46.052 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.122 * * * [progress]: [2/2] Setting up program. 0.131 * [progress]: [Phase 2 of 3] Improving. 0.132 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.132 * * [simplify]: iteration 0: 13 enodes 0.138 * * [simplify]: iteration 1: 29 enodes 0.148 * * [simplify]: iteration 2: 59 enodes 0.167 * * [simplify]: iteration 3: 120 enodes 0.211 * * [simplify]: iteration 4: 328 enodes 0.417 * * [simplify]: iteration 5: 1551 enodes 1.123 * * [simplify]: iteration complete: 5000 enodes 1.124 * * [simplify]: Extracting #0: cost 1 inf + 0 1.124 * * [simplify]: Extracting #1: cost 126 inf + 0 1.127 * * [simplify]: Extracting #2: cost 1587 inf + 1 1.133 * * [simplify]: Extracting #3: cost 2139 inf + 11 1.148 * * [simplify]: Extracting #4: cost 2273 inf + 147 1.161 * * [simplify]: Extracting #5: cost 1683 inf + 10242 1.175 * * [simplify]: Extracting #6: cost 131 inf + 49949 1.189 * * [simplify]: Extracting #7: cost 0 inf + 54378 1.202 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 1.210 * * [progress]: iteration 1 / 4 1.210 * * * [progress]: picking best candidate 1.215 * * * * [pick]: Picked # 1.215 * * * [progress]: localizing error 1.244 * * * [progress]: generating rewritten candidates 1.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.286 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.336 * * * [progress]: generating series expansions 1.336 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.336 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.336 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.337 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.337 * [taylor]: Taking taylor expansion of 0.5 in k 1.337 * [backup-simplify]: Simplify 0.5 into 0.5 1.337 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.337 * [taylor]: Taking taylor expansion of 1.0 in k 1.337 * [backup-simplify]: Simplify 1.0 into 1.0 1.337 * [taylor]: Taking taylor expansion of k in k 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.337 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.337 * [taylor]: Taking taylor expansion of 2.0 in k 1.337 * [backup-simplify]: Simplify 2.0 into 2.0 1.337 * [taylor]: Taking taylor expansion of (* n PI) in k 1.337 * [taylor]: Taking taylor expansion of n in k 1.337 * [backup-simplify]: Simplify n into n 1.337 * [taylor]: Taking taylor expansion of PI in k 1.337 * [backup-simplify]: Simplify PI into PI 1.337 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.337 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.337 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.338 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.338 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.338 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.338 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.338 * [taylor]: Taking taylor expansion of 0.5 in n 1.338 * [backup-simplify]: Simplify 0.5 into 0.5 1.338 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.338 * [taylor]: Taking taylor expansion of 1.0 in n 1.338 * [backup-simplify]: Simplify 1.0 into 1.0 1.338 * [taylor]: Taking taylor expansion of k in n 1.338 * [backup-simplify]: Simplify k into k 1.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.338 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.338 * [taylor]: Taking taylor expansion of 2.0 in n 1.338 * [backup-simplify]: Simplify 2.0 into 2.0 1.338 * [taylor]: Taking taylor expansion of (* n PI) in n 1.338 * [taylor]: Taking taylor expansion of n in n 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [taylor]: Taking taylor expansion of PI in n 1.338 * [backup-simplify]: Simplify PI into PI 1.339 * [backup-simplify]: Simplify (* 0 PI) into 0 1.339 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.341 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.342 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.342 * [backup-simplify]: Simplify (- k) into (- k) 1.342 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.342 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.343 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.344 * [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)))) 1.344 * [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))))) 1.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.344 * [taylor]: Taking taylor expansion of 0.5 in n 1.344 * [backup-simplify]: Simplify 0.5 into 0.5 1.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.344 * [taylor]: Taking taylor expansion of 1.0 in n 1.344 * [backup-simplify]: Simplify 1.0 into 1.0 1.344 * [taylor]: Taking taylor expansion of k in n 1.345 * [backup-simplify]: Simplify k into k 1.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.345 * [taylor]: Taking taylor expansion of 2.0 in n 1.345 * [backup-simplify]: Simplify 2.0 into 2.0 1.345 * [taylor]: Taking taylor expansion of (* n PI) in n 1.345 * [taylor]: Taking taylor expansion of n in n 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [taylor]: Taking taylor expansion of PI in n 1.345 * [backup-simplify]: Simplify PI into PI 1.345 * [backup-simplify]: Simplify (* 0 PI) into 0 1.345 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.347 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.348 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.348 * [backup-simplify]: Simplify (- k) into (- k) 1.348 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.348 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.349 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.350 * [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)))) 1.350 * [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))))) 1.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.350 * [taylor]: Taking taylor expansion of 0.5 in k 1.350 * [backup-simplify]: Simplify 0.5 into 0.5 1.350 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.350 * [taylor]: Taking taylor expansion of 1.0 in k 1.351 * [backup-simplify]: Simplify 1.0 into 1.0 1.351 * [taylor]: Taking taylor expansion of k in k 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.351 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.351 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.351 * [taylor]: Taking taylor expansion of 2.0 in k 1.351 * [backup-simplify]: Simplify 2.0 into 2.0 1.351 * [taylor]: Taking taylor expansion of PI in k 1.351 * [backup-simplify]: Simplify PI into PI 1.351 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.352 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.352 * [taylor]: Taking taylor expansion of (log n) in k 1.352 * [taylor]: Taking taylor expansion of n in k 1.352 * [backup-simplify]: Simplify n into n 1.352 * [backup-simplify]: Simplify (log n) into (log n) 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.353 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.354 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.354 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.355 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.356 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.358 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.361 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.362 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in k 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [backup-simplify]: Simplify (- 1) into -1 1.365 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.366 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.368 * [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)))) 1.371 * [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)))))) 1.375 * [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)))))) 1.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.381 * [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 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.386 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.389 * [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 1.389 * [taylor]: Taking taylor expansion of 0 in k 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.394 * [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 1.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.407 * [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)))))) 1.414 * [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)))))) 1.426 * [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))))) 1.430 * [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)))) 1.430 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.431 * [taylor]: Taking taylor expansion of 0.5 in k 1.431 * [backup-simplify]: Simplify 0.5 into 0.5 1.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.431 * [taylor]: Taking taylor expansion of 1.0 in k 1.431 * [backup-simplify]: Simplify 1.0 into 1.0 1.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.431 * [taylor]: Taking taylor expansion of k in k 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.432 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.432 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [backup-simplify]: Simplify 2.0 into 2.0 1.432 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.432 * [taylor]: Taking taylor expansion of PI in k 1.432 * [backup-simplify]: Simplify PI into PI 1.432 * [taylor]: Taking taylor expansion of n in k 1.432 * [backup-simplify]: Simplify n into n 1.432 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.432 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.432 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.432 * [backup-simplify]: Simplify (- 1) into -1 1.433 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.433 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.433 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.434 * [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)))))) 1.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.434 * [taylor]: Taking taylor expansion of 0.5 in n 1.434 * [backup-simplify]: Simplify 0.5 into 0.5 1.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.434 * [taylor]: Taking taylor expansion of 1.0 in n 1.434 * [backup-simplify]: Simplify 1.0 into 1.0 1.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.434 * [taylor]: Taking taylor expansion of k in n 1.434 * [backup-simplify]: Simplify k into k 1.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.434 * [taylor]: Taking taylor expansion of 2.0 in n 1.434 * [backup-simplify]: Simplify 2.0 into 2.0 1.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.434 * [taylor]: Taking taylor expansion of PI in n 1.434 * [backup-simplify]: Simplify PI into PI 1.434 * [taylor]: Taking taylor expansion of n in n 1.434 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (/ PI 1) into PI 1.436 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.437 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.437 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.437 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.437 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.439 * [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)))) 1.441 * [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))))) 1.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.441 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.441 * [taylor]: Taking taylor expansion of 0.5 in n 1.441 * [backup-simplify]: Simplify 0.5 into 0.5 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.441 * [taylor]: Taking taylor expansion of 1.0 in n 1.441 * [backup-simplify]: Simplify 1.0 into 1.0 1.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.441 * [taylor]: Taking taylor expansion of k in n 1.441 * [backup-simplify]: Simplify k into k 1.441 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.441 * [taylor]: Taking taylor expansion of 2.0 in n 1.441 * [backup-simplify]: Simplify 2.0 into 2.0 1.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.441 * [taylor]: Taking taylor expansion of PI in n 1.441 * [backup-simplify]: Simplify PI into PI 1.441 * [taylor]: Taking taylor expansion of n in n 1.441 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (/ PI 1) into PI 1.442 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.443 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.443 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.443 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.443 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.444 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.445 * [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)))) 1.446 * [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))))) 1.446 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 1.446 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 1.446 * [taylor]: Taking taylor expansion of 0.5 in k 1.446 * [backup-simplify]: Simplify 0.5 into 0.5 1.446 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 1.446 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.446 * [taylor]: Taking taylor expansion of 1.0 in k 1.446 * [backup-simplify]: Simplify 1.0 into 1.0 1.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.446 * [taylor]: Taking taylor expansion of k in k 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.446 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.446 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.446 * [taylor]: Taking taylor expansion of 2.0 in k 1.446 * [backup-simplify]: Simplify 2.0 into 2.0 1.446 * [taylor]: Taking taylor expansion of PI in k 1.446 * [backup-simplify]: Simplify PI into PI 1.447 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.447 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.447 * [taylor]: Taking taylor expansion of (log n) in k 1.447 * [taylor]: Taking taylor expansion of n in k 1.447 * [backup-simplify]: Simplify n into n 1.448 * [backup-simplify]: Simplify (log n) into (log n) 1.448 * [backup-simplify]: Simplify (- 1) into -1 1.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.448 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.449 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.449 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.450 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.451 * [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))))) 1.452 * [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))))) 1.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.454 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.456 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.457 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.458 * [taylor]: Taking taylor expansion of 0 in k 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.461 * [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 1.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.463 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.464 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.465 * [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 1.465 * [taylor]: Taking taylor expansion of 0 in k 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.470 * [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 1.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.476 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.478 * [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 1.479 * [taylor]: Taking taylor expansion of 0 in k 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 0 into 0 1.480 * [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)))))) 1.481 * [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))) 1.481 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.481 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.481 * [taylor]: Taking taylor expansion of 0.5 in k 1.481 * [backup-simplify]: Simplify 0.5 into 0.5 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.481 * [taylor]: Taking taylor expansion of k in k 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [backup-simplify]: Simplify 1.0 into 1.0 1.482 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.482 * [taylor]: Taking taylor expansion of -2.0 in k 1.482 * [backup-simplify]: Simplify -2.0 into -2.0 1.482 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.482 * [taylor]: Taking taylor expansion of PI in k 1.482 * [backup-simplify]: Simplify PI into PI 1.482 * [taylor]: Taking taylor expansion of n in k 1.482 * [backup-simplify]: Simplify n into n 1.482 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.482 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.482 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.483 * [backup-simplify]: Simplify (+ 1 0) into 1 1.483 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.483 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.483 * [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)))) 1.484 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.484 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.484 * [taylor]: Taking taylor expansion of 0.5 in n 1.484 * [backup-simplify]: Simplify 0.5 into 0.5 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.484 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.484 * [taylor]: Taking taylor expansion of k in n 1.484 * [backup-simplify]: Simplify k into k 1.484 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.484 * [taylor]: Taking taylor expansion of 1.0 in n 1.484 * [backup-simplify]: Simplify 1.0 into 1.0 1.484 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.484 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.484 * [taylor]: Taking taylor expansion of -2.0 in n 1.484 * [backup-simplify]: Simplify -2.0 into -2.0 1.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.484 * [backup-simplify]: Simplify PI into PI 1.484 * [taylor]: Taking taylor expansion of n in n 1.484 * [backup-simplify]: Simplify 0 into 0 1.484 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (/ PI 1) into PI 1.485 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.486 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.486 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.486 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.487 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.488 * [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))) 1.489 * [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)))) 1.489 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.489 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.489 * [taylor]: Taking taylor expansion of 0.5 in n 1.489 * [backup-simplify]: Simplify 0.5 into 0.5 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.489 * [taylor]: Taking taylor expansion of k in n 1.489 * [backup-simplify]: Simplify k into k 1.489 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.489 * [taylor]: Taking taylor expansion of 1.0 in n 1.489 * [backup-simplify]: Simplify 1.0 into 1.0 1.489 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.489 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.489 * [taylor]: Taking taylor expansion of -2.0 in n 1.489 * [backup-simplify]: Simplify -2.0 into -2.0 1.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.489 * [taylor]: Taking taylor expansion of PI in n 1.489 * [backup-simplify]: Simplify PI into PI 1.489 * [taylor]: Taking taylor expansion of n in n 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ PI 1) into PI 1.490 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.490 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.490 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.490 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.492 * [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))) 1.493 * [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)))) 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 1.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 1.493 * [taylor]: Taking taylor expansion of 0.5 in k 1.493 * [backup-simplify]: Simplify 0.5 into 0.5 1.493 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 1.493 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.493 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.493 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.493 * [taylor]: Taking taylor expansion of -2.0 in k 1.493 * [backup-simplify]: Simplify -2.0 into -2.0 1.493 * [taylor]: Taking taylor expansion of PI in k 1.493 * [backup-simplify]: Simplify PI into PI 1.493 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.494 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.494 * [taylor]: Taking taylor expansion of (log n) in k 1.494 * [taylor]: Taking taylor expansion of n in k 1.494 * [backup-simplify]: Simplify n into n 1.494 * [backup-simplify]: Simplify (log n) into (log n) 1.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.494 * [taylor]: Taking taylor expansion of k in k 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (/ 1 1) into 1 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [backup-simplify]: Simplify 1.0 into 1.0 1.495 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.495 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.496 * [backup-simplify]: Simplify (+ 1 0) into 1 1.496 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 1.497 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.498 * [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)))) 1.499 * [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)))) 1.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.501 * [backup-simplify]: Simplify (+ 0 0) into 0 1.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.502 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.503 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.504 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.504 * [taylor]: Taking taylor expansion of 0 in k 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.507 * [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 1.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.510 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.511 * [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 1.511 * [taylor]: Taking taylor expansion of 0 in k 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.518 * [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 1.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.522 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.524 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.527 * [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 1.527 * [taylor]: Taking taylor expansion of 0 in k 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 0 into 0 1.528 * [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)))))) 1.529 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.529 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.529 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.529 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.529 * [taylor]: Taking taylor expansion of 2.0 in n 1.529 * [backup-simplify]: Simplify 2.0 into 2.0 1.529 * [taylor]: Taking taylor expansion of (* n PI) in n 1.529 * [taylor]: Taking taylor expansion of n in n 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.530 * [taylor]: Taking taylor expansion of PI in n 1.530 * [backup-simplify]: Simplify PI into PI 1.530 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.530 * [taylor]: Taking taylor expansion of 2.0 in n 1.530 * [backup-simplify]: Simplify 2.0 into 2.0 1.530 * [taylor]: Taking taylor expansion of (* n PI) in n 1.530 * [taylor]: Taking taylor expansion of n in n 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [taylor]: Taking taylor expansion of PI in n 1.530 * [backup-simplify]: Simplify PI into PI 1.530 * [backup-simplify]: Simplify (* 0 PI) into 0 1.531 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.534 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.535 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.537 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.537 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.543 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.546 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.549 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.559 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 1.559 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.559 * [taylor]: Taking taylor expansion of 2.0 in n 1.559 * [backup-simplify]: Simplify 2.0 into 2.0 1.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.559 * [taylor]: Taking taylor expansion of PI in n 1.559 * [backup-simplify]: Simplify PI into PI 1.559 * [taylor]: Taking taylor expansion of n in n 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [backup-simplify]: Simplify (/ PI 1) into PI 1.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.559 * [taylor]: Taking taylor expansion of 2.0 in n 1.559 * [backup-simplify]: Simplify 2.0 into 2.0 1.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.560 * [taylor]: Taking taylor expansion of PI in n 1.560 * [backup-simplify]: Simplify PI into PI 1.560 * [taylor]: Taking taylor expansion of n in n 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (/ PI 1) into PI 1.561 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.561 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.575 * [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 1.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 1.578 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 1.578 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.578 * [taylor]: Taking taylor expansion of -2.0 in n 1.578 * [backup-simplify]: Simplify -2.0 into -2.0 1.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.578 * [taylor]: Taking taylor expansion of PI in n 1.578 * [backup-simplify]: Simplify PI into PI 1.578 * [taylor]: Taking taylor expansion of n in n 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ PI 1) into PI 1.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.579 * [taylor]: Taking taylor expansion of -2.0 in n 1.579 * [backup-simplify]: Simplify -2.0 into -2.0 1.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.579 * [taylor]: Taking taylor expansion of PI in n 1.579 * [backup-simplify]: Simplify PI into PI 1.579 * [taylor]: Taking taylor expansion of n in n 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ PI 1) into PI 1.580 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.581 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.583 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.594 * [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 1.596 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 1.597 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.597 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.597 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [backup-simplify]: Simplify 1.0 into 1.0 1.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.597 * [taylor]: Taking taylor expansion of k in k 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.598 * [backup-simplify]: Simplify (sqrt 0) into 0 1.600 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.600 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.600 * [taylor]: Taking taylor expansion of 1.0 in k 1.600 * [backup-simplify]: Simplify 1.0 into 1.0 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.600 * [taylor]: Taking taylor expansion of k in k 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [backup-simplify]: Simplify (sqrt 0) into 0 1.602 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.602 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.604 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.609 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.611 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.611 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.617 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.617 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.618 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1.618 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.618 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.618 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [backup-simplify]: Simplify 1.0 into 1.0 1.618 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.618 * [taylor]: Taking taylor expansion of k in k 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (sqrt 0) into 0 1.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.619 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.619 * [taylor]: Taking taylor expansion of 1.0 in k 1.619 * [backup-simplify]: Simplify 1.0 into 1.0 1.619 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (sqrt 0) into 0 1.620 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.621 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.621 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.622 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.624 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.625 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.625 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.629 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.629 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.630 * [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)))))))) 1.630 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.630 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.630 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.630 * [taylor]: Taking taylor expansion of 1.0 in k 1.630 * [backup-simplify]: Simplify 1.0 into 1.0 1.630 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.630 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.630 * [taylor]: Taking taylor expansion of -1 in k 1.630 * [backup-simplify]: Simplify -1 into -1 1.630 * [taylor]: Taking taylor expansion of k in k 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (/ -1 1) into -1 1.631 * [backup-simplify]: Simplify (sqrt 0) into 0 1.632 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.632 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.632 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.632 * [taylor]: Taking taylor expansion of 1.0 in k 1.632 * [backup-simplify]: Simplify 1.0 into 1.0 1.632 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.632 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.632 * [taylor]: Taking taylor expansion of -1 in k 1.632 * [backup-simplify]: Simplify -1 into -1 1.632 * [taylor]: Taking taylor expansion of k in k 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (/ -1 1) into -1 1.633 * [backup-simplify]: Simplify (sqrt 0) into 0 1.633 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.634 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.634 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.638 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.638 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.644 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.644 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.645 * [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))))) 1.645 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.645 * [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)))) 1.645 * [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 1.645 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [backup-simplify]: Simplify 1.0 into 1.0 1.645 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.645 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.645 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.645 * [taylor]: Taking taylor expansion of 0.5 in n 1.645 * [backup-simplify]: Simplify 0.5 into 0.5 1.645 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [backup-simplify]: Simplify 1.0 into 1.0 1.645 * [taylor]: Taking taylor expansion of k in n 1.646 * [backup-simplify]: Simplify k into k 1.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.646 * [taylor]: Taking taylor expansion of 2.0 in n 1.646 * [backup-simplify]: Simplify 2.0 into 2.0 1.646 * [taylor]: Taking taylor expansion of (* n PI) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of PI in n 1.646 * [backup-simplify]: Simplify PI into PI 1.646 * [backup-simplify]: Simplify (* 0 PI) into 0 1.646 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.650 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.651 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.651 * [backup-simplify]: Simplify (- k) into (- k) 1.651 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.651 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.652 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.654 * [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)))) 1.655 * [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))))) 1.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.655 * [taylor]: Taking taylor expansion of k in n 1.655 * [backup-simplify]: Simplify k into k 1.655 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.655 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.655 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [backup-simplify]: Simplify 1.0 into 1.0 1.655 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.655 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.655 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.655 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.655 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.655 * [taylor]: Taking taylor expansion of 0.5 in k 1.655 * [backup-simplify]: Simplify 0.5 into 0.5 1.655 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [backup-simplify]: Simplify 1.0 into 1.0 1.655 * [taylor]: Taking taylor expansion of k in k 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.655 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.655 * [taylor]: Taking taylor expansion of 2.0 in k 1.655 * [backup-simplify]: Simplify 2.0 into 2.0 1.655 * [taylor]: Taking taylor expansion of (* n PI) in k 1.655 * [taylor]: Taking taylor expansion of n in k 1.655 * [backup-simplify]: Simplify n into n 1.655 * [taylor]: Taking taylor expansion of PI in k 1.655 * [backup-simplify]: Simplify PI into PI 1.655 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.655 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.655 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.656 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.657 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.657 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.657 * [taylor]: Taking taylor expansion of k in k 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [backup-simplify]: Simplify (sqrt 0) into 0 1.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.658 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 1.658 * [taylor]: Taking taylor expansion of 1.0 in k 1.658 * [backup-simplify]: Simplify 1.0 into 1.0 1.658 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.658 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.658 * [taylor]: Taking taylor expansion of 0.5 in k 1.658 * [backup-simplify]: Simplify 0.5 into 0.5 1.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.658 * [taylor]: Taking taylor expansion of 1.0 in k 1.658 * [backup-simplify]: Simplify 1.0 into 1.0 1.658 * [taylor]: Taking taylor expansion of k in k 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.658 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.658 * [taylor]: Taking taylor expansion of 2.0 in k 1.658 * [backup-simplify]: Simplify 2.0 into 2.0 1.659 * [taylor]: Taking taylor expansion of (* n PI) in k 1.659 * [taylor]: Taking taylor expansion of n in k 1.659 * [backup-simplify]: Simplify n into n 1.659 * [taylor]: Taking taylor expansion of PI in k 1.659 * [backup-simplify]: Simplify PI into PI 1.659 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.659 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.659 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.659 * [backup-simplify]: Simplify (- 0) into 0 1.659 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.660 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.660 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.660 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.660 * [taylor]: Taking taylor expansion of k in k 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.660 * [backup-simplify]: Simplify (sqrt 0) into 0 1.661 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.661 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 1.662 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.662 * [taylor]: Taking taylor expansion of 0 in n 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 1.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 1.663 * [backup-simplify]: Simplify (- 1) into -1 1.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.667 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 1.668 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 1.669 * [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))))) 1.670 * [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))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 1.671 * [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))) 1.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.671 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.671 * [taylor]: Taking taylor expansion of +nan.0 in n 1.671 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.671 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.671 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.671 * [taylor]: Taking taylor expansion of 0.5 in n 1.671 * [backup-simplify]: Simplify 0.5 into 0.5 1.671 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.671 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.671 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.672 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.672 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.672 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [backup-simplify]: Simplify 1.0 into 1.0 1.672 * [taylor]: Taking taylor expansion of (log PI) in n 1.672 * [taylor]: Taking taylor expansion of PI in n 1.672 * [backup-simplify]: Simplify PI into PI 1.672 * [backup-simplify]: Simplify (log PI) into (log PI) 1.673 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.674 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.674 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.674 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.674 * [taylor]: Taking taylor expansion of 1.0 in n 1.674 * [backup-simplify]: Simplify 1.0 into 1.0 1.674 * [taylor]: Taking taylor expansion of (log n) in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (log 1) into 0 1.674 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.674 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.674 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.674 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.674 * [taylor]: Taking taylor expansion of 1.0 in n 1.674 * [backup-simplify]: Simplify 1.0 into 1.0 1.674 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.675 * [taylor]: Taking taylor expansion of 2.0 in n 1.675 * [backup-simplify]: Simplify 2.0 into 2.0 1.675 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.675 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.676 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.677 * [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) 1.677 * [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) 1.678 * [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)) 1.679 * [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))) 1.680 * [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) 1.681 * [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)) 1.682 * [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))) 1.683 * [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))) 1.683 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.688 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1.689 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1.691 * [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 1.691 * [backup-simplify]: Simplify (- 0) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 1.694 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 1.695 * [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))) 1.699 * [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))))) 1.704 * [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))))) 1.704 * [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 1.704 * [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 1.704 * [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 1.704 * [taylor]: Taking taylor expansion of +nan.0 in n 1.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.704 * [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 1.704 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.705 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.705 * [taylor]: Taking taylor expansion of 0.5 in n 1.705 * [backup-simplify]: Simplify 0.5 into 0.5 1.705 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.705 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.705 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.705 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.705 * [taylor]: Taking taylor expansion of 1.0 in n 1.705 * [backup-simplify]: Simplify 1.0 into 1.0 1.705 * [taylor]: Taking taylor expansion of (log PI) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [backup-simplify]: Simplify PI into PI 1.705 * [backup-simplify]: Simplify (log PI) into (log PI) 1.706 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.709 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.709 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.709 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.709 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.709 * [taylor]: Taking taylor expansion of 1.0 in n 1.709 * [backup-simplify]: Simplify 1.0 into 1.0 1.709 * [taylor]: Taking taylor expansion of (log n) in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (log 1) into 0 1.710 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.710 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.710 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.710 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.710 * [taylor]: Taking taylor expansion of 1.0 in n 1.710 * [backup-simplify]: Simplify 1.0 into 1.0 1.710 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.710 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [backup-simplify]: Simplify 2.0 into 2.0 1.711 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.712 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.713 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.714 * [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) 1.715 * [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) 1.716 * [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)) 1.716 * [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))) 1.717 * [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) 1.717 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.717 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.717 * [taylor]: Taking taylor expansion of 2.0 in n 1.717 * [backup-simplify]: Simplify 2.0 into 2.0 1.717 * [taylor]: Taking taylor expansion of (* n PI) in n 1.717 * [taylor]: Taking taylor expansion of n in n 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of PI in n 1.717 * [backup-simplify]: Simplify PI into PI 1.718 * [backup-simplify]: Simplify (* 0 PI) into 0 1.718 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.719 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.720 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.721 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.721 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.721 * [taylor]: Taking taylor expansion of +nan.0 in n 1.721 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.721 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.721 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.721 * [taylor]: Taking taylor expansion of 0.5 in n 1.721 * [backup-simplify]: Simplify 0.5 into 0.5 1.721 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.721 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.721 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.721 * [taylor]: Taking taylor expansion of 1.0 in n 1.721 * [backup-simplify]: Simplify 1.0 into 1.0 1.721 * [taylor]: Taking taylor expansion of (log PI) in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.721 * [backup-simplify]: Simplify PI into PI 1.721 * [backup-simplify]: Simplify (log PI) into (log PI) 1.722 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.723 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.723 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.723 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.723 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.723 * [taylor]: Taking taylor expansion of 1.0 in n 1.723 * [backup-simplify]: Simplify 1.0 into 1.0 1.723 * [taylor]: Taking taylor expansion of (log n) in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (log 1) into 0 1.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.724 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.724 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.724 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.724 * [taylor]: Taking taylor expansion of 1.0 in n 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.724 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.724 * [taylor]: Taking taylor expansion of 2.0 in n 1.724 * [backup-simplify]: Simplify 2.0 into 2.0 1.724 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.725 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.726 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.726 * [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) 1.727 * [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) 1.728 * [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)) 1.728 * [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))) 1.729 * [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) 1.730 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.732 * [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))) 1.733 * [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)))) 1.734 * [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)) 1.735 * [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))) 1.738 * [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))))))) 1.741 * [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))))))))) 1.745 * [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))))))) 1.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 1.747 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 1.748 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 1.749 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.750 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.751 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 1.751 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 1.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 1.757 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 1.760 * [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 1.762 * [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 1.764 * [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 1.766 * [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 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.773 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1.777 * [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 1.778 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 1.783 * [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))) 1.789 * [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)))))))) 1.805 * [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)))))))) 1.805 * [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 1.805 * [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 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of +nan.0 in n 1.805 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.805 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.805 * [taylor]: Taking taylor expansion of 0.5 in n 1.806 * [backup-simplify]: Simplify 0.5 into 0.5 1.806 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.806 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.806 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.806 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.806 * [taylor]: Taking taylor expansion of 1.0 in n 1.806 * [backup-simplify]: Simplify 1.0 into 1.0 1.806 * [taylor]: Taking taylor expansion of (log PI) in n 1.806 * [taylor]: Taking taylor expansion of PI in n 1.806 * [backup-simplify]: Simplify PI into PI 1.806 * [backup-simplify]: Simplify (log PI) into (log PI) 1.807 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.809 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.809 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.809 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.809 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.809 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.809 * [taylor]: Taking taylor expansion of 1.0 in n 1.809 * [backup-simplify]: Simplify 1.0 into 1.0 1.809 * [taylor]: Taking taylor expansion of (log n) in n 1.809 * [taylor]: Taking taylor expansion of n in n 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (log 1) into 0 1.810 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.810 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.810 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.810 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.811 * [taylor]: Taking taylor expansion of 1.0 in n 1.811 * [backup-simplify]: Simplify 1.0 into 1.0 1.811 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.811 * [taylor]: Taking taylor expansion of 2.0 in n 1.811 * [backup-simplify]: Simplify 2.0 into 2.0 1.811 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.812 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.814 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.815 * [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) 1.816 * [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) 1.817 * [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)) 1.819 * [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))) 1.820 * [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) 1.820 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.820 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.820 * [taylor]: Taking taylor expansion of 2.0 in n 1.820 * [backup-simplify]: Simplify 2.0 into 2.0 1.820 * [taylor]: Taking taylor expansion of (* n PI) in n 1.820 * [taylor]: Taking taylor expansion of n in n 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [taylor]: Taking taylor expansion of PI in n 1.820 * [backup-simplify]: Simplify PI into PI 1.821 * [backup-simplify]: Simplify (* 0 PI) into 0 1.821 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.823 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.824 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.826 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.826 * [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 1.826 * [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 1.826 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.826 * [taylor]: Taking taylor expansion of +nan.0 in n 1.826 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.826 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.826 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.826 * [taylor]: Taking taylor expansion of 0.5 in n 1.826 * [backup-simplify]: Simplify 0.5 into 0.5 1.826 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.826 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.826 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.826 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.826 * [taylor]: Taking taylor expansion of 1.0 in n 1.826 * [backup-simplify]: Simplify 1.0 into 1.0 1.826 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.826 * [taylor]: Taking taylor expansion of 2.0 in n 1.826 * [backup-simplify]: Simplify 2.0 into 2.0 1.827 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.828 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.829 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.829 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.830 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.830 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.830 * [taylor]: Taking taylor expansion of 1.0 in n 1.830 * [backup-simplify]: Simplify 1.0 into 1.0 1.830 * [taylor]: Taking taylor expansion of (log n) in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (log 1) into 0 1.831 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.831 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.831 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.831 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [backup-simplify]: Simplify 1.0 into 1.0 1.831 * [taylor]: Taking taylor expansion of (log PI) in n 1.831 * [taylor]: Taking taylor expansion of PI in n 1.831 * [backup-simplify]: Simplify PI into PI 1.832 * [backup-simplify]: Simplify (log PI) into (log PI) 1.833 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.834 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.835 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.836 * [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) 1.838 * [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)) 1.839 * [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))) 1.840 * [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) 1.840 * [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 1.841 * [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 1.841 * [taylor]: Taking taylor expansion of +nan.0 in n 1.841 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.841 * [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 1.841 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.841 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.841 * [taylor]: Taking taylor expansion of 0.5 in n 1.841 * [backup-simplify]: Simplify 0.5 into 0.5 1.841 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.841 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.841 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.841 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.841 * [taylor]: Taking taylor expansion of 1.0 in n 1.841 * [backup-simplify]: Simplify 1.0 into 1.0 1.841 * [taylor]: Taking taylor expansion of (log PI) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.841 * [backup-simplify]: Simplify PI into PI 1.842 * [backup-simplify]: Simplify (log PI) into (log PI) 1.843 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.844 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.844 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.844 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.844 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.844 * [taylor]: Taking taylor expansion of 1.0 in n 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.844 * [taylor]: Taking taylor expansion of (log n) in n 1.844 * [taylor]: Taking taylor expansion of n in n 1.844 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (log 1) into 0 1.845 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.845 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.846 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.846 * [taylor]: Taking taylor expansion of 1.0 in n 1.846 * [backup-simplify]: Simplify 1.0 into 1.0 1.846 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.846 * [taylor]: Taking taylor expansion of 2.0 in n 1.846 * [backup-simplify]: Simplify 2.0 into 2.0 1.846 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.847 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.849 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.850 * [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) 1.851 * [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) 1.852 * [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)) 1.853 * [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))) 1.855 * [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) 1.855 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.855 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.855 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.855 * [taylor]: Taking taylor expansion of 2.0 in n 1.855 * [backup-simplify]: Simplify 2.0 into 2.0 1.855 * [taylor]: Taking taylor expansion of (* n PI) in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [taylor]: Taking taylor expansion of PI in n 1.855 * [backup-simplify]: Simplify PI into PI 1.856 * [backup-simplify]: Simplify (* 0 PI) into 0 1.856 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.860 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.861 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.864 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.867 * [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))) 1.869 * [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)))) 1.871 * [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)) 1.873 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.874 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.876 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 1.879 * [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)) 1.882 * [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))) 1.885 * [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)))))))) 1.892 * [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))))))))) 1.898 * [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)))))))))) 1.906 * [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))))))))))))) 1.921 * [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))))))))))))) 1.943 * [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))))))))))))))) 1.959 * [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))))))))))))))))))))))) 1.960 * [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))) 1.960 * [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 1.960 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 1.960 * [taylor]: Taking taylor expansion of 1.0 in n 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 1.960 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.960 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.960 * [taylor]: Taking taylor expansion of 0.5 in n 1.960 * [backup-simplify]: Simplify 0.5 into 0.5 1.960 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.960 * [taylor]: Taking taylor expansion of 1.0 in n 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.960 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.960 * [taylor]: Taking taylor expansion of k in n 1.960 * [backup-simplify]: Simplify k into k 1.960 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.960 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.960 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.960 * [taylor]: Taking taylor expansion of 2.0 in n 1.960 * [backup-simplify]: Simplify 2.0 into 2.0 1.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.960 * [taylor]: Taking taylor expansion of PI in n 1.960 * [backup-simplify]: Simplify PI into PI 1.960 * [taylor]: Taking taylor expansion of n in n 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ PI 1) into PI 1.961 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.961 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.961 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.962 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.962 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.963 * [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)))) 1.964 * [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))))) 1.964 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.964 * [taylor]: Taking taylor expansion of k in n 1.964 * [backup-simplify]: Simplify k into k 1.964 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.964 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 1.964 * [taylor]: Taking taylor expansion of 1.0 in k 1.964 * [backup-simplify]: Simplify 1.0 into 1.0 1.964 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 1.964 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.964 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.964 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.964 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.964 * [taylor]: Taking taylor expansion of 0.5 in k 1.964 * [backup-simplify]: Simplify 0.5 into 0.5 1.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.964 * [taylor]: Taking taylor expansion of 1.0 in k 1.964 * [backup-simplify]: Simplify 1.0 into 1.0 1.964 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.964 * [taylor]: Taking taylor expansion of k in k 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.965 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.965 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.965 * [taylor]: Taking taylor expansion of 2.0 in k 1.965 * [backup-simplify]: Simplify 2.0 into 2.0 1.965 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.965 * [taylor]: Taking taylor expansion of PI in k 1.965 * [backup-simplify]: Simplify PI into PI 1.965 * [taylor]: Taking taylor expansion of n in k 1.965 * [backup-simplify]: Simplify n into n 1.965 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.965 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.965 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.965 * [backup-simplify]: Simplify (- 1) into -1 1.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.966 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.966 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.966 * [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)))))) 1.966 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.966 * [taylor]: Taking taylor expansion of k in k 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (sqrt 0) into 0 1.967 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.967 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 1.967 * [taylor]: Taking taylor expansion of 1.0 in k 1.967 * [backup-simplify]: Simplify 1.0 into 1.0 1.967 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 1.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.968 * [taylor]: Taking taylor expansion of 0.5 in k 1.968 * [backup-simplify]: Simplify 0.5 into 0.5 1.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.968 * [taylor]: Taking taylor expansion of 1.0 in k 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.968 * [taylor]: Taking taylor expansion of k in k 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.968 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.968 * [taylor]: Taking taylor expansion of 2.0 in k 1.968 * [backup-simplify]: Simplify 2.0 into 2.0 1.968 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.968 * [taylor]: Taking taylor expansion of PI in k 1.968 * [backup-simplify]: Simplify PI into PI 1.968 * [taylor]: Taking taylor expansion of n in k 1.968 * [backup-simplify]: Simplify n into n 1.968 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.968 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.968 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.968 * [backup-simplify]: Simplify (- 1) into -1 1.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.969 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.969 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.969 * [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)))))) 1.969 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.969 * [taylor]: Taking taylor expansion of k in k 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (sqrt 0) into 0 1.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.971 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 1.971 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in n 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [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)))))))) 1.972 * [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)))))))) 1.972 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 1.972 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 1.972 * [taylor]: Taking taylor expansion of +nan.0 in n 1.972 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.972 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 1.972 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 1.972 * [taylor]: Taking taylor expansion of 0.5 in n 1.972 * [backup-simplify]: Simplify 0.5 into 0.5 1.972 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 1.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.972 * [taylor]: Taking taylor expansion of 1.0 in n 1.972 * [backup-simplify]: Simplify 1.0 into 1.0 1.972 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.972 * [taylor]: Taking taylor expansion of k in n 1.972 * [backup-simplify]: Simplify k into k 1.972 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.972 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.972 * [taylor]: Taking taylor expansion of 2.0 in n 1.972 * [backup-simplify]: Simplify 2.0 into 2.0 1.972 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.972 * [taylor]: Taking taylor expansion of PI in n 1.972 * [backup-simplify]: Simplify PI into PI 1.972 * [taylor]: Taking taylor expansion of n in n 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ PI 1) into PI 1.973 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.974 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.974 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.974 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.975 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.975 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 1.976 * [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)))) 1.977 * [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))))) 1.978 * [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)))))) 1.979 * [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))))))) 1.980 * [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))))))) 1.980 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.982 * [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)))))))) 1.983 * [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)))))))) 1.983 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 1.983 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 1.983 * [taylor]: Taking taylor expansion of +nan.0 in n 1.983 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 1.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 1.983 * [taylor]: Taking taylor expansion of 0.5 in n 1.983 * [backup-simplify]: Simplify 0.5 into 0.5 1.983 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 1.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.983 * [taylor]: Taking taylor expansion of 1.0 in n 1.983 * [backup-simplify]: Simplify 1.0 into 1.0 1.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.983 * [taylor]: Taking taylor expansion of k in n 1.983 * [backup-simplify]: Simplify k into k 1.983 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.983 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.983 * [taylor]: Taking taylor expansion of 2.0 in n 1.983 * [backup-simplify]: Simplify 2.0 into 2.0 1.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.983 * [taylor]: Taking taylor expansion of PI in n 1.983 * [backup-simplify]: Simplify PI into PI 1.983 * [taylor]: Taking taylor expansion of n in n 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ PI 1) into PI 1.984 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.985 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.985 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.985 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.986 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 1.987 * [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)))) 1.988 * [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))))) 1.989 * [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)))))) 1.989 * [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))))))) 1.990 * [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))))))) 1.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.995 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 1.999 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 2.001 * [backup-simplify]: Simplify (- 0) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.006 * [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)))))))) 2.007 * [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)))))))) 2.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.007 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.007 * [taylor]: Taking taylor expansion of +nan.0 in n 2.007 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.007 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.007 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.007 * [taylor]: Taking taylor expansion of 0.5 in n 2.007 * [backup-simplify]: Simplify 0.5 into 0.5 2.007 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.007 * [taylor]: Taking taylor expansion of 1.0 in n 2.007 * [backup-simplify]: Simplify 1.0 into 1.0 2.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.007 * [taylor]: Taking taylor expansion of k in n 2.007 * [backup-simplify]: Simplify k into k 2.007 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.007 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.007 * [taylor]: Taking taylor expansion of 2.0 in n 2.007 * [backup-simplify]: Simplify 2.0 into 2.0 2.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.007 * [taylor]: Taking taylor expansion of PI in n 2.007 * [backup-simplify]: Simplify PI into PI 2.007 * [taylor]: Taking taylor expansion of n in n 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ PI 1) into PI 2.008 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.009 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.009 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.009 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.010 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.011 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.011 * [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)))) 2.012 * [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))))) 2.013 * [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)))))) 2.014 * [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))))))) 2.015 * [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))))))) 2.017 * [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)))))))) 2.018 * [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)))) 2.018 * [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 2.018 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.018 * [taylor]: Taking taylor expansion of 1.0 in n 2.018 * [backup-simplify]: Simplify 1.0 into 1.0 2.018 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.018 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.018 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.018 * [taylor]: Taking taylor expansion of 0.5 in n 2.018 * [backup-simplify]: Simplify 0.5 into 0.5 2.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.018 * [taylor]: Taking taylor expansion of k in n 2.018 * [backup-simplify]: Simplify k into k 2.018 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.018 * [taylor]: Taking taylor expansion of 1.0 in n 2.018 * [backup-simplify]: Simplify 1.0 into 1.0 2.018 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.018 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.018 * [taylor]: Taking taylor expansion of -2.0 in n 2.018 * [backup-simplify]: Simplify -2.0 into -2.0 2.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.018 * [taylor]: Taking taylor expansion of PI in n 2.018 * [backup-simplify]: Simplify PI into PI 2.018 * [taylor]: Taking taylor expansion of n in n 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (/ PI 1) into PI 2.019 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.020 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.020 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.020 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.021 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.021 * [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))) 2.022 * [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)))) 2.022 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.022 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.022 * [taylor]: Taking taylor expansion of -1 in n 2.022 * [backup-simplify]: Simplify -1 into -1 2.022 * [taylor]: Taking taylor expansion of k in n 2.022 * [backup-simplify]: Simplify k into k 2.022 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.022 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.023 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.023 * [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))) 2.023 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.023 * [taylor]: Taking taylor expansion of 1.0 in k 2.023 * [backup-simplify]: Simplify 1.0 into 1.0 2.023 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.024 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.024 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.024 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.024 * [taylor]: Taking taylor expansion of 0.5 in k 2.024 * [backup-simplify]: Simplify 0.5 into 0.5 2.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.024 * [taylor]: Taking taylor expansion of k in k 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of 1.0 in k 2.024 * [backup-simplify]: Simplify 1.0 into 1.0 2.024 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.024 * [taylor]: Taking taylor expansion of -2.0 in k 2.024 * [backup-simplify]: Simplify -2.0 into -2.0 2.024 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.024 * [taylor]: Taking taylor expansion of PI in k 2.024 * [backup-simplify]: Simplify PI into PI 2.024 * [taylor]: Taking taylor expansion of n in k 2.024 * [backup-simplify]: Simplify n into n 2.024 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.024 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.024 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.025 * [backup-simplify]: Simplify (+ 1 0) into 1 2.025 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.025 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.025 * [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)))) 2.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.025 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.025 * [taylor]: Taking taylor expansion of -1 in k 2.025 * [backup-simplify]: Simplify -1 into -1 2.025 * [taylor]: Taking taylor expansion of k in k 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (/ -1 1) into -1 2.026 * [backup-simplify]: Simplify (sqrt 0) into 0 2.026 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.027 * [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))))) 2.027 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.027 * [taylor]: Taking taylor expansion of 1.0 in k 2.027 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.027 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.027 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.027 * [taylor]: Taking taylor expansion of 0.5 in k 2.027 * [backup-simplify]: Simplify 0.5 into 0.5 2.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.027 * [taylor]: Taking taylor expansion of k in k 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [taylor]: Taking taylor expansion of 1.0 in k 2.027 * [backup-simplify]: Simplify 1.0 into 1.0 2.027 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.027 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.027 * [taylor]: Taking taylor expansion of -2.0 in k 2.027 * [backup-simplify]: Simplify -2.0 into -2.0 2.027 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.027 * [taylor]: Taking taylor expansion of PI in k 2.027 * [backup-simplify]: Simplify PI into PI 2.027 * [taylor]: Taking taylor expansion of n in k 2.027 * [backup-simplify]: Simplify n into n 2.027 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.027 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.027 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.028 * [backup-simplify]: Simplify (+ 1 0) into 1 2.028 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.028 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.028 * [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)))) 2.028 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.028 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.028 * [taylor]: Taking taylor expansion of -1 in k 2.028 * [backup-simplify]: Simplify -1 into -1 2.028 * [taylor]: Taking taylor expansion of k in k 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ -1 1) into -1 2.029 * [backup-simplify]: Simplify (sqrt 0) into 0 2.030 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.030 * [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))))) 2.030 * [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))))) 2.030 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.030 * [taylor]: Taking taylor expansion of +nan.0 in n 2.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.030 * [taylor]: Taking taylor expansion of 0.5 in n 2.030 * [backup-simplify]: Simplify 0.5 into 0.5 2.030 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.030 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.030 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.030 * [taylor]: Taking taylor expansion of -2.0 in n 2.030 * [backup-simplify]: Simplify -2.0 into -2.0 2.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.030 * [taylor]: Taking taylor expansion of PI in n 2.030 * [backup-simplify]: Simplify PI into PI 2.030 * [taylor]: Taking taylor expansion of n in n 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ PI 1) into PI 2.031 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.032 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.032 * [taylor]: Taking taylor expansion of k in n 2.032 * [backup-simplify]: Simplify k into k 2.032 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.032 * [taylor]: Taking taylor expansion of 1.0 in n 2.032 * [backup-simplify]: Simplify 1.0 into 1.0 2.035 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.035 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.036 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.037 * [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))) 2.038 * [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)))) 2.039 * [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))))) 2.040 * [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))))) 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.046 * [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)))))) 2.046 * [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)))))) 2.047 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.047 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.047 * [taylor]: Taking taylor expansion of +nan.0 in n 2.047 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.047 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.047 * [taylor]: Taking taylor expansion of 0.5 in n 2.047 * [backup-simplify]: Simplify 0.5 into 0.5 2.047 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.047 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.047 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.047 * [taylor]: Taking taylor expansion of -2.0 in n 2.047 * [backup-simplify]: Simplify -2.0 into -2.0 2.047 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.047 * [taylor]: Taking taylor expansion of PI in n 2.047 * [backup-simplify]: Simplify PI into PI 2.047 * [taylor]: Taking taylor expansion of n in n 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (/ PI 1) into PI 2.048 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.049 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.049 * [taylor]: Taking taylor expansion of k in n 2.049 * [backup-simplify]: Simplify k into k 2.050 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.050 * [taylor]: Taking taylor expansion of 1.0 in n 2.050 * [backup-simplify]: Simplify 1.0 into 1.0 2.051 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.051 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.053 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.054 * [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))) 2.056 * [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)))) 2.057 * [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))))) 2.058 * [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)))))) 2.060 * [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)))))) 2.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.067 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 2.072 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.081 * [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)))))) 2.082 * [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)))))) 2.082 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.082 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.082 * [taylor]: Taking taylor expansion of +nan.0 in n 2.082 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.082 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.082 * [taylor]: Taking taylor expansion of 0.5 in n 2.082 * [backup-simplify]: Simplify 0.5 into 0.5 2.082 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.082 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.082 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.082 * [taylor]: Taking taylor expansion of -2.0 in n 2.082 * [backup-simplify]: Simplify -2.0 into -2.0 2.082 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.082 * [taylor]: Taking taylor expansion of PI in n 2.082 * [backup-simplify]: Simplify PI into PI 2.082 * [taylor]: Taking taylor expansion of n in n 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ PI 1) into PI 2.083 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.084 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.084 * [taylor]: Taking taylor expansion of k in n 2.085 * [backup-simplify]: Simplify k into k 2.085 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.085 * [taylor]: Taking taylor expansion of 1.0 in n 2.085 * [backup-simplify]: Simplify 1.0 into 1.0 2.086 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.086 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.088 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.089 * [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))) 2.090 * [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)))) 2.092 * [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))))) 2.093 * [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)))))) 2.094 * [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)))))) 2.099 * [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)))))))) 2.100 * * * [progress]: simplifying candidates 2.104 * [simplify]: Simplifying: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt 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(sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt 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n PI)) (- (+ (* +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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 2.111 * * [simplify]: iteration 0: 361 enodes 2.246 * * [simplify]: iteration 1: 1013 enodes 2.985 * * [simplify]: iteration 2: 4865 enodes 4.165 * * [simplify]: iteration complete: 5000 enodes 4.165 * * [simplify]: Extracting #0: cost 129 inf + 0 4.168 * * [simplify]: Extracting #1: cost 758 inf + 2 4.176 * * [simplify]: Extracting #2: cost 1373 inf + 127 4.187 * * [simplify]: Extracting #3: cost 1241 inf + 3225 4.199 * * [simplify]: Extracting #4: cost 552 inf + 11200 4.211 * * [simplify]: Extracting #5: cost 332 inf + 16494 4.224 * * [simplify]: Extracting #6: cost 338 inf + 18107 4.244 * * [simplify]: Extracting #7: cost 270 inf + 19310 4.257 * * [simplify]: Extracting #8: cost 74 inf + 23381 4.270 * * [simplify]: Extracting #9: cost 23 inf + 25281 4.282 * * [simplify]: Extracting #10: cost 3 inf + 28154 4.294 * * [simplify]: Extracting #11: cost 0 inf + 28690 4.306 * * [simplify]: Extracting #12: cost 0 inf + 28682 4.314 * * [simplify]: Extracting #13: cost 0 inf + 28681 4.321 * [simplify]: Simplified to: (expm1 (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (log1p (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (log (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (log (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (log (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (log (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* n 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (/ (* (cbrt (- 1.0 k)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (cbrt 2.0))) (pow (* PI (* n 2.0)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* PI (* n 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* n 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* n 2.0)) (sqrt (- 1.0 k))) (pow (* PI (* n 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ 1 (sqrt 2.0))) (* PI (* n 2.0)) (pow (* PI (* n 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* PI (* n 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 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(sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (pow (exp (/ 1.0 (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (pow 1.0 3) (/ (* (sqrt k) k) (pow (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) 3))) (pow (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (* (pow (* PI (* n 2.0)) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k))) (/ (* (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2) 2.0))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (/ (cbrt 1.0) (/ (cbrt (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) 1.0) (cbrt (sqrt k))) (/ (* 1.0 (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow (* PI (* n 2.0)) (/ 1.0 2.0)) 1.0) (sqrt k)) (* 1.0 (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (fma (* (* (* (log n) (* k k)) (pow (* PI (* n 2.0)) 0.5)) (log (* 2.0 PI))) 0.25 (- (fma (* (pow (log (* 2.0 PI)) 2) (pow (* PI (* n 2.0)) 0.5)) (* (* k k) 0.125) (fma 0.125 (* (* k k) (* (pow (* PI (* n 2.0)) 0.5) (pow (log n) 2))) (pow (* PI (* n 2.0)) 0.5))) (* 0.5 (* k (+ (* (log n) (pow (* PI (* n 2.0)) 0.5)) (* (log (* 2.0 PI)) (pow (* PI (* n 2.0)) 0.5))))))) (pow (exp (* 0.5 (- 1.0 k))) (log (* PI (* n 2.0)))) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) (* PI (* n 2.0)) (* PI (* n 2.0)) (* PI (* n 2.0)) (- (fma (* k k) +nan.0 (fma +nan.0 k (- +nan.0)))) (+ (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ (- +nan.0) (* k k))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (* k k))) (+ (- (* (* +nan.0 (* k k)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (fma (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (* (log n) (* k k)) (fma (- +nan.0) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (fma (* +nan.0 (* (* k k) (pow (log (* 2.0 PI)) 2))) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (+ (fma +nan.0 (* k (* (log (* 2.0 PI)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5))) (fma +nan.0 (fma (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (- (* (* (pow (log n) 2) k) k)) (* (* k k) (* (log (* 2.0 PI)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)))) (* (* (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) k) (log n)) (- +nan.0)))) (- (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (* +nan.0 (* (* (log n) (* k k)) (log (* 2.0 PI))))))))))) (* (* k (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (- +nan.0))) (+ (* +nan.0 (- (/ (pow (exp (* 0.5 (- 1.0 k))) (log (* PI (* n 2.0)))) k) (/ (pow (exp (* 0.5 (- 1.0 k))) (log (* PI (* n 2.0)))) (pow k 3)))) (/ (- (* +nan.0 (pow (exp (* 0.5 (- 1.0 k))) (log (* PI (* n 2.0)))))) (* k k))) (+ (* +nan.0 (- (/ (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) k) (/ (/ (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5) k) k))) (* (- +nan.0) (pow (exp (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.5))) 4.323 * * * [progress]: adding candidates to table 5.450 * * [progress]: iteration 2 / 4 5.450 * * * [progress]: picking best candidate 5.515 * * * * [pick]: Picked # 5.515 * * * [progress]: localizing error 5.561 * * * [progress]: generating rewritten candidates 5.561 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.575 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.584 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 5.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.632 * * * [progress]: generating series expansions 5.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.633 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 5.633 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 5.633 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.633 * [taylor]: Taking taylor expansion of 0.5 in k 5.633 * [backup-simplify]: Simplify 0.5 into 0.5 5.633 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.633 * [taylor]: Taking taylor expansion of 1.0 in k 5.633 * [backup-simplify]: Simplify 1.0 into 1.0 5.633 * [taylor]: Taking taylor expansion of k in k 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [taylor]: Taking taylor expansion of (log n) in k 5.633 * [taylor]: Taking taylor expansion of n in k 5.633 * [backup-simplify]: Simplify n into n 5.633 * [backup-simplify]: Simplify (log n) into (log n) 5.634 * [backup-simplify]: Simplify (- 0) into 0 5.634 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.635 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.635 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.635 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.635 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.635 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.635 * [taylor]: Taking taylor expansion of 0.5 in n 5.635 * [backup-simplify]: Simplify 0.5 into 0.5 5.635 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.635 * [taylor]: Taking taylor expansion of 1.0 in n 5.635 * [backup-simplify]: Simplify 1.0 into 1.0 5.635 * [taylor]: Taking taylor expansion of k in n 5.635 * [backup-simplify]: Simplify k into k 5.635 * [taylor]: Taking taylor expansion of (log n) in n 5.635 * [taylor]: Taking taylor expansion of n in n 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (log 1) into 0 5.636 * [backup-simplify]: Simplify (- k) into (- k) 5.636 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.636 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.637 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.637 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.637 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.637 * [taylor]: Taking taylor expansion of 0.5 in n 5.637 * [backup-simplify]: Simplify 0.5 into 0.5 5.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.637 * [taylor]: Taking taylor expansion of 1.0 in n 5.637 * [backup-simplify]: Simplify 1.0 into 1.0 5.637 * [taylor]: Taking taylor expansion of k in n 5.637 * [backup-simplify]: Simplify k into k 5.637 * [taylor]: Taking taylor expansion of (log n) in n 5.637 * [taylor]: Taking taylor expansion of n in n 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (log 1) into 0 5.638 * [backup-simplify]: Simplify (- k) into (- k) 5.638 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.638 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.638 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.638 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.639 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 5.639 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 5.639 * [taylor]: Taking taylor expansion of 0.5 in k 5.639 * [backup-simplify]: Simplify 0.5 into 0.5 5.639 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 5.639 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.639 * [taylor]: Taking taylor expansion of 1.0 in k 5.639 * [backup-simplify]: Simplify 1.0 into 1.0 5.639 * [taylor]: Taking taylor expansion of k in k 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 1 into 1 5.639 * [taylor]: Taking taylor expansion of (log n) in k 5.639 * [taylor]: Taking taylor expansion of n in k 5.639 * [backup-simplify]: Simplify n into n 5.639 * [backup-simplify]: Simplify (log n) into (log n) 5.640 * [backup-simplify]: Simplify (- 0) into 0 5.640 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.640 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.640 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 5.640 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.640 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 5.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.642 * [backup-simplify]: Simplify (- 0) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.643 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 5.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.644 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 5.645 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.645 * [taylor]: Taking taylor expansion of 0 in k 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify 0 into 0 5.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.646 * [backup-simplify]: Simplify (- 1) into -1 5.647 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.647 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 5.647 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 5.648 * [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))) 5.648 * [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))) 5.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 5.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.654 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 5.655 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.655 * [taylor]: Taking taylor expansion of 0 in k 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 0 into 0 5.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.658 * [backup-simplify]: Simplify (- 0) into 0 5.658 * [backup-simplify]: Simplify (+ 0 0) into 0 5.659 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 5.660 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 5.661 * [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))) 5.662 * [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))) 5.663 * [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)))) 5.663 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 5.663 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.663 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.663 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.663 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.663 * [taylor]: Taking taylor expansion of 0.5 in k 5.663 * [backup-simplify]: Simplify 0.5 into 0.5 5.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.664 * [taylor]: Taking taylor expansion of 1.0 in k 5.664 * [backup-simplify]: Simplify 1.0 into 1.0 5.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.664 * [taylor]: Taking taylor expansion of k in k 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 1 into 1 5.664 * [backup-simplify]: Simplify (/ 1 1) into 1 5.664 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.664 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.664 * [taylor]: Taking taylor expansion of n in k 5.664 * [backup-simplify]: Simplify n into n 5.664 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 5.664 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 5.665 * [backup-simplify]: Simplify (- 1) into -1 5.665 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.666 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.666 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 5.666 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 5.666 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.666 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.666 * [taylor]: Taking taylor expansion of 0.5 in n 5.666 * [backup-simplify]: Simplify 0.5 into 0.5 5.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.666 * [taylor]: Taking taylor expansion of 1.0 in n 5.666 * [backup-simplify]: Simplify 1.0 into 1.0 5.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.666 * [taylor]: Taking taylor expansion of k in n 5.666 * [backup-simplify]: Simplify k into k 5.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.666 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.666 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.666 * [taylor]: Taking taylor expansion of n in n 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (/ 1 1) into 1 5.667 * [backup-simplify]: Simplify (log 1) into 0 5.667 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.667 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.667 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.667 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.668 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 5.668 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 5.668 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.668 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.668 * [taylor]: Taking taylor expansion of 0.5 in n 5.668 * [backup-simplify]: Simplify 0.5 into 0.5 5.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.668 * [taylor]: Taking taylor expansion of 1.0 in n 5.668 * [backup-simplify]: Simplify 1.0 into 1.0 5.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.668 * [taylor]: Taking taylor expansion of k in n 5.668 * [backup-simplify]: Simplify k into k 5.668 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.668 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.668 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.668 * [taylor]: Taking taylor expansion of n in n 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (/ 1 1) into 1 5.669 * [backup-simplify]: Simplify (log 1) into 0 5.669 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 5.669 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 5.669 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 5.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.669 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 5.669 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 5.669 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 5.669 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 5.669 * [taylor]: Taking taylor expansion of -0.5 in k 5.669 * [backup-simplify]: Simplify -0.5 into -0.5 5.669 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 5.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.669 * [taylor]: Taking taylor expansion of 1.0 in k 5.669 * [backup-simplify]: Simplify 1.0 into 1.0 5.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.669 * [taylor]: Taking taylor expansion of k in k 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.670 * [backup-simplify]: Simplify (/ 1 1) into 1 5.670 * [taylor]: Taking taylor expansion of (log n) in k 5.670 * [taylor]: Taking taylor expansion of n in k 5.670 * [backup-simplify]: Simplify n into n 5.670 * [backup-simplify]: Simplify (log n) into (log n) 5.670 * [backup-simplify]: Simplify (- 1) into -1 5.670 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.670 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 5.670 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 5.671 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 5.671 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 5.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.672 * [backup-simplify]: Simplify (- 0) into 0 5.672 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 5.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.673 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 5.674 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.674 * [taylor]: Taking taylor expansion of 0 in k 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.676 * [backup-simplify]: Simplify (- 0) into 0 5.677 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 5.681 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.681 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 5.682 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.682 * [taylor]: Taking taylor expansion of 0 in k 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.685 * [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 5.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.686 * [backup-simplify]: Simplify (- 0) into 0 5.686 * [backup-simplify]: Simplify (+ 0 0) into 0 5.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 5.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 5.688 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 5.689 * [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 5.689 * [taylor]: Taking taylor expansion of 0 in k 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 5.689 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 5.689 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.689 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.689 * [taylor]: Taking taylor expansion of 0.5 in k 5.689 * [backup-simplify]: Simplify 0.5 into 0.5 5.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.689 * [taylor]: Taking taylor expansion of k in k 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [taylor]: Taking taylor expansion of 1.0 in k 5.690 * [backup-simplify]: Simplify 1.0 into 1.0 5.690 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.690 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.690 * [taylor]: Taking taylor expansion of -1 in k 5.690 * [backup-simplify]: Simplify -1 into -1 5.690 * [taylor]: Taking taylor expansion of n in k 5.690 * [backup-simplify]: Simplify n into n 5.690 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 5.690 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 5.690 * [backup-simplify]: Simplify (+ 1 0) into 1 5.690 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.690 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 5.691 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 5.691 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.691 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.691 * [taylor]: Taking taylor expansion of 0.5 in n 5.691 * [backup-simplify]: Simplify 0.5 into 0.5 5.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.691 * [taylor]: Taking taylor expansion of k in n 5.691 * [backup-simplify]: Simplify k into k 5.691 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.691 * [taylor]: Taking taylor expansion of 1.0 in n 5.691 * [backup-simplify]: Simplify 1.0 into 1.0 5.691 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.691 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.691 * [taylor]: Taking taylor expansion of -1 in n 5.691 * [backup-simplify]: Simplify -1 into -1 5.691 * [taylor]: Taking taylor expansion of n in n 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (/ -1 1) into -1 5.691 * [backup-simplify]: Simplify (log -1) into (log -1) 5.691 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.692 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.692 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.692 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.693 * [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)))) 5.693 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.693 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.693 * [taylor]: Taking taylor expansion of 0.5 in n 5.693 * [backup-simplify]: Simplify 0.5 into 0.5 5.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.693 * [taylor]: Taking taylor expansion of k in n 5.693 * [backup-simplify]: Simplify k into k 5.693 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.693 * [taylor]: Taking taylor expansion of 1.0 in n 5.693 * [backup-simplify]: Simplify 1.0 into 1.0 5.693 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.693 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.693 * [taylor]: Taking taylor expansion of -1 in n 5.693 * [backup-simplify]: Simplify -1 into -1 5.693 * [taylor]: Taking taylor expansion of n in n 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [backup-simplify]: Simplify (/ -1 1) into -1 5.694 * [backup-simplify]: Simplify (log -1) into (log -1) 5.694 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 5.694 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 5.694 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.695 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 5.695 * [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)))) 5.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 5.695 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 5.695 * [taylor]: Taking taylor expansion of 0.5 in k 5.695 * [backup-simplify]: Simplify 0.5 into 0.5 5.695 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 5.695 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 5.695 * [taylor]: Taking taylor expansion of (log -1) in k 5.695 * [taylor]: Taking taylor expansion of -1 in k 5.695 * [backup-simplify]: Simplify -1 into -1 5.695 * [backup-simplify]: Simplify (log -1) into (log -1) 5.695 * [taylor]: Taking taylor expansion of (log n) in k 5.695 * [taylor]: Taking taylor expansion of n in k 5.695 * [backup-simplify]: Simplify n into n 5.696 * [backup-simplify]: Simplify (log n) into (log n) 5.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.696 * [taylor]: Taking taylor expansion of k in k 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify (/ 1 1) into 1 5.696 * [taylor]: Taking taylor expansion of 1.0 in k 5.696 * [backup-simplify]: Simplify 1.0 into 1.0 5.696 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 5.696 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 5.696 * [backup-simplify]: Simplify (+ 1 0) into 1 5.697 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 5.697 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 5.697 * [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)))) 5.698 * [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)))) 5.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.699 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 5.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.699 * [backup-simplify]: Simplify (+ 0 0) into 0 5.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 5.700 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.701 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 5.702 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.702 * [taylor]: Taking taylor expansion of 0 in k 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 5.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.705 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 5.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.706 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 5.708 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.708 * [taylor]: Taking taylor expansion of 0 in k 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.714 * [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 5.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 5.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 5.718 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 5.721 * [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 5.721 * [taylor]: Taking taylor expansion of 0 in k 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [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)))) 5.722 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.722 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 5.722 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 5.722 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.722 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.723 * [taylor]: Taking taylor expansion of 0.5 in k 5.723 * [backup-simplify]: Simplify 0.5 into 0.5 5.723 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.723 * [taylor]: Taking taylor expansion of 1.0 in k 5.723 * [backup-simplify]: Simplify 1.0 into 1.0 5.723 * [taylor]: Taking taylor expansion of k in k 5.723 * [backup-simplify]: Simplify 0 into 0 5.723 * [backup-simplify]: Simplify 1 into 1 5.723 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.723 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.723 * [taylor]: Taking taylor expansion of 2.0 in k 5.723 * [backup-simplify]: Simplify 2.0 into 2.0 5.723 * [taylor]: Taking taylor expansion of PI in k 5.723 * [backup-simplify]: Simplify PI into PI 5.723 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.724 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.725 * [backup-simplify]: Simplify (- 0) into 0 5.725 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.726 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.728 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.730 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.731 * [taylor]: Taking taylor expansion of 0.5 in k 5.731 * [backup-simplify]: Simplify 0.5 into 0.5 5.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.731 * [taylor]: Taking taylor expansion of 1.0 in k 5.731 * [backup-simplify]: Simplify 1.0 into 1.0 5.731 * [taylor]: Taking taylor expansion of k in k 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 1 into 1 5.731 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.731 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.731 * [taylor]: Taking taylor expansion of 2.0 in k 5.731 * [backup-simplify]: Simplify 2.0 into 2.0 5.731 * [taylor]: Taking taylor expansion of PI in k 5.731 * [backup-simplify]: Simplify PI into PI 5.732 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.733 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.733 * [backup-simplify]: Simplify (- 0) into 0 5.734 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.734 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.735 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.737 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.738 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 5.738 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.739 * [backup-simplify]: Simplify (- 1) into -1 5.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.740 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.743 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 5.750 * [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)))) 5.755 * [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)))) 5.755 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.757 * [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 5.757 * [backup-simplify]: Simplify (- 0) into 0 5.758 * [backup-simplify]: Simplify (+ 0 0) into 0 5.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.759 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 5.773 * [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))) 5.782 * [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))) 5.802 * [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)))) 5.802 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 5.802 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 5.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.802 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.802 * [taylor]: Taking taylor expansion of 0.5 in k 5.802 * [backup-simplify]: Simplify 0.5 into 0.5 5.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.802 * [taylor]: Taking taylor expansion of 1.0 in k 5.802 * [backup-simplify]: Simplify 1.0 into 1.0 5.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.802 * [taylor]: Taking taylor expansion of k in k 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (/ 1 1) into 1 5.803 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.803 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.803 * [taylor]: Taking taylor expansion of 2.0 in k 5.803 * [backup-simplify]: Simplify 2.0 into 2.0 5.803 * [taylor]: Taking taylor expansion of PI in k 5.803 * [backup-simplify]: Simplify PI into PI 5.803 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.804 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.804 * [backup-simplify]: Simplify (- 1) into -1 5.804 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.804 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.805 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.806 * [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))))) 5.806 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.806 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.806 * [taylor]: Taking taylor expansion of 0.5 in k 5.806 * [backup-simplify]: Simplify 0.5 into 0.5 5.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.806 * [taylor]: Taking taylor expansion of 1.0 in k 5.806 * [backup-simplify]: Simplify 1.0 into 1.0 5.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.806 * [taylor]: Taking taylor expansion of k in k 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify 1 into 1 5.807 * [backup-simplify]: Simplify (/ 1 1) into 1 5.807 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.807 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.807 * [taylor]: Taking taylor expansion of 2.0 in k 5.807 * [backup-simplify]: Simplify 2.0 into 2.0 5.807 * [taylor]: Taking taylor expansion of PI in k 5.807 * [backup-simplify]: Simplify PI into PI 5.807 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.808 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.808 * [backup-simplify]: Simplify (- 1) into -1 5.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.808 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.810 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 5.810 * [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))))) 5.811 * [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))))) 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 0 into 0 5.812 * [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)))) 5.812 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 5.812 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 5.812 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.812 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.813 * [taylor]: Taking taylor expansion of 0.5 in k 5.813 * [backup-simplify]: Simplify 0.5 into 0.5 5.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.813 * [taylor]: Taking taylor expansion of k in k 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (/ 1 1) into 1 5.813 * [taylor]: Taking taylor expansion of 1.0 in k 5.813 * [backup-simplify]: Simplify 1.0 into 1.0 5.813 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.813 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.813 * [taylor]: Taking taylor expansion of 2.0 in k 5.813 * [backup-simplify]: Simplify 2.0 into 2.0 5.813 * [taylor]: Taking taylor expansion of PI in k 5.813 * [backup-simplify]: Simplify PI into PI 5.813 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.814 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.814 * [backup-simplify]: Simplify (+ 1 0) into 1 5.814 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.816 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.816 * [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)))) 5.816 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.816 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.816 * [taylor]: Taking taylor expansion of 0.5 in k 5.816 * [backup-simplify]: Simplify 0.5 into 0.5 5.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.816 * [taylor]: Taking taylor expansion of k in k 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ 1 1) into 1 5.817 * [taylor]: Taking taylor expansion of 1.0 in k 5.817 * [backup-simplify]: Simplify 1.0 into 1.0 5.817 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.817 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.817 * [taylor]: Taking taylor expansion of 2.0 in k 5.817 * [backup-simplify]: Simplify 2.0 into 2.0 5.817 * [taylor]: Taking taylor expansion of PI in k 5.817 * [backup-simplify]: Simplify PI into PI 5.817 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.818 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.818 * [backup-simplify]: Simplify (+ 1 0) into 1 5.818 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.819 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.820 * [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)))) 5.821 * [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)))) 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.822 * [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)))) 5.822 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 5.822 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 5.822 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.822 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.822 * [taylor]: Taking taylor expansion of 1.0 in k 5.822 * [backup-simplify]: Simplify 1.0 into 1.0 5.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.822 * [taylor]: Taking taylor expansion of k in k 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (/ 1 1) into 1 5.823 * [backup-simplify]: Simplify (sqrt 0) into 0 5.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.823 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.823 * [taylor]: Taking taylor expansion of 1.0 in k 5.824 * [backup-simplify]: Simplify 1.0 into 1.0 5.824 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.824 * [taylor]: Taking taylor expansion of k in k 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [backup-simplify]: Simplify (/ 1 1) into 1 5.824 * [backup-simplify]: Simplify (sqrt 0) into 0 5.825 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.825 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.826 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.830 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.830 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.837 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.839 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 5.839 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 5.839 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.839 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.839 * [taylor]: Taking taylor expansion of 1.0 in k 5.839 * [backup-simplify]: Simplify 1.0 into 1.0 5.839 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.839 * [taylor]: Taking taylor expansion of k in k 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (sqrt 0) into 0 5.841 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.841 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.841 * [taylor]: Taking taylor expansion of 1.0 in k 5.841 * [backup-simplify]: Simplify 1.0 into 1.0 5.841 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.841 * [taylor]: Taking taylor expansion of k in k 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.842 * [backup-simplify]: Simplify (sqrt 0) into 0 5.843 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.844 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.844 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.848 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.850 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.851 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.854 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.855 * [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)))))))) 5.856 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 5.856 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.856 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.856 * [taylor]: Taking taylor expansion of 1.0 in k 5.856 * [backup-simplify]: Simplify 1.0 into 1.0 5.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.856 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.856 * [taylor]: Taking taylor expansion of -1 in k 5.856 * [backup-simplify]: Simplify -1 into -1 5.856 * [taylor]: Taking taylor expansion of k in k 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (/ -1 1) into -1 5.856 * [backup-simplify]: Simplify (sqrt 0) into 0 5.857 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.857 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.857 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.857 * [taylor]: Taking taylor expansion of 1.0 in k 5.857 * [backup-simplify]: Simplify 1.0 into 1.0 5.857 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.857 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.857 * [taylor]: Taking taylor expansion of -1 in k 5.858 * [backup-simplify]: Simplify -1 into -1 5.858 * [taylor]: Taking taylor expansion of k in k 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [backup-simplify]: Simplify (/ -1 1) into -1 5.858 * [backup-simplify]: Simplify (sqrt 0) into 0 5.859 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.859 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.859 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.861 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.863 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.863 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.868 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.869 * [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))))) 5.869 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.870 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) into (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 5.870 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 5.870 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 5.870 * [taylor]: Taking taylor expansion of 1.0 in k 5.870 * [backup-simplify]: Simplify 1.0 into 1.0 5.870 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 5.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.870 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.870 * [taylor]: Taking taylor expansion of 0.5 in k 5.870 * [backup-simplify]: Simplify 0.5 into 0.5 5.870 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.870 * [taylor]: Taking taylor expansion of 1.0 in k 5.870 * [backup-simplify]: Simplify 1.0 into 1.0 5.870 * [taylor]: Taking taylor expansion of k in k 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.870 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.870 * [taylor]: Taking taylor expansion of 2.0 in k 5.870 * [backup-simplify]: Simplify 2.0 into 2.0 5.870 * [taylor]: Taking taylor expansion of PI in k 5.870 * [backup-simplify]: Simplify PI into PI 5.871 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.871 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.872 * [backup-simplify]: Simplify (- 0) into 0 5.872 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.872 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.873 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.875 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.875 * [taylor]: Taking taylor expansion of k in k 5.875 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify 1 into 1 5.875 * [backup-simplify]: Simplify (/ 1 1) into 1 5.875 * [backup-simplify]: Simplify (sqrt 0) into 0 5.876 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.876 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 5.876 * [taylor]: Taking taylor expansion of 1.0 in k 5.876 * [backup-simplify]: Simplify 1.0 into 1.0 5.876 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 5.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.876 * [taylor]: Taking taylor expansion of 0.5 in k 5.876 * [backup-simplify]: Simplify 0.5 into 0.5 5.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.876 * [taylor]: Taking taylor expansion of 1.0 in k 5.876 * [backup-simplify]: Simplify 1.0 into 1.0 5.876 * [taylor]: Taking taylor expansion of k in k 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.876 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.877 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.877 * [taylor]: Taking taylor expansion of 2.0 in k 5.877 * [backup-simplify]: Simplify 2.0 into 2.0 5.877 * [taylor]: Taking taylor expansion of PI in k 5.877 * [backup-simplify]: Simplify PI into PI 5.877 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 5.878 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 5.878 * [backup-simplify]: Simplify (- 0) into 0 5.878 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.879 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.880 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 5.883 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 5.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.883 * [taylor]: Taking taylor expansion of k in k 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.884 * [backup-simplify]: Simplify (sqrt 0) into 0 5.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.886 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) 0.5) 0) into 0 5.887 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 5.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 5.890 * [backup-simplify]: Simplify (- 1) into -1 5.890 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.892 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 5.910 * [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)))) 5.914 * [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))) 5.920 * [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))) 5.923 * [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))) 5.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.925 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.926 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 5.928 * [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 5.928 * [backup-simplify]: Simplify (- 0) into 0 5.929 * [backup-simplify]: Simplify (+ 0 0) into 0 5.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 5.940 * [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))) 5.963 * [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))))) 5.992 * [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))))) 6.011 * [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))))) 6.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.019 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.025 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 6.025 * [backup-simplify]: Simplify (- 0) into 0 6.026 * [backup-simplify]: Simplify (+ 0 0) into 0 6.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 6.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 6.053 * [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))) 6.098 * [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))))))) 6.139 * [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))))))) 6.159 * [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))))))) 6.197 * [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)))))))))))))) 6.198 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) (/ 1.0 (sqrt (/ 1 k)))) into (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 6.198 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 6.198 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 6.198 * [taylor]: Taking taylor expansion of 1.0 in k 6.198 * [backup-simplify]: Simplify 1.0 into 1.0 6.198 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 6.198 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.198 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.198 * [taylor]: Taking taylor expansion of 0.5 in k 6.198 * [backup-simplify]: Simplify 0.5 into 0.5 6.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.198 * [taylor]: Taking taylor expansion of 1.0 in k 6.198 * [backup-simplify]: Simplify 1.0 into 1.0 6.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.198 * [taylor]: Taking taylor expansion of k in k 6.198 * [backup-simplify]: Simplify 0 into 0 6.198 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (/ 1 1) into 1 6.198 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.198 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.198 * [taylor]: Taking taylor expansion of 2.0 in k 6.198 * [backup-simplify]: Simplify 2.0 into 2.0 6.198 * [taylor]: Taking taylor expansion of PI in k 6.198 * [backup-simplify]: Simplify PI into PI 6.199 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.199 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.200 * [backup-simplify]: Simplify (- 1) into -1 6.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.200 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.201 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.202 * [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))))) 6.202 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.202 * [taylor]: Taking taylor expansion of k in k 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (sqrt 0) into 0 6.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.203 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 6.203 * [taylor]: Taking taylor expansion of 1.0 in k 6.203 * [backup-simplify]: Simplify 1.0 into 1.0 6.203 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 6.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.203 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.203 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.203 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.204 * [taylor]: Taking taylor expansion of 0.5 in k 6.204 * [backup-simplify]: Simplify 0.5 into 0.5 6.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.204 * [taylor]: Taking taylor expansion of 1.0 in k 6.204 * [backup-simplify]: Simplify 1.0 into 1.0 6.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.204 * [taylor]: Taking taylor expansion of k in k 6.204 * [backup-simplify]: Simplify 0 into 0 6.204 * [backup-simplify]: Simplify 1 into 1 6.204 * [backup-simplify]: Simplify (/ 1 1) into 1 6.204 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.204 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.204 * [taylor]: Taking taylor expansion of 2.0 in k 6.204 * [backup-simplify]: Simplify 2.0 into 2.0 6.204 * [taylor]: Taking taylor expansion of PI in k 6.204 * [backup-simplify]: Simplify PI into PI 6.204 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.205 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.205 * [backup-simplify]: Simplify (- 1) into -1 6.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.206 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.208 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 6.209 * [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))))) 6.209 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.209 * [taylor]: Taking taylor expansion of k in k 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 1 into 1 6.209 * [backup-simplify]: Simplify (sqrt 0) into 0 6.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.211 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 PI))))) 0) into 0 6.212 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.213 * [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))))))) 6.214 * [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))))))) 6.214 * [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))))))) 6.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.217 * [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))))))) 6.219 * [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))))))) 6.220 * [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))))))) 6.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.224 * [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))))))) 6.226 * [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))))))) 6.227 * [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))))))) 6.230 * [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)))))))) 6.230 * [backup-simplify]: Simplify (* (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) (/ 1.0 (sqrt (/ 1 (- k))))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 6.230 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 6.230 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.230 * [taylor]: Taking taylor expansion of 1.0 in k 6.230 * [backup-simplify]: Simplify 1.0 into 1.0 6.230 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.230 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.230 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.230 * [taylor]: Taking taylor expansion of 0.5 in k 6.230 * [backup-simplify]: Simplify 0.5 into 0.5 6.230 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.231 * [taylor]: Taking taylor expansion of k in k 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.231 * [backup-simplify]: Simplify (/ 1 1) into 1 6.231 * [taylor]: Taking taylor expansion of 1.0 in k 6.231 * [backup-simplify]: Simplify 1.0 into 1.0 6.231 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.231 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.231 * [taylor]: Taking taylor expansion of 2.0 in k 6.231 * [backup-simplify]: Simplify 2.0 into 2.0 6.231 * [taylor]: Taking taylor expansion of PI in k 6.231 * [backup-simplify]: Simplify PI into PI 6.231 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.232 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.232 * [backup-simplify]: Simplify (+ 1 0) into 1 6.233 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.234 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.235 * [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)))) 6.235 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.235 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.235 * [taylor]: Taking taylor expansion of -1 in k 6.235 * [backup-simplify]: Simplify -1 into -1 6.235 * [taylor]: Taking taylor expansion of k in k 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [backup-simplify]: Simplify (/ -1 1) into -1 6.235 * [backup-simplify]: Simplify (sqrt 0) into 0 6.236 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.237 * [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))))) 6.237 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.237 * [taylor]: Taking taylor expansion of 1.0 in k 6.237 * [backup-simplify]: Simplify 1.0 into 1.0 6.237 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.237 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.237 * [taylor]: Taking taylor expansion of 0.5 in k 6.237 * [backup-simplify]: Simplify 0.5 into 0.5 6.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.237 * [taylor]: Taking taylor expansion of k in k 6.237 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify 1 into 1 6.238 * [backup-simplify]: Simplify (/ 1 1) into 1 6.238 * [taylor]: Taking taylor expansion of 1.0 in k 6.238 * [backup-simplify]: Simplify 1.0 into 1.0 6.238 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.238 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.238 * [taylor]: Taking taylor expansion of 2.0 in k 6.238 * [backup-simplify]: Simplify 2.0 into 2.0 6.238 * [taylor]: Taking taylor expansion of PI in k 6.238 * [backup-simplify]: Simplify PI into PI 6.238 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 6.239 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 6.239 * [backup-simplify]: Simplify (+ 1 0) into 1 6.239 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.240 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 6.241 * [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)))) 6.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.241 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.241 * [taylor]: Taking taylor expansion of -1 in k 6.241 * [backup-simplify]: Simplify -1 into -1 6.241 * [taylor]: Taking taylor expansion of k in k 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [backup-simplify]: Simplify (/ -1 1) into -1 6.242 * [backup-simplify]: Simplify (sqrt 0) into 0 6.242 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.243 * [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))))) 6.244 * [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))))) 6.245 * [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))))) 6.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.247 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.248 * [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)))))) 6.250 * [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)))))) 6.251 * [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)))))) 6.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.261 * [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)))))) 6.266 * [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)))))) 6.268 * [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)))))) 6.272 * [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)))))))))) 6.272 * * * [progress]: simplifying candidates 6.278 * [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))) (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))) 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2.0)) (/ 1 (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1 1)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1.0) (* (pow PI (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (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))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1.0) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (- (+ (* 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 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 (* (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)))))))))) 6.285 * * [simplify]: iteration 0: 337 enodes 6.412 * * [simplify]: iteration 1: 945 enodes 7.356 * * [simplify]: iteration 2: 4869 enodes 8.903 * * [simplify]: iteration complete: 5000 enodes 8.904 * * [simplify]: Extracting #0: cost 148 inf + 0 8.908 * * [simplify]: Extracting #1: cost 1046 inf + 5 8.918 * * [simplify]: Extracting #2: cost 1578 inf + 349 8.940 * * [simplify]: Extracting #3: cost 1473 inf + 2624 8.950 * * [simplify]: Extracting #4: cost 604 inf + 13626 8.957 * * [simplify]: Extracting #5: cost 261 inf + 18842 8.965 * * [simplify]: Extracting #6: cost 114 inf + 20877 8.971 * * [simplify]: Extracting #7: cost 17 inf + 22706 8.979 * * [simplify]: Extracting #8: cost 0 inf + 23362 8.992 * * [simplify]: Extracting #9: cost 0 inf + 23361 9.003 * [simplify]: Simplified to: 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(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 (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (log1p (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 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)))) (fma (/ (- 1.0 k) 2.0) (log (* PI 2.0)) (log (/ 1.0 (sqrt k)))) (pow (exp (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ (pow (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 3) k) (/ (pow 1.0 3) (sqrt k))) (* (pow (/ 1.0 (sqrt k)) 3) (pow (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 3)) (* (cbrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (cbrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)))) (cbrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (pow (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) 3) (sqrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (sqrt (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k))) (* (pow (* PI 2.0) (/ 1.0 2.0)) 1.0) (* (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 (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (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)))) (/ (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt (sqrt k)) (sqrt 1.0))) (/ (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt (sqrt k)) (sqrt 1.0))) (/ (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt (sqrt k)) (sqrt 1.0))) (/ (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt (sqrt k)) (sqrt 1.0))) (* (* (cbrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (sqrt k)))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (* (cbrt 1.0) (cbrt 1.0)))) (* (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt 1.0)) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (* (cbrt 1.0) (cbrt 1.0)))) (* (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt 1.0)) (/ (* (sqrt 1.0) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (sqrt 1.0) (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (fabs (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 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))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (cbrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* PI 2.0) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k)) (/ (pow (* PI 2.0) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt k) 1.0)) (* 1.0 (pow (* PI 2.0) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI 2.0) (/ 1.0 2.0))) (fma (* (* (pow (log n) 2) (pow (pow n 1.0) 0.5)) (* k k)) 0.125 (- (pow n 0.5) (* (pow (pow n 1.0) 0.5) (* (* k (log n)) 0.5)))) (pow (exp (* (- (log n)) (- 1.0 k))) -0.5) (exp (* (* 0.5 (- 1.0 k)) (- (log -1) (log (/ -1 n))))) (fma (* (* (pow (log (* PI 2.0)) 2) (* k k)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) 0.125 (- (pow (* PI 2.0) 0.5) (* 0.5 (* (* (log (* PI 2.0)) k) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) (fma (* k k) (- +nan.0) (fma +nan.0 (- k) +nan.0)) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (- (fma (* (* (pow (log (* PI 2.0)) 2) (* k k)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) +nan.0 (fma (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0)) (* k k) (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (- (* (* +nan.0 k) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0) (- (* (log (* PI 2.0)) (* k k)) (* (log (* PI 2.0)) k)))))))) (+ (* +nan.0 (- (/ (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) (pow k 3)) (/ (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) (* k k)))) (* (- +nan.0) (/ (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) k))) (+ (* (- +nan.0) (/ (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) k)) (* +nan.0 (- (/ (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5) (* k k)) (pow (exp (* (- 1.0 k) (log (* PI 2.0)))) 0.5)))) 9.004 * * * [progress]: adding candidates to table 10.250 * * [progress]: iteration 3 / 4 10.250 * * * [progress]: picking best candidate 10.342 * * * * [pick]: Picked # 10.342 * * * [progress]: localizing error 10.380 * * * [progress]: generating rewritten candidates 10.380 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 10.401 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 10.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 10.462 * * * [progress]: generating series expansions 10.463 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.463 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 10.463 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 10.463 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 10.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 10.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 10.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.463 * [taylor]: Taking taylor expansion of 0.5 in k 10.463 * [backup-simplify]: Simplify 0.5 into 0.5 10.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.463 * [taylor]: Taking taylor expansion of 1.0 in k 10.463 * [backup-simplify]: Simplify 1.0 into 1.0 10.463 * [taylor]: Taking taylor expansion of k in k 10.463 * [backup-simplify]: Simplify 0 into 0 10.463 * [backup-simplify]: Simplify 1 into 1 10.463 * [taylor]: Taking taylor expansion of (log n) in k 10.463 * [taylor]: Taking taylor expansion of n in k 10.463 * [backup-simplify]: Simplify n into n 10.463 * [backup-simplify]: Simplify (log n) into (log n) 10.464 * [backup-simplify]: Simplify (- 0) into 0 10.465 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.465 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.465 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 10.465 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.465 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.465 * [taylor]: Taking taylor expansion of 0.5 in n 10.465 * [backup-simplify]: Simplify 0.5 into 0.5 10.465 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.465 * [taylor]: Taking taylor expansion of 1.0 in n 10.466 * [backup-simplify]: Simplify 1.0 into 1.0 10.466 * [taylor]: Taking taylor expansion of k in n 10.466 * [backup-simplify]: Simplify k into k 10.466 * [taylor]: Taking taylor expansion of (log n) in n 10.466 * [taylor]: Taking taylor expansion of n in n 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [backup-simplify]: Simplify (log 1) into 0 10.466 * [backup-simplify]: Simplify (- k) into (- k) 10.466 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.466 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.467 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.467 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.467 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.467 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 10.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 10.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 10.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 10.467 * [taylor]: Taking taylor expansion of 0.5 in n 10.467 * [backup-simplify]: Simplify 0.5 into 0.5 10.467 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.467 * [taylor]: Taking taylor expansion of 1.0 in n 10.467 * [backup-simplify]: Simplify 1.0 into 1.0 10.467 * [taylor]: Taking taylor expansion of k in n 10.467 * [backup-simplify]: Simplify k into k 10.467 * [taylor]: Taking taylor expansion of (log n) in n 10.467 * [taylor]: Taking taylor expansion of n in n 10.467 * [backup-simplify]: Simplify 0 into 0 10.467 * [backup-simplify]: Simplify 1 into 1 10.468 * [backup-simplify]: Simplify (log 1) into 0 10.468 * [backup-simplify]: Simplify (- k) into (- k) 10.468 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 10.468 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 10.468 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.469 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 10.469 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 10.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 10.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 10.469 * [taylor]: Taking taylor expansion of 0.5 in k 10.469 * [backup-simplify]: Simplify 0.5 into 0.5 10.469 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 10.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.469 * [taylor]: Taking taylor expansion of 1.0 in k 10.469 * [backup-simplify]: Simplify 1.0 into 1.0 10.469 * [taylor]: Taking taylor expansion of k in k 10.469 * [backup-simplify]: Simplify 0 into 0 10.469 * [backup-simplify]: Simplify 1 into 1 10.469 * [taylor]: Taking taylor expansion of (log n) in k 10.469 * [taylor]: Taking taylor expansion of n in k 10.469 * [backup-simplify]: Simplify n into n 10.469 * [backup-simplify]: Simplify (log n) into (log n) 10.470 * [backup-simplify]: Simplify (- 0) into 0 10.470 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.470 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 10.471 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 10.471 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 10.471 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 10.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.473 * [backup-simplify]: Simplify (- 0) into 0 10.473 * [backup-simplify]: Simplify (+ 0 0) into 0 10.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 10.474 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.474 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 10.475 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.475 * [taylor]: Taking taylor expansion of 0 in k 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 10.476 * [backup-simplify]: Simplify (- 1) into -1 10.477 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.477 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 10.478 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 10.478 * [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))) 10.478 * [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))) 10.481 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.482 * [backup-simplify]: Simplify (- 0) into 0 10.482 * [backup-simplify]: Simplify (+ 0 0) into 0 10.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 10.483 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 10.484 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 10.486 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.486 * [taylor]: Taking taylor expansion of 0 in k 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 0 into 0 10.486 * [backup-simplify]: Simplify 0 into 0 10.488 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 10.488 * [backup-simplify]: Simplify (- 0) into 0 10.489 * [backup-simplify]: Simplify (+ 0 0) into 0 10.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 10.490 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 10.491 * [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))) 10.492 * [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))) 10.493 * [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)))) 10.493 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 10.493 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 10.493 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 10.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 10.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 10.493 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.493 * [taylor]: Taking taylor expansion of 0.5 in k 10.493 * [backup-simplify]: Simplify 0.5 into 0.5 10.493 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.493 * [taylor]: Taking taylor expansion of 1.0 in k 10.493 * [backup-simplify]: Simplify 1.0 into 1.0 10.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.494 * [taylor]: Taking taylor expansion of k in k 10.494 * [backup-simplify]: Simplify 0 into 0 10.494 * [backup-simplify]: Simplify 1 into 1 10.494 * [backup-simplify]: Simplify (/ 1 1) into 1 10.494 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 10.494 * [taylor]: Taking taylor expansion of (/ 1 n) in k 10.494 * [taylor]: Taking taylor expansion of n in k 10.494 * [backup-simplify]: Simplify n into n 10.494 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 10.494 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 10.495 * [backup-simplify]: Simplify (- 1) into -1 10.495 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.496 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.496 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 10.496 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 10.496 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.496 * [taylor]: Taking taylor expansion of 0.5 in n 10.496 * [backup-simplify]: Simplify 0.5 into 0.5 10.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.496 * [taylor]: Taking taylor expansion of 1.0 in n 10.496 * [backup-simplify]: Simplify 1.0 into 1.0 10.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.496 * [taylor]: Taking taylor expansion of k in n 10.496 * [backup-simplify]: Simplify k into k 10.496 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.496 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.496 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.496 * [taylor]: Taking taylor expansion of n in n 10.496 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify 1 into 1 10.497 * [backup-simplify]: Simplify (/ 1 1) into 1 10.497 * [backup-simplify]: Simplify (log 1) into 0 10.497 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.497 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.498 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.498 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 10.498 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 10.498 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 10.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 10.499 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 10.499 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 10.499 * [taylor]: Taking taylor expansion of 0.5 in n 10.499 * [backup-simplify]: Simplify 0.5 into 0.5 10.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.499 * [taylor]: Taking taylor expansion of 1.0 in n 10.499 * [backup-simplify]: Simplify 1.0 into 1.0 10.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.499 * [taylor]: Taking taylor expansion of k in n 10.499 * [backup-simplify]: Simplify k into k 10.499 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.499 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 10.499 * [taylor]: Taking taylor expansion of (/ 1 n) in n 10.499 * [taylor]: Taking taylor expansion of n in n 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [backup-simplify]: Simplify (/ 1 1) into 1 10.500 * [backup-simplify]: Simplify (log 1) into 0 10.500 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 10.500 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 10.500 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 10.501 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.501 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) 10.501 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 10.501 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) in k 10.501 * [taylor]: Taking taylor expansion of (* -0.5 (* (- 1.0 (/ 1 k)) (log n))) in k 10.501 * [taylor]: Taking taylor expansion of -0.5 in k 10.501 * [backup-simplify]: Simplify -0.5 into -0.5 10.501 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 10.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.501 * [taylor]: Taking taylor expansion of 1.0 in k 10.501 * [backup-simplify]: Simplify 1.0 into 1.0 10.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.501 * [taylor]: Taking taylor expansion of k in k 10.501 * [backup-simplify]: Simplify 0 into 0 10.501 * [backup-simplify]: Simplify 1 into 1 10.502 * [backup-simplify]: Simplify (/ 1 1) into 1 10.502 * [taylor]: Taking taylor expansion of (log n) in k 10.502 * [taylor]: Taking taylor expansion of n in k 10.502 * [backup-simplify]: Simplify n into n 10.502 * [backup-simplify]: Simplify (log n) into (log n) 10.502 * [backup-simplify]: Simplify (- 1) into -1 10.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.503 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 10.503 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 10.503 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 10.503 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) 10.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.506 * [backup-simplify]: Simplify (- 0) into 0 10.506 * [backup-simplify]: Simplify (+ 0 0) into 0 10.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 10.507 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.508 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 10.509 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.509 * [taylor]: Taking taylor expansion of 0 in k 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.512 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.513 * [backup-simplify]: Simplify (- 0) into 0 10.513 * [backup-simplify]: Simplify (+ 0 0) into 0 10.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 10.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.515 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 10.517 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.517 * [taylor]: Taking taylor expansion of 0 in k 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.524 * [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 10.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.524 * [backup-simplify]: Simplify (- 0) into 0 10.525 * [backup-simplify]: Simplify (+ 0 0) into 0 10.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 10.527 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 10.528 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 10.529 * [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 10.529 * [taylor]: Taking taylor expansion of 0 in k 10.529 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify (exp (* -0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 10.530 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 10.530 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 10.530 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 10.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 10.530 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.530 * [taylor]: Taking taylor expansion of 0.5 in k 10.530 * [backup-simplify]: Simplify 0.5 into 0.5 10.530 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.530 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.530 * [taylor]: Taking taylor expansion of k in k 10.530 * [backup-simplify]: Simplify 0 into 0 10.530 * [backup-simplify]: Simplify 1 into 1 10.531 * [backup-simplify]: Simplify (/ 1 1) into 1 10.531 * [taylor]: Taking taylor expansion of 1.0 in k 10.531 * [backup-simplify]: Simplify 1.0 into 1.0 10.531 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 10.531 * [taylor]: Taking taylor expansion of (/ -1 n) in k 10.531 * [taylor]: Taking taylor expansion of -1 in k 10.531 * [backup-simplify]: Simplify -1 into -1 10.531 * [taylor]: Taking taylor expansion of n in k 10.531 * [backup-simplify]: Simplify n into n 10.531 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 10.531 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 10.532 * [backup-simplify]: Simplify (+ 1 0) into 1 10.532 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.532 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 10.532 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 10.532 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.533 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.533 * [taylor]: Taking taylor expansion of 0.5 in n 10.533 * [backup-simplify]: Simplify 0.5 into 0.5 10.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.533 * [taylor]: Taking taylor expansion of k in n 10.533 * [backup-simplify]: Simplify k into k 10.533 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.533 * [taylor]: Taking taylor expansion of 1.0 in n 10.533 * [backup-simplify]: Simplify 1.0 into 1.0 10.533 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.533 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.533 * [taylor]: Taking taylor expansion of -1 in n 10.533 * [backup-simplify]: Simplify -1 into -1 10.533 * [taylor]: Taking taylor expansion of n in n 10.533 * [backup-simplify]: Simplify 0 into 0 10.533 * [backup-simplify]: Simplify 1 into 1 10.533 * [backup-simplify]: Simplify (/ -1 1) into -1 10.534 * [backup-simplify]: Simplify (log -1) into (log -1) 10.534 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.534 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.535 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.536 * [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)))) 10.536 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 10.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 10.536 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.536 * [taylor]: Taking taylor expansion of 0.5 in n 10.536 * [backup-simplify]: Simplify 0.5 into 0.5 10.536 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.536 * [taylor]: Taking taylor expansion of k in n 10.536 * [backup-simplify]: Simplify k into k 10.536 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 10.536 * [taylor]: Taking taylor expansion of 1.0 in n 10.536 * [backup-simplify]: Simplify 1.0 into 1.0 10.536 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 10.536 * [taylor]: Taking taylor expansion of (/ -1 n) in n 10.536 * [taylor]: Taking taylor expansion of -1 in n 10.537 * [backup-simplify]: Simplify -1 into -1 10.537 * [taylor]: Taking taylor expansion of n in n 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 1 into 1 10.537 * [backup-simplify]: Simplify (/ -1 1) into -1 10.537 * [backup-simplify]: Simplify (log -1) into (log -1) 10.538 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 10.538 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 10.538 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.539 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 10.540 * [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)))) 10.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 10.540 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 10.540 * [taylor]: Taking taylor expansion of 0.5 in k 10.540 * [backup-simplify]: Simplify 0.5 into 0.5 10.540 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 10.540 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 10.540 * [taylor]: Taking taylor expansion of (log -1) in k 10.540 * [taylor]: Taking taylor expansion of -1 in k 10.540 * [backup-simplify]: Simplify -1 into -1 10.540 * [backup-simplify]: Simplify (log -1) into (log -1) 10.540 * [taylor]: Taking taylor expansion of (log n) in k 10.540 * [taylor]: Taking taylor expansion of n in k 10.540 * [backup-simplify]: Simplify n into n 10.540 * [backup-simplify]: Simplify (log n) into (log n) 10.541 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.541 * [taylor]: Taking taylor expansion of k in k 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.541 * [backup-simplify]: Simplify (/ 1 1) into 1 10.541 * [taylor]: Taking taylor expansion of 1.0 in k 10.541 * [backup-simplify]: Simplify 1.0 into 1.0 10.541 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 10.542 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 10.542 * [backup-simplify]: Simplify (+ 1 0) into 1 10.542 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 10.543 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 10.543 * [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)))) 10.543 * [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)))) 10.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 10.545 * [backup-simplify]: Simplify (+ 0 0) into 0 10.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 10.546 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.546 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 10.547 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 10.547 * [taylor]: Taking taylor expansion of 0 in k 10.547 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 10.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.550 * [backup-simplify]: Simplify (+ 0 0) into 0 10.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 10.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.551 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 10.552 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 10.552 * [taylor]: Taking taylor expansion of 0 in k 10.552 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.556 * [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 10.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 10.556 * [backup-simplify]: Simplify (+ 0 0) into 0 10.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 10.557 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 10.558 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 10.559 * [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 10.559 * [taylor]: Taking taylor expansion of 0 in k 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 0 into 0 10.560 * [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)))) 10.560 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 10.560 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 10.560 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 10.560 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.560 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.560 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.560 * [taylor]: Taking taylor expansion of 0.5 in k 10.560 * [backup-simplify]: Simplify 0.5 into 0.5 10.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.560 * [taylor]: Taking taylor expansion of 1.0 in k 10.560 * [backup-simplify]: Simplify 1.0 into 1.0 10.560 * [taylor]: Taking taylor expansion of k in k 10.560 * [backup-simplify]: Simplify 0 into 0 10.560 * [backup-simplify]: Simplify 1 into 1 10.560 * [taylor]: Taking taylor expansion of (log PI) in k 10.560 * [taylor]: Taking taylor expansion of PI in k 10.560 * [backup-simplify]: Simplify PI into PI 10.561 * [backup-simplify]: Simplify (log PI) into (log PI) 10.561 * [backup-simplify]: Simplify (- 0) into 0 10.561 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.562 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.562 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.563 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.563 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.563 * [taylor]: Taking taylor expansion of 0.5 in k 10.563 * [backup-simplify]: Simplify 0.5 into 0.5 10.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.563 * [taylor]: Taking taylor expansion of 1.0 in k 10.563 * [backup-simplify]: Simplify 1.0 into 1.0 10.563 * [taylor]: Taking taylor expansion of k in k 10.563 * [backup-simplify]: Simplify 0 into 0 10.563 * [backup-simplify]: Simplify 1 into 1 10.564 * [taylor]: Taking taylor expansion of (log PI) in k 10.564 * [taylor]: Taking taylor expansion of PI in k 10.564 * [backup-simplify]: Simplify PI into PI 10.564 * [backup-simplify]: Simplify (log PI) into (log PI) 10.564 * [backup-simplify]: Simplify (- 0) into 0 10.564 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.565 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.565 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.567 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.567 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 10.568 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.568 * [backup-simplify]: Simplify (- 1) into -1 10.568 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.569 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.584 * [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))) 10.587 * [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))) 10.589 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.589 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify (+ 0 0) into 0 10.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.591 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 10.598 * [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))) 10.601 * [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))) 10.606 * [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)))) 10.606 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 10.606 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 10.606 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.606 * [taylor]: Taking taylor expansion of 0.5 in k 10.606 * [backup-simplify]: Simplify 0.5 into 0.5 10.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.607 * [taylor]: Taking taylor expansion of 1.0 in k 10.607 * [backup-simplify]: Simplify 1.0 into 1.0 10.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.607 * [taylor]: Taking taylor expansion of k in k 10.607 * [backup-simplify]: Simplify 0 into 0 10.607 * [backup-simplify]: Simplify 1 into 1 10.607 * [backup-simplify]: Simplify (/ 1 1) into 1 10.607 * [taylor]: Taking taylor expansion of (log PI) in k 10.607 * [taylor]: Taking taylor expansion of PI in k 10.607 * [backup-simplify]: Simplify PI into PI 10.607 * [backup-simplify]: Simplify (log PI) into (log PI) 10.607 * [backup-simplify]: Simplify (- 1) into -1 10.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.608 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.609 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.609 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 10.609 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 10.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 10.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 10.609 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 10.609 * [taylor]: Taking taylor expansion of 0.5 in k 10.609 * [backup-simplify]: Simplify 0.5 into 0.5 10.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.609 * [taylor]: Taking taylor expansion of 1.0 in k 10.609 * [backup-simplify]: Simplify 1.0 into 1.0 10.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.609 * [taylor]: Taking taylor expansion of k in k 10.609 * [backup-simplify]: Simplify 0 into 0 10.609 * [backup-simplify]: Simplify 1 into 1 10.609 * [backup-simplify]: Simplify (/ 1 1) into 1 10.609 * [taylor]: Taking taylor expansion of (log PI) in k 10.609 * [taylor]: Taking taylor expansion of PI in k 10.609 * [backup-simplify]: Simplify PI into PI 10.610 * [backup-simplify]: Simplify (log PI) into (log PI) 10.610 * [backup-simplify]: Simplify (- 1) into -1 10.610 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.611 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 10.612 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 10.612 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 10.613 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 0 into 0 10.613 * [backup-simplify]: Simplify 0 into 0 10.614 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.614 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 10.614 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 10.614 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.614 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.614 * [taylor]: Taking taylor expansion of 0.5 in k 10.615 * [backup-simplify]: Simplify 0.5 into 0.5 10.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.615 * [taylor]: Taking taylor expansion of k in k 10.615 * [backup-simplify]: Simplify 0 into 0 10.615 * [backup-simplify]: Simplify 1 into 1 10.615 * [backup-simplify]: Simplify (/ 1 1) into 1 10.615 * [taylor]: Taking taylor expansion of 1.0 in k 10.615 * [backup-simplify]: Simplify 1.0 into 1.0 10.615 * [taylor]: Taking taylor expansion of (log PI) in k 10.615 * [taylor]: Taking taylor expansion of PI in k 10.615 * [backup-simplify]: Simplify PI into PI 10.616 * [backup-simplify]: Simplify (log PI) into (log PI) 10.616 * [backup-simplify]: Simplify (+ 1 0) into 1 10.617 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.618 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.618 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 10.618 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 10.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 10.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 10.618 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.618 * [taylor]: Taking taylor expansion of 0.5 in k 10.618 * [backup-simplify]: Simplify 0.5 into 0.5 10.618 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.618 * [taylor]: Taking taylor expansion of k in k 10.619 * [backup-simplify]: Simplify 0 into 0 10.619 * [backup-simplify]: Simplify 1 into 1 10.619 * [backup-simplify]: Simplify (/ 1 1) into 1 10.619 * [taylor]: Taking taylor expansion of 1.0 in k 10.619 * [backup-simplify]: Simplify 1.0 into 1.0 10.619 * [taylor]: Taking taylor expansion of (log PI) in k 10.619 * [taylor]: Taking taylor expansion of PI in k 10.619 * [backup-simplify]: Simplify PI into PI 10.619 * [backup-simplify]: Simplify (log PI) into (log PI) 10.620 * [backup-simplify]: Simplify (+ 1 0) into 1 10.620 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 10.621 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.622 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 10.623 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.623 * [backup-simplify]: Simplify 0 into 0 10.624 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 10.624 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 10.624 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 10.624 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 10.624 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.624 * [taylor]: Taking taylor expansion of 1.0 in k 10.624 * [backup-simplify]: Simplify 1.0 into 1.0 10.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.624 * [taylor]: Taking taylor expansion of k in k 10.624 * [backup-simplify]: Simplify 0 into 0 10.624 * [backup-simplify]: Simplify 1 into 1 10.624 * [backup-simplify]: Simplify (/ 1 1) into 1 10.625 * [backup-simplify]: Simplify (sqrt 0) into 0 10.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.626 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 10.626 * [taylor]: Taking taylor expansion of 1.0 in k 10.626 * [backup-simplify]: Simplify 1.0 into 1.0 10.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.626 * [taylor]: Taking taylor expansion of k in k 10.627 * [backup-simplify]: Simplify 0 into 0 10.627 * [backup-simplify]: Simplify 1 into 1 10.627 * [backup-simplify]: Simplify (/ 1 1) into 1 10.627 * [backup-simplify]: Simplify (sqrt 0) into 0 10.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.629 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.629 * [backup-simplify]: Simplify 0 into 0 10.631 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.631 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.635 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.637 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.638 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.645 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.645 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.647 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 10.647 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 10.647 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 10.647 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.647 * [taylor]: Taking taylor expansion of 1.0 in k 10.647 * [backup-simplify]: Simplify 1.0 into 1.0 10.647 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.647 * [taylor]: Taking taylor expansion of k in k 10.647 * [backup-simplify]: Simplify 0 into 0 10.647 * [backup-simplify]: Simplify 1 into 1 10.647 * [backup-simplify]: Simplify (sqrt 0) into 0 10.649 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.649 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 10.649 * [taylor]: Taking taylor expansion of 1.0 in k 10.649 * [backup-simplify]: Simplify 1.0 into 1.0 10.649 * [taylor]: Taking taylor expansion of (sqrt k) in k 10.649 * [taylor]: Taking taylor expansion of k in k 10.649 * [backup-simplify]: Simplify 0 into 0 10.649 * [backup-simplify]: Simplify 1 into 1 10.649 * [backup-simplify]: Simplify (sqrt 0) into 0 10.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.651 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.651 * [backup-simplify]: Simplify 0 into 0 10.653 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 10.653 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.658 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 10.658 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.662 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 10.662 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.663 * [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)))))))) 10.663 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 10.663 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 10.663 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.663 * [taylor]: Taking taylor expansion of 1.0 in k 10.663 * [backup-simplify]: Simplify 1.0 into 1.0 10.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.663 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.663 * [taylor]: Taking taylor expansion of -1 in k 10.663 * [backup-simplify]: Simplify -1 into -1 10.663 * [taylor]: Taking taylor expansion of k in k 10.663 * [backup-simplify]: Simplify 0 into 0 10.663 * [backup-simplify]: Simplify 1 into 1 10.664 * [backup-simplify]: Simplify (/ -1 1) into -1 10.664 * [backup-simplify]: Simplify (sqrt 0) into 0 10.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.665 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.665 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 10.665 * [taylor]: Taking taylor expansion of 1.0 in k 10.665 * [backup-simplify]: Simplify 1.0 into 1.0 10.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.665 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.665 * [taylor]: Taking taylor expansion of -1 in k 10.665 * [backup-simplify]: Simplify -1 into -1 10.665 * [taylor]: Taking taylor expansion of k in k 10.665 * [backup-simplify]: Simplify 0 into 0 10.665 * [backup-simplify]: Simplify 1 into 1 10.665 * [backup-simplify]: Simplify (/ -1 1) into -1 10.665 * [backup-simplify]: Simplify (sqrt 0) into 0 10.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 10.667 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 10.667 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.669 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.670 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 10.671 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.676 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 10.676 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 10.677 * [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))))) 10.677 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 10.677 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) into (* 1.0 (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k)))) 10.677 * [approximate]: Taking taylor expansion of (* 1.0 (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k)))) in (k) around 0 10.677 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k)))) in k 10.677 * [taylor]: Taking taylor expansion of 1.0 in k 10.677 * [backup-simplify]: Simplify 1.0 into 1.0 10.677 * [taylor]: Taking taylor expansion of (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in k 10.677 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in k 10.677 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 10.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 10.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 10.677 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.677 * [taylor]: Taking taylor expansion of 0.5 in k 10.677 * [backup-simplify]: Simplify 0.5 into 0.5 10.677 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.678 * [taylor]: Taking taylor expansion of 1.0 in k 10.678 * [backup-simplify]: Simplify 1.0 into 1.0 10.678 * [taylor]: Taking taylor expansion of k in k 10.678 * [backup-simplify]: Simplify 0 into 0 10.678 * [backup-simplify]: Simplify 1 into 1 10.678 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.678 * [taylor]: Taking taylor expansion of 2.0 in k 10.678 * [backup-simplify]: Simplify 2.0 into 2.0 10.678 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.678 * [backup-simplify]: Simplify (- 0) into 0 10.678 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.679 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.679 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.680 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 10.680 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.680 * [taylor]: Taking taylor expansion of 0.5 in k 10.680 * [backup-simplify]: Simplify 0.5 into 0.5 10.680 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.680 * [taylor]: Taking taylor expansion of 1.0 in k 10.680 * [backup-simplify]: Simplify 1.0 into 1.0 10.680 * [taylor]: Taking taylor expansion of k in k 10.680 * [backup-simplify]: Simplify 0 into 0 10.680 * [backup-simplify]: Simplify 1 into 1 10.680 * [taylor]: Taking taylor expansion of (log PI) in k 10.680 * [taylor]: Taking taylor expansion of PI in k 10.680 * [backup-simplify]: Simplify PI into PI 10.681 * [backup-simplify]: Simplify (log PI) into (log PI) 10.681 * [backup-simplify]: Simplify (- 0) into 0 10.681 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.682 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.682 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.686 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.686 * [taylor]: Taking taylor expansion of k in k 10.686 * [backup-simplify]: Simplify 0 into 0 10.686 * [backup-simplify]: Simplify 1 into 1 10.686 * [backup-simplify]: Simplify (/ 1 1) into 1 10.687 * [backup-simplify]: Simplify (sqrt 0) into 0 10.688 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.688 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k)))) in k 10.688 * [taylor]: Taking taylor expansion of 1.0 in k 10.688 * [backup-simplify]: Simplify 1.0 into 1.0 10.688 * [taylor]: Taking taylor expansion of (* (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) (sqrt (/ 1 k))) in k 10.688 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in k 10.688 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 10.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 10.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 10.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.688 * [taylor]: Taking taylor expansion of 0.5 in k 10.688 * [backup-simplify]: Simplify 0.5 into 0.5 10.688 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.688 * [taylor]: Taking taylor expansion of 1.0 in k 10.688 * [backup-simplify]: Simplify 1.0 into 1.0 10.688 * [taylor]: Taking taylor expansion of k in k 10.688 * [backup-simplify]: Simplify 0 into 0 10.688 * [backup-simplify]: Simplify 1 into 1 10.688 * [taylor]: Taking taylor expansion of (log 2.0) in k 10.688 * [taylor]: Taking taylor expansion of 2.0 in k 10.688 * [backup-simplify]: Simplify 2.0 into 2.0 10.688 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 10.688 * [backup-simplify]: Simplify (- 0) into 0 10.689 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.689 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.689 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 10.691 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 10.691 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 10.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 10.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 10.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 10.691 * [taylor]: Taking taylor expansion of 0.5 in k 10.691 * [backup-simplify]: Simplify 0.5 into 0.5 10.691 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.691 * [taylor]: Taking taylor expansion of 1.0 in k 10.691 * [backup-simplify]: Simplify 1.0 into 1.0 10.691 * [taylor]: Taking taylor expansion of k in k 10.691 * [backup-simplify]: Simplify 0 into 0 10.691 * [backup-simplify]: Simplify 1 into 1 10.691 * [taylor]: Taking taylor expansion of (log PI) in k 10.691 * [taylor]: Taking taylor expansion of PI in k 10.691 * [backup-simplify]: Simplify PI into PI 10.691 * [backup-simplify]: Simplify (log PI) into (log PI) 10.692 * [backup-simplify]: Simplify (- 0) into 0 10.692 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.692 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 10.693 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 10.695 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 10.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 10.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.695 * [taylor]: Taking taylor expansion of k in k 10.695 * [backup-simplify]: Simplify 0 into 0 10.695 * [backup-simplify]: Simplify 1 into 1 10.695 * [backup-simplify]: Simplify (/ 1 1) into 1 10.696 * [backup-simplify]: Simplify (sqrt 0) into 0 10.697 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.698 * [backup-simplify]: Simplify (* (pow 2.0 0.5) (pow PI 0.5)) into (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 10.700 * [backup-simplify]: Simplify (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) 0) into 0 10.700 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.700 * [backup-simplify]: Simplify 0 into 0 10.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 10.702 * [backup-simplify]: Simplify (- 1) into -1 10.702 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.703 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.706 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 10.714 * [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))) 10.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 10.716 * [backup-simplify]: Simplify (- 1) into -1 10.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.718 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 10.719 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 10.724 * [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))) 10.733 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (pow PI 0.5))) into (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))))) 10.739 * [backup-simplify]: Simplify (+ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) +nan.0) (* (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 10.745 * [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))) 10.748 * [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))) 10.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 10.754 * [backup-simplify]: Simplify (- 0) into 0 10.754 * [backup-simplify]: Simplify (+ 0 0) into 0 10.755 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 10.769 * [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))) 10.772 * [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 10.772 * [backup-simplify]: Simplify (- 0) into 0 10.773 * [backup-simplify]: Simplify (+ 0 0) into 0 10.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 10.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 10.783 * [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))) 10.805 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (pow PI 0.5)))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))))) 10.846 * [backup-simplify]: Simplify (+ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) +nan.0) (+ (* (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))))) +nan.0) (* (+ (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 10.872 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (* +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 PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 10.898 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (* +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 PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log 2.0))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 10.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 10.904 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 10.907 * [backup-simplify]: Simplify (- 0) into 0 10.907 * [backup-simplify]: Simplify (+ 0 0) into 0 10.908 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 10.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 10.918 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log PI) 3) (pow (pow PI 1.0) 0.5))) 10.921 * [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 10.921 * [backup-simplify]: Simplify (- 0) into 0 10.922 * [backup-simplify]: Simplify (+ 0 0) into 0 10.923 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 10.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 10.940 * [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))) 10.979 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.020833333333333332 (* (pow (log PI) 3) (pow (pow PI 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 3))) (pow PI 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 3))) (+ (* 0.0625 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (pow (log 2.0) 2)))) (+ (* 0.0625 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log PI) 2) (log 2.0)))) (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 3))))))) 11.086 * [backup-simplify]: Simplify (+ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) +nan.0) (+ (* (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (* 0.5 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))))) +nan.0) (+ (* (+ (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))))) +nan.0) (* (- (+ (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 3))) (+ (* 0.0625 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (pow (log 2.0) 2)))) (+ (* 0.0625 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log PI) 2) (log 2.0)))) (* 0.020833333333333332 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 3))))))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0))))))))))))))) 11.180 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0)))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0))) (- (* +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 PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0)))))))))))))) 11.291 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) (log 2.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log 2.0) 2))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log 2.0)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log PI) (log 2.0)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log 2.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log 2.0)))))))))))))) 11.390 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (log PI) (log 2.0)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log 2.0) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log 2.0)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log 2.0))) (- (* +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) (* (log PI) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log 2.0) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (log PI) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log PI) k))) (- (+ (* +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) (* k (log 2.0)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log 2.0) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (log 2.0) (* (log PI) (pow k 2)))))))))))))))))))))))) 11.390 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0))) (/ 1.0 (sqrt (/ 1 k)))) into (* 1.0 (* (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k))) 11.390 * [approximate]: Taking taylor expansion of (* 1.0 (* (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k))) in (k) around 0 11.390 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k))) in k 11.390 * [taylor]: Taking taylor expansion of 1.0 in k 11.390 * [backup-simplify]: Simplify 1.0 into 1.0 11.390 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in k 11.390 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 11.390 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.390 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.390 * [taylor]: Taking taylor expansion of 0.5 in k 11.390 * [backup-simplify]: Simplify 0.5 into 0.5 11.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.390 * [taylor]: Taking taylor expansion of 1.0 in k 11.390 * [backup-simplify]: Simplify 1.0 into 1.0 11.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.390 * [taylor]: Taking taylor expansion of k in k 11.390 * [backup-simplify]: Simplify 0 into 0 11.390 * [backup-simplify]: Simplify 1 into 1 11.391 * [backup-simplify]: Simplify (/ 1 1) into 1 11.391 * [taylor]: Taking taylor expansion of (log PI) in k 11.391 * [taylor]: Taking taylor expansion of PI in k 11.391 * [backup-simplify]: Simplify PI into PI 11.391 * [backup-simplify]: Simplify (log PI) into (log PI) 11.391 * [backup-simplify]: Simplify (- 1) into -1 11.392 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.392 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.392 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.393 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 11.393 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.393 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.393 * [taylor]: Taking taylor expansion of 0.5 in k 11.393 * [backup-simplify]: Simplify 0.5 into 0.5 11.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.393 * [taylor]: Taking taylor expansion of 1.0 in k 11.393 * [backup-simplify]: Simplify 1.0 into 1.0 11.393 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.393 * [taylor]: Taking taylor expansion of k in k 11.393 * [backup-simplify]: Simplify 0 into 0 11.393 * [backup-simplify]: Simplify 1 into 1 11.393 * [backup-simplify]: Simplify (/ 1 1) into 1 11.393 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.393 * [taylor]: Taking taylor expansion of 2.0 in k 11.393 * [backup-simplify]: Simplify 2.0 into 2.0 11.394 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.394 * [backup-simplify]: Simplify (- 1) into -1 11.394 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.395 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.396 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.396 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 11.396 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.396 * [taylor]: Taking taylor expansion of k in k 11.396 * [backup-simplify]: Simplify 0 into 0 11.396 * [backup-simplify]: Simplify 1 into 1 11.397 * [backup-simplify]: Simplify (sqrt 0) into 0 11.398 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k))) in k 11.398 * [taylor]: Taking taylor expansion of 1.0 in k 11.398 * [backup-simplify]: Simplify 1.0 into 1.0 11.398 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) (sqrt k)) in k 11.398 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 11.398 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 11.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 11.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 11.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.399 * [taylor]: Taking taylor expansion of 0.5 in k 11.399 * [backup-simplify]: Simplify 0.5 into 0.5 11.399 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.399 * [taylor]: Taking taylor expansion of 1.0 in k 11.399 * [backup-simplify]: Simplify 1.0 into 1.0 11.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.399 * [taylor]: Taking taylor expansion of k in k 11.399 * [backup-simplify]: Simplify 0 into 0 11.399 * [backup-simplify]: Simplify 1 into 1 11.399 * [backup-simplify]: Simplify (/ 1 1) into 1 11.399 * [taylor]: Taking taylor expansion of (log PI) in k 11.399 * [taylor]: Taking taylor expansion of PI in k 11.399 * [backup-simplify]: Simplify PI into PI 11.400 * [backup-simplify]: Simplify (log PI) into (log PI) 11.400 * [backup-simplify]: Simplify (- 1) into -1 11.401 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.401 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.402 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 11.403 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 11.403 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 11.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 11.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 11.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.403 * [taylor]: Taking taylor expansion of 0.5 in k 11.403 * [backup-simplify]: Simplify 0.5 into 0.5 11.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.403 * [taylor]: Taking taylor expansion of 1.0 in k 11.403 * [backup-simplify]: Simplify 1.0 into 1.0 11.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.403 * [taylor]: Taking taylor expansion of k in k 11.403 * [backup-simplify]: Simplify 0 into 0 11.403 * [backup-simplify]: Simplify 1 into 1 11.404 * [backup-simplify]: Simplify (/ 1 1) into 1 11.404 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.404 * [taylor]: Taking taylor expansion of 2.0 in k 11.404 * [backup-simplify]: Simplify 2.0 into 2.0 11.404 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.404 * [backup-simplify]: Simplify (- 1) into -1 11.405 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.405 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.407 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 11.407 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 11.407 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.407 * [taylor]: Taking taylor expansion of k in k 11.407 * [backup-simplify]: Simplify 0 into 0 11.407 * [backup-simplify]: Simplify 1 into 1 11.408 * [backup-simplify]: Simplify (sqrt 0) into 0 11.409 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.410 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 11.411 * [backup-simplify]: Simplify (* (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) into 0 11.411 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.411 * [backup-simplify]: Simplify 0 into 0 11.412 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into 0 11.413 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.414 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.414 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.417 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) into 0 11.418 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.420 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.421 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.424 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))))) into 0 11.426 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.428 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.429 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) 11.431 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 11.432 * [backup-simplify]: Simplify (* (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0))) (/ 1.0 (sqrt (/ 1 (- k))))) into (* 1.0 (/ (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 11.432 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 11.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 11.432 * [taylor]: Taking taylor expansion of 1.0 in k 11.432 * [backup-simplify]: Simplify 1.0 into 1.0 11.432 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 11.432 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k 11.432 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.432 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.432 * [taylor]: Taking taylor expansion of 0.5 in k 11.432 * [backup-simplify]: Simplify 0.5 into 0.5 11.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.432 * [taylor]: Taking taylor expansion of k in k 11.432 * [backup-simplify]: Simplify 0 into 0 11.432 * [backup-simplify]: Simplify 1 into 1 11.432 * [backup-simplify]: Simplify (/ 1 1) into 1 11.432 * [taylor]: Taking taylor expansion of 1.0 in k 11.432 * [backup-simplify]: Simplify 1.0 into 1.0 11.432 * [taylor]: Taking taylor expansion of (log PI) in k 11.432 * [taylor]: Taking taylor expansion of PI in k 11.432 * [backup-simplify]: Simplify PI into PI 11.433 * [backup-simplify]: Simplify (log PI) into (log PI) 11.433 * [backup-simplify]: Simplify (+ 1 0) into 1 11.433 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.434 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.435 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 11.435 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.435 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.435 * [taylor]: Taking taylor expansion of 0.5 in k 11.435 * [backup-simplify]: Simplify 0.5 into 0.5 11.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.435 * [taylor]: Taking taylor expansion of k in k 11.435 * [backup-simplify]: Simplify 0 into 0 11.435 * [backup-simplify]: Simplify 1 into 1 11.435 * [backup-simplify]: Simplify (/ 1 1) into 1 11.435 * [taylor]: Taking taylor expansion of 1.0 in k 11.435 * [backup-simplify]: Simplify 1.0 into 1.0 11.436 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.436 * [taylor]: Taking taylor expansion of 2.0 in k 11.436 * [backup-simplify]: Simplify 2.0 into 2.0 11.436 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.437 * [backup-simplify]: Simplify (+ 1 0) into 1 11.437 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.438 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.439 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 11.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.439 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.439 * [taylor]: Taking taylor expansion of -1 in k 11.439 * [backup-simplify]: Simplify -1 into -1 11.439 * [taylor]: Taking taylor expansion of k in k 11.439 * [backup-simplify]: Simplify 0 into 0 11.439 * [backup-simplify]: Simplify 1 into 1 11.439 * [backup-simplify]: Simplify (/ -1 1) into -1 11.440 * [backup-simplify]: Simplify (sqrt 0) into 0 11.441 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.442 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.443 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.443 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 11.443 * [taylor]: Taking taylor expansion of 1.0 in k 11.444 * [backup-simplify]: Simplify 1.0 into 1.0 11.444 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 11.444 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k 11.444 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 11.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 11.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 11.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.444 * [taylor]: Taking taylor expansion of 0.5 in k 11.444 * [backup-simplify]: Simplify 0.5 into 0.5 11.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.444 * [taylor]: Taking taylor expansion of k in k 11.444 * [backup-simplify]: Simplify 0 into 0 11.444 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify (/ 1 1) into 1 11.444 * [taylor]: Taking taylor expansion of 1.0 in k 11.444 * [backup-simplify]: Simplify 1.0 into 1.0 11.444 * [taylor]: Taking taylor expansion of (log PI) in k 11.444 * [taylor]: Taking taylor expansion of PI in k 11.445 * [backup-simplify]: Simplify PI into PI 11.445 * [backup-simplify]: Simplify (log PI) into (log PI) 11.445 * [backup-simplify]: Simplify (+ 1 0) into 1 11.446 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.447 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 11.448 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 11.448 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 11.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 11.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 11.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.448 * [taylor]: Taking taylor expansion of 0.5 in k 11.448 * [backup-simplify]: Simplify 0.5 into 0.5 11.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.448 * [taylor]: Taking taylor expansion of k in k 11.448 * [backup-simplify]: Simplify 0 into 0 11.448 * [backup-simplify]: Simplify 1 into 1 11.448 * [backup-simplify]: Simplify (/ 1 1) into 1 11.448 * [taylor]: Taking taylor expansion of 1.0 in k 11.448 * [backup-simplify]: Simplify 1.0 into 1.0 11.448 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.448 * [taylor]: Taking taylor expansion of 2.0 in k 11.448 * [backup-simplify]: Simplify 2.0 into 2.0 11.449 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.449 * [backup-simplify]: Simplify (+ 1 0) into 1 11.450 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.450 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.451 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 11.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.451 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.451 * [taylor]: Taking taylor expansion of -1 in k 11.451 * [backup-simplify]: Simplify -1 into -1 11.451 * [taylor]: Taking taylor expansion of k in k 11.451 * [backup-simplify]: Simplify 0 into 0 11.451 * [backup-simplify]: Simplify 1 into 1 11.451 * [backup-simplify]: Simplify (/ -1 1) into -1 11.451 * [backup-simplify]: Simplify (sqrt 0) into 0 11.452 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.453 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 11.454 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.454 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.455 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 11.456 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0 11.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.458 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.459 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.461 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.462 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.462 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 11.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.468 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.470 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.471 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 11.473 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))))))))) 11.473 * * * [progress]: simplifying candidates 11.476 * [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))) (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 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (- (log 1.0) (log (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (- (log 1.0) (log (sqrt k)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (- (log 1.0) (log (sqrt k)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (- (log 1.0) (log (sqrt k)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (/ 1.0 (sqrt k)))) (log (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) 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* * [simplify]: Extracting #3: cost 1428 inf + 6832 11.961 * * [simplify]: Extracting #4: cost 681 inf + 19191 11.975 * * [simplify]: Extracting #5: cost 338 inf + 25474 11.990 * * [simplify]: Extracting #6: cost 301 inf + 26552 12.005 * * [simplify]: Extracting #7: cost 186 inf + 27675 12.022 * * [simplify]: Extracting #8: cost 45 inf + 29943 12.036 * * [simplify]: Extracting #9: cost 8 inf + 32277 12.044 * * [simplify]: Extracting #10: cost 0 inf + 33307 12.051 * * [simplify]: Extracting #11: cost 0 inf + 33297 12.059 * [simplify]: Simplified to: (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)) (/ (- 1.0 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)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow n (* (cbrt (- 1.0 k)) 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(log1p (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k))) (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k)) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log 2.0) (log PI)) (log (/ 1.0 (sqrt k)))) (pow (exp (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow (pow 2.0 (/ (- 1.0 k) 2.0)) 3) (* (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k)))) (* (* (pow (/ 1.0 (sqrt k)) 3) (pow (pow 2.0 (/ (- 1.0 k) 2.0)) 3)) (pow (pow PI (/ (- 1.0 k) 2.0)) 3)) (* (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (* (pow (/ 1.0 (sqrt k)) 3) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 3)) (* (cbrt (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k))) (pow (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k)) 3) (sqrt (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) 1.0)) (* (* (sqrt k) (pow 2.0 (/ k 2.0))) (pow PI (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) 1.0) (* (sqrt k) (pow PI (/ k 2.0))) (* (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (sqrt (/ 1.0 (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt 1.0) (cbrt 1.0)))) (fabs (cbrt k))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (cbrt 1.0)) (/ (sqrt (sqrt k)) (cbrt 1.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt 1.0) (cbrt 1.0)))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (cbrt 1.0)) (/ (sqrt (sqrt k)) (cbrt 1.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt 1.0) (cbrt 1.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0))) (fabs (cbrt k))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt 1.0)) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt 1.0)) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) 1.0)) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) 1.0)) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (/ 1.0 (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (/ 1.0 (sqrt k)))) (* (pow PI (/ (- 1.0 k) 2.0)) (* (pow 2.0 (/ 1.0 2.0)) (/ 1.0 (sqrt k)))) (fma (* 0.125 (pow (pow n 1.0) 0.5)) (* (pow (log n) 2) (pow k 2)) (- (pow n 0.5) (* (* 0.5 (* k (log n))) (pow (pow n 1.0) 0.5)))) (pow (exp -0.5) (* (- (log n)) (- 1.0 k))) (exp (* (- 1.0 k) (* (- (log -1) (log (/ -1 n))) 0.5))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.5 (* k (log PI)))))) (pow (exp 0.5) (* (log PI) (- 1.0 k))) (pow (exp 0.5) (* (log PI) (- 1.0 k))) (- (fma (pow k 2) +nan.0 (- (fma +nan.0 (- k) +nan.0)))) (- (- (/ +nan.0 (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (* (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow k 2)) (log PI)) (- +nan.0)) (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* +nan.0 (* (pow (log 2.0) 2) (pow k 2)))) (+ (- (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (pow k 2)) (* (* +nan.0 (* (pow k 2) (pow (log PI) 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (fma +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (+ (+ (- (* (* k (log 2.0)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0)) (* (* (pow k 2) (log 2.0)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) +nan.0))) (* +nan.0 (- (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log 2.0)) (* (log PI) (pow k 2)))))) (* (- +nan.0) (* k (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (/ (- (* (exp (* (* 0.5 (- 1.0 k)) (+ (log 2.0) (log PI)))) +nan.0)) (pow k 2)) (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (+ (log 2.0) (log PI)))) k) (/ (exp (* (* 0.5 (- 1.0 k)) (+ (log 2.0) (log PI)))) (pow k 3))))) (+ (/ (- (* (exp (* (* 0.5 (- 1.0 k)) (+ (log 2.0) (log PI)))) +nan.0)) (pow k 2)) (* +nan.0 (- (/ (exp (* (* 0.5 (- 1.0 k)) (+ (log 2.0) (log PI)))) k) (exp (* (* 0.5 (- 1.0 k)) (+ (log 2.0) (log PI))))))) 12.061 * * * [progress]: adding candidates to table 13.396 * * [progress]: iteration 4 / 4 13.396 * * * [progress]: picking best candidate 13.475 * * * * [pick]: Picked # 13.475 * * * [progress]: localizing error 13.516 * * * [progress]: generating rewritten candidates 13.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 13.527 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 13.544 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 13.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 13.580 * * * [progress]: generating series expansions 13.580 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 13.580 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 13.580 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 13.580 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 13.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 13.580 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 13.580 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 13.580 * [taylor]: Taking taylor expansion of 0.25 in k 13.580 * [backup-simplify]: Simplify 0.25 into 0.25 13.581 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.581 * [taylor]: Taking taylor expansion of 1.0 in k 13.581 * [backup-simplify]: Simplify 1.0 into 1.0 13.581 * [taylor]: Taking taylor expansion of k in k 13.581 * [backup-simplify]: Simplify 0 into 0 13.581 * [backup-simplify]: Simplify 1 into 1 13.581 * [taylor]: Taking taylor expansion of (log n) in k 13.581 * [taylor]: Taking taylor expansion of n in k 13.581 * [backup-simplify]: Simplify n into n 13.581 * [backup-simplify]: Simplify (log n) into (log n) 13.582 * [backup-simplify]: Simplify (- 0) into 0 13.582 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.582 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 13.582 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 13.582 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 13.582 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 13.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 13.582 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 13.582 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.582 * [taylor]: Taking taylor expansion of 0.25 in n 13.583 * [backup-simplify]: Simplify 0.25 into 0.25 13.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.583 * [taylor]: Taking taylor expansion of 1.0 in n 13.583 * [backup-simplify]: Simplify 1.0 into 1.0 13.583 * [taylor]: Taking taylor expansion of k in n 13.583 * [backup-simplify]: Simplify k into k 13.583 * [taylor]: Taking taylor expansion of (log n) in n 13.583 * [taylor]: Taking taylor expansion of n in n 13.583 * [backup-simplify]: Simplify 0 into 0 13.583 * [backup-simplify]: Simplify 1 into 1 13.583 * [backup-simplify]: Simplify (log 1) into 0 13.583 * [backup-simplify]: Simplify (- k) into (- k) 13.583 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.583 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.583 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.583 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 13.583 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 13.584 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 13.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 13.584 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 13.584 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.584 * [taylor]: Taking taylor expansion of 0.25 in n 13.584 * [backup-simplify]: Simplify 0.25 into 0.25 13.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.584 * [taylor]: Taking taylor expansion of 1.0 in n 13.584 * [backup-simplify]: Simplify 1.0 into 1.0 13.584 * [taylor]: Taking taylor expansion of k in n 13.584 * [backup-simplify]: Simplify k into k 13.584 * [taylor]: Taking taylor expansion of (log n) in n 13.584 * [taylor]: Taking taylor expansion of n in n 13.584 * [backup-simplify]: Simplify 0 into 0 13.584 * [backup-simplify]: Simplify 1 into 1 13.584 * [backup-simplify]: Simplify (log 1) into 0 13.584 * [backup-simplify]: Simplify (- k) into (- k) 13.584 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.584 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.584 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.584 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 13.585 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 13.585 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 13.585 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 13.585 * [taylor]: Taking taylor expansion of 0.25 in k 13.585 * [backup-simplify]: Simplify 0.25 into 0.25 13.585 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 13.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.585 * [taylor]: Taking taylor expansion of 1.0 in k 13.585 * [backup-simplify]: Simplify 1.0 into 1.0 13.585 * [taylor]: Taking taylor expansion of k in k 13.585 * [backup-simplify]: Simplify 0 into 0 13.585 * [backup-simplify]: Simplify 1 into 1 13.585 * [taylor]: Taking taylor expansion of (log n) in k 13.585 * [taylor]: Taking taylor expansion of n in k 13.585 * [backup-simplify]: Simplify n into n 13.585 * [backup-simplify]: Simplify (log n) into (log n) 13.585 * [backup-simplify]: Simplify (- 0) into 0 13.585 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.586 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 13.586 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 13.586 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 13.586 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 13.587 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.587 * [backup-simplify]: Simplify (- 0) into 0 13.587 * [backup-simplify]: Simplify (+ 0 0) into 0 13.587 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 13.588 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.588 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 13.588 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.588 * [taylor]: Taking taylor expansion of 0 in k 13.588 * [backup-simplify]: Simplify 0 into 0 13.588 * [backup-simplify]: Simplify 0 into 0 13.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 13.589 * [backup-simplify]: Simplify (- 1) into -1 13.589 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.590 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 13.590 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 13.590 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 13.590 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 13.593 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.594 * [backup-simplify]: Simplify (- 0) into 0 13.594 * [backup-simplify]: Simplify (+ 0 0) into 0 13.595 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 13.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.596 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 13.597 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.597 * [taylor]: Taking taylor expansion of 0 in k 13.597 * [backup-simplify]: Simplify 0 into 0 13.597 * [backup-simplify]: Simplify 0 into 0 13.597 * [backup-simplify]: Simplify 0 into 0 13.599 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.599 * [backup-simplify]: Simplify (- 0) into 0 13.599 * [backup-simplify]: Simplify (+ 0 0) into 0 13.600 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 13.600 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 13.601 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 13.601 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 13.602 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (pow (pow n 1.0) 0.25) (* (pow (log n) 2) (pow k 2)))) (pow n 0.25)) (* 0.25 (* (pow (pow n 1.0) 0.25) (* (log n) k)))) 13.602 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 13.602 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 13.602 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 13.602 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 13.602 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.602 * [taylor]: Taking taylor expansion of 0.25 in k 13.602 * [backup-simplify]: Simplify 0.25 into 0.25 13.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.602 * [taylor]: Taking taylor expansion of 1.0 in k 13.602 * [backup-simplify]: Simplify 1.0 into 1.0 13.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.602 * [taylor]: Taking taylor expansion of k in k 13.602 * [backup-simplify]: Simplify 0 into 0 13.602 * [backup-simplify]: Simplify 1 into 1 13.602 * [backup-simplify]: Simplify (/ 1 1) into 1 13.603 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 13.603 * [taylor]: Taking taylor expansion of (/ 1 n) in k 13.603 * [taylor]: Taking taylor expansion of n in k 13.603 * [backup-simplify]: Simplify n into n 13.603 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.603 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 13.603 * [backup-simplify]: Simplify (- 1) into -1 13.603 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.603 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.604 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 13.604 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 13.604 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 13.604 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 13.604 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.604 * [taylor]: Taking taylor expansion of 0.25 in n 13.604 * [backup-simplify]: Simplify 0.25 into 0.25 13.604 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.604 * [taylor]: Taking taylor expansion of 1.0 in n 13.604 * [backup-simplify]: Simplify 1.0 into 1.0 13.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.604 * [taylor]: Taking taylor expansion of k in n 13.604 * [backup-simplify]: Simplify k into k 13.604 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.604 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.604 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.604 * [taylor]: Taking taylor expansion of n in n 13.604 * [backup-simplify]: Simplify 0 into 0 13.604 * [backup-simplify]: Simplify 1 into 1 13.604 * [backup-simplify]: Simplify (/ 1 1) into 1 13.604 * [backup-simplify]: Simplify (log 1) into 0 13.604 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.605 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.605 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.605 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.605 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (- 1.0 (/ 1 k)) (log n))) 13.605 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.605 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 13.605 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 13.605 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.605 * [taylor]: Taking taylor expansion of 0.25 in n 13.605 * [backup-simplify]: Simplify 0.25 into 0.25 13.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.605 * [taylor]: Taking taylor expansion of 1.0 in n 13.605 * [backup-simplify]: Simplify 1.0 into 1.0 13.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.605 * [taylor]: Taking taylor expansion of k in n 13.605 * [backup-simplify]: Simplify k into k 13.605 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.605 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.605 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.605 * [taylor]: Taking taylor expansion of n in n 13.605 * [backup-simplify]: Simplify 0 into 0 13.605 * [backup-simplify]: Simplify 1 into 1 13.606 * [backup-simplify]: Simplify (/ 1 1) into 1 13.606 * [backup-simplify]: Simplify (log 1) into 0 13.606 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.606 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.606 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.607 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (- 1.0 (/ 1 k)) (log n))) 13.607 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.607 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) in k 13.607 * [taylor]: Taking taylor expansion of (* -0.25 (* (- 1.0 (/ 1 k)) (log n))) in k 13.607 * [taylor]: Taking taylor expansion of -0.25 in k 13.607 * [backup-simplify]: Simplify -0.25 into -0.25 13.607 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 13.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.607 * [taylor]: Taking taylor expansion of 1.0 in k 13.607 * [backup-simplify]: Simplify 1.0 into 1.0 13.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.607 * [taylor]: Taking taylor expansion of k in k 13.607 * [backup-simplify]: Simplify 0 into 0 13.607 * [backup-simplify]: Simplify 1 into 1 13.607 * [backup-simplify]: Simplify (/ 1 1) into 1 13.607 * [taylor]: Taking taylor expansion of (log n) in k 13.607 * [taylor]: Taking taylor expansion of n in k 13.607 * [backup-simplify]: Simplify n into n 13.607 * [backup-simplify]: Simplify (log n) into (log n) 13.607 * [backup-simplify]: Simplify (- 1) into -1 13.608 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.608 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 13.608 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 13.608 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.608 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.610 * [backup-simplify]: Simplify (- 0) into 0 13.610 * [backup-simplify]: Simplify (+ 0 0) into 0 13.610 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.611 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.611 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 13.611 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.611 * [taylor]: Taking taylor expansion of 0 in k 13.611 * [backup-simplify]: Simplify 0 into 0 13.611 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify 0 into 0 13.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.613 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.614 * [backup-simplify]: Simplify (- 0) into 0 13.614 * [backup-simplify]: Simplify (+ 0 0) into 0 13.615 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.615 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.615 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 13.616 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.616 * [taylor]: Taking taylor expansion of 0 in k 13.616 * [backup-simplify]: Simplify 0 into 0 13.616 * [backup-simplify]: Simplify 0 into 0 13.616 * [backup-simplify]: Simplify 0 into 0 13.616 * [backup-simplify]: Simplify 0 into 0 13.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.620 * [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 13.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.620 * [backup-simplify]: Simplify (- 0) into 0 13.620 * [backup-simplify]: Simplify (+ 0 0) into 0 13.621 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 13.621 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.622 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 13.623 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.623 * [taylor]: Taking taylor expansion of 0 in k 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 13.623 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 13.623 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 13.623 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 13.623 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 13.623 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.623 * [taylor]: Taking taylor expansion of 0.25 in k 13.623 * [backup-simplify]: Simplify 0.25 into 0.25 13.623 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.623 * [taylor]: Taking taylor expansion of k in k 13.623 * [backup-simplify]: Simplify 0 into 0 13.623 * [backup-simplify]: Simplify 1 into 1 13.624 * [backup-simplify]: Simplify (/ 1 1) into 1 13.624 * [taylor]: Taking taylor expansion of 1.0 in k 13.624 * [backup-simplify]: Simplify 1.0 into 1.0 13.624 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 13.624 * [taylor]: Taking taylor expansion of (/ -1 n) in k 13.624 * [taylor]: Taking taylor expansion of -1 in k 13.624 * [backup-simplify]: Simplify -1 into -1 13.624 * [taylor]: Taking taylor expansion of n in k 13.624 * [backup-simplify]: Simplify n into n 13.624 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 13.624 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 13.624 * [backup-simplify]: Simplify (+ 1 0) into 1 13.624 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.625 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 13.625 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 13.625 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 13.625 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 13.625 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.625 * [taylor]: Taking taylor expansion of 0.25 in n 13.625 * [backup-simplify]: Simplify 0.25 into 0.25 13.625 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.625 * [taylor]: Taking taylor expansion of k in n 13.625 * [backup-simplify]: Simplify k into k 13.625 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.625 * [taylor]: Taking taylor expansion of 1.0 in n 13.625 * [backup-simplify]: Simplify 1.0 into 1.0 13.625 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.625 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.625 * [taylor]: Taking taylor expansion of -1 in n 13.625 * [backup-simplify]: Simplify -1 into -1 13.625 * [taylor]: Taking taylor expansion of n in n 13.625 * [backup-simplify]: Simplify 0 into 0 13.625 * [backup-simplify]: Simplify 1 into 1 13.625 * [backup-simplify]: Simplify (/ -1 1) into -1 13.626 * [backup-simplify]: Simplify (log -1) into (log -1) 13.626 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.626 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.627 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.628 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.628 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 13.628 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 13.628 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.628 * [taylor]: Taking taylor expansion of 0.25 in n 13.628 * [backup-simplify]: Simplify 0.25 into 0.25 13.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.628 * [taylor]: Taking taylor expansion of k in n 13.628 * [backup-simplify]: Simplify k into k 13.628 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.628 * [taylor]: Taking taylor expansion of 1.0 in n 13.628 * [backup-simplify]: Simplify 1.0 into 1.0 13.628 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.628 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.628 * [taylor]: Taking taylor expansion of -1 in n 13.628 * [backup-simplify]: Simplify -1 into -1 13.628 * [taylor]: Taking taylor expansion of n in n 13.628 * [backup-simplify]: Simplify 0 into 0 13.628 * [backup-simplify]: Simplify 1 into 1 13.629 * [backup-simplify]: Simplify (/ -1 1) into -1 13.629 * [backup-simplify]: Simplify (log -1) into (log -1) 13.629 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.629 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.630 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.631 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.631 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.631 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 13.631 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 13.631 * [taylor]: Taking taylor expansion of 0.25 in k 13.631 * [backup-simplify]: Simplify 0.25 into 0.25 13.632 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 13.632 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 13.632 * [taylor]: Taking taylor expansion of (log -1) in k 13.632 * [taylor]: Taking taylor expansion of -1 in k 13.632 * [backup-simplify]: Simplify -1 into -1 13.632 * [backup-simplify]: Simplify (log -1) into (log -1) 13.632 * [taylor]: Taking taylor expansion of (log n) in k 13.632 * [taylor]: Taking taylor expansion of n in k 13.632 * [backup-simplify]: Simplify n into n 13.632 * [backup-simplify]: Simplify (log n) into (log n) 13.632 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.632 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.632 * [taylor]: Taking taylor expansion of k in k 13.632 * [backup-simplify]: Simplify 0 into 0 13.632 * [backup-simplify]: Simplify 1 into 1 13.633 * [backup-simplify]: Simplify (/ 1 1) into 1 13.633 * [taylor]: Taking taylor expansion of 1.0 in k 13.633 * [backup-simplify]: Simplify 1.0 into 1.0 13.633 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.633 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 13.634 * [backup-simplify]: Simplify (+ 1 0) into 1 13.634 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 13.635 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 13.635 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.636 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 13.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.639 * [backup-simplify]: Simplify (+ 0 0) into 0 13.639 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.641 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 13.642 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.642 * [taylor]: Taking taylor expansion of 0 in k 13.642 * [backup-simplify]: Simplify 0 into 0 13.642 * [backup-simplify]: Simplify 0 into 0 13.642 * [backup-simplify]: Simplify 0 into 0 13.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.646 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 13.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.647 * [backup-simplify]: Simplify (+ 0 0) into 0 13.648 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.650 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 13.651 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.652 * [taylor]: Taking taylor expansion of 0 in k 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 0 into 0 13.652 * [backup-simplify]: Simplify 0 into 0 13.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.658 * [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 13.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.659 * [backup-simplify]: Simplify (+ 0 0) into 0 13.660 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.661 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.667 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 13.669 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 13.669 * [taylor]: Taking taylor expansion of 0 in k 13.669 * [backup-simplify]: Simplify 0 into 0 13.669 * [backup-simplify]: Simplify 0 into 0 13.670 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 13.670 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 13.670 * [backup-simplify]: Simplify (pow n (/ (/ (- 1.0 k) 2.0) 2)) into (pow n (* 0.25 (- 1.0 k))) 13.670 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 13.670 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 13.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 13.670 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 13.670 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 13.670 * [taylor]: Taking taylor expansion of 0.25 in k 13.670 * [backup-simplify]: Simplify 0.25 into 0.25 13.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.670 * [taylor]: Taking taylor expansion of 1.0 in k 13.670 * [backup-simplify]: Simplify 1.0 into 1.0 13.671 * [taylor]: Taking taylor expansion of k in k 13.671 * [backup-simplify]: Simplify 0 into 0 13.671 * [backup-simplify]: Simplify 1 into 1 13.671 * [taylor]: Taking taylor expansion of (log n) in k 13.671 * [taylor]: Taking taylor expansion of n in k 13.671 * [backup-simplify]: Simplify n into n 13.671 * [backup-simplify]: Simplify (log n) into (log n) 13.671 * [backup-simplify]: Simplify (- 0) into 0 13.672 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.672 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 13.672 * [backup-simplify]: Simplify (* 0.25 (log n)) into (* 0.25 (log n)) 13.672 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 13.672 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 13.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 13.672 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 13.672 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.672 * [taylor]: Taking taylor expansion of 0.25 in n 13.672 * [backup-simplify]: Simplify 0.25 into 0.25 13.672 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.672 * [taylor]: Taking taylor expansion of 1.0 in n 13.672 * [backup-simplify]: Simplify 1.0 into 1.0 13.672 * [taylor]: Taking taylor expansion of k in n 13.672 * [backup-simplify]: Simplify k into k 13.672 * [taylor]: Taking taylor expansion of (log n) in n 13.672 * [taylor]: Taking taylor expansion of n in n 13.672 * [backup-simplify]: Simplify 0 into 0 13.673 * [backup-simplify]: Simplify 1 into 1 13.673 * [backup-simplify]: Simplify (log 1) into 0 13.673 * [backup-simplify]: Simplify (- k) into (- k) 13.673 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.673 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.673 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.674 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 13.674 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 13.674 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 13.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 13.674 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 13.674 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 13.674 * [taylor]: Taking taylor expansion of 0.25 in n 13.674 * [backup-simplify]: Simplify 0.25 into 0.25 13.674 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 13.674 * [taylor]: Taking taylor expansion of 1.0 in n 13.674 * [backup-simplify]: Simplify 1.0 into 1.0 13.674 * [taylor]: Taking taylor expansion of k in n 13.674 * [backup-simplify]: Simplify k into k 13.674 * [taylor]: Taking taylor expansion of (log n) in n 13.674 * [taylor]: Taking taylor expansion of n in n 13.674 * [backup-simplify]: Simplify 0 into 0 13.674 * [backup-simplify]: Simplify 1 into 1 13.675 * [backup-simplify]: Simplify (log 1) into 0 13.675 * [backup-simplify]: Simplify (- k) into (- k) 13.675 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 13.675 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 13.675 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.675 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (log n)) into (* 0.25 (* (- 1.0 k) (log n))) 13.676 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (log n)))) into (exp (* 0.25 (* (- 1.0 k) (log n)))) 13.676 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 13.676 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 13.676 * [taylor]: Taking taylor expansion of 0.25 in k 13.676 * [backup-simplify]: Simplify 0.25 into 0.25 13.676 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 13.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.676 * [taylor]: Taking taylor expansion of 1.0 in k 13.676 * [backup-simplify]: Simplify 1.0 into 1.0 13.676 * [taylor]: Taking taylor expansion of k in k 13.676 * [backup-simplify]: Simplify 0 into 0 13.676 * [backup-simplify]: Simplify 1 into 1 13.676 * [taylor]: Taking taylor expansion of (log n) in k 13.676 * [taylor]: Taking taylor expansion of n in k 13.676 * [backup-simplify]: Simplify n into n 13.676 * [backup-simplify]: Simplify (log n) into (log n) 13.676 * [backup-simplify]: Simplify (- 0) into 0 13.677 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.677 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 13.677 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (log n))) into (* 0.25 (log n)) 13.677 * [backup-simplify]: Simplify (exp (* 0.25 (log n))) into (pow n 0.25) 13.677 * [backup-simplify]: Simplify (pow n 0.25) into (pow n 0.25) 13.679 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.679 * [backup-simplify]: Simplify (- 0) into 0 13.679 * [backup-simplify]: Simplify (+ 0 0) into 0 13.680 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 13.680 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.680 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (log n))) into 0 13.681 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.681 * [taylor]: Taking taylor expansion of 0 in k 13.681 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify 0 into 0 13.682 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 13.683 * [backup-simplify]: Simplify (- 1) into -1 13.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.684 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 13.684 * [backup-simplify]: Simplify (+ (* 0.25 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.25 (log n))) 13.684 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 1) 1)))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 13.685 * [backup-simplify]: Simplify (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) into (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) 13.687 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.687 * [backup-simplify]: Simplify (- 0) into 0 13.688 * [backup-simplify]: Simplify (+ 0 0) into 0 13.688 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 13.688 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 13.689 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 13.690 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.690 * [taylor]: Taking taylor expansion of 0 in k 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.690 * [backup-simplify]: Simplify 0 into 0 13.691 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 13.691 * [backup-simplify]: Simplify (- 0) into 0 13.692 * [backup-simplify]: Simplify (+ 0 0) into 0 13.692 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 13.692 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 13.693 * [backup-simplify]: Simplify (* (exp (* 0.25 (log n))) (+ (* (/ (pow (- (* 0.25 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 13.693 * [backup-simplify]: Simplify (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) into (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) 13.694 * [backup-simplify]: Simplify (+ (* (* 0.03125 (* (pow (pow n 1.0) 0.25) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.25 (* (pow (pow n 1.0) 0.25) (log n))) (* k 1)) (pow n 0.25))) into (- (+ (* 0.03125 (* (pow (pow n 1.0) 0.25) (* (pow (log n) 2) (pow k 2)))) (pow n 0.25)) (* 0.25 (* (pow (pow n 1.0) 0.25) (* (log n) k)))) 13.694 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) 13.694 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 13.694 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 13.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 13.694 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 13.694 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 13.694 * [taylor]: Taking taylor expansion of 0.25 in k 13.694 * [backup-simplify]: Simplify 0.25 into 0.25 13.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.694 * [taylor]: Taking taylor expansion of 1.0 in k 13.694 * [backup-simplify]: Simplify 1.0 into 1.0 13.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.694 * [taylor]: Taking taylor expansion of k in k 13.694 * [backup-simplify]: Simplify 0 into 0 13.694 * [backup-simplify]: Simplify 1 into 1 13.695 * [backup-simplify]: Simplify (/ 1 1) into 1 13.695 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 13.695 * [taylor]: Taking taylor expansion of (/ 1 n) in k 13.695 * [taylor]: Taking taylor expansion of n in k 13.695 * [backup-simplify]: Simplify n into n 13.695 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 13.695 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 13.695 * [backup-simplify]: Simplify (- 1) into -1 13.695 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.696 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 13.696 * [backup-simplify]: Simplify (* -0.25 (log (/ 1 n))) into (* -0.25 (log (/ 1 n))) 13.696 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (/ 1 n))))) 13.696 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 13.696 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 13.696 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.696 * [taylor]: Taking taylor expansion of 0.25 in n 13.696 * [backup-simplify]: Simplify 0.25 into 0.25 13.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.696 * [taylor]: Taking taylor expansion of 1.0 in n 13.696 * [backup-simplify]: Simplify 1.0 into 1.0 13.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.696 * [taylor]: Taking taylor expansion of k in n 13.696 * [backup-simplify]: Simplify k into k 13.696 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.696 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.696 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.696 * [taylor]: Taking taylor expansion of n in n 13.696 * [backup-simplify]: Simplify 0 into 0 13.696 * [backup-simplify]: Simplify 1 into 1 13.697 * [backup-simplify]: Simplify (/ 1 1) into 1 13.697 * [backup-simplify]: Simplify (log 1) into 0 13.697 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.697 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.697 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.697 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (- 1.0 (/ 1 k)) (log n))) 13.698 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.698 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 13.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 13.698 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 13.698 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 13.698 * [taylor]: Taking taylor expansion of 0.25 in n 13.698 * [backup-simplify]: Simplify 0.25 into 0.25 13.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 13.698 * [taylor]: Taking taylor expansion of 1.0 in n 13.698 * [backup-simplify]: Simplify 1.0 into 1.0 13.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.698 * [taylor]: Taking taylor expansion of k in n 13.698 * [backup-simplify]: Simplify k into k 13.698 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.698 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 13.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 13.698 * [taylor]: Taking taylor expansion of n in n 13.698 * [backup-simplify]: Simplify 0 into 0 13.698 * [backup-simplify]: Simplify 1 into 1 13.698 * [backup-simplify]: Simplify (/ 1 1) into 1 13.699 * [backup-simplify]: Simplify (log 1) into 0 13.699 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 13.699 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 13.699 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 13.699 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.699 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.25 (* (- 1.0 (/ 1 k)) (log n))) 13.699 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.699 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) in k 13.699 * [taylor]: Taking taylor expansion of (* -0.25 (* (- 1.0 (/ 1 k)) (log n))) in k 13.699 * [taylor]: Taking taylor expansion of -0.25 in k 13.699 * [backup-simplify]: Simplify -0.25 into -0.25 13.700 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log n)) in k 13.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.700 * [taylor]: Taking taylor expansion of 1.0 in k 13.700 * [backup-simplify]: Simplify 1.0 into 1.0 13.700 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.700 * [taylor]: Taking taylor expansion of k in k 13.700 * [backup-simplify]: Simplify 0 into 0 13.700 * [backup-simplify]: Simplify 1 into 1 13.700 * [backup-simplify]: Simplify (/ 1 1) into 1 13.700 * [taylor]: Taking taylor expansion of (log n) in k 13.700 * [taylor]: Taking taylor expansion of n in k 13.700 * [backup-simplify]: Simplify n into n 13.700 * [backup-simplify]: Simplify (log n) into (log n) 13.700 * [backup-simplify]: Simplify (- 1) into -1 13.700 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.701 * [backup-simplify]: Simplify (* -1 (log n)) into (* -1 (log n)) 13.701 * [backup-simplify]: Simplify (* -0.25 (* -1 (log n))) into (* 0.25 (log n)) 13.701 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.701 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) into (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) 13.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.702 * [backup-simplify]: Simplify (- 0) into 0 13.703 * [backup-simplify]: Simplify (+ 0 0) into 0 13.703 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 13.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.703 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 13.704 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.704 * [taylor]: Taking taylor expansion of 0 in k 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.704 * [backup-simplify]: Simplify 0 into 0 13.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.707 * [backup-simplify]: Simplify (- 0) into 0 13.707 * [backup-simplify]: Simplify (+ 0 0) into 0 13.708 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 13.708 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.708 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 13.709 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.709 * [taylor]: Taking taylor expansion of 0 in k 13.709 * [backup-simplify]: Simplify 0 into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.709 * [backup-simplify]: Simplify 0 into 0 13.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.713 * [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 13.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.713 * [backup-simplify]: Simplify (- 0) into 0 13.713 * [backup-simplify]: Simplify (+ 0 0) into 0 13.714 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 13.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 13.715 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 13.716 * [backup-simplify]: Simplify (* (exp (* -0.25 (* (- 1.0 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.716 * [taylor]: Taking taylor expansion of 0 in k 13.716 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify 0 into 0 13.716 * [backup-simplify]: Simplify (exp (* -0.25 (* (- 1.0 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) 13.717 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) 13.717 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 13.717 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 13.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 13.717 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 13.717 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 13.717 * [taylor]: Taking taylor expansion of 0.25 in k 13.717 * [backup-simplify]: Simplify 0.25 into 0.25 13.717 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.717 * [taylor]: Taking taylor expansion of k in k 13.717 * [backup-simplify]: Simplify 0 into 0 13.717 * [backup-simplify]: Simplify 1 into 1 13.717 * [backup-simplify]: Simplify (/ 1 1) into 1 13.717 * [taylor]: Taking taylor expansion of 1.0 in k 13.717 * [backup-simplify]: Simplify 1.0 into 1.0 13.717 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 13.717 * [taylor]: Taking taylor expansion of (/ -1 n) in k 13.717 * [taylor]: Taking taylor expansion of -1 in k 13.717 * [backup-simplify]: Simplify -1 into -1 13.717 * [taylor]: Taking taylor expansion of n in k 13.717 * [backup-simplify]: Simplify n into n 13.717 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 13.717 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 13.718 * [backup-simplify]: Simplify (+ 1 0) into 1 13.718 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 13.718 * [backup-simplify]: Simplify (* 0.25 (log (/ -1 n))) into (* 0.25 (log (/ -1 n))) 13.718 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.25 (* (log (/ -1 n)) (+ (/ 1 k) 1.0)))) 13.718 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 13.718 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 13.718 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.718 * [taylor]: Taking taylor expansion of 0.25 in n 13.718 * [backup-simplify]: Simplify 0.25 into 0.25 13.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.718 * [taylor]: Taking taylor expansion of k in n 13.718 * [backup-simplify]: Simplify k into k 13.718 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.718 * [taylor]: Taking taylor expansion of 1.0 in n 13.718 * [backup-simplify]: Simplify 1.0 into 1.0 13.718 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.718 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.718 * [taylor]: Taking taylor expansion of -1 in n 13.718 * [backup-simplify]: Simplify -1 into -1 13.718 * [taylor]: Taking taylor expansion of n in n 13.718 * [backup-simplify]: Simplify 0 into 0 13.718 * [backup-simplify]: Simplify 1 into 1 13.719 * [backup-simplify]: Simplify (/ -1 1) into -1 13.719 * [backup-simplify]: Simplify (log -1) into (log -1) 13.719 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.719 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.720 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.720 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.720 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.720 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 13.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 13.720 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 13.720 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 13.720 * [taylor]: Taking taylor expansion of 0.25 in n 13.720 * [backup-simplify]: Simplify 0.25 into 0.25 13.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 13.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 13.720 * [taylor]: Taking taylor expansion of k in n 13.720 * [backup-simplify]: Simplify k into k 13.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 13.721 * [taylor]: Taking taylor expansion of 1.0 in n 13.721 * [backup-simplify]: Simplify 1.0 into 1.0 13.721 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 13.721 * [taylor]: Taking taylor expansion of (/ -1 n) in n 13.721 * [taylor]: Taking taylor expansion of -1 in n 13.721 * [backup-simplify]: Simplify -1 into -1 13.721 * [taylor]: Taking taylor expansion of n in n 13.721 * [backup-simplify]: Simplify 0 into 0 13.721 * [backup-simplify]: Simplify 1 into 1 13.721 * [backup-simplify]: Simplify (/ -1 1) into -1 13.721 * [backup-simplify]: Simplify (log -1) into (log -1) 13.721 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 13.721 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 13.722 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.722 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 13.723 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.723 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 13.723 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 13.723 * [taylor]: Taking taylor expansion of 0.25 in k 13.723 * [backup-simplify]: Simplify 0.25 into 0.25 13.723 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 13.723 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 13.723 * [taylor]: Taking taylor expansion of (log -1) in k 13.723 * [taylor]: Taking taylor expansion of -1 in k 13.723 * [backup-simplify]: Simplify -1 into -1 13.723 * [backup-simplify]: Simplify (log -1) into (log -1) 13.723 * [taylor]: Taking taylor expansion of (log n) in k 13.723 * [taylor]: Taking taylor expansion of n in k 13.723 * [backup-simplify]: Simplify n into n 13.723 * [backup-simplify]: Simplify (log n) into (log n) 13.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.723 * [taylor]: Taking taylor expansion of k in k 13.723 * [backup-simplify]: Simplify 0 into 0 13.723 * [backup-simplify]: Simplify 1 into 1 13.723 * [backup-simplify]: Simplify (/ 1 1) into 1 13.723 * [taylor]: Taking taylor expansion of 1.0 in k 13.723 * [backup-simplify]: Simplify 1.0 into 1.0 13.724 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 13.724 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 13.724 * [backup-simplify]: Simplify (+ 1 0) into 1 13.724 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 13.725 * [backup-simplify]: Simplify (* 0.25 (- (log -1) (log n))) into (* 0.25 (- (log -1) (log n))) 13.725 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.725 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 13.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 13.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 13.727 * [backup-simplify]: Simplify (+ 0 0) into 0 13.727 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 13.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.728 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 13.729 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.729 * [taylor]: Taking taylor expansion of 0 in k 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [backup-simplify]: Simplify 0 into 0 13.729 * [backup-simplify]: Simplify 0 into 0 13.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.732 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 13.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.733 * [backup-simplify]: Simplify (+ 0 0) into 0 13.734 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 13.735 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.736 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 13.738 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.738 * [taylor]: Taking taylor expansion of 0 in k 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.738 * [backup-simplify]: Simplify 0 into 0 13.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.742 * [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 13.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 13.742 * [backup-simplify]: Simplify (+ 0 0) into 0 13.743 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 13.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 13.744 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 13.745 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (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 13.745 * [taylor]: Taking taylor expansion of 0 in k 13.745 * [backup-simplify]: Simplify 0 into 0 13.745 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) 13.746 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 13.746 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 13.746 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 13.746 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 13.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 13.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 13.746 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.746 * [taylor]: Taking taylor expansion of 0.5 in k 13.746 * [backup-simplify]: Simplify 0.5 into 0.5 13.746 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.746 * [taylor]: Taking taylor expansion of 1.0 in k 13.746 * [backup-simplify]: Simplify 1.0 into 1.0 13.746 * [taylor]: Taking taylor expansion of k in k 13.746 * [backup-simplify]: Simplify 0 into 0 13.746 * [backup-simplify]: Simplify 1 into 1 13.746 * [taylor]: Taking taylor expansion of (log PI) in k 13.746 * [taylor]: Taking taylor expansion of PI in k 13.746 * [backup-simplify]: Simplify PI into PI 13.747 * [backup-simplify]: Simplify (log PI) into (log PI) 13.747 * [backup-simplify]: Simplify (- 0) into 0 13.747 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.747 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.748 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.749 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 13.749 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 13.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 13.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 13.749 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 13.749 * [taylor]: Taking taylor expansion of 0.5 in k 13.749 * [backup-simplify]: Simplify 0.5 into 0.5 13.749 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 13.749 * [taylor]: Taking taylor expansion of 1.0 in k 13.749 * [backup-simplify]: Simplify 1.0 into 1.0 13.750 * [taylor]: Taking taylor expansion of k in k 13.750 * [backup-simplify]: Simplify 0 into 0 13.750 * [backup-simplify]: Simplify 1 into 1 13.750 * [taylor]: Taking taylor expansion of (log PI) in k 13.750 * [taylor]: Taking taylor expansion of PI in k 13.750 * [backup-simplify]: Simplify PI into PI 13.750 * [backup-simplify]: Simplify (log PI) into (log PI) 13.750 * [backup-simplify]: Simplify (- 0) into 0 13.751 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 13.751 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 13.752 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.753 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 13.754 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 13.755 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 13.755 * [backup-simplify]: Simplify (- 1) into -1 13.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.756 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 13.758 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 13.764 * [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))) 13.767 * [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))) 13.770 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 13.771 * [backup-simplify]: Simplify (- 0) into 0 13.771 * [backup-simplify]: Simplify (+ 0 0) into 0 13.772 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 13.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 13.791 * [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))) 13.797 * [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))) 13.807 * [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)))) 13.807 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 13.807 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 13.807 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.808 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.808 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.808 * [taylor]: Taking taylor expansion of 0.5 in k 13.808 * [backup-simplify]: Simplify 0.5 into 0.5 13.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.808 * [taylor]: Taking taylor expansion of 1.0 in k 13.808 * [backup-simplify]: Simplify 1.0 into 1.0 13.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.808 * [taylor]: Taking taylor expansion of k in k 13.808 * [backup-simplify]: Simplify 0 into 0 13.808 * [backup-simplify]: Simplify 1 into 1 13.808 * [backup-simplify]: Simplify (/ 1 1) into 1 13.808 * [taylor]: Taking taylor expansion of (log PI) in k 13.808 * [taylor]: Taking taylor expansion of PI in k 13.808 * [backup-simplify]: Simplify PI into PI 13.809 * [backup-simplify]: Simplify (log PI) into (log PI) 13.810 * [backup-simplify]: Simplify (- 1) into -1 13.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.810 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.812 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 13.812 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 13.812 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 13.812 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 13.812 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 13.812 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 13.812 * [taylor]: Taking taylor expansion of 0.5 in k 13.812 * [backup-simplify]: Simplify 0.5 into 0.5 13.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 13.812 * [taylor]: Taking taylor expansion of 1.0 in k 13.812 * [backup-simplify]: Simplify 1.0 into 1.0 13.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.813 * [taylor]: Taking taylor expansion of k in k 13.813 * [backup-simplify]: Simplify 0 into 0 13.813 * [backup-simplify]: Simplify 1 into 1 13.813 * [backup-simplify]: Simplify (/ 1 1) into 1 13.813 * [taylor]: Taking taylor expansion of (log PI) in k 13.813 * [taylor]: Taking taylor expansion of PI in k 13.813 * [backup-simplify]: Simplify PI into PI 13.814 * [backup-simplify]: Simplify (log PI) into (log PI) 13.814 * [backup-simplify]: Simplify (- 1) into -1 13.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.815 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 13.816 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 13.817 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 13.817 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify 0 into 0 13.818 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 13.819 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 13.819 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 13.819 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.819 * [taylor]: Taking taylor expansion of 0.5 in k 13.819 * [backup-simplify]: Simplify 0.5 into 0.5 13.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.819 * [taylor]: Taking taylor expansion of k in k 13.819 * [backup-simplify]: Simplify 0 into 0 13.819 * [backup-simplify]: Simplify 1 into 1 13.820 * [backup-simplify]: Simplify (/ 1 1) into 1 13.820 * [taylor]: Taking taylor expansion of 1.0 in k 13.820 * [backup-simplify]: Simplify 1.0 into 1.0 13.820 * [taylor]: Taking taylor expansion of (log PI) in k 13.820 * [taylor]: Taking taylor expansion of PI in k 13.820 * [backup-simplify]: Simplify PI into PI 13.820 * [backup-simplify]: Simplify (log PI) into (log PI) 13.821 * [backup-simplify]: Simplify (+ 1 0) into 1 13.821 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.822 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.823 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 13.823 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.823 * [taylor]: Taking taylor expansion of 0.5 in k 13.823 * [backup-simplify]: Simplify 0.5 into 0.5 13.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.823 * [taylor]: Taking taylor expansion of k in k 13.823 * [backup-simplify]: Simplify 0 into 0 13.823 * [backup-simplify]: Simplify 1 into 1 13.824 * [backup-simplify]: Simplify (/ 1 1) into 1 13.824 * [taylor]: Taking taylor expansion of 1.0 in k 13.824 * [backup-simplify]: Simplify 1.0 into 1.0 13.824 * [taylor]: Taking taylor expansion of (log PI) in k 13.824 * [taylor]: Taking taylor expansion of PI in k 13.824 * [backup-simplify]: Simplify PI into PI 13.824 * [backup-simplify]: Simplify (log PI) into (log PI) 13.825 * [backup-simplify]: Simplify (+ 1 0) into 1 13.825 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.826 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.827 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 13.827 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 13.827 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify 0 into 0 13.828 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 13.828 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 13.829 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 13.829 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 13.829 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.829 * [taylor]: Taking taylor expansion of 1.0 in k 13.829 * [backup-simplify]: Simplify 1.0 into 1.0 13.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.829 * [taylor]: Taking taylor expansion of k in k 13.829 * [backup-simplify]: Simplify 0 into 0 13.829 * [backup-simplify]: Simplify 1 into 1 13.829 * [backup-simplify]: Simplify (/ 1 1) into 1 13.830 * [backup-simplify]: Simplify (sqrt 0) into 0 13.831 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.831 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 13.831 * [taylor]: Taking taylor expansion of 1.0 in k 13.831 * [backup-simplify]: Simplify 1.0 into 1.0 13.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 13.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.831 * [taylor]: Taking taylor expansion of k in k 13.831 * [backup-simplify]: Simplify 0 into 0 13.831 * [backup-simplify]: Simplify 1 into 1 13.832 * [backup-simplify]: Simplify (/ 1 1) into 1 13.832 * [backup-simplify]: Simplify (sqrt 0) into 0 13.834 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.834 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.834 * [backup-simplify]: Simplify 0 into 0 13.836 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.836 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.839 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.840 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.841 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.845 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.845 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.846 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 13.846 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 13.847 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 13.847 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.847 * [taylor]: Taking taylor expansion of 1.0 in k 13.847 * [backup-simplify]: Simplify 1.0 into 1.0 13.847 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.847 * [taylor]: Taking taylor expansion of k in k 13.847 * [backup-simplify]: Simplify 0 into 0 13.847 * [backup-simplify]: Simplify 1 into 1 13.847 * [backup-simplify]: Simplify (sqrt 0) into 0 13.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.848 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 13.848 * [taylor]: Taking taylor expansion of 1.0 in k 13.848 * [backup-simplify]: Simplify 1.0 into 1.0 13.848 * [taylor]: Taking taylor expansion of (sqrt k) in k 13.848 * [taylor]: Taking taylor expansion of k in k 13.848 * [backup-simplify]: Simplify 0 into 0 13.848 * [backup-simplify]: Simplify 1 into 1 13.848 * [backup-simplify]: Simplify (sqrt 0) into 0 13.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.849 * [backup-simplify]: Simplify (* 1.0 0) into 0 13.849 * [backup-simplify]: Simplify 0 into 0 13.850 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 13.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.852 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.853 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 13.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.857 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 13.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.858 * [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)))))))) 13.859 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 13.859 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 13.859 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.859 * [taylor]: Taking taylor expansion of 1.0 in k 13.859 * [backup-simplify]: Simplify 1.0 into 1.0 13.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.859 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.859 * [taylor]: Taking taylor expansion of -1 in k 13.859 * [backup-simplify]: Simplify -1 into -1 13.859 * [taylor]: Taking taylor expansion of k in k 13.859 * [backup-simplify]: Simplify 0 into 0 13.859 * [backup-simplify]: Simplify 1 into 1 13.859 * [backup-simplify]: Simplify (/ -1 1) into -1 13.859 * [backup-simplify]: Simplify (sqrt 0) into 0 13.860 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.860 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.860 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 13.860 * [taylor]: Taking taylor expansion of 1.0 in k 13.860 * [backup-simplify]: Simplify 1.0 into 1.0 13.860 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.860 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.860 * [taylor]: Taking taylor expansion of -1 in k 13.860 * [backup-simplify]: Simplify -1 into -1 13.860 * [taylor]: Taking taylor expansion of k in k 13.860 * [backup-simplify]: Simplify 0 into 0 13.860 * [backup-simplify]: Simplify 1 into 1 13.861 * [backup-simplify]: Simplify (/ -1 1) into -1 13.861 * [backup-simplify]: Simplify (sqrt 0) into 0 13.862 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.862 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 13.862 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.864 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.866 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.866 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.875 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.876 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.877 * [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))))) 13.877 * * * [progress]: simplifying candidates 13.883 * [simplify]: Simplifying: (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) 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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))) (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) (- (+ (* 0.03125 (* (pow (pow n 1.0) 0.25) (* (pow (log n) 2) (pow k 2)))) (pow n 0.25)) (* 0.25 (* (pow (pow n 1.0) 0.25) (* (log n) k)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- (log -1) (log (/ -1 n))) (- 1.0 k)))) (- (+ (* 0.03125 (* (pow (pow n 1.0) 0.25) (* (pow (log n) 2) (pow k 2)))) (pow n 0.25)) (* 0.25 (* (pow (pow n 1.0) 0.25) (* (log n) k)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- (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 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))))) 13.889 * * [simplify]: iteration 0: 340 enodes 14.043 * * [simplify]: iteration 1: 1031 enodes 14.737 * * [simplify]: iteration 2: 4198 enodes 15.572 * * [simplify]: iteration complete: 5000 enodes 15.572 * * [simplify]: Extracting #0: cost 145 inf + 0 15.575 * * [simplify]: Extracting #1: cost 742 inf + 6 15.579 * * [simplify]: Extracting #2: cost 1681 inf + 456 15.585 * * [simplify]: Extracting #3: cost 1551 inf + 3070 15.597 * * [simplify]: Extracting #4: cost 580 inf + 11833 15.606 * * [simplify]: Extracting #5: cost 121 inf + 17750 15.619 * * [simplify]: Extracting #6: cost 6 inf + 19299 15.632 * * [simplify]: Extracting #7: cost 0 inf + 19353 15.647 * [simplify]: Simplified to: (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (* (log n) (- 1.0 k)) (* 2 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(pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (* (/ (- 1.0 k) 2.0) (log n)) 2) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (- 1.0 k) (* 4 2.0))) (pow n (/ (- 1.0 k) (* 4 2.0))) (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) (/ (- 1.0 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 2.0) (cbrt 2.0)) (cbrt (- 1.0 k))))) (pow PI (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (/ (* (log PI) (- 1.0 k)) 2.0) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) (sqrt k)) k) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (- (* (pow (pow n 1.0) 0.25) (* k (log n)))) 0.25 (fma (* (* (pow (pow n 1.0) 0.25) 0.03125) (pow k 2)) (pow (log n) 2) (pow n 0.25))) (pow (/ 1 n) (* (- 1.0 k) -0.25)) (pow (exp 0.25) (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (fma (- (* (pow (pow n 1.0) 0.25) (* k (log n)))) 0.25 (fma (* (* (pow (pow n 1.0) 0.25) 0.03125) (pow k 2)) (pow (log n) 2) (pow n 0.25))) (pow (/ 1 n) (* (- 1.0 k) -0.25)) (pow (exp 0.25) (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (fma (pow (pow PI 1.0) 0.5) (- (* (* 0.125 (pow k 2)) (pow (log PI) 2)) (* (* k (log PI)) 0.5)) (pow PI 0.5)) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (fma (- (pow k 2)) +nan.0 (- +nan.0 (* k +nan.0))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3)))) (+ (/ (- +nan.0) (pow k 2)) (- (/ +nan.0 k) +nan.0)) 15.650 * * * [progress]: adding candidates to table 17.744 * [progress]: [Phase 3 of 3] Extracting. 17.744 * * [regime]: Finding splitpoints for: (# # # # # # # #) 17.746 * * * [regime-changes]: Trying 2 branch expressions: (n k) 17.746 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 17.876 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 17.990 * * * [regime]: Found split indices: #