylor expansion of -1 in k 17.246 * [backup-simplify]: Simplify -1 into -1 17.246 * [taylor]: Taking taylor expansion of k in k 17.246 * [backup-simplify]: Simplify 0 into 0 17.246 * [backup-simplify]: Simplify 1 into 1 17.247 * [backup-simplify]: Simplify (/ -1 1) into -1 17.247 * [backup-simplify]: Simplify (sqrt 0) into 0 17.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.248 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.248 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 17.248 * [taylor]: Taking taylor expansion of 1.0 in k 17.248 * [backup-simplify]: Simplify 1.0 into 1.0 17.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 17.248 * [taylor]: Taking taylor expansion of (/ -1 k) in k 17.248 * [taylor]: Taking taylor expansion of -1 in k 17.248 * [backup-simplify]: Simplify -1 into -1 17.248 * [taylor]: Taking taylor expansion of k in k 17.248 * [backup-simplify]: Simplify 0 into 0 17.248 * [backup-simplify]: Simplify 1 into 1 17.248 * [backup-simplify]: Simplify (/ -1 1) into -1 17.249 * [backup-simplify]: Simplify (sqrt 0) into 0 17.249 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 17.250 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 17.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 17.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 17.256 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 17.259 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 17.259 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 17.267 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 17.268 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 17.268 * [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))))) 17.269 * * * [progress]: simplifying candidates 17.271 * [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 PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (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)) (pow 1 (/ (- 1.0 k) 2.0)) (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 PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (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)))) (log1p (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow 2.0 (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log 2.0) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow 2.0 (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* 1.0 (pow 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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 (pow n 1.0) 0.5) (* (pow (log n) 2) (pow k 2)))) (pow n 0.5)) (* 0.5 (* (pow (pow n 1.0) 0.5) (* (log n) k)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (pow PI 0.5) (* 0.125 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))) (* 0.5 (* (* (log PI) k) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (pow k 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow 2.0 1.0) 0.5) k)) (- (* +nan.0 (* (* (pow (log 2.0) 2) (pow k 2)) (pow (pow 2.0 1.0) 0.5)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log 2.0)))))))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 17.274 * * [simplify]: iteration 0: 353 enodes 17.406 * * [simplify]: iteration 1: 938 enodes 17.887 * * [simplify]: iteration 2: 2867 enodes 18.897 * * [simplify]: iteration complete: 5003 enodes 18.897 * * [simplify]: Extracting #0: cost 150 inf + 0 18.899 * * [simplify]: Extracting #1: cost 737 inf + 86 18.904 * * [simplify]: Extracting #2: cost 1173 inf + 10659 18.933 * * [simplify]: Extracting #3: cost 1066 inf + 120624 18.996 * * [simplify]: Extracting #4: cost 524 inf + 351684 19.066 * * [simplify]: Extracting #5: cost 213 inf + 488284 19.162 * * [simplify]: Extracting #6: cost 66 inf + 547776 19.241 * * [simplify]: Extracting #7: cost 15 inf + 567418 19.339 * * [simplify]: Extracting #8: cost 2 inf + 570885 19.444 * * [simplify]: Extracting #9: cost 0 inf + 571551 19.537 * [simplify]: Simplified to: (expm1 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k))) (/ (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1.0 (/ (sqrt k) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (* (/ 1.0 (sqrt k)) (cbrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (cbrt (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow 2.0 (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (cbrt (sqrt k))) (/ (* (sqrt 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (cbrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (* 1.0 (pow 2.0 (/ (- 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))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (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 (* (* k (log n)) (* k (log n))) (* 0.125 (pow (pow n 1.0) 0.5)) (- (pow n 0.5) (* (* (log n) k) (* 0.5 (pow (pow n 1.0) 0.5))))) (exp (* (* (- (log n)) (- 1.0 k)) -0.5)) (exp (* (- 1.0 k) (* 0.5 (+ 0 (log n))))) (fma (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (* (log PI) k) (* (log PI) k))) (* (* k (log PI)) 0.5)) (pow PI 0.5)) (exp (* (* 0.5 (log PI)) (- 1.0 k))) (exp (* (* 0.5 (log PI)) (- 1.0 k))) (fma (- (* (* k k) (pow (pow 2.0 1.0) 0.5))) +nan.0 (fma (pow (pow 2.0 1.0) 0.5) +nan.0 (fma (* +nan.0 (* (* k k) (log 2.0))) (- (pow (pow 2.0 1.0) 0.5)) (fma +nan.0 (* (log 2.0) (* k (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (fma (* (* (log 2.0) (log 2.0)) (* k k)) (- (pow (pow 2.0 1.0) 0.5)) (* k (pow (pow 2.0 1.0) 0.5))))))))) (fma +nan.0 (- (/ (exp (* (* (log 2.0) (- 1.0 k)) 0.5)) (* k k))) (- (* (/ (exp (* (* (log 2.0) (- 1.0 k)) 0.5)) k) +nan.0) (* (/ (exp (* (* (log 2.0) (- 1.0 k)) 0.5)) (* k (* k k))) +nan.0))) (- (fma (/ +nan.0 k) (/ (exp (* (* (log 2.0) (- 1.0 k)) 0.5)) k) (fma (- (/ (exp (* (* (log 2.0) (- 1.0 k)) 0.5)) k)) +nan.0 (* (exp (* (* (log 2.0) (- 1.0 k)) 0.5)) +nan.0)))) (fma +nan.0 (- (* k k)) (- +nan.0 (* +nan.0 k))) (- (/ (- +nan.0) (* k k)) (+ (/ (- +nan.0) k) (/ +nan.0 (* k (* k k))))) (- (- (fma (/ +nan.0 k) (/ 1 k) +nan.0) (/ +nan.0 k))) 19.553 * * * [progress]: adding candidates to table 20.817 * [progress]: [Phase 3 of 3] Extracting. 20.818 * * [regime]: Finding splitpoints for: (# # # # # # # #) 20.822 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 20.822 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 20.943 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 21.019 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 21.125 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 21.209 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 21.280 * * * [regime]: Found split indices: #