51.504 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.169 * * * [progress]: [2/2] Setting up program. 0.178 * [progress]: [Phase 2 of 3] Improving. 0.178 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.178 * * [simplify]: iteration 0: 13 enodes 0.183 * * [simplify]: iteration 1: 29 enodes 0.193 * * [simplify]: iteration 2: 59 enodes 0.212 * * [simplify]: iteration 3: 120 enodes 0.247 * * [simplify]: iteration 4: 328 enodes 0.483 * * [simplify]: iteration 5: 1541 enodes 1.034 * * [simplify]: iteration complete: 5000 enodes 1.035 * * [simplify]: Extracting #0: cost 1 inf + 0 1.035 * * [simplify]: Extracting #1: cost 169 inf + 0 1.041 * * [simplify]: Extracting #2: cost 1666 inf + 1 1.051 * * [simplify]: Extracting #3: cost 2154 inf + 10 1.064 * * [simplify]: Extracting #4: cost 2277 inf + 223 1.078 * * [simplify]: Extracting #5: cost 1696 inf + 10202 1.092 * * [simplify]: Extracting #6: cost 193 inf + 48707 1.105 * * [simplify]: Extracting #7: cost 0 inf + 55076 1.122 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 1.133 * * [progress]: iteration 1 / 4 1.133 * * * [progress]: picking best candidate 1.141 * * * * [pick]: Picked # 1.142 * * * [progress]: localizing error 1.180 * * * [progress]: generating rewritten candidates 1.180 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.210 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.264 * * * [progress]: generating series expansions 1.264 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.264 * [backup-simplify]: Simplify (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 1.264 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.264 * [taylor]: Taking taylor expansion of 0.5 in k 1.264 * [backup-simplify]: Simplify 0.5 into 0.5 1.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.264 * [taylor]: Taking taylor expansion of 1.0 in k 1.264 * [backup-simplify]: Simplify 1.0 into 1.0 1.264 * [taylor]: Taking taylor expansion of k in k 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify 1 into 1 1.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.264 * [taylor]: Taking taylor expansion of 2.0 in k 1.264 * [backup-simplify]: Simplify 2.0 into 2.0 1.264 * [taylor]: Taking taylor expansion of (* n PI) in k 1.264 * [taylor]: Taking taylor expansion of n in k 1.264 * [backup-simplify]: Simplify n into n 1.264 * [taylor]: Taking taylor expansion of PI in k 1.264 * [backup-simplify]: Simplify PI into PI 1.264 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.264 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.265 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.265 * [backup-simplify]: Simplify (- 0) into 0 1.265 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.266 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.266 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.266 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.266 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.266 * [taylor]: Taking taylor expansion of 0.5 in n 1.266 * [backup-simplify]: Simplify 0.5 into 0.5 1.266 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.266 * [taylor]: Taking taylor expansion of 1.0 in n 1.266 * [backup-simplify]: Simplify 1.0 into 1.0 1.266 * [taylor]: Taking taylor expansion of k in n 1.266 * [backup-simplify]: Simplify k into k 1.266 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.266 * [taylor]: Taking taylor expansion of 2.0 in n 1.266 * [backup-simplify]: Simplify 2.0 into 2.0 1.266 * [taylor]: Taking taylor expansion of (* n PI) in n 1.266 * [taylor]: Taking taylor expansion of n in n 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [taylor]: Taking taylor expansion of PI in n 1.266 * [backup-simplify]: Simplify PI into PI 1.267 * [backup-simplify]: Simplify (* 0 PI) into 0 1.267 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.268 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.270 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.271 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.271 * [backup-simplify]: Simplify (- k) into (- k) 1.271 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.271 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.274 * [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)))) 1.275 * [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))))) 1.275 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.275 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.275 * [taylor]: Taking taylor expansion of 0.5 in n 1.275 * [backup-simplify]: Simplify 0.5 into 0.5 1.275 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.275 * [taylor]: Taking taylor expansion of 1.0 in n 1.275 * [backup-simplify]: Simplify 1.0 into 1.0 1.275 * [taylor]: Taking taylor expansion of k in n 1.275 * [backup-simplify]: Simplify k into k 1.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.275 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.275 * [taylor]: Taking taylor expansion of 2.0 in n 1.275 * [backup-simplify]: Simplify 2.0 into 2.0 1.275 * [taylor]: Taking taylor expansion of (* n PI) in n 1.275 * [taylor]: Taking taylor expansion of n in n 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [taylor]: Taking taylor expansion of PI in n 1.275 * [backup-simplify]: Simplify PI into PI 1.276 * [backup-simplify]: Simplify (* 0 PI) into 0 1.276 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.279 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.280 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.280 * [backup-simplify]: Simplify (- k) into (- k) 1.281 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.281 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.283 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 1.284 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 1.285 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.285 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.285 * [taylor]: Taking taylor expansion of 0.5 in k 1.285 * [backup-simplify]: Simplify 0.5 into 0.5 1.285 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.285 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.285 * [taylor]: Taking taylor expansion of 1.0 in k 1.285 * [backup-simplify]: Simplify 1.0 into 1.0 1.285 * [taylor]: Taking taylor expansion of k in k 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.285 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.285 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.285 * [taylor]: Taking taylor expansion of 2.0 in k 1.285 * [backup-simplify]: Simplify 2.0 into 2.0 1.285 * [taylor]: Taking taylor expansion of PI in k 1.285 * [backup-simplify]: Simplify PI into PI 1.286 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.287 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.287 * [taylor]: Taking taylor expansion of (log n) in k 1.287 * [taylor]: Taking taylor expansion of n in k 1.287 * [backup-simplify]: Simplify n into n 1.287 * [backup-simplify]: Simplify (log n) into (log n) 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.288 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.289 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 1.290 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 1.291 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 1.292 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.294 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 1.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.296 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.300 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.302 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 1.304 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.304 * [taylor]: Taking taylor expansion of 0 in k 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.307 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (- 1) into -1 1.309 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 1.313 * [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)))) 1.321 * [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)))))) 1.324 * [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)))))) 1.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.331 * [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 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.332 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.336 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.338 * [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 1.338 * [taylor]: Taking taylor expansion of 0 in k 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.343 * [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 1.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (- 0) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 1.348 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 1.350 * [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)))))) 1.353 * [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)))))) 1.360 * [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))))) 1.360 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 n) 2.0)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 1.360 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.360 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.360 * [taylor]: Taking taylor expansion of 0.5 in k 1.360 * [backup-simplify]: Simplify 0.5 into 0.5 1.360 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.360 * [taylor]: Taking taylor expansion of 1.0 in k 1.360 * [backup-simplify]: Simplify 1.0 into 1.0 1.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.360 * [taylor]: Taking taylor expansion of k in k 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.360 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.360 * [taylor]: Taking taylor expansion of 2.0 in k 1.361 * [backup-simplify]: Simplify 2.0 into 2.0 1.361 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.361 * [taylor]: Taking taylor expansion of PI in k 1.361 * [backup-simplify]: Simplify PI into PI 1.361 * [taylor]: Taking taylor expansion of n in k 1.361 * [backup-simplify]: Simplify n into n 1.361 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.361 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.361 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.361 * [backup-simplify]: Simplify (- 1) into -1 1.361 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.362 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.362 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.362 * [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)))))) 1.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.362 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.362 * [taylor]: Taking taylor expansion of 0.5 in n 1.362 * [backup-simplify]: Simplify 0.5 into 0.5 1.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.362 * [taylor]: Taking taylor expansion of 1.0 in n 1.362 * [backup-simplify]: Simplify 1.0 into 1.0 1.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.362 * [taylor]: Taking taylor expansion of k in n 1.362 * [backup-simplify]: Simplify k into k 1.362 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.362 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.362 * [taylor]: Taking taylor expansion of 2.0 in n 1.362 * [backup-simplify]: Simplify 2.0 into 2.0 1.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.362 * [taylor]: Taking taylor expansion of PI in n 1.362 * [backup-simplify]: Simplify PI into PI 1.362 * [taylor]: Taking taylor expansion of n in n 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (/ PI 1) into PI 1.363 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.363 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.363 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.364 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.364 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.365 * [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)))) 1.366 * [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))))) 1.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.366 * [taylor]: Taking taylor expansion of 0.5 in n 1.366 * [backup-simplify]: Simplify 0.5 into 0.5 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.366 * [taylor]: Taking taylor expansion of 1.0 in n 1.366 * [backup-simplify]: Simplify 1.0 into 1.0 1.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.366 * [taylor]: Taking taylor expansion of k in n 1.366 * [backup-simplify]: Simplify k into k 1.366 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.366 * [taylor]: Taking taylor expansion of 2.0 in n 1.366 * [backup-simplify]: Simplify 2.0 into 2.0 1.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.366 * [taylor]: Taking taylor expansion of PI in n 1.366 * [backup-simplify]: Simplify PI into PI 1.366 * [taylor]: Taking taylor expansion of n in n 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (/ PI 1) into PI 1.367 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.368 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.368 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.368 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.368 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.370 * [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)))) 1.371 * [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))))) 1.371 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 1.371 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 1.371 * [taylor]: Taking taylor expansion of 0.5 in k 1.371 * [backup-simplify]: Simplify 0.5 into 0.5 1.371 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 1.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.371 * [taylor]: Taking taylor expansion of 1.0 in k 1.371 * [backup-simplify]: Simplify 1.0 into 1.0 1.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.371 * [taylor]: Taking taylor expansion of k in k 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.371 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.371 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.372 * [taylor]: Taking taylor expansion of 2.0 in k 1.372 * [backup-simplify]: Simplify 2.0 into 2.0 1.372 * [taylor]: Taking taylor expansion of PI in k 1.372 * [backup-simplify]: Simplify PI into PI 1.372 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.373 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.373 * [taylor]: Taking taylor expansion of (log n) in k 1.373 * [taylor]: Taking taylor expansion of n in k 1.373 * [backup-simplify]: Simplify n into n 1.373 * [backup-simplify]: Simplify (log n) into (log n) 1.374 * [backup-simplify]: Simplify (- 1) into -1 1.374 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.374 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.375 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 1.376 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 1.377 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 1.379 * [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))))) 1.380 * [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))))) 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.383 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.387 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.389 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (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 1.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.392 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.395 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 1.396 * [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 1.396 * [taylor]: Taking taylor expansion of 0 in k 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.401 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.405 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 1.406 * [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 1.406 * [taylor]: Taking taylor expansion of 0 in k 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [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)))))) 1.408 * [backup-simplify]: Simplify (pow (* PI (* (/ 1 (- n)) 2.0)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 1.408 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.408 * [taylor]: Taking taylor expansion of 0.5 in k 1.408 * [backup-simplify]: Simplify 0.5 into 0.5 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [backup-simplify]: Simplify 1.0 into 1.0 1.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.409 * [taylor]: Taking taylor expansion of -2.0 in k 1.409 * [backup-simplify]: Simplify -2.0 into -2.0 1.409 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.409 * [taylor]: Taking taylor expansion of PI in k 1.409 * [backup-simplify]: Simplify PI into PI 1.409 * [taylor]: Taking taylor expansion of n in k 1.409 * [backup-simplify]: Simplify n into n 1.409 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.409 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.409 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.409 * [backup-simplify]: Simplify (+ 1 0) into 1 1.410 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.410 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.410 * [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)))) 1.410 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.410 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.410 * [taylor]: Taking taylor expansion of 0.5 in n 1.410 * [backup-simplify]: Simplify 0.5 into 0.5 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.410 * [taylor]: Taking taylor expansion of k in n 1.410 * [backup-simplify]: Simplify k into k 1.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.411 * [taylor]: Taking taylor expansion of 1.0 in n 1.411 * [backup-simplify]: Simplify 1.0 into 1.0 1.411 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.411 * [taylor]: Taking taylor expansion of -2.0 in n 1.411 * [backup-simplify]: Simplify -2.0 into -2.0 1.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [backup-simplify]: Simplify PI into PI 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (/ PI 1) into PI 1.412 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.413 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.413 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.413 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.416 * [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))) 1.417 * [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)))) 1.417 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.417 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.417 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.417 * [taylor]: Taking taylor expansion of 0.5 in n 1.417 * [backup-simplify]: Simplify 0.5 into 0.5 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.417 * [taylor]: Taking taylor expansion of k in n 1.418 * [backup-simplify]: Simplify k into k 1.418 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.418 * [taylor]: Taking taylor expansion of 1.0 in n 1.418 * [backup-simplify]: Simplify 1.0 into 1.0 1.418 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.418 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.418 * [taylor]: Taking taylor expansion of -2.0 in n 1.418 * [backup-simplify]: Simplify -2.0 into -2.0 1.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.418 * [taylor]: Taking taylor expansion of PI in n 1.418 * [backup-simplify]: Simplify PI into PI 1.418 * [taylor]: Taking taylor expansion of n in n 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ PI 1) into PI 1.419 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.420 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.420 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.420 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.423 * [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))) 1.424 * [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)))) 1.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 1.424 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 1.424 * [taylor]: Taking taylor expansion of 0.5 in k 1.424 * [backup-simplify]: Simplify 0.5 into 0.5 1.424 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 1.424 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.424 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.424 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.424 * [taylor]: Taking taylor expansion of -2.0 in k 1.424 * [backup-simplify]: Simplify -2.0 into -2.0 1.424 * [taylor]: Taking taylor expansion of PI in k 1.425 * [backup-simplify]: Simplify PI into PI 1.425 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.426 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.426 * [taylor]: Taking taylor expansion of (log n) in k 1.426 * [taylor]: Taking taylor expansion of n in k 1.426 * [backup-simplify]: Simplify n into n 1.426 * [backup-simplify]: Simplify (log n) into (log n) 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.426 * [taylor]: Taking taylor expansion of k in k 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (/ 1 1) into 1 1.427 * [taylor]: Taking taylor expansion of 1.0 in k 1.427 * [backup-simplify]: Simplify 1.0 into 1.0 1.427 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.428 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.430 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 1.431 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 1.431 * [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)))) 1.432 * [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)))) 1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.440 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.442 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 1.443 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in k 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.446 * [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 1.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.449 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 1.450 * [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 1.450 * [taylor]: Taking taylor expansion of 0 in k 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.455 * [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 1.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.455 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.458 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 1.460 * [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 1.460 * [taylor]: Taking taylor expansion of 0 in k 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 0 into 0 1.461 * [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)))))) 1.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.461 * [backup-simplify]: Simplify (* PI (* n 2.0)) into (* 2.0 (* n PI)) 1.461 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.461 * [taylor]: Taking taylor expansion of 2.0 in n 1.461 * [backup-simplify]: Simplify 2.0 into 2.0 1.461 * [taylor]: Taking taylor expansion of (* n PI) in n 1.461 * [taylor]: Taking taylor expansion of n in n 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [taylor]: Taking taylor expansion of PI in n 1.461 * [backup-simplify]: Simplify PI into PI 1.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.461 * [taylor]: Taking taylor expansion of 2.0 in n 1.461 * [backup-simplify]: Simplify 2.0 into 2.0 1.461 * [taylor]: Taking taylor expansion of (* n PI) in n 1.461 * [taylor]: Taking taylor expansion of n in n 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 1 into 1 1.461 * [taylor]: Taking taylor expansion of PI in n 1.461 * [backup-simplify]: Simplify PI into PI 1.461 * [backup-simplify]: Simplify (* 0 PI) into 0 1.462 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.464 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.464 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 1.465 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.468 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.470 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1.472 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 1.474 * [backup-simplify]: Simplify (* PI (* (/ 1 n) 2.0)) into (* 2.0 (/ PI n)) 1.474 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.474 * [taylor]: Taking taylor expansion of 2.0 in n 1.474 * [backup-simplify]: Simplify 2.0 into 2.0 1.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.475 * [taylor]: Taking taylor expansion of PI in n 1.475 * [backup-simplify]: Simplify PI into PI 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ PI 1) into PI 1.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.475 * [taylor]: Taking taylor expansion of 2.0 in n 1.475 * [backup-simplify]: Simplify 2.0 into 2.0 1.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.475 * [taylor]: Taking taylor expansion of PI in n 1.475 * [backup-simplify]: Simplify PI into PI 1.475 * [taylor]: Taking taylor expansion of n in n 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ PI 1) into PI 1.476 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.476 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [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 1.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.484 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 1.485 * [backup-simplify]: Simplify (* PI (* (/ 1 (- n)) 2.0)) into (* -2.0 (/ PI n)) 1.485 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.485 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.485 * [taylor]: Taking taylor expansion of -2.0 in n 1.485 * [backup-simplify]: Simplify -2.0 into -2.0 1.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.485 * [taylor]: Taking taylor expansion of PI in n 1.485 * [backup-simplify]: Simplify PI into PI 1.485 * [taylor]: Taking taylor expansion of n in n 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.485 * [backup-simplify]: Simplify (/ PI 1) into PI 1.485 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.485 * [taylor]: Taking taylor expansion of -2.0 in n 1.485 * [backup-simplify]: Simplify -2.0 into -2.0 1.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.485 * [taylor]: Taking taylor expansion of PI in n 1.485 * [backup-simplify]: Simplify PI into PI 1.485 * [taylor]: Taking taylor expansion of n in n 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ PI 1) into PI 1.486 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.486 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.487 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.490 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.490 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [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 1.495 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 1.495 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.495 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.495 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.496 * [backup-simplify]: Simplify 1.0 into 1.0 1.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.496 * [taylor]: Taking taylor expansion of k in k 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (/ 1 1) into 1 1.496 * [backup-simplify]: Simplify (sqrt 0) into 0 1.497 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.497 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.497 * [taylor]: Taking taylor expansion of 1.0 in k 1.497 * [backup-simplify]: Simplify 1.0 into 1.0 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.497 * [taylor]: Taking taylor expansion of k in k 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.498 * [backup-simplify]: Simplify (sqrt 0) into 0 1.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.499 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.500 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.503 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.504 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.508 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.509 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.510 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1.510 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.510 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.510 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [backup-simplify]: Simplify 1.0 into 1.0 1.510 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.510 * [taylor]: Taking taylor expansion of k in k 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 1 into 1 1.510 * [backup-simplify]: Simplify (sqrt 0) into 0 1.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.511 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.511 * [taylor]: Taking taylor expansion of 1.0 in k 1.511 * [backup-simplify]: Simplify 1.0 into 1.0 1.511 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.511 * [taylor]: Taking taylor expansion of k in k 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (sqrt 0) into 0 1.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.514 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.516 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.519 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.521 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.521 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.527 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.528 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.529 * [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)))))))) 1.530 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.530 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.530 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.530 * [taylor]: Taking taylor expansion of 1.0 in k 1.530 * [backup-simplify]: Simplify 1.0 into 1.0 1.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.530 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.530 * [taylor]: Taking taylor expansion of -1 in k 1.530 * [backup-simplify]: Simplify -1 into -1 1.530 * [taylor]: Taking taylor expansion of k in k 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (/ -1 1) into -1 1.531 * [backup-simplify]: Simplify (sqrt 0) into 0 1.532 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.532 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.532 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.533 * [taylor]: Taking taylor expansion of 1.0 in k 1.533 * [backup-simplify]: Simplify 1.0 into 1.0 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.533 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.533 * [taylor]: Taking taylor expansion of -1 in k 1.533 * [backup-simplify]: Simplify -1 into -1 1.533 * [taylor]: Taking taylor expansion of k in k 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (/ -1 1) into -1 1.534 * [backup-simplify]: Simplify (sqrt 0) into 0 1.541 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.542 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.546 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.546 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.551 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.552 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.552 * [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))))) 1.552 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.552 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 1.553 * [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 1.553 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 1.553 * [taylor]: Taking taylor expansion of 1.0 in n 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.553 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.553 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.553 * [taylor]: Taking taylor expansion of 0.5 in n 1.553 * [backup-simplify]: Simplify 0.5 into 0.5 1.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.553 * [taylor]: Taking taylor expansion of 1.0 in n 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [taylor]: Taking taylor expansion of k in n 1.553 * [backup-simplify]: Simplify k into k 1.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.553 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.553 * [taylor]: Taking taylor expansion of 2.0 in n 1.553 * [backup-simplify]: Simplify 2.0 into 2.0 1.553 * [taylor]: Taking taylor expansion of (* n PI) in n 1.553 * [taylor]: Taking taylor expansion of n in n 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of PI in n 1.553 * [backup-simplify]: Simplify PI into PI 1.553 * [backup-simplify]: Simplify (* 0 PI) into 0 1.553 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.555 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.556 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.556 * [backup-simplify]: Simplify (- k) into (- k) 1.556 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.556 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.557 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.558 * [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)))) 1.558 * [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))))) 1.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.558 * [taylor]: Taking taylor expansion of k in n 1.558 * [backup-simplify]: Simplify k into k 1.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.559 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 1.559 * [taylor]: Taking taylor expansion of 1.0 in k 1.559 * [backup-simplify]: Simplify 1.0 into 1.0 1.559 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.559 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.559 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.559 * [taylor]: Taking taylor expansion of 0.5 in k 1.559 * [backup-simplify]: Simplify 0.5 into 0.5 1.559 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.559 * [taylor]: Taking taylor expansion of 1.0 in k 1.559 * [backup-simplify]: Simplify 1.0 into 1.0 1.559 * [taylor]: Taking taylor expansion of k in k 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 1 into 1 1.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.559 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.559 * [taylor]: Taking taylor expansion of 2.0 in k 1.559 * [backup-simplify]: Simplify 2.0 into 2.0 1.559 * [taylor]: Taking taylor expansion of (* n PI) in k 1.559 * [taylor]: Taking taylor expansion of n in k 1.559 * [backup-simplify]: Simplify n into n 1.559 * [taylor]: Taking taylor expansion of PI in k 1.559 * [backup-simplify]: Simplify PI into PI 1.559 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.559 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.559 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.560 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.560 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.560 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.560 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.560 * [taylor]: Taking taylor expansion of k in k 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [backup-simplify]: Simplify (sqrt 0) into 0 1.562 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 1.562 * [taylor]: Taking taylor expansion of 1.0 in k 1.562 * [backup-simplify]: Simplify 1.0 into 1.0 1.562 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.562 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.562 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.562 * [taylor]: Taking taylor expansion of 0.5 in k 1.562 * [backup-simplify]: Simplify 0.5 into 0.5 1.562 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.562 * [taylor]: Taking taylor expansion of 1.0 in k 1.562 * [backup-simplify]: Simplify 1.0 into 1.0 1.562 * [taylor]: Taking taylor expansion of k in k 1.562 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify 1 into 1 1.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.562 * [taylor]: Taking taylor expansion of 2.0 in k 1.562 * [backup-simplify]: Simplify 2.0 into 2.0 1.562 * [taylor]: Taking taylor expansion of (* n PI) in k 1.562 * [taylor]: Taking taylor expansion of n in k 1.562 * [backup-simplify]: Simplify n into n 1.562 * [taylor]: Taking taylor expansion of PI in k 1.562 * [backup-simplify]: Simplify PI into PI 1.562 * [backup-simplify]: Simplify (* n PI) into (* n PI) 1.562 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 1.562 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.563 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.563 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.563 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 1.563 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 1.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.563 * [taylor]: Taking taylor expansion of k in k 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [backup-simplify]: Simplify (sqrt 0) into 0 1.564 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.565 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 1.565 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.565 * [taylor]: Taking taylor expansion of 0 in n 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 1.566 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 1.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 1.566 * [backup-simplify]: Simplify (- 1) into -1 1.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.568 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 1.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 1.568 * [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))))) 1.569 * [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))) 1.571 * [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))) 1.571 * [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 1.571 * [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 1.571 * [taylor]: Taking taylor expansion of +nan.0 in n 1.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.571 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.571 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.571 * [taylor]: Taking taylor expansion of 0.5 in n 1.571 * [backup-simplify]: Simplify 0.5 into 0.5 1.571 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.571 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.571 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.571 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.571 * [taylor]: Taking taylor expansion of 1.0 in n 1.571 * [backup-simplify]: Simplify 1.0 into 1.0 1.571 * [taylor]: Taking taylor expansion of (log PI) in n 1.571 * [taylor]: Taking taylor expansion of PI in n 1.571 * [backup-simplify]: Simplify PI into PI 1.571 * [backup-simplify]: Simplify (log PI) into (log PI) 1.572 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.573 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.573 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.573 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.573 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.573 * [taylor]: Taking taylor expansion of 1.0 in n 1.573 * [backup-simplify]: Simplify 1.0 into 1.0 1.573 * [taylor]: Taking taylor expansion of (log n) in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (log 1) into 0 1.573 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.573 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.574 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [backup-simplify]: Simplify 1.0 into 1.0 1.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.574 * [taylor]: Taking taylor expansion of 2.0 in n 1.574 * [backup-simplify]: Simplify 2.0 into 2.0 1.574 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.574 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.575 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.576 * [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) 1.576 * [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) 1.577 * [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)) 1.578 * [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))) 1.579 * [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) 1.580 * [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)) 1.581 * [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))) 1.581 * [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))) 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.584 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1.586 * [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 1.586 * [backup-simplify]: Simplify (- 0) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 1.589 * [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))) 1.591 * [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))))) 1.594 * [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))))) 1.594 * [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 1.594 * [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 1.594 * [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 1.594 * [taylor]: Taking taylor expansion of +nan.0 in n 1.594 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.594 * [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 1.594 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.594 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.594 * [taylor]: Taking taylor expansion of 0.5 in n 1.594 * [backup-simplify]: Simplify 0.5 into 0.5 1.594 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.594 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.594 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.594 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.594 * [taylor]: Taking taylor expansion of 1.0 in n 1.594 * [backup-simplify]: Simplify 1.0 into 1.0 1.594 * [taylor]: Taking taylor expansion of (log PI) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [backup-simplify]: Simplify PI into PI 1.594 * [backup-simplify]: Simplify (log PI) into (log PI) 1.595 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.596 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.596 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.596 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.596 * [taylor]: Taking taylor expansion of 1.0 in n 1.596 * [backup-simplify]: Simplify 1.0 into 1.0 1.596 * [taylor]: Taking taylor expansion of (log n) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (log 1) into 0 1.597 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.597 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.597 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.597 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.597 * [taylor]: Taking taylor expansion of 1.0 in n 1.597 * [backup-simplify]: Simplify 1.0 into 1.0 1.597 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.597 * [taylor]: Taking taylor expansion of 2.0 in n 1.597 * [backup-simplify]: Simplify 2.0 into 2.0 1.597 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.598 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.599 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.599 * [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) 1.600 * [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) 1.601 * [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)) 1.602 * [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))) 1.602 * [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) 1.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.602 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.602 * [taylor]: Taking taylor expansion of 2.0 in n 1.603 * [backup-simplify]: Simplify 2.0 into 2.0 1.603 * [taylor]: Taking taylor expansion of (* n PI) in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [taylor]: Taking taylor expansion of PI in n 1.603 * [backup-simplify]: Simplify PI into PI 1.603 * [backup-simplify]: Simplify (* 0 PI) into 0 1.603 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.604 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.605 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.606 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.606 * [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 1.606 * [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 1.606 * [taylor]: Taking taylor expansion of +nan.0 in n 1.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.606 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.606 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.606 * [taylor]: Taking taylor expansion of 0.5 in n 1.606 * [backup-simplify]: Simplify 0.5 into 0.5 1.606 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.606 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.606 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.606 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.606 * [taylor]: Taking taylor expansion of 1.0 in n 1.606 * [backup-simplify]: Simplify 1.0 into 1.0 1.606 * [taylor]: Taking taylor expansion of (log PI) in n 1.606 * [taylor]: Taking taylor expansion of PI in n 1.606 * [backup-simplify]: Simplify PI into PI 1.606 * [backup-simplify]: Simplify (log PI) into (log PI) 1.607 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.608 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.608 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.608 * [taylor]: Taking taylor expansion of 1.0 in n 1.608 * [backup-simplify]: Simplify 1.0 into 1.0 1.608 * [taylor]: Taking taylor expansion of (log n) in n 1.608 * [taylor]: Taking taylor expansion of n in n 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (log 1) into 0 1.609 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.609 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.609 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.609 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.609 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.609 * [taylor]: Taking taylor expansion of 1.0 in n 1.609 * [backup-simplify]: Simplify 1.0 into 1.0 1.609 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.609 * [taylor]: Taking taylor expansion of 2.0 in n 1.609 * [backup-simplify]: Simplify 2.0 into 2.0 1.609 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.610 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.610 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.611 * [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) 1.612 * [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) 1.612 * [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)) 1.613 * [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))) 1.614 * [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) 1.615 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.616 * [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))) 1.618 * [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)))) 1.619 * [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)) 1.620 * [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))) 1.622 * [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))))))) 1.626 * [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))))))))) 1.629 * [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))))))) 1.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 1.636 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 1.637 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.637 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.637 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 1.638 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 1.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1.640 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 1.641 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1.641 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 1.643 * [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 1.644 * [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 1.645 * [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 1.646 * [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 1.646 * [backup-simplify]: Simplify (- 0) into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.650 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1.653 * [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 1.653 * [backup-simplify]: Simplify (- 0) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 1.655 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 1.657 * [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))) 1.663 * [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)))))))) 1.673 * [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)))))))) 1.674 * [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 1.674 * [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 1.674 * [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 1.674 * [taylor]: Taking taylor expansion of +nan.0 in n 1.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.674 * [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 1.674 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.674 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.674 * [taylor]: Taking taylor expansion of 0.5 in n 1.674 * [backup-simplify]: Simplify 0.5 into 0.5 1.674 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.674 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.674 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) 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 PI) in n 1.674 * [taylor]: Taking taylor expansion of PI in n 1.674 * [backup-simplify]: Simplify PI into PI 1.675 * [backup-simplify]: Simplify (log PI) into (log PI) 1.676 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.677 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.677 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.677 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.677 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.677 * [taylor]: Taking taylor expansion of 1.0 in n 1.678 * [backup-simplify]: Simplify 1.0 into 1.0 1.678 * [taylor]: Taking taylor expansion of (log n) in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (log 1) into 0 1.678 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.679 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.679 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.679 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.679 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.679 * [taylor]: Taking taylor expansion of 1.0 in n 1.679 * [backup-simplify]: Simplify 1.0 into 1.0 1.679 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.679 * [backup-simplify]: Simplify 2.0 into 2.0 1.679 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.680 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.682 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.682 * [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) 1.683 * [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) 1.684 * [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)) 1.685 * [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))) 1.686 * [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) 1.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.686 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.686 * [taylor]: Taking taylor expansion of 2.0 in n 1.686 * [backup-simplify]: Simplify 2.0 into 2.0 1.686 * [taylor]: Taking taylor expansion of (* n PI) in n 1.686 * [taylor]: Taking taylor expansion of n in n 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [taylor]: Taking taylor expansion of PI in n 1.686 * [backup-simplify]: Simplify PI into PI 1.686 * [backup-simplify]: Simplify (* 0 PI) into 0 1.687 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.688 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.689 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.689 * [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 1.689 * [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 1.689 * [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 1.689 * [taylor]: Taking taylor expansion of +nan.0 in n 1.689 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.689 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.689 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.689 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.689 * [taylor]: Taking taylor expansion of 0.5 in n 1.689 * [backup-simplify]: Simplify 0.5 into 0.5 1.689 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.689 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.689 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.689 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.689 * [taylor]: Taking taylor expansion of 1.0 in n 1.689 * [backup-simplify]: Simplify 1.0 into 1.0 1.689 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.689 * [taylor]: Taking taylor expansion of 2.0 in n 1.689 * [backup-simplify]: Simplify 2.0 into 2.0 1.690 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.690 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.691 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.691 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.691 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.691 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.691 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.691 * [taylor]: Taking taylor expansion of 1.0 in n 1.691 * [backup-simplify]: Simplify 1.0 into 1.0 1.691 * [taylor]: Taking taylor expansion of (log n) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (log 1) into 0 1.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.692 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.692 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.692 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.692 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.692 * [taylor]: Taking taylor expansion of 1.0 in n 1.692 * [backup-simplify]: Simplify 1.0 into 1.0 1.692 * [taylor]: Taking taylor expansion of (log PI) in n 1.692 * [taylor]: Taking taylor expansion of PI in n 1.692 * [backup-simplify]: Simplify PI into PI 1.692 * [backup-simplify]: Simplify (log PI) into (log PI) 1.693 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.694 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.694 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.695 * [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) 1.696 * [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)) 1.697 * [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))) 1.698 * [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) 1.698 * [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 1.698 * [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 1.698 * [taylor]: Taking taylor expansion of +nan.0 in n 1.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.698 * [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 1.698 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.698 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.698 * [taylor]: Taking taylor expansion of 0.5 in n 1.698 * [backup-simplify]: Simplify 0.5 into 0.5 1.698 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.698 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.698 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.698 * [taylor]: Taking taylor expansion of 1.0 in n 1.698 * [backup-simplify]: Simplify 1.0 into 1.0 1.698 * [taylor]: Taking taylor expansion of (log PI) in n 1.698 * [taylor]: Taking taylor expansion of PI in n 1.698 * [backup-simplify]: Simplify PI into PI 1.698 * [backup-simplify]: Simplify (log PI) into (log PI) 1.699 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 1.700 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 1.700 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.700 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [backup-simplify]: Simplify 1.0 into 1.0 1.700 * [taylor]: Taking taylor expansion of (log n) in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (log 1) into 0 1.701 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.701 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.701 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 1.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.701 * [taylor]: Taking taylor expansion of 1.0 in n 1.701 * [backup-simplify]: Simplify 1.0 into 1.0 1.701 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.701 * [taylor]: Taking taylor expansion of 2.0 in n 1.701 * [backup-simplify]: Simplify 2.0 into 2.0 1.701 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 1.702 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 1.703 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 1.703 * [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) 1.704 * [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) 1.705 * [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)) 1.705 * [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))) 1.706 * [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) 1.706 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.706 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.706 * [taylor]: Taking taylor expansion of 2.0 in n 1.706 * [backup-simplify]: Simplify 2.0 into 2.0 1.706 * [taylor]: Taking taylor expansion of (* n PI) in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [backup-simplify]: Simplify PI into PI 1.707 * [backup-simplify]: Simplify (* 0 PI) into 0 1.707 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.709 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 1.709 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.710 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.711 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.713 * [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))) 1.714 * [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)))) 1.715 * [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)) 1.716 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.717 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 1.719 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 1.720 * [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)) 1.722 * [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))) 1.724 * [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)))))))) 1.729 * [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))))))))) 1.740 * [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)))))))))) 1.748 * [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))))))))))))) 1.765 * [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))))))))))))) 1.781 * [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))))))))))))))) 1.809 * [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))))))))))))))))))))))) 1.810 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* PI (* (/ 1 n) 2.0)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 1.810 * [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 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 1.810 * [taylor]: Taking taylor expansion of 1.0 in n 1.810 * [backup-simplify]: Simplify 1.0 into 1.0 1.810 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 1.810 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.810 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.810 * [taylor]: Taking taylor expansion of 0.5 in n 1.810 * [backup-simplify]: Simplify 0.5 into 0.5 1.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.810 * [taylor]: Taking taylor expansion of 1.0 in n 1.810 * [backup-simplify]: Simplify 1.0 into 1.0 1.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.810 * [taylor]: Taking taylor expansion of k in n 1.810 * [backup-simplify]: Simplify k into k 1.810 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.810 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.810 * [taylor]: Taking taylor expansion of 2.0 in n 1.810 * [backup-simplify]: Simplify 2.0 into 2.0 1.811 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.811 * [taylor]: Taking taylor expansion of PI in n 1.811 * [backup-simplify]: Simplify PI into PI 1.811 * [taylor]: Taking taylor expansion of n in n 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (/ PI 1) into PI 1.812 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.813 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.813 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.813 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.813 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.816 * [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)))) 1.817 * [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))))) 1.817 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.817 * [taylor]: Taking taylor expansion of k in n 1.818 * [backup-simplify]: Simplify k into k 1.818 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 1.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 1.818 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 1.818 * [taylor]: Taking taylor expansion of 1.0 in k 1.818 * [backup-simplify]: Simplify 1.0 into 1.0 1.818 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 1.818 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.818 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.818 * [taylor]: Taking taylor expansion of 0.5 in k 1.818 * [backup-simplify]: Simplify 0.5 into 0.5 1.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.818 * [taylor]: Taking taylor expansion of 1.0 in k 1.818 * [backup-simplify]: Simplify 1.0 into 1.0 1.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.818 * [taylor]: Taking taylor expansion of k in k 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.819 * [taylor]: Taking taylor expansion of 2.0 in k 1.819 * [backup-simplify]: Simplify 2.0 into 2.0 1.819 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.819 * [taylor]: Taking taylor expansion of PI in k 1.819 * [backup-simplify]: Simplify PI into PI 1.819 * [taylor]: Taking taylor expansion of n in k 1.819 * [backup-simplify]: Simplify n into n 1.819 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.819 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.819 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.820 * [backup-simplify]: Simplify (- 1) into -1 1.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.820 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.821 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.821 * [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)))))) 1.821 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.821 * [taylor]: Taking taylor expansion of k in k 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (sqrt 0) into 0 1.823 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.823 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 1.823 * [taylor]: Taking taylor expansion of 1.0 in k 1.823 * [backup-simplify]: Simplify 1.0 into 1.0 1.823 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 1.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.823 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.823 * [taylor]: Taking taylor expansion of 0.5 in k 1.823 * [backup-simplify]: Simplify 0.5 into 0.5 1.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.823 * [taylor]: Taking taylor expansion of 1.0 in k 1.823 * [backup-simplify]: Simplify 1.0 into 1.0 1.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.823 * [taylor]: Taking taylor expansion of k in k 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ 1 1) into 1 1.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.824 * [taylor]: Taking taylor expansion of 2.0 in k 1.824 * [backup-simplify]: Simplify 2.0 into 2.0 1.824 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.824 * [taylor]: Taking taylor expansion of PI in k 1.824 * [backup-simplify]: Simplify PI into PI 1.824 * [taylor]: Taking taylor expansion of n in k 1.824 * [backup-simplify]: Simplify n into n 1.824 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.824 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 1.824 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 1.825 * [backup-simplify]: Simplify (- 1) into -1 1.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.826 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.826 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 1.826 * [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)))))) 1.826 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.826 * [taylor]: Taking taylor expansion of k in k 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (sqrt 0) into 0 1.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.828 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 1.829 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.829 * [taylor]: Taking taylor expansion of 0 in n 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [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)))))))) 1.830 * [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)))))))) 1.830 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 1.830 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 1.830 * [taylor]: Taking taylor expansion of +nan.0 in n 1.830 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.830 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 1.830 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 1.830 * [taylor]: Taking taylor expansion of 0.5 in n 1.830 * [backup-simplify]: Simplify 0.5 into 0.5 1.830 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 1.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) 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 (/ 1 k) in n 1.831 * [taylor]: Taking taylor expansion of k in n 1.831 * [backup-simplify]: Simplify k into k 1.831 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.831 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.831 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.831 * [taylor]: Taking taylor expansion of 2.0 in n 1.831 * [backup-simplify]: Simplify 2.0 into 2.0 1.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.831 * [taylor]: Taking taylor expansion of PI in n 1.831 * [backup-simplify]: Simplify PI into PI 1.831 * [taylor]: Taking taylor expansion of n in n 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (/ PI 1) into PI 1.832 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.833 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.833 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.833 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.835 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.836 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 1.837 * [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)))) 1.838 * [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))))) 1.840 * [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)))))) 1.841 * [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))))))) 1.842 * [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))))))) 1.842 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.846 * [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)))))))) 1.847 * [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)))))))) 1.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 1.848 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 1.848 * [taylor]: Taking taylor expansion of +nan.0 in n 1.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 1.848 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 1.848 * [taylor]: Taking taylor expansion of 0.5 in n 1.848 * [backup-simplify]: Simplify 0.5 into 0.5 1.848 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [backup-simplify]: Simplify 1.0 into 1.0 1.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.848 * [taylor]: Taking taylor expansion of k in n 1.848 * [backup-simplify]: Simplify k into k 1.848 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.848 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.848 * [taylor]: Taking taylor expansion of 2.0 in n 1.848 * [backup-simplify]: Simplify 2.0 into 2.0 1.848 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.848 * [taylor]: Taking taylor expansion of PI in n 1.848 * [backup-simplify]: Simplify PI into PI 1.848 * [taylor]: Taking taylor expansion of n in n 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (/ PI 1) into PI 1.849 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.850 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.850 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.851 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.853 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 1.855 * [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)))) 1.856 * [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))))) 1.857 * [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)))))) 1.859 * [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))))))) 1.860 * [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))))))) 1.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.867 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 1.870 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.878 * [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)))))))) 1.879 * [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)))))))) 1.879 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 1.879 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 1.880 * [taylor]: Taking taylor expansion of +nan.0 in n 1.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 1.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 1.880 * [taylor]: Taking taylor expansion of 0.5 in n 1.880 * [backup-simplify]: Simplify 0.5 into 0.5 1.880 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 1.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.880 * [taylor]: Taking taylor expansion of 1.0 in n 1.880 * [backup-simplify]: Simplify 1.0 into 1.0 1.880 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.880 * [taylor]: Taking taylor expansion of k in n 1.880 * [backup-simplify]: Simplify k into k 1.880 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.880 * [taylor]: Taking taylor expansion of 2.0 in n 1.880 * [backup-simplify]: Simplify 2.0 into 2.0 1.880 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.880 * [taylor]: Taking taylor expansion of PI in n 1.880 * [backup-simplify]: Simplify PI into PI 1.880 * [taylor]: Taking taylor expansion of n in n 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ PI 1) into PI 1.887 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.888 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.888 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.889 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 1.891 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 1.893 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 1.894 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 1.895 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 1.897 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 1.898 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 1.904 * [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)))))))) 1.904 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* PI (* (/ 1 (- n)) 2.0)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.904 * [taylor]: Taking taylor expansion of 1.0 in n 1.904 * [backup-simplify]: Simplify 1.0 into 1.0 1.904 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.904 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.904 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.904 * [taylor]: Taking taylor expansion of 0.5 in n 1.905 * [backup-simplify]: Simplify 0.5 into 0.5 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.905 * [taylor]: Taking taylor expansion of k in n 1.905 * [backup-simplify]: Simplify k into k 1.905 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.905 * [taylor]: Taking taylor expansion of 1.0 in n 1.905 * [backup-simplify]: Simplify 1.0 into 1.0 1.905 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.905 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.905 * [taylor]: Taking taylor expansion of -2.0 in n 1.905 * [backup-simplify]: Simplify -2.0 into -2.0 1.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.905 * [taylor]: Taking taylor expansion of PI in n 1.905 * [backup-simplify]: Simplify PI into PI 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (/ PI 1) into PI 1.906 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.907 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.908 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.908 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.910 * [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))) 1.911 * [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)))) 1.912 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.912 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.912 * [taylor]: Taking taylor expansion of -1 in n 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [taylor]: Taking taylor expansion of k in n 1.912 * [backup-simplify]: Simplify k into k 1.912 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 1.912 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1.912 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1.913 * [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))) 1.913 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.913 * [taylor]: Taking taylor expansion of 1.0 in k 1.913 * [backup-simplify]: Simplify 1.0 into 1.0 1.914 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.914 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.914 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.914 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.914 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.914 * [taylor]: Taking taylor expansion of 0.5 in k 1.914 * [backup-simplify]: Simplify 0.5 into 0.5 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.914 * [taylor]: Taking taylor expansion of k in k 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [taylor]: Taking taylor expansion of 1.0 in k 1.914 * [backup-simplify]: Simplify 1.0 into 1.0 1.914 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.914 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.914 * [taylor]: Taking taylor expansion of -2.0 in k 1.914 * [backup-simplify]: Simplify -2.0 into -2.0 1.914 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.915 * [taylor]: Taking taylor expansion of PI in k 1.915 * [backup-simplify]: Simplify PI into PI 1.915 * [taylor]: Taking taylor expansion of n in k 1.915 * [backup-simplify]: Simplify n into n 1.915 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.915 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.915 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.915 * [backup-simplify]: Simplify (+ 1 0) into 1 1.916 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.916 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.916 * [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)))) 1.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.916 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.916 * [taylor]: Taking taylor expansion of -1 in k 1.916 * [backup-simplify]: Simplify -1 into -1 1.916 * [taylor]: Taking taylor expansion of k in k 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (/ -1 1) into -1 1.917 * [backup-simplify]: Simplify (sqrt 0) into 0 1.919 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.919 * [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))))) 1.919 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.919 * [taylor]: Taking taylor expansion of 1.0 in k 1.919 * [backup-simplify]: Simplify 1.0 into 1.0 1.919 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.919 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.919 * [taylor]: Taking taylor expansion of 0.5 in k 1.919 * [backup-simplify]: Simplify 0.5 into 0.5 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.919 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.919 * [taylor]: Taking taylor expansion of k in k 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [taylor]: Taking taylor expansion of 1.0 in k 1.920 * [backup-simplify]: Simplify 1.0 into 1.0 1.920 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.920 * [taylor]: Taking taylor expansion of -2.0 in k 1.920 * [backup-simplify]: Simplify -2.0 into -2.0 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.920 * [taylor]: Taking taylor expansion of PI in k 1.920 * [backup-simplify]: Simplify PI into PI 1.920 * [taylor]: Taking taylor expansion of n in k 1.920 * [backup-simplify]: Simplify n into n 1.920 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 1.920 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 1.920 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 1.921 * [backup-simplify]: Simplify (+ 1 0) into 1 1.921 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.921 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 1.922 * [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)))) 1.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.922 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.922 * [taylor]: Taking taylor expansion of -1 in k 1.922 * [backup-simplify]: Simplify -1 into -1 1.922 * [taylor]: Taking taylor expansion of k in k 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ -1 1) into -1 1.923 * [backup-simplify]: Simplify (sqrt 0) into 0 1.924 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.924 * [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))))) 1.925 * [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))))) 1.925 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 1.925 * [taylor]: Taking taylor expansion of +nan.0 in n 1.925 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 1.925 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 1.925 * [taylor]: Taking taylor expansion of 0.5 in n 1.925 * [backup-simplify]: Simplify 0.5 into 0.5 1.925 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 1.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.925 * [taylor]: Taking taylor expansion of -2.0 in n 1.925 * [backup-simplify]: Simplify -2.0 into -2.0 1.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.925 * [taylor]: Taking taylor expansion of PI in n 1.925 * [backup-simplify]: Simplify PI into PI 1.925 * [taylor]: Taking taylor expansion of n in n 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ PI 1) into PI 1.926 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.927 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.927 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.927 * [taylor]: Taking taylor expansion of k in n 1.927 * [backup-simplify]: Simplify k into k 1.927 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.927 * [taylor]: Taking taylor expansion of 1.0 in n 1.927 * [backup-simplify]: Simplify 1.0 into 1.0 1.929 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.929 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.930 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 1.931 * [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))) 1.933 * [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)))) 1.934 * [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))))) 1.935 * [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))))) 1.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.940 * [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)))))) 1.941 * [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)))))) 1.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 1.941 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 1.941 * [taylor]: Taking taylor expansion of +nan.0 in n 1.941 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.941 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 1.941 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 1.941 * [taylor]: Taking taylor expansion of 0.5 in n 1.941 * [backup-simplify]: Simplify 0.5 into 0.5 1.941 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 1.941 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.941 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.941 * [taylor]: Taking taylor expansion of -2.0 in n 1.941 * [backup-simplify]: Simplify -2.0 into -2.0 1.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.941 * [taylor]: Taking taylor expansion of PI in n 1.941 * [backup-simplify]: Simplify PI into PI 1.941 * [taylor]: Taking taylor expansion of n in n 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ PI 1) into PI 1.942 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.943 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.944 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.944 * [taylor]: Taking taylor expansion of k in n 1.944 * [backup-simplify]: Simplify k into k 1.944 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.944 * [taylor]: Taking taylor expansion of 1.0 in n 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.945 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.945 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.946 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 1.948 * [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))) 1.949 * [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)))) 1.950 * [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))))) 1.952 * [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)))))) 1.953 * [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)))))) 1.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 1.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 1.960 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 1.964 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.972 * [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)))))) 1.973 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 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)))))) 1.973 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 1.973 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 1.974 * [taylor]: Taking taylor expansion of +nan.0 in n 1.974 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 1.974 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 1.974 * [taylor]: Taking taylor expansion of 0.5 in n 1.974 * [backup-simplify]: Simplify 0.5 into 0.5 1.974 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 1.974 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.974 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.974 * [taylor]: Taking taylor expansion of -2.0 in n 1.974 * [backup-simplify]: Simplify -2.0 into -2.0 1.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.974 * [taylor]: Taking taylor expansion of PI in n 1.974 * [backup-simplify]: Simplify PI into PI 1.974 * [taylor]: Taking taylor expansion of n in n 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ PI 1) into PI 1.975 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 1.976 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.976 * [taylor]: Taking taylor expansion of k in n 1.976 * [backup-simplify]: Simplify k into k 1.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.976 * [taylor]: Taking taylor expansion of 1.0 in n 1.977 * [backup-simplify]: Simplify 1.0 into 1.0 1.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 1.978 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.979 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 1.981 * [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))) 1.982 * [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)))) 1.983 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 1.985 * [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)))))) 1.986 * [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)))))) 1.992 * [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)))))))) 1.992 * * * [progress]: simplifying candidates 1.996 * [simplify]: Simplifying: (* (+ (log PI) (+ (log n) (log 2.0))) (/ (- 1.0 k) 2.0)) (* (+ (log PI) (log (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* n 2.0))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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))) 1)) (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)) 1)) (pow (* PI (* n 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ 1 (sqrt 2.0))) (pow (* PI (* n 2.0)) (/ 1 1)) (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 (* PI (* n 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* PI (* n 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* n 2.0)) (/ 1 (sqrt 2.0))) (pow (* PI (* n 2.0)) (/ 1 1)) (pow (* PI (* n 2.0)) 1) (pow (* PI (* n 2.0)) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ (- 1.0 k) 2.0)) (log (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (exp (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (* (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* PI (* n 2.0)) (* PI (* n 2.0)) (+ (log PI) (+ (log n) (log 2.0))) (+ (log PI) (log (* n 2.0))) (log (* PI (* n 2.0))) (exp (* PI (* n 2.0))) (* (* (* PI PI) PI) (* (* (* n n) n) (* (* 2.0 2.0) 2.0))) (* (* (* PI PI) PI) (* (* (* n 2.0) (* n 2.0)) (* n 2.0))) (* (cbrt (* PI (* n 2.0))) (cbrt (* PI (* n 2.0)))) (cbrt (* PI (* n 2.0))) (* (* (* PI (* n 2.0)) (* PI (* n 2.0))) (* PI (* n 2.0))) (sqrt (* PI (* n 2.0))) (sqrt (* PI (* n 2.0))) (* PI n) (* (cbrt PI) (* n 2.0)) (* (sqrt PI) (* n 2.0)) (* PI (* n 2.0)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 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(* (/ 1.0 (sqrt k)) (pow 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) (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 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))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (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 (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 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(log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* 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)))))))) 2.003 * * [simplify]: iteration 0: 354 enodes 2.103 * * [simplify]: iteration 1: 979 enodes 2.597 * * [simplify]: iteration 2: 4321 enodes 3.592 * * [simplify]: iteration complete: 5000 enodes 3.592 * * [simplify]: Extracting #0: cost 118 inf + 0 3.593 * * [simplify]: Extracting #1: cost 757 inf + 2 3.597 * * [simplify]: Extracting #2: cost 1237 inf + 317 3.606 * * [simplify]: Extracting #3: cost 1265 inf + 2408 3.612 * * [simplify]: Extracting #4: cost 746 inf + 9004 3.619 * * [simplify]: Extracting #5: cost 384 inf + 15653 3.632 * * [simplify]: Extracting #6: cost 346 inf + 18092 3.640 * * [simplify]: Extracting #7: cost 278 inf + 19577 3.647 * * [simplify]: Extracting #8: cost 98 inf + 23140 3.655 * * [simplify]: Extracting #9: cost 14 inf + 27089 3.663 * * [simplify]: Extracting #10: cost 1 inf + 28679 3.676 * * [simplify]: Extracting #11: cost 0 inf + 28882 3.685 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) 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(sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (pow (exp (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (pow (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) 3) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (pow (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) 3) (sqrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2))) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2)))) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2)))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 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)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1.0) (+ (* (* 0.25 (* (* k k) (* (log n) (pow (* (* 2.0 PI) n) 0.5)))) (log (* 2.0 PI))) (+ (* (* (* k k) (* (pow (log n) 2) (pow (* (* 2.0 PI) n) 0.5))) 0.125) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (pow (* (* 2.0 PI) n) 0.5) (* k k)) (* 0.125 (pow (log (* 2.0 PI)) 2)))) (* (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))))) 0.5)))) (pow (* (* 2.0 PI) n) (* (- 1.0 k) 0.5)) (pow (pow (exp (- 1.0 k)) (- (log (* -2.0 PI)) (log (/ -1 n)))) 0.5) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- +nan.0 (* +nan.0 k)) (* (- (* k k)) +nan.0)) (- (- (/ +nan.0 (* k k)) (- (/ +nan.0 k) (/ +nan.0 (pow k 3))))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (+ (+ (- (* (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (* (* k k) +nan.0)) (* (* +nan.0 (* (log n) (* k k))) (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5))) (+ (- (* +nan.0 (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) (* (pow (log (* 2.0 PI)) 2) (* k k))) +nan.0)) (- (* (* +nan.0 (* (* (log n) (* 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) (* (* (log (* 2.0 PI)) k) +nan.0)) (* +nan.0 (* (* (log n) k) (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5)))) (* +nan.0 (- (* (* (* (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))) k) k) (* (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) (* k k))))))))) (* (- +nan.0) (* (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) k))) (+ (* (/ (pow (* (* 2.0 PI) n) (* (- 1.0 k) 0.5)) (* k k)) (- +nan.0)) (* +nan.0 (- (/ (pow (* (* 2.0 PI) n) (* (- 1.0 k) 0.5)) k) (/ (pow (* (* 2.0 PI) n) (* (- 1.0 k) 0.5)) (pow k 3))))) (+ (* (pow (pow (exp (- 1.0 k)) (- (log (* -2.0 PI)) (log (/ -1 n)))) 0.5) (- +nan.0)) (* +nan.0 (- (/ (pow (pow (exp (- 1.0 k)) (- (log (* -2.0 PI)) (log (/ -1 n)))) 0.5) k) (/ (/ (pow (pow (exp (- 1.0 k)) (- (log (* -2.0 PI)) (log (/ -1 n)))) 0.5) k) k)))) 3.686 * * * [progress]: adding candidates to table 4.630 * * [progress]: iteration 2 / 4 4.630 * * * [progress]: picking best candidate 4.689 * * * * [pick]: Picked # 4.689 * * * [progress]: localizing error 4.740 * * * [progress]: generating rewritten candidates 4.740 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.748 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.754 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.818 * * * [progress]: generating series expansions 4.818 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.818 * [backup-simplify]: Simplify (pow (* n 2.0) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 n) (* 0.5 (- 1.0 k))) 4.818 * [approximate]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in (n k) around 0 4.818 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in k 4.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in k 4.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in k 4.819 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.819 * [taylor]: Taking taylor expansion of 0.5 in k 4.819 * [backup-simplify]: Simplify 0.5 into 0.5 4.819 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.819 * [taylor]: Taking taylor expansion of 1.0 in k 4.819 * [backup-simplify]: Simplify 1.0 into 1.0 4.819 * [taylor]: Taking taylor expansion of k in k 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in k 4.819 * [taylor]: Taking taylor expansion of (* 2.0 n) in k 4.819 * [taylor]: Taking taylor expansion of 2.0 in k 4.819 * [backup-simplify]: Simplify 2.0 into 2.0 4.819 * [taylor]: Taking taylor expansion of n in k 4.819 * [backup-simplify]: Simplify n into n 4.819 * [backup-simplify]: Simplify (* 2.0 n) into (* 2.0 n) 4.819 * [backup-simplify]: Simplify (log (* 2.0 n)) into (log (* 2.0 n)) 4.820 * [backup-simplify]: Simplify (- 0) into 0 4.820 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.821 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.821 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 n))) into (* 0.5 (log (* 2.0 n))) 4.821 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 n)))) into (pow (* 2.0 n) 0.5) 4.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in n 4.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in n 4.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in n 4.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.821 * [taylor]: Taking taylor expansion of 0.5 in n 4.821 * [backup-simplify]: Simplify 0.5 into 0.5 4.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.821 * [taylor]: Taking taylor expansion of 1.0 in n 4.821 * [backup-simplify]: Simplify 1.0 into 1.0 4.821 * [taylor]: Taking taylor expansion of k in n 4.821 * [backup-simplify]: Simplify k into k 4.821 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 4.821 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 4.821 * [taylor]: Taking taylor expansion of 2.0 in n 4.821 * [backup-simplify]: Simplify 2.0 into 2.0 4.821 * [taylor]: Taking taylor expansion of n in n 4.821 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.823 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 4.824 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.824 * [backup-simplify]: Simplify (- k) into (- k) 4.824 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.824 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.825 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 4.825 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log n) (log 2.0))) into (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) 4.826 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) into (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) 4.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in n 4.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in n 4.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in n 4.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.826 * [taylor]: Taking taylor expansion of 0.5 in n 4.826 * [backup-simplify]: Simplify 0.5 into 0.5 4.826 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.826 * [taylor]: Taking taylor expansion of 1.0 in n 4.826 * [backup-simplify]: Simplify 1.0 into 1.0 4.826 * [taylor]: Taking taylor expansion of k in n 4.826 * [backup-simplify]: Simplify k into k 4.826 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 4.826 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 4.826 * [taylor]: Taking taylor expansion of 2.0 in n 4.826 * [backup-simplify]: Simplify 2.0 into 2.0 4.826 * [taylor]: Taking taylor expansion of n in n 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.827 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.828 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 4.829 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.829 * [backup-simplify]: Simplify (- k) into (- k) 4.829 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.829 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 4.830 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log n) (log 2.0))) into (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) 4.831 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) into (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) 4.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) in k 4.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) in k 4.831 * [taylor]: Taking taylor expansion of 0.5 in k 4.831 * [backup-simplify]: Simplify 0.5 into 0.5 4.831 * [taylor]: Taking taylor expansion of (* (+ (log n) (log 2.0)) (- 1.0 k)) in k 4.831 * [taylor]: Taking taylor expansion of (+ (log n) (log 2.0)) in k 4.831 * [taylor]: Taking taylor expansion of (log n) in k 4.831 * [taylor]: Taking taylor expansion of n in k 4.831 * [backup-simplify]: Simplify n into n 4.831 * [backup-simplify]: Simplify (log n) into (log n) 4.831 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.831 * [taylor]: Taking taylor expansion of 2.0 in k 4.831 * [backup-simplify]: Simplify 2.0 into 2.0 4.832 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.832 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.832 * [taylor]: Taking taylor expansion of 1.0 in k 4.832 * [backup-simplify]: Simplify 1.0 into 1.0 4.832 * [taylor]: Taking taylor expansion of k in k 4.832 * [backup-simplify]: Simplify 0 into 0 4.832 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (+ (log n) (log 2.0)) into (+ (log n) (log 2.0)) 4.833 * [backup-simplify]: Simplify (- 0) into 0 4.833 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.834 * [backup-simplify]: Simplify (* (+ (log n) (log 2.0)) 1.0) into (* 1.0 (+ (log n) (log 2.0))) 4.834 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log n) (log 2.0)))) into (* 0.5 (+ (log n) (log 2.0))) 4.834 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log n) (log 2.0)))) into (exp (* 0.5 (+ (log n) (log 2.0)))) 4.835 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log n) (log 2.0)))) into (exp (* 0.5 (+ (log n) (log 2.0)))) 4.836 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 4.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.838 * [backup-simplify]: Simplify (- 0) into 0 4.838 * [backup-simplify]: Simplify (+ 0 0) into 0 4.839 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.839 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 4.840 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log n) (log 2.0)))) into 0 4.841 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.841 * [taylor]: Taking taylor expansion of 0 in k 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify (- 1) into -1 4.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.845 * [backup-simplify]: Simplify (+ 0 0) into 0 4.846 * [backup-simplify]: Simplify (+ (* (+ (log n) (log 2.0)) -1) (* 0 1.0)) into (- (+ (log n) (log 2.0))) 4.847 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log n) (log 2.0)))) (* 0 (* 1.0 (+ (log n) (log 2.0))))) into (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 4.849 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log n) (log 2.0)))) (+ (* (/ (pow (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) 4.850 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) into (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) 4.852 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.855 * [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 4.855 * [backup-simplify]: Simplify (- 0) into 0 4.855 * [backup-simplify]: Simplify (+ 0 0) into 0 4.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.857 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 4.858 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log 2.0))))) into 0 4.860 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.860 * [taylor]: Taking taylor expansion of 0 in k 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (- 0) into 0 4.861 * [backup-simplify]: Simplify (+ 0 0) into 0 4.863 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.866 * [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 4.866 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [backup-simplify]: Simplify (+ (* (+ (log n) (log 2.0)) 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.869 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log n) (log 2.0)))) (* 0 (* 1.0 (+ (log n) (log 2.0)))))) into 0 4.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log n) (log 2.0)))) (+ (* (/ (pow (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) 4.874 * [backup-simplify]: Simplify (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) 4.880 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) (* k 1)) (exp (* 0.5 (+ (log n) (log 2.0)))))) into (- (+ (* 0.125 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (log 2.0) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (pow (log 2.0) 2) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (pow k 2)))) (exp (* 0.5 (+ (log n) (log 2.0))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) k))) (* 0.5 (* (log 2.0) (* k (exp (* 0.5 (+ (log n) (log 2.0))))))))) 4.880 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2.0) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) 4.880 * [approximate]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.880 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in k 4.880 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in k 4.880 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.880 * [taylor]: Taking taylor expansion of 0.5 in k 4.880 * [backup-simplify]: Simplify 0.5 into 0.5 4.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.881 * [taylor]: Taking taylor expansion of 1.0 in k 4.881 * [backup-simplify]: Simplify 1.0 into 1.0 4.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.881 * [taylor]: Taking taylor expansion of k in k 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (/ 1 1) into 1 4.881 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in k 4.881 * [taylor]: Taking taylor expansion of (/ 2.0 n) in k 4.881 * [taylor]: Taking taylor expansion of 2.0 in k 4.881 * [backup-simplify]: Simplify 2.0 into 2.0 4.881 * [taylor]: Taking taylor expansion of n in k 4.881 * [backup-simplify]: Simplify n into n 4.881 * [backup-simplify]: Simplify (/ 2.0 n) into (/ 2.0 n) 4.881 * [backup-simplify]: Simplify (log (/ 2.0 n)) into (log (/ 2.0 n)) 4.882 * [backup-simplify]: Simplify (- 1) into -1 4.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.883 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.883 * [backup-simplify]: Simplify (* -0.5 (log (/ 2.0 n))) into (* -0.5 (log (/ 2.0 n))) 4.883 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 2.0 n))))) 4.883 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in n 4.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in n 4.883 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.883 * [taylor]: Taking taylor expansion of 0.5 in n 4.883 * [backup-simplify]: Simplify 0.5 into 0.5 4.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.883 * [taylor]: Taking taylor expansion of 1.0 in n 4.883 * [backup-simplify]: Simplify 1.0 into 1.0 4.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.883 * [taylor]: Taking taylor expansion of k in n 4.883 * [backup-simplify]: Simplify k into k 4.883 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.883 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 4.883 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 4.884 * [taylor]: Taking taylor expansion of 2.0 in n 4.884 * [backup-simplify]: Simplify 2.0 into 2.0 4.884 * [taylor]: Taking taylor expansion of n in n 4.884 * [backup-simplify]: Simplify 0 into 0 4.884 * [backup-simplify]: Simplify 1 into 1 4.884 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 4.885 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.885 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.885 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.885 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 4.886 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log 2.0) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) 4.887 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 4.887 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in n 4.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in n 4.887 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.887 * [taylor]: Taking taylor expansion of 0.5 in n 4.887 * [backup-simplify]: Simplify 0.5 into 0.5 4.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.887 * [taylor]: Taking taylor expansion of 1.0 in n 4.887 * [backup-simplify]: Simplify 1.0 into 1.0 4.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.887 * [taylor]: Taking taylor expansion of k in n 4.887 * [backup-simplify]: Simplify k into k 4.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.887 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 4.887 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 4.887 * [taylor]: Taking taylor expansion of 2.0 in n 4.887 * [backup-simplify]: Simplify 2.0 into 2.0 4.888 * [taylor]: Taking taylor expansion of n in n 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 1 into 1 4.888 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 4.888 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.888 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.889 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.889 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 4.890 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log 2.0) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) 4.891 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 4.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) in k 4.891 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) in k 4.891 * [taylor]: Taking taylor expansion of 0.5 in k 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))) in k 4.891 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.891 * [taylor]: Taking taylor expansion of 1.0 in k 4.891 * [backup-simplify]: Simplify 1.0 into 1.0 4.891 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.891 * [taylor]: Taking taylor expansion of k in k 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (/ 1 1) into 1 4.891 * [taylor]: Taking taylor expansion of (- (log 2.0) (log n)) in k 4.891 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.891 * [taylor]: Taking taylor expansion of 2.0 in k 4.891 * [backup-simplify]: Simplify 2.0 into 2.0 4.892 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.892 * [taylor]: Taking taylor expansion of (log n) in k 4.892 * [taylor]: Taking taylor expansion of n in k 4.892 * [backup-simplify]: Simplify n into n 4.892 * [backup-simplify]: Simplify (log n) into (log n) 4.892 * [backup-simplify]: Simplify (- 1) into -1 4.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.893 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.893 * [backup-simplify]: Simplify (+ (log 2.0) (- (log n))) into (- (log 2.0) (log n)) 4.894 * [backup-simplify]: Simplify (* -1 (- (log 2.0) (log n))) into (* -1 (- (log 2.0) (log n))) 4.894 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log 2.0) (log n)))) into (* -0.5 (- (log 2.0) (log n))) 4.895 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 4.895 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 4.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.898 * [backup-simplify]: Simplify (- 0) into 0 4.899 * [backup-simplify]: Simplify (+ 0 0) into 0 4.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.900 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 4.901 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log 2.0) (log n)))) into 0 4.902 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.902 * [taylor]: Taking taylor expansion of 0 in k 4.902 * [backup-simplify]: Simplify 0 into 0 4.902 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [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 4.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.907 * [backup-simplify]: Simplify (- 0) into 0 4.908 * [backup-simplify]: Simplify (+ 0 0) into 0 4.908 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.909 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 4.910 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2.0) (log n))))) into 0 4.912 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.912 * [taylor]: Taking taylor expansion of 0 in k 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.918 * [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 4.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.919 * [backup-simplify]: Simplify (- 0) into 0 4.919 * [backup-simplify]: Simplify (+ 0 0) into 0 4.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.921 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 4.923 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2.0) (log n)))))) into 0 4.925 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.925 * [taylor]: Taking taylor expansion of 0 in k 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log 2.0) (log (/ 1 n)))))) into (exp (* 0.5 (* (- (log 2.0) (log (/ 1 n))) (- 1.0 k)))) 4.926 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2.0) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) 4.926 * [approximate]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.926 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.926 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in k 4.926 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in k 4.926 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.926 * [taylor]: Taking taylor expansion of 0.5 in k 4.926 * [backup-simplify]: Simplify 0.5 into 0.5 4.926 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.926 * [taylor]: Taking taylor expansion of k in k 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.927 * [backup-simplify]: Simplify (/ 1 1) into 1 4.927 * [taylor]: Taking taylor expansion of 1.0 in k 4.927 * [backup-simplify]: Simplify 1.0 into 1.0 4.927 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in k 4.927 * [taylor]: Taking taylor expansion of (/ -2.0 n) in k 4.927 * [taylor]: Taking taylor expansion of -2.0 in k 4.927 * [backup-simplify]: Simplify -2.0 into -2.0 4.927 * [taylor]: Taking taylor expansion of n in k 4.927 * [backup-simplify]: Simplify n into n 4.927 * [backup-simplify]: Simplify (/ -2.0 n) into (/ -2.0 n) 4.927 * [backup-simplify]: Simplify (log (/ -2.0 n)) into (log (/ -2.0 n)) 4.928 * [backup-simplify]: Simplify (+ 1 0) into 1 4.928 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.928 * [backup-simplify]: Simplify (* 0.5 (log (/ -2.0 n))) into (* 0.5 (log (/ -2.0 n))) 4.928 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) into (exp (* 0.5 (* (log (/ -2.0 n)) (+ (/ 1 k) 1.0)))) 4.928 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.928 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in n 4.929 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in n 4.929 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.929 * [taylor]: Taking taylor expansion of 0.5 in n 4.929 * [backup-simplify]: Simplify 0.5 into 0.5 4.929 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.929 * [taylor]: Taking taylor expansion of k in n 4.929 * [backup-simplify]: Simplify k into k 4.929 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.929 * [taylor]: Taking taylor expansion of 1.0 in n 4.929 * [backup-simplify]: Simplify 1.0 into 1.0 4.929 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 4.929 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 4.929 * [taylor]: Taking taylor expansion of -2.0 in n 4.929 * [backup-simplify]: Simplify -2.0 into -2.0 4.929 * [taylor]: Taking taylor expansion of n in n 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (/ -2.0 1) into -2.0 4.930 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 4.930 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.930 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 4.932 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -2.0) (log n))) into (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) 4.932 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 4.932 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in n 4.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in n 4.932 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.932 * [taylor]: Taking taylor expansion of 0.5 in n 4.933 * [backup-simplify]: Simplify 0.5 into 0.5 4.933 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.933 * [taylor]: Taking taylor expansion of k in n 4.933 * [backup-simplify]: Simplify k into k 4.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.933 * [taylor]: Taking taylor expansion of 1.0 in n 4.933 * [backup-simplify]: Simplify 1.0 into 1.0 4.933 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 4.933 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 4.933 * [taylor]: Taking taylor expansion of -2.0 in n 4.933 * [backup-simplify]: Simplify -2.0 into -2.0 4.933 * [taylor]: Taking taylor expansion of n in n 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (/ -2.0 1) into -2.0 4.934 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 4.934 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.934 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.935 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 4.936 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -2.0) (log n))) into (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) 4.936 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 4.936 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) in k 4.936 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) in k 4.936 * [taylor]: Taking taylor expansion of 0.5 in k 4.936 * [backup-simplify]: Simplify 0.5 into 0.5 4.937 * [taylor]: Taking taylor expansion of (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)) in k 4.937 * [taylor]: Taking taylor expansion of (- (log -2.0) (log n)) in k 4.937 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.937 * [taylor]: Taking taylor expansion of -2.0 in k 4.937 * [backup-simplify]: Simplify -2.0 into -2.0 4.937 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 4.937 * [taylor]: Taking taylor expansion of (log n) in k 4.937 * [taylor]: Taking taylor expansion of n in k 4.937 * [backup-simplify]: Simplify n into n 4.937 * [backup-simplify]: Simplify (log n) into (log n) 4.937 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.937 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.937 * [taylor]: Taking taylor expansion of k in k 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of 1.0 in k 4.938 * [backup-simplify]: Simplify 1.0 into 1.0 4.938 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.938 * [backup-simplify]: Simplify (+ (log -2.0) (- (log n))) into (- (log -2.0) (log n)) 4.939 * [backup-simplify]: Simplify (+ 1 0) into 1 4.939 * [backup-simplify]: Simplify (* (- (log -2.0) (log n)) 1) into (- (log -2.0) (log n)) 4.940 * [backup-simplify]: Simplify (* 0.5 (- (log -2.0) (log n))) into (* 0.5 (- (log -2.0) (log n))) 4.940 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 4.941 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 4.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)))) into 0 4.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2.0 1)))) 1) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.944 * [backup-simplify]: Simplify (+ 0 0) into 0 4.945 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.946 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 4.946 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -2.0) (log n)))) into 0 4.948 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.948 * [taylor]: Taking taylor expansion of 0 in k 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.952 * [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 4.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.953 * [backup-simplify]: Simplify (+ 0 0) into 0 4.954 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 4.956 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -2.0) (log n))))) into 0 4.963 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.963 * [taylor]: Taking taylor expansion of 0 in k 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.963 * [backup-simplify]: Simplify 0 into 0 4.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.970 * [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 4.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.971 * [backup-simplify]: Simplify (+ 0 0) into 0 4.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.973 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 4.974 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2.0) (log n)))))) into 0 4.976 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.976 * [taylor]: Taking taylor expansion of 0 in k 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -2.0) (log (/ -1 n)))))) 4.977 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.978 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 4.978 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 4.978 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.978 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.978 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.978 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.978 * [taylor]: Taking taylor expansion of 0.5 in k 4.978 * [backup-simplify]: Simplify 0.5 into 0.5 4.978 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.978 * [taylor]: Taking taylor expansion of 1.0 in k 4.978 * [backup-simplify]: Simplify 1.0 into 1.0 4.978 * [taylor]: Taking taylor expansion of k in k 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (log PI) in k 4.978 * [taylor]: Taking taylor expansion of PI in k 4.978 * [backup-simplify]: Simplify PI into PI 4.978 * [backup-simplify]: Simplify (log PI) into (log PI) 4.979 * [backup-simplify]: Simplify (- 0) into 0 4.979 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.980 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.981 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.982 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.982 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.982 * [taylor]: Taking taylor expansion of 0.5 in k 4.982 * [backup-simplify]: Simplify 0.5 into 0.5 4.982 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.983 * [taylor]: Taking taylor expansion of 1.0 in k 4.983 * [backup-simplify]: Simplify 1.0 into 1.0 4.983 * [taylor]: Taking taylor expansion of k in k 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [taylor]: Taking taylor expansion of (log PI) in k 4.983 * [taylor]: Taking taylor expansion of PI in k 4.983 * [backup-simplify]: Simplify PI into PI 4.983 * [backup-simplify]: Simplify (log PI) into (log PI) 4.983 * [backup-simplify]: Simplify (- 0) into 0 4.984 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.984 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.985 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.987 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.987 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 4.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.989 * [backup-simplify]: Simplify (- 1) into -1 4.990 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.991 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.993 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 4.998 * [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))) 5.001 * [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))) 5.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 5.003 * [backup-simplify]: Simplify (- 0) into 0 5.003 * [backup-simplify]: Simplify (+ 0 0) into 0 5.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 5.012 * [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))) 5.014 * [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))) 5.020 * [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)))) 5.020 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 5.020 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 5.020 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.020 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.020 * [taylor]: Taking taylor expansion of 0.5 in k 5.020 * [backup-simplify]: Simplify 0.5 into 0.5 5.020 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.020 * [taylor]: Taking taylor expansion of 1.0 in k 5.020 * [backup-simplify]: Simplify 1.0 into 1.0 5.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.020 * [taylor]: Taking taylor expansion of k in k 5.020 * [backup-simplify]: Simplify 0 into 0 5.020 * [backup-simplify]: Simplify 1 into 1 5.021 * [backup-simplify]: Simplify (/ 1 1) into 1 5.021 * [taylor]: Taking taylor expansion of (log PI) in k 5.021 * [taylor]: Taking taylor expansion of PI in k 5.021 * [backup-simplify]: Simplify PI into PI 5.021 * [backup-simplify]: Simplify (log PI) into (log PI) 5.021 * [backup-simplify]: Simplify (- 1) into -1 5.022 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.022 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.023 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 5.023 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 5.023 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.023 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.023 * [taylor]: Taking taylor expansion of 0.5 in k 5.023 * [backup-simplify]: Simplify 0.5 into 0.5 5.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.023 * [taylor]: Taking taylor expansion of 1.0 in k 5.023 * [backup-simplify]: Simplify 1.0 into 1.0 5.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.023 * [taylor]: Taking taylor expansion of k in k 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify 1 into 1 5.023 * [backup-simplify]: Simplify (/ 1 1) into 1 5.023 * [taylor]: Taking taylor expansion of (log PI) in k 5.023 * [taylor]: Taking taylor expansion of PI in k 5.023 * [backup-simplify]: Simplify PI into PI 5.024 * [backup-simplify]: Simplify (log PI) into (log PI) 5.024 * [backup-simplify]: Simplify (- 1) into -1 5.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.024 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.025 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 5.025 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 5.026 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify 0 into 0 5.026 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 5.027 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 5.027 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 5.027 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.027 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.027 * [taylor]: Taking taylor expansion of 0.5 in k 5.027 * [backup-simplify]: Simplify 0.5 into 0.5 5.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.027 * [taylor]: Taking taylor expansion of k in k 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [backup-simplify]: Simplify (/ 1 1) into 1 5.027 * [taylor]: Taking taylor expansion of 1.0 in k 5.027 * [backup-simplify]: Simplify 1.0 into 1.0 5.027 * [taylor]: Taking taylor expansion of (log PI) in k 5.027 * [taylor]: Taking taylor expansion of PI in k 5.027 * [backup-simplify]: Simplify PI into PI 5.027 * [backup-simplify]: Simplify (log PI) into (log PI) 5.028 * [backup-simplify]: Simplify (+ 1 0) into 1 5.028 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.028 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.029 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 5.029 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.029 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.029 * [taylor]: Taking taylor expansion of 0.5 in k 5.029 * [backup-simplify]: Simplify 0.5 into 0.5 5.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.029 * [taylor]: Taking taylor expansion of k in k 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 1 into 1 5.029 * [backup-simplify]: Simplify (/ 1 1) into 1 5.029 * [taylor]: Taking taylor expansion of 1.0 in k 5.029 * [backup-simplify]: Simplify 1.0 into 1.0 5.029 * [taylor]: Taking taylor expansion of (log PI) in k 5.029 * [taylor]: Taking taylor expansion of PI in k 5.029 * [backup-simplify]: Simplify PI into PI 5.030 * [backup-simplify]: Simplify (log PI) into (log PI) 5.030 * [backup-simplify]: Simplify (+ 1 0) into 1 5.030 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.031 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.031 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 5.032 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 5.032 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.032 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 5.032 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.032 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.032 * [taylor]: Taking taylor expansion of 1.0 in k 5.032 * [backup-simplify]: Simplify 1.0 into 1.0 5.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.032 * [taylor]: Taking taylor expansion of k in k 5.032 * [backup-simplify]: Simplify 0 into 0 5.032 * [backup-simplify]: Simplify 1 into 1 5.033 * [backup-simplify]: Simplify (/ 1 1) into 1 5.033 * [backup-simplify]: Simplify (sqrt 0) into 0 5.034 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.034 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.034 * [taylor]: Taking taylor expansion of 1.0 in k 5.034 * [backup-simplify]: Simplify 1.0 into 1.0 5.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.034 * [taylor]: Taking taylor expansion of k in k 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 1 into 1 5.034 * [backup-simplify]: Simplify (/ 1 1) into 1 5.034 * [backup-simplify]: Simplify (sqrt 0) into 0 5.035 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.036 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.036 * [backup-simplify]: Simplify 0 into 0 5.038 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.038 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.042 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.044 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.044 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.052 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.052 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.053 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 5.054 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 5.054 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.054 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.054 * [taylor]: Taking taylor expansion of 1.0 in k 5.054 * [backup-simplify]: Simplify 1.0 into 1.0 5.054 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.054 * [taylor]: Taking taylor expansion of k in k 5.054 * [backup-simplify]: Simplify 0 into 0 5.054 * [backup-simplify]: Simplify 1 into 1 5.054 * [backup-simplify]: Simplify (sqrt 0) into 0 5.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.056 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.056 * [taylor]: Taking taylor expansion of 1.0 in k 5.056 * [backup-simplify]: Simplify 1.0 into 1.0 5.056 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.056 * [taylor]: Taking taylor expansion of k in k 5.056 * [backup-simplify]: Simplify 0 into 0 5.056 * [backup-simplify]: Simplify 1 into 1 5.056 * [backup-simplify]: Simplify (sqrt 0) into 0 5.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.058 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.058 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 5.060 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.063 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.065 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 5.065 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.071 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.072 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.073 * [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)))))))) 5.074 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 5.074 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.074 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.074 * [taylor]: Taking taylor expansion of 1.0 in k 5.074 * [backup-simplify]: Simplify 1.0 into 1.0 5.074 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.074 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.074 * [taylor]: Taking taylor expansion of -1 in k 5.074 * [backup-simplify]: Simplify -1 into -1 5.074 * [taylor]: Taking taylor expansion of k in k 5.074 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify 1 into 1 5.074 * [backup-simplify]: Simplify (/ -1 1) into -1 5.075 * [backup-simplify]: Simplify (sqrt 0) into 0 5.076 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.077 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.077 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.077 * [taylor]: Taking taylor expansion of 1.0 in k 5.077 * [backup-simplify]: Simplify 1.0 into 1.0 5.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.077 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.077 * [taylor]: Taking taylor expansion of -1 in k 5.077 * [backup-simplify]: Simplify -1 into -1 5.077 * [taylor]: Taking taylor expansion of k in k 5.077 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify 1 into 1 5.077 * [backup-simplify]: Simplify (/ -1 1) into -1 5.078 * [backup-simplify]: Simplify (sqrt 0) into 0 5.085 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.086 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 5.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.093 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 5.093 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.103 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 5.103 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.104 * [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))))) 5.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.105 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow PI (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 5.105 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow PI (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k) around 0 5.105 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow PI (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 5.105 * [taylor]: Taking taylor expansion of 1.0 in k 5.105 * [backup-simplify]: Simplify 1.0 into 1.0 5.105 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 5.105 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 5.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 5.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 5.105 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.105 * [taylor]: Taking taylor expansion of 0.5 in k 5.105 * [backup-simplify]: Simplify 0.5 into 0.5 5.105 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.105 * [taylor]: Taking taylor expansion of 1.0 in k 5.105 * [backup-simplify]: Simplify 1.0 into 1.0 5.105 * [taylor]: Taking taylor expansion of k in k 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 1 into 1 5.105 * [taylor]: Taking taylor expansion of (log PI) in k 5.105 * [taylor]: Taking taylor expansion of PI in k 5.105 * [backup-simplify]: Simplify PI into PI 5.106 * [backup-simplify]: Simplify (log PI) into (log PI) 5.106 * [backup-simplify]: Simplify (- 0) into 0 5.107 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.107 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.108 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.110 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 5.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.110 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.110 * [taylor]: Taking taylor expansion of k in k 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 1 into 1 5.110 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [backup-simplify]: Simplify (sqrt 0) into 0 5.112 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.112 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow PI (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 5.112 * [taylor]: Taking taylor expansion of 1.0 in k 5.112 * [backup-simplify]: Simplify 1.0 into 1.0 5.112 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 5.112 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 5.112 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 5.112 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 5.112 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.112 * [taylor]: Taking taylor expansion of 0.5 in k 5.112 * [backup-simplify]: Simplify 0.5 into 0.5 5.112 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.112 * [taylor]: Taking taylor expansion of 1.0 in k 5.112 * [backup-simplify]: Simplify 1.0 into 1.0 5.112 * [taylor]: Taking taylor expansion of k in k 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 1 into 1 5.112 * [taylor]: Taking taylor expansion of (log PI) in k 5.112 * [taylor]: Taking taylor expansion of PI in k 5.112 * [backup-simplify]: Simplify PI into PI 5.113 * [backup-simplify]: Simplify (log PI) into (log PI) 5.113 * [backup-simplify]: Simplify (- 0) into 0 5.114 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.114 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.115 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.116 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 5.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.117 * [taylor]: Taking taylor expansion of k in k 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.117 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [backup-simplify]: Simplify (sqrt 0) into 0 5.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.119 * [backup-simplify]: Simplify (* (pow PI 0.5) 0) into 0 5.120 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.122 * [backup-simplify]: Simplify (- 1) into -1 5.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.124 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 5.136 * [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))) 5.141 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) +nan.0) (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 0)) into (- (* +nan.0 (pow (pow PI 1.0) 0.5))) 5.147 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (pow PI 1.0) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (pow PI 1.0) 0.5))) 5.151 * [backup-simplify]: Simplify (- (* +nan.0 (pow (pow PI 1.0) 0.5))) into (- (* +nan.0 (pow (pow PI 1.0) 0.5))) 5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.155 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 5.158 * [backup-simplify]: Simplify (- 0) into 0 5.159 * [backup-simplify]: Simplify (+ 0 0) into 0 5.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 5.173 * [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))) 5.188 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) +nan.0) (+ (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) +nan.0) (* (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 0))) into (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5)))))) 5.200 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))))))) (+ (* 0 (- (* +nan.0 (pow (pow PI 1.0) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5)))))) 5.207 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5)))))) into (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5)))))) 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.213 * [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 5.213 * [backup-simplify]: Simplify (- 0) into 0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 5.236 * [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))) 5.264 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) +nan.0) (+ (* (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) +nan.0) (+ (* (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) +nan.0) (* (* -0.020833333333333332 (* (pow (log PI) 3) (pow (pow PI 1.0) 0.5))) 0)))) into (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) 5.292 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))))))) (+ (* 0 (- (* +nan.0 (pow (pow PI 1.0) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) 5.306 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) into (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) 5.342 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5)))))) k) (- (* +nan.0 (pow (pow PI 1.0) 0.5))))) into (- (+ (* +nan.0 (* (pow (pow PI 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log PI) k) (pow (pow PI 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow PI 1.0) 0.5) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))))))))))))) 5.343 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow PI (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 5.343 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k) around 0 5.343 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 5.343 * [taylor]: Taking taylor expansion of 1.0 in k 5.343 * [backup-simplify]: Simplify 1.0 into 1.0 5.343 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 5.343 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.343 * [taylor]: Taking taylor expansion of 0.5 in k 5.343 * [backup-simplify]: Simplify 0.5 into 0.5 5.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.343 * [taylor]: Taking taylor expansion of 1.0 in k 5.343 * [backup-simplify]: Simplify 1.0 into 1.0 5.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.343 * [taylor]: Taking taylor expansion of k in k 5.343 * [backup-simplify]: Simplify 0 into 0 5.343 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (/ 1 1) into 1 5.345 * [taylor]: Taking taylor expansion of (log PI) in k 5.345 * [taylor]: Taking taylor expansion of PI in k 5.345 * [backup-simplify]: Simplify PI into PI 5.346 * [backup-simplify]: Simplify (log PI) into (log PI) 5.346 * [backup-simplify]: Simplify (- 1) into -1 5.347 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.347 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.348 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 5.349 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 5.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.349 * [taylor]: Taking taylor expansion of k in k 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.350 * [backup-simplify]: Simplify (sqrt 0) into 0 5.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.359 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 5.359 * [taylor]: Taking taylor expansion of 1.0 in k 5.359 * [backup-simplify]: Simplify 1.0 into 1.0 5.359 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 5.359 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.359 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.359 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.359 * [taylor]: Taking taylor expansion of 0.5 in k 5.359 * [backup-simplify]: Simplify 0.5 into 0.5 5.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.360 * [taylor]: Taking taylor expansion of 1.0 in k 5.360 * [backup-simplify]: Simplify 1.0 into 1.0 5.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.360 * [taylor]: Taking taylor expansion of k in k 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (/ 1 1) into 1 5.360 * [taylor]: Taking taylor expansion of (log PI) in k 5.360 * [taylor]: Taking taylor expansion of PI in k 5.360 * [backup-simplify]: Simplify PI into PI 5.361 * [backup-simplify]: Simplify (log PI) into (log PI) 5.361 * [backup-simplify]: Simplify (- 1) into -1 5.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.363 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.363 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 5.364 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 5.364 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.364 * [taylor]: Taking taylor expansion of k in k 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 1 into 1 5.364 * [backup-simplify]: Simplify (sqrt 0) into 0 5.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.365 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) into 0 5.366 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.367 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.367 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.369 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.370 * [backup-simplify]: Simplify (+ (* (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 PI)))))) 5.371 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.371 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.375 * [backup-simplify]: Simplify (+ (* (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 PI)))))) 5.376 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.377 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 5.378 * [backup-simplify]: Simplify (+ (* (- (* +nan.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 PI)))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow k 2)))))))) 5.378 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 5.378 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 5.378 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.378 * [taylor]: Taking taylor expansion of 1.0 in k 5.378 * [backup-simplify]: Simplify 1.0 into 1.0 5.378 * [taylor]: Taking taylor expansion of (/ (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.378 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.378 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.378 * [taylor]: Taking taylor expansion of 0.5 in k 5.379 * [backup-simplify]: Simplify 0.5 into 0.5 5.379 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.379 * [taylor]: Taking taylor expansion of k in k 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [taylor]: Taking taylor expansion of 1.0 in k 5.379 * [backup-simplify]: Simplify 1.0 into 1.0 5.379 * [taylor]: Taking taylor expansion of (log PI) in k 5.379 * [taylor]: Taking taylor expansion of PI in k 5.379 * [backup-simplify]: Simplify PI into PI 5.379 * [backup-simplify]: Simplify (log PI) into (log PI) 5.379 * [backup-simplify]: Simplify (+ 1 0) into 1 5.380 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.380 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.381 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 5.381 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.381 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.381 * [taylor]: Taking taylor expansion of -1 in k 5.381 * [backup-simplify]: Simplify -1 into -1 5.381 * [taylor]: Taking taylor expansion of k in k 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 1 into 1 5.381 * [backup-simplify]: Simplify (/ -1 1) into -1 5.381 * [backup-simplify]: Simplify (sqrt 0) into 0 5.382 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.383 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 5.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.383 * [taylor]: Taking taylor expansion of 1.0 in k 5.383 * [backup-simplify]: Simplify 1.0 into 1.0 5.383 * [taylor]: Taking taylor expansion of (/ (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.383 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.383 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.383 * [taylor]: Taking taylor expansion of 0.5 in k 5.383 * [backup-simplify]: Simplify 0.5 into 0.5 5.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.383 * [taylor]: Taking taylor expansion of k in k 5.383 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify 1 into 1 5.383 * [backup-simplify]: Simplify (/ 1 1) into 1 5.383 * [taylor]: Taking taylor expansion of 1.0 in k 5.383 * [backup-simplify]: Simplify 1.0 into 1.0 5.383 * [taylor]: Taking taylor expansion of (log PI) in k 5.383 * [taylor]: Taking taylor expansion of PI in k 5.383 * [backup-simplify]: Simplify PI into PI 5.383 * [backup-simplify]: Simplify (log PI) into (log PI) 5.384 * [backup-simplify]: Simplify (+ 1 0) into 1 5.384 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.385 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.385 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 5.385 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.385 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.385 * [taylor]: Taking taylor expansion of -1 in k 5.385 * [backup-simplify]: Simplify -1 into -1 5.385 * [taylor]: Taking taylor expansion of k in k 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.385 * [backup-simplify]: Simplify (/ -1 1) into -1 5.386 * [backup-simplify]: Simplify (sqrt 0) into 0 5.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.387 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 5.387 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 5.388 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 5.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.390 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.391 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 5.392 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 5.393 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 5.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.397 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.400 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 5.402 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 5.402 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 5.405 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log PI)))))))))) 5.405 * * * [progress]: simplifying candidates 5.409 * [simplify]: Simplifying: (* (+ (log n) (log 2.0)) (/ (- 1.0 k) 2.0)) (* (log (* n 2.0)) (/ (- 1.0 k) 2.0)) (* (log (* n 2.0)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ 1.0 2.0)) (pow (* n 2.0) (/ k 2.0)) (pow (* n 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) 1)) (pow (* n 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (pow (* n 2.0) (/ 1 1)) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* n 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (pow (* n 2.0) (/ 1 1)) (pow (* n 2.0) 1) (pow (* n 2.0) (- 1.0 k)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (log (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (exp (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (* (pow (* n 2.0) (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (* (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)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (log PI) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log PI) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow PI (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (log PI) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log PI) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (pow PI (/ 1.0 2.0))) (* (sqrt k) (pow PI (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 1 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow PI (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt 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k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ 1.0 2.0))) (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (log 2.0) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (pow (log 2.0) 2) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (pow k 2)))) (exp (* 0.5 (+ (log n) (log 2.0))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) k))) (* 0.5 (* (log 2.0) (* k (exp (* 0.5 (+ (log n) (log 2.0))))))))) (exp (* 0.5 (* (- (log 2.0) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log -2.0) (log (/ -1 n)))))) (- (+ (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))))) (- (+ (* +nan.0 (* (pow (pow PI 1.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log PI) k) (pow (pow PI 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow PI 1.0) 0.5) k)) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log PI)))))))))) 5.413 * * [simplify]: iteration 0: 337 enodes 5.520 * * [simplify]: iteration 1: 942 enodes 6.138 * * [simplify]: iteration 2: 4022 enodes 7.207 * * [simplify]: iteration complete: 5000 enodes 7.207 * * [simplify]: Extracting #0: cost 142 inf + 0 7.211 * * [simplify]: Extracting #1: cost 948 inf + 3 7.220 * * [simplify]: Extracting #2: cost 1510 inf + 431 7.232 * * [simplify]: Extracting #3: cost 1471 inf + 3293 7.247 * * [simplify]: Extracting #4: cost 643 inf + 12176 7.261 * * [simplify]: Extracting #5: cost 194 inf + 18202 7.282 * * [simplify]: Extracting #6: cost 45 inf + 20551 7.296 * * [simplify]: Extracting #7: cost 3 inf + 21125 7.310 * * [simplify]: Extracting #8: cost 0 inf + 21121 7.324 * * [simplify]: Extracting #9: cost 0 inf + 21119 7.339 * [simplify]: Simplified to: (/ (log (* n 2.0)) (/ 2.0 (- 1.0 k))) (/ (log (* n 2.0)) (/ 2.0 (- 1.0 k))) (/ (log (* n 2.0)) (/ 2.0 (- 1.0 k))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n 2.0) (/ 1.0 2.0)) (pow (* n 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(cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (pow (* n 2.0) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (/ (* (- 1.0 k) (log PI)) 2.0) (/ (* (- 1.0 k) (log PI)) 2.0) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (cbrt 2.0)) (cbrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow PI (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (sqrt (- 1.0 k))) (pow PI (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (+ (sqrt 1.0) (sqrt k))) (pow PI (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (/ (* (- 1.0 k) (log PI)) 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) 2.0)) (pow PI (/ (/ (- 1.0 k) 2) 2.0)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (pow 1.0 3) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (/ (/ (pow 1.0 3) k) (sqrt k))) (pow (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow PI (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow PI (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow PI (/ (/ (- 1.0 k) 2) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (/ (* (sqrt 1.0) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow PI (/ (/ (- 1.0 k) 2) 2.0)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow PI (/ (/ (- 1.0 k) 2) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (/ (* (sqrt 1.0) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow PI (/ (/ (- 1.0 k) 2) 2.0)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow PI (/ (/ (- 1.0 k) 2) 2.0)))) (* (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (* 1.0 (pow (sqrt PI) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1.0 (sqrt k)) (* (/ (* 1.0 (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k)) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)) (/ 1.0 (sqrt k)) (* (pow PI (/ (/ (- 1.0 k) 2) 2.0)) (/ 1.0 (sqrt k))) (* (pow PI (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow PI (/ (- 1.0 k) 2.0))) (/ (* (cbrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (cbrt k))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (pow PI (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (cbrt k)))) (/ (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow PI (/ 1.0 2.0))) (* 1.0 (pow PI (/ (- 1.0 k) 2.0))) (+ (+ (* (* (pow (log 2.0) 2) 0.125) (* (* k k) (pow (* n 2.0) 0.5))) (+ (pow (* n 2.0) 0.5) (* (* (log 2.0) (pow (* n 2.0) 0.5)) (* (* (* k k) (log n)) 0.25)))) (- (* (* (pow (log n) 2) (* k k)) (* 0.125 (pow (* n 2.0) 0.5))) (* (* (pow (* n 2.0) 0.5) (+ (* k (log n)) (* k (log 2.0)))) 0.5))) (pow (pow (* n 2.0) 0.5) (- 1.0 k)) (pow (exp 0.5) (* (- (log -2.0) (log (/ -1 n))) (- 1.0 k))) (+ (pow PI 0.5) (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow (log PI) 2) (* k k))) (* 0.5 (* k (log PI)))))) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (- (- (* (* k k) +nan.0) (- +nan.0 (* +nan.0 k)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (pow k 3)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (- (+ (- (* (* (* k k) (pow (pow PI 1.0) 0.5)) +nan.0) (* (pow (pow PI 1.0) 0.5) +nan.0)) (+ (- (* (pow (pow PI 1.0) 0.5) (* (* k (log PI)) +nan.0)) (* k (* (pow (pow PI 1.0) 0.5) +nan.0))) (* (pow (pow PI 1.0) 0.5) (- (* +nan.0 (* (* k k) (log PI))) (* (* (pow (log PI) 2) (* k k)) +nan.0)))))) (+ (* (- +nan.0) (/ (pow (pow PI (- 1.0 k)) 0.5) k)) (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (pow k 3)) (/ (pow (pow PI (- 1.0 k)) 0.5) (* k k))))) (+ (* (- +nan.0) (/ (pow (pow PI (- 1.0 k)) 0.5) k)) (* +nan.0 (- (/ (pow (pow PI (- 1.0 k)) 0.5) (* k k)) (pow (pow PI (- 1.0 k)) 0.5)))) 7.341 * * * [progress]: adding candidates to table 8.770 * * [progress]: iteration 3 / 4 8.770 * * * [progress]: picking best candidate 8.813 * * * * [pick]: Picked # 8.813 * * * [progress]: localizing error 8.873 * * * [progress]: generating rewritten candidates 8.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.890 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 8.902 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 8.913 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.951 * * * [progress]: generating series expansions 8.951 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.952 * [backup-simplify]: Simplify (pow (* n 2.0) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 n) (* 0.5 (- 1.0 k))) 8.952 * [approximate]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in (n k) around 0 8.952 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in k 8.952 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in k 8.952 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in k 8.952 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.952 * [taylor]: Taking taylor expansion of 0.5 in k 8.952 * [backup-simplify]: Simplify 0.5 into 0.5 8.952 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.952 * [taylor]: Taking taylor expansion of 1.0 in k 8.952 * [backup-simplify]: Simplify 1.0 into 1.0 8.952 * [taylor]: Taking taylor expansion of k in k 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 1 into 1 8.952 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in k 8.952 * [taylor]: Taking taylor expansion of (* 2.0 n) in k 8.952 * [taylor]: Taking taylor expansion of 2.0 in k 8.952 * [backup-simplify]: Simplify 2.0 into 2.0 8.952 * [taylor]: Taking taylor expansion of n in k 8.952 * [backup-simplify]: Simplify n into n 8.952 * [backup-simplify]: Simplify (* 2.0 n) into (* 2.0 n) 8.952 * [backup-simplify]: Simplify (log (* 2.0 n)) into (log (* 2.0 n)) 8.953 * [backup-simplify]: Simplify (- 0) into 0 8.953 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.954 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 8.954 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 n))) into (* 0.5 (log (* 2.0 n))) 8.954 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 n)))) into (pow (* 2.0 n) 0.5) 8.954 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in n 8.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in n 8.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in n 8.954 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.954 * [taylor]: Taking taylor expansion of 0.5 in n 8.954 * [backup-simplify]: Simplify 0.5 into 0.5 8.954 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.954 * [taylor]: Taking taylor expansion of 1.0 in n 8.954 * [backup-simplify]: Simplify 1.0 into 1.0 8.954 * [taylor]: Taking taylor expansion of k in n 8.954 * [backup-simplify]: Simplify k into k 8.954 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 8.954 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 8.954 * [taylor]: Taking taylor expansion of 2.0 in n 8.954 * [backup-simplify]: Simplify 2.0 into 2.0 8.955 * [taylor]: Taking taylor expansion of n in n 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.956 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.957 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 8.957 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.957 * [backup-simplify]: Simplify (- k) into (- k) 8.958 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.958 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.958 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 8.959 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log n) (log 2.0))) into (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) 8.959 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) into (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) 8.959 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in n 8.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in n 8.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in n 8.960 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.960 * [taylor]: Taking taylor expansion of 0.5 in n 8.960 * [backup-simplify]: Simplify 0.5 into 0.5 8.960 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.960 * [taylor]: Taking taylor expansion of 1.0 in n 8.960 * [backup-simplify]: Simplify 1.0 into 1.0 8.960 * [taylor]: Taking taylor expansion of k in n 8.960 * [backup-simplify]: Simplify k into k 8.960 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 8.960 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 8.960 * [taylor]: Taking taylor expansion of 2.0 in n 8.960 * [backup-simplify]: Simplify 2.0 into 2.0 8.960 * [taylor]: Taking taylor expansion of n in n 8.960 * [backup-simplify]: Simplify 0 into 0 8.960 * [backup-simplify]: Simplify 1 into 1 8.960 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.962 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 8.962 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.962 * [backup-simplify]: Simplify (- k) into (- k) 8.962 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.962 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 8.963 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 8.964 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log n) (log 2.0))) into (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) 8.964 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) into (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) 8.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) in k 8.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) in k 8.964 * [taylor]: Taking taylor expansion of 0.5 in k 8.964 * [backup-simplify]: Simplify 0.5 into 0.5 8.964 * [taylor]: Taking taylor expansion of (* (+ (log n) (log 2.0)) (- 1.0 k)) in k 8.965 * [taylor]: Taking taylor expansion of (+ (log n) (log 2.0)) in k 8.965 * [taylor]: Taking taylor expansion of (log n) in k 8.965 * [taylor]: Taking taylor expansion of n in k 8.965 * [backup-simplify]: Simplify n into n 8.965 * [backup-simplify]: Simplify (log n) into (log n) 8.965 * [taylor]: Taking taylor expansion of (log 2.0) in k 8.965 * [taylor]: Taking taylor expansion of 2.0 in k 8.965 * [backup-simplify]: Simplify 2.0 into 2.0 8.965 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 8.965 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.965 * [taylor]: Taking taylor expansion of 1.0 in k 8.965 * [backup-simplify]: Simplify 1.0 into 1.0 8.965 * [taylor]: Taking taylor expansion of k in k 8.965 * [backup-simplify]: Simplify 0 into 0 8.965 * [backup-simplify]: Simplify 1 into 1 8.966 * [backup-simplify]: Simplify (+ (log n) (log 2.0)) into (+ (log n) (log 2.0)) 8.966 * [backup-simplify]: Simplify (- 0) into 0 8.966 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.967 * [backup-simplify]: Simplify (* (+ (log n) (log 2.0)) 1.0) into (* 1.0 (+ (log n) (log 2.0))) 8.967 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log n) (log 2.0)))) into (* 0.5 (+ (log n) (log 2.0))) 8.968 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log n) (log 2.0)))) into (exp (* 0.5 (+ (log n) (log 2.0)))) 8.968 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log n) (log 2.0)))) into (exp (* 0.5 (+ (log n) (log 2.0)))) 8.969 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 8.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 8.971 * [backup-simplify]: Simplify (- 0) into 0 8.971 * [backup-simplify]: Simplify (+ 0 0) into 0 8.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 8.972 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 8.973 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log n) (log 2.0)))) into 0 8.974 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.974 * [taylor]: Taking taylor expansion of 0 in k 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify (- 1) into -1 8.975 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 8.977 * [backup-simplify]: Simplify (+ 0 0) into 0 8.978 * [backup-simplify]: Simplify (+ (* (+ (log n) (log 2.0)) -1) (* 0 1.0)) into (- (+ (log n) (log 2.0))) 8.979 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log n) (log 2.0)))) (* 0 (* 1.0 (+ (log n) (log 2.0))))) into (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 8.981 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log n) (log 2.0)))) (+ (* (/ (pow (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) 8.982 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) into (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) 8.983 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.986 * [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 8.986 * [backup-simplify]: Simplify (- 0) into 0 8.986 * [backup-simplify]: Simplify (+ 0 0) into 0 8.987 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 8.989 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log 2.0))))) into 0 8.990 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.990 * [taylor]: Taking taylor expansion of 0 in k 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (- 0) into 0 8.991 * [backup-simplify]: Simplify (+ 0 0) into 0 8.993 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.995 * [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 8.996 * [backup-simplify]: Simplify (+ 0 0) into 0 8.997 * [backup-simplify]: Simplify (+ (* (+ (log n) (log 2.0)) 0) (+ (* 0 -1) (* 0 1.0))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log n) (log 2.0)))) (* 0 (* 1.0 (+ (log n) (log 2.0)))))) into 0 9.000 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log n) (log 2.0)))) (+ (* (/ (pow (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) 9.003 * [backup-simplify]: Simplify (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) 9.007 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) (* k 1)) (exp (* 0.5 (+ (log n) (log 2.0)))))) into (- (+ (* 0.125 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (log 2.0) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (pow (log 2.0) 2) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (pow k 2)))) (exp (* 0.5 (+ (log n) (log 2.0))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) k))) (* 0.5 (* (log 2.0) (* k (exp (* 0.5 (+ (log n) (log 2.0))))))))) 9.008 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2.0) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) 9.008 * [approximate]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.008 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in k 9.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in k 9.008 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.008 * [taylor]: Taking taylor expansion of 0.5 in k 9.008 * [backup-simplify]: Simplify 0.5 into 0.5 9.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.008 * [taylor]: Taking taylor expansion of 1.0 in k 9.008 * [backup-simplify]: Simplify 1.0 into 1.0 9.008 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.008 * [taylor]: Taking taylor expansion of k in k 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in k 9.009 * [taylor]: Taking taylor expansion of (/ 2.0 n) in k 9.009 * [taylor]: Taking taylor expansion of 2.0 in k 9.009 * [backup-simplify]: Simplify 2.0 into 2.0 9.009 * [taylor]: Taking taylor expansion of n in k 9.009 * [backup-simplify]: Simplify n into n 9.009 * [backup-simplify]: Simplify (/ 2.0 n) into (/ 2.0 n) 9.009 * [backup-simplify]: Simplify (log (/ 2.0 n)) into (log (/ 2.0 n)) 9.009 * [backup-simplify]: Simplify (- 1) into -1 9.010 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.010 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.010 * [backup-simplify]: Simplify (* -0.5 (log (/ 2.0 n))) into (* -0.5 (log (/ 2.0 n))) 9.010 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 2.0 n))))) 9.010 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in n 9.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in n 9.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.010 * [taylor]: Taking taylor expansion of 0.5 in n 9.011 * [backup-simplify]: Simplify 0.5 into 0.5 9.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.011 * [taylor]: Taking taylor expansion of 1.0 in n 9.011 * [backup-simplify]: Simplify 1.0 into 1.0 9.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.011 * [taylor]: Taking taylor expansion of k in n 9.011 * [backup-simplify]: Simplify k into k 9.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.011 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 9.011 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 9.011 * [taylor]: Taking taylor expansion of 2.0 in n 9.011 * [backup-simplify]: Simplify 2.0 into 2.0 9.011 * [taylor]: Taking taylor expansion of n in n 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 9.012 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.012 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.012 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.012 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 9.013 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log 2.0) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) 9.014 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 9.014 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in n 9.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in n 9.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.014 * [taylor]: Taking taylor expansion of 0.5 in n 9.014 * [backup-simplify]: Simplify 0.5 into 0.5 9.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.014 * [taylor]: Taking taylor expansion of 1.0 in n 9.014 * [backup-simplify]: Simplify 1.0 into 1.0 9.014 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.014 * [taylor]: Taking taylor expansion of k in n 9.014 * [backup-simplify]: Simplify k into k 9.014 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.014 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 9.014 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 9.014 * [taylor]: Taking taylor expansion of 2.0 in n 9.014 * [backup-simplify]: Simplify 2.0 into 2.0 9.014 * [taylor]: Taking taylor expansion of n in n 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.015 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 9.015 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.015 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 9.015 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 9.015 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 9.016 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 9.017 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log 2.0) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) 9.017 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 9.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) in k 9.017 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) in k 9.017 * [taylor]: Taking taylor expansion of 0.5 in k 9.017 * [backup-simplify]: Simplify 0.5 into 0.5 9.017 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))) in k 9.017 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.017 * [taylor]: Taking taylor expansion of 1.0 in k 9.017 * [backup-simplify]: Simplify 1.0 into 1.0 9.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.018 * [taylor]: Taking taylor expansion of k in k 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (/ 1 1) into 1 9.018 * [taylor]: Taking taylor expansion of (- (log 2.0) (log n)) in k 9.018 * [taylor]: Taking taylor expansion of (log 2.0) in k 9.018 * [taylor]: Taking taylor expansion of 2.0 in k 9.018 * [backup-simplify]: Simplify 2.0 into 2.0 9.018 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 9.018 * [taylor]: Taking taylor expansion of (log n) in k 9.018 * [taylor]: Taking taylor expansion of n in k 9.018 * [backup-simplify]: Simplify n into n 9.018 * [backup-simplify]: Simplify (log n) into (log n) 9.019 * [backup-simplify]: Simplify (- 1) into -1 9.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.019 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.020 * [backup-simplify]: Simplify (+ (log 2.0) (- (log n))) into (- (log 2.0) (log n)) 9.020 * [backup-simplify]: Simplify (* -1 (- (log 2.0) (log n))) into (* -1 (- (log 2.0) (log n))) 9.020 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log 2.0) (log n)))) into (* -0.5 (- (log 2.0) (log n))) 9.021 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 9.021 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 9.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.024 * [backup-simplify]: Simplify (- 0) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 9.026 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 9.026 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log 2.0) (log n)))) into 0 9.027 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 9.028 * [taylor]: Taking taylor expansion of 0 in k 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.031 * [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 9.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.032 * [backup-simplify]: Simplify (- 0) into 0 9.032 * [backup-simplify]: Simplify (+ 0 0) into 0 9.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 9.033 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 9.034 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2.0) (log n))))) into 0 9.036 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.036 * [taylor]: Taking taylor expansion of 0 in k 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.042 * [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 9.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.043 * [backup-simplify]: Simplify (- 0) into 0 9.043 * [backup-simplify]: Simplify (+ 0 0) into 0 9.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 9.045 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 9.046 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2.0) (log n)))))) into 0 9.048 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.048 * [taylor]: Taking taylor expansion of 0 in k 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log 2.0) (log (/ 1 n)))))) into (exp (* 0.5 (* (- (log 2.0) (log (/ 1 n))) (- 1.0 k)))) 9.049 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2.0) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) 9.049 * [approximate]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.049 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in k 9.049 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in k 9.049 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.049 * [taylor]: Taking taylor expansion of 0.5 in k 9.049 * [backup-simplify]: Simplify 0.5 into 0.5 9.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.049 * [taylor]: Taking taylor expansion of k in k 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.049 * [backup-simplify]: Simplify (/ 1 1) into 1 9.049 * [taylor]: Taking taylor expansion of 1.0 in k 9.049 * [backup-simplify]: Simplify 1.0 into 1.0 9.050 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in k 9.050 * [taylor]: Taking taylor expansion of (/ -2.0 n) in k 9.050 * [taylor]: Taking taylor expansion of -2.0 in k 9.050 * [backup-simplify]: Simplify -2.0 into -2.0 9.050 * [taylor]: Taking taylor expansion of n in k 9.050 * [backup-simplify]: Simplify n into n 9.050 * [backup-simplify]: Simplify (/ -2.0 n) into (/ -2.0 n) 9.050 * [backup-simplify]: Simplify (log (/ -2.0 n)) into (log (/ -2.0 n)) 9.050 * [backup-simplify]: Simplify (+ 1 0) into 1 9.051 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.051 * [backup-simplify]: Simplify (* 0.5 (log (/ -2.0 n))) into (* 0.5 (log (/ -2.0 n))) 9.051 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) into (exp (* 0.5 (* (log (/ -2.0 n)) (+ (/ 1 k) 1.0)))) 9.051 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in n 9.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in n 9.051 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.051 * [taylor]: Taking taylor expansion of 0.5 in n 9.051 * [backup-simplify]: Simplify 0.5 into 0.5 9.051 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.051 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.051 * [taylor]: Taking taylor expansion of k in n 9.051 * [backup-simplify]: Simplify k into k 9.051 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.051 * [taylor]: Taking taylor expansion of 1.0 in n 9.051 * [backup-simplify]: Simplify 1.0 into 1.0 9.051 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 9.051 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 9.051 * [taylor]: Taking taylor expansion of -2.0 in n 9.051 * [backup-simplify]: Simplify -2.0 into -2.0 9.051 * [taylor]: Taking taylor expansion of n in n 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.052 * [backup-simplify]: Simplify (/ -2.0 1) into -2.0 9.052 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 9.052 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.052 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 9.054 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -2.0) (log n))) into (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) 9.054 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 9.054 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.054 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in n 9.054 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in n 9.054 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.054 * [taylor]: Taking taylor expansion of 0.5 in n 9.054 * [backup-simplify]: Simplify 0.5 into 0.5 9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.054 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.055 * [taylor]: Taking taylor expansion of k in n 9.055 * [backup-simplify]: Simplify k into k 9.055 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 9.055 * [taylor]: Taking taylor expansion of 1.0 in n 9.055 * [backup-simplify]: Simplify 1.0 into 1.0 9.055 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 9.055 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 9.055 * [taylor]: Taking taylor expansion of -2.0 in n 9.055 * [backup-simplify]: Simplify -2.0 into -2.0 9.055 * [taylor]: Taking taylor expansion of n in n 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.055 * [backup-simplify]: Simplify (/ -2.0 1) into -2.0 9.056 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 9.056 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 9.056 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 9.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 9.057 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -2.0) (log n))) into (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) 9.058 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 9.058 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) in k 9.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) in k 9.058 * [taylor]: Taking taylor expansion of 0.5 in k 9.058 * [backup-simplify]: Simplify 0.5 into 0.5 9.058 * [taylor]: Taking taylor expansion of (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)) in k 9.058 * [taylor]: Taking taylor expansion of (- (log -2.0) (log n)) in k 9.058 * [taylor]: Taking taylor expansion of (log -2.0) in k 9.058 * [taylor]: Taking taylor expansion of -2.0 in k 9.058 * [backup-simplify]: Simplify -2.0 into -2.0 9.058 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 9.058 * [taylor]: Taking taylor expansion of (log n) in k 9.058 * [taylor]: Taking taylor expansion of n in k 9.058 * [backup-simplify]: Simplify n into n 9.058 * [backup-simplify]: Simplify (log n) into (log n) 9.058 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.058 * [taylor]: Taking taylor expansion of k in k 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.059 * [backup-simplify]: Simplify (/ 1 1) into 1 9.059 * [taylor]: Taking taylor expansion of 1.0 in k 9.059 * [backup-simplify]: Simplify 1.0 into 1.0 9.059 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 9.059 * [backup-simplify]: Simplify (+ (log -2.0) (- (log n))) into (- (log -2.0) (log n)) 9.060 * [backup-simplify]: Simplify (+ 1 0) into 1 9.060 * [backup-simplify]: Simplify (* (- (log -2.0) (log n)) 1) into (- (log -2.0) (log n)) 9.061 * [backup-simplify]: Simplify (* 0.5 (- (log -2.0) (log n))) into (* 0.5 (- (log -2.0) (log n))) 9.061 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 9.062 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 9.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)))) into 0 9.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2.0 1)))) 1) into 0 9.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 9.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 9.066 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -2.0) (log n)))) into 0 9.067 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 9.067 * [taylor]: Taking taylor expansion of 0 in k 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.071 * [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 9.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.071 * [backup-simplify]: Simplify (+ 0 0) into 0 9.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 9.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 9.074 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -2.0) (log n))))) into 0 9.076 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.076 * [taylor]: Taking taylor expansion of 0 in k 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.087 * [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 9.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 9.088 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 9.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 9.091 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2.0) (log n)))))) into 0 9.092 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 9.093 * [taylor]: Taking taylor expansion of 0 in k 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -2.0) (log (/ -1 n)))))) 9.093 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 9.094 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 9.094 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 9.094 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 9.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 9.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 9.094 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.094 * [taylor]: Taking taylor expansion of 0.5 in k 9.094 * [backup-simplify]: Simplify 0.5 into 0.5 9.094 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.094 * [taylor]: Taking taylor expansion of 1.0 in k 9.094 * [backup-simplify]: Simplify 1.0 into 1.0 9.094 * [taylor]: Taking taylor expansion of k in k 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.094 * [taylor]: Taking taylor expansion of (log PI) in k 9.094 * [taylor]: Taking taylor expansion of PI in k 9.094 * [backup-simplify]: Simplify PI into PI 9.094 * [backup-simplify]: Simplify (log PI) into (log PI) 9.095 * [backup-simplify]: Simplify (- 0) into 0 9.095 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.095 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.096 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.098 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 9.098 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 9.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 9.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 9.098 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.098 * [taylor]: Taking taylor expansion of 0.5 in k 9.098 * [backup-simplify]: Simplify 0.5 into 0.5 9.098 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.098 * [taylor]: Taking taylor expansion of 1.0 in k 9.098 * [backup-simplify]: Simplify 1.0 into 1.0 9.098 * [taylor]: Taking taylor expansion of k in k 9.098 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify 1 into 1 9.098 * [taylor]: Taking taylor expansion of (log PI) in k 9.098 * [taylor]: Taking taylor expansion of PI in k 9.098 * [backup-simplify]: Simplify PI into PI 9.099 * [backup-simplify]: Simplify (log PI) into (log PI) 9.099 * [backup-simplify]: Simplify (- 0) into 0 9.099 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.100 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.101 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.102 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 9.103 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 9.104 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.104 * [backup-simplify]: Simplify (- 1) into -1 9.105 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.106 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 9.117 * [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))) 9.120 * [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))) 9.123 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.124 * [backup-simplify]: Simplify (+ 0 0) into 0 9.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 9.137 * [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))) 9.141 * [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))) 9.149 * [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)))) 9.149 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 9.149 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 9.149 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 9.149 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 9.149 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 9.149 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.149 * [taylor]: Taking taylor expansion of 0.5 in k 9.149 * [backup-simplify]: Simplify 0.5 into 0.5 9.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.149 * [taylor]: Taking taylor expansion of 1.0 in k 9.149 * [backup-simplify]: Simplify 1.0 into 1.0 9.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.149 * [taylor]: Taking taylor expansion of k in k 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 1 into 1 9.149 * [backup-simplify]: Simplify (/ 1 1) into 1 9.150 * [taylor]: Taking taylor expansion of (log PI) in k 9.150 * [taylor]: Taking taylor expansion of PI in k 9.150 * [backup-simplify]: Simplify PI into PI 9.150 * [backup-simplify]: Simplify (log PI) into (log PI) 9.150 * [backup-simplify]: Simplify (- 1) into -1 9.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.151 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.152 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 9.152 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.152 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 9.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 9.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 9.153 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.153 * [taylor]: Taking taylor expansion of 0.5 in k 9.153 * [backup-simplify]: Simplify 0.5 into 0.5 9.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.153 * [taylor]: Taking taylor expansion of 1.0 in k 9.153 * [backup-simplify]: Simplify 1.0 into 1.0 9.153 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.153 * [taylor]: Taking taylor expansion of k in k 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (/ 1 1) into 1 9.153 * [taylor]: Taking taylor expansion of (log PI) in k 9.153 * [taylor]: Taking taylor expansion of PI in k 9.153 * [backup-simplify]: Simplify PI into PI 9.154 * [backup-simplify]: Simplify (log PI) into (log PI) 9.154 * [backup-simplify]: Simplify (- 1) into -1 9.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.155 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.156 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 9.156 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 9.158 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 9.158 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 9.158 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 9.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 9.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 9.158 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.158 * [taylor]: Taking taylor expansion of 0.5 in k 9.158 * [backup-simplify]: Simplify 0.5 into 0.5 9.158 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.158 * [taylor]: Taking taylor expansion of k in k 9.158 * [backup-simplify]: Simplify 0 into 0 9.158 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (/ 1 1) into 1 9.158 * [taylor]: Taking taylor expansion of 1.0 in k 9.158 * [backup-simplify]: Simplify 1.0 into 1.0 9.158 * [taylor]: Taking taylor expansion of (log PI) in k 9.158 * [taylor]: Taking taylor expansion of PI in k 9.158 * [backup-simplify]: Simplify PI into PI 9.159 * [backup-simplify]: Simplify (log PI) into (log PI) 9.159 * [backup-simplify]: Simplify (+ 1 0) into 1 9.160 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.160 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.161 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.161 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 9.161 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 9.161 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 9.161 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.161 * [taylor]: Taking taylor expansion of 0.5 in k 9.161 * [backup-simplify]: Simplify 0.5 into 0.5 9.161 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.161 * [taylor]: Taking taylor expansion of k in k 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.162 * [backup-simplify]: Simplify (/ 1 1) into 1 9.162 * [taylor]: Taking taylor expansion of 1.0 in k 9.162 * [backup-simplify]: Simplify 1.0 into 1.0 9.162 * [taylor]: Taking taylor expansion of (log PI) in k 9.162 * [taylor]: Taking taylor expansion of PI in k 9.162 * [backup-simplify]: Simplify PI into PI 9.162 * [backup-simplify]: Simplify (log PI) into (log PI) 9.163 * [backup-simplify]: Simplify (+ 1 0) into 1 9.163 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.164 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.164 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.165 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 9.166 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 9.166 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 9.166 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 9.166 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 9.166 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 9.166 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 9.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.166 * [taylor]: Taking taylor expansion of 0.5 in k 9.166 * [backup-simplify]: Simplify 0.5 into 0.5 9.166 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.166 * [taylor]: Taking taylor expansion of 1.0 in k 9.166 * [backup-simplify]: Simplify 1.0 into 1.0 9.166 * [taylor]: Taking taylor expansion of k in k 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (log PI) in k 9.166 * [taylor]: Taking taylor expansion of PI in k 9.166 * [backup-simplify]: Simplify PI into PI 9.167 * [backup-simplify]: Simplify (log PI) into (log PI) 9.167 * [backup-simplify]: Simplify (- 0) into 0 9.167 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.168 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.169 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.170 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 9.170 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 9.170 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 9.170 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 9.170 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.170 * [taylor]: Taking taylor expansion of 0.5 in k 9.170 * [backup-simplify]: Simplify 0.5 into 0.5 9.170 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.170 * [taylor]: Taking taylor expansion of 1.0 in k 9.170 * [backup-simplify]: Simplify 1.0 into 1.0 9.170 * [taylor]: Taking taylor expansion of k in k 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [taylor]: Taking taylor expansion of (log PI) in k 9.170 * [taylor]: Taking taylor expansion of PI in k 9.170 * [backup-simplify]: Simplify PI into PI 9.171 * [backup-simplify]: Simplify (log PI) into (log PI) 9.171 * [backup-simplify]: Simplify (- 0) into 0 9.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.172 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.173 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.174 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 9.175 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 9.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.176 * [backup-simplify]: Simplify (- 1) into -1 9.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.178 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 9.189 * [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))) 9.192 * [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))) 9.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.196 * [backup-simplify]: Simplify (+ 0 0) into 0 9.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 9.209 * [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))) 9.212 * [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))) 9.223 * [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)))) 9.223 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 9.223 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 9.223 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 9.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 9.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 9.223 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.223 * [taylor]: Taking taylor expansion of 0.5 in k 9.223 * [backup-simplify]: Simplify 0.5 into 0.5 9.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.223 * [taylor]: Taking taylor expansion of 1.0 in k 9.223 * [backup-simplify]: Simplify 1.0 into 1.0 9.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.223 * [taylor]: Taking taylor expansion of k in k 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.224 * [backup-simplify]: Simplify (/ 1 1) into 1 9.224 * [taylor]: Taking taylor expansion of (log PI) in k 9.224 * [taylor]: Taking taylor expansion of PI in k 9.224 * [backup-simplify]: Simplify PI into PI 9.224 * [backup-simplify]: Simplify (log PI) into (log PI) 9.224 * [backup-simplify]: Simplify (- 1) into -1 9.224 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.225 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.225 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 9.226 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.226 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 9.226 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 9.226 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 9.226 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.226 * [taylor]: Taking taylor expansion of 0.5 in k 9.226 * [backup-simplify]: Simplify 0.5 into 0.5 9.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.226 * [taylor]: Taking taylor expansion of 1.0 in k 9.226 * [backup-simplify]: Simplify 1.0 into 1.0 9.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.226 * [taylor]: Taking taylor expansion of k in k 9.226 * [backup-simplify]: Simplify 0 into 0 9.226 * [backup-simplify]: Simplify 1 into 1 9.226 * [backup-simplify]: Simplify (/ 1 1) into 1 9.226 * [taylor]: Taking taylor expansion of (log PI) in k 9.226 * [taylor]: Taking taylor expansion of PI in k 9.226 * [backup-simplify]: Simplify PI into PI 9.226 * [backup-simplify]: Simplify (log PI) into (log PI) 9.227 * [backup-simplify]: Simplify (- 1) into -1 9.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.227 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.228 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 9.228 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.229 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 9.229 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 9.229 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 9.229 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 9.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 9.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 9.229 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.229 * [taylor]: Taking taylor expansion of 0.5 in k 9.229 * [backup-simplify]: Simplify 0.5 into 0.5 9.229 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.229 * [taylor]: Taking taylor expansion of k in k 9.229 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify 1 into 1 9.230 * [backup-simplify]: Simplify (/ 1 1) into 1 9.230 * [taylor]: Taking taylor expansion of 1.0 in k 9.230 * [backup-simplify]: Simplify 1.0 into 1.0 9.230 * [taylor]: Taking taylor expansion of (log PI) in k 9.230 * [taylor]: Taking taylor expansion of PI in k 9.230 * [backup-simplify]: Simplify PI into PI 9.230 * [backup-simplify]: Simplify (log PI) into (log PI) 9.230 * [backup-simplify]: Simplify (+ 1 0) into 1 9.231 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.231 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.232 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.232 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 9.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 9.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 9.232 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.232 * [taylor]: Taking taylor expansion of 0.5 in k 9.232 * [backup-simplify]: Simplify 0.5 into 0.5 9.232 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.232 * [taylor]: Taking taylor expansion of k in k 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify 1 into 1 9.232 * [backup-simplify]: Simplify (/ 1 1) into 1 9.232 * [taylor]: Taking taylor expansion of 1.0 in k 9.232 * [backup-simplify]: Simplify 1.0 into 1.0 9.232 * [taylor]: Taking taylor expansion of (log PI) in k 9.232 * [taylor]: Taking taylor expansion of PI in k 9.232 * [backup-simplify]: Simplify PI into PI 9.232 * [backup-simplify]: Simplify (log PI) into (log PI) 9.233 * [backup-simplify]: Simplify (+ 1 0) into 1 9.233 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.234 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.234 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.234 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 9.235 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.235 * [backup-simplify]: Simplify (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)) into (* 1.0 (sqrt (/ (pow PI (* 0.5 (- 1.0 k))) k))) 9.235 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ (pow PI (* 0.5 (- 1.0 k))) k))) in (k) around 0 9.235 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ (pow PI (* 0.5 (- 1.0 k))) k))) in k 9.235 * [taylor]: Taking taylor expansion of 1.0 in k 9.235 * [backup-simplify]: Simplify 1.0 into 1.0 9.235 * [taylor]: Taking taylor expansion of (sqrt (/ (pow PI (* 0.5 (- 1.0 k))) k)) in k 9.235 * [taylor]: Taking taylor expansion of (/ (pow PI (* 0.5 (- 1.0 k))) k) in k 9.235 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 9.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 9.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 9.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.235 * [taylor]: Taking taylor expansion of 0.5 in k 9.235 * [backup-simplify]: Simplify 0.5 into 0.5 9.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.235 * [taylor]: Taking taylor expansion of 1.0 in k 9.235 * [backup-simplify]: Simplify 1.0 into 1.0 9.235 * [taylor]: Taking taylor expansion of k in k 9.235 * [backup-simplify]: Simplify 0 into 0 9.235 * [backup-simplify]: Simplify 1 into 1 9.235 * [taylor]: Taking taylor expansion of (log PI) in k 9.235 * [taylor]: Taking taylor expansion of PI in k 9.236 * [backup-simplify]: Simplify PI into PI 9.236 * [backup-simplify]: Simplify (log PI) into (log PI) 9.236 * [backup-simplify]: Simplify (- 0) into 0 9.237 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.237 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.237 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.238 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 9.238 * [taylor]: Taking taylor expansion of k in k 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify 1 into 1 9.239 * [backup-simplify]: Simplify (/ (pow PI 0.5) 1) into (pow (pow PI 1.0) 0.5) 9.240 * [backup-simplify]: Simplify (sqrt 0) into 0 9.241 * [backup-simplify]: Simplify (/ (pow (pow PI 1.0) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (pow (pow PI 1.0) 0.5)) 9.241 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ (pow PI (* 0.5 (- 1.0 k))) k))) in k 9.241 * [taylor]: Taking taylor expansion of 1.0 in k 9.242 * [backup-simplify]: Simplify 1.0 into 1.0 9.242 * [taylor]: Taking taylor expansion of (sqrt (/ (pow PI (* 0.5 (- 1.0 k))) k)) in k 9.242 * [taylor]: Taking taylor expansion of (/ (pow PI (* 0.5 (- 1.0 k))) k) in k 9.242 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 9.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 9.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 9.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.242 * [taylor]: Taking taylor expansion of 0.5 in k 9.242 * [backup-simplify]: Simplify 0.5 into 0.5 9.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.242 * [taylor]: Taking taylor expansion of 1.0 in k 9.242 * [backup-simplify]: Simplify 1.0 into 1.0 9.242 * [taylor]: Taking taylor expansion of k in k 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.242 * [taylor]: Taking taylor expansion of (log PI) in k 9.242 * [taylor]: Taking taylor expansion of PI in k 9.242 * [backup-simplify]: Simplify PI into PI 9.242 * [backup-simplify]: Simplify (log PI) into (log PI) 9.242 * [backup-simplify]: Simplify (- 0) into 0 9.243 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.243 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 9.244 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.245 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 9.245 * [taylor]: Taking taylor expansion of k in k 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.245 * [backup-simplify]: Simplify (/ (pow PI 0.5) 1) into (pow (pow PI 1.0) 0.5) 9.246 * [backup-simplify]: Simplify (sqrt 0) into 0 9.247 * [backup-simplify]: Simplify (/ (pow (pow PI 1.0) 0.5) (* 2 (sqrt 0))) into (* +nan.0 (pow (pow PI 1.0) 0.5)) 9.248 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.248 * [backup-simplify]: Simplify 0 into 0 9.251 * [backup-simplify]: Simplify (+ (* 1.0 (* +nan.0 (pow (pow PI 1.0) 0.5))) (* 0 0)) into (- (* +nan.0 (pow (pow PI 1.0) 0.5))) 9.253 * [backup-simplify]: Simplify (- (* +nan.0 (pow (pow PI 1.0) 0.5))) into (- (* +nan.0 (pow (pow PI 1.0) 0.5))) 9.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 9.254 * [backup-simplify]: Simplify (- 1) into -1 9.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.255 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 9.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 9.262 * [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))) 9.268 * [backup-simplify]: Simplify (- (/ (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) 1) (+ (* (pow (pow PI 1.0) 0.5) (/ 0 1)))) into (- (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) 9.282 * [backup-simplify]: Simplify (/ (- (- (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (pow (* +nan.0 (pow (pow PI 1.0) 0.5)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (pow (pow PI 1.0) 1.0))))) 9.299 * [backup-simplify]: Simplify (+ (* 1.0 (* +nan.0 (+ (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (pow (pow PI 1.0) 1.0)))))) (+ (* 0 (* +nan.0 (pow (pow PI 1.0) 0.5))) (* 0 0))) into (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 PI)))) 9.308 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 PI)))) into (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 PI)))) 9.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 9.311 * [backup-simplify]: Simplify (- 0) into 0 9.312 * [backup-simplify]: Simplify (+ 0 0) into 0 9.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 9.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 9.326 * [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))) 9.343 * [backup-simplify]: Simplify (- (/ (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 1) (+ (* (pow (pow PI 1.0) 0.5) (/ 0 1)) (* (- (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (/ 0 1)))) into (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) 9.363 * [backup-simplify]: Simplify (/ (- (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (+ (* 2 (* (* +nan.0 (pow (pow PI 1.0) 0.5)) (* +nan.0 (+ (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (pow (pow PI 1.0) 1.0))))))))) (* 2 0)) into (* +nan.0 (- (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (+ (* +nan.0 (pow (pow PI 3.0) 0.5)) (- (* +nan.0 (* (log PI) PI)))))) 9.387 * [backup-simplify]: Simplify (+ (* 1.0 (* +nan.0 (- (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))) (+ (* +nan.0 (pow (pow PI 3.0) 0.5)) (- (* +nan.0 (* (log PI) PI))))))) (+ (* 0 (* +nan.0 (+ (* 0.5 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 (pow (pow PI 1.0) 1.0)))))) (+ (* 0 (* +nan.0 (pow (pow PI 1.0) 0.5))) (* 0 0)))) into (- (+ (* +nan.0 (pow (pow PI 3.0) 0.5)) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) 9.407 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (pow PI 3.0) 0.5)) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) into (- (+ (* +nan.0 (pow (pow PI 3.0) 0.5)) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) 9.426 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (pow (pow PI 3.0) 0.5)) (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log PI) (pow (pow PI 1.0) 0.5))) (- (* +nan.0 PI)))) k) (- (* +nan.0 (pow (pow PI 1.0) 0.5))))) into (- (+ (* +nan.0 (* PI k)) (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log PI) k) (pow (pow PI 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow PI 3.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (log PI) (* PI (pow k 2)))) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))))))))))))) 9.426 * [backup-simplify]: Simplify (/ (* (sqrt (pow PI (/ (- 1.0 (/ 1 k)) 2.0))) 1.0) (sqrt (/ 1 k))) into (* 1.0 (sqrt (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k))) 9.426 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k))) in (k) around 0 9.426 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k))) in k 9.426 * [taylor]: Taking taylor expansion of 1.0 in k 9.426 * [backup-simplify]: Simplify 1.0 into 1.0 9.426 * [taylor]: Taking taylor expansion of (sqrt (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k)) in k 9.426 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k) in k 9.426 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 9.426 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 9.426 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 9.426 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.426 * [taylor]: Taking taylor expansion of 0.5 in k 9.426 * [backup-simplify]: Simplify 0.5 into 0.5 9.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.426 * [taylor]: Taking taylor expansion of 1.0 in k 9.426 * [backup-simplify]: Simplify 1.0 into 1.0 9.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.426 * [taylor]: Taking taylor expansion of k in k 9.426 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.427 * [backup-simplify]: Simplify (/ 1 1) into 1 9.427 * [taylor]: Taking taylor expansion of (log PI) in k 9.427 * [taylor]: Taking taylor expansion of PI in k 9.427 * [backup-simplify]: Simplify PI into PI 9.427 * [backup-simplify]: Simplify (log PI) into (log PI) 9.427 * [backup-simplify]: Simplify (- 1) into -1 9.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.428 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.428 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 9.429 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.429 * [taylor]: Taking taylor expansion of k in k 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) into 0 9.430 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 1) (* 0 0)) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.430 * [backup-simplify]: Simplify (sqrt 0) into 0 9.431 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* 2 (sqrt 0))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 9.431 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k))) in k 9.431 * [taylor]: Taking taylor expansion of 1.0 in k 9.431 * [backup-simplify]: Simplify 1.0 into 1.0 9.431 * [taylor]: Taking taylor expansion of (sqrt (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k)) in k 9.431 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) k) in k 9.431 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 9.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 9.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 9.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.431 * [taylor]: Taking taylor expansion of 0.5 in k 9.431 * [backup-simplify]: Simplify 0.5 into 0.5 9.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.431 * [taylor]: Taking taylor expansion of 1.0 in k 9.431 * [backup-simplify]: Simplify 1.0 into 1.0 9.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.431 * [taylor]: Taking taylor expansion of k in k 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 1 into 1 9.431 * [backup-simplify]: Simplify (/ 1 1) into 1 9.431 * [taylor]: Taking taylor expansion of (log PI) in k 9.431 * [taylor]: Taking taylor expansion of PI in k 9.431 * [backup-simplify]: Simplify PI into PI 9.431 * [backup-simplify]: Simplify (log PI) into (log PI) 9.432 * [backup-simplify]: Simplify (- 1) into -1 9.432 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.432 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 9.433 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 9.433 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.433 * [taylor]: Taking taylor expansion of k in k 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 1 into 1 9.439 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) into 0 9.440 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 1) (* 0 0)) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 9.440 * [backup-simplify]: Simplify (sqrt 0) into 0 9.442 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* 2 (sqrt 0))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 9.442 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.442 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify (+ (* 1.0 (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 9.444 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) 9.445 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 1) (* 0 0))) into 0 9.447 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 2) (+)) (* 2 0)) into (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2)) 9.449 * [backup-simplify]: Simplify (+ (* 1.0 (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2))) (+ (* 0 (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) (* 0 0))) into (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2))) 9.450 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2))) into (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2))) 9.451 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2)))))) (* 2 0)) into (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 3)) 9.456 * [backup-simplify]: Simplify (+ (* 1.0 (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 3))) (+ (* 0 (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 2))) (+ (* 0 (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) (* 0 0)))) into (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 3))) 9.457 * [backup-simplify]: Simplify (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 3))) into (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 3))) 9.460 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) 3))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) 2))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (pow (exp (* 0.5 (* (- 1.0 k) (log PI)))) 3) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* 0.5 (* (- 1.0 k) (log PI)))) 2) (pow k 2)))))))) 9.460 * [backup-simplify]: Simplify (/ (* (sqrt (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0))) 1.0) (sqrt (/ 1 (- k)))) into (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0)))))) 9.460 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0)))))) in (k) around 0 9.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0)))))) in k 9.460 * [taylor]: Taking taylor expansion of 1.0 in k 9.460 * [backup-simplify]: Simplify 1.0 into 1.0 9.460 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 9.460 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.460 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.460 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.460 * [taylor]: Taking taylor expansion of -1 in k 9.460 * [backup-simplify]: Simplify -1 into -1 9.460 * [taylor]: Taking taylor expansion of k in k 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 1 into 1 9.461 * [backup-simplify]: Simplify (/ -1 1) into -1 9.461 * [backup-simplify]: Simplify (sqrt 0) into 0 9.463 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.464 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.464 * [taylor]: Taking taylor expansion of (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 9.464 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 9.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 9.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 9.464 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.464 * [taylor]: Taking taylor expansion of 0.5 in k 9.464 * [backup-simplify]: Simplify 0.5 into 0.5 9.464 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.464 * [taylor]: Taking taylor expansion of k in k 9.464 * [backup-simplify]: Simplify 0 into 0 9.464 * [backup-simplify]: Simplify 1 into 1 9.464 * [backup-simplify]: Simplify (/ 1 1) into 1 9.465 * [taylor]: Taking taylor expansion of 1.0 in k 9.465 * [backup-simplify]: Simplify 1.0 into 1.0 9.465 * [taylor]: Taking taylor expansion of (log PI) in k 9.465 * [taylor]: Taking taylor expansion of PI in k 9.465 * [backup-simplify]: Simplify PI into PI 9.465 * [backup-simplify]: Simplify (log PI) into (log PI) 9.466 * [backup-simplify]: Simplify (+ 1 0) into 1 9.466 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.467 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.468 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.468 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) into (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 9.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into 0 9.469 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0)))))) in k 9.469 * [taylor]: Taking taylor expansion of 1.0 in k 9.469 * [backup-simplify]: Simplify 1.0 into 1.0 9.469 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 9.469 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.469 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.469 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.469 * [taylor]: Taking taylor expansion of -1 in k 9.469 * [backup-simplify]: Simplify -1 into -1 9.469 * [taylor]: Taking taylor expansion of k in k 9.469 * [backup-simplify]: Simplify 0 into 0 9.469 * [backup-simplify]: Simplify 1 into 1 9.470 * [backup-simplify]: Simplify (/ -1 1) into -1 9.470 * [backup-simplify]: Simplify (sqrt 0) into 0 9.472 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.472 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.472 * [taylor]: Taking taylor expansion of (sqrt (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 9.472 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 9.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 9.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 9.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.472 * [taylor]: Taking taylor expansion of 0.5 in k 9.472 * [backup-simplify]: Simplify 0.5 into 0.5 9.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.472 * [taylor]: Taking taylor expansion of k in k 9.472 * [backup-simplify]: Simplify 0 into 0 9.472 * [backup-simplify]: Simplify 1 into 1 9.473 * [backup-simplify]: Simplify (/ 1 1) into 1 9.473 * [taylor]: Taking taylor expansion of 1.0 in k 9.473 * [backup-simplify]: Simplify 1.0 into 1.0 9.473 * [taylor]: Taking taylor expansion of (log PI) in k 9.473 * [taylor]: Taking taylor expansion of PI in k 9.473 * [backup-simplify]: Simplify PI into PI 9.473 * [backup-simplify]: Simplify (log PI) into (log PI) 9.474 * [backup-simplify]: Simplify (+ 1 0) into 1 9.474 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.475 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 9.476 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 9.476 * [backup-simplify]: Simplify (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) into (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 9.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into 0 9.478 * [backup-simplify]: Simplify (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 9.479 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 9.479 * [backup-simplify]: Simplify (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) 9.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.483 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.485 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* (- +nan.0) (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) 9.488 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) 9.489 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) 9.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into 0 9.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.499 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.501 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) 9.503 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) 9.504 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) 9.507 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (sqrt (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (sqrt (exp (* 0.5 (* (- 1.0 k) (log PI))))) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (sqrt (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (* +nan.0 (* (sqrt (exp (* 0.5 (* (- 1.0 k) (log PI))))) (/ 1 k)))))))) 9.507 * * * [progress]: simplifying candidates 9.511 * [simplify]: Simplifying: (* (+ (log n) (log 2.0)) (/ (- 1.0 k) 2.0)) (* (log (* n 2.0)) (/ (- 1.0 k) 2.0)) (* (log (* n 2.0)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ 1.0 2.0)) (pow (* n 2.0) (/ k 2.0)) (pow (* n 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) 1)) (pow (* n 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (pow (* n 2.0) (/ 1 1)) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* n 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (pow (* n 2.0) (/ 1 1)) (pow (* n 2.0) 1) (pow (* n 2.0) (- 1.0 k)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (log (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (exp (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (* (pow (* n 2.0) (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (* (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)) (* (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)) (- (+ (log (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (log 1.0)) (log (sqrt k))) (- (log (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0)) (log (sqrt k))) (log (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (exp (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (/ (* (* (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (* 1.0 1.0) 1.0)) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0)) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0)) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (cbrt (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)))) (cbrt (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (* (* (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (sqrt (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (sqrt (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt k))) (- (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0)) (- (sqrt k)) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ 1.0 (sqrt k)) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0)) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt 1)) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) 1.0) 1) (/ (sqrt k) 1.0) (* (sqrt k) (sqrt (pow PI (/ k 2.0)))) (- (+ (* 0.125 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (log 2.0) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (pow (log 2.0) 2) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (pow k 2)))) (exp (* 0.5 (+ (log n) (log 2.0))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) k))) (* 0.5 (* (log 2.0) (* k (exp (* 0.5 (+ (log n) (log 2.0))))))))) (exp (* 0.5 (* (- (log 2.0) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log -2.0) (log (/ -1 n)))))) (- (+ (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)))) (- (+ (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 (* PI k)) (- (+ (* +nan.0 (pow (pow PI 1.0) 0.5)) (- (+ (* +nan.0 (* (* (log PI) k) (pow (pow PI 1.0) 0.5))) (- (+ (* +nan.0 (* (pow (pow PI 3.0) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (log PI) (* PI (pow k 2)))) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (pow (pow PI 1.0) 0.5)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (pow (exp (* 0.5 (* (- 1.0 k) (log PI)))) 3) (pow k 3))) (- (* +nan.0 (/ (pow (exp (* 0.5 (* (- 1.0 k) (log PI)))) 2) (pow k 2)))))))) (- (+ (* +nan.0 (* (sqrt (exp (* 0.5 (* (- 1.0 k) (log PI))))) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (sqrt (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (* +nan.0 (* (sqrt (exp (* 0.5 (* (- 1.0 k) (log PI))))) (/ 1 k)))))))) 9.516 * * [simplify]: iteration 0: 277 enodes 9.630 * * [simplify]: iteration 1: 799 enodes 10.043 * * [simplify]: iteration 2: 3354 enodes 10.929 * * [simplify]: iteration complete: 5002 enodes 10.930 * * [simplify]: Extracting #0: cost 88 inf + 0 10.931 * * [simplify]: Extracting #1: cost 615 inf + 2 10.935 * * [simplify]: Extracting #2: cost 1455 inf + 107 10.941 * * [simplify]: Extracting #3: cost 1510 inf + 1922 10.949 * * [simplify]: Extracting #4: cost 996 inf + 9623 10.962 * * [simplify]: Extracting #5: cost 459 inf + 18021 10.975 * * [simplify]: Extracting #6: cost 134 inf + 21948 10.983 * * [simplify]: Extracting #7: cost 61 inf + 22819 10.993 * * [simplify]: Extracting #8: cost 44 inf + 22971 11.005 * * [simplify]: Extracting #9: cost 20 inf + 23277 11.013 * * [simplify]: Extracting #10: cost 1 inf + 23890 11.020 * * [simplify]: Extracting #11: cost 0 inf + 23955 11.029 * [simplify]: Simplified to: (/ (* (log (* n 2.0)) (- 1.0 k)) 2.0) (/ (* (log (* n 2.0)) (- 1.0 k)) 2.0) (/ (* (log (* n 2.0)) (- 1.0 k)) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n 2.0) (/ 1.0 2.0)) (pow (* n 2.0) (/ k 2.0)) (pow (* n 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (cbrt (- 1.0 k)) (/ (* (cbrt 2.0) (cbrt 2.0)) (cbrt (- 1.0 k))))) (pow (* n 2.0) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow (* n 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n 2.0) (sqrt (- 1.0 k))) (pow (* n 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (* n 2.0) (pow (* n 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* n 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (* n 2.0) (* n 2.0) (pow (* n 2.0) (- 1.0 k)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (log (* n 2.0)) (- 1.0 k)) 2.0) (exp (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (pow (* n 2.0) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (- 1.0 k) (* 2.0 2))) (pow (* n 2.0) (/ (- 1.0 k) (* 2.0 2))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 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)) (/ (- 1.0 k) (/ 2.0 (log PI))) (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))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 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)) (/ (- 1.0 k) (/ 2.0 (log PI))) (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))) (log (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (log (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (log (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (exp (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (/ (pow (* 1.0 (sqrt (pow PI (/ (- 1.0 k) 2.0)))) 3) (* k (sqrt k))) (/ (pow (* 1.0 (sqrt (pow PI (/ (- 1.0 k) 2.0)))) 3) (* k (sqrt k))) (* (cbrt (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (cbrt (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0)))) (cbrt (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (pow (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0)) 3) (sqrt (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (sqrt (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0))) (* (- 1.0) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (/ (sqrt k) 1.0) (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (fabs (cbrt k)) 1.0)) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0)) (* 1.0 (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (/ (sqrt (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0)) (* 1.0 (sqrt (pow PI (/ (- 1.0 k) 2.0)))) (/ (sqrt k) 1.0) (* (sqrt (pow PI (/ k 2.0))) (sqrt k)) (+ (+ (+ (pow (* n 2.0) 0.5) (* (* (pow (* n 2.0) 0.5) (* k k)) (* 0.125 (pow (log 2.0) 2)))) (* (* (* 0.25 (log 2.0)) (pow (* n 2.0) 0.5)) (* (log n) (* k k)))) (- (* 0.125 (* (pow (log n) 2) (* (pow (* n 2.0) 0.5) (* k k)))) (* (* (pow (* n 2.0) 0.5) (+ (* k (log n)) (* (log 2.0) k))) 0.5))) (pow (pow (* n 2.0) 0.5) (- 1.0 k)) (pow (exp (- (log -2.0) (log (/ -1 n)))) (* 0.5 (- 1.0 k))) (+ (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow (log PI) 2) (* k k))) (* 0.5 (* (log PI) k)))) (pow PI 0.5)) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (+ (* (pow (pow PI 1.0) 0.5) (- (* 0.125 (* (pow (log PI) 2) (* k k))) (* 0.5 (* (log PI) k)))) (pow PI 0.5)) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (+ (* (- (* PI k)) +nan.0) (- (* (pow (pow PI 1.0) 0.5) +nan.0) (- (* (pow (pow PI 1.0) 0.5) (* (* (log PI) k) +nan.0)) (- (* (* +nan.0 (* k k)) (pow (pow PI 3.0) 0.5)) (* +nan.0 (- (* (* (log PI) (* k k)) PI) (* (* k k) (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5))))))))) (- (- (/ (* +nan.0 (pow (pow PI (- 1.0 k)) 0.5)) k) (* +nan.0 (- (/ (pow (pow (pow PI (- 1.0 k)) 0.5) 3) (pow k 3)) (/ (/ (pow (pow (pow PI (- 1.0 k)) 0.5) 2) k) k))))) (- (- (* (/ (/ (sqrt (pow (pow PI (- 1.0 k)) 0.5)) k) k) +nan.0) (* +nan.0 (- (sqrt (pow (pow PI (- 1.0 k)) 0.5)) (/ (sqrt (pow (pow PI (- 1.0 k)) 0.5)) k))))) 11.031 * * * [progress]: adding candidates to table 12.112 * * [progress]: iteration 4 / 4 12.112 * * * [progress]: picking best candidate 12.146 * * * * [pick]: Picked # 12.146 * * * [progress]: localizing error 12.223 * * * [progress]: generating rewritten candidates 12.223 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 12.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2) 12.243 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 12.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 12.274 * * * [progress]: generating series expansions 12.274 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 12.274 * [backup-simplify]: Simplify (pow (* n 2.0) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 n) (* 0.5 (- 1.0 k))) 12.274 * [approximate]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in (n k) around 0 12.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in k 12.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in k 12.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in k 12.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.274 * [taylor]: Taking taylor expansion of 0.5 in k 12.274 * [backup-simplify]: Simplify 0.5 into 0.5 12.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.274 * [taylor]: Taking taylor expansion of 1.0 in k 12.274 * [backup-simplify]: Simplify 1.0 into 1.0 12.274 * [taylor]: Taking taylor expansion of k in k 12.274 * [backup-simplify]: Simplify 0 into 0 12.274 * [backup-simplify]: Simplify 1 into 1 12.274 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in k 12.274 * [taylor]: Taking taylor expansion of (* 2.0 n) in k 12.274 * [taylor]: Taking taylor expansion of 2.0 in k 12.274 * [backup-simplify]: Simplify 2.0 into 2.0 12.274 * [taylor]: Taking taylor expansion of n in k 12.275 * [backup-simplify]: Simplify n into n 12.275 * [backup-simplify]: Simplify (* 2.0 n) into (* 2.0 n) 12.275 * [backup-simplify]: Simplify (log (* 2.0 n)) into (log (* 2.0 n)) 12.275 * [backup-simplify]: Simplify (- 0) into 0 12.276 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.276 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.276 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 n))) into (* 0.5 (log (* 2.0 n))) 12.277 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 n)))) into (pow (* 2.0 n) 0.5) 12.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in n 12.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in n 12.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in n 12.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.277 * [taylor]: Taking taylor expansion of 0.5 in n 12.277 * [backup-simplify]: Simplify 0.5 into 0.5 12.277 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.277 * [taylor]: Taking taylor expansion of 1.0 in n 12.277 * [backup-simplify]: Simplify 1.0 into 1.0 12.277 * [taylor]: Taking taylor expansion of k in n 12.277 * [backup-simplify]: Simplify k into k 12.277 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 12.277 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 12.277 * [taylor]: Taking taylor expansion of 2.0 in n 12.277 * [backup-simplify]: Simplify 2.0 into 2.0 12.277 * [taylor]: Taking taylor expansion of n in n 12.277 * [backup-simplify]: Simplify 0 into 0 12.277 * [backup-simplify]: Simplify 1 into 1 12.278 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.279 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 12.280 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.280 * [backup-simplify]: Simplify (- k) into (- k) 12.280 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.280 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 12.281 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log n) (log 2.0))) into (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) 12.282 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) into (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) 12.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 (- 1.0 k))) in n 12.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 n)))) in n 12.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 n))) in n 12.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.282 * [taylor]: Taking taylor expansion of 0.5 in n 12.282 * [backup-simplify]: Simplify 0.5 into 0.5 12.282 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.282 * [taylor]: Taking taylor expansion of 1.0 in n 12.282 * [backup-simplify]: Simplify 1.0 into 1.0 12.282 * [taylor]: Taking taylor expansion of k in n 12.282 * [backup-simplify]: Simplify k into k 12.282 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 12.282 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 12.282 * [taylor]: Taking taylor expansion of 2.0 in n 12.282 * [backup-simplify]: Simplify 2.0 into 2.0 12.282 * [taylor]: Taking taylor expansion of n in n 12.282 * [backup-simplify]: Simplify 0 into 0 12.282 * [backup-simplify]: Simplify 1 into 1 12.283 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.284 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 12.285 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.285 * [backup-simplify]: Simplify (- k) into (- k) 12.285 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.285 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.286 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 12.286 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log n) (log 2.0))) into (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) 12.287 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) into (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) 12.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) in k 12.287 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k))) in k 12.287 * [taylor]: Taking taylor expansion of 0.5 in k 12.287 * [backup-simplify]: Simplify 0.5 into 0.5 12.287 * [taylor]: Taking taylor expansion of (* (+ (log n) (log 2.0)) (- 1.0 k)) in k 12.287 * [taylor]: Taking taylor expansion of (+ (log n) (log 2.0)) in k 12.287 * [taylor]: Taking taylor expansion of (log n) in k 12.287 * [taylor]: Taking taylor expansion of n in k 12.287 * [backup-simplify]: Simplify n into n 12.287 * [backup-simplify]: Simplify (log n) into (log n) 12.287 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.287 * [taylor]: Taking taylor expansion of 2.0 in k 12.287 * [backup-simplify]: Simplify 2.0 into 2.0 12.288 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.288 * [taylor]: Taking taylor expansion of 1.0 in k 12.288 * [backup-simplify]: Simplify 1.0 into 1.0 12.288 * [taylor]: Taking taylor expansion of k in k 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (+ (log n) (log 2.0)) into (+ (log n) (log 2.0)) 12.289 * [backup-simplify]: Simplify (- 0) into 0 12.289 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.290 * [backup-simplify]: Simplify (* (+ (log n) (log 2.0)) 1.0) into (* 1.0 (+ (log n) (log 2.0))) 12.290 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log n) (log 2.0)))) into (* 0.5 (+ (log n) (log 2.0))) 12.291 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log n) (log 2.0)))) into (exp (* 0.5 (+ (log n) (log 2.0)))) 12.291 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log n) (log 2.0)))) into (exp (* 0.5 (+ (log n) (log 2.0)))) 12.292 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 12.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.295 * [backup-simplify]: Simplify (- 0) into 0 12.295 * [backup-simplify]: Simplify (+ 0 0) into 0 12.296 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.296 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 12.297 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log n) (log 2.0)))) into 0 12.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.298 * [taylor]: Taking taylor expansion of 0 in k 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify 0 into 0 12.299 * [backup-simplify]: Simplify (- 1) into -1 12.299 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.301 * [backup-simplify]: Simplify (+ 0 0) into 0 12.302 * [backup-simplify]: Simplify (+ (* (+ (log n) (log 2.0)) -1) (* 0 1.0)) into (- (+ (log n) (log 2.0))) 12.302 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log n) (log 2.0)))) (* 0 (* 1.0 (+ (log n) (log 2.0))))) into (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 12.303 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log n) (log 2.0)))) (+ (* (/ (pow (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) 12.304 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) into (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) 12.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.307 * [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 12.307 * [backup-simplify]: Simplify (- 0) into 0 12.307 * [backup-simplify]: Simplify (+ 0 0) into 0 12.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.308 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2.0)) into (+ (log n) (log 2.0)) 12.309 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log 2.0))))) into 0 12.310 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (log n) (log 2.0)) (- 1.0 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.310 * [taylor]: Taking taylor expansion of 0 in k 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify 0 into 0 12.310 * [backup-simplify]: Simplify (- 0) into 0 12.311 * [backup-simplify]: Simplify (+ 0 0) into 0 12.312 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.317 * [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 12.318 * [backup-simplify]: Simplify (+ 0 0) into 0 12.319 * [backup-simplify]: Simplify (+ (* (+ (log n) (log 2.0)) 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log n) (log 2.0)))) (* 0 (* 1.0 (+ (log n) (log 2.0)))))) into 0 12.321 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log n) (log 2.0)))) (+ (* (/ (pow (- (+ (* 0.5 (log n)) (* 0.5 (log 2.0)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) 12.323 * [backup-simplify]: Simplify (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) 12.326 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log 2.0) 2)) (* 0.25 (* (log n) (log 2.0))))) (exp (* 0.5 (+ (log n) (log 2.0))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log n)) (* 0.5 (log 2.0))) (exp (* 0.5 (+ (log n) (log 2.0)))))) (* k 1)) (exp (* 0.5 (+ (log n) (log 2.0)))))) into (- (+ (* 0.125 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (log 2.0) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (pow (log 2.0) 2) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (pow k 2)))) (exp (* 0.5 (+ (log n) (log 2.0))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) k))) (* 0.5 (* (log 2.0) (* k (exp (* 0.5 (+ (log n) (log 2.0))))))))) 12.326 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2.0) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) 12.326 * [approximate]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.326 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in k 12.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in k 12.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.326 * [taylor]: Taking taylor expansion of 0.5 in k 12.326 * [backup-simplify]: Simplify 0.5 into 0.5 12.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.327 * [taylor]: Taking taylor expansion of 1.0 in k 12.327 * [backup-simplify]: Simplify 1.0 into 1.0 12.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.327 * [taylor]: Taking taylor expansion of k in k 12.327 * [backup-simplify]: Simplify 0 into 0 12.327 * [backup-simplify]: Simplify 1 into 1 12.327 * [backup-simplify]: Simplify (/ 1 1) into 1 12.327 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in k 12.327 * [taylor]: Taking taylor expansion of (/ 2.0 n) in k 12.327 * [taylor]: Taking taylor expansion of 2.0 in k 12.327 * [backup-simplify]: Simplify 2.0 into 2.0 12.327 * [taylor]: Taking taylor expansion of n in k 12.327 * [backup-simplify]: Simplify n into n 12.327 * [backup-simplify]: Simplify (/ 2.0 n) into (/ 2.0 n) 12.327 * [backup-simplify]: Simplify (log (/ 2.0 n)) into (log (/ 2.0 n)) 12.327 * [backup-simplify]: Simplify (- 1) into -1 12.328 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.328 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.328 * [backup-simplify]: Simplify (* -0.5 (log (/ 2.0 n))) into (* -0.5 (log (/ 2.0 n))) 12.328 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ 2.0 n))))) 12.328 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in n 12.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in n 12.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.328 * [taylor]: Taking taylor expansion of 0.5 in n 12.328 * [backup-simplify]: Simplify 0.5 into 0.5 12.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.328 * [taylor]: Taking taylor expansion of 1.0 in n 12.328 * [backup-simplify]: Simplify 1.0 into 1.0 12.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.328 * [taylor]: Taking taylor expansion of k in n 12.328 * [backup-simplify]: Simplify k into k 12.328 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.328 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 12.328 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 12.328 * [taylor]: Taking taylor expansion of 2.0 in n 12.328 * [backup-simplify]: Simplify 2.0 into 2.0 12.328 * [taylor]: Taking taylor expansion of n in n 12.328 * [backup-simplify]: Simplify 0 into 0 12.328 * [backup-simplify]: Simplify 1 into 1 12.329 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 12.329 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.329 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.329 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.329 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.330 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 12.330 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log 2.0) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) 12.330 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 12.330 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n)))) in n 12.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 2.0 n))) in n 12.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.331 * [taylor]: Taking taylor expansion of 0.5 in n 12.331 * [backup-simplify]: Simplify 0.5 into 0.5 12.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.331 * [taylor]: Taking taylor expansion of 1.0 in n 12.331 * [backup-simplify]: Simplify 1.0 into 1.0 12.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.331 * [taylor]: Taking taylor expansion of k in n 12.331 * [backup-simplify]: Simplify k into k 12.331 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.331 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 12.331 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 12.331 * [taylor]: Taking taylor expansion of 2.0 in n 12.331 * [backup-simplify]: Simplify 2.0 into 2.0 12.331 * [taylor]: Taking taylor expansion of n in n 12.331 * [backup-simplify]: Simplify 0 into 0 12.331 * [backup-simplify]: Simplify 1 into 1 12.331 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 12.331 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.331 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.331 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.331 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 12.332 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log 2.0) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) 12.333 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 12.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) in k 12.333 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n)))) in k 12.333 * [taylor]: Taking taylor expansion of 0.5 in k 12.333 * [backup-simplify]: Simplify 0.5 into 0.5 12.333 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))) in k 12.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.333 * [taylor]: Taking taylor expansion of 1.0 in k 12.333 * [backup-simplify]: Simplify 1.0 into 1.0 12.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.333 * [taylor]: Taking taylor expansion of k in k 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 1 into 1 12.333 * [backup-simplify]: Simplify (/ 1 1) into 1 12.333 * [taylor]: Taking taylor expansion of (- (log 2.0) (log n)) in k 12.333 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.333 * [taylor]: Taking taylor expansion of 2.0 in k 12.333 * [backup-simplify]: Simplify 2.0 into 2.0 12.334 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.334 * [taylor]: Taking taylor expansion of (log n) in k 12.334 * [taylor]: Taking taylor expansion of n in k 12.334 * [backup-simplify]: Simplify n into n 12.334 * [backup-simplify]: Simplify (log n) into (log n) 12.334 * [backup-simplify]: Simplify (- 1) into -1 12.334 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.334 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.334 * [backup-simplify]: Simplify (+ (log 2.0) (- (log n))) into (- (log 2.0) (log n)) 12.335 * [backup-simplify]: Simplify (* -1 (- (log 2.0) (log n))) into (* -1 (- (log 2.0) (log n))) 12.335 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log 2.0) (log n)))) into (* -0.5 (- (log 2.0) (log n))) 12.335 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 12.336 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) 12.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 12.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.338 * [backup-simplify]: Simplify (- 0) into 0 12.338 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 12.339 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log 2.0) (log n)))) into 0 12.340 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.340 * [taylor]: Taking taylor expansion of 0 in k 12.340 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify 0 into 0 12.340 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.342 * [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 12.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.343 * [backup-simplify]: Simplify (- 0) into 0 12.343 * [backup-simplify]: Simplify (+ 0 0) into 0 12.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 12.346 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2.0) (log n))))) into 0 12.348 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.348 * [taylor]: Taking taylor expansion of 0 in k 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 0 into 0 12.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.355 * [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 12.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.355 * [backup-simplify]: Simplify (- 0) into 0 12.356 * [backup-simplify]: Simplify (+ 0 0) into 0 12.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2.0)) into (- (log 2.0) (log n)) 12.359 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2.0) (log n)))))) into 0 12.361 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log 2.0) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.361 * [taylor]: Taking taylor expansion of 0 in k 12.361 * [backup-simplify]: Simplify 0 into 0 12.361 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log 2.0) (log (/ 1 n)))))) into (exp (* 0.5 (* (- (log 2.0) (log (/ 1 n))) (- 1.0 k)))) 12.362 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2.0) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) 12.363 * [approximate]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.363 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in k 12.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in k 12.363 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.363 * [taylor]: Taking taylor expansion of 0.5 in k 12.363 * [backup-simplify]: Simplify 0.5 into 0.5 12.363 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.363 * [taylor]: Taking taylor expansion of k in k 12.363 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify 1 into 1 12.363 * [backup-simplify]: Simplify (/ 1 1) into 1 12.363 * [taylor]: Taking taylor expansion of 1.0 in k 12.363 * [backup-simplify]: Simplify 1.0 into 1.0 12.363 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in k 12.363 * [taylor]: Taking taylor expansion of (/ -2.0 n) in k 12.363 * [taylor]: Taking taylor expansion of -2.0 in k 12.363 * [backup-simplify]: Simplify -2.0 into -2.0 12.363 * [taylor]: Taking taylor expansion of n in k 12.364 * [backup-simplify]: Simplify n into n 12.364 * [backup-simplify]: Simplify (/ -2.0 n) into (/ -2.0 n) 12.364 * [backup-simplify]: Simplify (log (/ -2.0 n)) into (log (/ -2.0 n)) 12.364 * [backup-simplify]: Simplify (+ 1 0) into 1 12.365 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.365 * [backup-simplify]: Simplify (* 0.5 (log (/ -2.0 n))) into (* 0.5 (log (/ -2.0 n))) 12.365 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) into (exp (* 0.5 (* (log (/ -2.0 n)) (+ (/ 1 k) 1.0)))) 12.365 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in n 12.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in n 12.365 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.365 * [taylor]: Taking taylor expansion of 0.5 in n 12.365 * [backup-simplify]: Simplify 0.5 into 0.5 12.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.365 * [taylor]: Taking taylor expansion of k in n 12.365 * [backup-simplify]: Simplify k into k 12.365 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.365 * [taylor]: Taking taylor expansion of 1.0 in n 12.365 * [backup-simplify]: Simplify 1.0 into 1.0 12.365 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 12.365 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 12.365 * [taylor]: Taking taylor expansion of -2.0 in n 12.366 * [backup-simplify]: Simplify -2.0 into -2.0 12.366 * [taylor]: Taking taylor expansion of n in n 12.366 * [backup-simplify]: Simplify 0 into 0 12.366 * [backup-simplify]: Simplify 1 into 1 12.366 * [backup-simplify]: Simplify (/ -2.0 1) into -2.0 12.366 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 12.367 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.367 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 12.368 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -2.0) (log n))) into (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) 12.369 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 12.369 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n)))) in n 12.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -2.0 n))) in n 12.369 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.369 * [taylor]: Taking taylor expansion of 0.5 in n 12.369 * [backup-simplify]: Simplify 0.5 into 0.5 12.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.369 * [taylor]: Taking taylor expansion of k in n 12.369 * [backup-simplify]: Simplify k into k 12.369 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.369 * [taylor]: Taking taylor expansion of 1.0 in n 12.369 * [backup-simplify]: Simplify 1.0 into 1.0 12.369 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 12.369 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 12.369 * [taylor]: Taking taylor expansion of -2.0 in n 12.369 * [backup-simplify]: Simplify -2.0 into -2.0 12.369 * [taylor]: Taking taylor expansion of n in n 12.369 * [backup-simplify]: Simplify 0 into 0 12.369 * [backup-simplify]: Simplify 1 into 1 12.370 * [backup-simplify]: Simplify (/ -2.0 1) into -2.0 12.370 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 12.370 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.370 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 12.372 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -2.0) (log n))) into (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) 12.372 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 12.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) in k 12.372 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0))) in k 12.372 * [taylor]: Taking taylor expansion of 0.5 in k 12.372 * [backup-simplify]: Simplify 0.5 into 0.5 12.373 * [taylor]: Taking taylor expansion of (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)) in k 12.373 * [taylor]: Taking taylor expansion of (- (log -2.0) (log n)) in k 12.373 * [taylor]: Taking taylor expansion of (log -2.0) in k 12.373 * [taylor]: Taking taylor expansion of -2.0 in k 12.373 * [backup-simplify]: Simplify -2.0 into -2.0 12.373 * [backup-simplify]: Simplify (log -2.0) into (log -2.0) 12.373 * [taylor]: Taking taylor expansion of (log n) in k 12.373 * [taylor]: Taking taylor expansion of n in k 12.373 * [backup-simplify]: Simplify n into n 12.373 * [backup-simplify]: Simplify (log n) into (log n) 12.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.373 * [taylor]: Taking taylor expansion of k in k 12.373 * [backup-simplify]: Simplify 0 into 0 12.373 * [backup-simplify]: Simplify 1 into 1 12.374 * [backup-simplify]: Simplify (/ 1 1) into 1 12.374 * [taylor]: Taking taylor expansion of 1.0 in k 12.374 * [backup-simplify]: Simplify 1.0 into 1.0 12.374 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.374 * [backup-simplify]: Simplify (+ (log -2.0) (- (log n))) into (- (log -2.0) (log n)) 12.375 * [backup-simplify]: Simplify (+ 1 0) into 1 12.375 * [backup-simplify]: Simplify (* (- (log -2.0) (log n)) 1) into (- (log -2.0) (log n)) 12.376 * [backup-simplify]: Simplify (* 0.5 (- (log -2.0) (log n))) into (* 0.5 (- (log -2.0) (log n))) 12.376 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 12.377 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) 12.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)))) into 0 12.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2.0 1)))) 1) into 0 12.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.380 * [backup-simplify]: Simplify (+ 0 0) into 0 12.380 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.381 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 12.382 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -2.0) (log n)))) into 0 12.383 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.383 * [taylor]: Taking taylor expansion of 0 in k 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [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 12.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.388 * [backup-simplify]: Simplify (+ 0 0) into 0 12.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.390 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 12.391 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -2.0) (log n))))) into 0 12.392 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.393 * [taylor]: Taking taylor expansion of 0 in k 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.399 * [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 12.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.400 * [backup-simplify]: Simplify (+ 0 0) into 0 12.401 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2.0)) into (- (log -2.0) (log n)) 12.403 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2.0) (log n)))))) into 0 12.405 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -2.0) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.405 * [taylor]: Taking taylor expansion of 0 in k 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -2.0) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -2.0) (log (/ -1 n)))))) 12.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2) 12.406 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 12.406 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 12.406 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.407 * [taylor]: Taking taylor expansion of 0.5 in k 12.407 * [backup-simplify]: Simplify 0.5 into 0.5 12.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.407 * [taylor]: Taking taylor expansion of 1.0 in k 12.407 * [backup-simplify]: Simplify 1.0 into 1.0 12.407 * [taylor]: Taking taylor expansion of k in k 12.407 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify 1 into 1 12.407 * [taylor]: Taking taylor expansion of (log PI) in k 12.407 * [taylor]: Taking taylor expansion of PI in k 12.407 * [backup-simplify]: Simplify PI into PI 12.407 * [backup-simplify]: Simplify (log PI) into (log PI) 12.408 * [backup-simplify]: Simplify (- 0) into 0 12.408 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.409 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.410 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.411 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.411 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.411 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.411 * [taylor]: Taking taylor expansion of 0.5 in k 12.411 * [backup-simplify]: Simplify 0.5 into 0.5 12.411 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.411 * [taylor]: Taking taylor expansion of 1.0 in k 12.411 * [backup-simplify]: Simplify 1.0 into 1.0 12.411 * [taylor]: Taking taylor expansion of k in k 12.411 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify 1 into 1 12.412 * [taylor]: Taking taylor expansion of (log PI) in k 12.412 * [taylor]: Taking taylor expansion of PI in k 12.412 * [backup-simplify]: Simplify PI into PI 12.412 * [backup-simplify]: Simplify (log PI) into (log PI) 12.412 * [backup-simplify]: Simplify (- 0) into 0 12.413 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.413 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.414 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.416 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.417 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 12.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.419 * [backup-simplify]: Simplify (- 1) into -1 12.419 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.421 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.429 * [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))) 12.431 * [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))) 12.433 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.433 * [backup-simplify]: Simplify (- 0) into 0 12.433 * [backup-simplify]: Simplify (+ 0 0) into 0 12.434 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.435 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.447 * [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))) 12.450 * [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))) 12.455 * [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)))) 12.455 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 12.455 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 12.456 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.456 * [taylor]: Taking taylor expansion of 0.5 in k 12.456 * [backup-simplify]: Simplify 0.5 into 0.5 12.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.456 * [taylor]: Taking taylor expansion of 1.0 in k 12.456 * [backup-simplify]: Simplify 1.0 into 1.0 12.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.456 * [taylor]: Taking taylor expansion of k in k 12.456 * [backup-simplify]: Simplify 0 into 0 12.456 * [backup-simplify]: Simplify 1 into 1 12.456 * [backup-simplify]: Simplify (/ 1 1) into 1 12.456 * [taylor]: Taking taylor expansion of (log PI) in k 12.456 * [taylor]: Taking taylor expansion of PI in k 12.456 * [backup-simplify]: Simplify PI into PI 12.456 * [backup-simplify]: Simplify (log PI) into (log PI) 12.457 * [backup-simplify]: Simplify (- 1) into -1 12.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.457 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.458 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.458 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 12.458 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.458 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.458 * [taylor]: Taking taylor expansion of 0.5 in k 12.458 * [backup-simplify]: Simplify 0.5 into 0.5 12.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.458 * [taylor]: Taking taylor expansion of 1.0 in k 12.458 * [backup-simplify]: Simplify 1.0 into 1.0 12.458 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.458 * [taylor]: Taking taylor expansion of k in k 12.458 * [backup-simplify]: Simplify 0 into 0 12.458 * [backup-simplify]: Simplify 1 into 1 12.458 * [backup-simplify]: Simplify (/ 1 1) into 1 12.459 * [taylor]: Taking taylor expansion of (log PI) in k 12.459 * [taylor]: Taking taylor expansion of PI in k 12.459 * [backup-simplify]: Simplify PI into PI 12.459 * [backup-simplify]: Simplify (log PI) into (log PI) 12.459 * [backup-simplify]: Simplify (- 1) into -1 12.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.460 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.461 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.461 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 12.462 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.463 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.463 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 12.463 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 12.463 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.463 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.463 * [taylor]: Taking taylor expansion of 0.5 in k 12.463 * [backup-simplify]: Simplify 0.5 into 0.5 12.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.463 * [taylor]: Taking taylor expansion of k in k 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify 1 into 1 12.464 * [backup-simplify]: Simplify (/ 1 1) into 1 12.464 * [taylor]: Taking taylor expansion of 1.0 in k 12.464 * [backup-simplify]: Simplify 1.0 into 1.0 12.464 * [taylor]: Taking taylor expansion of (log PI) in k 12.464 * [taylor]: Taking taylor expansion of PI in k 12.464 * [backup-simplify]: Simplify PI into PI 12.464 * [backup-simplify]: Simplify (log PI) into (log PI) 12.465 * [backup-simplify]: Simplify (+ 1 0) into 1 12.465 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.466 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.467 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 12.467 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 12.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 12.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 12.467 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.467 * [taylor]: Taking taylor expansion of 0.5 in k 12.467 * [backup-simplify]: Simplify 0.5 into 0.5 12.467 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.467 * [taylor]: Taking taylor expansion of k in k 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 1 into 1 12.467 * [backup-simplify]: Simplify (/ 1 1) into 1 12.467 * [taylor]: Taking taylor expansion of 1.0 in k 12.467 * [backup-simplify]: Simplify 1.0 into 1.0 12.467 * [taylor]: Taking taylor expansion of (log PI) in k 12.467 * [taylor]: Taking taylor expansion of PI in k 12.467 * [backup-simplify]: Simplify PI into PI 12.468 * [backup-simplify]: Simplify (log PI) into (log PI) 12.468 * [backup-simplify]: Simplify (+ 1 0) into 1 12.469 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.470 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.470 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 12.471 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 0 into 0 12.472 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 12.472 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 12.473 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt k))) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 12.473 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in (k) around 0 12.473 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in k 12.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.473 * [taylor]: Taking taylor expansion of 1.0 in k 12.473 * [backup-simplify]: Simplify 1.0 into 1.0 12.473 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.474 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 12.474 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 12.474 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 12.474 * [taylor]: Taking taylor expansion of 1/4 in k 12.474 * [backup-simplify]: Simplify 1/4 into 1/4 12.474 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.474 * [taylor]: Taking taylor expansion of k in k 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify 1 into 1 12.475 * [backup-simplify]: Simplify (/ 1 1) into 1 12.475 * [backup-simplify]: Simplify (log 1) into 0 12.475 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.476 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 12.476 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 12.476 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow (/ 1 k) 1/4)) in k 12.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.476 * [taylor]: Taking taylor expansion of 1.0 in k 12.476 * [backup-simplify]: Simplify 1.0 into 1.0 12.476 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.477 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 12.477 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 12.477 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 12.477 * [taylor]: Taking taylor expansion of 1/4 in k 12.477 * [backup-simplify]: Simplify 1/4 into 1/4 12.477 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.477 * [taylor]: Taking taylor expansion of k in k 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [backup-simplify]: Simplify (/ 1 1) into 1 12.478 * [backup-simplify]: Simplify (log 1) into 0 12.478 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.478 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 12.478 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 12.479 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k -1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 12.479 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 12.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.482 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.482 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 12.483 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.484 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow k -1/4))) into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.487 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.489 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.490 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 12.490 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.493 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.494 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 12.495 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.497 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 12.497 * [backup-simplify]: Simplify 0 into 0 12.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.503 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.503 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.504 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 12.506 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.508 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 12.508 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.518 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.518 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 12.524 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.527 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 12.528 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.568 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.584 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 12.592 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.595 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 12.596 * [backup-simplify]: Simplify 0 into 0 12.596 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 12.597 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt (/ 1 k)))) into (* (sqrt 1.0) (pow k 1/4)) 12.597 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in (k) around 0 12.597 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in k 12.597 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.597 * [taylor]: Taking taylor expansion of 1.0 in k 12.597 * [backup-simplify]: Simplify 1.0 into 1.0 12.597 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.598 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 12.598 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 12.598 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 12.598 * [taylor]: Taking taylor expansion of 1/4 in k 12.598 * [backup-simplify]: Simplify 1/4 into 1/4 12.598 * [taylor]: Taking taylor expansion of (log k) in k 12.598 * [taylor]: Taking taylor expansion of k in k 12.598 * [backup-simplify]: Simplify 0 into 0 12.598 * [backup-simplify]: Simplify 1 into 1 12.598 * [backup-simplify]: Simplify (log 1) into 0 12.599 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.599 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 12.599 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 12.599 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow k 1/4)) in k 12.599 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.599 * [taylor]: Taking taylor expansion of 1.0 in k 12.599 * [backup-simplify]: Simplify 1.0 into 1.0 12.600 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.600 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 12.600 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 12.600 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 12.600 * [taylor]: Taking taylor expansion of 1/4 in k 12.600 * [backup-simplify]: Simplify 1/4 into 1/4 12.600 * [taylor]: Taking taylor expansion of (log k) in k 12.600 * [taylor]: Taking taylor expansion of k in k 12.600 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify 1 into 1 12.601 * [backup-simplify]: Simplify (log 1) into 0 12.601 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.601 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 12.601 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 12.602 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k 1/4)) into (* (sqrt 1.0) (pow k 1/4)) 12.602 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow k 1/4)) into (* (sqrt 1.0) (pow k 1/4)) 12.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.604 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.605 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 12.606 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.606 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (pow k 1/4))) into 0 12.606 * [backup-simplify]: Simplify 0 into 0 12.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.610 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 12.612 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.614 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 12.614 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.620 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.621 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 12.622 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.625 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 12.625 * [backup-simplify]: Simplify 0 into 0 12.636 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.636 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.638 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 12.640 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.642 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.644 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 12.644 * [backup-simplify]: Simplify 0 into 0 12.660 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.661 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.663 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 12.667 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.670 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 12.670 * [backup-simplify]: Simplify 0 into 0 12.701 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 12.701 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 12.709 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.713 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 12.713 * [backup-simplify]: Simplify 0 into 0 12.714 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow (/ 1 k) 1/4)) into (* (sqrt 1.0) (pow (/ 1 k) 1/4)) 12.714 * [backup-simplify]: Simplify (/ (sqrt 1.0) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) 12.714 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 12.714 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 12.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.714 * [taylor]: Taking taylor expansion of 1.0 in k 12.714 * [backup-simplify]: Simplify 1.0 into 1.0 12.715 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 12.716 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 12.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.716 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.716 * [taylor]: Taking taylor expansion of -1 in k 12.716 * [backup-simplify]: Simplify -1 into -1 12.716 * [taylor]: Taking taylor expansion of k in k 12.716 * [backup-simplify]: Simplify 0 into 0 12.716 * [backup-simplify]: Simplify 1 into 1 12.716 * [backup-simplify]: Simplify (/ -1 1) into -1 12.716 * [backup-simplify]: Simplify (sqrt 0) into 0 12.718 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.718 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 12.719 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 12.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.729 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.731 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.733 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 12.733 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 12.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.733 * [taylor]: Taking taylor expansion of 1.0 in k 12.733 * [backup-simplify]: Simplify 1.0 into 1.0 12.733 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.734 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 12.734 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 12.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.734 * [taylor]: Taking taylor expansion of -1 in k 12.734 * [backup-simplify]: Simplify -1 into -1 12.734 * [taylor]: Taking taylor expansion of k in k 12.734 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.735 * [backup-simplify]: Simplify (/ -1 1) into -1 12.735 * [backup-simplify]: Simplify (sqrt 0) into 0 12.737 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.737 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 12.737 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 12.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.741 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.743 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.745 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 12.747 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 12.748 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt +nan.0)) into (* (sqrt 1.0) (sqrt +nan.0)) 12.752 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 12.755 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 12.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.764 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.769 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 12.769 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.777 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 12.783 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 12.791 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- k))) (* (sqrt 1.0) (sqrt +nan.0)))) into (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))))))))) 12.792 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 12.792 * [backup-simplify]: Simplify (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) into (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 k) 1/4)) 12.792 * [approximate]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 k) 1/4)) in (k) around 0 12.792 * [taylor]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 k) 1/4)) in k 12.792 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 k)))) in k 12.792 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.792 * [taylor]: Taking taylor expansion of 1.0 in k 12.792 * [backup-simplify]: Simplify 1.0 into 1.0 12.792 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.793 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.793 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.793 * [taylor]: Taking taylor expansion of 0.5 in k 12.793 * [backup-simplify]: Simplify 0.5 into 0.5 12.793 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.793 * [taylor]: Taking taylor expansion of 1.0 in k 12.793 * [backup-simplify]: Simplify 1.0 into 1.0 12.793 * [taylor]: Taking taylor expansion of k in k 12.793 * [backup-simplify]: Simplify 0 into 0 12.793 * [backup-simplify]: Simplify 1 into 1 12.793 * [taylor]: Taking taylor expansion of (log PI) in k 12.793 * [taylor]: Taking taylor expansion of PI in k 12.793 * [backup-simplify]: Simplify PI into PI 12.793 * [backup-simplify]: Simplify (log PI) into (log PI) 12.794 * [backup-simplify]: Simplify (- 0) into 0 12.794 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.794 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.795 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.797 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.797 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 12.797 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 12.797 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 12.797 * [taylor]: Taking taylor expansion of 1/4 in k 12.797 * [backup-simplify]: Simplify 1/4 into 1/4 12.797 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.797 * [taylor]: Taking taylor expansion of k in k 12.797 * [backup-simplify]: Simplify 0 into 0 12.797 * [backup-simplify]: Simplify 1 into 1 12.798 * [backup-simplify]: Simplify (/ 1 1) into 1 12.798 * [backup-simplify]: Simplify (log 1) into 0 12.798 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.799 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 12.799 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 12.799 * [taylor]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 k)))) (pow (/ 1 k) 1/4)) in k 12.799 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 k)))) in k 12.799 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.799 * [taylor]: Taking taylor expansion of 1.0 in k 12.799 * [backup-simplify]: Simplify 1.0 into 1.0 12.799 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.800 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 12.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 12.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 12.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.800 * [taylor]: Taking taylor expansion of 0.5 in k 12.800 * [backup-simplify]: Simplify 0.5 into 0.5 12.800 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.800 * [taylor]: Taking taylor expansion of 1.0 in k 12.800 * [backup-simplify]: Simplify 1.0 into 1.0 12.800 * [taylor]: Taking taylor expansion of k in k 12.800 * [backup-simplify]: Simplify 0 into 0 12.800 * [backup-simplify]: Simplify 1 into 1 12.800 * [taylor]: Taking taylor expansion of (log PI) in k 12.800 * [taylor]: Taking taylor expansion of PI in k 12.801 * [backup-simplify]: Simplify PI into PI 12.801 * [backup-simplify]: Simplify (log PI) into (log PI) 12.801 * [backup-simplify]: Simplify (- 0) into 0 12.802 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.802 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.803 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 12.805 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 12.805 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 12.805 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 12.805 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 12.805 * [taylor]: Taking taylor expansion of 1/4 in k 12.805 * [backup-simplify]: Simplify 1/4 into 1/4 12.805 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 12.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.806 * [taylor]: Taking taylor expansion of k in k 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.806 * [backup-simplify]: Simplify (/ 1 1) into 1 12.806 * [backup-simplify]: Simplify (log 1) into 0 12.807 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.807 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 12.807 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 12.809 * [backup-simplify]: Simplify (* (sqrt 1.0) (pow PI 0.5)) into (* (sqrt 1.0) (pow (pow PI 1.0) 0.5)) 12.812 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (pow (pow PI 1.0) 0.5)) (pow k -1/4)) into (* (sqrt 1.0) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))) 12.814 * [backup-simplify]: Simplify (* (sqrt 1.0) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))) into (* (sqrt 1.0) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))) 12.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.816 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.817 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 12.818 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.820 * [backup-simplify]: Simplify (- 1) into -1 12.821 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.823 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 12.830 * [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))) 12.835 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* 0 (pow PI 0.5))) into (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (pow (pow PI 1.0) 0.5)))) 12.840 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (pow (pow PI 1.0) 0.5)) 0) (* (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (pow (pow PI 1.0) 0.5)))) (pow k -1/4))) into (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))))) 12.848 * [backup-simplify]: Simplify (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))))) into (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))))) 12.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.850 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 12.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 12.852 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.856 * [backup-simplify]: Simplify (- 0) into 0 12.857 * [backup-simplify]: Simplify (+ 0 0) into 0 12.858 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 12.872 * [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))) 12.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.887 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) (* 0.125 (* (pow (log PI) 2) (pow (pow PI 1.0) 0.5)))) (+ (* 0 (* -0.5 (* (log PI) (pow (pow PI 1.0) 0.5)))) (* 0 (pow PI 0.5)))) into (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) 12.897 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (pow (pow PI 1.0) 0.5)) 0) (+ (* (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (pow (pow PI 1.0) 0.5)))) 0) (* (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow k -1/4)))) into (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4)))) 12.900 * [backup-simplify]: Simplify (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4)))) into (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4)))) 12.906 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4)))) (pow k 2)) (+ (* (- (* 0.5 (* (* (sqrt 1.0) (log PI)) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))))) k) (* (sqrt 1.0) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))))) into (- (+ (* (sqrt 1.0) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))) (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (* (pow (pow PI 1.0) 0.5) (pow (pow k 7) 1/4))))) (* 0.5 (* (* (sqrt 1.0) (log PI)) (* (pow (pow PI 1.0) 0.5) (pow (pow k 3) 1/4))))) 12.907 * [backup-simplify]: Simplify (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 (/ 1 k)) 2.0))) (sqrt (sqrt (/ 1 k)))) into (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow k 1/4)) 12.907 * [approximate]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow k 1/4)) in (k) around 0 12.907 * [taylor]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow k 1/4)) in k 12.907 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.907 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.907 * [taylor]: Taking taylor expansion of 1.0 in k 12.907 * [backup-simplify]: Simplify 1.0 into 1.0 12.907 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.907 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.908 * [taylor]: Taking taylor expansion of 0.5 in k 12.908 * [backup-simplify]: Simplify 0.5 into 0.5 12.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.908 * [taylor]: Taking taylor expansion of 1.0 in k 12.908 * [backup-simplify]: Simplify 1.0 into 1.0 12.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.908 * [taylor]: Taking taylor expansion of k in k 12.908 * [backup-simplify]: Simplify 0 into 0 12.908 * [backup-simplify]: Simplify 1 into 1 12.908 * [backup-simplify]: Simplify (/ 1 1) into 1 12.908 * [taylor]: Taking taylor expansion of (log PI) in k 12.908 * [taylor]: Taking taylor expansion of PI in k 12.908 * [backup-simplify]: Simplify PI into PI 12.908 * [backup-simplify]: Simplify (log PI) into (log PI) 12.909 * [backup-simplify]: Simplify (- 1) into -1 12.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.909 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.910 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.910 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 12.910 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 12.910 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 12.910 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 12.910 * [taylor]: Taking taylor expansion of 1/4 in k 12.910 * [backup-simplify]: Simplify 1/4 into 1/4 12.910 * [taylor]: Taking taylor expansion of (log k) in k 12.910 * [taylor]: Taking taylor expansion of k in k 12.910 * [backup-simplify]: Simplify 0 into 0 12.910 * [backup-simplify]: Simplify 1 into 1 12.911 * [backup-simplify]: Simplify (log 1) into 0 12.911 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.911 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 12.911 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 12.911 * [taylor]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow k 1/4)) in k 12.911 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 12.911 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 12.911 * [taylor]: Taking taylor expansion of 1.0 in k 12.911 * [backup-simplify]: Simplify 1.0 into 1.0 12.911 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 12.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 12.912 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 12.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 12.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 12.912 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.912 * [taylor]: Taking taylor expansion of 0.5 in k 12.912 * [backup-simplify]: Simplify 0.5 into 0.5 12.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.912 * [taylor]: Taking taylor expansion of 1.0 in k 12.912 * [backup-simplify]: Simplify 1.0 into 1.0 12.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.912 * [taylor]: Taking taylor expansion of k in k 12.912 * [backup-simplify]: Simplify 0 into 0 12.912 * [backup-simplify]: Simplify 1 into 1 12.912 * [backup-simplify]: Simplify (/ 1 1) into 1 12.912 * [taylor]: Taking taylor expansion of (log PI) in k 12.912 * [taylor]: Taking taylor expansion of PI in k 12.912 * [backup-simplify]: Simplify PI into PI 12.912 * [backup-simplify]: Simplify (log PI) into (log PI) 12.913 * [backup-simplify]: Simplify (- 1) into -1 12.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.913 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.914 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 12.914 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 12.914 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 12.914 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 12.914 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 12.914 * [taylor]: Taking taylor expansion of 1/4 in k 12.914 * [backup-simplify]: Simplify 1/4 into 1/4 12.914 * [taylor]: Taking taylor expansion of (log k) in k 12.914 * [taylor]: Taking taylor expansion of k in k 12.914 * [backup-simplify]: Simplify 0 into 0 12.914 * [backup-simplify]: Simplify 1 into 1 12.915 * [backup-simplify]: Simplify (log 1) into 0 12.915 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.915 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 12.915 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 12.916 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) into (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 12.916 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) (pow k 1/4)) into (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) (pow k 1/4)) 12.917 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) (pow k 1/4)) into (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) (pow k 1/4)) 12.918 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.918 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 12.919 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 12.920 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))) into 0 12.920 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) (* 0 (pow k 1/4))) into 0 12.921 * [backup-simplify]: Simplify 0 into 0 12.922 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 12.922 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.923 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 12.924 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 12.925 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))) into 0 12.926 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 12.926 * [backup-simplify]: Simplify 0 into 0 12.931 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 12.932 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.933 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 12.935 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.939 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))) into 0 12.941 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 12.941 * [backup-simplify]: Simplify 0 into 0 12.951 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 12.952 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 12.956 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.958 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.960 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))))) into 0 12.963 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0 12.963 * [backup-simplify]: Simplify 0 into 0 12.987 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 12.989 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 12.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 12.995 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 12.998 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))))))))) into 0 12.999 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0 12.999 * [backup-simplify]: Simplify 0 into 0 13.016 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 13.017 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 13.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 13.021 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.022 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 13.024 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))))))))) into 0 13.026 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0 13.026 * [backup-simplify]: Simplify 0 into 0 13.028 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI))))) (pow (/ 1 k) 1/4)) into (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow (/ 1 k) 1/4)) 13.028 * [backup-simplify]: Simplify (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0))) (sqrt (sqrt (/ 1 (- k))))) into (* (* (sqrt 1.0) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ 1 (sqrt (/ -1 k))))) 13.028 * [approximate]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 13.028 * [taylor]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 13.029 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 13.029 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 13.029 * [taylor]: Taking taylor expansion of 1.0 in k 13.029 * [backup-simplify]: Simplify 1.0 into 1.0 13.029 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 13.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 13.030 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.030 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.030 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.030 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.030 * [taylor]: Taking taylor expansion of 0.5 in k 13.030 * [backup-simplify]: Simplify 0.5 into 0.5 13.030 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.030 * [taylor]: Taking taylor expansion of k in k 13.030 * [backup-simplify]: Simplify 0 into 0 13.030 * [backup-simplify]: Simplify 1 into 1 13.031 * [backup-simplify]: Simplify (/ 1 1) into 1 13.031 * [taylor]: Taking taylor expansion of 1.0 in k 13.031 * [backup-simplify]: Simplify 1.0 into 1.0 13.031 * [taylor]: Taking taylor expansion of (log PI) in k 13.031 * [taylor]: Taking taylor expansion of PI in k 13.031 * [backup-simplify]: Simplify PI into PI 13.031 * [backup-simplify]: Simplify (log PI) into (log PI) 13.032 * [backup-simplify]: Simplify (+ 1 0) into 1 13.032 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.033 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.034 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 13.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 13.034 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 13.034 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.034 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.034 * [taylor]: Taking taylor expansion of -1 in k 13.034 * [backup-simplify]: Simplify -1 into -1 13.034 * [taylor]: Taking taylor expansion of k in k 13.034 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify 1 into 1 13.034 * [backup-simplify]: Simplify (/ -1 1) into -1 13.035 * [backup-simplify]: Simplify (sqrt 0) into 0 13.036 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.037 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 13.037 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 13.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.041 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.043 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.045 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 13.045 * [taylor]: Taking taylor expansion of (* (* (sqrt 1.0) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 13.046 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 13.046 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 13.046 * [taylor]: Taking taylor expansion of 1.0 in k 13.046 * [backup-simplify]: Simplify 1.0 into 1.0 13.046 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 13.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 13.047 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 13.047 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 13.047 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 13.047 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 13.047 * [taylor]: Taking taylor expansion of 0.5 in k 13.047 * [backup-simplify]: Simplify 0.5 into 0.5 13.047 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 13.047 * [taylor]: Taking taylor expansion of (/ 1 k) in k 13.047 * [taylor]: Taking taylor expansion of k in k 13.047 * [backup-simplify]: Simplify 0 into 0 13.047 * [backup-simplify]: Simplify 1 into 1 13.048 * [backup-simplify]: Simplify (/ 1 1) into 1 13.048 * [taylor]: Taking taylor expansion of 1.0 in k 13.048 * [backup-simplify]: Simplify 1.0 into 1.0 13.048 * [taylor]: Taking taylor expansion of (log PI) in k 13.048 * [taylor]: Taking taylor expansion of PI in k 13.048 * [backup-simplify]: Simplify PI into PI 13.048 * [backup-simplify]: Simplify (log PI) into (log PI) 13.049 * [backup-simplify]: Simplify (+ 1 0) into 1 13.050 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 13.051 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 13.051 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) 13.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 13.051 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 13.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 13.051 * [taylor]: Taking taylor expansion of (/ -1 k) in k 13.051 * [taylor]: Taking taylor expansion of -1 in k 13.051 * [backup-simplify]: Simplify -1 into -1 13.051 * [taylor]: Taking taylor expansion of k in k 13.052 * [backup-simplify]: Simplify 0 into 0 13.052 * [backup-simplify]: Simplify 1 into 1 13.052 * [backup-simplify]: Simplify (/ -1 1) into -1 13.052 * [backup-simplify]: Simplify (sqrt 0) into 0 13.054 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.054 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 13.055 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 13.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.057 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.058 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 13.060 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 13.060 * [backup-simplify]: Simplify (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) into (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) 13.061 * [backup-simplify]: Simplify (* (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0)) into (* (sqrt 1.0) (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (sqrt +nan.0))) 13.062 * [backup-simplify]: Simplify (* (sqrt 1.0) (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (sqrt +nan.0))) into (* (sqrt 1.0) (* (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) (sqrt +nan.0))) 13.063 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) into 0 13.064 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0)))) 13.065 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0)))) 13.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.070 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 13.073 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 13.074 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 13.075 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) into 0 13.080 * [backup-simplify]: Simplify (+ (* (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0))) (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (pow (sqrt +nan.0) 3)))))) 13.083 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0))) (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (pow (sqrt +nan.0) 3)))))) into (- (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (sqrt +nan.0))) (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) (pow (sqrt +nan.0) 3)))))) 13.090 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0))))) (sqrt +nan.0))) (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0))))) (pow (sqrt +nan.0) 3)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0))))) (sqrt +nan.0)))) (/ 1 (- k))) (* (sqrt 1.0) (* (exp (* 0.5 (* (log PI) (+ (/ 1 (/ 1 (- k))) 1.0)))) (sqrt +nan.0))))) into (- (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (sqrt +nan.0))) (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 13.090 * * * [progress]: simplifying candidates 13.102 * [simplify]: Simplifying: (* (+ (log n) (log 2.0)) (/ (- 1.0 k) 2.0)) (* (log (* n 2.0)) (/ (- 1.0 k) 2.0)) (* (log (* n 2.0)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ 1.0 2.0)) (pow (* n 2.0) (/ k 2.0)) (pow (* n 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) 1)) (pow (* n 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (pow (* n 2.0) (/ 1 1)) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* n 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (pow (* n 2.0) (/ 1 1)) (pow (* n 2.0) 1) (pow (* n 2.0) (- 1.0 k)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (log (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (exp (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (* (pow (* n 2.0) (/ (- 1.0 k) 2.0)) (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (* (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)) (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt 1))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (- (+ (log (sqrt 1.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (sqrt (sqrt k)))) (- (+ (log (sqrt 1.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (sqrt (sqrt k)))) (- (+ (log (sqrt 1.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (sqrt (sqrt k)))) (- (log (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0)))) (log (sqrt (sqrt k)))) (log (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (exp (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (/ (* (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (cbrt (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))))) (cbrt (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (* (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (sqrt (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (sqrt (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (- (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0)))) (- (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (/ (- 1.0 k) 2.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt 1))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (sqrt (sqrt k)))) (/ (* (sqrt 1.0) (pow PI (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (sqrt (sqrt k)) (pow PI (/ k 2.0))) (- (+ (* 0.125 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (log 2.0) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (pow (log 2.0) 2) (* (exp (* 0.5 (+ (log n) (log 2.0)))) (pow k 2)))) (exp (* 0.5 (+ (log n) (log 2.0))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log n) (log 2.0)))) (* (log n) k))) (* 0.5 (* (log 2.0) (* k (exp (* 0.5 (+ (log n) (log 2.0))))))))) (exp (* 0.5 (* (- (log 2.0) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log -2.0) (log (/ -1 n)))))) (- (+ (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)))) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (- (* (sqrt 1.0) (sqrt +nan.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))))))))) (- (+ (* (sqrt 1.0) (* (pow (pow PI 1.0) 0.5) (pow (/ 1 k) 1/4))) (* 0.125 (* (* (sqrt 1.0) (pow (log PI) 2)) (* (pow (pow PI 1.0) 0.5) (pow (pow k 7) 1/4))))) (* 0.5 (* (* (sqrt 1.0) (log PI)) (* (pow (pow PI 1.0) 0.5) (pow (pow k 3) 1/4))))) (* (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow (/ 1 k) 1/4)) (- (* (sqrt 1.0) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (sqrt +nan.0))) (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (* (sqrt 1.0) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 13.106 * * [simplify]: iteration 0: 364 enodes 13.227 * * [simplify]: iteration 1: 945 enodes 13.780 * * [simplify]: iteration 2: 4156 enodes 14.747 * * [simplify]: iteration complete: 5000 enodes 14.747 * * [simplify]: Extracting #0: cost 142 inf + 0 14.748 * * [simplify]: Extracting #1: cost 814 inf + 2 14.753 * * [simplify]: Extracting #2: cost 1732 inf + 78 14.761 * * [simplify]: Extracting #3: cost 1974 inf + 639 14.777 * * [simplify]: Extracting #4: cost 1478 inf + 4080 14.791 * * [simplify]: Extracting #5: cost 672 inf + 13150 14.806 * * [simplify]: Extracting #6: cost 115 inf + 21081 14.821 * * [simplify]: Extracting #7: cost 17 inf + 22239 14.835 * * [simplify]: Extracting #8: cost 0 inf + 22467 14.846 * * [simplify]: Extracting #9: cost 0 inf + 22456 14.855 * * [simplify]: Extracting #10: cost 0 inf + 22454 14.864 * [simplify]: Simplified to: (/ (* (- 1.0 k) (log (* n 2.0))) 2.0) (/ (* (- 1.0 k) (log (* n 2.0))) 2.0) (/ (* (- 1.0 k) (log (* n 2.0))) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n 2.0) (/ 1.0 2.0)) (pow (* n 2.0) (/ k 2.0)) (pow (* n 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (* (/ (cbrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (cbrt (- 1.0 k)))) (pow (* n 2.0) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow (* n 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n 2.0) (sqrt (- 1.0 k))) (pow (* n 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (* n 2.0) (pow (* n 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* n 2.0) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n 2.0) (/ 1 (sqrt 2.0))) (* n 2.0) (* n 2.0) (pow (* n 2.0) (- 1.0 k)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (- 1.0 k) (log (* n 2.0))) 2.0) (exp (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (pow (* n 2.0) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n 2.0) (/ (- 1.0 k) 2.0))) (pow (* n 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 1.0 k) (/ 2.0 (log PI))) (/ (- 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)) (/ (- 1.0 k) (/ 2.0 (log PI))) (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) 2.0)) (pow PI (/ (/ (- 1.0 k) 2) 2.0)) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (pow (/ (sqrt 1.0) (sqrt (sqrt k))) 3) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (pow (/ (sqrt 1.0) (sqrt (sqrt k))) 3) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (fabs (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (fabs (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (log (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (log (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (log (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (log (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (log (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (pow (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (pow PI (/ (- 1.0 k) 2.0))) (pow (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0))) 3) (pow (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0))) 3) (* (cbrt (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (cbrt (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0))))) (cbrt (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (pow (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0))) 3) (sqrt (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (sqrt (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)))) (* (- (sqrt 1.0)) (pow PI (/ (- 1.0 k) 2.0))) (- (sqrt (sqrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (sqrt k)) (sqrt 1.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (cbrt (sqrt (sqrt k))))) (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (fabs (cbrt (sqrt k))) (sqrt 1.0))) (/ (sqrt 1.0) (/ (sqrt (fabs (cbrt k))) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow PI (/ k 2.0)) (sqrt (sqrt k))) (+ (- (+ (+ (* 0.125 (* (pow (log 2.0) 2) (* (pow (* n 2.0) 0.5) (* k k)))) (pow (* n 2.0) 0.5)) (* (* 0.25 (log 2.0)) (* (* (pow (* n 2.0) 0.5) (* k k)) (log n)))) (* 0.5 (* (pow (* n 2.0) 0.5) (+ (* (log n) k) (* (log 2.0) k))))) (* 0.125 (* (* (* (pow (log n) 2) (pow (* n 2.0) 0.5)) k) k))) (pow (pow (* n 2.0) 0.5) (- 1.0 k)) (pow (exp (- 1.0 k)) (* (- (log -2.0) (log (/ -1 n))) 0.5)) (+ (* (pow (pow PI 1.0) 0.5) (- (* (* k (* k (pow (log PI) 2))) 0.125) (* (* 0.5 k) (log PI)))) (pow PI 0.5)) (pow (pow PI (- 1.0 k)) 0.5) (pow (pow PI (- 1.0 k)) 0.5) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (* (sqrt 1.0) (pow (/ 1 k) 1/4)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* (/ +nan.0 k) (/ (sqrt 1.0) (sqrt +nan.0)))) (* +nan.0 (- (/ (/ (sqrt 1.0) (* k k)) (pow (sqrt +nan.0) 3)) (/ (/ (sqrt 1.0) (* k k)) (sqrt +nan.0))))) (+ (* (pow (pow PI 1.0) 0.5) (* (pow (/ 1 k) 1/4) (sqrt 1.0))) (- (* (* (* 0.125 (* (pow (log PI) 2) (sqrt 1.0))) (pow (pow PI 1.0) 0.5)) (pow (pow k 7) 1/4)) (* (* 0.5 (sqrt 1.0)) (* (* (log PI) (pow (pow PI 1.0) 0.5)) (pow (pow k 3) 1/4))))) (* (* (sqrt 1.0) (pow (pow PI (- 1.0 k)) 0.5)) (pow (/ 1 k) 1/4)) (+ (- (* (* (sqrt 1.0) (sqrt +nan.0)) (pow (pow PI (- 1.0 k)) 0.5)) (* +nan.0 (* (/ (/ (sqrt 1.0) (* k k)) (sqrt +nan.0)) (pow (pow PI (- 1.0 k)) 0.5)))) (* +nan.0 (- (* (/ (sqrt 1.0) k) (/ (pow (pow PI (- 1.0 k)) 0.5) (sqrt +nan.0))) (/ (pow (pow PI (- 1.0 k)) 0.5) (/ (* k (* k (pow (sqrt +nan.0) 3))) (sqrt 1.0)))))) 14.866 * * * [progress]: adding candidates to table 16.177 * [progress]: [Phase 3 of 3] Extracting. 16.177 * * [regime]: Finding splitpoints for: (# # # # # # #) 16.181 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 16.181 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 16.273 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# #) 16.316 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 16.405 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 16.476 * * * [regime]: Found split indices: #