15.710 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.120 * * * [progress]: [2/2] Setting up program. 0.123 * [progress]: [Phase 2 of 3] Improving. 0.123 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.123 * [simplify]: Sending expressions to egg_math: (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) 0.155 * * [progress]: iteration 1 / 4 0.155 * * * [progress]: picking best candidate 0.157 * * * * [pick]: Picked # 0.157 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.195 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.201 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.225 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.270 * * * [progress]: generating series expansions 0.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.270 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 0.270 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.270 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.271 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.271 * [taylor]: Taking taylor expansion of 0.5 in k 0.271 * [backup-simplify]: Simplify 0.5 into 0.5 0.271 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.271 * [taylor]: Taking taylor expansion of 1.0 in k 0.271 * [backup-simplify]: Simplify 1.0 into 1.0 0.271 * [taylor]: Taking taylor expansion of k in k 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.271 * [taylor]: Taking taylor expansion of 2.0 in k 0.271 * [backup-simplify]: Simplify 2.0 into 2.0 0.271 * [taylor]: Taking taylor expansion of (* n PI) in k 0.271 * [taylor]: Taking taylor expansion of n in k 0.271 * [backup-simplify]: Simplify n into n 0.271 * [taylor]: Taking taylor expansion of PI in k 0.271 * [backup-simplify]: Simplify PI into PI 0.271 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.271 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.271 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.272 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.272 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.272 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.272 * [taylor]: Taking taylor expansion of 0.5 in n 0.272 * [backup-simplify]: Simplify 0.5 into 0.5 0.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [backup-simplify]: Simplify 1.0 into 1.0 0.272 * [taylor]: Taking taylor expansion of k in n 0.272 * [backup-simplify]: Simplify k into k 0.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.272 * [taylor]: Taking taylor expansion of 2.0 in n 0.272 * [backup-simplify]: Simplify 2.0 into 2.0 0.272 * [taylor]: Taking taylor expansion of (* n PI) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [taylor]: Taking taylor expansion of PI in n 0.272 * [backup-simplify]: Simplify PI into PI 0.273 * [backup-simplify]: Simplify (* 0 PI) into 0 0.273 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.275 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.275 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.275 * [backup-simplify]: Simplify (- k) into (- k) 0.276 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.276 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.276 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.277 * [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)))) 0.278 * [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))))) 0.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.278 * [taylor]: Taking taylor expansion of 0.5 in n 0.278 * [backup-simplify]: Simplify 0.5 into 0.5 0.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.278 * [taylor]: Taking taylor expansion of 1.0 in n 0.278 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [taylor]: Taking taylor expansion of k in n 0.278 * [backup-simplify]: Simplify k into k 0.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.278 * [taylor]: Taking taylor expansion of 2.0 in n 0.278 * [backup-simplify]: Simplify 2.0 into 2.0 0.278 * [taylor]: Taking taylor expansion of (* n PI) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of PI in n 0.278 * [backup-simplify]: Simplify PI into PI 0.279 * [backup-simplify]: Simplify (* 0 PI) into 0 0.279 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.281 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.281 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.281 * [backup-simplify]: Simplify (- k) into (- k) 0.282 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.282 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.283 * [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)))) 0.284 * [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))))) 0.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.284 * [taylor]: Taking taylor expansion of 0.5 in k 0.284 * [backup-simplify]: Simplify 0.5 into 0.5 0.284 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.284 * [taylor]: Taking taylor expansion of 1.0 in k 0.284 * [backup-simplify]: Simplify 1.0 into 1.0 0.284 * [taylor]: Taking taylor expansion of k in k 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.284 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.284 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.284 * [taylor]: Taking taylor expansion of 2.0 in k 0.284 * [backup-simplify]: Simplify 2.0 into 2.0 0.284 * [taylor]: Taking taylor expansion of PI in k 0.285 * [backup-simplify]: Simplify PI into PI 0.285 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.285 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.286 * [taylor]: Taking taylor expansion of (log n) in k 0.286 * [taylor]: Taking taylor expansion of n in k 0.286 * [backup-simplify]: Simplify n into n 0.286 * [backup-simplify]: Simplify (log n) into (log n) 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.287 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 0.287 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 0.288 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 0.293 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.294 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 0.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.296 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 0.298 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.299 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 0.300 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in k 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [backup-simplify]: Simplify (- 1) into -1 0.303 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.304 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 0.305 * [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)))) 0.307 * [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)))))) 0.309 * [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)))))) 0.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.312 * [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 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.315 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of 0 in k 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.320 * [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 0.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 0.327 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 0.330 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 0.337 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (+ (* 0.125 (pow (log n) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) 0.338 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 0.338 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.338 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.338 * [taylor]: Taking taylor expansion of 0.5 in k 0.338 * [backup-simplify]: Simplify 0.5 into 0.5 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.338 * [taylor]: Taking taylor expansion of 1.0 in k 0.338 * [backup-simplify]: Simplify 1.0 into 1.0 0.338 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.338 * [taylor]: Taking taylor expansion of k in k 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.338 * [taylor]: Taking taylor expansion of 2.0 in k 0.338 * [backup-simplify]: Simplify 2.0 into 2.0 0.338 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.338 * [taylor]: Taking taylor expansion of PI in k 0.338 * [backup-simplify]: Simplify PI into PI 0.338 * [taylor]: Taking taylor expansion of n in k 0.338 * [backup-simplify]: Simplify n into n 0.338 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.338 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.338 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.339 * [backup-simplify]: Simplify (- 1) into -1 0.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.339 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.339 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.340 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0.340 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.340 * [taylor]: Taking taylor expansion of 0.5 in n 0.340 * [backup-simplify]: Simplify 0.5 into 0.5 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.340 * [taylor]: Taking taylor expansion of 1.0 in n 0.340 * [backup-simplify]: Simplify 1.0 into 1.0 0.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.340 * [taylor]: Taking taylor expansion of k in n 0.340 * [backup-simplify]: Simplify k into k 0.340 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of 2.0 in n 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.340 * [taylor]: Taking taylor expansion of PI in n 0.340 * [backup-simplify]: Simplify PI into PI 0.340 * [taylor]: Taking taylor expansion of n in n 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ PI 1) into PI 0.341 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.342 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.342 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.342 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.342 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.343 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.343 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.344 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.344 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [backup-simplify]: Simplify 0.5 into 0.5 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.344 * [taylor]: Taking taylor expansion of k in n 0.345 * [backup-simplify]: Simplify k into k 0.345 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.345 * [taylor]: Taking taylor expansion of 2.0 in n 0.345 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.345 * [backup-simplify]: Simplify PI into PI 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (/ PI 1) into PI 0.345 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.346 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.346 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.346 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.346 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.348 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.349 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.349 * [taylor]: Taking taylor expansion of 0.5 in k 0.349 * [backup-simplify]: Simplify 0.5 into 0.5 0.349 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.349 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.349 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.349 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.349 * [taylor]: Taking taylor expansion of 2.0 in k 0.349 * [backup-simplify]: Simplify 2.0 into 2.0 0.349 * [taylor]: Taking taylor expansion of PI in k 0.349 * [backup-simplify]: Simplify PI into PI 0.349 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.350 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.350 * [taylor]: Taking taylor expansion of (log n) in k 0.350 * [taylor]: Taking taylor expansion of n in k 0.350 * [backup-simplify]: Simplify n into n 0.350 * [backup-simplify]: Simplify (log n) into (log n) 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.350 * [taylor]: Taking taylor expansion of 1.0 in k 0.350 * [backup-simplify]: Simplify 1.0 into 1.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.350 * [taylor]: Taking taylor expansion of k in k 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.351 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 0.352 * [backup-simplify]: Simplify (- 1) into -1 0.352 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.353 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) -1) into (* -1 (- (log (* 2.0 PI)) (log n))) 0.353 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 0.354 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.355 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.360 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 0.361 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.361 * [taylor]: Taking taylor expansion of 0 in k 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.364 * [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 0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.365 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 0.367 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.368 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 0.369 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in k 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.374 * [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 0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 0.376 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.378 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 0.379 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in k 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 0.381 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 0.381 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.381 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.381 * [taylor]: Taking taylor expansion of 0.5 in k 0.381 * [backup-simplify]: Simplify 0.5 into 0.5 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [backup-simplify]: Simplify 1.0 into 1.0 0.381 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.381 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.381 * [taylor]: Taking taylor expansion of -2.0 in k 0.381 * [backup-simplify]: Simplify -2.0 into -2.0 0.381 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.381 * [taylor]: Taking taylor expansion of PI in k 0.381 * [backup-simplify]: Simplify PI into PI 0.381 * [taylor]: Taking taylor expansion of n in k 0.381 * [backup-simplify]: Simplify n into n 0.381 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.382 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.382 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.382 * [backup-simplify]: Simplify (+ 1 0) into 1 0.382 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.382 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.382 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0.382 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.383 * [taylor]: Taking taylor expansion of 0.5 in n 0.383 * [backup-simplify]: Simplify 0.5 into 0.5 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.383 * [taylor]: Taking taylor expansion of k in n 0.383 * [backup-simplify]: Simplify k into k 0.383 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.383 * [taylor]: Taking taylor expansion of 1.0 in n 0.383 * [backup-simplify]: Simplify 1.0 into 1.0 0.383 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.383 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.383 * [taylor]: Taking taylor expansion of -2.0 in n 0.383 * [backup-simplify]: Simplify -2.0 into -2.0 0.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.383 * [taylor]: Taking taylor expansion of PI in n 0.383 * [backup-simplify]: Simplify PI into PI 0.383 * [taylor]: Taking taylor expansion of n in n 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (/ PI 1) into PI 0.389 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.390 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.390 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.390 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.392 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.393 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.393 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.393 * [taylor]: Taking taylor expansion of 0.5 in n 0.393 * [backup-simplify]: Simplify 0.5 into 0.5 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.393 * [taylor]: Taking taylor expansion of k in n 0.393 * [backup-simplify]: Simplify k into k 0.393 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.393 * [taylor]: Taking taylor expansion of 1.0 in n 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.393 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.393 * [taylor]: Taking taylor expansion of -2.0 in n 0.393 * [backup-simplify]: Simplify -2.0 into -2.0 0.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.393 * [taylor]: Taking taylor expansion of PI in n 0.393 * [backup-simplify]: Simplify PI into PI 0.393 * [taylor]: Taking taylor expansion of n in n 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ PI 1) into PI 0.394 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.394 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.395 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.395 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.396 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.397 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.397 * [taylor]: Taking taylor expansion of 0.5 in k 0.397 * [backup-simplify]: Simplify 0.5 into 0.5 0.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.397 * [taylor]: Taking taylor expansion of k in k 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.398 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [taylor]: Taking taylor expansion of 1.0 in k 0.398 * [backup-simplify]: Simplify 1.0 into 1.0 0.398 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.398 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.398 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.398 * [taylor]: Taking taylor expansion of -2.0 in k 0.398 * [backup-simplify]: Simplify -2.0 into -2.0 0.398 * [taylor]: Taking taylor expansion of PI in k 0.398 * [backup-simplify]: Simplify PI into PI 0.398 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.399 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.399 * [taylor]: Taking taylor expansion of (log n) in k 0.399 * [taylor]: Taking taylor expansion of n in k 0.399 * [backup-simplify]: Simplify n into n 0.399 * [backup-simplify]: Simplify (log n) into (log n) 0.399 * [backup-simplify]: Simplify (+ 1 0) into 1 0.399 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 0.400 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 0.401 * [backup-simplify]: Simplify (* 1 (- (log (* -2.0 PI)) (log n))) into (- (log (* -2.0 PI)) (log n)) 0.401 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 0.402 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.403 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.405 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 0.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.407 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.408 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.408 * [taylor]: Taking taylor expansion of 0 in k 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.412 * [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 0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.415 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 0.416 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in k 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify 0 into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.421 * [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 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 0.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.425 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 0.426 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in k 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.427 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.428 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 0.428 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.428 * [taylor]: Taking taylor expansion of 1.0 in k 0.428 * [backup-simplify]: Simplify 1.0 into 1.0 0.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.428 * [taylor]: Taking taylor expansion of k in k 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [backup-simplify]: Simplify (sqrt 0) into 0 0.429 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.429 * [taylor]: Taking taylor expansion of 1.0 in k 0.429 * [backup-simplify]: Simplify 1.0 into 1.0 0.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.429 * [taylor]: Taking taylor expansion of k in k 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.430 * [backup-simplify]: Simplify (sqrt 0) into 0 0.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.431 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.432 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.435 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.436 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.440 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.440 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.441 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 0.442 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 0.442 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.442 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [backup-simplify]: Simplify 1.0 into 1.0 0.442 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.442 * [taylor]: Taking taylor expansion of k in k 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (sqrt 0) into 0 0.443 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.443 * [taylor]: Taking taylor expansion of 1.0 in k 0.443 * [backup-simplify]: Simplify 1.0 into 1.0 0.443 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.443 * [taylor]: Taking taylor expansion of k in k 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (sqrt 0) into 0 0.444 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.444 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.444 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 0.445 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.449 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 0.449 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.453 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 0.453 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.454 * [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)))))))) 0.454 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 0.454 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.455 * [taylor]: Taking taylor expansion of 1.0 in k 0.455 * [backup-simplify]: Simplify 1.0 into 1.0 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.455 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.455 * [taylor]: Taking taylor expansion of -1 in k 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of k in k 0.455 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify 1 into 1 0.455 * [backup-simplify]: Simplify (/ -1 1) into -1 0.455 * [backup-simplify]: Simplify (sqrt 0) into 0 0.456 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.456 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.456 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.456 * [taylor]: Taking taylor expansion of 1.0 in k 0.456 * [backup-simplify]: Simplify 1.0 into 1.0 0.456 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.456 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.456 * [taylor]: Taking taylor expansion of -1 in k 0.456 * [backup-simplify]: Simplify -1 into -1 0.456 * [taylor]: Taking taylor expansion of k in k 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.457 * [backup-simplify]: Simplify (/ -1 1) into -1 0.457 * [backup-simplify]: Simplify (sqrt 0) into 0 0.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.458 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 0.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.462 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 0.462 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.467 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 0.468 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.468 * [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))))) 0.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.469 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.469 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.469 * [taylor]: Taking taylor expansion of 2.0 in n 0.469 * [backup-simplify]: Simplify 2.0 into 2.0 0.469 * [taylor]: Taking taylor expansion of (* n PI) in n 0.469 * [taylor]: Taking taylor expansion of n in n 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of PI in n 0.469 * [backup-simplify]: Simplify PI into PI 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.469 * [taylor]: Taking taylor expansion of 2.0 in n 0.469 * [backup-simplify]: Simplify 2.0 into 2.0 0.469 * [taylor]: Taking taylor expansion of (* n PI) in n 0.469 * [taylor]: Taking taylor expansion of n in n 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [taylor]: Taking taylor expansion of PI in n 0.469 * [backup-simplify]: Simplify PI into PI 0.469 * [backup-simplify]: Simplify (* 0 PI) into 0 0.470 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.472 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.472 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 0.476 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 0.489 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 0.489 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.489 * [taylor]: Taking taylor expansion of 2.0 in n 0.489 * [backup-simplify]: Simplify 2.0 into 2.0 0.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.489 * [taylor]: Taking taylor expansion of PI in n 0.489 * [backup-simplify]: Simplify PI into PI 0.489 * [taylor]: Taking taylor expansion of n in n 0.489 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ PI 1) into PI 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.490 * [taylor]: Taking taylor expansion of 2.0 in n 0.490 * [backup-simplify]: Simplify 2.0 into 2.0 0.490 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.490 * [taylor]: Taking taylor expansion of PI in n 0.490 * [backup-simplify]: Simplify PI into PI 0.490 * [taylor]: Taking taylor expansion of n in n 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ PI 1) into PI 0.490 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.491 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.494 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.498 * [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 0.499 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 0.500 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 0.500 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.500 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.500 * [taylor]: Taking taylor expansion of -2.0 in n 0.500 * [backup-simplify]: Simplify -2.0 into -2.0 0.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.500 * [taylor]: Taking taylor expansion of PI in n 0.500 * [backup-simplify]: Simplify PI into PI 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ PI 1) into PI 0.500 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.500 * [taylor]: Taking taylor expansion of -2.0 in n 0.500 * [backup-simplify]: Simplify -2.0 into -2.0 0.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.500 * [taylor]: Taking taylor expansion of PI in n 0.500 * [backup-simplify]: Simplify PI into PI 0.500 * [taylor]: Taking taylor expansion of n in n 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ PI 1) into PI 0.501 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.501 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [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 0.509 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 0.510 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.510 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) 0.511 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [backup-simplify]: Simplify 1.0 into 1.0 0.511 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.511 * [taylor]: Taking taylor expansion of k in n 0.511 * [backup-simplify]: Simplify k into k 0.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.511 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 0.511 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [backup-simplify]: Simplify 0.5 into 0.5 0.511 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [backup-simplify]: Simplify 1.0 into 1.0 0.511 * [taylor]: Taking taylor expansion of k in n 0.511 * [backup-simplify]: Simplify k into k 0.511 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.511 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.511 * [backup-simplify]: Simplify 2.0 into 2.0 0.511 * [taylor]: Taking taylor expansion of (* n PI) in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.511 * [taylor]: Taking taylor expansion of PI in n 0.511 * [backup-simplify]: Simplify PI into PI 0.512 * [backup-simplify]: Simplify (* 0 PI) into 0 0.512 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.514 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.514 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.514 * [backup-simplify]: Simplify (- k) into (- k) 0.514 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 0.515 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 0.515 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.516 * [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)))) 0.517 * [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))))) 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.517 * [taylor]: Taking taylor expansion of 1.0 in k 0.517 * [backup-simplify]: Simplify 1.0 into 1.0 0.517 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.517 * [taylor]: Taking taylor expansion of k in k 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [backup-simplify]: Simplify (sqrt 0) into 0 0.518 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.518 * [taylor]: Taking taylor expansion of 0.5 in k 0.518 * [backup-simplify]: Simplify 0.5 into 0.5 0.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.519 * [taylor]: Taking taylor expansion of 1.0 in k 0.519 * [backup-simplify]: Simplify 1.0 into 1.0 0.519 * [taylor]: Taking taylor expansion of k in k 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.519 * [taylor]: Taking taylor expansion of 2.0 in k 0.519 * [backup-simplify]: Simplify 2.0 into 2.0 0.519 * [taylor]: Taking taylor expansion of (* n PI) in k 0.519 * [taylor]: Taking taylor expansion of n in k 0.519 * [backup-simplify]: Simplify n into n 0.519 * [taylor]: Taking taylor expansion of PI in k 0.519 * [backup-simplify]: Simplify PI into PI 0.519 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.519 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.519 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.520 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.520 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.520 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.520 * [taylor]: Taking taylor expansion of 1.0 in k 0.520 * [backup-simplify]: Simplify 1.0 into 1.0 0.520 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.520 * [taylor]: Taking taylor expansion of k in k 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [backup-simplify]: Simplify (sqrt 0) into 0 0.522 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.522 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.522 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.522 * [taylor]: Taking taylor expansion of 0.5 in k 0.522 * [backup-simplify]: Simplify 0.5 into 0.5 0.522 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.522 * [taylor]: Taking taylor expansion of 1.0 in k 0.522 * [backup-simplify]: Simplify 1.0 into 1.0 0.522 * [taylor]: Taking taylor expansion of k in k 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.522 * [taylor]: Taking taylor expansion of 2.0 in k 0.522 * [backup-simplify]: Simplify 2.0 into 2.0 0.522 * [taylor]: Taking taylor expansion of (* n PI) in k 0.522 * [taylor]: Taking taylor expansion of n in k 0.522 * [backup-simplify]: Simplify n into n 0.522 * [taylor]: Taking taylor expansion of PI in k 0.522 * [backup-simplify]: Simplify PI into PI 0.522 * [backup-simplify]: Simplify (* n PI) into (* n PI) 0.522 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 0.522 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.523 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 0.523 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 0.523 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 0.523 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 (* n PI)) 0.5)) into 0 0.524 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.524 * [taylor]: Taking taylor expansion of 0 in n 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 0.524 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 0.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 0.525 * [backup-simplify]: Simplify (- 1) into -1 0.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.526 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 0.527 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 0.527 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.528 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 0.529 * [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))) 0.530 * [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 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of +nan.0 in n 0.530 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.530 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.530 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [backup-simplify]: Simplify 0.5 into 0.5 0.530 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.530 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.530 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [backup-simplify]: Simplify 1.0 into 1.0 0.530 * [taylor]: Taking taylor expansion of (log PI) in n 0.530 * [taylor]: Taking taylor expansion of PI in n 0.530 * [backup-simplify]: Simplify PI into PI 0.530 * [backup-simplify]: Simplify (log PI) into (log PI) 0.531 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.532 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.532 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.532 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [backup-simplify]: Simplify 1.0 into 1.0 0.532 * [taylor]: Taking taylor expansion of (log n) in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (log 1) into 0 0.533 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.533 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.533 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.533 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [backup-simplify]: Simplify 1.0 into 1.0 0.533 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.533 * [taylor]: Taking taylor expansion of 2.0 in n 0.533 * [backup-simplify]: Simplify 2.0 into 2.0 0.533 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.534 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.535 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.535 * [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) 0.536 * [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) 0.537 * [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)) 0.538 * [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))) 0.539 * [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) 0.540 * [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)) 0.540 * [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))) 0.541 * [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))) 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 0.543 * [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 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.544 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 0.546 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.550 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 0.554 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) 0.554 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.554 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of +nan.0 in n 0.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.554 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.554 * [taylor]: Taking taylor expansion of 0.5 in n 0.554 * [backup-simplify]: Simplify 0.5 into 0.5 0.554 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.554 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [backup-simplify]: Simplify 1.0 into 1.0 0.554 * [taylor]: Taking taylor expansion of (log PI) in n 0.554 * [taylor]: Taking taylor expansion of PI in n 0.554 * [backup-simplify]: Simplify PI into PI 0.555 * [backup-simplify]: Simplify (log PI) into (log PI) 0.555 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.556 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.556 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.556 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [backup-simplify]: Simplify 1.0 into 1.0 0.556 * [taylor]: Taking taylor expansion of (log n) in n 0.556 * [taylor]: Taking taylor expansion of n in n 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (log 1) into 0 0.557 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.557 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.557 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [backup-simplify]: Simplify 1.0 into 1.0 0.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.557 * [taylor]: Taking taylor expansion of 2.0 in n 0.557 * [backup-simplify]: Simplify 2.0 into 2.0 0.557 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.558 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.559 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.560 * [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) 0.560 * [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) 0.561 * [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)) 0.562 * [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))) 0.563 * [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) 0.563 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.563 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.563 * [taylor]: Taking taylor expansion of +nan.0 in n 0.563 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.563 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.563 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.563 * [taylor]: Taking taylor expansion of 0.5 in n 0.563 * [backup-simplify]: Simplify 0.5 into 0.5 0.563 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.563 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.563 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [backup-simplify]: Simplify 1.0 into 1.0 0.563 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.563 * [taylor]: Taking taylor expansion of 2.0 in n 0.563 * [backup-simplify]: Simplify 2.0 into 2.0 0.563 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.564 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.565 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.565 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [backup-simplify]: Simplify 1.0 into 1.0 0.565 * [taylor]: Taking taylor expansion of (log PI) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.565 * [backup-simplify]: Simplify PI into PI 0.565 * [backup-simplify]: Simplify (log PI) into (log PI) 0.566 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.567 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.567 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [backup-simplify]: Simplify 1.0 into 1.0 0.567 * [taylor]: Taking taylor expansion of (log n) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (log 1) into 0 0.568 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.568 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.568 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.568 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.569 * [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) 0.570 * [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)) 0.571 * [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))) 0.571 * [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) 0.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.572 * [taylor]: Taking taylor expansion of 2.0 in n 0.572 * [backup-simplify]: Simplify 2.0 into 2.0 0.572 * [taylor]: Taking taylor expansion of (* n PI) in n 0.572 * [taylor]: Taking taylor expansion of n in n 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [taylor]: Taking taylor expansion of PI in n 0.572 * [backup-simplify]: Simplify PI into PI 0.572 * [backup-simplify]: Simplify (* 0 PI) into 0 0.572 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.573 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.574 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.575 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.576 * [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)) 0.582 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.584 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.586 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.587 * [backup-simplify]: Simplify (- (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 0.591 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.595 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.599 * [backup-simplify]: Simplify (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 0.601 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 0.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.603 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 0.603 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 0.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 0.606 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 0.608 * [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 0.609 * [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 0.610 * [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 0.612 * [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 0.612 * [backup-simplify]: Simplify (- 0) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 0.615 * [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 0.615 * [backup-simplify]: Simplify (- 0) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 0.618 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.624 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 (* n PI))) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 (* n PI))) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* +nan.0 (pow (* 2.0 (* n PI)) 0.5))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 0.631 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 0.631 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.631 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.631 * [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 0.631 * [taylor]: Taking taylor expansion of +nan.0 in n 0.631 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.631 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.632 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.632 * [taylor]: Taking taylor expansion of 0.5 in n 0.632 * [backup-simplify]: Simplify 0.5 into 0.5 0.632 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.632 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.632 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.632 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.632 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.632 * [taylor]: Taking taylor expansion of 1.0 in n 0.632 * [backup-simplify]: Simplify 1.0 into 1.0 0.632 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.632 * [taylor]: Taking taylor expansion of 2.0 in n 0.632 * [backup-simplify]: Simplify 2.0 into 2.0 0.632 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.633 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.634 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.634 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.634 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [backup-simplify]: Simplify 1.0 into 1.0 0.634 * [taylor]: Taking taylor expansion of (log n) in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (log 1) into 0 0.634 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.634 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.634 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.634 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [backup-simplify]: Simplify 1.0 into 1.0 0.635 * [taylor]: Taking taylor expansion of (log PI) in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.635 * [backup-simplify]: Simplify PI into PI 0.635 * [backup-simplify]: Simplify (log PI) into (log PI) 0.636 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.637 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.637 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.638 * [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) 0.639 * [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)) 0.640 * [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))) 0.640 * [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) 0.640 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.641 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.641 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.641 * [taylor]: Taking taylor expansion of +nan.0 in n 0.641 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.641 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.641 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.641 * [taylor]: Taking taylor expansion of 0.5 in n 0.641 * [backup-simplify]: Simplify 0.5 into 0.5 0.641 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.641 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.641 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [backup-simplify]: Simplify 1.0 into 1.0 0.641 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.641 * [taylor]: Taking taylor expansion of 2.0 in n 0.641 * [backup-simplify]: Simplify 2.0 into 2.0 0.641 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.642 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.643 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.643 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.643 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.643 * [taylor]: Taking taylor expansion of 1.0 in n 0.643 * [backup-simplify]: Simplify 1.0 into 1.0 0.643 * [taylor]: Taking taylor expansion of (log PI) in n 0.643 * [taylor]: Taking taylor expansion of PI in n 0.643 * [backup-simplify]: Simplify PI into PI 0.643 * [backup-simplify]: Simplify (log PI) into (log PI) 0.644 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.645 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.645 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.645 * [taylor]: Taking taylor expansion of 1.0 in n 0.645 * [backup-simplify]: Simplify 1.0 into 1.0 0.645 * [taylor]: Taking taylor expansion of (log n) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 1 into 1 0.645 * [backup-simplify]: Simplify (log 1) into 0 0.646 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.646 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.646 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.646 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.647 * [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) 0.648 * [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)) 0.648 * [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))) 0.649 * [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) 0.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.649 * [taylor]: Taking taylor expansion of 2.0 in n 0.649 * [backup-simplify]: Simplify 2.0 into 2.0 0.649 * [taylor]: Taking taylor expansion of (* n PI) in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.649 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [taylor]: Taking taylor expansion of PI in n 0.650 * [backup-simplify]: Simplify PI into PI 0.650 * [backup-simplify]: Simplify (* 0 PI) into 0 0.650 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.651 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.652 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.653 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.653 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.653 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.653 * [taylor]: Taking taylor expansion of +nan.0 in n 0.653 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.653 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.653 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.653 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.653 * [taylor]: Taking taylor expansion of 0.5 in n 0.653 * [backup-simplify]: Simplify 0.5 into 0.5 0.653 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.653 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.653 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.653 * [taylor]: Taking taylor expansion of 1.0 in n 0.653 * [backup-simplify]: Simplify 1.0 into 1.0 0.653 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.653 * [taylor]: Taking taylor expansion of 2.0 in n 0.653 * [backup-simplify]: Simplify 2.0 into 2.0 0.653 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.654 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 0.655 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 0.655 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.655 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [backup-simplify]: Simplify 1.0 into 1.0 0.655 * [taylor]: Taking taylor expansion of (log PI) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [backup-simplify]: Simplify PI into PI 0.655 * [backup-simplify]: Simplify (log PI) into (log PI) 0.656 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 0.657 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 0.657 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.657 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [backup-simplify]: Simplify 1.0 into 1.0 0.657 * [taylor]: Taking taylor expansion of (log n) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (log 1) into 0 0.657 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 0.658 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 0.658 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 0.658 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 0.659 * [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) 0.660 * [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)) 0.660 * [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))) 0.661 * [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) 0.661 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.662 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.662 * [taylor]: Taking taylor expansion of 2.0 in n 0.662 * [backup-simplify]: Simplify 2.0 into 2.0 0.662 * [taylor]: Taking taylor expansion of (* n PI) in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [taylor]: Taking taylor expansion of PI in n 0.662 * [backup-simplify]: Simplify PI into PI 0.662 * [backup-simplify]: Simplify (* 0 PI) into 0 0.662 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 0.664 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 0.665 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.666 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.667 * [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)) 0.667 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.669 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.671 * [backup-simplify]: Simplify (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.671 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.672 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 0.679 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 0.681 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 0.682 * [backup-simplify]: Simplify (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 0.684 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (+ (log (* 2.0 PI)) (log n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 0.691 * [backup-simplify]: Simplify (+ (* +nan.0 (* (+ (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) 0.700 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) 0.710 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 0.720 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 0.729 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 0.745 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) 0.746 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) 0.746 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.746 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.746 * [taylor]: Taking taylor expansion of 1.0 in n 0.746 * [backup-simplify]: Simplify 1.0 into 1.0 0.746 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.746 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.746 * [backup-simplify]: Simplify k into k 0.746 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 0.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 0.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.747 * [taylor]: Taking taylor expansion of 0.5 in n 0.747 * [backup-simplify]: Simplify 0.5 into 0.5 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.747 * [taylor]: Taking taylor expansion of 1.0 in n 0.747 * [backup-simplify]: Simplify 1.0 into 1.0 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.747 * [taylor]: Taking taylor expansion of k in n 0.747 * [backup-simplify]: Simplify k into k 0.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.747 * [taylor]: Taking taylor expansion of 2.0 in n 0.747 * [backup-simplify]: Simplify 2.0 into 2.0 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.747 * [taylor]: Taking taylor expansion of PI in n 0.747 * [backup-simplify]: Simplify PI into PI 0.747 * [taylor]: Taking taylor expansion of n in n 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (/ PI 1) into PI 0.748 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.748 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.748 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.748 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.748 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 0.749 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.750 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.751 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.751 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.751 * [taylor]: Taking taylor expansion of 1.0 in k 0.751 * [backup-simplify]: Simplify 1.0 into 1.0 0.751 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.751 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.751 * [taylor]: Taking taylor expansion of k in k 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (sqrt 0) into 0 0.752 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.752 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.752 * [taylor]: Taking taylor expansion of 0.5 in k 0.752 * [backup-simplify]: Simplify 0.5 into 0.5 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.752 * [taylor]: Taking taylor expansion of 1.0 in k 0.752 * [backup-simplify]: Simplify 1.0 into 1.0 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.752 * [taylor]: Taking taylor expansion of k in k 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ 1 1) into 1 0.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.753 * [taylor]: Taking taylor expansion of 2.0 in k 0.753 * [backup-simplify]: Simplify 2.0 into 2.0 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.753 * [taylor]: Taking taylor expansion of PI in k 0.753 * [backup-simplify]: Simplify PI into PI 0.753 * [taylor]: Taking taylor expansion of n in k 0.753 * [backup-simplify]: Simplify n into n 0.753 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.753 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.753 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.753 * [backup-simplify]: Simplify (- 1) into -1 0.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.754 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.754 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.754 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0.754 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.754 * [taylor]: Taking taylor expansion of 1.0 in k 0.754 * [backup-simplify]: Simplify 1.0 into 1.0 0.754 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.754 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.754 * [taylor]: Taking taylor expansion of k in k 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (sqrt 0) into 0 0.755 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.755 * [taylor]: Taking taylor expansion of 0.5 in k 0.755 * [backup-simplify]: Simplify 0.5 into 0.5 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.755 * [taylor]: Taking taylor expansion of 1.0 in k 0.755 * [backup-simplify]: Simplify 1.0 into 1.0 0.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.755 * [taylor]: Taking taylor expansion of k in k 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (/ 1 1) into 1 0.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.756 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.756 * [taylor]: Taking taylor expansion of 2.0 in k 0.756 * [backup-simplify]: Simplify 2.0 into 2.0 0.756 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.756 * [taylor]: Taking taylor expansion of PI in k 0.756 * [backup-simplify]: Simplify PI into PI 0.756 * [taylor]: Taking taylor expansion of n in k 0.756 * [backup-simplify]: Simplify n into n 0.756 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.756 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 0.756 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 0.756 * [backup-simplify]: Simplify (- 1) into -1 0.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.757 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 0.757 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 0.757 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) 0.757 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) into 0 0.757 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.757 * [taylor]: Taking taylor expansion of 0 in n 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.758 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.758 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.758 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.758 * [taylor]: Taking taylor expansion of +nan.0 in n 0.758 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.759 * [taylor]: Taking taylor expansion of 0.5 in n 0.759 * [backup-simplify]: Simplify 0.5 into 0.5 0.759 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.759 * [taylor]: Taking taylor expansion of 2.0 in n 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.759 * [taylor]: Taking taylor expansion of PI in n 0.759 * [backup-simplify]: Simplify PI into PI 0.759 * [taylor]: Taking taylor expansion of n in n 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (/ PI 1) into PI 0.759 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.760 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.760 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [backup-simplify]: Simplify 1.0 into 1.0 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.760 * [taylor]: Taking taylor expansion of k in n 0.760 * [backup-simplify]: Simplify k into k 0.760 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.761 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.761 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.762 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.763 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.763 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.764 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 0.765 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.766 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.766 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.774 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.774 * [taylor]: Taking taylor expansion of +nan.0 in n 0.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.774 * [taylor]: Taking taylor expansion of 0.5 in n 0.774 * [backup-simplify]: Simplify 0.5 into 0.5 0.774 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.774 * [taylor]: Taking taylor expansion of 2.0 in n 0.774 * [backup-simplify]: Simplify 2.0 into 2.0 0.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.774 * [taylor]: Taking taylor expansion of PI in n 0.774 * [backup-simplify]: Simplify PI into PI 0.774 * [taylor]: Taking taylor expansion of n in n 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ PI 1) into PI 0.775 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.776 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.776 * [taylor]: Taking taylor expansion of 1.0 in n 0.776 * [backup-simplify]: Simplify 1.0 into 1.0 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.776 * [taylor]: Taking taylor expansion of k in n 0.776 * [backup-simplify]: Simplify k into k 0.776 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.777 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.777 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.777 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.778 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.779 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.779 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.780 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 0.781 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.782 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.783 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.783 * [backup-simplify]: Simplify (- 0) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 0.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 0.786 * [backup-simplify]: Simplify (+ (* (- (log (* 2.0 PI)) (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into 0 0.788 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into 0 0.789 * [backup-simplify]: Simplify (- 0) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.794 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) 0.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.794 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.794 * [taylor]: Taking taylor expansion of +nan.0 in n 0.794 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.794 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.794 * [taylor]: Taking taylor expansion of 0.5 in n 0.794 * [backup-simplify]: Simplify 0.5 into 0.5 0.794 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.794 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.794 * [taylor]: Taking taylor expansion of 2.0 in n 0.794 * [backup-simplify]: Simplify 2.0 into 2.0 0.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.794 * [taylor]: Taking taylor expansion of PI in n 0.794 * [backup-simplify]: Simplify PI into PI 0.794 * [taylor]: Taking taylor expansion of n in n 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (/ PI 1) into PI 0.794 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 0.795 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 0.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.795 * [taylor]: Taking taylor expansion of 1.0 in n 0.795 * [backup-simplify]: Simplify 1.0 into 1.0 0.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.795 * [taylor]: Taking taylor expansion of k in n 0.795 * [backup-simplify]: Simplify k into k 0.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 0.796 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 0.797 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 0.797 * [backup-simplify]: Simplify (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) into (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 0.798 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) into (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) 0.799 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 0.800 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) 0.800 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.801 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) 0.804 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) 0.805 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 0.805 * [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 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [backup-simplify]: Simplify 1.0 into 1.0 0.805 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.805 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.805 * [taylor]: Taking taylor expansion of 0.5 in n 0.805 * [backup-simplify]: Simplify 0.5 into 0.5 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.805 * [taylor]: Taking taylor expansion of k in n 0.805 * [backup-simplify]: Simplify k into k 0.805 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [backup-simplify]: Simplify 1.0 into 1.0 0.805 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.805 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.805 * [taylor]: Taking taylor expansion of -2.0 in n 0.805 * [backup-simplify]: Simplify -2.0 into -2.0 0.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.805 * [taylor]: Taking taylor expansion of PI in n 0.805 * [backup-simplify]: Simplify PI into PI 0.805 * [taylor]: Taking taylor expansion of n in n 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ PI 1) into PI 0.806 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.807 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.807 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.807 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 0.808 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.808 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.809 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.809 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.809 * [taylor]: Taking taylor expansion of -1 in n 0.809 * [backup-simplify]: Simplify -1 into -1 0.809 * [taylor]: Taking taylor expansion of k in n 0.809 * [backup-simplify]: Simplify k into k 0.809 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 0.809 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 0.809 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 0.810 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) 0.810 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.810 * [taylor]: Taking taylor expansion of 1.0 in k 0.810 * [backup-simplify]: Simplify 1.0 into 1.0 0.810 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.810 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.810 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.810 * [taylor]: Taking taylor expansion of 0.5 in k 0.810 * [backup-simplify]: Simplify 0.5 into 0.5 0.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.811 * [taylor]: Taking taylor expansion of k in k 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 1 into 1 0.811 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [taylor]: Taking taylor expansion of 1.0 in k 0.811 * [backup-simplify]: Simplify 1.0 into 1.0 0.811 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.811 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.811 * [taylor]: Taking taylor expansion of -2.0 in k 0.811 * [backup-simplify]: Simplify -2.0 into -2.0 0.811 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.811 * [taylor]: Taking taylor expansion of PI in k 0.811 * [backup-simplify]: Simplify PI into PI 0.811 * [taylor]: Taking taylor expansion of n in k 0.811 * [backup-simplify]: Simplify n into n 0.811 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.811 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.811 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.811 * [backup-simplify]: Simplify (+ 1 0) into 1 0.812 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.812 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.812 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.812 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.812 * [taylor]: Taking taylor expansion of -1 in k 0.812 * [backup-simplify]: Simplify -1 into -1 0.812 * [taylor]: Taking taylor expansion of k in k 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (/ -1 1) into -1 0.813 * [backup-simplify]: Simplify (sqrt 0) into 0 0.813 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.814 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 0.814 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.814 * [taylor]: Taking taylor expansion of 1.0 in k 0.814 * [backup-simplify]: Simplify 1.0 into 1.0 0.814 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.814 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.814 * [taylor]: Taking taylor expansion of 0.5 in k 0.814 * [backup-simplify]: Simplify 0.5 into 0.5 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.814 * [taylor]: Taking taylor expansion of k in k 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [taylor]: Taking taylor expansion of 1.0 in k 0.814 * [backup-simplify]: Simplify 1.0 into 1.0 0.814 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.814 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.814 * [taylor]: Taking taylor expansion of -2.0 in k 0.814 * [backup-simplify]: Simplify -2.0 into -2.0 0.814 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.814 * [taylor]: Taking taylor expansion of PI in k 0.814 * [backup-simplify]: Simplify PI into PI 0.814 * [taylor]: Taking taylor expansion of n in k 0.814 * [backup-simplify]: Simplify n into n 0.814 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 0.814 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 0.815 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 0.815 * [backup-simplify]: Simplify (+ 1 0) into 1 0.815 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.815 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 0.815 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) 0.815 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.815 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.815 * [taylor]: Taking taylor expansion of -1 in k 0.815 * [backup-simplify]: Simplify -1 into -1 0.815 * [taylor]: Taking taylor expansion of k in k 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (/ -1 1) into -1 0.816 * [backup-simplify]: Simplify (sqrt 0) into 0 0.817 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.817 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 0.817 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.817 * [taylor]: Taking taylor expansion of +nan.0 in n 0.817 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.817 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.817 * [taylor]: Taking taylor expansion of 0.5 in n 0.817 * [backup-simplify]: Simplify 0.5 into 0.5 0.817 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.817 * [taylor]: Taking taylor expansion of k in n 0.817 * [backup-simplify]: Simplify k into k 0.817 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.817 * [taylor]: Taking taylor expansion of 1.0 in n 0.817 * [backup-simplify]: Simplify 1.0 into 1.0 0.817 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.817 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.818 * [taylor]: Taking taylor expansion of -2.0 in n 0.818 * [backup-simplify]: Simplify -2.0 into -2.0 0.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.818 * [taylor]: Taking taylor expansion of PI in n 0.818 * [backup-simplify]: Simplify PI into PI 0.818 * [taylor]: Taking taylor expansion of n in n 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ PI 1) into PI 0.818 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.819 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.819 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.821 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.821 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.822 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.823 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.824 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.827 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.827 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.827 * [taylor]: Taking taylor expansion of +nan.0 in n 0.827 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.827 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.827 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.827 * [taylor]: Taking taylor expansion of 0.5 in n 0.827 * [backup-simplify]: Simplify 0.5 into 0.5 0.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.827 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.827 * [taylor]: Taking taylor expansion of k in n 0.827 * [backup-simplify]: Simplify k into k 0.827 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.827 * [taylor]: Taking taylor expansion of 1.0 in n 0.827 * [backup-simplify]: Simplify 1.0 into 1.0 0.827 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.827 * [taylor]: Taking taylor expansion of -2.0 in n 0.827 * [backup-simplify]: Simplify -2.0 into -2.0 0.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.827 * [taylor]: Taking taylor expansion of PI in n 0.828 * [backup-simplify]: Simplify PI into PI 0.828 * [taylor]: Taking taylor expansion of n in n 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (/ PI 1) into PI 0.828 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.829 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.829 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.831 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.831 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.832 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.833 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.834 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.834 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 0.837 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.839 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into 0 0.841 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.846 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.847 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) 0.847 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.847 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.847 * [taylor]: Taking taylor expansion of +nan.0 in n 0.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.847 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.847 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.847 * [taylor]: Taking taylor expansion of 0.5 in n 0.847 * [backup-simplify]: Simplify 0.5 into 0.5 0.847 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.847 * [taylor]: Taking taylor expansion of k in n 0.847 * [backup-simplify]: Simplify k into k 0.847 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 0.847 * [taylor]: Taking taylor expansion of 1.0 in n 0.847 * [backup-simplify]: Simplify 1.0 into 1.0 0.847 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.847 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.847 * [taylor]: Taking taylor expansion of -2.0 in n 0.847 * [backup-simplify]: Simplify -2.0 into -2.0 0.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.847 * [taylor]: Taking taylor expansion of PI in n 0.847 * [backup-simplify]: Simplify PI into PI 0.847 * [taylor]: Taking taylor expansion of n in n 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ PI 1) into PI 0.848 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 0.849 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 0.849 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 0.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 0.851 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) into (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 0.851 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) into (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) 0.852 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 0.853 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) 0.854 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.854 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))))) 0.857 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (- (log (* -2.0 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.857 * * * [progress]: simplifying candidates 0.860 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt 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h3)) (/ (- h2 h1) h0))) (+ (- (log h2) (log (sqrt h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (+ (log (/ h2 (sqrt h1))) (* (+ (+ (log h0) (log h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (+ (log (* h0 h4)) (log h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (* (log (* (* h0 h4) h3)) (/ (- h2 h1) h0))) (+ (log (/ h2 (sqrt h1))) (log (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (log (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (exp (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (* (* h2 h2) h2) (* (* (sqrt h1) (sqrt h1)) (sqrt h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (* (* (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (cbrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* h2 (pow (* (* h0 h4) h3) (/ h2 h0))) (* (sqrt h1) (pow (* (* h0 h4) h3) (/ h1 h0))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (* (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (cbrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))))) (* (/ h2 (sqrt h1)) (sqrt (pow (* (* h0 h4) h3) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) 1) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (cbrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (cbrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ 1 (sqrt h1)) (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* (* h0 h4) h3) (/ h2 h0))) (* h2 (pow (* (* h0 h4) h3) (/ (- h2 h1) h0))) (- (+ (* h7 (* (pow h1 2) (* (pow (log (* h0 h4)) 2) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h7 (* (pow h1 2) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (pow (log h3) 2)))) (+ (* h6 (* (pow h1 2) (* (log (* h0 h4)) (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3))))) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (+ (* h5 (* h1 (* (log (* h0 h4)) (exp (* h5 (+ (log (* h0 h4)) (log h3))))))) (* h5 (* h1 (* (exp (* h5 (+ (log (* h0 h4)) (log h3)))) (log h3)))))) (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (- (+ (* h9 h1) (- (+ (* h9 (pow h1 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- (* h9 (/ 1 (pow h1 3)))))))) (- (+ (* h9 (/ 1 (pow h1 2))) (- (+ (* h9 (/ 1 h1)) (- h9))))) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (* h0 (* h3 h4)) (- (+ (* h9 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (log (* h0 h4))) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (* (log (* h0 h4)) (log h3))) (pow (* (pow h4 h2) (* (pow h0 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* h1 (log (* h0 h4))) (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5))) (- (+ (* h9 (* (* (pow h1 2) (pow (log h3) 2)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (* (* h1 (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h9 (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)) (- (+ (* h9 (* (pow h1 2) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5))) (- (* h9 (* h1 (pow (* (pow h0 h2) (* (pow h3 h2) (pow h4 h2))) h5)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (pow h1 3))) (- (+ (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) h1)) (- (* h9 (/ (exp (* h5 (* (- (log (* h0 h4)) (log (/ 1 h3))) (- h2 h1)))) (pow h1 2)))))))) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) h1)) (- (+ (* h9 (/ (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))) (pow h1 2))) (- (* h9 (exp (* h5 (* (- h2 h1) (- (log (* h8 h4)) (log (/ -1 h3)))))))))))) 0.955 * * * [progress]: adding candidates to table 1.383 * * [progress]: iteration 2 / 4 1.383 * * * [progress]: picking best candidate 1.407 * * * * [pick]: Picked # 1.408 * * * [progress]: localizing error 1.426 * * * [progress]: generating rewritten candidates 1.426 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.434 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.457 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.493 * * * [progress]: generating series expansions 1.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.494 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 1.494 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.494 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.494 * [taylor]: Taking taylor expansion of 0.5 in k 1.494 * [backup-simplify]: Simplify 0.5 into 0.5 1.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [backup-simplify]: Simplify 1.0 into 1.0 1.494 * [taylor]: Taking taylor expansion of k in k 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [taylor]: Taking taylor expansion of (log n) in k 1.494 * [taylor]: Taking taylor expansion of n in k 1.494 * [backup-simplify]: Simplify n into n 1.494 * [backup-simplify]: Simplify (log n) into (log n) 1.494 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.495 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.495 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 1.495 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 1.495 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.495 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.495 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.495 * [taylor]: Taking taylor expansion of 0.5 in n 1.495 * [backup-simplify]: Simplify 0.5 into 0.5 1.495 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.495 * [taylor]: Taking taylor expansion of 1.0 in n 1.495 * [backup-simplify]: Simplify 1.0 into 1.0 1.495 * [taylor]: Taking taylor expansion of k in n 1.495 * [backup-simplify]: Simplify k into k 1.495 * [taylor]: Taking taylor expansion of (log n) in n 1.495 * [taylor]: Taking taylor expansion of n in n 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (log 1) into 0 1.496 * [backup-simplify]: Simplify (- k) into (- k) 1.496 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.496 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.496 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.496 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 1.496 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 1.496 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.496 * [taylor]: Taking taylor expansion of 0.5 in n 1.496 * [backup-simplify]: Simplify 0.5 into 0.5 1.496 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [backup-simplify]: Simplify 1.0 into 1.0 1.496 * [taylor]: Taking taylor expansion of k in n 1.496 * [backup-simplify]: Simplify k into k 1.496 * [taylor]: Taking taylor expansion of (log n) in n 1.496 * [taylor]: Taking taylor expansion of n in n 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (log 1) into 0 1.497 * [backup-simplify]: Simplify (- k) into (- k) 1.497 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 1.497 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 1.497 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.497 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 1.497 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 1.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.497 * [taylor]: Taking taylor expansion of 0.5 in k 1.498 * [backup-simplify]: Simplify 0.5 into 0.5 1.498 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.498 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.498 * [taylor]: Taking taylor expansion of 1.0 in k 1.498 * [backup-simplify]: Simplify 1.0 into 1.0 1.498 * [taylor]: Taking taylor expansion of k in k 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.498 * [taylor]: Taking taylor expansion of (log n) in k 1.498 * [taylor]: Taking taylor expansion of n in k 1.498 * [backup-simplify]: Simplify n into n 1.498 * [backup-simplify]: Simplify (log n) into (log n) 1.498 * [backup-simplify]: Simplify (- 0) into 0 1.498 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.498 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 1.498 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 1.498 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 1.499 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 1.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.500 * [backup-simplify]: Simplify (- 0) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 1.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.501 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 1.501 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.501 * [taylor]: Taking taylor expansion of 0 in k 1.501 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1.502 * [backup-simplify]: Simplify (- 1) into -1 1.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.503 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 1.503 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 1.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 1.503 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 1.505 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.505 * [backup-simplify]: Simplify (- 0) into 0 1.506 * [backup-simplify]: Simplify (+ 0 0) into 0 1.506 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 1.506 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1.507 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1.508 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.508 * [taylor]: Taking taylor expansion of 0 in k 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1.509 * [backup-simplify]: Simplify (- 0) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 1.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 1.511 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 1.511 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 1.512 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 1.512 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 1.512 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.512 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.512 * [taylor]: Taking taylor expansion of 0.5 in k 1.512 * [backup-simplify]: Simplify 0.5 into 0.5 1.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.512 * [taylor]: Taking taylor expansion of 1.0 in k 1.512 * [backup-simplify]: Simplify 1.0 into 1.0 1.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.512 * [taylor]: Taking taylor expansion of k in k 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (/ 1 1) into 1 1.513 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.513 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.513 * [taylor]: Taking taylor expansion of n in k 1.513 * [backup-simplify]: Simplify n into n 1.513 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 1.513 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1.513 * [backup-simplify]: Simplify (- 1) into -1 1.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.514 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.514 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 1.514 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 1.514 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.514 * [taylor]: Taking taylor expansion of 0.5 in n 1.514 * [backup-simplify]: Simplify 0.5 into 0.5 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.514 * [taylor]: Taking taylor expansion of 1.0 in n 1.514 * [backup-simplify]: Simplify 1.0 into 1.0 1.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.514 * [taylor]: Taking taylor expansion of k in n 1.514 * [backup-simplify]: Simplify k into k 1.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.514 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (log 1) into 0 1.515 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.515 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.515 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1.515 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 1.515 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 1.515 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.515 * [taylor]: Taking taylor expansion of 0.5 in n 1.516 * [backup-simplify]: Simplify 0.5 into 0.5 1.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [backup-simplify]: Simplify 1.0 into 1.0 1.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.516 * [taylor]: Taking taylor expansion of k in n 1.516 * [backup-simplify]: Simplify k into k 1.516 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.516 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.516 * [taylor]: Taking taylor expansion of n in n 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [backup-simplify]: Simplify (log 1) into 0 1.516 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1.516 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 1.516 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 1.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1.517 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 1.517 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 1.517 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.517 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.517 * [taylor]: Taking taylor expansion of -0.5 in k 1.517 * [backup-simplify]: Simplify -0.5 into -0.5 1.517 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.517 * [taylor]: Taking taylor expansion of (log n) in k 1.517 * [taylor]: Taking taylor expansion of n in k 1.517 * [backup-simplify]: Simplify n into n 1.517 * [backup-simplify]: Simplify (log n) into (log n) 1.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.517 * [taylor]: Taking taylor expansion of 1.0 in k 1.517 * [backup-simplify]: Simplify 1.0 into 1.0 1.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.517 * [taylor]: Taking taylor expansion of k in k 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (/ 1 1) into 1 1.518 * [backup-simplify]: Simplify (- 1) into -1 1.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.518 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 1.518 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 1.518 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 1.518 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.525 * [backup-simplify]: Simplify (- 0) into 0 1.525 * [backup-simplify]: Simplify (+ 0 0) into 0 1.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 1.526 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1.526 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1.526 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.526 * [taylor]: Taking taylor expansion of 0 in k 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.529 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 1.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1.530 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1.531 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.531 * [taylor]: Taking taylor expansion of 0 in k 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.531 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.535 * [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 1.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.535 * [backup-simplify]: Simplify (- 0) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 1.536 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1.537 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1.538 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.538 * [taylor]: Taking taylor expansion of 0 in k 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify 0 into 0 1.538 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 1.538 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 1.538 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.538 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.538 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.538 * [taylor]: Taking taylor expansion of 0.5 in k 1.539 * [backup-simplify]: Simplify 0.5 into 0.5 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.539 * [taylor]: Taking taylor expansion of k in k 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [backup-simplify]: Simplify (/ 1 1) into 1 1.539 * [taylor]: Taking taylor expansion of 1.0 in k 1.539 * [backup-simplify]: Simplify 1.0 into 1.0 1.539 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.539 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.539 * [taylor]: Taking taylor expansion of -1 in k 1.539 * [backup-simplify]: Simplify -1 into -1 1.539 * [taylor]: Taking taylor expansion of n in k 1.539 * [backup-simplify]: Simplify n into n 1.539 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 1.539 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1.539 * [backup-simplify]: Simplify (+ 1 0) into 1 1.540 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.540 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 1.540 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 1.540 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.540 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.540 * [taylor]: Taking taylor expansion of 0.5 in n 1.540 * [backup-simplify]: Simplify 0.5 into 0.5 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.540 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.540 * [taylor]: Taking taylor expansion of k in n 1.540 * [backup-simplify]: Simplify k into k 1.540 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.540 * [taylor]: Taking taylor expansion of 1.0 in n 1.540 * [backup-simplify]: Simplify 1.0 into 1.0 1.540 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.540 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.540 * [taylor]: Taking taylor expansion of -1 in n 1.540 * [backup-simplify]: Simplify -1 into -1 1.540 * [taylor]: Taking taylor expansion of n in n 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (/ -1 1) into -1 1.541 * [backup-simplify]: Simplify (log -1) into (log -1) 1.541 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.541 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.541 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1.542 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 1.542 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 1.542 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.542 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.542 * [taylor]: Taking taylor expansion of 0.5 in n 1.542 * [backup-simplify]: Simplify 0.5 into 0.5 1.542 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.542 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.542 * [taylor]: Taking taylor expansion of k in n 1.542 * [backup-simplify]: Simplify k into k 1.542 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 1.542 * [taylor]: Taking taylor expansion of 1.0 in n 1.542 * [backup-simplify]: Simplify 1.0 into 1.0 1.542 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.542 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.542 * [taylor]: Taking taylor expansion of -1 in n 1.542 * [backup-simplify]: Simplify -1 into -1 1.542 * [taylor]: Taking taylor expansion of n in n 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (/ -1 1) into -1 1.543 * [backup-simplify]: Simplify (log -1) into (log -1) 1.543 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 1.543 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 1.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1.544 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 1.544 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 1.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.545 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.545 * [taylor]: Taking taylor expansion of 0.5 in k 1.545 * [backup-simplify]: Simplify 0.5 into 0.5 1.545 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.545 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.545 * [taylor]: Taking taylor expansion of (log -1) in k 1.545 * [taylor]: Taking taylor expansion of -1 in k 1.545 * [backup-simplify]: Simplify -1 into -1 1.545 * [backup-simplify]: Simplify (log -1) into (log -1) 1.545 * [taylor]: Taking taylor expansion of (log n) in k 1.545 * [taylor]: Taking taylor expansion of n in k 1.545 * [backup-simplify]: Simplify n into n 1.545 * [backup-simplify]: Simplify (log n) into (log n) 1.545 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.545 * [taylor]: Taking taylor expansion of k in k 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (/ 1 1) into 1 1.545 * [taylor]: Taking taylor expansion of 1.0 in k 1.545 * [backup-simplify]: Simplify 1.0 into 1.0 1.545 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 1.546 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1.546 * [backup-simplify]: Simplify (+ 1 0) into 1 1.546 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 1.547 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 1.547 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 1.547 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 1.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 1.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1.550 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 1.551 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.551 * [taylor]: Taking taylor expansion of 0 in k 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.554 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 1.555 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1.555 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1.557 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.557 * [taylor]: Taking taylor expansion of 0 in k 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.560 * [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 1.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 1.562 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1.563 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1.564 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in k 1.564 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 1.565 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.565 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) 1.565 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.566 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.566 * [taylor]: Taking taylor expansion of 0.5 in k 1.566 * [backup-simplify]: Simplify 0.5 into 0.5 1.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.566 * [taylor]: Taking taylor expansion of 1.0 in k 1.566 * [backup-simplify]: Simplify 1.0 into 1.0 1.566 * [taylor]: Taking taylor expansion of k in k 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.566 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.566 * [taylor]: Taking taylor expansion of 2.0 in k 1.566 * [backup-simplify]: Simplify 2.0 into 2.0 1.566 * [taylor]: Taking taylor expansion of PI in k 1.566 * [backup-simplify]: Simplify PI into PI 1.566 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.567 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.568 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.569 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.570 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 1.570 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.570 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.570 * [taylor]: Taking taylor expansion of 0.5 in k 1.570 * [backup-simplify]: Simplify 0.5 into 0.5 1.570 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.570 * [taylor]: Taking taylor expansion of 1.0 in k 1.570 * [backup-simplify]: Simplify 1.0 into 1.0 1.570 * [taylor]: Taking taylor expansion of k in k 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.571 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.571 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.571 * [taylor]: Taking taylor expansion of 2.0 in k 1.571 * [backup-simplify]: Simplify 2.0 into 2.0 1.571 * [taylor]: Taking taylor expansion of PI in k 1.571 * [backup-simplify]: Simplify PI into PI 1.571 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.572 * [backup-simplify]: Simplify (- 0) into 0 1.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.573 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.574 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.575 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 1.576 * [backup-simplify]: Simplify (pow (* 2.0 PI) 0.5) into (pow (* 2.0 PI) 0.5) 1.577 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.578 * [backup-simplify]: Simplify (- 1) into -1 1.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.579 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 1.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 1.589 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 1.593 * [backup-simplify]: Simplify (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 1.594 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.596 * [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 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 1.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 1.606 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 1.611 * [backup-simplify]: Simplify (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 1.628 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow k 2)) (+ (* (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) k) (pow (* 2.0 PI) 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 1.628 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) 1.628 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.628 * [taylor]: Taking taylor expansion of 0.5 in k 1.628 * [backup-simplify]: Simplify 0.5 into 0.5 1.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.628 * [taylor]: Taking taylor expansion of 1.0 in k 1.628 * [backup-simplify]: Simplify 1.0 into 1.0 1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.629 * [taylor]: Taking taylor expansion of k in k 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.629 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.629 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.629 * [taylor]: Taking taylor expansion of 2.0 in k 1.629 * [backup-simplify]: Simplify 2.0 into 2.0 1.629 * [taylor]: Taking taylor expansion of PI in k 1.629 * [backup-simplify]: Simplify PI into PI 1.629 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.630 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.630 * [backup-simplify]: Simplify (- 1) into -1 1.630 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.631 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.632 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 1.633 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 1.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.633 * [taylor]: Taking taylor expansion of 0.5 in k 1.633 * [backup-simplify]: Simplify 0.5 into 0.5 1.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.633 * [taylor]: Taking taylor expansion of 1.0 in k 1.633 * [backup-simplify]: Simplify 1.0 into 1.0 1.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.633 * [taylor]: Taking taylor expansion of k in k 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.633 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.633 * [taylor]: Taking taylor expansion of 2.0 in k 1.633 * [backup-simplify]: Simplify 2.0 into 2.0 1.633 * [taylor]: Taking taylor expansion of PI in k 1.633 * [backup-simplify]: Simplify PI into PI 1.633 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.634 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.634 * [backup-simplify]: Simplify (- 1) into -1 1.635 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.635 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.636 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 1.637 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 1.638 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 1.639 * [backup-simplify]: Simplify (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) 1.639 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.639 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.639 * [taylor]: Taking taylor expansion of 0.5 in k 1.639 * [backup-simplify]: Simplify 0.5 into 0.5 1.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.639 * [taylor]: Taking taylor expansion of k in k 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.639 * [taylor]: Taking taylor expansion of 1.0 in k 1.639 * [backup-simplify]: Simplify 1.0 into 1.0 1.639 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.639 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.639 * [taylor]: Taking taylor expansion of 2.0 in k 1.639 * [backup-simplify]: Simplify 2.0 into 2.0 1.640 * [taylor]: Taking taylor expansion of PI in k 1.640 * [backup-simplify]: Simplify PI into PI 1.640 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.640 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.641 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.642 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.643 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 1.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.643 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.643 * [taylor]: Taking taylor expansion of 0.5 in k 1.643 * [backup-simplify]: Simplify 0.5 into 0.5 1.643 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.643 * [taylor]: Taking taylor expansion of k in k 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [taylor]: Taking taylor expansion of 1.0 in k 1.643 * [backup-simplify]: Simplify 1.0 into 1.0 1.643 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.643 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.643 * [taylor]: Taking taylor expansion of 2.0 in k 1.643 * [backup-simplify]: Simplify 2.0 into 2.0 1.643 * [taylor]: Taking taylor expansion of PI in k 1.643 * [backup-simplify]: Simplify PI into PI 1.644 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.644 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.645 * [backup-simplify]: Simplify (+ 1 0) into 1 1.645 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.646 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.647 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 1.648 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) 1.649 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.649 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 1.649 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.649 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.649 * [taylor]: Taking taylor expansion of 1.0 in k 1.649 * [backup-simplify]: Simplify 1.0 into 1.0 1.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.649 * [taylor]: Taking taylor expansion of k in k 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [backup-simplify]: Simplify (sqrt 0) into 0 1.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.651 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.651 * [taylor]: Taking taylor expansion of 1.0 in k 1.651 * [backup-simplify]: Simplify 1.0 into 1.0 1.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.651 * [taylor]: Taking taylor expansion of k in k 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.651 * [backup-simplify]: Simplify (sqrt 0) into 0 1.652 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.652 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.654 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.657 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.657 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.661 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.662 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.662 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 1.663 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 1.663 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.663 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.663 * [taylor]: Taking taylor expansion of 1.0 in k 1.663 * [backup-simplify]: Simplify 1.0 into 1.0 1.663 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.663 * [taylor]: Taking taylor expansion of k in k 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (sqrt 0) into 0 1.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.664 * [taylor]: Taking taylor expansion of 1.0 in k 1.664 * [backup-simplify]: Simplify 1.0 into 1.0 1.664 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.664 * [taylor]: Taking taylor expansion of k in k 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (sqrt 0) into 0 1.665 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.666 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 1.667 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.670 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.670 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.673 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 1.674 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.675 * [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)))))))) 1.675 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 1.675 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.675 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.675 * [taylor]: Taking taylor expansion of 1.0 in k 1.675 * [backup-simplify]: Simplify 1.0 into 1.0 1.675 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.675 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.675 * [taylor]: Taking taylor expansion of -1 in k 1.675 * [backup-simplify]: Simplify -1 into -1 1.675 * [taylor]: Taking taylor expansion of k in k 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ -1 1) into -1 1.676 * [backup-simplify]: Simplify (sqrt 0) into 0 1.676 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.677 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.677 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.677 * [taylor]: Taking taylor expansion of 1.0 in k 1.677 * [backup-simplify]: Simplify 1.0 into 1.0 1.677 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.677 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.677 * [taylor]: Taking taylor expansion of -1 in k 1.677 * [backup-simplify]: Simplify -1 into -1 1.677 * [taylor]: Taking taylor expansion of k in k 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ -1 1) into -1 1.677 * [backup-simplify]: Simplify (sqrt 0) into 0 1.678 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.678 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 1.678 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.682 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.682 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.688 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.688 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.689 * [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))))) 1.689 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.689 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) 1.689 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.690 * [taylor]: Taking taylor expansion of 1.0 in k 1.690 * [backup-simplify]: Simplify 1.0 into 1.0 1.690 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.690 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.690 * [taylor]: Taking taylor expansion of k in k 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [backup-simplify]: Simplify (sqrt 0) into 0 1.691 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.691 * [taylor]: Taking taylor expansion of 0.5 in k 1.691 * [backup-simplify]: Simplify 0.5 into 0.5 1.691 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.691 * [taylor]: Taking taylor expansion of 1.0 in k 1.691 * [backup-simplify]: Simplify 1.0 into 1.0 1.691 * [taylor]: Taking taylor expansion of k in k 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.691 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.691 * [taylor]: Taking taylor expansion of 2.0 in k 1.691 * [backup-simplify]: Simplify 2.0 into 2.0 1.691 * [taylor]: Taking taylor expansion of PI in k 1.691 * [backup-simplify]: Simplify PI into PI 1.692 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.692 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.693 * [backup-simplify]: Simplify (- 0) into 0 1.693 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.693 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.694 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.696 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [backup-simplify]: Simplify 1.0 into 1.0 1.696 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.696 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.696 * [taylor]: Taking taylor expansion of k in k 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [backup-simplify]: Simplify (sqrt 0) into 0 1.697 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.697 * [taylor]: Taking taylor expansion of 0.5 in k 1.697 * [backup-simplify]: Simplify 0.5 into 0.5 1.698 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.698 * [taylor]: Taking taylor expansion of 1.0 in k 1.698 * [backup-simplify]: Simplify 1.0 into 1.0 1.698 * [taylor]: Taking taylor expansion of k in k 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.698 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.698 * [taylor]: Taking taylor expansion of 2.0 in k 1.698 * [backup-simplify]: Simplify 2.0 into 2.0 1.698 * [taylor]: Taking taylor expansion of PI in k 1.698 * [backup-simplify]: Simplify PI into PI 1.698 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.699 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.699 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 1.700 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.702 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 PI)))) into (pow (* 2.0 PI) 0.5) 1.703 * [backup-simplify]: Simplify (* 0 (pow (* 2.0 PI) 0.5)) into 0 1.703 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 1.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 1.705 * [backup-simplify]: Simplify (- 1) into -1 1.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.706 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 1.708 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 PI)))) into (- (* 0.5 (log (* 2.0 PI)))) 1.722 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1)))) into (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 1.726 * [backup-simplify]: Simplify (+ (* 0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 1.731 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 1.735 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 1.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 1.737 * [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 1.738 * [backup-simplify]: Simplify (- 0) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 1.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 PI))))) into 0 1.748 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.763 * [backup-simplify]: Simplify (+ (* 0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 1.778 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 1.789 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) 1.790 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.793 * [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 1.794 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.795 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 PI)))))) into 0 1.814 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 PI)))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.840 * [backup-simplify]: Simplify (+ (* 0 (* -0.020833333333333332 (* (pow (log (* 2.0 PI)) 3) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (* -0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* +nan.0 (pow (* 2.0 PI) 0.5))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 1.871 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) 1.892 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) into (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 1.937 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) k) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) 1.938 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) 1.938 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.938 * [taylor]: Taking taylor expansion of 1.0 in k 1.938 * [backup-simplify]: Simplify 1.0 into 1.0 1.938 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.938 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.938 * [taylor]: Taking taylor expansion of k in k 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (sqrt 0) into 0 1.939 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.939 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.940 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.940 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.940 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.940 * [taylor]: Taking taylor expansion of 0.5 in k 1.940 * [backup-simplify]: Simplify 0.5 into 0.5 1.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.940 * [taylor]: Taking taylor expansion of 1.0 in k 1.940 * [backup-simplify]: Simplify 1.0 into 1.0 1.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.940 * [taylor]: Taking taylor expansion of k in k 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.940 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.940 * [taylor]: Taking taylor expansion of 2.0 in k 1.940 * [backup-simplify]: Simplify 2.0 into 2.0 1.940 * [taylor]: Taking taylor expansion of PI in k 1.940 * [backup-simplify]: Simplify PI into PI 1.940 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.941 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.941 * [backup-simplify]: Simplify (- 1) into -1 1.942 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.942 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.943 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 1.944 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 1.944 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.944 * [taylor]: Taking taylor expansion of 1.0 in k 1.944 * [backup-simplify]: Simplify 1.0 into 1.0 1.944 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.944 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.944 * [taylor]: Taking taylor expansion of k in k 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (sqrt 0) into 0 1.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.945 * [taylor]: Taking taylor expansion of 0.5 in k 1.945 * [backup-simplify]: Simplify 0.5 into 0.5 1.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.945 * [taylor]: Taking taylor expansion of 1.0 in k 1.945 * [backup-simplify]: Simplify 1.0 into 1.0 1.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.945 * [taylor]: Taking taylor expansion of k in k 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.945 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.945 * [taylor]: Taking taylor expansion of 2.0 in k 1.945 * [backup-simplify]: Simplify 2.0 into 2.0 1.945 * [taylor]: Taking taylor expansion of PI in k 1.945 * [backup-simplify]: Simplify PI into PI 1.946 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.946 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.947 * [backup-simplify]: Simplify (- 1) into -1 1.947 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.947 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 1.948 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 PI))) into (* -0.5 (log (* 2.0 PI))) 1.949 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) 1.950 * [backup-simplify]: Simplify (* 0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) into 0 1.950 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.952 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.953 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.955 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.958 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.958 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.965 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.965 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) 1.968 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 (/ 1 k)))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) 1.969 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 1.969 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.969 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.969 * [taylor]: Taking taylor expansion of 1.0 in k 1.969 * [backup-simplify]: Simplify 1.0 into 1.0 1.969 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.969 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.969 * [taylor]: Taking taylor expansion of 0.5 in k 1.969 * [backup-simplify]: Simplify 0.5 into 0.5 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.969 * [taylor]: Taking taylor expansion of k in k 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of 1.0 in k 1.969 * [backup-simplify]: Simplify 1.0 into 1.0 1.969 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.969 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.969 * [taylor]: Taking taylor expansion of 2.0 in k 1.969 * [backup-simplify]: Simplify 2.0 into 2.0 1.969 * [taylor]: Taking taylor expansion of PI in k 1.969 * [backup-simplify]: Simplify PI into PI 1.970 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.970 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.971 * [backup-simplify]: Simplify (+ 1 0) into 1 1.971 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.972 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.973 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 1.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.973 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.973 * [taylor]: Taking taylor expansion of -1 in k 1.973 * [backup-simplify]: Simplify -1 into -1 1.973 * [taylor]: Taking taylor expansion of k in k 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ -1 1) into -1 1.973 * [backup-simplify]: Simplify (sqrt 0) into 0 1.974 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.975 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 1.975 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.975 * [taylor]: Taking taylor expansion of 1.0 in k 1.975 * [backup-simplify]: Simplify 1.0 into 1.0 1.975 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.975 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.975 * [taylor]: Taking taylor expansion of 0.5 in k 1.975 * [backup-simplify]: Simplify 0.5 into 0.5 1.975 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.975 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.975 * [taylor]: Taking taylor expansion of k in k 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of 1.0 in k 1.976 * [backup-simplify]: Simplify 1.0 into 1.0 1.976 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.976 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.976 * [taylor]: Taking taylor expansion of 2.0 in k 1.976 * [backup-simplify]: Simplify 2.0 into 2.0 1.976 * [taylor]: Taking taylor expansion of PI in k 1.976 * [backup-simplify]: Simplify PI into PI 1.976 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 1.977 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 1.977 * [backup-simplify]: Simplify (+ 1 0) into 1 1.977 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.978 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 PI))) into (* 0.5 (log (* 2.0 PI))) 1.979 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) into (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) 1.979 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.979 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.979 * [taylor]: Taking taylor expansion of -1 in k 1.979 * [backup-simplify]: Simplify -1 into -1 1.979 * [taylor]: Taking taylor expansion of k in k 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (/ -1 1) into -1 1.980 * [backup-simplify]: Simplify (sqrt 0) into 0 1.981 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.981 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 1.982 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 1.983 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) 1.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.987 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 1.988 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 1.989 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 1.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.001 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 2.003 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 2.004 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) 2.006 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (/ 1 (- k))) (* +nan.0 (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) 2.007 * * * [progress]: simplifying candidates 2.009 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (- (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))) 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h0))))) (cbrt (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (* (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0)))) (sqrt (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0)))) (* h2 (pow (* h0 h4) (/ h2 h0))) (* (sqrt h1) (pow (* h0 h4) (/ h1 h0))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (sqrt (/ h2 (sqrt h1))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (/ h2 (sqrt h1)) (pow h0 (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (* (cbrt (pow (* h0 h4) (/ (- h2 h1) h0))) (cbrt (pow (* h0 h4) (/ (- h2 h1) h0))))) (* (/ h2 (sqrt h1)) (sqrt (pow (* h0 h4) (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) 1) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (/ (- h2 h1) h0) 2))) (* (cbrt (/ h2 (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (sqrt (/ h2 (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (cbrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (cbrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (cbrt h2) (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (cbrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (cbrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ (sqrt h2) (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (cbrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (cbrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt (sqrt h1))) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ 1 (sqrt h1)) (pow (* h0 h4) (/ (- h2 h1) h0))) (* (/ h2 (sqrt h1)) (pow (* h0 h4) (/ h2 h0))) (* h2 (pow (* h0 h4) (/ (- h2 h1) h0))) (- (+ (* h6 (* (* (pow h1 2) (pow (log h3) 2)) (pow (pow h3 h2) h5))) (pow h3 h5)) (* h5 (* (* h1 (log h3)) (pow (pow h3 h2) h5)))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))) (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (- (+ (* h6 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (pow (* h0 h4) h5)) (* h5 (* (* h1 (log (* h0 h4))) (pow (* (pow h0 h2) (pow h4 h2)) h5)))) (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (- (+ (* h8 h1) (- (+ (* h8 (pow h1 2)) (- h8))))) (- (+ (* h8 (/ 1 (pow h1 2))) (- (+ (* h8 (/ 1 h1)) (- (* h8 (/ 1 (pow h1 3)))))))) (- (+ (* h8 (/ 1 (pow h1 2))) (- (+ (* h8 (/ 1 h1)) (- h8))))) (- (+ (* h8 (* (pow h1 2) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (* (pow h1 2) (log (* h0 h4))) (pow (* (pow h4 h2) (pow h0 h2)) h5))) (- (+ (* h8 (* h1 (pow (* (pow h4 h2) (pow h0 h2)) h5))) (- (+ (* h8 (* (* h1 (log (* h0 h4))) (pow (* (pow h4 h2) (pow h0 h2)) h5))) (- (+ (* h8 (* (* (pow h1 2) (pow (log (* h0 h4)) 2)) (pow (* (pow h4 h2) (pow h0 h2)) h5))) (- (* h8 (pow (* (pow h4 h2) (pow h0 h2)) h5))))))))))))) (- (+ (* h8 (/ (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (pow h1 2))) (- (+ (* h8 (/ (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) h1)) (- (* h8 (/ (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (pow h1 3)))))))) (- (+ (* h8 (/ (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) (pow h1 2))) (- (+ (* h8 (/ (exp (* h5 (* (- h2 h1) (log (* h0 h4))))) h1)) (- (* h8 (exp (* h5 (* (- h2 h1) (log (* h0 h4))))))))))) 2.081 * * * [progress]: adding candidates to table 2.628 * * [progress]: iteration 3 / 4 2.628 * * * [progress]: picking best candidate 2.655 * * * * [pick]: Picked # 2.655 * * * [progress]: localizing error 2.675 * * * [progress]: generating rewritten candidates 2.675 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.683 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.691 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.698 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.768 * * * [progress]: generating series expansions 2.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.768 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 2.768 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.768 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.768 * [taylor]: Taking taylor expansion of 0.5 in k 2.769 * [backup-simplify]: Simplify 0.5 into 0.5 2.769 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.769 * [taylor]: Taking taylor expansion of 1.0 in k 2.769 * [backup-simplify]: Simplify 1.0 into 1.0 2.769 * [taylor]: Taking taylor expansion of k in k 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of (log n) in k 2.769 * [taylor]: Taking taylor expansion of n in k 2.769 * [backup-simplify]: Simplify n into n 2.769 * [backup-simplify]: Simplify (log n) into (log n) 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.770 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.770 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 2.770 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 2.770 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.770 * [taylor]: Taking taylor expansion of 0.5 in n 2.770 * [backup-simplify]: Simplify 0.5 into 0.5 2.770 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [backup-simplify]: Simplify 1.0 into 1.0 2.770 * [taylor]: Taking taylor expansion of k in n 2.770 * [backup-simplify]: Simplify k into k 2.770 * [taylor]: Taking taylor expansion of (log n) in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.770 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (log 1) into 0 2.770 * [backup-simplify]: Simplify (- k) into (- k) 2.770 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.771 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.771 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 2.771 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 2.771 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.771 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.771 * [taylor]: Taking taylor expansion of 0.5 in n 2.771 * [backup-simplify]: Simplify 0.5 into 0.5 2.771 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.771 * [taylor]: Taking taylor expansion of 1.0 in n 2.771 * [backup-simplify]: Simplify 1.0 into 1.0 2.771 * [taylor]: Taking taylor expansion of k in n 2.771 * [backup-simplify]: Simplify k into k 2.771 * [taylor]: Taking taylor expansion of (log n) in n 2.771 * [taylor]: Taking taylor expansion of n in n 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (log 1) into 0 2.772 * [backup-simplify]: Simplify (- k) into (- k) 2.772 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.772 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.772 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.772 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 2.772 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 2.772 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.772 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.772 * [taylor]: Taking taylor expansion of 0.5 in k 2.772 * [backup-simplify]: Simplify 0.5 into 0.5 2.772 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.772 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.772 * [taylor]: Taking taylor expansion of 1.0 in k 2.772 * [backup-simplify]: Simplify 1.0 into 1.0 2.772 * [taylor]: Taking taylor expansion of k in k 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [taylor]: Taking taylor expansion of (log n) in k 2.772 * [taylor]: Taking taylor expansion of n in k 2.772 * [backup-simplify]: Simplify n into n 2.772 * [backup-simplify]: Simplify (log n) into (log n) 2.773 * [backup-simplify]: Simplify (- 0) into 0 2.773 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.773 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.773 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 2.773 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 2.773 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 2.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.775 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 2.776 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.776 * [taylor]: Taking taylor expansion of 0 in k 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.777 * [backup-simplify]: Simplify (- 1) into -1 2.777 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.777 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 2.777 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 2.778 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 2.778 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 2.780 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.780 * [backup-simplify]: Simplify (- 0) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.781 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.781 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 2.782 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.782 * [taylor]: Taking taylor expansion of 0 in k 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 2.790 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 2.791 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 2.791 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 2.791 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 2.791 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.791 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.792 * [taylor]: Taking taylor expansion of 0.5 in k 2.792 * [backup-simplify]: Simplify 0.5 into 0.5 2.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.792 * [taylor]: Taking taylor expansion of 1.0 in k 2.792 * [backup-simplify]: Simplify 1.0 into 1.0 2.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.792 * [taylor]: Taking taylor expansion of k in k 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ 1 1) into 1 2.792 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.792 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.792 * [taylor]: Taking taylor expansion of n in k 2.792 * [backup-simplify]: Simplify n into n 2.792 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 2.792 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 2.792 * [backup-simplify]: Simplify (- 1) into -1 2.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.793 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.793 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 2.793 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 2.793 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.793 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.793 * [taylor]: Taking taylor expansion of 0.5 in n 2.793 * [backup-simplify]: Simplify 0.5 into 0.5 2.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.793 * [taylor]: Taking taylor expansion of 1.0 in n 2.793 * [backup-simplify]: Simplify 1.0 into 1.0 2.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.793 * [taylor]: Taking taylor expansion of k in n 2.793 * [backup-simplify]: Simplify k into k 2.793 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.793 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.793 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.793 * [taylor]: Taking taylor expansion of n in n 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (/ 1 1) into 1 2.794 * [backup-simplify]: Simplify (log 1) into 0 2.794 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.794 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.794 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.795 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 2.795 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 2.795 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.795 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.795 * [taylor]: Taking taylor expansion of 0.5 in n 2.795 * [backup-simplify]: Simplify 0.5 into 0.5 2.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.795 * [taylor]: Taking taylor expansion of 1.0 in n 2.795 * [backup-simplify]: Simplify 1.0 into 1.0 2.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.795 * [taylor]: Taking taylor expansion of k in n 2.795 * [backup-simplify]: Simplify k into k 2.795 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.795 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.795 * [taylor]: Taking taylor expansion of n in n 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (/ 1 1) into 1 2.795 * [backup-simplify]: Simplify (log 1) into 0 2.796 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.796 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.796 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.796 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 2.796 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 2.796 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.796 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.796 * [taylor]: Taking taylor expansion of -0.5 in k 2.796 * [backup-simplify]: Simplify -0.5 into -0.5 2.796 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.796 * [taylor]: Taking taylor expansion of (log n) in k 2.796 * [taylor]: Taking taylor expansion of n in k 2.796 * [backup-simplify]: Simplify n into n 2.796 * [backup-simplify]: Simplify (log n) into (log n) 2.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [backup-simplify]: Simplify 1.0 into 1.0 2.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.796 * [taylor]: Taking taylor expansion of k in k 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [backup-simplify]: Simplify (- 1) into -1 2.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.797 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 2.797 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 2.797 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 2.798 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.799 * [backup-simplify]: Simplify (- 0) into 0 2.799 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.800 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.800 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 2.801 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.801 * [taylor]: Taking taylor expansion of 0 in k 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.803 * [backup-simplify]: Simplify (- 0) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.805 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 2.806 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.806 * [taylor]: Taking taylor expansion of 0 in k 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [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 2.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 2.812 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 2.813 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.813 * [taylor]: Taking taylor expansion of 0 in k 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 2.813 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 2.813 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.813 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.813 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.813 * [taylor]: Taking taylor expansion of 0.5 in k 2.813 * [backup-simplify]: Simplify 0.5 into 0.5 2.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.813 * [taylor]: Taking taylor expansion of k in k 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.814 * [taylor]: Taking taylor expansion of 1.0 in k 2.814 * [backup-simplify]: Simplify 1.0 into 1.0 2.814 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.814 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.814 * [taylor]: Taking taylor expansion of -1 in k 2.814 * [backup-simplify]: Simplify -1 into -1 2.814 * [taylor]: Taking taylor expansion of n in k 2.814 * [backup-simplify]: Simplify n into n 2.814 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 2.814 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 2.814 * [backup-simplify]: Simplify (+ 1 0) into 1 2.814 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.814 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 2.815 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 2.815 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.815 * [taylor]: Taking taylor expansion of 0.5 in n 2.815 * [backup-simplify]: Simplify 0.5 into 0.5 2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.815 * [taylor]: Taking taylor expansion of k in n 2.815 * [backup-simplify]: Simplify k into k 2.815 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.815 * [taylor]: Taking taylor expansion of 1.0 in n 2.815 * [backup-simplify]: Simplify 1.0 into 1.0 2.815 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.815 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.815 * [taylor]: Taking taylor expansion of -1 in n 2.815 * [backup-simplify]: Simplify -1 into -1 2.815 * [taylor]: Taking taylor expansion of n in n 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (/ -1 1) into -1 2.816 * [backup-simplify]: Simplify (log -1) into (log -1) 2.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.816 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.817 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 2.817 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2.817 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.817 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.817 * [taylor]: Taking taylor expansion of 0.5 in n 2.817 * [backup-simplify]: Simplify 0.5 into 0.5 2.817 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.817 * [taylor]: Taking taylor expansion of k in n 2.817 * [backup-simplify]: Simplify k into k 2.817 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.817 * [taylor]: Taking taylor expansion of 1.0 in n 2.817 * [backup-simplify]: Simplify 1.0 into 1.0 2.817 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.817 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.817 * [taylor]: Taking taylor expansion of -1 in n 2.817 * [backup-simplify]: Simplify -1 into -1 2.817 * [taylor]: Taking taylor expansion of n in n 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (/ -1 1) into -1 2.818 * [backup-simplify]: Simplify (log -1) into (log -1) 2.818 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.818 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.819 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 2.820 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.820 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.820 * [taylor]: Taking taylor expansion of 0.5 in k 2.820 * [backup-simplify]: Simplify 0.5 into 0.5 2.820 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.820 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.820 * [taylor]: Taking taylor expansion of (log -1) in k 2.820 * [taylor]: Taking taylor expansion of -1 in k 2.820 * [backup-simplify]: Simplify -1 into -1 2.820 * [backup-simplify]: Simplify (log -1) into (log -1) 2.820 * [taylor]: Taking taylor expansion of (log n) in k 2.820 * [taylor]: Taking taylor expansion of n in k 2.820 * [backup-simplify]: Simplify n into n 2.820 * [backup-simplify]: Simplify (log n) into (log n) 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.820 * [taylor]: Taking taylor expansion of k in k 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [taylor]: Taking taylor expansion of 1.0 in k 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.821 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 2.821 * [backup-simplify]: Simplify (+ 1 0) into 1 2.821 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 2.822 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 2.822 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2.823 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 2.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.824 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.826 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 2.827 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.827 * [taylor]: Taking taylor expansion of 0 in k 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.831 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 2.832 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.832 * [taylor]: Taking taylor expansion of 0 in k 2.832 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.837 * [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 2.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.839 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 2.840 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 2.841 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.841 * [taylor]: Taking taylor expansion of 0 in k 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.842 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 2.842 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.842 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.842 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.842 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.842 * [taylor]: Taking taylor expansion of 0.5 in k 2.842 * [backup-simplify]: Simplify 0.5 into 0.5 2.842 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.842 * [taylor]: Taking taylor expansion of 1.0 in k 2.842 * [backup-simplify]: Simplify 1.0 into 1.0 2.842 * [taylor]: Taking taylor expansion of k in k 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [taylor]: Taking taylor expansion of (log PI) in k 2.842 * [taylor]: Taking taylor expansion of PI in k 2.842 * [backup-simplify]: Simplify PI into PI 2.843 * [backup-simplify]: Simplify (log PI) into (log PI) 2.843 * [backup-simplify]: Simplify (- 0) into 0 2.843 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.843 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.844 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 2.845 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 2.845 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.845 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.845 * [taylor]: Taking taylor expansion of 0.5 in k 2.845 * [backup-simplify]: Simplify 0.5 into 0.5 2.845 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.845 * [taylor]: Taking taylor expansion of 1.0 in k 2.845 * [backup-simplify]: Simplify 1.0 into 1.0 2.845 * [taylor]: Taking taylor expansion of k in k 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [taylor]: Taking taylor expansion of (log PI) in k 2.845 * [taylor]: Taking taylor expansion of PI in k 2.845 * [backup-simplify]: Simplify PI into PI 2.846 * [backup-simplify]: Simplify (log PI) into (log PI) 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.846 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.847 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 2.848 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 2.848 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 2.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.850 * [backup-simplify]: Simplify (- 1) into -1 2.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.851 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.853 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 2.858 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 2.860 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 2.862 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.863 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 2.871 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 2.874 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 2.879 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 2.879 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 2.879 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.879 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.880 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.880 * [taylor]: Taking taylor expansion of 0.5 in k 2.880 * [backup-simplify]: Simplify 0.5 into 0.5 2.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.880 * [taylor]: Taking taylor expansion of 1.0 in k 2.880 * [backup-simplify]: Simplify 1.0 into 1.0 2.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.880 * [taylor]: Taking taylor expansion of k in k 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [taylor]: Taking taylor expansion of (log PI) in k 2.880 * [taylor]: Taking taylor expansion of PI in k 2.880 * [backup-simplify]: Simplify PI into PI 2.880 * [backup-simplify]: Simplify (log PI) into (log PI) 2.881 * [backup-simplify]: Simplify (- 1) into -1 2.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.881 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.882 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 2.882 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 2.882 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.882 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.882 * [taylor]: Taking taylor expansion of 0.5 in k 2.882 * [backup-simplify]: Simplify 0.5 into 0.5 2.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.882 * [taylor]: Taking taylor expansion of 1.0 in k 2.882 * [backup-simplify]: Simplify 1.0 into 1.0 2.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.882 * [taylor]: Taking taylor expansion of k in k 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.883 * [backup-simplify]: Simplify (/ 1 1) into 1 2.883 * [taylor]: Taking taylor expansion of (log PI) in k 2.883 * [taylor]: Taking taylor expansion of PI in k 2.883 * [backup-simplify]: Simplify PI into PI 2.883 * [backup-simplify]: Simplify (log PI) into (log PI) 2.889 * [backup-simplify]: Simplify (- 1) into -1 2.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.890 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.890 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 2.891 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 2.891 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 2.892 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 2.892 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.892 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.892 * [taylor]: Taking taylor expansion of 0.5 in k 2.892 * [backup-simplify]: Simplify 0.5 into 0.5 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.892 * [taylor]: Taking taylor expansion of k in k 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of 1.0 in k 2.892 * [backup-simplify]: Simplify 1.0 into 1.0 2.892 * [taylor]: Taking taylor expansion of (log PI) in k 2.892 * [taylor]: Taking taylor expansion of PI in k 2.892 * [backup-simplify]: Simplify PI into PI 2.893 * [backup-simplify]: Simplify (log PI) into (log PI) 2.893 * [backup-simplify]: Simplify (+ 1 0) into 1 2.893 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.894 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 2.894 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 2.894 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.894 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.894 * [taylor]: Taking taylor expansion of 0.5 in k 2.894 * [backup-simplify]: Simplify 0.5 into 0.5 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.894 * [taylor]: Taking taylor expansion of k in k 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of 1.0 in k 2.895 * [backup-simplify]: Simplify 1.0 into 1.0 2.895 * [taylor]: Taking taylor expansion of (log PI) in k 2.895 * [taylor]: Taking taylor expansion of PI in k 2.895 * [backup-simplify]: Simplify PI into PI 2.895 * [backup-simplify]: Simplify (log PI) into (log PI) 2.895 * [backup-simplify]: Simplify (+ 1 0) into 1 2.895 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.896 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 2.896 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 2.897 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 2.897 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.898 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.898 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.898 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.898 * [taylor]: Taking taylor expansion of 1.0 in k 2.898 * [backup-simplify]: Simplify 1.0 into 1.0 2.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.898 * [taylor]: Taking taylor expansion of k in k 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [backup-simplify]: Simplify (sqrt 0) into 0 2.899 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.899 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.899 * [taylor]: Taking taylor expansion of 1.0 in k 2.899 * [backup-simplify]: Simplify 1.0 into 1.0 2.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.899 * [taylor]: Taking taylor expansion of k in k 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [backup-simplify]: Simplify (sqrt 0) into 0 2.901 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.901 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.902 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.905 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.906 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.910 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.911 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.912 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) 2.912 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.912 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.912 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.912 * [taylor]: Taking taylor expansion of 1.0 in k 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.912 * [taylor]: Taking taylor expansion of k in k 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (sqrt 0) into 0 2.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.913 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.913 * [taylor]: Taking taylor expansion of 1.0 in k 2.913 * [backup-simplify]: Simplify 1.0 into 1.0 2.913 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.913 * [taylor]: Taking taylor expansion of k in k 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (sqrt 0) into 0 2.914 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.914 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.914 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.916 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.918 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.919 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.919 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.923 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.923 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.924 * [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)))))))) 2.924 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.924 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.924 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.924 * [taylor]: Taking taylor expansion of 1.0 in k 2.924 * [backup-simplify]: Simplify 1.0 into 1.0 2.924 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.924 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.924 * [taylor]: Taking taylor expansion of -1 in k 2.924 * [backup-simplify]: Simplify -1 into -1 2.924 * [taylor]: Taking taylor expansion of k in k 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (/ -1 1) into -1 2.925 * [backup-simplify]: Simplify (sqrt 0) into 0 2.926 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.926 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.926 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.926 * [taylor]: Taking taylor expansion of 1.0 in k 2.926 * [backup-simplify]: Simplify 1.0 into 1.0 2.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.926 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.926 * [taylor]: Taking taylor expansion of -1 in k 2.926 * [backup-simplify]: Simplify -1 into -1 2.926 * [taylor]: Taking taylor expansion of k in k 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (/ -1 1) into -1 2.927 * [backup-simplify]: Simplify (sqrt 0) into 0 2.928 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.928 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.932 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.932 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.940 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.940 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.941 * [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))))) 2.941 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.941 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 2.941 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 2.941 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.941 * [taylor]: Taking taylor expansion of 1.0 in k 2.941 * [backup-simplify]: Simplify 1.0 into 1.0 2.941 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.941 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.941 * [taylor]: Taking taylor expansion of k in k 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [backup-simplify]: Simplify (sqrt 0) into 0 2.943 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.943 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.943 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.943 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.943 * [taylor]: Taking taylor expansion of 0.5 in k 2.943 * [backup-simplify]: Simplify 0.5 into 0.5 2.943 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.943 * [taylor]: Taking taylor expansion of 1.0 in k 2.943 * [backup-simplify]: Simplify 1.0 into 1.0 2.943 * [taylor]: Taking taylor expansion of k in k 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [taylor]: Taking taylor expansion of (log PI) in k 2.943 * [taylor]: Taking taylor expansion of PI in k 2.943 * [backup-simplify]: Simplify PI into PI 2.943 * [backup-simplify]: Simplify (log PI) into (log PI) 2.944 * [backup-simplify]: Simplify (- 0) into 0 2.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.944 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.945 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 2.946 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 2.946 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.946 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.946 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.946 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.946 * [taylor]: Taking taylor expansion of 0.5 in k 2.946 * [backup-simplify]: Simplify 0.5 into 0.5 2.946 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.946 * [taylor]: Taking taylor expansion of 1.0 in k 2.946 * [backup-simplify]: Simplify 1.0 into 1.0 2.946 * [taylor]: Taking taylor expansion of k in k 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.946 * [taylor]: Taking taylor expansion of 2.0 in k 2.946 * [backup-simplify]: Simplify 2.0 into 2.0 2.946 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.947 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.948 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 2.949 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 2.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.949 * [taylor]: Taking taylor expansion of 1.0 in k 2.949 * [backup-simplify]: Simplify 1.0 into 1.0 2.949 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.949 * [taylor]: Taking taylor expansion of k in k 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [backup-simplify]: Simplify (sqrt 0) into 0 2.950 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.950 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.950 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.950 * [taylor]: Taking taylor expansion of 0.5 in k 2.950 * [backup-simplify]: Simplify 0.5 into 0.5 2.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.950 * [taylor]: Taking taylor expansion of 1.0 in k 2.950 * [backup-simplify]: Simplify 1.0 into 1.0 2.950 * [taylor]: Taking taylor expansion of k in k 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [taylor]: Taking taylor expansion of (log PI) in k 2.950 * [taylor]: Taking taylor expansion of PI in k 2.950 * [backup-simplify]: Simplify PI into PI 2.951 * [backup-simplify]: Simplify (log PI) into (log PI) 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.952 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.952 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 2.953 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 2.953 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.953 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.953 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.953 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.953 * [taylor]: Taking taylor expansion of 0.5 in k 2.953 * [backup-simplify]: Simplify 0.5 into 0.5 2.953 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.953 * [taylor]: Taking taylor expansion of 1.0 in k 2.953 * [backup-simplify]: Simplify 1.0 into 1.0 2.953 * [taylor]: Taking taylor expansion of k in k 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.953 * [taylor]: Taking taylor expansion of 2.0 in k 2.953 * [backup-simplify]: Simplify 2.0 into 2.0 2.954 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.954 * [backup-simplify]: Simplify (- 0) into 0 2.954 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.955 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.955 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 2.956 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 2.957 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 2.958 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 2.958 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.960 * [backup-simplify]: Simplify (- 1) into -1 2.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.961 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 2.968 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 2.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.969 * [backup-simplify]: Simplify (- 1) into -1 2.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.971 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 2.979 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 2.995 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 3.001 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 3.006 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 3.009 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 3.011 * [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 3.011 * [backup-simplify]: Simplify (- 0) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.013 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 3.020 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 3.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 3.030 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 3.050 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.083 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 3.109 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 3.130 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 3.133 * [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 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 3.145 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 3.148 * [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 3.148 * [backup-simplify]: Simplify (- 0) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 3.159 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 3.199 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.259 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 3.347 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 3.690 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 3.779 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 3.779 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 3.779 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 3.779 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.779 * [taylor]: Taking taylor expansion of 1.0 in k 3.779 * [backup-simplify]: Simplify 1.0 into 1.0 3.779 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.779 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.779 * [taylor]: Taking taylor expansion of k in k 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (sqrt 0) into 0 3.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.781 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.781 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.781 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.781 * [taylor]: Taking taylor expansion of 0.5 in k 3.781 * [backup-simplify]: Simplify 0.5 into 0.5 3.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.782 * [taylor]: Taking taylor expansion of 1.0 in k 3.782 * [backup-simplify]: Simplify 1.0 into 1.0 3.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.782 * [taylor]: Taking taylor expansion of k in k 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.782 * [taylor]: Taking taylor expansion of 2.0 in k 3.782 * [backup-simplify]: Simplify 2.0 into 2.0 3.782 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.783 * [backup-simplify]: Simplify (- 1) into -1 3.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.783 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.784 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 3.785 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 3.785 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.785 * [taylor]: Taking taylor expansion of 0.5 in k 3.785 * [backup-simplify]: Simplify 0.5 into 0.5 3.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.785 * [taylor]: Taking taylor expansion of 1.0 in k 3.785 * [backup-simplify]: Simplify 1.0 into 1.0 3.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.785 * [taylor]: Taking taylor expansion of k in k 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (/ 1 1) into 1 3.785 * [taylor]: Taking taylor expansion of (log PI) in k 3.785 * [taylor]: Taking taylor expansion of PI in k 3.785 * [backup-simplify]: Simplify PI into PI 3.785 * [backup-simplify]: Simplify (log PI) into (log PI) 3.786 * [backup-simplify]: Simplify (- 1) into -1 3.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.786 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.787 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 3.787 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 3.788 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.788 * [taylor]: Taking taylor expansion of 1.0 in k 3.788 * [backup-simplify]: Simplify 1.0 into 1.0 3.788 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.788 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.788 * [taylor]: Taking taylor expansion of k in k 3.788 * [backup-simplify]: Simplify 0 into 0 3.788 * [backup-simplify]: Simplify 1 into 1 3.788 * [backup-simplify]: Simplify (sqrt 0) into 0 3.789 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.789 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.789 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.789 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.789 * [taylor]: Taking taylor expansion of 0.5 in k 3.789 * [backup-simplify]: Simplify 0.5 into 0.5 3.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.789 * [taylor]: Taking taylor expansion of 1.0 in k 3.789 * [backup-simplify]: Simplify 1.0 into 1.0 3.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.789 * [taylor]: Taking taylor expansion of k in k 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.790 * [taylor]: Taking taylor expansion of 2.0 in k 3.790 * [backup-simplify]: Simplify 2.0 into 2.0 3.790 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.790 * [backup-simplify]: Simplify (- 1) into -1 3.791 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.791 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.791 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 3.792 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 3.792 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.792 * [taylor]: Taking taylor expansion of 0.5 in k 3.792 * [backup-simplify]: Simplify 0.5 into 0.5 3.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.792 * [taylor]: Taking taylor expansion of 1.0 in k 3.792 * [backup-simplify]: Simplify 1.0 into 1.0 3.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.792 * [taylor]: Taking taylor expansion of k in k 3.792 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 1 into 1 3.792 * [backup-simplify]: Simplify (/ 1 1) into 1 3.792 * [taylor]: Taking taylor expansion of (log PI) in k 3.792 * [taylor]: Taking taylor expansion of PI in k 3.792 * [backup-simplify]: Simplify PI into PI 3.793 * [backup-simplify]: Simplify (log PI) into (log PI) 3.793 * [backup-simplify]: Simplify (- 1) into -1 3.793 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.793 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.794 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 3.795 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 3.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 3.797 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 3.797 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.797 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.801 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.801 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.802 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 3.804 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.807 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.808 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.809 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 3.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.816 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.817 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 3.820 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 3.820 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 3.820 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 3.820 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.820 * [taylor]: Taking taylor expansion of 1.0 in k 3.820 * [backup-simplify]: Simplify 1.0 into 1.0 3.820 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.820 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.820 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.820 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.820 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.820 * [taylor]: Taking taylor expansion of 0.5 in k 3.820 * [backup-simplify]: Simplify 0.5 into 0.5 3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [backup-simplify]: Simplify 1.0 into 1.0 3.821 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.821 * [taylor]: Taking taylor expansion of 2.0 in k 3.821 * [backup-simplify]: Simplify 2.0 into 2.0 3.821 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.821 * [backup-simplify]: Simplify (+ 1 0) into 1 3.822 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.822 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 3.823 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 3.823 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.823 * [taylor]: Taking taylor expansion of 0.5 in k 3.823 * [backup-simplify]: Simplify 0.5 into 0.5 3.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.823 * [taylor]: Taking taylor expansion of k in k 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (/ 1 1) into 1 3.823 * [taylor]: Taking taylor expansion of 1.0 in k 3.823 * [backup-simplify]: Simplify 1.0 into 1.0 3.823 * [taylor]: Taking taylor expansion of (log PI) in k 3.823 * [taylor]: Taking taylor expansion of PI in k 3.823 * [backup-simplify]: Simplify PI into PI 3.824 * [backup-simplify]: Simplify (log PI) into (log PI) 3.824 * [backup-simplify]: Simplify (+ 1 0) into 1 3.824 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.825 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 3.825 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 3.825 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.825 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.825 * [taylor]: Taking taylor expansion of -1 in k 3.825 * [backup-simplify]: Simplify -1 into -1 3.825 * [taylor]: Taking taylor expansion of k in k 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 1 into 1 3.825 * [backup-simplify]: Simplify (/ -1 1) into -1 3.826 * [backup-simplify]: Simplify (sqrt 0) into 0 3.826 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.827 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 3.828 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 3.828 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.828 * [taylor]: Taking taylor expansion of 1.0 in k 3.828 * [backup-simplify]: Simplify 1.0 into 1.0 3.828 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.828 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.828 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.828 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.828 * [taylor]: Taking taylor expansion of 0.5 in k 3.828 * [backup-simplify]: Simplify 0.5 into 0.5 3.828 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.828 * [taylor]: Taking taylor expansion of k in k 3.828 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (/ 1 1) into 1 3.828 * [taylor]: Taking taylor expansion of 1.0 in k 3.829 * [backup-simplify]: Simplify 1.0 into 1.0 3.829 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.829 * [taylor]: Taking taylor expansion of 2.0 in k 3.829 * [backup-simplify]: Simplify 2.0 into 2.0 3.832 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.833 * [backup-simplify]: Simplify (+ 1 0) into 1 3.833 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.834 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 3.834 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 3.834 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.834 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.834 * [taylor]: Taking taylor expansion of 0.5 in k 3.834 * [backup-simplify]: Simplify 0.5 into 0.5 3.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.834 * [taylor]: Taking taylor expansion of k in k 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.835 * [taylor]: Taking taylor expansion of 1.0 in k 3.835 * [backup-simplify]: Simplify 1.0 into 1.0 3.835 * [taylor]: Taking taylor expansion of (log PI) in k 3.835 * [taylor]: Taking taylor expansion of PI in k 3.835 * [backup-simplify]: Simplify PI into PI 3.835 * [backup-simplify]: Simplify (log PI) into (log PI) 3.835 * [backup-simplify]: Simplify (+ 1 0) into 1 3.836 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.836 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 3.837 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 3.837 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.837 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.837 * [taylor]: Taking taylor expansion of -1 in k 3.837 * [backup-simplify]: Simplify -1 into -1 3.837 * [taylor]: Taking taylor expansion of k in k 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify (/ -1 1) into -1 3.837 * [backup-simplify]: Simplify (sqrt 0) into 0 3.838 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.839 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 3.840 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 3.841 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 3.841 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 3.842 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.846 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 3.847 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 3.848 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 3.849 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 3.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.854 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 3.856 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 3.857 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 3.860 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 3.860 * * * [progress]: simplifying candidates 3.863 * [simplify]: Simplifying: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (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) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 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(/ (- h2 h1) h0))))) (* (* (* (/ h2 (sqrt h1)) (/ h2 (sqrt h1))) (/ h2 (sqrt h1))) (* (* (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (* (cbrt (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (cbrt (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))))) (cbrt (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (* (* (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (sqrt (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (sqrt (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0))))) (* h2 (* (pow h0 (/ h2 h0)) (pow h4 (/ h2 h0)))) (* (sqrt h1) (* (pow h0 (/ h1 h0)) (pow h4 (/ h1 h0)))) (* h2 (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ h2 h0)))) (* (sqrt h1) (pow h4 (/ h1 h0))) (* h2 (* (pow h0 (/ h2 h0)) (pow h4 (/ (- h2 h1) h0)))) (* (sqrt h1) (pow h0 (/ h1 h0))) (* (/ h2 (sqrt h1)) (pow h0 (/ (- h2 h1) h0))) (* (cbrt (/ h2 (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (sqrt (/ h2 (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (cbrt h2) (cbrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (cbrt h2) (sqrt (cbrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (cbrt h2) (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (cbrt h2) (sqrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (cbrt h2) (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (cbrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (cbrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ (sqrt h2) (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (cbrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt (cbrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt (sqrt h1))) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ 1 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ h2 h0)) (pow h4 (/ h2 h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ h2 h0)))) (* (/ h2 (sqrt h1)) (* (pow h0 (/ h2 h0)) (pow h4 (/ (- h2 h1) h0)))) (* h2 (* (pow h0 (/ (- h2 h1) h0)) (pow h4 (/ (- h2 h1) h0)))) (- (+ (* h6 (* (* (pow h1 2) (pow (log h3) 2)) (pow (pow h3 h2) h5))) (pow h3 h5)) (* h5 (* (* h1 (log h3)) (pow (pow h3 h2) h5)))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))) (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (- (+ (* h6 (* (* (pow h1 2) (pow (log h4) 2)) (pow (pow h4 h2) h5))) (pow h4 h5)) (* h5 (* (* h1 (log h4)) (pow (pow h4 h2) h5)))) (exp (* h5 (* (- h2 h1) (log h4)))) (exp (* h5 (* (- h2 h1) (log h4)))) (- (+ (* h8 h1) (- (+ (* h8 (pow h1 2)) (- h8))))) (- (+ (* h8 (/ 1 (pow h1 2))) (- (+ (* h8 (/ 1 h1)) (- (* h8 (/ 1 (pow h1 3)))))))) (- (+ (* h8 (/ 1 (pow h1 2))) (- (+ (* h8 (/ 1 h1)) (- h8))))) (- (+ (* h8 (* (* (pow h1 2) (* (log h0) (log h4))) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (* (pow h1 2) (pow (log h4) 2)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (* (pow h1 2) (log h4)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (* (pow h1 2) (pow (log h0) 2)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (pow h1 2) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (* h1 (log h4)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (* (* (pow h1 2) (log h0)) (pow (* (pow h0 h2) (pow h4 h2)) h5))) (- (+ (* h8 (pow (* (pow h0 h2) (pow h4 h2)) h5)) (- (+ (* h8 (* h1 (pow (* (pow h4 h2) (pow h0 h2)) h5))) (- (* h8 (* (* h1 (log h0)) (pow (* (pow h0 h2) (pow h4 h2)) h5)))))))))))))))))))))) (- (+ (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4))))) (pow h1 2))) (- (+ (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4))))) h1)) (- (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4))))) (pow h1 3)))))))) (- (+ (* h8 (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4)))))) (- (+ (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4))))) h1)) (- (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4))))) (pow h1 2)))))))) 3.962 * * * [progress]: adding candidates to table 4.547 * * [progress]: iteration 4 / 4 4.547 * * * [progress]: picking best candidate 4.569 * * * * [pick]: Picked # 4.569 * * * [progress]: localizing error 4.597 * * * [progress]: generating rewritten candidates 4.597 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.605 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 4.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 4.654 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.730 * * * [progress]: generating series expansions 4.730 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.730 * [backup-simplify]: Simplify (pow n (/ (- 1.0 k) 2.0)) into (pow n (* 0.5 (- 1.0 k))) 4.730 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.730 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.731 * [taylor]: Taking taylor expansion of 0.5 in k 4.731 * [backup-simplify]: Simplify 0.5 into 0.5 4.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.731 * [taylor]: Taking taylor expansion of 1.0 in k 4.731 * [backup-simplify]: Simplify 1.0 into 1.0 4.731 * [taylor]: Taking taylor expansion of k in k 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [taylor]: Taking taylor expansion of (log n) in k 4.731 * [taylor]: Taking taylor expansion of n in k 4.731 * [backup-simplify]: Simplify n into n 4.731 * [backup-simplify]: Simplify (log n) into (log n) 4.731 * [backup-simplify]: Simplify (- 0) into 0 4.732 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.732 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.732 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 4.732 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.732 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.732 * [taylor]: Taking taylor expansion of 0.5 in n 4.732 * [backup-simplify]: Simplify 0.5 into 0.5 4.732 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [backup-simplify]: Simplify 1.0 into 1.0 4.732 * [taylor]: Taking taylor expansion of k in n 4.732 * [backup-simplify]: Simplify k into k 4.732 * [taylor]: Taking taylor expansion of (log n) in n 4.732 * [taylor]: Taking taylor expansion of n in n 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.733 * [backup-simplify]: Simplify (log 1) into 0 4.733 * [backup-simplify]: Simplify (- k) into (- k) 4.733 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.733 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.733 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.733 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.733 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.733 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.733 * [taylor]: Taking taylor expansion of 0.5 in n 4.733 * [backup-simplify]: Simplify 0.5 into 0.5 4.733 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.733 * [taylor]: Taking taylor expansion of 1.0 in n 4.733 * [backup-simplify]: Simplify 1.0 into 1.0 4.733 * [taylor]: Taking taylor expansion of k in n 4.734 * [backup-simplify]: Simplify k into k 4.734 * [taylor]: Taking taylor expansion of (log n) in n 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 1 into 1 4.734 * [backup-simplify]: Simplify (log 1) into 0 4.734 * [backup-simplify]: Simplify (- k) into (- k) 4.734 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 4.734 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 4.734 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.734 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 4.734 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 4.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.735 * [taylor]: Taking taylor expansion of 0.5 in k 4.735 * [backup-simplify]: Simplify 0.5 into 0.5 4.735 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.735 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.735 * [taylor]: Taking taylor expansion of 1.0 in k 4.735 * [backup-simplify]: Simplify 1.0 into 1.0 4.735 * [taylor]: Taking taylor expansion of k in k 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [taylor]: Taking taylor expansion of (log n) in k 4.735 * [taylor]: Taking taylor expansion of n in k 4.735 * [backup-simplify]: Simplify n into n 4.735 * [backup-simplify]: Simplify (log n) into (log n) 4.735 * [backup-simplify]: Simplify (- 0) into 0 4.735 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.735 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 4.735 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (log n))) into (* 0.5 (log n)) 4.735 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 4.736 * [backup-simplify]: Simplify (pow n 0.5) into (pow n 0.5) 4.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.737 * [backup-simplify]: Simplify (- 0) into 0 4.737 * [backup-simplify]: Simplify (+ 0 0) into 0 4.737 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 4.738 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.738 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (log n))) into 0 4.738 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.738 * [taylor]: Taking taylor expansion of 0 in k 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 4.739 * [backup-simplify]: Simplify (- 1) into -1 4.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.740 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (log n))) into (- (log n)) 4.740 * [backup-simplify]: Simplify (+ (* 0.5 (- (log n))) (* 0 (* 1.0 (log n)))) into (- (* 0.5 (log n))) 4.740 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.741 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 4.742 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.743 * [backup-simplify]: Simplify (- 0) into 0 4.743 * [backup-simplify]: Simplify (+ 0 0) into 0 4.744 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 4.744 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 4.744 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 4.745 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.745 * [taylor]: Taking taylor expansion of 0 in k 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 4.749 * [backup-simplify]: Simplify (- 0) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (log n)))) into 0 4.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (log n))) (* 0 (* 1.0 (log n))))) into 0 4.751 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.752 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 4.753 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) (* k 1)) (pow n 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) 4.753 * [backup-simplify]: Simplify (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) 4.753 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.753 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.753 * [taylor]: Taking taylor expansion of 0.5 in k 4.753 * [backup-simplify]: Simplify 0.5 into 0.5 4.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.753 * [taylor]: Taking taylor expansion of 1.0 in k 4.753 * [backup-simplify]: Simplify 1.0 into 1.0 4.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.753 * [taylor]: Taking taylor expansion of k in k 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (/ 1 1) into 1 4.754 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.754 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.754 * [taylor]: Taking taylor expansion of n in k 4.754 * [backup-simplify]: Simplify n into n 4.754 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 4.754 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 4.754 * [backup-simplify]: Simplify (- 1) into -1 4.754 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.755 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.755 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 4.755 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 4.755 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.755 * [taylor]: Taking taylor expansion of 0.5 in n 4.755 * [backup-simplify]: Simplify 0.5 into 0.5 4.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.755 * [taylor]: Taking taylor expansion of 1.0 in n 4.755 * [backup-simplify]: Simplify 1.0 into 1.0 4.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.755 * [taylor]: Taking taylor expansion of k in n 4.755 * [backup-simplify]: Simplify k into k 4.755 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.755 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.755 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.755 * [taylor]: Taking taylor expansion of n in n 4.755 * [backup-simplify]: Simplify 0 into 0 4.755 * [backup-simplify]: Simplify 1 into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.756 * [backup-simplify]: Simplify (log 1) into 0 4.756 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.756 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.756 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.756 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.756 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.756 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.757 * [taylor]: Taking taylor expansion of 0.5 in n 4.757 * [backup-simplify]: Simplify 0.5 into 0.5 4.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.757 * [taylor]: Taking taylor expansion of 1.0 in n 4.757 * [backup-simplify]: Simplify 1.0 into 1.0 4.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.757 * [taylor]: Taking taylor expansion of k in n 4.757 * [backup-simplify]: Simplify k into k 4.757 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.757 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.757 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.757 * [taylor]: Taking taylor expansion of n in n 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.757 * [backup-simplify]: Simplify (log 1) into 0 4.757 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.757 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.757 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 4.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.758 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 4.758 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.758 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.758 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.758 * [taylor]: Taking taylor expansion of -0.5 in k 4.758 * [backup-simplify]: Simplify -0.5 into -0.5 4.758 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.758 * [taylor]: Taking taylor expansion of (log n) in k 4.758 * [taylor]: Taking taylor expansion of n in k 4.758 * [backup-simplify]: Simplify n into n 4.758 * [backup-simplify]: Simplify (log n) into (log n) 4.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.758 * [taylor]: Taking taylor expansion of 1.0 in k 4.758 * [backup-simplify]: Simplify 1.0 into 1.0 4.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.758 * [taylor]: Taking taylor expansion of k in k 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (/ 1 1) into 1 4.759 * [backup-simplify]: Simplify (- 1) into -1 4.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.759 * [backup-simplify]: Simplify (* (log n) -1) into (* -1 (log n)) 4.759 * [backup-simplify]: Simplify (* -0.5 (* -1 (log n))) into (* 0.5 (log n)) 4.759 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.759 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 4.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.761 * [backup-simplify]: Simplify (- 0) into 0 4.761 * [backup-simplify]: Simplify (+ 0 0) into 0 4.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 4.762 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.762 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 4.763 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.763 * [taylor]: Taking taylor expansion of 0 in k 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.766 * [backup-simplify]: Simplify (- 0) into 0 4.767 * [backup-simplify]: Simplify (+ 0 0) into 0 4.767 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 4.768 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.768 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 4.769 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.769 * [taylor]: Taking taylor expansion of 0 in k 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.773 * [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 4.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.773 * [backup-simplify]: Simplify (- 0) into 0 4.773 * [backup-simplify]: Simplify (+ 0 0) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 4.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 4.775 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 4.776 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.776 * [taylor]: Taking taylor expansion of 0 in k 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) 4.776 * [backup-simplify]: Simplify (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) 4.776 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.776 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.776 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.777 * [taylor]: Taking taylor expansion of 0.5 in k 4.777 * [backup-simplify]: Simplify 0.5 into 0.5 4.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.777 * [taylor]: Taking taylor expansion of k in k 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (/ 1 1) into 1 4.777 * [taylor]: Taking taylor expansion of 1.0 in k 4.777 * [backup-simplify]: Simplify 1.0 into 1.0 4.777 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.777 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.777 * [taylor]: Taking taylor expansion of -1 in k 4.777 * [backup-simplify]: Simplify -1 into -1 4.777 * [taylor]: Taking taylor expansion of n in k 4.777 * [backup-simplify]: Simplify n into n 4.777 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 4.777 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 4.777 * [backup-simplify]: Simplify (+ 1 0) into 1 4.778 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.778 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 4.778 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 4.778 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.778 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.778 * [taylor]: Taking taylor expansion of 0.5 in n 4.778 * [backup-simplify]: Simplify 0.5 into 0.5 4.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.778 * [taylor]: Taking taylor expansion of k in n 4.778 * [backup-simplify]: Simplify k into k 4.778 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.778 * [taylor]: Taking taylor expansion of 1.0 in n 4.778 * [backup-simplify]: Simplify 1.0 into 1.0 4.778 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.778 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.778 * [taylor]: Taking taylor expansion of -1 in n 4.778 * [backup-simplify]: Simplify -1 into -1 4.778 * [taylor]: Taking taylor expansion of n in n 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [backup-simplify]: Simplify (/ -1 1) into -1 4.779 * [backup-simplify]: Simplify (log -1) into (log -1) 4.779 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.779 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.780 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.780 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.780 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.780 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.780 * [taylor]: Taking taylor expansion of 0.5 in n 4.780 * [backup-simplify]: Simplify 0.5 into 0.5 4.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.780 * [taylor]: Taking taylor expansion of k in n 4.780 * [backup-simplify]: Simplify k into k 4.780 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.780 * [taylor]: Taking taylor expansion of 1.0 in n 4.780 * [backup-simplify]: Simplify 1.0 into 1.0 4.780 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.780 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.781 * [taylor]: Taking taylor expansion of -1 in n 4.781 * [backup-simplify]: Simplify -1 into -1 4.781 * [taylor]: Taking taylor expansion of n in n 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (/ -1 1) into -1 4.781 * [backup-simplify]: Simplify (log -1) into (log -1) 4.781 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.781 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.782 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.782 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 4.782 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.783 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.783 * [taylor]: Taking taylor expansion of 0.5 in k 4.783 * [backup-simplify]: Simplify 0.5 into 0.5 4.783 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.783 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.783 * [taylor]: Taking taylor expansion of (log -1) in k 4.783 * [taylor]: Taking taylor expansion of -1 in k 4.783 * [backup-simplify]: Simplify -1 into -1 4.783 * [backup-simplify]: Simplify (log -1) into (log -1) 4.783 * [taylor]: Taking taylor expansion of (log n) in k 4.783 * [taylor]: Taking taylor expansion of n in k 4.783 * [backup-simplify]: Simplify n into n 4.783 * [backup-simplify]: Simplify (log n) into (log n) 4.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.783 * [taylor]: Taking taylor expansion of k in k 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (/ 1 1) into 1 4.783 * [taylor]: Taking taylor expansion of 1.0 in k 4.783 * [backup-simplify]: Simplify 1.0 into 1.0 4.783 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 4.784 * [backup-simplify]: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 4.784 * [backup-simplify]: Simplify (+ 1 0) into 1 4.784 * [backup-simplify]: Simplify (* (- (log -1) (log n)) 1) into (- (log -1) (log n)) 4.785 * [backup-simplify]: Simplify (* 0.5 (- (log -1) (log n))) into (* 0.5 (- (log -1) (log n))) 4.785 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.785 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 4.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 4.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.788 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.788 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log -1) (log n)))) into 0 4.789 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.789 * [taylor]: Taking taylor expansion of 0 in k 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 4.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.792 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 4.793 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.794 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 4.795 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.795 * [taylor]: Taking taylor expansion of 0 in k 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.799 * [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 4.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 4.799 * [backup-simplify]: Simplify (+ 0 0) into 0 4.800 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 4.801 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 4.801 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 4.803 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.803 * [taylor]: Taking taylor expansion of 0 in k 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 4.803 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 4.803 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 k) 2.0)) into (pow PI (* 0.5 (- 1.0 k))) 4.803 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 4.803 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.803 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.803 * [taylor]: Taking taylor expansion of 0.5 in k 4.803 * [backup-simplify]: Simplify 0.5 into 0.5 4.804 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.804 * [taylor]: Taking taylor expansion of 1.0 in k 4.804 * [backup-simplify]: Simplify 1.0 into 1.0 4.804 * [taylor]: Taking taylor expansion of k in k 4.804 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify 1 into 1 4.804 * [taylor]: Taking taylor expansion of (log PI) in k 4.804 * [taylor]: Taking taylor expansion of PI in k 4.804 * [backup-simplify]: Simplify PI into PI 4.804 * [backup-simplify]: Simplify (log PI) into (log PI) 4.804 * [backup-simplify]: Simplify (- 0) into 0 4.804 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.805 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.809 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.810 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.810 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.810 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.811 * [taylor]: Taking taylor expansion of 0.5 in k 4.811 * [backup-simplify]: Simplify 0.5 into 0.5 4.811 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.811 * [taylor]: Taking taylor expansion of 1.0 in k 4.811 * [backup-simplify]: Simplify 1.0 into 1.0 4.811 * [taylor]: Taking taylor expansion of k in k 4.811 * [backup-simplify]: Simplify 0 into 0 4.811 * [backup-simplify]: Simplify 1 into 1 4.811 * [taylor]: Taking taylor expansion of (log PI) in k 4.811 * [taylor]: Taking taylor expansion of PI in k 4.811 * [backup-simplify]: Simplify PI into PI 4.811 * [backup-simplify]: Simplify (log PI) into (log PI) 4.811 * [backup-simplify]: Simplify (- 0) into 0 4.811 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.812 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.812 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.813 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.814 * [backup-simplify]: Simplify (pow PI 0.5) into (pow PI 0.5) 4.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.815 * [backup-simplify]: Simplify (- 1) into -1 4.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.816 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.818 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 4.823 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 4.826 * [backup-simplify]: Simplify (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 4.827 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 4.828 * [backup-simplify]: Simplify (- 0) into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 4.836 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 4.839 * [backup-simplify]: Simplify (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 4.844 * [backup-simplify]: Simplify (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow k 2)) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) k) (pow PI 0.5))) into (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) 4.845 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 k)) 2.0)) into (pow PI (* 0.5 (- 1.0 (/ 1 k)))) 4.845 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.845 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.845 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.845 * [taylor]: Taking taylor expansion of 0.5 in k 4.845 * [backup-simplify]: Simplify 0.5 into 0.5 4.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.845 * [taylor]: Taking taylor expansion of 1.0 in k 4.845 * [backup-simplify]: Simplify 1.0 into 1.0 4.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.845 * [taylor]: Taking taylor expansion of k in k 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (/ 1 1) into 1 4.845 * [taylor]: Taking taylor expansion of (log PI) in k 4.845 * [taylor]: Taking taylor expansion of PI in k 4.845 * [backup-simplify]: Simplify PI into PI 4.845 * [backup-simplify]: Simplify (log PI) into (log PI) 4.846 * [backup-simplify]: Simplify (- 1) into -1 4.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.846 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.847 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 4.847 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.847 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.847 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.847 * [taylor]: Taking taylor expansion of 0.5 in k 4.847 * [backup-simplify]: Simplify 0.5 into 0.5 4.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.847 * [taylor]: Taking taylor expansion of 1.0 in k 4.847 * [backup-simplify]: Simplify 1.0 into 1.0 4.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.847 * [taylor]: Taking taylor expansion of k in k 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (/ 1 1) into 1 4.848 * [taylor]: Taking taylor expansion of (log PI) in k 4.848 * [taylor]: Taking taylor expansion of PI in k 4.848 * [backup-simplify]: Simplify PI into PI 4.848 * [backup-simplify]: Simplify (log PI) into (log PI) 4.848 * [backup-simplify]: Simplify (- 1) into -1 4.848 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.849 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.849 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 4.850 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.850 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 4.851 * [backup-simplify]: Simplify (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow PI (* 0.5 (+ (/ 1 k) 1.0))) 4.851 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.851 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.851 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.851 * [taylor]: Taking taylor expansion of 0.5 in k 4.851 * [backup-simplify]: Simplify 0.5 into 0.5 4.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.851 * [taylor]: Taking taylor expansion of k in k 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [taylor]: Taking taylor expansion of 1.0 in k 4.851 * [backup-simplify]: Simplify 1.0 into 1.0 4.852 * [taylor]: Taking taylor expansion of (log PI) in k 4.852 * [taylor]: Taking taylor expansion of PI in k 4.852 * [backup-simplify]: Simplify PI into PI 4.852 * [backup-simplify]: Simplify (log PI) into (log PI) 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.852 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.853 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.853 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.853 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.853 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.853 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.853 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.853 * [taylor]: Taking taylor expansion of 0.5 in k 4.853 * [backup-simplify]: Simplify 0.5 into 0.5 4.853 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.854 * [taylor]: Taking taylor expansion of k in k 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [backup-simplify]: Simplify (/ 1 1) into 1 4.854 * [taylor]: Taking taylor expansion of 1.0 in k 4.854 * [backup-simplify]: Simplify 1.0 into 1.0 4.854 * [taylor]: Taking taylor expansion of (log PI) in k 4.854 * [taylor]: Taking taylor expansion of PI in k 4.854 * [backup-simplify]: Simplify PI into PI 4.854 * [backup-simplify]: Simplify (log PI) into (log PI) 4.854 * [backup-simplify]: Simplify (+ 1 0) into 1 4.855 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.855 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.856 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.856 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 4.857 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.857 * [backup-simplify]: Simplify (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k)) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) 4.857 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 4.857 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 4.857 * [taylor]: Taking taylor expansion of 1.0 in k 4.857 * [backup-simplify]: Simplify 1.0 into 1.0 4.857 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 4.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.857 * [taylor]: Taking taylor expansion of k in k 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify 1 into 1 4.858 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [backup-simplify]: Simplify (sqrt 0) into 0 4.859 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.859 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 4.859 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.859 * [taylor]: Taking taylor expansion of 0.5 in k 4.859 * [backup-simplify]: Simplify 0.5 into 0.5 4.859 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.859 * [taylor]: Taking taylor expansion of 1.0 in k 4.859 * [backup-simplify]: Simplify 1.0 into 1.0 4.859 * [taylor]: Taking taylor expansion of k in k 4.859 * [backup-simplify]: Simplify 0 into 0 4.859 * [backup-simplify]: Simplify 1 into 1 4.859 * [taylor]: Taking taylor expansion of (log PI) in k 4.859 * [taylor]: Taking taylor expansion of PI in k 4.859 * [backup-simplify]: Simplify PI into PI 4.859 * [backup-simplify]: Simplify (log PI) into (log PI) 4.860 * [backup-simplify]: Simplify (- 0) into 0 4.860 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.860 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.861 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.862 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.862 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.862 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.862 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.862 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.862 * [taylor]: Taking taylor expansion of 0.5 in k 4.862 * [backup-simplify]: Simplify 0.5 into 0.5 4.862 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.862 * [taylor]: Taking taylor expansion of 1.0 in k 4.862 * [backup-simplify]: Simplify 1.0 into 1.0 4.862 * [taylor]: Taking taylor expansion of k in k 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.862 * [taylor]: Taking taylor expansion of 2.0 in k 4.862 * [backup-simplify]: Simplify 2.0 into 2.0 4.862 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.863 * [backup-simplify]: Simplify (- 0) into 0 4.863 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.863 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.864 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 4.865 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 4.865 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 4.865 * [taylor]: Taking taylor expansion of 1.0 in k 4.865 * [backup-simplify]: Simplify 1.0 into 1.0 4.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 4.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.865 * [taylor]: Taking taylor expansion of k in k 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (/ 1 1) into 1 4.865 * [backup-simplify]: Simplify (sqrt 0) into 0 4.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.866 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 4.866 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.866 * [taylor]: Taking taylor expansion of 0.5 in k 4.866 * [backup-simplify]: Simplify 0.5 into 0.5 4.866 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.866 * [taylor]: Taking taylor expansion of 1.0 in k 4.866 * [backup-simplify]: Simplify 1.0 into 1.0 4.866 * [taylor]: Taking taylor expansion of k in k 4.866 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify 1 into 1 4.866 * [taylor]: Taking taylor expansion of (log PI) in k 4.866 * [taylor]: Taking taylor expansion of PI in k 4.867 * [backup-simplify]: Simplify PI into PI 4.867 * [backup-simplify]: Simplify (log PI) into (log PI) 4.867 * [backup-simplify]: Simplify (- 0) into 0 4.867 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.868 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.868 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 4.869 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 4.869 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.869 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.869 * [taylor]: Taking taylor expansion of 0.5 in k 4.869 * [backup-simplify]: Simplify 0.5 into 0.5 4.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.869 * [taylor]: Taking taylor expansion of 1.0 in k 4.869 * [backup-simplify]: Simplify 1.0 into 1.0 4.869 * [taylor]: Taking taylor expansion of k in k 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.869 * [taylor]: Taking taylor expansion of 2.0 in k 4.869 * [backup-simplify]: Simplify 2.0 into 2.0 4.870 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 4.870 * [backup-simplify]: Simplify (- 0) into 0 4.870 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.870 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 4.871 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 4.872 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 4.873 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow 2.0 0.5)) into (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) 4.874 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) into 0 4.874 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.874 * [backup-simplify]: Simplify 0 into 0 4.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 4.875 * [backup-simplify]: Simplify (- 1) into -1 4.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.876 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 4.884 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 4.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 4.885 * [backup-simplify]: Simplify (- 1) into -1 4.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.886 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 4.888 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 4.894 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 4.911 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow 2.0 0.5))) into (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))))) 4.917 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.924 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) 4.928 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) 4.930 * [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 4.930 * [backup-simplify]: Simplify (- 0) into 0 4.931 * [backup-simplify]: Simplify (+ 0 0) into 0 4.931 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 4.939 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 4.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 4.941 * [backup-simplify]: Simplify (- 0) into 0 4.941 * [backup-simplify]: Simplify (+ 0 0) into 0 4.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 4.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 4.950 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 4.969 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow 2.0 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) 4.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.999 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))))) 5.024 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) 5.045 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) 5.048 * [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 5.049 * [backup-simplify]: Simplify (- 0) into 0 5.049 * [backup-simplify]: Simplify (+ 0 0) into 0 5.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 5.059 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 5.063 * [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 5.063 * [backup-simplify]: Simplify (- 0) into 0 5.063 * [backup-simplify]: Simplify (+ 0 0) into 0 5.064 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 5.075 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 5.115 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5)))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5)))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow 2.0 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3))))))) 5.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.174 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 3)))))))) (+ (* +nan.0 (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))) (+ (* +nan.0 (- (+ (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI)))))) (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))))))))))))) 5.259 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) 5.329 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) 5.414 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (log PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) k) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))))))))))))) 5.414 * [backup-simplify]: Simplify (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) (sqrt (/ 1 k))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) 5.414 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 5.414 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 5.415 * [taylor]: Taking taylor expansion of 1.0 in k 5.415 * [backup-simplify]: Simplify 1.0 into 1.0 5.415 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.415 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.415 * [taylor]: Taking taylor expansion of k in k 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (sqrt 0) into 0 5.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.416 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 5.416 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 5.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 5.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 5.416 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.416 * [taylor]: Taking taylor expansion of 0.5 in k 5.416 * [backup-simplify]: Simplify 0.5 into 0.5 5.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.416 * [taylor]: Taking taylor expansion of 1.0 in k 5.416 * [backup-simplify]: Simplify 1.0 into 1.0 5.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.416 * [taylor]: Taking taylor expansion of k in k 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.416 * [taylor]: Taking taylor expansion of 2.0 in k 5.416 * [backup-simplify]: Simplify 2.0 into 2.0 5.417 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.417 * [backup-simplify]: Simplify (- 1) into -1 5.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.418 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.418 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 5.418 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 5.418 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.419 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.419 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.419 * [taylor]: Taking taylor expansion of 0.5 in k 5.419 * [backup-simplify]: Simplify 0.5 into 0.5 5.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.419 * [taylor]: Taking taylor expansion of 1.0 in k 5.419 * [backup-simplify]: Simplify 1.0 into 1.0 5.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.419 * [taylor]: Taking taylor expansion of k in k 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.419 * [taylor]: Taking taylor expansion of (log PI) in k 5.419 * [taylor]: Taking taylor expansion of PI in k 5.419 * [backup-simplify]: Simplify PI into PI 5.419 * [backup-simplify]: Simplify (log PI) into (log PI) 5.419 * [backup-simplify]: Simplify (- 1) into -1 5.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.420 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.421 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 5.421 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 5.421 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 5.421 * [taylor]: Taking taylor expansion of 1.0 in k 5.421 * [backup-simplify]: Simplify 1.0 into 1.0 5.421 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.421 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.421 * [taylor]: Taking taylor expansion of k in k 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (sqrt 0) into 0 5.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 5.422 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 5.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 5.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 5.422 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.422 * [taylor]: Taking taylor expansion of 0.5 in k 5.422 * [backup-simplify]: Simplify 0.5 into 0.5 5.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.422 * [taylor]: Taking taylor expansion of 1.0 in k 5.422 * [backup-simplify]: Simplify 1.0 into 1.0 5.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.423 * [taylor]: Taking taylor expansion of k in k 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 1 into 1 5.423 * [backup-simplify]: Simplify (/ 1 1) into 1 5.423 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.423 * [taylor]: Taking taylor expansion of 2.0 in k 5.423 * [backup-simplify]: Simplify 2.0 into 2.0 5.423 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.423 * [backup-simplify]: Simplify (- 1) into -1 5.424 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.424 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.425 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 5.425 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 5.425 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.425 * [taylor]: Taking taylor expansion of 0.5 in k 5.425 * [backup-simplify]: Simplify 0.5 into 0.5 5.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.425 * [taylor]: Taking taylor expansion of 1.0 in k 5.425 * [backup-simplify]: Simplify 1.0 into 1.0 5.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.425 * [taylor]: Taking taylor expansion of k in k 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 1 into 1 5.426 * [backup-simplify]: Simplify (/ 1 1) into 1 5.426 * [taylor]: Taking taylor expansion of (log PI) in k 5.426 * [taylor]: Taking taylor expansion of PI in k 5.426 * [backup-simplify]: Simplify PI into PI 5.427 * [backup-simplify]: Simplify (log PI) into (log PI) 5.427 * [backup-simplify]: Simplify (- 1) into -1 5.427 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.428 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 5.428 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 5.429 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 5.430 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 5.430 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 5.431 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.431 * [backup-simplify]: Simplify 0 into 0 5.432 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 5.433 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.434 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.435 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.436 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 5.438 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.439 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.441 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.442 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.443 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 5.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.449 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.450 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 5.454 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 3)))))))) 5.454 * [backup-simplify]: Simplify (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) (sqrt (/ 1 (- k)))) into (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) 5.454 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 5.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 5.454 * [taylor]: Taking taylor expansion of 1.0 in k 5.454 * [backup-simplify]: Simplify 1.0 into 1.0 5.454 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 5.454 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.454 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 5.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 5.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 5.454 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.454 * [taylor]: Taking taylor expansion of 0.5 in k 5.454 * [backup-simplify]: Simplify 0.5 into 0.5 5.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.455 * [taylor]: Taking taylor expansion of k in k 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [backup-simplify]: Simplify (/ 1 1) into 1 5.455 * [taylor]: Taking taylor expansion of 1.0 in k 5.455 * [backup-simplify]: Simplify 1.0 into 1.0 5.455 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.455 * [taylor]: Taking taylor expansion of 2.0 in k 5.455 * [backup-simplify]: Simplify 2.0 into 2.0 5.455 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.456 * [backup-simplify]: Simplify (+ 1 0) into 1 5.456 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.457 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 5.457 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 5.457 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.457 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.457 * [taylor]: Taking taylor expansion of 0.5 in k 5.457 * [backup-simplify]: Simplify 0.5 into 0.5 5.457 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.457 * [taylor]: Taking taylor expansion of k in k 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of 1.0 in k 5.458 * [backup-simplify]: Simplify 1.0 into 1.0 5.458 * [taylor]: Taking taylor expansion of (log PI) in k 5.458 * [taylor]: Taking taylor expansion of PI in k 5.458 * [backup-simplify]: Simplify PI into PI 5.458 * [backup-simplify]: Simplify (log PI) into (log PI) 5.458 * [backup-simplify]: Simplify (+ 1 0) into 1 5.458 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.459 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.466 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 5.466 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.466 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.466 * [taylor]: Taking taylor expansion of -1 in k 5.466 * [backup-simplify]: Simplify -1 into -1 5.466 * [taylor]: Taking taylor expansion of k in k 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ -1 1) into -1 5.467 * [backup-simplify]: Simplify (sqrt 0) into 0 5.468 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.468 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 5.469 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 5.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 5.469 * [taylor]: Taking taylor expansion of 1.0 in k 5.469 * [backup-simplify]: Simplify 1.0 into 1.0 5.469 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 5.469 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.469 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 5.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 5.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 5.469 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.469 * [taylor]: Taking taylor expansion of 0.5 in k 5.469 * [backup-simplify]: Simplify 0.5 into 0.5 5.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.469 * [taylor]: Taking taylor expansion of k in k 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.470 * [taylor]: Taking taylor expansion of 1.0 in k 5.470 * [backup-simplify]: Simplify 1.0 into 1.0 5.470 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.470 * [taylor]: Taking taylor expansion of 2.0 in k 5.470 * [backup-simplify]: Simplify 2.0 into 2.0 5.470 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.470 * [backup-simplify]: Simplify (+ 1 0) into 1 5.471 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.471 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 5.472 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 5.472 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.472 * [taylor]: Taking taylor expansion of 0.5 in k 5.472 * [backup-simplify]: Simplify 0.5 into 0.5 5.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.472 * [taylor]: Taking taylor expansion of k in k 5.472 * [backup-simplify]: Simplify 0 into 0 5.472 * [backup-simplify]: Simplify 1 into 1 5.472 * [backup-simplify]: Simplify (/ 1 1) into 1 5.472 * [taylor]: Taking taylor expansion of 1.0 in k 5.472 * [backup-simplify]: Simplify 1.0 into 1.0 5.472 * [taylor]: Taking taylor expansion of (log PI) in k 5.472 * [taylor]: Taking taylor expansion of PI in k 5.472 * [backup-simplify]: Simplify PI into PI 5.472 * [backup-simplify]: Simplify (log PI) into (log PI) 5.473 * [backup-simplify]: Simplify (+ 1 0) into 1 5.473 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.474 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.474 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 5.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.474 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.474 * [taylor]: Taking taylor expansion of -1 in k 5.474 * [backup-simplify]: Simplify -1 into -1 5.474 * [taylor]: Taking taylor expansion of k in k 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 1 into 1 5.474 * [backup-simplify]: Simplify (/ -1 1) into -1 5.475 * [backup-simplify]: Simplify (sqrt 0) into 0 5.476 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.476 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 5.477 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 5.478 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 5.479 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 5.479 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 5.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.483 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 5.484 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 5.485 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 5.486 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 5.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.491 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 5.493 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 5.494 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 5.497 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) into (- (+ (* +nan.0 (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (pow k 2)))))))) 5.497 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.497 * [backup-simplify]: Simplify (* (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) into (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))))) 5.497 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))))) in (k n) around 0 5.497 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))))) in n 5.497 * [taylor]: Taking taylor expansion of 1.0 in n 5.497 * [backup-simplify]: Simplify 1.0 into 1.0 5.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 5.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.497 * [taylor]: Taking taylor expansion of k in n 5.497 * [backup-simplify]: Simplify k into k 5.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 5.497 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 5.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 5.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 5.498 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 5.498 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 5.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 5.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 5.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.498 * [taylor]: Taking taylor expansion of 0.5 in n 5.498 * [backup-simplify]: Simplify 0.5 into 0.5 5.498 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.498 * [taylor]: Taking taylor expansion of 1.0 in n 5.498 * [backup-simplify]: Simplify 1.0 into 1.0 5.498 * [taylor]: Taking taylor expansion of k in n 5.498 * [backup-simplify]: Simplify k into k 5.498 * [taylor]: Taking taylor expansion of (log PI) in n 5.498 * [taylor]: Taking taylor expansion of PI in n 5.498 * [backup-simplify]: Simplify PI into PI 5.498 * [backup-simplify]: Simplify (log PI) into (log PI) 5.498 * [backup-simplify]: Simplify (- k) into (- k) 5.498 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.498 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.499 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log PI)) into (* 0.5 (* (- 1.0 k) (log PI))) 5.499 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log PI)))) into (exp (* 0.5 (* (- 1.0 k) (log PI)))) 5.499 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 5.499 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 5.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 5.499 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 5.499 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.499 * [taylor]: Taking taylor expansion of 0.5 in n 5.499 * [backup-simplify]: Simplify 0.5 into 0.5 5.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.499 * [taylor]: Taking taylor expansion of 1.0 in n 5.499 * [backup-simplify]: Simplify 1.0 into 1.0 5.499 * [taylor]: Taking taylor expansion of k in n 5.499 * [backup-simplify]: Simplify k into k 5.499 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.499 * [taylor]: Taking taylor expansion of 2.0 in n 5.499 * [backup-simplify]: Simplify 2.0 into 2.0 5.499 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.499 * [backup-simplify]: Simplify (- k) into (- k) 5.499 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.500 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.500 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log 2.0)) into (* 0.5 (* (- 1.0 k) (log 2.0))) 5.500 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) 5.500 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.500 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.500 * [taylor]: Taking taylor expansion of 0.5 in n 5.500 * [backup-simplify]: Simplify 0.5 into 0.5 5.500 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.500 * [taylor]: Taking taylor expansion of 1.0 in n 5.500 * [backup-simplify]: Simplify 1.0 into 1.0 5.500 * [taylor]: Taking taylor expansion of k in n 5.500 * [backup-simplify]: Simplify k into k 5.500 * [taylor]: Taking taylor expansion of (log n) in n 5.500 * [taylor]: Taking taylor expansion of n in n 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 1 into 1 5.501 * [backup-simplify]: Simplify (log 1) into 0 5.501 * [backup-simplify]: Simplify (- k) into (- k) 5.501 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 5.501 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 5.501 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.501 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log n)) into (* 0.5 (* (- 1.0 k) (log n))) 5.501 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log n)))) into (exp (* 0.5 (* (- 1.0 k) (log n)))) 5.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))))) in k 5.501 * [taylor]: Taking taylor expansion of 1.0 in k 5.501 * [backup-simplify]: Simplify 1.0 into 1.0 5.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 5.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.501 * [taylor]: Taking taylor expansion of k in k 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.502 * [backup-simplify]: Simplify (/ 1 1) into 1 5.502 * [backup-simplify]: Simplify (sqrt 0) into 0 5.503 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.503 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 5.503 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 5.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 5.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 5.503 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.503 * [taylor]: Taking taylor expansion of 0.5 in k 5.503 * [backup-simplify]: Simplify 0.5 into 0.5 5.503 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.503 * [taylor]: Taking taylor expansion of 1.0 in k 5.503 * [backup-simplify]: Simplify 1.0 into 1.0 5.503 * [taylor]: Taking taylor expansion of k in k 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 1 into 1 5.503 * [taylor]: Taking taylor expansion of (log PI) in k 5.503 * [taylor]: Taking taylor expansion of PI in k 5.503 * [backup-simplify]: Simplify PI into PI 5.503 * [backup-simplify]: Simplify (log PI) into (log PI) 5.503 * [backup-simplify]: Simplify (- 0) into 0 5.504 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.504 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.505 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.506 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 5.506 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.506 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 5.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 5.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 5.506 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.506 * [taylor]: Taking taylor expansion of 0.5 in k 5.506 * [backup-simplify]: Simplify 0.5 into 0.5 5.506 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.506 * [taylor]: Taking taylor expansion of 1.0 in k 5.506 * [backup-simplify]: Simplify 1.0 into 1.0 5.506 * [taylor]: Taking taylor expansion of k in k 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [backup-simplify]: Simplify 1 into 1 5.506 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.506 * [taylor]: Taking taylor expansion of 2.0 in k 5.506 * [backup-simplify]: Simplify 2.0 into 2.0 5.506 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.506 * [backup-simplify]: Simplify (- 0) into 0 5.507 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.507 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.507 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 5.508 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 5.508 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.509 * [taylor]: Taking taylor expansion of 0.5 in k 5.509 * [backup-simplify]: Simplify 0.5 into 0.5 5.509 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.509 * [taylor]: Taking taylor expansion of 1.0 in k 5.509 * [backup-simplify]: Simplify 1.0 into 1.0 5.509 * [taylor]: Taking taylor expansion of k in k 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 1 into 1 5.509 * [taylor]: Taking taylor expansion of (log n) in k 5.509 * [taylor]: Taking taylor expansion of n in k 5.509 * [backup-simplify]: Simplify n into n 5.509 * [backup-simplify]: Simplify (log n) into (log n) 5.509 * [backup-simplify]: Simplify (- 0) into 0 5.509 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.509 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.510 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.510 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.510 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))))) in k 5.510 * [taylor]: Taking taylor expansion of 1.0 in k 5.510 * [backup-simplify]: Simplify 1.0 into 1.0 5.510 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 5.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.510 * [taylor]: Taking taylor expansion of k in k 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [backup-simplify]: Simplify (/ 1 1) into 1 5.510 * [backup-simplify]: Simplify (sqrt 0) into 0 5.511 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.511 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 5.511 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 5.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 5.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 5.511 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.511 * [taylor]: Taking taylor expansion of 0.5 in k 5.511 * [backup-simplify]: Simplify 0.5 into 0.5 5.511 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.511 * [taylor]: Taking taylor expansion of 1.0 in k 5.511 * [backup-simplify]: Simplify 1.0 into 1.0 5.511 * [taylor]: Taking taylor expansion of k in k 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of (log PI) in k 5.511 * [taylor]: Taking taylor expansion of PI in k 5.511 * [backup-simplify]: Simplify PI into PI 5.512 * [backup-simplify]: Simplify (log PI) into (log PI) 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.512 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.513 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 5.514 * [backup-simplify]: Simplify (exp (* 0.5 (log PI))) into (pow PI 0.5) 5.514 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.514 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 5.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 5.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 5.514 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.514 * [taylor]: Taking taylor expansion of 0.5 in k 5.514 * [backup-simplify]: Simplify 0.5 into 0.5 5.514 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.514 * [taylor]: Taking taylor expansion of 1.0 in k 5.514 * [backup-simplify]: Simplify 1.0 into 1.0 5.514 * [taylor]: Taking taylor expansion of k in k 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 1 into 1 5.514 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.514 * [taylor]: Taking taylor expansion of 2.0 in k 5.514 * [backup-simplify]: Simplify 2.0 into 2.0 5.514 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.515 * [backup-simplify]: Simplify (- 0) into 0 5.515 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.515 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.516 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 5.517 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 5.517 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.517 * [taylor]: Taking taylor expansion of 0.5 in k 5.517 * [backup-simplify]: Simplify 0.5 into 0.5 5.517 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.517 * [taylor]: Taking taylor expansion of 1.0 in k 5.517 * [backup-simplify]: Simplify 1.0 into 1.0 5.517 * [taylor]: Taking taylor expansion of k in k 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of (log n) in k 5.517 * [taylor]: Taking taylor expansion of n in k 5.517 * [backup-simplify]: Simplify n into n 5.517 * [backup-simplify]: Simplify (log n) into (log n) 5.517 * [backup-simplify]: Simplify (- 0) into 0 5.518 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 5.518 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 5.518 * [backup-simplify]: Simplify (* 0.5 (log n)) into (* 0.5 (log n)) 5.518 * [backup-simplify]: Simplify (exp (* 0.5 (log n))) into (pow n 0.5) 5.518 * [backup-simplify]: Simplify (* (pow 2.0 0.5) (pow n 0.5)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5) 5.519 * [backup-simplify]: Simplify (* (pow PI 0.5) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) 5.520 * [backup-simplify]: Simplify (* 0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) into 0 5.520 * [backup-simplify]: Simplify (* 1.0 0) into 0 5.520 * [taylor]: Taking taylor expansion of 0 in n 5.520 * [backup-simplify]: Simplify 0 into 0 5.520 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 5.521 * [backup-simplify]: Simplify (- 1) into -1 5.521 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.522 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.523 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log n))) into (- (* 0.5 (log n))) 5.523 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 1) 1)))) into (* -0.5 (* (pow (pow n 1.0) 0.5) (log n))) 5.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 5.524 * [backup-simplify]: Simplify (- 1) into -1 5.525 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.526 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.527 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 5.533 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) 5.536 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5))) into (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) 5.536 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.537 * [backup-simplify]: Simplify (- 1) into -1 5.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.538 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 5.540 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log PI))) into (- (* 0.5 (log PI))) 5.545 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 1) 1)))) into (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) 5.549 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 5.554 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (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))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.555 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.555 * [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 5.555 * [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 5.555 * [taylor]: Taking taylor expansion of +nan.0 in n 5.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.555 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.555 * [taylor]: Taking taylor expansion of 0.5 in n 5.555 * [backup-simplify]: Simplify 0.5 into 0.5 5.555 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.555 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.555 * [taylor]: Taking taylor expansion of 1.0 in n 5.555 * [backup-simplify]: Simplify 1.0 into 1.0 5.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.555 * [taylor]: Taking taylor expansion of 2.0 in n 5.555 * [backup-simplify]: Simplify 2.0 into 2.0 5.556 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.556 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.563 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.563 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.564 * [taylor]: Taking taylor expansion of 1.0 in n 5.564 * [backup-simplify]: Simplify 1.0 into 1.0 5.564 * [taylor]: Taking taylor expansion of (log n) in n 5.564 * [taylor]: Taking taylor expansion of n in n 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (log 1) into 0 5.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.564 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.564 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.564 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.565 * [taylor]: Taking taylor expansion of 1.0 in n 5.565 * [backup-simplify]: Simplify 1.0 into 1.0 5.565 * [taylor]: Taking taylor expansion of (log PI) in n 5.565 * [taylor]: Taking taylor expansion of PI in n 5.565 * [backup-simplify]: Simplify PI into PI 5.565 * [backup-simplify]: Simplify (log PI) into (log PI) 5.566 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.567 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.568 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.569 * [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) 5.569 * [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)) 5.570 * [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))) 5.571 * [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) 5.572 * [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)) 5.573 * [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))) 5.574 * [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))) 5.574 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 5.576 * [backup-simplify]: Simplify (- 0) into 0 5.576 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.578 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log n)))) into 0 5.578 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2))) 5.580 * [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 5.580 * [backup-simplify]: Simplify (- 0) into 0 5.581 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.582 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 5.589 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) 5.597 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5)))) into (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) 5.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 5.599 * [backup-simplify]: Simplify (- 0) into 0 5.599 * [backup-simplify]: Simplify (+ 0 0) into 0 5.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 5.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log PI)))) into 0 5.607 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) 5.618 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))) into (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.634 * [backup-simplify]: Simplify (+ (* 0 (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))))) (+ (* +nan.0 (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (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)))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (log 2.0) (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))))))))) 5.640 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (log 2.0) (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)))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))))) 5.641 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))))) in n 5.641 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))) in n 5.641 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 5.641 * [taylor]: Taking taylor expansion of +nan.0 in n 5.641 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.641 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 5.641 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.641 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.641 * [taylor]: Taking taylor expansion of 0.5 in n 5.641 * [backup-simplify]: Simplify 0.5 into 0.5 5.641 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.641 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.641 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.641 * [taylor]: Taking taylor expansion of 1.0 in n 5.641 * [backup-simplify]: Simplify 1.0 into 1.0 5.641 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.641 * [taylor]: Taking taylor expansion of 2.0 in n 5.641 * [backup-simplify]: Simplify 2.0 into 2.0 5.641 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.642 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.643 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.643 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.643 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.643 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.643 * [taylor]: Taking taylor expansion of 1.0 in n 5.643 * [backup-simplify]: Simplify 1.0 into 1.0 5.643 * [taylor]: Taking taylor expansion of (log n) in n 5.643 * [taylor]: Taking taylor expansion of n in n 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (log 1) into 0 5.643 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.643 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.644 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.644 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.644 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.644 * [taylor]: Taking taylor expansion of 1.0 in n 5.644 * [backup-simplify]: Simplify 1.0 into 1.0 5.644 * [taylor]: Taking taylor expansion of (log PI) in n 5.644 * [taylor]: Taking taylor expansion of PI in n 5.644 * [backup-simplify]: Simplify PI into PI 5.644 * [backup-simplify]: Simplify (log PI) into (log PI) 5.645 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.646 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.646 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.647 * [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) 5.648 * [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)) 5.648 * [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))) 5.649 * [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) 5.649 * [taylor]: Taking taylor expansion of (log PI) in n 5.649 * [taylor]: Taking taylor expansion of PI in n 5.649 * [backup-simplify]: Simplify PI into PI 5.650 * [backup-simplify]: Simplify (log PI) into (log PI) 5.650 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 5.650 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 5.650 * [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 5.650 * [taylor]: Taking taylor expansion of +nan.0 in n 5.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.650 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.650 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.650 * [taylor]: Taking taylor expansion of 0.5 in n 5.650 * [backup-simplify]: Simplify 0.5 into 0.5 5.650 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.650 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.650 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.650 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.650 * [taylor]: Taking taylor expansion of 1.0 in n 5.650 * [backup-simplify]: Simplify 1.0 into 1.0 5.650 * [taylor]: Taking taylor expansion of (log PI) in n 5.650 * [taylor]: Taking taylor expansion of PI in n 5.650 * [backup-simplify]: Simplify PI into PI 5.650 * [backup-simplify]: Simplify (log PI) into (log PI) 5.651 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.652 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.652 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.652 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.652 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.652 * [taylor]: Taking taylor expansion of 1.0 in n 5.652 * [backup-simplify]: Simplify 1.0 into 1.0 5.652 * [taylor]: Taking taylor expansion of (log n) in n 5.652 * [taylor]: Taking taylor expansion of n in n 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (log 1) into 0 5.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.653 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.653 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.653 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.653 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.653 * [taylor]: Taking taylor expansion of 1.0 in n 5.653 * [backup-simplify]: Simplify 1.0 into 1.0 5.653 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.653 * [taylor]: Taking taylor expansion of 2.0 in n 5.653 * [backup-simplify]: Simplify 2.0 into 2.0 5.653 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.654 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.655 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.655 * [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) 5.662 * [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) 5.663 * [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)) 5.664 * [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))) 5.665 * [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) 5.665 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) in n 5.665 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 5.665 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 5.665 * [taylor]: Taking taylor expansion of +nan.0 in n 5.665 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.665 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 5.665 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.665 * [taylor]: Taking taylor expansion of 2.0 in n 5.665 * [backup-simplify]: Simplify 2.0 into 2.0 5.666 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.666 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.666 * [taylor]: Taking taylor expansion of 0.5 in n 5.666 * [backup-simplify]: Simplify 0.5 into 0.5 5.666 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.666 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.666 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.666 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.666 * [taylor]: Taking taylor expansion of 1.0 in n 5.666 * [backup-simplify]: Simplify 1.0 into 1.0 5.666 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.666 * [taylor]: Taking taylor expansion of 2.0 in n 5.666 * [backup-simplify]: Simplify 2.0 into 2.0 5.666 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.667 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.668 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.668 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.668 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.668 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.668 * [taylor]: Taking taylor expansion of 1.0 in n 5.668 * [backup-simplify]: Simplify 1.0 into 1.0 5.668 * [taylor]: Taking taylor expansion of (log n) in n 5.668 * [taylor]: Taking taylor expansion of n in n 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [backup-simplify]: Simplify (log 1) into 0 5.668 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.669 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.669 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.669 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.669 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.669 * [taylor]: Taking taylor expansion of 1.0 in n 5.669 * [backup-simplify]: Simplify 1.0 into 1.0 5.669 * [taylor]: Taking taylor expansion of (log PI) in n 5.669 * [taylor]: Taking taylor expansion of PI in n 5.669 * [backup-simplify]: Simplify PI into PI 5.669 * [backup-simplify]: Simplify (log PI) into (log PI) 5.670 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.671 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.671 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.672 * [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) 5.673 * [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)) 5.674 * [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))) 5.674 * [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) 5.675 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 5.675 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 5.675 * [taylor]: Taking taylor expansion of +nan.0 in n 5.675 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.675 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 5.675 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.675 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.675 * [taylor]: Taking taylor expansion of 0.5 in n 5.675 * [backup-simplify]: Simplify 0.5 into 0.5 5.675 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.675 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.675 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.675 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.675 * [taylor]: Taking taylor expansion of 1.0 in n 5.675 * [backup-simplify]: Simplify 1.0 into 1.0 5.675 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.675 * [taylor]: Taking taylor expansion of 2.0 in n 5.675 * [backup-simplify]: Simplify 2.0 into 2.0 5.675 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.676 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.677 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.677 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.677 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.677 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.677 * [taylor]: Taking taylor expansion of 1.0 in n 5.677 * [backup-simplify]: Simplify 1.0 into 1.0 5.677 * [taylor]: Taking taylor expansion of (log PI) in n 5.677 * [taylor]: Taking taylor expansion of PI in n 5.677 * [backup-simplify]: Simplify PI into PI 5.677 * [backup-simplify]: Simplify (log PI) into (log PI) 5.678 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.679 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.679 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.679 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.679 * [taylor]: Taking taylor expansion of 1.0 in n 5.679 * [backup-simplify]: Simplify 1.0 into 1.0 5.679 * [taylor]: Taking taylor expansion of (log n) in n 5.679 * [taylor]: Taking taylor expansion of n in n 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify (log 1) into 0 5.680 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.680 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.680 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.681 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.681 * [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) 5.682 * [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)) 5.683 * [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))) 5.684 * [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) 5.684 * [taylor]: Taking taylor expansion of (log n) in n 5.684 * [taylor]: Taking taylor expansion of n in n 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (log 1) into 0 5.686 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log PI)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) 5.687 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) 5.688 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.689 * [backup-simplify]: Simplify (* (log 2.0) (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 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 5.690 * [backup-simplify]: Simplify (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.690 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.691 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 5.692 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.693 * [backup-simplify]: Simplify (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) into (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) 5.695 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 5.697 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 5.700 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.704 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 5.708 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) 5.713 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))))))) 5.718 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (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)) (- (+ (* +nan.0 (* (log n) (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) (log PI)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) 5.720 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 5.720 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 5.721 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 5.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.723 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.723 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 5.724 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 5.724 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow PI 1.0))) into 0 5.725 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 5.726 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 5.727 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 5.728 * [backup-simplify]: Simplify (+ (* (pow 2.0 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow PI 1.0)) 1.0))) into 0 5.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1)))) 1) into 0 5.732 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)))) into 0 5.733 * [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)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.735 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 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 0 5.735 * [backup-simplify]: Simplify (- 0) into 0 5.735 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0 5.737 * [backup-simplify]: Simplify (- 0) into 0 5.737 * [backup-simplify]: Simplify (+ 0 0) into 0 5.738 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log n))))) into 0 5.740 * [backup-simplify]: Simplify (* (exp (* 0.5 (log n))) (+ (* (/ (pow (- (* 0.5 (log n))) 3) 6)) (* (/ (pow (- (* 0.5 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3))) 5.743 * [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 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.744 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.745 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log 2.0))))) into 0 5.754 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 3) 6)) (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) 5.770 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.020833333333333332 (* (pow (pow n 1.0) 0.5) (pow (log n) 3)))) (+ (* (* -0.5 (* (log 2.0) (pow (pow 2.0 1.0) 0.5))) (* 0.125 (* (pow (pow n 1.0) 0.5) (pow (log n) 2)))) (+ (* (* 0.125 (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) (* -0.5 (* (pow (pow n 1.0) 0.5) (log n)))) (* (* -0.020833333333333332 (* (pow (log 2.0) 3) (pow (pow 2.0 1.0) 0.5))) (pow n 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.0625 (* (* (pow (log 2.0) 2) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))))))) 5.773 * [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 5.773 * [backup-simplify]: Simplify (- 0) into 0 5.774 * [backup-simplify]: Simplify (+ 0 0) into 0 5.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 5.775 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log PI))))) into 0 5.784 * [backup-simplify]: Simplify (* (exp (* 0.5 (log PI))) (+ (* (/ (pow (- (* 0.5 (log PI))) 3) 6)) (* (/ (pow (- (* 0.5 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) 5.803 * [backup-simplify]: Simplify (+ (* (pow PI 0.5) (- (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.0625 (* (* (pow (log 2.0) 2) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5)))))))) (+ (* (* -0.5 (* (pow (pow PI 1.0) 0.5) (log PI))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (pow n 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* (* 0.125 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 2))) (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5)))))) (* (* -0.020833333333333332 (* (pow (pow PI 1.0) 0.5) (pow (log PI) 3))) (pow (* (pow n 1.0) (pow 2.0 1.0)) 0.5))))) into (- (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (pow (log PI) 2)))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (log 2.0) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 3))) (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (pow (log n) 2) (log PI)))))))))))))) 5.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.841 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 0.020833333333333332 (* (pow (log n) 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (log 2.0) 3) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (pow (log PI) 2)))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (pow (log 2.0) 2) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (log 2.0) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.0625 (* (* (log 2.0) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.020833333333333332 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 3))) (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (pow (log n) 2) (log PI))))))))))))))) (+ (* +nan.0 (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))))) (+ (* +nan.0 (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (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))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))))))))))))))))) 5.880 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))))))))))))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (log 2.0) (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)))))))))) (+ (* 0 (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))))))) 5.880 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))))))) in n 5.880 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))))))))))) in n 5.881 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 5.881 * [taylor]: Taking taylor expansion of +nan.0 in n 5.881 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.881 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 5.881 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.881 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.881 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.881 * [taylor]: Taking taylor expansion of 0.5 in n 5.881 * [backup-simplify]: Simplify 0.5 into 0.5 5.881 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.881 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.881 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.881 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.881 * [taylor]: Taking taylor expansion of 1.0 in n 5.881 * [backup-simplify]: Simplify 1.0 into 1.0 5.881 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.881 * [taylor]: Taking taylor expansion of 2.0 in n 5.881 * [backup-simplify]: Simplify 2.0 into 2.0 5.881 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.882 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.883 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.883 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.883 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.883 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.883 * [taylor]: Taking taylor expansion of 1.0 in n 5.883 * [backup-simplify]: Simplify 1.0 into 1.0 5.883 * [taylor]: Taking taylor expansion of (log PI) in n 5.883 * [taylor]: Taking taylor expansion of PI in n 5.883 * [backup-simplify]: Simplify PI into PI 5.884 * [backup-simplify]: Simplify (log PI) into (log PI) 5.885 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.886 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.886 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.886 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.886 * [taylor]: Taking taylor expansion of 1.0 in n 5.886 * [backup-simplify]: Simplify 1.0 into 1.0 5.886 * [taylor]: Taking taylor expansion of (log n) in n 5.886 * [taylor]: Taking taylor expansion of n in n 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (log 1) into 0 5.886 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.887 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.887 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.887 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.888 * [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) 5.889 * [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)) 5.890 * [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))) 5.890 * [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) 5.890 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 5.890 * [taylor]: Taking taylor expansion of (log n) in n 5.891 * [taylor]: Taking taylor expansion of n in n 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify (log 1) into 0 5.891 * [taylor]: Taking taylor expansion of (log PI) in n 5.891 * [taylor]: Taking taylor expansion of PI in n 5.891 * [backup-simplify]: Simplify PI into PI 5.891 * [backup-simplify]: Simplify (log PI) into (log PI) 5.891 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))))) in n 5.891 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))))))))) in n 5.891 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.891 * [taylor]: Taking taylor expansion of +nan.0 in n 5.891 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.891 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.891 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 5.891 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.891 * [taylor]: Taking taylor expansion of 2.0 in n 5.891 * [backup-simplify]: Simplify 2.0 into 2.0 5.892 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.892 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.892 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.892 * [taylor]: Taking taylor expansion of 0.5 in n 5.892 * [backup-simplify]: Simplify 0.5 into 0.5 5.892 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.892 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.892 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.892 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.892 * [taylor]: Taking taylor expansion of 1.0 in n 5.892 * [backup-simplify]: Simplify 1.0 into 1.0 5.892 * [taylor]: Taking taylor expansion of (log PI) in n 5.892 * [taylor]: Taking taylor expansion of PI in n 5.892 * [backup-simplify]: Simplify PI into PI 5.892 * [backup-simplify]: Simplify (log PI) into (log PI) 5.893 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.894 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.894 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.894 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.894 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.894 * [taylor]: Taking taylor expansion of 1.0 in n 5.894 * [backup-simplify]: Simplify 1.0 into 1.0 5.894 * [taylor]: Taking taylor expansion of (log n) in n 5.894 * [taylor]: Taking taylor expansion of n in n 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 1 into 1 5.894 * [backup-simplify]: Simplify (log 1) into 0 5.895 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.895 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.895 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.895 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.895 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.895 * [taylor]: Taking taylor expansion of 1.0 in n 5.895 * [backup-simplify]: Simplify 1.0 into 1.0 5.895 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.895 * [taylor]: Taking taylor expansion of 2.0 in n 5.895 * [backup-simplify]: Simplify 2.0 into 2.0 5.895 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.896 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.897 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.897 * [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) 5.898 * [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) 5.899 * [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)) 5.899 * [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))) 5.900 * [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) 5.900 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))) in n 5.900 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))))))) in n 5.901 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 5.901 * [taylor]: Taking taylor expansion of +nan.0 in n 5.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.901 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 5.901 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.901 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.901 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.901 * [taylor]: Taking taylor expansion of 0.5 in n 5.901 * [backup-simplify]: Simplify 0.5 into 0.5 5.901 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.901 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.901 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.901 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.901 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.901 * [taylor]: Taking taylor expansion of 1.0 in n 5.901 * [backup-simplify]: Simplify 1.0 into 1.0 5.901 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.901 * [taylor]: Taking taylor expansion of 2.0 in n 5.901 * [backup-simplify]: Simplify 2.0 into 2.0 5.901 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.902 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.903 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.903 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.903 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.903 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.903 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.903 * [taylor]: Taking taylor expansion of 1.0 in n 5.903 * [backup-simplify]: Simplify 1.0 into 1.0 5.903 * [taylor]: Taking taylor expansion of (log PI) in n 5.903 * [taylor]: Taking taylor expansion of PI in n 5.903 * [backup-simplify]: Simplify PI into PI 5.903 * [backup-simplify]: Simplify (log PI) into (log PI) 5.904 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.905 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.905 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.905 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.905 * [taylor]: Taking taylor expansion of 1.0 in n 5.905 * [backup-simplify]: Simplify 1.0 into 1.0 5.905 * [taylor]: Taking taylor expansion of (log n) in n 5.905 * [taylor]: Taking taylor expansion of n in n 5.905 * [backup-simplify]: Simplify 0 into 0 5.905 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (log 1) into 0 5.906 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.906 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.906 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.906 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.907 * [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) 5.908 * [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)) 5.908 * [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))) 5.909 * [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) 5.909 * [taylor]: Taking taylor expansion of (log n) in n 5.909 * [taylor]: Taking taylor expansion of n in n 5.909 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify 1 into 1 5.910 * [backup-simplify]: Simplify (log 1) into 0 5.910 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))) in n 5.910 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))))) in n 5.910 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 5.910 * [taylor]: Taking taylor expansion of +nan.0 in n 5.910 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.910 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 5.910 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.910 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.910 * [taylor]: Taking taylor expansion of 0.5 in n 5.910 * [backup-simplify]: Simplify 0.5 into 0.5 5.910 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.910 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.910 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.910 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.910 * [taylor]: Taking taylor expansion of 1.0 in n 5.910 * [backup-simplify]: Simplify 1.0 into 1.0 5.910 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.910 * [taylor]: Taking taylor expansion of 2.0 in n 5.910 * [backup-simplify]: Simplify 2.0 into 2.0 5.910 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.911 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.912 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.912 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.912 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.912 * [taylor]: Taking taylor expansion of 1.0 in n 5.912 * [backup-simplify]: Simplify 1.0 into 1.0 5.912 * [taylor]: Taking taylor expansion of (log PI) in n 5.912 * [taylor]: Taking taylor expansion of PI in n 5.912 * [backup-simplify]: Simplify PI into PI 5.912 * [backup-simplify]: Simplify (log PI) into (log PI) 5.913 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.914 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.914 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.914 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.914 * [taylor]: Taking taylor expansion of 1.0 in n 5.914 * [backup-simplify]: Simplify 1.0 into 1.0 5.914 * [taylor]: Taking taylor expansion of (log n) in n 5.914 * [taylor]: Taking taylor expansion of n in n 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.914 * [backup-simplify]: Simplify (log 1) into 0 5.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.915 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.915 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.915 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.916 * [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) 5.917 * [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)) 5.918 * [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))) 5.918 * [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) 5.919 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 5.919 * [taylor]: Taking taylor expansion of (log n) in n 5.919 * [taylor]: Taking taylor expansion of n in n 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 1 into 1 5.919 * [backup-simplify]: Simplify (log 1) into 0 5.919 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.919 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 5.919 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))) in n 5.919 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 5.919 * [taylor]: Taking taylor expansion of +nan.0 in n 5.919 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.919 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 5.919 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.919 * [taylor]: Taking taylor expansion of 0.5 in n 5.919 * [backup-simplify]: Simplify 0.5 into 0.5 5.919 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.919 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.919 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.920 * [taylor]: Taking taylor expansion of 1.0 in n 5.920 * [backup-simplify]: Simplify 1.0 into 1.0 5.920 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.920 * [taylor]: Taking taylor expansion of 2.0 in n 5.920 * [backup-simplify]: Simplify 2.0 into 2.0 5.920 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.920 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.921 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.921 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.921 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.921 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.921 * [taylor]: Taking taylor expansion of 1.0 in n 5.921 * [backup-simplify]: Simplify 1.0 into 1.0 5.921 * [taylor]: Taking taylor expansion of (log n) in n 5.921 * [taylor]: Taking taylor expansion of n in n 5.921 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify (log 1) into 0 5.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.922 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.922 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.922 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.922 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.922 * [taylor]: Taking taylor expansion of 1.0 in n 5.922 * [backup-simplify]: Simplify 1.0 into 1.0 5.922 * [taylor]: Taking taylor expansion of (log PI) in n 5.922 * [taylor]: Taking taylor expansion of PI in n 5.922 * [backup-simplify]: Simplify PI into PI 5.923 * [backup-simplify]: Simplify (log PI) into (log PI) 5.923 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.924 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.925 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.925 * [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) 5.926 * [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)) 5.927 * [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))) 5.928 * [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) 5.928 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 5.928 * [taylor]: Taking taylor expansion of (log PI) in n 5.928 * [taylor]: Taking taylor expansion of PI in n 5.928 * [backup-simplify]: Simplify PI into PI 5.928 * [backup-simplify]: Simplify (log PI) into (log PI) 5.928 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))) in n 5.928 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))) in n 5.928 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 5.928 * [taylor]: Taking taylor expansion of +nan.0 in n 5.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.928 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 5.929 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.929 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.929 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.929 * [taylor]: Taking taylor expansion of 0.5 in n 5.929 * [backup-simplify]: Simplify 0.5 into 0.5 5.929 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.929 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.929 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.929 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.929 * [taylor]: Taking taylor expansion of 1.0 in n 5.929 * [backup-simplify]: Simplify 1.0 into 1.0 5.929 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.929 * [taylor]: Taking taylor expansion of 2.0 in n 5.929 * [backup-simplify]: Simplify 2.0 into 2.0 5.929 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.930 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.931 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.931 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.931 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.931 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.931 * [taylor]: Taking taylor expansion of 1.0 in n 5.931 * [backup-simplify]: Simplify 1.0 into 1.0 5.931 * [taylor]: Taking taylor expansion of (log n) in n 5.931 * [taylor]: Taking taylor expansion of n in n 5.931 * [backup-simplify]: Simplify 0 into 0 5.931 * [backup-simplify]: Simplify 1 into 1 5.931 * [backup-simplify]: Simplify (log 1) into 0 5.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.931 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.931 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.931 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.931 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.931 * [taylor]: Taking taylor expansion of 1.0 in n 5.931 * [backup-simplify]: Simplify 1.0 into 1.0 5.931 * [taylor]: Taking taylor expansion of (log PI) in n 5.931 * [taylor]: Taking taylor expansion of PI in n 5.931 * [backup-simplify]: Simplify PI into PI 5.932 * [backup-simplify]: Simplify (log PI) into (log PI) 5.933 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.934 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.934 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.935 * [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) 5.936 * [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)) 5.937 * [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))) 5.938 * [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) 5.938 * [taylor]: Taking taylor expansion of (log PI) in n 5.938 * [taylor]: Taking taylor expansion of PI in n 5.938 * [backup-simplify]: Simplify PI into PI 5.938 * [backup-simplify]: Simplify (log PI) into (log PI) 5.938 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))) in n 5.938 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) in n 5.938 * [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 5.938 * [taylor]: Taking taylor expansion of +nan.0 in n 5.938 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.938 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.938 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.938 * [taylor]: Taking taylor expansion of 0.5 in n 5.938 * [backup-simplify]: Simplify 0.5 into 0.5 5.938 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.938 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.938 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.938 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.938 * [taylor]: Taking taylor expansion of 1.0 in n 5.938 * [backup-simplify]: Simplify 1.0 into 1.0 5.938 * [taylor]: Taking taylor expansion of (log PI) in n 5.938 * [taylor]: Taking taylor expansion of PI in n 5.938 * [backup-simplify]: Simplify PI into PI 5.939 * [backup-simplify]: Simplify (log PI) into (log PI) 5.939 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.940 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.940 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.940 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.940 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.940 * [taylor]: Taking taylor expansion of 1.0 in n 5.940 * [backup-simplify]: Simplify 1.0 into 1.0 5.940 * [taylor]: Taking taylor expansion of (log n) in n 5.940 * [taylor]: Taking taylor expansion of n in n 5.940 * [backup-simplify]: Simplify 0 into 0 5.940 * [backup-simplify]: Simplify 1 into 1 5.941 * [backup-simplify]: Simplify (log 1) into 0 5.941 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.941 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.941 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.941 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.941 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.941 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.941 * [taylor]: Taking taylor expansion of 1.0 in n 5.941 * [backup-simplify]: Simplify 1.0 into 1.0 5.941 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.941 * [taylor]: Taking taylor expansion of 2.0 in n 5.941 * [backup-simplify]: Simplify 2.0 into 2.0 5.941 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.942 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.943 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.943 * [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) 5.944 * [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) 5.945 * [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)) 5.946 * [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))) 5.947 * [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) 5.947 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))) in n 5.947 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) in n 5.947 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 5.947 * [taylor]: Taking taylor expansion of +nan.0 in n 5.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.947 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 5.947 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 5.947 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.947 * [taylor]: Taking taylor expansion of 2.0 in n 5.947 * [backup-simplify]: Simplify 2.0 into 2.0 5.947 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.947 * [taylor]: Taking taylor expansion of (log PI) in n 5.947 * [taylor]: Taking taylor expansion of PI in n 5.947 * [backup-simplify]: Simplify PI into PI 5.948 * [backup-simplify]: Simplify (log PI) into (log PI) 5.948 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.948 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.948 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.948 * [taylor]: Taking taylor expansion of 0.5 in n 5.948 * [backup-simplify]: Simplify 0.5 into 0.5 5.948 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.948 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.948 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.948 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.948 * [taylor]: Taking taylor expansion of 1.0 in n 5.948 * [backup-simplify]: Simplify 1.0 into 1.0 5.948 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.948 * [taylor]: Taking taylor expansion of 2.0 in n 5.948 * [backup-simplify]: Simplify 2.0 into 2.0 5.948 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.949 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.950 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.950 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.950 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.950 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.950 * [taylor]: Taking taylor expansion of 1.0 in n 5.950 * [backup-simplify]: Simplify 1.0 into 1.0 5.950 * [taylor]: Taking taylor expansion of (log n) in n 5.950 * [taylor]: Taking taylor expansion of n in n 5.950 * [backup-simplify]: Simplify 0 into 0 5.950 * [backup-simplify]: Simplify 1 into 1 5.950 * [backup-simplify]: Simplify (log 1) into 0 5.950 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.950 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.950 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.950 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.951 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.951 * [taylor]: Taking taylor expansion of 1.0 in n 5.951 * [backup-simplify]: Simplify 1.0 into 1.0 5.951 * [taylor]: Taking taylor expansion of (log PI) in n 5.951 * [taylor]: Taking taylor expansion of PI in n 5.951 * [backup-simplify]: Simplify PI into PI 5.951 * [backup-simplify]: Simplify (log PI) into (log PI) 5.951 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.952 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.953 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.954 * [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) 5.954 * [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)) 5.955 * [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))) 5.956 * [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) 5.956 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) in n 5.956 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))) in n 5.956 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 5.956 * [taylor]: Taking taylor expansion of +nan.0 in n 5.956 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.956 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 5.956 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.956 * [taylor]: Taking taylor expansion of 2.0 in n 5.956 * [backup-simplify]: Simplify 2.0 into 2.0 5.957 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.957 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.957 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.957 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.957 * [taylor]: Taking taylor expansion of 0.5 in n 5.957 * [backup-simplify]: Simplify 0.5 into 0.5 5.957 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.957 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.957 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.957 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.957 * [taylor]: Taking taylor expansion of 1.0 in n 5.957 * [backup-simplify]: Simplify 1.0 into 1.0 5.957 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.957 * [taylor]: Taking taylor expansion of 2.0 in n 5.957 * [backup-simplify]: Simplify 2.0 into 2.0 5.957 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.958 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.965 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.965 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.965 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.965 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.965 * [taylor]: Taking taylor expansion of 1.0 in n 5.965 * [backup-simplify]: Simplify 1.0 into 1.0 5.965 * [taylor]: Taking taylor expansion of (log n) in n 5.965 * [taylor]: Taking taylor expansion of n in n 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (log 1) into 0 5.966 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.966 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.966 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.966 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.966 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.966 * [taylor]: Taking taylor expansion of 1.0 in n 5.966 * [backup-simplify]: Simplify 1.0 into 1.0 5.966 * [taylor]: Taking taylor expansion of (log PI) in n 5.966 * [taylor]: Taking taylor expansion of PI in n 5.966 * [backup-simplify]: Simplify PI into PI 5.966 * [backup-simplify]: Simplify (log PI) into (log PI) 5.967 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.968 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.968 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.969 * [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) 5.970 * [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)) 5.971 * [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))) 5.972 * [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) 5.972 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) in n 5.972 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 5.972 * [taylor]: Taking taylor expansion of +nan.0 in n 5.972 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.972 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 5.972 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 5.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.972 * [taylor]: Taking taylor expansion of 2.0 in n 5.972 * [backup-simplify]: Simplify 2.0 into 2.0 5.972 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.972 * [taylor]: Taking taylor expansion of (log n) in n 5.972 * [taylor]: Taking taylor expansion of n in n 5.972 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify 1 into 1 5.972 * [backup-simplify]: Simplify (log 1) into 0 5.972 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.972 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.972 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.972 * [taylor]: Taking taylor expansion of 0.5 in n 5.973 * [backup-simplify]: Simplify 0.5 into 0.5 5.973 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.973 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.973 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.973 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.973 * [taylor]: Taking taylor expansion of 1.0 in n 5.973 * [backup-simplify]: Simplify 1.0 into 1.0 5.973 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.973 * [taylor]: Taking taylor expansion of 2.0 in n 5.973 * [backup-simplify]: Simplify 2.0 into 2.0 5.973 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 5.973 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 5.974 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 5.974 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.975 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.975 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.975 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.975 * [taylor]: Taking taylor expansion of 1.0 in n 5.975 * [backup-simplify]: Simplify 1.0 into 1.0 5.975 * [taylor]: Taking taylor expansion of (log PI) in n 5.975 * [taylor]: Taking taylor expansion of PI in n 5.975 * [backup-simplify]: Simplify PI into PI 5.975 * [backup-simplify]: Simplify (log PI) into (log PI) 5.976 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 5.977 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 5.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.977 * [taylor]: Taking taylor expansion of 1.0 in n 5.977 * [backup-simplify]: Simplify 1.0 into 1.0 5.977 * [taylor]: Taking taylor expansion of (log n) in n 5.977 * [taylor]: Taking taylor expansion of n in n 5.977 * [backup-simplify]: Simplify 0 into 0 5.977 * [backup-simplify]: Simplify 1 into 1 5.977 * [backup-simplify]: Simplify (log 1) into 0 5.977 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.977 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 5.978 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 5.978 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow n 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 5.979 * [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) 5.980 * [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)) 5.980 * [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))) 5.981 * [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) 5.982 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.982 * [backup-simplify]: Simplify (* (log n) (log PI)) into (* (log n) (log PI)) 5.983 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (log n) (log PI))) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log PI))) 5.984 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log PI)))) into (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.985 * [backup-simplify]: Simplify (* (log 2.0) (log 2.0)) into (pow (log 2.0) 2) 5.987 * [backup-simplify]: Simplify (* (pow (log 2.0) 2) (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 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 5.988 * [backup-simplify]: Simplify (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 5.989 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.990 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log n)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) 5.990 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) into (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.991 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 5.991 * [backup-simplify]: Simplify (* (log n) (log n)) into (pow (log n) 2) 5.992 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log n) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2)) 5.993 * [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))) into (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 5.994 * [backup-simplify]: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 5.996 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log PI) 2)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) 5.997 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) 5.998 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log PI)) into (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) 6.000 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) into (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) 6.001 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 6.002 * [backup-simplify]: Simplify (* (log 2.0) (log PI)) into (* (log 2.0) (log PI)) 6.004 * [backup-simplify]: Simplify (* (* (log 2.0) (log PI)) (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 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 6.006 * [backup-simplify]: Simplify (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.007 * [backup-simplify]: Simplify (* (log 2.0) (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 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 6.008 * [backup-simplify]: Simplify (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 6.008 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 6.009 * [backup-simplify]: Simplify (* (log 2.0) (log n)) into (* (log 2.0) (log n)) 6.010 * [backup-simplify]: Simplify (* (* (log 2.0) (log n)) (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 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) 6.011 * [backup-simplify]: Simplify (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) into (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 6.012 * [backup-simplify]: Simplify (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) into (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) 6.016 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) 6.019 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) 6.024 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) into (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) 6.029 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) 6.034 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))) 6.041 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))) into (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 6.049 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +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) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))) 6.057 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))) 6.072 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) 6.082 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 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 PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) 6.093 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 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 PI) 2))) (- (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +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 PI))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))) 6.104 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +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 PI))) (- (* +nan.0 (* (log 2.0) (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)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))) 6.117 * [backup-simplify]: Simplify (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))))) into (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (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 PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))) 6.130 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (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 PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))))))))))))) into (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (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) (log PI))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))) 6.147 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (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) (log PI))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (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 PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))))))))) 6.170 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (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 PI))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))))))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))))) 6.188 * [backup-simplify]: Simplify (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))))))))))) 6.209 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))))))))))) into (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))))))) 6.228 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)))))))))))))))))))))) 6.258 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (- (+ (* +nan.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (log n) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (log 2.0) (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)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)))))))))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))))))))))))))))))))) 6.259 * [backup-simplify]: Simplify (* (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow PI (/ (- 1.0 (/ 1 k)) 2.0)))) (sqrt (/ 1 k))) (pow (/ 1 n) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))))) 6.259 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))))) in (k n) around 0 6.259 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))))) in n 6.259 * [taylor]: Taking taylor expansion of 1.0 in n 6.259 * [backup-simplify]: Simplify 1.0 into 1.0 6.259 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in n 6.259 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.259 * [taylor]: Taking taylor expansion of k in n 6.259 * [backup-simplify]: Simplify k into k 6.259 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 6.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 6.259 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.259 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 6.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 6.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 6.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.259 * [taylor]: Taking taylor expansion of 0.5 in n 6.259 * [backup-simplify]: Simplify 0.5 into 0.5 6.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.259 * [taylor]: Taking taylor expansion of 1.0 in n 6.259 * [backup-simplify]: Simplify 1.0 into 1.0 6.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.259 * [taylor]: Taking taylor expansion of k in n 6.259 * [backup-simplify]: Simplify k into k 6.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.259 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.259 * [taylor]: Taking taylor expansion of 2.0 in n 6.259 * [backup-simplify]: Simplify 2.0 into 2.0 6.260 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.260 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.260 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.260 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.260 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 6.261 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 6.261 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 6.261 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.261 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.261 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.261 * [taylor]: Taking taylor expansion of 0.5 in n 6.261 * [backup-simplify]: Simplify 0.5 into 0.5 6.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.261 * [taylor]: Taking taylor expansion of 1.0 in n 6.261 * [backup-simplify]: Simplify 1.0 into 1.0 6.261 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.261 * [taylor]: Taking taylor expansion of k in n 6.261 * [backup-simplify]: Simplify k into k 6.261 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.261 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.261 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.261 * [taylor]: Taking taylor expansion of n in n 6.261 * [backup-simplify]: Simplify 0 into 0 6.261 * [backup-simplify]: Simplify 1 into 1 6.261 * [backup-simplify]: Simplify (/ 1 1) into 1 6.262 * [backup-simplify]: Simplify (log 1) into 0 6.262 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.262 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.262 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.262 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.262 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log n))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.262 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.262 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 6.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 6.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 6.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.262 * [taylor]: Taking taylor expansion of 0.5 in n 6.262 * [backup-simplify]: Simplify 0.5 into 0.5 6.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.262 * [taylor]: Taking taylor expansion of 1.0 in n 6.262 * [backup-simplify]: Simplify 1.0 into 1.0 6.262 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.262 * [taylor]: Taking taylor expansion of k in n 6.262 * [backup-simplify]: Simplify k into k 6.263 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.263 * [taylor]: Taking taylor expansion of (log PI) in n 6.263 * [taylor]: Taking taylor expansion of PI in n 6.263 * [backup-simplify]: Simplify PI into PI 6.263 * [backup-simplify]: Simplify (log PI) into (log PI) 6.263 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.263 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.263 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 6.263 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) into (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) 6.264 * [backup-simplify]: Simplify (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 6.264 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))))) in k 6.264 * [taylor]: Taking taylor expansion of 1.0 in k 6.264 * [backup-simplify]: Simplify 1.0 into 1.0 6.264 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.264 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.264 * [taylor]: Taking taylor expansion of k in k 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 1 into 1 6.264 * [backup-simplify]: Simplify (sqrt 0) into 0 6.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.265 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.265 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 6.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 6.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 6.265 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.265 * [taylor]: Taking taylor expansion of 0.5 in k 6.265 * [backup-simplify]: Simplify 0.5 into 0.5 6.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.265 * [taylor]: Taking taylor expansion of 1.0 in k 6.265 * [backup-simplify]: Simplify 1.0 into 1.0 6.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.265 * [taylor]: Taking taylor expansion of k in k 6.265 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify 1 into 1 6.266 * [backup-simplify]: Simplify (/ 1 1) into 1 6.266 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.266 * [taylor]: Taking taylor expansion of 2.0 in k 6.266 * [backup-simplify]: Simplify 2.0 into 2.0 6.266 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.266 * [backup-simplify]: Simplify (- 1) into -1 6.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.267 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.267 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 6.268 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 6.268 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 6.268 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.268 * [taylor]: Taking taylor expansion of 0.5 in k 6.268 * [backup-simplify]: Simplify 0.5 into 0.5 6.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.268 * [taylor]: Taking taylor expansion of 1.0 in k 6.268 * [backup-simplify]: Simplify 1.0 into 1.0 6.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.268 * [taylor]: Taking taylor expansion of k in k 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 1 into 1 6.268 * [backup-simplify]: Simplify (/ 1 1) into 1 6.268 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.268 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.268 * [taylor]: Taking taylor expansion of n in k 6.268 * [backup-simplify]: Simplify n into n 6.268 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.268 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.268 * [backup-simplify]: Simplify (- 1) into -1 6.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.269 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.269 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.269 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.269 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 6.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 6.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 6.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.269 * [taylor]: Taking taylor expansion of 0.5 in k 6.269 * [backup-simplify]: Simplify 0.5 into 0.5 6.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.269 * [taylor]: Taking taylor expansion of 1.0 in k 6.269 * [backup-simplify]: Simplify 1.0 into 1.0 6.269 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.269 * [taylor]: Taking taylor expansion of k in k 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.270 * [backup-simplify]: Simplify (/ 1 1) into 1 6.270 * [taylor]: Taking taylor expansion of (log PI) in k 6.270 * [taylor]: Taking taylor expansion of PI in k 6.270 * [backup-simplify]: Simplify PI into PI 6.270 * [backup-simplify]: Simplify (log PI) into (log PI) 6.270 * [backup-simplify]: Simplify (- 1) into -1 6.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.271 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.271 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 6.272 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 6.272 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))))) in k 6.272 * [taylor]: Taking taylor expansion of 1.0 in k 6.272 * [backup-simplify]: Simplify 1.0 into 1.0 6.272 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.272 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.272 * [taylor]: Taking taylor expansion of k in k 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [backup-simplify]: Simplify (sqrt 0) into 0 6.273 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.273 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.273 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 6.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 6.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 6.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.273 * [taylor]: Taking taylor expansion of 0.5 in k 6.273 * [backup-simplify]: Simplify 0.5 into 0.5 6.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.273 * [taylor]: Taking taylor expansion of 1.0 in k 6.273 * [backup-simplify]: Simplify 1.0 into 1.0 6.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.273 * [taylor]: Taking taylor expansion of k in k 6.274 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (/ 1 1) into 1 6.274 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.274 * [taylor]: Taking taylor expansion of 2.0 in k 6.274 * [backup-simplify]: Simplify 2.0 into 2.0 6.274 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.274 * [backup-simplify]: Simplify (- 1) into -1 6.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.275 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.276 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 6.276 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 6.276 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 6.276 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.276 * [taylor]: Taking taylor expansion of 0.5 in k 6.276 * [backup-simplify]: Simplify 0.5 into 0.5 6.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.276 * [taylor]: Taking taylor expansion of 1.0 in k 6.276 * [backup-simplify]: Simplify 1.0 into 1.0 6.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.276 * [taylor]: Taking taylor expansion of k in k 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (/ 1 1) into 1 6.277 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.277 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.277 * [taylor]: Taking taylor expansion of n in k 6.277 * [backup-simplify]: Simplify n into n 6.277 * [backup-simplify]: Simplify (/ 1 n) into (/ 1 n) 6.277 * [backup-simplify]: Simplify (log (/ 1 n)) into (log (/ 1 n)) 6.277 * [backup-simplify]: Simplify (- 1) into -1 6.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.278 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.278 * [backup-simplify]: Simplify (* -0.5 (log (/ 1 n))) into (* -0.5 (log (/ 1 n))) 6.278 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) into (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 6.278 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 6.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 6.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 6.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.278 * [taylor]: Taking taylor expansion of 0.5 in k 6.278 * [backup-simplify]: Simplify 0.5 into 0.5 6.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.278 * [taylor]: Taking taylor expansion of 1.0 in k 6.278 * [backup-simplify]: Simplify 1.0 into 1.0 6.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.278 * [taylor]: Taking taylor expansion of k in k 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 1 into 1 6.278 * [backup-simplify]: Simplify (/ 1 1) into 1 6.278 * [taylor]: Taking taylor expansion of (log PI) in k 6.278 * [taylor]: Taking taylor expansion of PI in k 6.278 * [backup-simplify]: Simplify PI into PI 6.279 * [backup-simplify]: Simplify (log PI) into (log PI) 6.279 * [backup-simplify]: Simplify (- 1) into -1 6.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.279 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 6.280 * [backup-simplify]: Simplify (* -0.5 (log PI)) into (* -0.5 (log PI)) 6.280 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) into (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) 6.281 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) 6.282 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 6.283 * [backup-simplify]: Simplify (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 6.283 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.283 * [taylor]: Taking taylor expansion of 0 in n 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) into 0 6.285 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 6.286 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.287 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.287 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) in n 6.287 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) in n 6.287 * [taylor]: Taking taylor expansion of +nan.0 in n 6.287 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.287 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 6.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.287 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.287 * [taylor]: Taking taylor expansion of 0.5 in n 6.287 * [backup-simplify]: Simplify 0.5 into 0.5 6.287 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.287 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.287 * [taylor]: Taking taylor expansion of n in n 6.287 * [backup-simplify]: Simplify 0 into 0 6.287 * [backup-simplify]: Simplify 1 into 1 6.288 * [backup-simplify]: Simplify (/ 1 1) into 1 6.288 * [backup-simplify]: Simplify (log 1) into 0 6.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.288 * [taylor]: Taking taylor expansion of 1.0 in n 6.288 * [backup-simplify]: Simplify 1.0 into 1.0 6.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.288 * [taylor]: Taking taylor expansion of k in n 6.288 * [backup-simplify]: Simplify k into k 6.288 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.288 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.288 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.288 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.289 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 6.289 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.289 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.289 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 6.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 6.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 6.290 * [taylor]: Taking taylor expansion of 0.5 in n 6.290 * [backup-simplify]: Simplify 0.5 into 0.5 6.290 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 6.290 * [taylor]: Taking taylor expansion of (log PI) in n 6.290 * [taylor]: Taking taylor expansion of PI in n 6.290 * [backup-simplify]: Simplify PI into PI 6.291 * [backup-simplify]: Simplify (log PI) into (log PI) 6.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.291 * [taylor]: Taking taylor expansion of 1.0 in n 6.291 * [backup-simplify]: Simplify 1.0 into 1.0 6.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.291 * [taylor]: Taking taylor expansion of k in n 6.291 * [backup-simplify]: Simplify k into k 6.291 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.291 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.291 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.291 * [backup-simplify]: Simplify (* (log PI) (- 1.0 (/ 1 k))) into (* (- 1.0 (/ 1 k)) (log PI)) 6.292 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) 6.292 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 6.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 6.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 6.292 * [taylor]: Taking taylor expansion of 0.5 in n 6.292 * [backup-simplify]: Simplify 0.5 into 0.5 6.292 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 6.292 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.292 * [taylor]: Taking taylor expansion of 2.0 in n 6.293 * [backup-simplify]: Simplify 2.0 into 2.0 6.293 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.293 * [taylor]: Taking taylor expansion of 1.0 in n 6.293 * [backup-simplify]: Simplify 1.0 into 1.0 6.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.293 * [taylor]: Taking taylor expansion of k in n 6.293 * [backup-simplify]: Simplify k into k 6.293 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.293 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.293 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.293 * [backup-simplify]: Simplify (* (log 2.0) (- 1.0 (/ 1 k))) into (* (log 2.0) (- 1.0 (/ 1 k))) 6.294 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 6.294 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 6.295 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 6.296 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 6.296 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 6.297 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.298 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.298 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) into 0 6.300 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 6.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.305 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) in n 6.306 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) in n 6.306 * [taylor]: Taking taylor expansion of +nan.0 in n 6.306 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.306 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 6.306 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.306 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.306 * [taylor]: Taking taylor expansion of 0.5 in n 6.306 * [backup-simplify]: Simplify 0.5 into 0.5 6.306 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.306 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.306 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.306 * [taylor]: Taking taylor expansion of n in n 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.306 * [backup-simplify]: Simplify (/ 1 1) into 1 6.306 * [backup-simplify]: Simplify (log 1) into 0 6.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.306 * [taylor]: Taking taylor expansion of 1.0 in n 6.306 * [backup-simplify]: Simplify 1.0 into 1.0 6.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.306 * [taylor]: Taking taylor expansion of k in n 6.306 * [backup-simplify]: Simplify k into k 6.306 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.307 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.307 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.307 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.307 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 6.307 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.307 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.307 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 6.307 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 6.307 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 6.307 * [taylor]: Taking taylor expansion of 0.5 in n 6.307 * [backup-simplify]: Simplify 0.5 into 0.5 6.307 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 6.307 * [taylor]: Taking taylor expansion of (log PI) in n 6.307 * [taylor]: Taking taylor expansion of PI in n 6.307 * [backup-simplify]: Simplify PI into PI 6.308 * [backup-simplify]: Simplify (log PI) into (log PI) 6.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.308 * [taylor]: Taking taylor expansion of 1.0 in n 6.308 * [backup-simplify]: Simplify 1.0 into 1.0 6.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.308 * [taylor]: Taking taylor expansion of k in n 6.308 * [backup-simplify]: Simplify k into k 6.308 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.308 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.308 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.308 * [backup-simplify]: Simplify (* (log PI) (- 1.0 (/ 1 k))) into (* (- 1.0 (/ 1 k)) (log PI)) 6.309 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) 6.309 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 6.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 6.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 6.309 * [taylor]: Taking taylor expansion of 0.5 in n 6.309 * [backup-simplify]: Simplify 0.5 into 0.5 6.309 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 6.309 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.309 * [taylor]: Taking taylor expansion of 2.0 in n 6.309 * [backup-simplify]: Simplify 2.0 into 2.0 6.309 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.309 * [taylor]: Taking taylor expansion of 1.0 in n 6.309 * [backup-simplify]: Simplify 1.0 into 1.0 6.309 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.309 * [taylor]: Taking taylor expansion of k in n 6.309 * [backup-simplify]: Simplify k into k 6.309 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.310 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.310 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.310 * [backup-simplify]: Simplify (* (log 2.0) (- 1.0 (/ 1 k))) into (* (log 2.0) (- 1.0 (/ 1 k))) 6.310 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 6.311 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 6.311 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 6.312 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 6.313 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 6.314 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.315 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.315 * [backup-simplify]: Simplify (- 0) into 0 6.315 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 6.317 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (- 1.0 (/ 1 k))))) into 0 6.318 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.318 * [backup-simplify]: Simplify (- 0) into 0 6.318 * [backup-simplify]: Simplify (+ 0 0) into 0 6.319 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 6.320 * [backup-simplify]: Simplify (+ (* (log PI) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log PI)))) into 0 6.321 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.322 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into 0 6.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.322 * [backup-simplify]: Simplify (- 0) into 0 6.323 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.324 * [backup-simplify]: Simplify (+ (* (- (log n)) 0) (* 0 (- 1.0 (/ 1 k)))) into 0 6.324 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (* (log n) (- 1.0 (/ 1 k)))))) into 0 6.325 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 6.326 * [backup-simplify]: Simplify (+ (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into 0 6.327 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into 0 6.327 * [backup-simplify]: Simplify (- 0) into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))))) into 0 6.329 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))))) into 0 6.332 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.336 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))))) (* 0 0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) in n 6.336 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) in n 6.336 * [taylor]: Taking taylor expansion of +nan.0 in n 6.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.336 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 6.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.337 * [taylor]: Taking taylor expansion of 0.5 in n 6.337 * [backup-simplify]: Simplify 0.5 into 0.5 6.337 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.337 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.337 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.337 * [taylor]: Taking taylor expansion of n in n 6.337 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (/ 1 1) into 1 6.337 * [backup-simplify]: Simplify (log 1) into 0 6.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.337 * [taylor]: Taking taylor expansion of 1.0 in n 6.337 * [backup-simplify]: Simplify 1.0 into 1.0 6.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.337 * [taylor]: Taking taylor expansion of k in n 6.337 * [backup-simplify]: Simplify k into k 6.337 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.338 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 6.338 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.338 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.338 * [backup-simplify]: Simplify (* (- (log n)) (- 1.0 (/ 1 k))) into (* -1 (* (log n) (- 1.0 (/ 1 k)))) 6.338 * [backup-simplify]: Simplify (* 0.5 (* -1 (* (log n) (- 1.0 (/ 1 k))))) into (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) 6.338 * [backup-simplify]: Simplify (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) into (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) 6.338 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 6.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 6.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 6.338 * [taylor]: Taking taylor expansion of 0.5 in n 6.338 * [backup-simplify]: Simplify 0.5 into 0.5 6.338 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 6.338 * [taylor]: Taking taylor expansion of (log PI) in n 6.338 * [taylor]: Taking taylor expansion of PI in n 6.338 * [backup-simplify]: Simplify PI into PI 6.339 * [backup-simplify]: Simplify (log PI) into (log PI) 6.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.339 * [taylor]: Taking taylor expansion of 1.0 in n 6.339 * [backup-simplify]: Simplify 1.0 into 1.0 6.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.339 * [taylor]: Taking taylor expansion of k in n 6.339 * [backup-simplify]: Simplify k into k 6.339 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.339 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.339 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.339 * [backup-simplify]: Simplify (* (log PI) (- 1.0 (/ 1 k))) into (* (- 1.0 (/ 1 k)) (log PI)) 6.339 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log PI))) 6.340 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) 6.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 6.340 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 6.340 * [taylor]: Taking taylor expansion of 0.5 in n 6.340 * [backup-simplify]: Simplify 0.5 into 0.5 6.340 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 6.340 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.340 * [taylor]: Taking taylor expansion of 2.0 in n 6.340 * [backup-simplify]: Simplify 2.0 into 2.0 6.340 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.340 * [taylor]: Taking taylor expansion of 1.0 in n 6.340 * [backup-simplify]: Simplify 1.0 into 1.0 6.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.340 * [taylor]: Taking taylor expansion of k in n 6.340 * [backup-simplify]: Simplify k into k 6.340 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.340 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 6.341 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 6.341 * [backup-simplify]: Simplify (* (log 2.0) (- 1.0 (/ 1 k))) into (* (log 2.0) (- 1.0 (/ 1 k))) 6.341 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) into (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) 6.341 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) into (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) 6.342 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) 6.343 * [backup-simplify]: Simplify (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) 6.344 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) into (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) 6.345 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.352 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log PI)))) (* (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))))) 6.356 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k)))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k)))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log PI)))) (* (exp (* -0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 (/ 1 k)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 (/ 1 k)))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k))))))) 6.356 * [backup-simplify]: Simplify (* (/ (* 1.0 (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow PI (/ (- 1.0 (/ 1 (- k))) 2.0)))) (sqrt (/ 1 (- k)))) (pow (/ 1 (- n)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) 6.356 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in (k n) around 0 6.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in n 6.356 * [taylor]: Taking taylor expansion of 1.0 in n 6.356 * [backup-simplify]: Simplify 1.0 into 1.0 6.356 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in n 6.356 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 6.356 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.356 * [taylor]: Taking taylor expansion of 0.5 in n 6.356 * [backup-simplify]: Simplify 0.5 into 0.5 6.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.356 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.356 * [taylor]: Taking taylor expansion of k in n 6.357 * [backup-simplify]: Simplify k into k 6.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.357 * [taylor]: Taking taylor expansion of 1.0 in n 6.357 * [backup-simplify]: Simplify 1.0 into 1.0 6.357 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.357 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.357 * [taylor]: Taking taylor expansion of -1 in n 6.357 * [backup-simplify]: Simplify -1 into -1 6.357 * [taylor]: Taking taylor expansion of n in n 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (/ -1 1) into -1 6.357 * [backup-simplify]: Simplify (log -1) into (log -1) 6.357 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.357 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.358 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log -1) (log n))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.359 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.359 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 6.359 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 6.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 6.359 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 6.359 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.359 * [taylor]: Taking taylor expansion of 0.5 in n 6.359 * [backup-simplify]: Simplify 0.5 into 0.5 6.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.359 * [taylor]: Taking taylor expansion of k in n 6.359 * [backup-simplify]: Simplify k into k 6.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.359 * [taylor]: Taking taylor expansion of 1.0 in n 6.359 * [backup-simplify]: Simplify 1.0 into 1.0 6.359 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.359 * [taylor]: Taking taylor expansion of 2.0 in n 6.359 * [backup-simplify]: Simplify 2.0 into 2.0 6.360 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.360 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.360 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.360 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 6.360 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 6.360 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 6.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 6.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 6.361 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.361 * [taylor]: Taking taylor expansion of 0.5 in n 6.361 * [backup-simplify]: Simplify 0.5 into 0.5 6.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.361 * [taylor]: Taking taylor expansion of k in n 6.361 * [backup-simplify]: Simplify k into k 6.361 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.361 * [taylor]: Taking taylor expansion of 1.0 in n 6.361 * [backup-simplify]: Simplify 1.0 into 1.0 6.361 * [taylor]: Taking taylor expansion of (log PI) in n 6.361 * [taylor]: Taking taylor expansion of PI in n 6.361 * [backup-simplify]: Simplify PI into PI 6.361 * [backup-simplify]: Simplify (log PI) into (log PI) 6.361 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.361 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 6.362 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 6.362 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 6.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.362 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.362 * [taylor]: Taking taylor expansion of -1 in n 6.362 * [backup-simplify]: Simplify -1 into -1 6.362 * [taylor]: Taking taylor expansion of k in n 6.362 * [backup-simplify]: Simplify k into k 6.362 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 6.362 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 6.362 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 6.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 6.363 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 6.364 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 6.365 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) (sqrt (/ -1 k))) into (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) (sqrt (/ -1 k))) 6.365 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in k 6.365 * [taylor]: Taking taylor expansion of 1.0 in k 6.365 * [backup-simplify]: Simplify 1.0 into 1.0 6.365 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in k 6.365 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 6.365 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.365 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.365 * [taylor]: Taking taylor expansion of 0.5 in k 6.365 * [backup-simplify]: Simplify 0.5 into 0.5 6.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.366 * [taylor]: Taking taylor expansion of k in k 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [backup-simplify]: Simplify (/ 1 1) into 1 6.366 * [taylor]: Taking taylor expansion of 1.0 in k 6.366 * [backup-simplify]: Simplify 1.0 into 1.0 6.366 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.366 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.366 * [taylor]: Taking taylor expansion of -1 in k 6.366 * [backup-simplify]: Simplify -1 into -1 6.366 * [taylor]: Taking taylor expansion of n in k 6.366 * [backup-simplify]: Simplify n into n 6.366 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.366 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.366 * [backup-simplify]: Simplify (+ 1 0) into 1 6.367 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.367 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.367 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.367 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.367 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 6.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 6.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 6.367 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.367 * [taylor]: Taking taylor expansion of 0.5 in k 6.367 * [backup-simplify]: Simplify 0.5 into 0.5 6.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.367 * [taylor]: Taking taylor expansion of k in k 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (/ 1 1) into 1 6.367 * [taylor]: Taking taylor expansion of 1.0 in k 6.367 * [backup-simplify]: Simplify 1.0 into 1.0 6.367 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.367 * [taylor]: Taking taylor expansion of 2.0 in k 6.367 * [backup-simplify]: Simplify 2.0 into 2.0 6.368 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.368 * [backup-simplify]: Simplify (+ 1 0) into 1 6.368 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.369 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 6.369 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 6.369 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 6.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 6.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 6.369 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.369 * [taylor]: Taking taylor expansion of 0.5 in k 6.369 * [backup-simplify]: Simplify 0.5 into 0.5 6.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.369 * [taylor]: Taking taylor expansion of k in k 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (/ 1 1) into 1 6.370 * [taylor]: Taking taylor expansion of 1.0 in k 6.370 * [backup-simplify]: Simplify 1.0 into 1.0 6.370 * [taylor]: Taking taylor expansion of (log PI) in k 6.370 * [taylor]: Taking taylor expansion of PI in k 6.370 * [backup-simplify]: Simplify PI into PI 6.370 * [backup-simplify]: Simplify (log PI) into (log PI) 6.370 * [backup-simplify]: Simplify (+ 1 0) into 1 6.370 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.371 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 6.371 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 6.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.371 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.371 * [taylor]: Taking taylor expansion of -1 in k 6.371 * [backup-simplify]: Simplify -1 into -1 6.371 * [taylor]: Taking taylor expansion of k in k 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (/ -1 1) into -1 6.372 * [backup-simplify]: Simplify (sqrt 0) into 0 6.373 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.374 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 6.374 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 6.375 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 6.375 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k)))) in k 6.375 * [taylor]: Taking taylor expansion of 1.0 in k 6.376 * [backup-simplify]: Simplify 1.0 into 1.0 6.376 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in k 6.376 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 6.376 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.376 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.376 * [taylor]: Taking taylor expansion of 0.5 in k 6.376 * [backup-simplify]: Simplify 0.5 into 0.5 6.376 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.376 * [taylor]: Taking taylor expansion of k in k 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [taylor]: Taking taylor expansion of 1.0 in k 6.377 * [backup-simplify]: Simplify 1.0 into 1.0 6.377 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.377 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.377 * [taylor]: Taking taylor expansion of -1 in k 6.377 * [backup-simplify]: Simplify -1 into -1 6.377 * [taylor]: Taking taylor expansion of n in k 6.377 * [backup-simplify]: Simplify n into n 6.377 * [backup-simplify]: Simplify (/ -1 n) into (/ -1 n) 6.377 * [backup-simplify]: Simplify (log (/ -1 n)) into (log (/ -1 n)) 6.378 * [backup-simplify]: Simplify (+ 1 0) into 1 6.378 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.378 * [backup-simplify]: Simplify (* 0.5 (log (/ -1 n))) into (* 0.5 (log (/ -1 n))) 6.378 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 6.378 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.378 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 6.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 6.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 6.378 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.378 * [taylor]: Taking taylor expansion of 0.5 in k 6.378 * [backup-simplify]: Simplify 0.5 into 0.5 6.378 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.378 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.378 * [taylor]: Taking taylor expansion of k in k 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (/ 1 1) into 1 6.379 * [taylor]: Taking taylor expansion of 1.0 in k 6.379 * [backup-simplify]: Simplify 1.0 into 1.0 6.379 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.379 * [taylor]: Taking taylor expansion of 2.0 in k 6.379 * [backup-simplify]: Simplify 2.0 into 2.0 6.379 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.379 * [backup-simplify]: Simplify (+ 1 0) into 1 6.380 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.380 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 6.381 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 6.381 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 6.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 6.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 6.381 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.381 * [taylor]: Taking taylor expansion of 0.5 in k 6.381 * [backup-simplify]: Simplify 0.5 into 0.5 6.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.381 * [taylor]: Taking taylor expansion of k in k 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.381 * [backup-simplify]: Simplify (/ 1 1) into 1 6.381 * [taylor]: Taking taylor expansion of 1.0 in k 6.381 * [backup-simplify]: Simplify 1.0 into 1.0 6.381 * [taylor]: Taking taylor expansion of (log PI) in k 6.381 * [taylor]: Taking taylor expansion of PI in k 6.381 * [backup-simplify]: Simplify PI into PI 6.382 * [backup-simplify]: Simplify (log PI) into (log PI) 6.382 * [backup-simplify]: Simplify (+ 1 0) into 1 6.382 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.383 * [backup-simplify]: Simplify (* 0.5 (log PI)) into (* 0.5 (log PI)) 6.383 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 6.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.383 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.383 * [taylor]: Taking taylor expansion of -1 in k 6.383 * [backup-simplify]: Simplify -1 into -1 6.383 * [taylor]: Taking taylor expansion of k in k 6.383 * [backup-simplify]: Simplify 0 into 0 6.383 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (/ -1 1) into -1 6.384 * [backup-simplify]: Simplify (sqrt 0) into 0 6.385 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.385 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 6.386 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) 6.387 * [backup-simplify]: Simplify (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) +nan.0) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 6.388 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) 6.388 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 6.388 * [taylor]: Taking taylor expansion of +nan.0 in n 6.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.388 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 6.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 6.388 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 6.388 * [taylor]: Taking taylor expansion of 0.5 in n 6.388 * [backup-simplify]: Simplify 0.5 into 0.5 6.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 6.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.388 * [taylor]: Taking taylor expansion of k in n 6.388 * [backup-simplify]: Simplify k into k 6.388 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.388 * [taylor]: Taking taylor expansion of 1.0 in n 6.388 * [backup-simplify]: Simplify 1.0 into 1.0 6.388 * [taylor]: Taking taylor expansion of (log PI) in n 6.388 * [taylor]: Taking taylor expansion of PI in n 6.388 * [backup-simplify]: Simplify PI into PI 6.389 * [backup-simplify]: Simplify (log PI) into (log PI) 6.389 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.389 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (log PI)) into (* (+ (/ 1 k) 1.0) (log PI)) 6.389 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 6.390 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 6.390 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 6.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.390 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.390 * [taylor]: Taking taylor expansion of 0.5 in n 6.390 * [backup-simplify]: Simplify 0.5 into 0.5 6.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.390 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.390 * [taylor]: Taking taylor expansion of k in n 6.390 * [backup-simplify]: Simplify k into k 6.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.390 * [taylor]: Taking taylor expansion of 1.0 in n 6.390 * [backup-simplify]: Simplify 1.0 into 1.0 6.390 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.390 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.390 * [taylor]: Taking taylor expansion of -1 in n 6.390 * [backup-simplify]: Simplify -1 into -1 6.390 * [taylor]: Taking taylor expansion of n in n 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (/ -1 1) into -1 6.391 * [backup-simplify]: Simplify (log -1) into (log -1) 6.391 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.392 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 6.392 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.392 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 6.392 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 6.392 * [taylor]: Taking taylor expansion of 0.5 in n 6.392 * [backup-simplify]: Simplify 0.5 into 0.5 6.392 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 6.392 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.392 * [taylor]: Taking taylor expansion of 2.0 in n 6.392 * [backup-simplify]: Simplify 2.0 into 2.0 6.393 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.393 * [taylor]: Taking taylor expansion of k in n 6.393 * [backup-simplify]: Simplify k into k 6.393 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.393 * [taylor]: Taking taylor expansion of 1.0 in n 6.393 * [backup-simplify]: Simplify 1.0 into 1.0 6.393 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.393 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (log 2.0) (+ (/ 1 k) 1.0)) 6.394 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 6.394 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 6.395 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 6.396 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 6.397 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 6.398 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 6.399 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))))) into 0 6.399 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 6.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.403 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) 6.405 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) 6.405 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) in n 6.405 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 6.405 * [taylor]: Taking taylor expansion of +nan.0 in n 6.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.405 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 6.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 6.405 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 6.405 * [taylor]: Taking taylor expansion of 0.5 in n 6.405 * [backup-simplify]: Simplify 0.5 into 0.5 6.405 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 6.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.405 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.405 * [taylor]: Taking taylor expansion of k in n 6.405 * [backup-simplify]: Simplify k into k 6.405 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.405 * [taylor]: Taking taylor expansion of 1.0 in n 6.405 * [backup-simplify]: Simplify 1.0 into 1.0 6.405 * [taylor]: Taking taylor expansion of (log PI) in n 6.405 * [taylor]: Taking taylor expansion of PI in n 6.405 * [backup-simplify]: Simplify PI into PI 6.406 * [backup-simplify]: Simplify (log PI) into (log PI) 6.406 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.406 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (log PI)) into (* (+ (/ 1 k) 1.0) (log PI)) 6.406 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 6.407 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 6.407 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 6.407 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.407 * [taylor]: Taking taylor expansion of 0.5 in n 6.407 * [backup-simplify]: Simplify 0.5 into 0.5 6.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.407 * [taylor]: Taking taylor expansion of k in n 6.407 * [backup-simplify]: Simplify k into k 6.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.407 * [taylor]: Taking taylor expansion of 1.0 in n 6.407 * [backup-simplify]: Simplify 1.0 into 1.0 6.407 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.407 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.407 * [taylor]: Taking taylor expansion of -1 in n 6.407 * [backup-simplify]: Simplify -1 into -1 6.407 * [taylor]: Taking taylor expansion of n in n 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (/ -1 1) into -1 6.408 * [backup-simplify]: Simplify (log -1) into (log -1) 6.408 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.408 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.409 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 6.409 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.410 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 6.410 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 6.410 * [taylor]: Taking taylor expansion of 0.5 in n 6.410 * [backup-simplify]: Simplify 0.5 into 0.5 6.410 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 6.410 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.410 * [taylor]: Taking taylor expansion of 2.0 in n 6.410 * [backup-simplify]: Simplify 2.0 into 2.0 6.410 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.410 * [taylor]: Taking taylor expansion of k in n 6.410 * [backup-simplify]: Simplify k into k 6.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.410 * [taylor]: Taking taylor expansion of 1.0 in n 6.410 * [backup-simplify]: Simplify 1.0 into 1.0 6.410 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.411 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (log 2.0) (+ (/ 1 k) 1.0)) 6.411 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 6.412 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 6.412 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 6.413 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 6.414 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 6.416 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) 6.417 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) 6.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.418 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 6.419 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 6.419 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (log 2.0) (+ (/ 1 k) 1.0)))) into 0 6.420 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.423 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (- (log -1) (log n)))) into 0 6.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into 0 6.424 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.425 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0 6.426 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 6.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.427 * [backup-simplify]: Simplify (+ (* (+ (/ 1 k) 1.0) 0) (* 0 (log PI))) into 0 6.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (log PI)))) into 0 6.429 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 6.430 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 0) (* 0 (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into 0 6.431 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))))))) into 0 6.433 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0 6.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.439 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) 6.442 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))))) (* 0 (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) 6.442 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) in n 6.442 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 6.442 * [taylor]: Taking taylor expansion of +nan.0 in n 6.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.442 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 6.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 6.442 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 6.442 * [taylor]: Taking taylor expansion of 0.5 in n 6.442 * [backup-simplify]: Simplify 0.5 into 0.5 6.442 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 6.442 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.442 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.442 * [taylor]: Taking taylor expansion of k in n 6.442 * [backup-simplify]: Simplify k into k 6.442 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.442 * [taylor]: Taking taylor expansion of 1.0 in n 6.442 * [backup-simplify]: Simplify 1.0 into 1.0 6.442 * [taylor]: Taking taylor expansion of (log PI) in n 6.442 * [taylor]: Taking taylor expansion of PI in n 6.442 * [backup-simplify]: Simplify PI into PI 6.442 * [backup-simplify]: Simplify (log PI) into (log PI) 6.442 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.443 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (log PI)) into (* (+ (/ 1 k) 1.0) (log PI)) 6.443 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) 6.444 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) 6.444 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 6.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.444 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.444 * [taylor]: Taking taylor expansion of 0.5 in n 6.444 * [backup-simplify]: Simplify 0.5 into 0.5 6.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.444 * [taylor]: Taking taylor expansion of k in n 6.444 * [backup-simplify]: Simplify k into k 6.444 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.444 * [taylor]: Taking taylor expansion of 1.0 in n 6.444 * [backup-simplify]: Simplify 1.0 into 1.0 6.444 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.444 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.444 * [taylor]: Taking taylor expansion of -1 in n 6.444 * [backup-simplify]: Simplify -1 into -1 6.444 * [taylor]: Taking taylor expansion of n in n 6.444 * [backup-simplify]: Simplify 0 into 0 6.444 * [backup-simplify]: Simplify 1 into 1 6.444 * [backup-simplify]: Simplify (/ -1 1) into -1 6.444 * [backup-simplify]: Simplify (log -1) into (log -1) 6.444 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 6.445 * [backup-simplify]: Simplify (* (+ (/ 1 k) 1.0) (- (log -1) (log n))) into (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) 6.446 * [backup-simplify]: Simplify (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) 6.446 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) 6.446 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 6.446 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 6.446 * [taylor]: Taking taylor expansion of 0.5 in n 6.446 * [backup-simplify]: Simplify 0.5 into 0.5 6.446 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 6.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.446 * [taylor]: Taking taylor expansion of 2.0 in n 6.446 * [backup-simplify]: Simplify 2.0 into 2.0 6.446 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 6.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.447 * [taylor]: Taking taylor expansion of k in n 6.447 * [backup-simplify]: Simplify k into k 6.447 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 6.447 * [taylor]: Taking taylor expansion of 1.0 in n 6.447 * [backup-simplify]: Simplify 1.0 into 1.0 6.447 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 6.447 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (log 2.0) (+ (/ 1 k) 1.0)) 6.447 * [backup-simplify]: Simplify (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 6.448 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 6.448 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))) 6.449 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))) 6.456 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) into (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))))))) 6.457 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) 6.458 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))))))) 6.463 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log PI)))) (* (exp (* 0.5 (* (log 2.0) (+ (/ 1 (/ 1 (- k))) 1.0)))) (exp (* 0.5 (* (- (log -1) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) k)) (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* 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(+ (* h8 (* (* h1 (log h3)) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h8 (* (* (pow h1 2) (* (log h3) (log h4))) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (+ (* h8 (* (* (pow h1 2) (* (log h0) (log h3))) (pow (* (pow h0 h2) (* (pow h4 h2) (pow h3 h2))) h5))) (- (* h8 (* (pow h1 2) (pow (* (pow h4 h2) (* (pow h3 h2) (pow h0 h2))) h5)))))))))))))))))))))))))))))))) (- (+ (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (* (exp (* h5 (* (- h2 h1) (log h4)))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) (pow h1 2))) (- (+ (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (* (exp (* h5 (* (- h2 h1) (log h4)))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) (pow h1 3))) (- (* h8 (/ (* (exp (* h5 (* (log h0) (- h2 h1)))) (* (exp (* h5 (* (- h2 h1) (log h4)))) (exp (* h7 (* (- h2 h1) (log (/ 1 h3))))))) h1))))))) (- (+ (* h8 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4)))))) h1)) (- (+ (* h8 (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4))))))) (- (* h8 (/ (* (exp (* h5 (* (- h2 h1) (- (log -1) (log (/ -1 h3)))))) (* (exp (* h5 (* (log h0) (- h2 h1)))) (exp (* h5 (* (- h2 h1) (log h4)))))) (pow h1 2)))))))) 6.512 * * * [progress]: adding candidates to table 7.076 * [progress]: [Phase 3 of 3] Extracting. 7.076 * * [regime]: Finding splitpoints for: (# # # # # # #) 7.078 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 7.078 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 7.113 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 7.134 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 7.164 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 7.198 * * * [regime]: Found split indices: #